Answer:
a + b = 12
Step-by-step explanation:
Given
Quadrilateral;
Vertices of (0,1), (3,4) (4,3) and (3,0)
[tex]Perimeter = a\sqrt{2} + b\sqrt{10}[/tex]
Required
[tex]a + b[/tex]
Let the vertices be represented with A,B,C,D such as
A = (0,1); B = (3,4); C = (4,3) and D = (3,0)
To calculate the actual perimeter, we need to first calculate the distance between the points;
Such that:
AB represents distance between point A and B
BC represents distance between point B and C
CD represents distance between point C and D
DA represents distance between point D and A
Calculating AB
Here, we consider A = (0,1); B = (3,4);
Distance is calculated as;
[tex]Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
[tex](x_1,y_1) = A(0,1)[/tex]
[tex](x_2,y_2) = B(3,4)[/tex]
Substitute these values in the formula above
[tex]Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
[tex]AB = \sqrt{(0 - 3)^2 + (1 - 4)^2}[/tex]
[tex]AB = \sqrt{( - 3)^2 + (-3)^2}[/tex]
[tex]AB = \sqrt{9+ 9}[/tex]
[tex]AB = \sqrt{18}[/tex]
[tex]AB = \sqrt{9*2}[/tex]
[tex]AB = \sqrt{9}*\sqrt{2}[/tex]
[tex]AB = 3\sqrt{2}[/tex]
Calculating BC
Here, we consider B = (3,4); C = (4,3)
Here,
[tex](x_1,y_1) = B (3,4)[/tex]
[tex](x_2,y_2) = C(4,3)[/tex]
Substitute these values in the formula above
[tex]Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
[tex]BC = \sqrt{(3 - 4)^2 + (4 - 3)^2}[/tex]
[tex]BC = \sqrt{(-1)^2 + (1)^2}[/tex]
[tex]BC = \sqrt{1 + 1}[/tex]
[tex]BC = \sqrt{2}[/tex]
Calculating CD
Here, we consider C = (4,3); D = (3,0)
Here,
[tex](x_1,y_1) = C(4,3)[/tex]
[tex](x_2,y_2) = D (3,0)[/tex]
Substitute these values in the formula above
[tex]Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
[tex]CD = \sqrt{(4 - 3)^2 + (3 - 0)^2}[/tex]
[tex]CD = \sqrt{(1)^2 + (3)^2}[/tex]
[tex]CD = \sqrt{1 + 9}[/tex]
[tex]CD = \sqrt{10}[/tex]
Lastly;
Calculating DA
Here, we consider C = (4,3); D = (3,0)
Here,
[tex](x_1,y_1) = D (3,0)[/tex]
[tex](x_2,y_2) = A (0,1)[/tex]
Substitute these values in the formula above
[tex]Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
[tex]DA = \sqrt{(3 - 0)^2 + (0 - 1)^2}[/tex]
[tex]DA = \sqrt{(3)^2 + (- 1)^2}[/tex]
[tex]DA = \sqrt{9 + 1}[/tex]
[tex]DA = \sqrt{10}[/tex]
The addition of the values of distances AB, BC, CD and DA gives the perimeter of the quadrilateral
[tex]Perimeter = 3\sqrt{2} + \sqrt{2} + \sqrt{10} + \sqrt{10}[/tex]
[tex]Perimeter = 4\sqrt{2} + 2\sqrt{10}[/tex]
Recall that
[tex]Perimeter = a\sqrt{2} + b\sqrt{10}[/tex]
This implies that
[tex]a\sqrt{2} + b\sqrt{10} = 4\sqrt{2} + 2\sqrt{10}[/tex]
By comparison
[tex]a\sqrt{2} = 4\sqrt{2}[/tex]
Divide both sides by [tex]\sqrt{2}[/tex]
[tex]a = 4[/tex]
By comparison
[tex]b\sqrt{10} = 2\sqrt{10}[/tex]
Divide both sides by [tex]\sqrt{10}[/tex]
[tex]b = 2[/tex]
Hence,
a + b = 2 + 10
a + b = 12
Answer:
a+b=6
Step-by-step explanation:
The tutor verified answer is mostly correct however, if you look under both by comperision sections you will see that it is:
[tex]4\sqrt{2}[/tex] and [tex]2\sqrt{10}[/tex] thus the answer is 4+2=6
The tables below show the number of flowers sold for Mother's Day the week before Mother's Day at two florists. Flower Power Day Number of Flowers Sunday 25 Monday 45 Tuesday 33 Wednesday 15 Thursday 47 Friday 37 Saturday 54Rose in the Hand Day Number of Flowers Sunday 18 Monday 27
Tuesday 55
Wednesday 64
Thursday 56
Friday 25
Saturday 50
What is the difference between the median number of flowers sold at each florist?
