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crimeas [40]
3 years ago
8

Need help (in attachment) I HAVE NO IDEA WHAT TO DO.

Mathematics
1 answer:
LenKa [72]3 years ago
4 0
1. 5/12
hold on ill have more in a bit

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It was recently estimated that homes without children outnumber homes with children by seven to five. If there are 3564 homes in
Gwar [14]

Answer:

2079

Step-by-step explanation:

Homes without children outnumbers homes with children by about 7 to 5 ;

If number of children = 3564

Number of homes without children :

Expressing the relaship interms of ratio :

Without children : with children = 7 :5

Total ratio = 7 + 5 = 12

Number of homes without children:

(7 / 12) * 3564

0.5833333 * 3564

= 2079

8 0
3 years ago
What is 967 divided by 60 equals???
CaHeK987 [17]

Answer:

16.11(6)

Step-by-step explanation:

967/60=16 7/60

8 0
3 years ago
Read 2 more answers
Find the measure of the exterior angle shown (4x+8), (2x+3), and 51
Hatshy [7]
180=51+2x+3+4x+8
180=51+11+6x
180=62+6x
-62 -62
-----------
118=6x
---------
6x 6x
x=17

exterior angle = 4x+8
4(17) + 8
68 + 8
76
8 0
3 years ago
Suppose the radius of the sphere is increasing at a constant rate of 0.3 centimeters per second. At the moment when the radius i
elixir [45]
<h2>At the moment when the radius is 24 centimeters, the volume is increasing at a rate of 2171.47 cm³/min.</h2>

Step-by-step explanation:

We have equation for volume of a sphere

             V=\frac{4}{3}\pi r^3

where r is the radius

Differentiating with respect to time,

            \frac{dV}{dt}=\frac{d}{dt}\left (\frac{4}{3}\pi r^3 \right )\\\\\frac{dV}{dt}=\frac{4}{3}\pi \times 3r^2\times \frac{dr}{dt}\\\\\frac{dV}{dt}=4\pi r^2\times \frac{dr}{dt}

Given that

           Radius, r = 24 cm

           \frac{dr}{dt}=0.3cm/s

Substituting

           \frac{dV}{dt}=4\pi r^2\times \frac{dr}{dt}\\\\\frac{dV}{dt}=4\pi \times 24^2\times 0.3\\\\\frac{dV}{dt}=2171.47cm^3/min

At the moment when the radius is 24 centimeters, the volume is increasing at a rate of 2171.47 cm³/min.

4 0
3 years ago
Please help. Thank you!
katrin2010 [14]

Answer:

3a. ⇒ 2700 cm³

3b. ⇒ 72,900 cm³

3c. ⇒ 27

Step-by-step explanation:

3a.

∵ The model in a shape of square pyramid

∴ Its volume = base area × height

∵ Base shaped square with side length 15 cm

∴ Area of base = 15 × 15 = 225 cm²

∵ The model height = 12 cm

∴ She needs = 225 × 12 = 2,700 cm³ of plaster

3b.

∵ Each dimension in the actual stage = 3 times the model

∴ The side of the square base = 15 × 3 = 45 cm

∴ The height = 12 × 3 = 36 cm

∴ The area of the base = 45 × 45 = 2,025 cm²

∴ She needs = 2025 × 36 = 72,900 cm³ of plaster

3c.

∵ Each length in the actual stage is 3 times the model

∴ The volume of the actual stage = (3)³ the volume of the model

∴ The volume of the actual stage = 27 the volume of the model

<em>To check your answer:</em>

Volume actual ÷ Volume model = 72,900 ÷ 2700 = 27

3 0
3 years ago
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