Answer:
75 inches
Step-by-step explanation:
First, the perimeter of a rectangle is 2(length)+2(width). The length and total of the perimeter was given to us, so the equation looks like 2(48)+2(w)=246
96+2w=246 (multiply and add where you can on both sides)
2w=150 (get all of the variables on one side and the numbers on the other)
w=75 (simplify to get your final answer)
width is 75 inches. [make sure to add the units!]
(お役に立てれば)
Brook makes this conjecture: Because the angles are equal, the proportion of area of each sector relative to the area of the given circle is also equal.
Answer:
The Brooks conjecture is true as the proportion of the area of a sector to the area of a circle is only dependent on the angle.
Step-by-step explanation:
The area of a sector for a radius r and an angle θ is given as
[tex]\Delta Sector=\dfrac{1}{2}r^2\theta[/tex]
Whereas the area of a circle for a radius r is given as
[tex]\Delta Circle=\pi r^2[/tex]
Now the ratio is given as
[tex]\dfrac{\Delta Sector}{\Delta Circle}=\dfrac{\dfrac{1}{2}r^2\theta}{\pi r^2}[/tex]
Here as r is the radius of the circle and it is the same therefore the above ratio is simplified to
[tex]\dfrac{\Delta Sector}{\Delta Circle}=\dfrac{\theta}{2\pi }[/tex]
Here as π is constant the only variable here is θ. Thus according to Brooks conjecture when the angles are equal, the proportion of area of each sector relative to the area of the given circle is also equal is true.
What is the value of the expression (36 1/2)² ?
Answer:
1332 1/4
Step-by-step explanation:
(36 1/2)² = (73/2)² = (73 * 73)/(2 * 2) = 5329/4 = 1332 1/4
if my class starts at 11:45 am and ends at 1:15 pm but I leave early at 12:30 pm how much time have I spent in class?
Answer:
45 minutes
Step-by-step explanation:
you can disregard the 1:15 pm time
Answer:
45 minutes.
Step-by-step explanation:
You can ignore the 1:15 pm, as it's not relevant to the question of how much time you have spent in class.
11:45am to 12:30pm
Adding 15 minutes turns 11:45 am to 12:00 pm
Add another 30 minutes, it becomes 12:30 pm.
Calculate the sum of the minutes:
15+30 = 45 minutes.
how do you find the circumcenter of a triangle?
Answer:
draw the perpendicular bisectors of the sides and extend them. The point at which the perpendicular intersects each other will be the circumcenter of that triangle.
OMG HELP PLS IM PANICKING OMG OMG I GOT A F IN MATH AND I ONLY HAVE 1 DAY TO CHANGE MY GRADE BECAUSE TOMORROW IS THE FINAL REPORT CARD RESULTS AND I DONT WANNA FAIL PLS HELP-
Answer:
3 tens
2 hundreds
5 thousands
7 thousands
GAHHHHHHHHH HELP WITH THIS
Kayla rolls two fair number cubes each numbered 1 through 6. She needs to roll a sum of 9 or more to win a game. She rolls the number cubes one at a time. She rolls a 5 with the first number cube.
What is the probability that Kayla will win the game?
Answer:
1/6
Step-by-step explanation:
Starting with 2 cubes that have 6 numbers total for each one, so 2 cubes will have 12 numbers total, and the probability of number 5 is 2/12 (because each cube has a number 5, so two cubes will have 2, and fraction for it will be 2/12). After simplification, the final result is 1/6.
The table shows input and output values of the function y = x2 + 12x – 2. What is an approximate solution of the equation x2 + 12x – 2 = 0?
Answer:
the answer is 0.16 & -12.16
heeeeeeeeeeeeeeeelp solve the following Q
Answer:
[tex]\huge\boxed{\sf \frac{y-5}{y-3} }[/tex]
Step-by-step explanation:
Solving it by mid-term break method:
[tex]\displaystyle =\frac{y^2-3y-40}{y^2-11y+24} \\\\= \frac{y^2 -8y+5y-40}{y^2-3y-8y+24} \\\\= \frac{y(y-8)+5(y-8)}{y(y-3)-8(y-3)} \\\\Take \ (y-8) \ and \ (y-3)\ common\\\\= \frac{(y-8)(y-5)}{(y-8)(y-3)} \\\\= \frac{y-5}{y-3} \\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
[tex]\frac{y+5}{y-3} \textrm{ where } y \ne 8[/tex]
Step-by-step explanation:
We'll first factorize the quadratic equations by finding their zero-points:
[tex]y^2 - 3y - 40 = 0\\\Delta = (-3)^2 - 4\cdot 1 \cdot -40 = 9 + 160 = 169\\\sqrt{\Delta} = 13\\y = \frac{3 \pm 13}{2}\\y_1 = 8\\y_2 = -5\\y^2 - 3y - 40 = (y - 8)(y + 5)\\~\\y^2 - 11y + 24 = 0\\\Delta = (-11)^2 - 4\cdot 1\cdot 24 = 121 - 96 = 25\\\sqrt{\Delta}} = 5\\y = \frac{11 \pm 5}{2}\\y_1 = 8\\y_2 = 3\\y^2 - 11y + 24 = (y - 8)(y - 3)[/tex]
Now we can use this to simplify the whole division:
[tex]\frac{y^2-3y-40}{y^2-11y+24} = \frac{(y-8)(y+5)}{(y-8)(y-3)} = \frac{y+5}{y-3} \textrm{ where } y \ne 8[/tex]
How many cubic feet are in one cubic yard?
