All categories

3 years ago

Please help i have 4 min

Mathematics

1 answer:

krok68 [10]3 years ago

3 0

$x^2=5^2+8^2\\
x^2=25+64\\
x^2=89\\
x=\sqrt{89}\approx9.4$

You might be interested in

Each side of a square is increasing at a rate of 5 cm/s. At what rate is the area of the square increasing when the area of the

icang [17]

Answer:

Step-by-step explanation:

Area of a square with side of length L is expressed as A = L². The rate at which the area is increasing will be expressed as dA/dt.

dA/dt = dA/dL * dL/dt where

dL/dt is the rate at which each side of the square is increasing.

Since dA/dL = 2L, dA/dt = 2L dL/dt

Given dL/dt = 5cm/s and the Area of the square = 49 cm²

49 = L²

L = √49

L = 7cm

dA/dt = 2(7) * 5

dA/dt = 14*5

dA/dt = 70cm/s

The rate at which the area of the square is increasing is 70cm/s

3 0

3 years ago

Is my solution correct?

poizon [28]

Answer:

The area of the shaded sector is $51.2\pi \ units^{2}$

Step-by-step explanation:

I assume that the problem is

Find the area of the shaded sector of the circle with radius equal to 16 units

step 1

Find the value of x

we know that

$8x+2x=360\°$ -----> by complete circle

$10x=360\°$

$x=36\°$

The central angle of the shaded sector is 2x

$2(36\°)=72\°$

step 2

Find the area of the circle

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=16\ units$

substitute

$A=\pi (16)^{2}$

$A=256\pi\ units^{2}$

step 3

Find the area of the shaded sector

we know that

A central angle of 360 degrees subtends an area of circle equal to $256\pi\ units^{2}$

by proportion

Find the area of the shaded sector by a central angle of 72 degrees

$\frac{256\pi}{360}=\frac{x}{72} \\ \\ x=256\pi *(72)/360\\ \\x=51.2\pi \ units^{2}$

4 0

3 years ago

What is 7 times blank equals 1?

erastova [34]

0.1428 is what i got ;)

7 0

4 years ago

What is the Base of the Triangle WHEN the Heighth is 6 feet and the Area is 14 feet to the power of 2?

NARA [144]

I’m pretty sure b = 14/3 feet

7 0

3 years ago

Read 2 more answers

What is the mean absolute deviation of the data: 8, 10, 15, 8, 12, 13, 12 and 14?

Zina [86]

Answer:

11.5

Step-by-step explanation:

Add all the numbers up and divide the total by how many numbers there are

8 0

3 years ago