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3 years ago

Which value is closest to the perimeter of the window

Mathematics

2 answers:

bixtya [17]3 years ago

8 0

Answer:

9.82 Is the Closest

Step-by-step explanation:

First of all, you can see its a half circle, meaning if we make it a full circle, the length of the center is 5, so the full circle's area is about 19.5-20. Now to find the area of the half circle/windows we get 9.75 - 10. The only number between that is 9.82, which should be you answer.

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Eddi Din [679]3 years ago

6 0

Answer:

9.82 feet

Step-by-step explanation:

the perimeter of the window is the circumference of a semi-circle with a diameter of 5

P = (πd)/2 (divided in half because it's only half a circle)

P ≈ 3.14(3.5) which is approx 11

11 is closest to 9.82

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Solve the system by finding the determinants and using Cramer's Rule: 2x - y = 4 3x + y = 1

Ahat [919]

Answer:

(1, - 2)

Step-by-step explanation:

2x - y = 4

3x + y = 1

A = $\left[\begin{array}{cc}2&-1\\3&1\end{array}\right]$ = 2(1) - 3( - 1) =2 + 3 = 5

$A_{x}$ = $\left[\begin{array}{cc}4&-1\\1&1\end{array}\right]$ = 4(1) - 1(- 1) = 4 + 1 = 5

$A_{y}$ = $\left[\begin{array}{cc}2&4\\3&1\end{array}\right]$ = 2(1) - 4(3) = 2 - 12 = - 10

x = $\frac{A_{x} }{A}$ = 1

y = $\frac{A_{y} }{A}$ = - 2

(1, - 2)

5 0

2 years ago

If f(x) = kx^3+ x^2 − kx + 2, find a number k such that the graph of f contains the point (k, -10)

Elina [12.6K]

If we write $k$ where we see $x$ in the equation and set the result equal to $-10$ , we get the result.

$f(k)=k(k)^3+k^2-k(k)+2$
$=k^4+k^2-k^2+2$
$=k^4+2=-10$
$k^4=-12$
$k_{1}=\sqrt[4]{3}(-1-i)$
$k_{2}=\sqrt[4]{3}(-1+i)$
$k_{3}=\sqrt[4]{3}(1-i)$
$k_{4}=\sqrt[4]{3}(1+i)$

4 0

1 year ago

Find the five-number summary for the given data. Min Q1 Q2 Q3 Max

Aleonysh [2.5K]

Answer with Step-by-step explanation:

16 19 21 26 27 29 34 35 35 39 40 41 42 50 50 52 57 60 75 76 78 81 84

the data is already arranged in ascending order

Min=16

Max=84

The quartiles for the odd set of data is given by

$Qi=\dfrac{i(n+1)}{4}\ th\ term$

where n is the number of elements

Here, n=23

$Q1=\dfrac{(23+1)}{4}\ th\ term$

Q1=6 th term

Q1=29

Q2=12 th term

Q2=41

Q3=18 th term

Q3=60

Hence, five-number summary for the given data is:

Min Q1 Q2 Q3 Max

16 29 41 60 84

8 0

3 years ago

In the figure below, AMNO

NeX [460]

Given:

$\Delta MNO\cong \Delta PQR$

To find:

The length of QR.

Solution:

We have,

$\Delta MNO\cong \Delta PQR$

Then, $MN=PQ$ (CPCTC)

$10=4x-2$

$10+2=4x$

$12=4x$

Divide both sides by 4.

$\dfrac{12}{4}=x$

$3=x$

Similarity,

$MO=PR$ (CPCTC)

$2y+3=21$

$2y=21-3$

$2y=18$

Divide both sides by 2.

$y=9$

Now,

$x+y=3+9$

$x+y=12$

Therefore, the correct option is d.

4 0

3 years ago

On field day, Breanna long jumped 62 inches, Myquisha jumped 5 feet 4 inches, and Ariana jumped 1 yard, 2 feet, 7 inches. Which

ella [17]

Let’s convert all their jumps into inches.

Breanna’s is already in inches (62)

Myquisha jumped 5 feet 4 inches
There are 12 inches in a foot, so

5 feet * 12 inches= 60 inches

Then add the 4 inches
60+4= 64
So Myquisha jumped 64 inches.

Ariana jumped 1 yard, 2 feet, 7 inches

1 yard is equal to 3 feet.

So, she jumped 5 feet 7 inches

12 inches in a foot, so
5*12=60 inches

Add the 7
60+7= 67 inches

So Breanna jumped 62, Myquisha 64 and Ariana 67

In order of shortest to longest:

Breanna, Myquisha, Ariana

3 0

4 years ago

Read 2 more answers