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Oksanka [162]
3 years ago
14

-3(8 + 3h) = 5h + 4 simplify.

Mathematics
1 answer:
Lesechka [4]3 years ago
5 0
-24 -9h = 5h+4
-9h - 5h = 4+24
-14h = 28
h = -2
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Mrs. Lopez is designing her garden in the shape of a rectangle. The area of her garden is 2 times greater than the area of the r
scoray [572]

To find the expression for the area of the rectangular garden we will find the area of the rectangle in the picture and then double it.

Area of the garden will be represented by the expression 32s⁵ ft².

Mrs. Lopez is designing her rectangular garden which is 2 times greater than the area of the rectangle shown in the picture.

Dimensions of the rectangle in the picture are 4s³t ft and 8s² ft.

Therefore, area of the rectangle in the picture = Length × Width

                                                                              = 4s³t × 8s²

                                                                              = 32s⁵t ft²

Since, area of the garden is 2 times greater than the area of the rectangle given in the picture.

Therefore, area of the garden = 2(area of the rectangle given in the garden)

                                                  = 2(32s⁵t) square feet.

                                                  = 64s⁵t square feet

Learn more,

brainly.com/question/17419256

6 0
2 years ago
Un cono ha l'area laterale di 255 pigreco cm^2, l'apotema di 17 cm e pesa 900 pigreco g. Calcola il peso specifico del materiale
valkas [14]

Answer:

The specific weight is 1.5\frac{g}{cm^{3}}

Step-by-step explanation:

The question in English

A cone has a lateral area of 255 pi cm^2, an apothem of 17 cm and weighs 900 pi g. It calculates the specific weight of the material of which it is composed

step 1

Find the radius of the cone

we know that

The lateral area of a cone is equal to

LA=\pi rl

we have

LA=255\pi\ cm^{2}

l=17\ cm

substitute the values

255\pi=\pi r(17)

Simplify

255=r(17)

r=255/(17)=15\ cm

step 2

Find the height of the cone

Applying the Pythagoras Theorem

l^{2} =r^{2} +h^{2}

substitute the values and solve for h

17^{2} =15^{2} +h^{2}

h^{2}=17^{2}-15^{2}

h^{2}=64

h=8\ cm

step 3

Find the volume of the cone

The volume of the cone is equal to

V=\frac{1}{3}\pi r^{2}h

substitute the values

V=\frac{1}{3}\pi (15)^{2}(8)

V=600\pi\ cm^{3}

step 4

Find the specific weight

Divide the mass by the volume

\frac{900\pi }{600\pi}=1.5\frac{g}{cm^{3}}

4 0
3 years ago
Mary purchased a new drawing box. The height, width and length of the box are respectively 12 cm, 6 cm, 3 cm. She wants to fill
Volgvan
12 x 6 x 3 = 216
Volume = 216 cm cubed

216/0.03 = 7200
Answer = 7200 pencils

Hope it helped :)
6 0
3 years ago
How do i solve by using substitution​
elena55 [62]

Answer:

a = 0, b = 3

Step-by-step explanation:

3a + b = 3

b = - 3a +3

2a - 5b = - 15

2a - 5(-3a + 3) = - 15

2a + 15a - 15 = - 15

17a = 0

a = 0

b = -3a +3 = - 3 *0 +3 = 3

3 0
3 years ago
Find the volume of the sphere
ioda

Volume of a sphere of radius r is

V = (4/3)πr³

r = 9

V = (4/3)π(9³) = 12(9²)π = 972 π

Answer : 972π cubic units

5 0
3 years ago
Read 2 more answers
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