3
9
27
Answer:
c
Step-by-step explanation:
27
How many flowers, spaced every 4 in., are needed to surround a circular garden with a 200-ft radius? Use 3.14 for π.
Find the circumference of the circle:
Circumference = 2 x r x pi
Circumference = 2 x 200 x 3.14
Circumference = 1,256 feet.
4 inches/ 12 inches per foot = 0.333 ft.
Divide the circumference by the spacing:
1255/0.333 = 3,768
You will need 3,768 flowers
The scale factor of the scale model of a desk to the actual desk is represented by the ratio 1:16. If the dimensions of the model desk are 2 inches wide by 3.75 inches long what is the actual area of the top of the desk?
Need help finding the Area for both of these shapes.
Answer:
Shape 1 :36
Shape 2 : 18
Step-by-step explanation:
Shape 1 : So lets break this into 3 different shapes 2 triangle and 1 rectangle. trangle number one is 3x6÷2=9 since both the trangles are the same its 9+9=18. The rectangle is 3x6 which is 18 18+18=36
__________________________________________________________
Shape 2: Lets break it up the same way we did to shape 1, first triangle is 3x5÷2 which is 7.5 since both triangle is the same its 7.5+7.5=15. The ractangle is 3x1 which is 3 so 15+3=18
Hope this helped! :)
What is the unit rate? 52.5/2.5
Answer:
21
Step-by-step explanation:
The lengths of a triangle are given below. Is the the triangle obtuse, acute, or right?
16, 12, 29
Answer:
The answer to this question should be acute
Solve the Answer)Please I need help
Answer:
178 in.
Step-by-step explanation:
14 5/6 times 12= 178 in.
ticket to the school play cost $9 for adults and $6 for students. The Smith Family bought 4 adult tickets and 5 student tickets. The Jones family bought 3 adult tickets and 7 student tickets. What was the difference in the amount spent by the two families?
Answer:
Difference is $3
Step-by-step explanation:
The Jones Family bought 3 adult tickets and 7 student tickets, so they spent 27+42=$69 spent.
The Smith Family bought 4 adult tickets and 5 student tickets, so they spent 36+30=$66 spent.
The difference between them is 69-66=$3.
So, the difference between how much the two families spent is $3.
Answer:
3$
Step-by-step explanation:
Smith family:
9x4=36
5x6=30
total=66$
Jones family:
3x9=27
7x6=42
total=69$
difference=3$
Mhanifa can you please help this is due asap!
Answer:
Step-by-step explanation:
soory i do not kno this one
Answer:
#1a. Diagonals bisect each other
SU = 108.8 cmSW = 1/2*SU = 1/2*108.8 cm = 54.4 cmb. Adjacent interior angles are supplementary
m∠TSV = 57°m∠SVU = 180° - 57° = 123°#2a. Diagonals bisect each other
FH = 2*HZ = 2*4 = 8 unitsb. Adjacent interior angles are supplementary
m∠EHG = 44°mFEH = 180° - 44° = 136°A sequence defined by the rule f(n)=4f(n-1)+2.if f(1)=3 then find f(4)=?
Answer:
f(4) = 6
Step-by-step explanation:
Given the rule f(n) = 4f (n - 1) + 2 where f(1) = 3, f(n) is just a fancy way to name the variable y. As you've seen before, there are equations that are usually y equals x and something. For example:
y = mx + b
is the same thing as
f(n) = y = mn + b.
It might be that you have multiple of the same equation where f(n) and f(x) have two different outcomes.
The f(n) part (bolded) is the "x variable" in this equation. So in f(1), n = 1.
f(n) = 4f (n - 1) + 2
f(n) = (4fn - 4f) + 2
f(n) = (n) + 2
f(1) = 1 +2
3 = 3
Now do the same thing for f(4):
f(n) = 4f (n - 1) + 2
f(n) = (4fn - 4f) + 2
f(n) = (n) + 2
f(4) = 4 + 2
f(4) = 6
What’s the value of c if e^3x+6=8
Answer:
A
Step-by-step explanation:
Examine the system of equations.
