True or False. The area of the trapezoid is 24 sq. inches. (A = 1/2h(b1 + b2) or decompose the figure.

The product of x and y is less than or equal to 4

Trava [24]

Product means multiplication. So the equation would be xy ≤ 4.

3 0

3 years ago

What is the radius of a sphere with a surface area of 100TCm ?

tensa zangetsu [6.8K]

The radius is 5cm

Step-by-step explanation:

The surface area of a sphere is given by:

$SA = 4\pi r^2$

Here

Given

SA = 100π cm^2

Putting the values in the formula

$100\pi = 4\pi r^2\\r^2 = \frac{100\pi}{4\pi}\\r^2 = 25$

Taking square root on both sides

$\sqrt{r^2} = \sqrt{25}\\r = 5 cm$

The radius is 5cm

Keywords: Surface area, Radius

Learn more about surface area of sphere at:

#LearnwithBrainly

7 0

3 years ago

PLEASEE HEELLLP!!! I'LL GIVE BRAINLIEST!

Amanda [17]

Answer:

x = 3.25; y = 5.5; angle measures are (cw from bottom left): 96, 84, 96

Step-by-step explanation:

The two angles above the horizontal line form a linear pair, so they are supplementary. Their measures add to 180 deg. That let's you find the value of x.

28x - 7 + 24x + 18 = 180

52x + 11 = 180

52x = 169

x = 169/52

x = 3.25

Now use the lower left angle and the upper right angle. They are vertical angles, so they are congruent. That allows you to solve for y.

12y + 30 = 24x + 18

We know that x = 3.25.

12y + 30 = 24(3.25) + 18

12y + 30 = 78 + 18

12y = 66

y = 66/12

y = 5.5

I don't know what the problem is asking for since you don't show.

x = 3.25; y = 5.5; angle measures are (cw from bottom left): 96, 84, 96

8 0

3 years ago

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Here are the vertices of rectangle FROG: (-2,5),(-2,1),(6,5),(6,1). Find the perimeter of this rectangle. If you get stuck, try

ryzh [129]

Answer:

Part 1) The perimeter of rectangle is equal to 24 units

Part 2) The area of rectangle is equal to 32 square units

Step-by-step explanation:

Part 1) Find the perimeter of rectangle

we know that

The perimeter of rectangle is equal to

$P=2(L+W)$

where

L is the length of rectangle

W is the width of rectangle

we have

$F(-2,5),R(-2,1),O(6,1),G(6,5)$

Plot the figure to better understand the problem

using a graphing tool

see the attached figure

Remember that in a rectangle opposite sides are congruent and the measure of each interior angle is equal to 90 degrees

so

$FG=RO=L\\RF=OG=W$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance FG

$F(-2,5),G(6,5)$

substitute the values

$d=\sqrt{(5-5)^{2}+(6+2)^{2}}$

$d=\sqrt{(0)^{2}+(8)^{2}}$

$FG=8\ units$

step 2

Find the distance RF

$R(-2,1),F(-2,5)$

substitute the values

$d=\sqrt{(5-1)^{2}+(-2+2)^{2}}$

$d=\sqrt{(4)^{2}+(0)^{2}}$

$RF=4\ units$

step 3

Find the perimeter

$P=2(L+W)$

we have

$FG=RO=L=8\ units\\RF=OG=W=4\ units$

substitute

$P=2(8+4)=24\ units$

Part 2) Find the area of rectangle FROG

we know that

The area of rectangle is equal to

$A=LW$

we have

$FG=RO=L=8\ units\\RF=OG=W=4\ units$

substitute

$A=(8)(4)=32\ units^2$

8 0

3 years ago

There are 4 consecutive odd integers with a sum of 128

Free_Kalibri [48]

29, 31, 33, & 25. Those are all odd and if added up equal 128

5 0

3 years ago

Read 2 more answers