A. 49
B. 13
C. 25
D. 7
Answer:
B. 13
Step-by-step explanation:
Flower Power Day Number of Flowers median = 37
Rose in the Hand Day Number of Flowers median = 50
50 - 37 = 13
What is the length of DF?
Answer:
7.06
Step-by-step explanation:
17/8 = 15/DF
DF = 7.06
Graph y=-3x+7 Plz help me
Answer:
y=MX+b
Step-by-step explanation:
b is your y intercept
m is your slope
Answer:
so first start at the origin which is point (0,0). Go up the y-axis 7 points if the graph is scaled by 1s-- do this because the y intercept is point (0,7). Next count 3 points up and one point to the left since the slope of the graph is negative 3. Continue to go up three points and one point to the left until you cannot do so. To go the other way and finish the graph go back to your y intercept (0,7) and go three points down and one point to the right. Continue to do so until there's no more points on the graph and you're done!
What is the domain of this function graphed above?
Answer:
domain: x cant be equal to 3.75
Step-by-step explanation:
I don't know if the problem is in my calculations or the question itself, but the result I got is irrational.
Anyway, here are my calculations. If the help you somehow to solve the question - great!
If not,srry to disappoint you
Here is another easy question to answer: What is the mean of the data sets {41,19,29,12,49,30}, {28,22,10,30,15}, {49,24,18,53,38}?
Answer:
Data set A {41,19,29,12,49,30} = 30
Data set B {28,22,10,30,15} = 21
Data set C{49,24,18,53,38} = 36.4
Step-by-step explanation:
Data set A {41,19,29,12,49,30} =
Mean = Sum of terms/ number of terms
Number of term = 6
Mean = 41 + 19 + 29 + 12 + 49 + 30/ 6
= 180/6 = 30
Data set B {28,22,10,30,15} =
Mean = Sum of terms/ number of terms
Number of term = 5
Mean = 28 + 22 + 10 + 30 + 15/ 5
= 105/5 = 21
Data set C{49,24,18,53,38} =
Mean = Sum of terms/ number of terms
Number of term = 5
Mean =49 + 24 + 18 + 53 + 38/ 5
= 182/5 = 36.4
Perform all indicated operations, and express each answer in simplest form with positive exponents. Assume that all variables represent positive real numbers. Have to show all work.
Answer:
a. [tex]-( 4\sqrt{3} + 3)[/tex]
b. [tex]x^{\frac{-5}{12}} y^{\frac{31}{24}}[/tex]
c. [tex]\frac{8\sqrt{x} + 8\sqrt{5}}{x - 5}[/tex]
d. [tex]45 + 12\sqrt{5y} + 4 y[/tex]
e. [tex]-(\frac{3}{5x})^{\frac{1}{2}}[/tex]
Step-by-step explanation:
a.
[tex]\sqrt{12} - \sqrt{108} - \sqrt[3]{27}[/tex]
Expand each expression
[tex]\sqrt{4*3} - \sqrt{36 * 3} - \sqrt[3]{3*3*3}[/tex]
Split the first two surds
[tex]\sqrt{4}*\sqrt{3} - \sqrt{36} * \sqrt{3} - \sqrt[3]{3*3*3}[/tex]
[tex]2*\sqrt{3} - 6 * \sqrt{3} - \sqrt[3]{3*3*3}[/tex]
Apply law of indices
[tex]2*\sqrt{3} - 6 * \sqrt{3} - \sqrt[3]{3^3}[/tex]
Apply law of indices
[tex]2*\sqrt{3} - 6 * \sqrt{3} - 3^{3*\frac{1}{3}}[/tex]
[tex]2*\sqrt{3} - 6 * \sqrt{3} - 3^{1}[/tex]
[tex]2*\sqrt{3} - 6 * \sqrt{3} - 3[/tex]
[tex]2\sqrt{3} - 6\sqrt{3} - 3[/tex]
[tex]- 4\sqrt{3} - 3[/tex]
Factorize
[tex]-( 4\sqrt{3} + 3)[/tex]
The expression cannot be further simplified
b.
