Answer:
10.5 in
Step-by-step explanation:
Given
[tex]tan(55) = \frac{15}{b}[/tex]
Required
Find length AC
The question is not detailed enough; so, I'll assume that b represents line AC.
Having said that;
We start by multiplying both sides by b
[tex]tan(55) = \frac{15}{b}[/tex]
[tex]b * tan(55) = \frac{15}{b} * b[/tex]
[tex]b * tan(55) =15[/tex]
Divide both sides by tan(55)
[tex]\frac{b * tan(55)}{tan(55)} = \frac{15}{tan(55)}[/tex]
[tex]b = \frac{15}{tan(55)}[/tex]
Find tan(55)
[tex]b = \frac{15}{1.42814800674}[/tex]
[tex]b = 10.5031130731[/tex]
[tex]b = 10.5[/tex] (Approximated)
Length AC is 10.5
Answer:
C
Step-by-step explanation:
ed2020
Randy Johnson was a baseball pitcher for the Arizona Diamondbacks during the 2002 season. He had a record of 24 wins and 5 losses at the end of the regular season. To find his Won‐Loss percentage, divide the number of games won by the total number of decisions (games he either won or lost). What was Randy Johnson’s Won‐Loss percentage for the 2002 regular season?
Answer:
The won percentage is 24 / 29 ≈ 83% (24 + 5 = 29 games total) and the loss percentage is 5 / 29 ≈ 17%.
Please help ill reward brainliest
Answer:
Step-by-step explanation:
the 2 lines meet at the point 2... which means 2 is the solution for the equations....
hence x=2, y=0
(2,0) is the required pair of coordinates
hope it helps!!!
A rectangular wall has length 3 less than 4 times the width . I wish to put a silver line along the corners of the wall. The lining costs 25 cents per foot and I spent a total of $18.50 for the lining on the corners of the wall. If painting costs 20 cents per square foot , how much dose it cost to paint the wall? PLEASE ANSWER correctly. I WILL GIVE BRAINLIEST ANSWER TO U IF U DO
Answer:
Step-by-step explanation:
Let width = w units
Length = 4w - 3
Cost for lining corners of wall = $ 18.50
Perimeter of the wall = 18.50/0.25 = 74 ft
2*(length +width ) = 74
2*(4w - 3 + w) =74
2*(5w - 3) =74
10w - 6 = 74 {Add 6 to both sides}
10w - 6 + 6 = 74 + 6
10w = 80
Divide both sides by 10
10w/10 = 80/10
w = 8 ft
Length = 4w - 3 = 4*8 - 3 = 32 - 3
Length = 29 ft
Area of the wall = length * width
= 29 * 8
= 232 square ft
Cost of painting the wall per square feet = 20 cents = 0.20
Cost of painting 232 square feet = 232 * 0.20
= $ 46.40
Sketch graph y=-4x+4
Answer:
I hope this helps you! Have a great rest of your day.
I'm confused can somebody help me ASAP?!?!??!?!
Answer:
part 2 it should be 20 minutes
Step-by-step explanation:
40 = 8 add another 40= 16 half of 40 is 20 so half of 8 is 4 so add 8+8+4
that equals 20
part 1 even d on't understand
1. Which of the following figures is not a polygon?
Answer:
the cricle is not a polygon since it does not have any sides and a polygon has to have striaght sides
Step-by-step explanation:
Answer:b
Step-by-step explanation:
Help please, Mathematics! If there's a formula include that too, please
Answer:
24 Combinations Total
Step-by-step explanation:
METHOD 1 (no advanced math skills needed)
i. Number the friends: a, b, c, and d
ii. List all possible combinations...
a b c da b d ca c b d a c d ba d b ca d c bb a c db a d cb c a db c d ab d a cb d c ac a b dc a d bc b a dc b d ac d a bc d b ad a b cd a c bd b a cd b c ad c a bd c b aTo speed up the process instead of sitting here and listing 24 combinations, after two sections you can see that with friend "a" sitting all the way at the left there are six combinations and the same goes for friend "b". You can then multiply 6 (number of combinations with that friend first) and 4 (friends) to get 24.
METHOD 2
n! means the total number for permutations calculation (1 x 2 x ... until you reach n ) = 24
PLS give answer ASAP
Answer: 3.5 pi.
Step-by-step explanation: Since we know the circumference formula of a circle is 2*pi*radius, we just have to substitute 7 in there, and divide by 4. So here ya go, 3.5 pi.
Find the number of 4-digit numbers that contain exactly two even and two odd digits.