-5x + 5y = 40
4x +
Зу = 24
What is the solution?
Answer:
y = 26.2857143 or 184/7 or 26 2/7
x = -13.7142857 or -96/7 or -13 5/7
Step-by-step explanation:
-5x + 5y = 40
-x + y = 40
x = -40 + y
substitute x for -40 + y
4(-40 + y ) + 3y = 24
-160 + 4y + 3y = 24
7y = 184
y = 26.2857143 (?)
x = -40 + 26.2857143
x = -13.7142857
2 students want pancakes and 9 students want waffles. What is the ratio of the number of
students who want pancakes to the number of students who want waffles?
Answer:
2:9
Step-by-step explanation:
To create the ratio, put the number of students that want pancakes to the number that wants waffles.
Since 2 want pancakes and 9 want waffles, the ratio will be 2:9
So, the answer is 2:9
Answer:
2:9
Step-by-step explanation:
beacause if every 2 students want pancakes and 9 want waffles
Janelle bought a beach chair on sale at 60% off. The original price was $44.95. What was the amount of the beach chair?
Answer:
the answer is $17.98
Step-by-step explanation:
....
A water tank holds 24,000 gallons. How many ours will it take for 2/3 of water to be used if the water if the water is used at an average rate of 650 gallons per day
Answer: 591 hours
Step-by-step explanation:
First find out what 2/3 of the water is:
= 2/3 * 24,000
= 16,000 gallons
650 gallons are used per day so the time it takes in days to use the above is:
= 16,000 / 650
= 24.62 days
There are 24 hours in a day. The amount of time it will take to use this amount of water in hours is:
= 24.62 * 24
= 590.88
= 591 hours
find hcf of 3x²+7x-6 and 2x²+7x+3
Given:
The expression are:
[tex]3x^2+7x-6[/tex]
[tex]2x^2+7x+3[/tex]
To find:
The HCF of the given expression.
Solution:
We have,
[tex]3x^2+7x-6[/tex]
[tex]2x^2+7x+3[/tex]
The factor form of given expressions are:
[tex]3x^2+7x-6=3x^2+9x-2x-6[/tex]
[tex]3x^2+7x-6=3x(x+3)-2(x+3)[/tex]
[tex]3x^2+7x-6=(x+3)(3x-2)[/tex]
Similarly,
[tex]2x^2+7x+3=2x^2+6x+x+3[/tex]
[tex]2x^2+7x+3=2x(x+3)+1(x+3)[/tex]
[tex]2x^2+7x+3=(x+3)(2x+1)[/tex]
From the factor forms it is clear that the factor [tex](x+3)[/tex] is common.
Therefore, the HCF of given expressions is [tex](x+3)[/tex].
What is the area of the triangle given below?
2
11
O A. 11 sq. units
B. 13 sq. units
C. 8 sq. units
O D. 22 sq. units
Answer:
Area = 11 sq. unitsStep-by-step explanation:
Base = 11 units
height = 2 units
Area = 1/2 × base × height
Area = 1/2 × 11 × 2
Area = 11 sq. units
11 square units is the area of the triangle , option A is correct.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
The formula to find area of triangle is half times of base and height
Given Base is 11 units
height is 2 units
Area = 1/2 × base × height
Plug in the values of base and height
Area = 1/2 × 11 × 2
Area = 11 sq. units
Hence, 11 square units is the area of the triangle , option A is correct.
To learn more on Triangles click:
https://brainly.com/question/2773823
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Please need help nowwwwww helpppppp
A rectangular piece of fabric was used to make a banner. It measured 12 feet long and had an area of 24 square feet. What is its perimeter?
Answer:
the perimeter is 28
Step-by-step explanation:
2+2=4
12+12=24
24+4=28
Answer:
Perimeter = 28 feet
Step-by-step explanation:
The formula to find the area of a rectangle is Length * width and we already have one dimension here, so we simply plug it in and make an equation to the find the unknown measurement
12 * d = 24
d = 24/12
d = 2
So the missing dimension is 2 feet
Now we simply find the perimeter of the rectangle using the formula
2 ( length + width)
= 2 (12 + 2 )
= 2 ( 14 )
= 28 feet
A triangle has side lengths of 17 inches, 19 inches, and 10 inches. What kind of triangle is it?
Answer:
Scalene triangle
Step-by-step explanation:
a scalene triangle has 3 uneven sides
Need help with this math problem.
I forget all my vocabulary so hopefully someone else can correct me if the words I use aren't correct. But the following is definitely a function. "Although two x values correspond to a singular y value, the function passes a vertical line test. Meaning that it is ok to have values of x that equal the same y values, however two values of y assigned to the same x value would make the function undefined."
Hope this helps! The only vocabulary in this that you would really need is "corresponding," and (if you learned about it, you may not have yet) "vertical line test"