[tex](\frac{x^{\frac{-3}{4}}y^{\frac{2}{3}}}{x^{\frac{-1}{3}}y^{\frac{-5}{8}}})[/tex]
Expand the expression
[tex](\frac{x^{\frac{-3}{4}} * y^{\frac{2}{3}}}{x^{\frac{-1}{3}} * y^{\frac{-5}{8}}})[/tex]
Apply the following law of indices;
[tex]\frac{a^m}{a^n} = a^{m-n}[/tex]
[tex]x^{{\frac{-3}{4} - \frac{-1}{3}}} * y^{{\frac{2}{3} - \frac{-5}{8}}}}[/tex]
[tex]x^{{\frac{-3}{4} + \frac{1}{3}}} * y^{{\frac{2}{3} + \frac{5}{8}}}}[/tex]
Add the exponents
[tex]x^{\frac{-9+4}{12}} * y^{{\frac{16+15}{24}}}}[/tex]
[tex]x^{\frac{-5}{12}} * y^{{\frac{31}{24}}}}[/tex]
[tex]x^{\frac{-5}{12}} y^{\frac{31}{24}}[/tex]
The expression cannot be further simplified
c.
[tex]\frac{8}{\sqrt{x} - \sqrt{5}}[/tex]
Rationalize the denominator
[tex]\frac{8}{\sqrt{x} - \sqrt{5}} * \frac{\sqrt{x} + \sqrt{5}}{\sqrt{x} + \sqrt{5}}[/tex]
[tex]\frac{8(\sqrt{x} + \sqrt{5})}{(\sqrt{x} - \sqrt{5})(\sqrt{x} + \sqrt{5})}[/tex]
Simplify the numerator
[tex]\frac{8\sqrt{x} + 8\sqrt{5}}{(\sqrt{x} - \sqrt{5})(\sqrt{x} + \sqrt{5})}[/tex]
Simplify the denominator by difference of two squares
[tex]\frac{8\sqrt{x} + 8\sqrt{5}}{\sqrt{x}^2 - \sqrt{5}^2}[/tex]
[tex]\frac{8\sqrt{x} + 8\sqrt{5}}{x - 5}[/tex]
The expression cannot be further simplified
d.
[tex](3\sqrt{5} + 2\sqrt{y})^2[/tex]
Expand the expression
[tex](3\sqrt{5} + 2\sqrt{y})(3\sqrt{5} + 2\sqrt{y})[/tex]
Open the bracket
[tex]3\sqrt{5} (3\sqrt{5} + 2\sqrt{y})+ 2\sqrt{y}(3\sqrt{5} + 2\sqrt{y})[/tex]
Open both brackets
[tex]3\sqrt{5} *3\sqrt{5} + 3\sqrt{5}*2\sqrt{y}+ 2\sqrt{y}*3\sqrt{5} + 2\sqrt{y}*2\sqrt{y}[/tex]
[tex](3\sqrt{5} *3\sqrt{5}) + (3\sqrt{5}*2\sqrt{y})+ (2\sqrt{y}*3\sqrt{5}) + (2\sqrt{y}*2\sqrt{y})[/tex]
Multiply each expression in the bracket
[tex](3*3\sqrt{5*5}) + (3*2\sqrt{5*y})+ (2*3\sqrt{5*y}) + (2*2\sqrt{y*y})[/tex]
[tex](9\sqrt{25}) + (6\sqrt{5y})+ (6\sqrt{5y}) + (4\sqrt{y^2})[/tex]
Solve like terms
[tex](9\sqrt{25}) + (12\sqrt{5y}) + (4\sqrt{y^2})[/tex]
Take square root of 25 and y²
[tex](9 * 5) + (12\sqrt{5y}) + (4 * y)[/tex]
[tex](45) + (12\sqrt{5y}) + (4 y)[/tex]
Remove the brackets
[tex]45 + 12\sqrt{5y} + 4 y[/tex]
The expression cannot be further simplified
e.