Answer:
2,435
Step-by-step explanation:
find two even and two odd
What is the ratio of 76,000 and 100,000
Answer:
19 : 25
Step-by-step explanation:
An apartment building contains 100 units.The one-bedroom units rent for $495 per month and the two bedroom units rent for $600 per month.When all are rented out,the total monthly rent paid by the tenants is $55,275.How many two-bedroom apartments are there
A.45
B.55
C.50
D.66
There are 55 two-bedroom units in the apartment.
Let x represent the number of one bedroom units and y represent the number of two bedroom units.
Since the apartment building contains 100 units, hence:
x + y = 100 (1)
The total monthly rent paid by the tenants is $55,275, hence:
495x + 600y = 55275 (2)
Solving equation 1 and 2 simultaneously gives:
x = 45, y = 55
Hence, there are 55 two-bedroom units in the apartment.
Find out more at: https://brainly.com/question/16763389
Write the recurring decimal 0.256 as a fraction in its simplest form
Answer:
[tex]\frac{256}{999}[/tex]
Step-by-step explanation:
0.256256256...
Set up two equations:
x = .256256...
1000x = 256.256256...
Subtract them:
1000x = 256.256256... - x = .256256... =
999x = 256
Solve for x:
999x = 256
x = 256/999
The recurring decimal 0.256 as a fraction in its simplest form is [tex]256 \div 999[/tex]
The calculation is as follows:x = .256256...
1000x = 256.256256...
Subtract them:
1000x = 256.256256... - x = .256256
999x = 256
So
Here x be the 256 by 999
Learn more: brainly.com/question/16911495
Please help me! I think this 20 character thing is unnecessary when you have an attachment
Answer:
B
Step-by-step explanation:
Also the answer must be under 9 so that rules out option D
Because We know CE = 2 and AD is visibly larger than CE, 6We can rule out option A
And that brings us down to B and C
CB is equal to 6, And I'm no genius, but I'm pretty sure AD is DEFINATLY not equal to 6.
so the answer is B
How to solve which number completes the square of the expression belo? 2x^2-3x+ 1. 9/8 2. 9 3. -9/2 4. 9/16
Answer: 1. [tex]\dfrac{9}{8}[/tex] .
Step-by-step explanation:
The given expression [tex]2x^2-3x+1[/tex]
Using completing the square method.
First, we divide the entire expression by 2 and write in the form of [tex]x^2+bx=c[/tex] , we get
[tex]x^2-\dfrac{3}{2}x+\dfrac{1}{2}[/tex]
Such that [tex]b=\dfrac{3}{2}\ \ \ , c=\dfrac{1}{2}[/tex]
Now add and subtract [tex](\dfrac{b}{2})^2[/tex] on both sides.
[tex](\dfrac{b}{2})^2=(\dfrac{\dfrac{3}{2}}{2})^2\\\\=(\dfrac{3}{2\times2})^2\\\\=(\dfrac{3^2}{4^2})\\\\=\dfrac{9}{8}[/tex]
Here, we add and subtract [tex]\dfrac{9}{8}[/tex] .
Hence, the correct answer is 1. [tex]\dfrac{9}{8}[/tex] .
Which ordered pairs are solutions to the inequality –2x+y>-4?
Select each correct answer.
(3, -1)
0 (-1, 1)
(0, -5)
(1, - 2)
0 (0,1)
Answer:
answer is (0,1)
Step-by-step explanation:
check
by substituting x=0 and y=1 in the equation above
- 2(0)+1> -4
1> -4
Thereby (0,1) is the required solution to the inequality
PLEASE HELP Order these numbers from least to greatest. 2 1/10, 61/10, 3.122, 3.19
Answer: 2 1/10, 3.122, 3.19, 61/10
Step-by-step explanation:
Let's first turn each number into decimal form: (1/10=.1, 2/10=.2,etc.)
2.1, 6.1, 3.122, 3.19. Obviously, the smallest number is 2.1, because it has a 2 in the ones place. Next, we see a tie in the ones place between 3.122 and 3.19. Then we look at the tenths place and see another tie. Then, at the hundredths place, we see that 3.19 is greater that 3.122. Thus, the order of the numbers is 2.1,3.122,3.19,6.1.
Hope it helps <3
A department store stocks pants and shorts in the colors black and blue. The relative frequency of their orders for blue pants is half the relative frequency of their orders for black shorts. Which two-way frequency table could represent the data from the store's orders?
Answer:
Table 2
Step-by-step explanation:
The question is to identify the table where the relative frequency of orders for blue pants is half the relative frequency of their orders for black shorts.
We are interested in the number of blue pants and black shorts.