[tex]-\sqrt{\frac{3}{5x}}[/tex]
This expression can not be simplified; However, it can be rewritten, by applying law of indices as
[tex]-(\frac{3}{5x})^{\frac{1}{2}}[/tex]
im badd i kinda understand but not really understanding it
Answer:
40
Step-by-step explanation:
if you add all the numbers up it becomes 96 and 96 goes Into. 480 5 times so you multiply 5 times the number of giant swallow tails
Answer:
If they are proportional we can expect 40
lol iready
ASAP!!! ON A TIME LIMIT!!!
Which expression is equivalent to 10k+17-7j-18-11k
-8jk-1
-7j-k-1
-7j+k+1
-8j-k
Answer:
-7j-k-1
Step-by-step explanation:
10k + 17 - 7j -18 -11k
10k-11k
-1k
17-18
-1
-7j-k-1
Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hundreds of cubic feet, HCF).
When graphed, the function gives a line with a slope of 1.55. See the figure below.
If the monthly cost for 15 HCF is $47.84, what is the monthly cost for 9 HCF?
Answer:
The monthly cost for 9 HCF is $38.54
Step-by-step explanation:
The graph is missing; however, the question can still be solved
Given
Slope = 1.55
When monthly cost = $47.84, Amount of water = 15 HCF
Required
Determine the monthly cost for 9 HCF
From the question, we understand that it is a linear function;
Linear functions are of the form
[tex]y = mx + b[/tex]
Where y is the function of x and m is the slope
In this case; the function is the monthly water bill
and x is the amount of water
Solving for b
When monthly cost = $47.84, Amount of water = 15 HCF
The function is as follows;
[tex]47.84 = 1.55 * 15 + b[/tex]
[tex]47.84 = 23.25 + b[/tex]
Subtract 23.25 from both sides
[tex]47.84 - 23.25= 23.25 - 23.25 + b[/tex]
[tex]24.59 = b[/tex]
[tex]b = 24.59[/tex]
Solving for the monthly cost for 9 HCF
Here, we have that
[tex]x = Amount\ of\ water = 9[/tex]
[tex]m = Slope = 1.55[/tex]
[tex]b = 24.59[/tex]
Substitute these values in the linear function; [tex]y = mx + b[/tex]
[tex]y = 1.55 * 9 + 24.59[/tex]
[tex]y = 13.95 + 24.59[/tex]
[tex]y = 38.54[/tex]
Hence, the monthly cost for 9 HCF is $38.54
Point P has coordinates P(-2, 4). What are the coordinates of the image P'' after I translate point P: 4 units to the right 2 units down and then 1 unit to the left and 5 up? 1. The x-coordinate of P'' is: 2.The y-coordinate of P'' is:
Answer:
P''(1, 7)
Step-by-step explanation:
4 units right and 1 left will add a net of +3 to the x-coordinate.
2 down and 5 up will add a net of +3 to the y-coordinate.
The coordinates of P with 3 added to each are ...
P'' = P(-2, 4) +(3, 3) = P''(1, 7)
Hi I really need help on this problem. Thank you!
Answer:
9
Step-by-step explanation:
because the angle is 45 deg, it is 1/8 of the full circle
the arc it intercepts will also be 1/8 the circumference of the full circle
72*1/8=9
David performed the following mathematical operation:
3x+4
x-1)3x +x-4
He was left with a remainder of zero. Which of the following statements must
be true?
Answer:
B. 1 must be a root of the polynomial 3x^2+x-4
Step-by-step explanation:
Given polynomial
3x^2+x-4
Divided by factor x-1
Gives a remainder of 0
Remainder 0 represents that divisor (x-1) is a factor polynomial 3x^2+x-4
If x-1 is a factor of the polynomial, we can equate x-1 to 0
x-1=0
Solve for x to get one of the roots
x-1=0
Add 1 to both sides
x-1+1=0+1
x=1
B. 1 must be a root of the polynomial 3x^2+x-4
In circle C, what is mArc F H?
Answer:f
Step-by-step explanation:
Answer: 31 degrees
Step-by-step explanation:
The elevation of New Orleans, Louisiana, is -6 feet. Which of the following best describes -6 feet? A. 6 feet below sea level B. 3 feet below sea level C. 3 feet above sea level D. 6 feet above sea level
Answer:
Hey there!
-6 ft is 6 ft below sea level.
Hope this helps :)
Consider the trapezoid with given dimensions. Suppose it is dilated by a scale factor of
1
4
.
A trapezoid with bases of 18 feet and 12 feet, height of 4 feet, and side length of 5 feet.
What statements are true? Check all that apply.
The height of the new trapezoid will be 1 ft.
The height of the new trapezoid will be 16 ft.
The area of the new trapezoid is One-fourth times the area of the original trapezoid.
The area of the new trapezoid is StartFraction 1 Over 16 EndFraction times the area of the original trapezoid.
The area of the new trapezoid is 4 times the area of the original trapezoid.
Answer: 1 & 4
Step-by-step explanation:
Just did it
Answer:
A.The height of the new trapezoid will be 1 ft.
D.The area of the new trapezoid is StartFraction 1 Over 16 EndFraction times the area of the original trapezoid.
Step-by-step explanation:
edg2020
Mr. Weaver invested part of his $6000 inheritance in an account that earns 4%
simple interest and the other part in an account that earns 7% simple interest.
How much did he invest in each account if the two accounts earned $360 after
the first year?
Answer:
Mr. Weaver invested $ 2,000 in the 4% simple interest account and $ 4,000 in the 7% simple interest account.
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Amount of the inheritance = $ 6,000
Interest rate of the first part = 4% simple
Interest rate of the second part = 7% simple
Interest of the accounts after the first year = $ 360
2. How much did he invest in each account?
For answering the question, we will use the following equation:
x = Amount invested in the first account
6,000 - x = Amount invested in the second account
0.04x + 0.07 * (6,000 - x) = 360
0.04x + 420 - 0.07x = 360
-0.03x = 360 - 420 (Subtracting 420 at both sides)
-0.03x = -60
x = -60/-0.03
x = 2,000 ⇒ 6,000 - x = 4,000
Mr. Weaver invested $ 2,000 in the 4% simple interest account and $ 4,000 in the 7% simple interest account.
Alice is building a caterpillar habitat for some caterpillars she found in her back yard. She plans to cover all sides of the habitat with screen so the caterpillars get plenty of fresh air. What is the total amount of screen that Alice will need for her habitat?
Answer:
perimeter of a cuboid is 4(L+B+H).
so, L=1m, B=0.4m,H=0.8m
substituting by formula,
4(1+0.4+0.8)
= 4(2.2)
=8.8
AMOUNT OF SCREEN THAT ALICE REQUIRES FOR HER HABITAT IS 8.8m
Step-by-step explanation:
HOPE IT HELPS. PLEASE MARK IT AS BRAINLIEST
Answer:
3.04 m^2
Step-by-step explanation:
How can you tell the difference between systems with no solution and infinite solutions?
Answer:
The given system of equations has "No solution” means that the constants are the numbers without variables. If the coefficients are the equal on both sides then their constants will not equal,they did not satisfy the given equations and therefore it said to have no solution
The given system of equations has "infinitely many solutions" if the given linear system of equations has both the equations represents to the same line.
Step-by-step explanation:
No solution would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable. Infinite solutions would mean that any value for the variable would make the equation true.
Two ants, Andy and Ashley, went to visit their friend. Andy crawled the whole way, but Ashley spent half of the way riding on a caterpillar, which was two times slower than crawling. Ashley spent the second half of the journey riding on a grasshopper, which was 5 times faster than crawling. Which ant got to their friend's house first, if they left at the same time?
Answer:
Andy
Step-by-step explanation:
Let's say that x is Andy's speed, and d is the distance he traveled.
The time it takes Andy to reach his friend is d/x.
The time it takes Ashley to travel the first half is (d/2)/(x/2) = d/x.
The time it takes Ashley to travel the second half is (d/2)/(5x) = d/(10x).
The total time is d/x + d/(10x) = 1.1 d/x.
It takes Ashley 1.1 times longer to reach the friend. Andy gets there first.
What is the value of the 35th term in the sequence -15, -11, -7, ...? 121 125 151 374
Answer:
121
Step-by-step explanation:
This is an arithmetic sequence.