If we name them as p and b respectively, then we are looking for a table where s/p=2
Let's verify relevant data in all tables:
Table 1:
p= 82, s= 41 ⇒ s/p= 41/82 ≠ 2, no, not this oneTable 2:
p= 57, s= 114 ⇒ s/p= 114/57 = 2, yes, it is the oneTable 3:
p= 78, s= 110 ⇒ s/p= 110/78 ≠ 2, no, not this oneTable 4:
p= 44, s= 150 ⇒ s/p= 150/44 ≠ 2, no, not this oneSo only one of tables- the second one from top represents the required data.
Answer:
The second table
Step-by-step explanation:
I did the test.
can you maybe answer these questions ?
Answer:
27. 4x + 44 (D)
28. 17.5 in (A)
29. 189 cm² (C)
Step-by-step explanation:
27. 4 (2x + 11 - x) → 4 (x + 11) → 4x + 44
28. 369.25 ÷ 42.2 = 8.75 → 8.75 × 2 = 17.5 in
29. 21 × 9 = 189 cm²
Hope this helps! :)
Answer:
27.D
28.A
29.C
Step-by-step explanation:
27. 8x+44-4x= 4x+44 D
28. (369.25*2)/42.2=17.5 A
29. 9*21=189 cm^2 C
From the equation, find the axis of symmetry of the parabola.
y = 4x+ 32x+ 61
a. x= 3
x=-4
C.
b. X= 4
d. X=-3
I need help asap for this question
Answer:
B. 12 and 16Step-by-step explanation:
Well since AB/DE = 3/4 and AB/DE = BC/EF, then BC/EF must also be 3/4.
We now only need to find a fraction that simplifies to 3/4.
8/12 = 2/3 [tex]\neq[/tex] 3/4
12/16 = 3/4 ✅
4/6 = 2/3 [tex]\neq[/tex] 3/4
6/9 = 2/3 [tex]\neq[/tex] 3/4
This means that the correct answer is B. 12 and 16.
I'm always happy to help :)Answer:
B. 12 and 16
Step-by-step explanation:
How do you do this [tex]||x-3|-2| ≤1[/tex]
Can someone please help with this maths
Hey there! :)
Answer:
C. (0, 5)
Step-by-step explanation:
Where the equation crosses the y axis is known as the y-intercept.
In the equation y = mx + b, the b value represents the y-intercept where x = 0. Therefore:
Rearrange the equation pictured:
y = 5 - 3x --> y = -3x + 5
The b value in this equation is 5, so
The y-intercept of this equation is (0, 5).
Answer:
(0,5)Option C is the correct option.
Here,
y=5-3xWhen X=0
y= 5-3*0
= 5-0
=5
x=0
y=5
Hope this helps...
Good luck on your assignment..
* DIFFICULT QUESTION , PLS ANSWER * Write an equation for the circle whose graph is shown.
Answer:
D
Step-by-step explanation:
The formula of a circle is [tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex] where the vertex is (h,k).
The vertex is (4,-2) and the radius is 5, so substitute the numbers in and you get the solution.
Answer:
D
Step-by-step explanation:
SOMEONE PLEASE HELP ME ASAP PLEASE!!
Answer:
-2
Step-by-step explanation:
The product of the slope of perpendicular lines= -1.
Slope of given line= ½,
since the equation is in the form of y=mx +c, where m is the slope of the line.
½(slope of line)= -1
slope of line
= -1 ÷½
= -1 ×2
= -2
Answer:
Step-by-step explanation:
Slope of perpendicular line = -1
y = (1/2)x + 5
Slope [tex]m_{1}\\[/tex] = 1/2
[tex]m_{1}*m_{2}=-1\\\\\frac{1}{2}*m_{2}=-1\\\\m_{2} = -1*\frac{2}{1}\\\\ m_{2}= -2[/tex]
y = -2x + 7
What is the equation of the following graph in vertex form? parabolic function going down from the left through the point zero comma five and turning at the point two comma one and contin Courtesy of Texas Instruments (2 points) y = (x - 2)2 + 1 y = (x - 1)2 + 2 y = (x + 2)2 + 1 y = (x + 2)2-1
Answer:
y = (x - 2)² + 1
Step-by-step explanation:
Gnerela equation of a parabola in vertex form:
y = a(x - h)² + k
where (h, k) is the vertex
From the description of the graph:
the parabola passes through (0,5)the parabola has a vertex at (2,1)Replacing into the general equation:
y = a(x - 2)² + 1
5 = a(0 - 2)² + 1
5 - 1 = a*4
4/4 = a
1 = a
Then, the equation is: y = (x - 2)² + 1
Answer:
The correct answer is A, "y = (x - 2)² + 1"
Step-by-step explanation:
I just completed the test and got full credit using this option.
Find the area of a circle with a diameter of 12 inches. Use 3.14 for pi
Answer:
A =113.04 in ^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
The radius is 1/2 of the diameter
r = 1/2 (12) = 6
A = pi (6)^2
A = 36 pi
Using 3.14 for pi
A = 36 (3.14)
A =113.04 in ^2
PLS HELPPPP MEEEE!!!
Answer:
No
Step-by-step explanation:
We have to check if 3/5 = 6/25. If we convert 3/5 into a fraction with denominator of 25 so that we can compare the two we get 15/25 and this is clearly not equal to 6/25. Therefore, the answer is no.
How are rational functions similar to linear, quadratic, or exponential functions? How are they different? When are these similarities or differences important when looking for intersections between rational functions and other types of functions? Be sure to cite examples as you explain your ideas.
Answer:
See explanation below for further details.
Step-by-step explanation:
A rational consist of two real numbers such that:
[tex]\frac{a}{b} =c[/tex]
If c is a polynomial with a certain grade, then, both the numerator and the denominator must be also polynomials and the grade of the numerator must be greater than denominator.
If c is linear function, that is, a first order polynomial, then a must be a (n+1)-th polynomial and b must be a n-th polynomial.
Example:
If [tex]a = x^{2}[/tex] and [tex]b = x[/tex], then:
[tex]c = \frac{x^{2}}{x}[/tex]
[tex]c = x[/tex]
If c is a quadratic function, that is, a second order polynomial, then a must be a (n+1)-th polynomial and b must be a n-th polynomial.
Example
If [tex]a = 3\cdot x^{3}[/tex] and [tex]b = x[/tex], then:
[tex]c = \frac{3\cdot x^{3}}{x}[/tex]
[tex]c = 3\cdot x^{2}[/tex]
But if c is an exponential, both the numerator and the denominator must be therefore exponential function and grade of each exponential function must different to the other.
Example
If [tex]a = 10^{2x}[/tex] and [tex]b = 3\cdot 10^x[/tex], then:
[tex]c = \frac{10^{2\cdot x}}{3\cdot 10^{x}}[/tex]
[tex]c = \frac{1}{3}\cdot 10^{2\cdot x -x}[/tex]
[tex]c = \frac{1}{3}\cdot 10^x[/tex]
Otherwise, c would be equal to a constant function, that is, a polynomial with a grade 0.
If [tex]a = 5\cdot e^{x}[/tex] and [tex]b = -3\cdot e^{x}[/tex], then:
Example
[tex]c = \frac{5\cdot e^{x}}{-3\cdot e^{x}}[/tex]
[tex]c = -\frac{5}{3}[/tex]
It is worth to add that exponential functions can be a linear combination of single exponential function, similar to polynomials.
Example
[tex]5\cdot a^2\cdot x -9[/tex]
Solve: 20/x=2 a. x = 40 c. x = 20 b. x = 10 d. x = 15 Please select the best answer from the choices provided A B
Answer:
B. x=10
Step-by-step explanation:
We are given the equation:
20/x=2
To solve this, we must get x by itself. First, let's cross multiply.
20/x= 2/1
Multiply the denominator of the first fraction by the numerator of the second. Then, multiply the numerator of the first and the denominator of the second.
x*2= 20*1
2x=20
x is being multiplied by 2. The inverse of multiplication is division. So, divide both sides of the equation by 2.
2x/2 = 20/2
x= 20/2
x=10
Therefore, the answer is B. x=10
I will give brainliest to simplest explanation! There are 2 Senators from each of 50 states. We wish to make a 3-Senator committee in which no two members are from the same state. How many ways can the 3-Senator committee be formed such that no two Senators are from the same state?
Answer:
117,600 ways
Step-by-step explanation:
This problem can be solved using fundamental principle of counting , according to which , if there are m different things and n different things,
then there m*n ways to combine.
Example: if there 5 shirts and 3 ties,
then number of ways in which different combination shirt and tie can be worn is
5*3 = 15 ways.
____________________________________
In the problem,\
number of states is 50,
let those states be
A1, A2, A3, A4 ......A50
in each state there are 2 senate
Condition
3-Senator committee in which no two members are from the same state.
then
first member can be chosen from any of the 50 state,
hence first member can be chosen in 50 ways
for simplicity lets take state A1, you can choose any one you wish
second member cannot be from state A1, then number of state left = 49
second member can be chosen from any of 49 state left
hence second member can be chosen in 49 ways
for simplicity lets take state A2,
Third member cannot be from state A1 and A2, then number of state left = 48
Third member can be chosen from any of 48 state left
hence Third member can be chosen in 48 ways
for simplicity lets take state A3,
Hence no. of ways of choosing 3-Senator committee be formed such that no two Senators are from the same state = 50*49*48 = 117,600 ways