First term a = -15
Common difference [d] = second term - first term
= -11 - [-15] = -11 + 15 = 4
nth term = a + (n-1) * d
35th term = -15 + (35 - 1) * 4
= -15 + 34 * 4
= - 15 + 136
= 121
Answer:
121 and 257
Step-by-step explanation:
So we would have our equation for arithmetic sequences which is [tex]a_{n} =a_{1} +(n-1)d[/tex] a1 is the first term, n is the term we want to know, and d is the common difference. We would plug in the numbers into the equation so we would get [tex]a_{n} =-15+(35-1)4[/tex]. And if you simplify you would get [tex]a_{n} =121[/tex].
Than for the other one we would do the same thing so you would get [tex]a_{n} = 121+(35-1)4[/tex] and if you simplify you would get [tex]a_{n} =257[/tex].
Mikel has a chance to win a trip on a TV game show. All he has to do is win the "Shopping Game". In this game, Mikel is shown six grocery store items without being shown the prices. He must buy multiples of items until he has a total between $20 and $21 inclusive. If he doesn’t reach $20 with his first item, he continues buying items and adding to his total, until he either wins by getting an amount between $20 and $21, or he loses by going over $21 or by buying all items and being less than $20. First, Mikel buys six bottles of shampoo.
Write a compound inequality
Answer: $20 <= X < = $21
Step-by-step explanation:
According to the question, you are told that he loses by going over $21 or by buying all items and being less than $20.
That means the total amount of the items bought must be equal to 20 dollars or 21 dollars or be within the two amount of money.
If Mikel buys six bottles of shampoo, let x represent the total amount for the six bottles of shampoo. Then, the compound inequalities for this expression will be x less than or equal to 21 dollars and x greater than or equal to 20 dollars. That is,
$20 <= X < = $21
Lewis needed to find the difference in lengths between the hypotenuse and the longest leg of this triangle. His work is shown below.
What errors did Lewis make? Check all that apply.
He simplified incorrectly. It should be 20 instead of 200.
He found the difference between the hypotenuse and the short leg instead of the long leg.
He evaluated incorrectly. It should be .
He evaluated incorrectly. It should be .
He should not have taken the square root of each side to get rid of the exponent.
*see the attachment below showing Lewis' work
Answer:
*He simplified √400 incorrectly. It should be 20 instead of 200.
*He found the difference between the hypotenuse and the short leg instead of the long leg
Step-by-step explanation:
=>Going through the work of Lewis, you'd observe that in the 5th line where Lewis was supposed to simplify √400, he made a mistake by writing 200 instead of 20. The square root of 400 is 20 not 200.
=>Also, the length of the longest leg of the right angled triangle that Lewis is supposed to subtract from the length of the hypothenuse is 16 NOT 12.
The difference between the length of the hypothenuse and the length of the longest Leg = 20 - 16 = 4
Answer: A & B homies...
person up top is correct also...
Step-by-step explanation: on edg 2020
I dont understand how they got that awnser
Answer:
its quite simple...
the formula to find volume= width x height x length ( or area x length)
Step-by-step explanation:
of A
width =5 cm height= 9cmof B
width= 3height= 2length of whole prism= 4
Volume (A)= w x h x l
= 5 x 9 x 4
= 180 cm³
volume (B)= w x h x l
= 3 x 2 x 4
= 24 cm³
add both values to get the volume of whole prism = 180 + 24
= 204 cm³
Roman buys seed packets for the school garden. One packet of radish seeds costs $1.75. One packet of tomato seeds costs $2.50. Let r represent the number of radish seeds and let t represent the number of tomato seeds. Roman spent $62.75 on 32 packets of seeds. How many packets of each type of seeds did Roman buy? Use the table to guess and check. 8 tomato and 24 radish 9 tomato and 23 radish 23 tomato and 9 radish 24 tomato and 8 radish
Answer:
9 tomato and 23 radish
Step-by-step explanation:
r - number of radish seeds
t - number of tomato seeds
$1.75r + $2.50t = $62.75
1.75 (23) + 2.50 (9) = 62.75
40.25 + 22.5 = 62.75
$62.75 = $62.75
The answer checks out. Therefore, Roman bought 9 packets of tomato seeds and 23 packets of radish seeds.
Hope that helps.
Answer:
9 tomato and 23 radish
Step-by-step explanation:
how do you solve this question?
Answer:
[tex]\large \boxed{\sf \ \ \ 2x-ln(1-x) \ \ \ }[/tex]
Step-by-step explanation:
Hello,
for any real x different from 1
[tex]\dfrac{3-2x}{1-x}=\dfrac{2-2x+1}{1-x}\\\\=\dfrac{2(1-x)+1}{1-x}\\\\=2\dfrac{1-x}{1-x}+\dfrac{1}{1-x}\\\\=2+\dfrac{1}{1-x}[/tex]
if f(x)=2x
f'(x)=2
if g(x)=-ln(1-x)
[tex]g'(x)=\dfrac{-1*-1}{1-x}=\dfrac{1}{1-x}[/tex]
So antiderivative of
[tex]\dfrac{3-2x}{1-x}=2+\dfrac{1}{1-x}[/tex]
Is
2x-ln(1-x)
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
a. Find the measure of angle A. b. Find the measure of angle CBD. c. Find the measure of AD. d. Find the measure of BC. e. Find the measure of CD. f. Find the measure of BD. Round all answers to two decimal places. please type/ explain work !
Answer:
a. m<A = 35°
b. m<CBD = 61°
c. m AD is sin55 = AD/40 AD = 32.77
d. m BC is sin 29 = 22.94/BC BC = 47.32
e. m CD is tan 29 = 22.94/CD CD = 41.38
f. m BD is cos 55 = BD/40 BD = 22.94
Step-by-step explanation:
The solution is,
a. m<A = 35°
b. m<CBD = 61°
c. m AD is sin55 = AD/40 AD = 32.77
d. m BC is sin 29 = 22.94/BC BC = 47.32
e. m CD is tan 29 = 22.94/CD CD = 41.38
f. m BD is cos 55 = BD/40 BD = 22.94
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
from the given figure, we get,
a) ∠D = 90
i.e. ∠A= 90 - 55 = 35
b) similarly,
∠CBD = 90-29
=61
c) m AD is sin55 = AD/40
i.e. AD = 32.77
d) m BC is sin 29 = 22.94/BC
i.e. BC = 47.32
e) m CD is tan 29 = 22.94/CD
i.e. CD = 41.38
f) m BD is cos 55 = BD/40
i.e. BD = 22.94
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Find an equation of the line: through the points (4,2) and (3,1). PLEASAE HELP I ONLY HAVE 20 MINS LEFT
Answer:
y=x+-2
Step-by-step explanation:
Slope intercept form is y=mx+b
I plugged in the slope for m and y-intercept for b
sorry i did this real fast because it sounded urgent :)
PLEASE HELP!! 20 POINTS
Answer:
5/12
Step-by-step explanation:
take the number of students who read under6 books (5) and divide by total amount of students (12)
5/12
Answer:
5/12
Step-by-step explanation:
there are a total of 12 books read and a frequency of 5 books read that is fewer than 6 books
pls i need help 15 points!!!!! The treehouse will be 8 feet off the ground. Peter will hang a rope, with knots tied for footholds. Each knot uses an additional 2 inches of rope. Write an expression for the length of the rope needed if Peter ties n knots and wants the rope to touch the ground. How many inches of rope are needed if there are 8 knots? Explain.
Answer:
Step-by-step explanation:
First, we can figure out how many additional inches of rope are needed. If there are 8 knots, 16 additional inches will be needed. Peter would need 9 feet 4 inches of rope, or 112 inches.
The formula for finding the length of the rope needed would be 8+2n.
Hope this helps!
Answer:
112 inches
Step-by-step explanation:
Each knot needs 2 inches of rope
There are 2 knots
2*8 = 16 inches
He wants 8 ft from the ground, but he wants it in inches
8 ft* 12 inches per foot = 96 inches for the rope
96+ 16 =112 inches of rope
What is the length of the transverse axis of the conic section shown below?
(y+2)^2/25 - (x-3)^2/4=1
Answer:
Length of transverse axis = 2 b = 10
Length of conjugate axis = 2 a = 4
Step-by-step explanation:
Explanation:-
Given Hyperbola
[tex]\frac{(y+2)^{2} }{25} -\frac{(x-3)^{2} }{4} =1[/tex]
Standard form of Hyperbola
[tex]\frac{(y-(K))^{2} }{b^{2} } -\frac{(x-h)^{2} }{a^{2} } =1[/tex]
Center (h , k ) = (3 , -2 ) , a = 2 and b = 5
Length of transverse axis = 2 b = 2(5) = 10
Length of conjugate axis = 2 a = 2 (2) = 4