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3 years ago

14

Hi. My math teacher gave us a huge assignment but didn't explain anything to us... Please help me :)

1 answer:

zepelin [54]3 years ago

5 0

Answer: y-int is 0, 250, slope is -1/3

Step-by-step explanation:

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HELP ASAP WILL MARK BRAINLIEST AREA OF FIGURES

Lerok [7]

Answer:

1. 170.083 in³

2. 126π in³

3. 92.106 m³

4. 2412.74 in³

5. 612π m³ and 1922 m³

Step-by-step explanation:

1.

Cylinder:

$V = \pi r^{2}h$ *Plug in numbers*

$(3.14)(2.5)^{2}(7)$ *Square 2.5*

$(3.14)(6.25)(7)$ *Solve*

≈ $137.375in^{3}$

Sphere:

$V = \frac{4}{3}\pi r^{3}$ *Plug in numbers*

$\frac{4}{3} (3.14)(2.5)^{3}$ *Cube 2.5*

$\frac{\frac{4}{3}(3.14)(15.625)}{2}$ *Divide by 2 and Solve*

≈ $32.7083 in^{3}$

Add both volumes

$137.375 + 32.7083$ ≈ $170.083in^{3}$

2.

Cylinder:

$V = \pi r^{2}h$ *Plug in numbers*

$\pi (3)^{2}(10)$ *Square 3*

$\pi (9)(10)$ *Multiply*

$90\pi$

Sphere:

$V = \frac{4}{3}$ π $r^{3}$ *Plug in numbers*

$\frac{4}{3}\pi (3)^{3}$ *Cube 3*

$\frac{4}{3} \pi (27)$ *Multiply*

$36\pi$

Add both Volumes to get total

$90\pi + 36\pi = 126in^{3}$

3.

Sphere:

$V = \frac{4}{3}\pi r^{3}$ *Plug in numbers*

$\frac{4}{3} (3.14)(3)^{3}$ *Cube 3*

$\frac{4}{3} (3.14)(27)$ *Multiply*

$113.04m^{3}$

Cone:

$V = \frac{\pi r^{2}h}{3}$ *Plug in numbers*

$\frac{(3.14)(2)^{2}(5)}{3}$ *Square 2*

$\frac{(3.14)(4)(5)}{3}$ *Solve*

$20.93m^{3}$

Subtract the volumes to get the volume of the blue area

$113.04 - 20.93 = 92.106m^{3}$

4.

Sphere:

$V = \frac{4}{3} \pi r^{3}$ *Plug in numbers*

$\frac{4}{3}\pi (8)^{3}$ *Cube 8*

$\\\frac{4}{3}\pi (512)$ *Multiply*

$\\\\\pi (682.6)$ *Solve*

$2133.66in^{3}$ *Divide by 2 since it's a hemisphere*

Cone:

$V = \frac{\pi r^{2}h}{3}$ *Plug in numbers*

$\frac{\pi (8)^{2}(20)}{3}$ *Square 8*

$\frac{\pi (64)(20)}{3}$ *Multiply and Divide*

$1340.41 in^{3}$

Add both volumes

$1072.33 + 1340.41 = 2412.74in^{3}$

5.

Cylinder:

$V = \pi r^{2}h$ *Plug in numbers*

$\pi (6)^{2}(16)$ *Square 6*

$\pi (36)(16)$ *Multiply*

$576\pi$

Cone:

$V = \frac{\pi r^{2}h}{3}$ *Plug in numbers*

$\frac{\pi (6)^{2}3}{3}$ *Square 6*

$36\pi$

Add both volumes

$576\pi + 36\pi = 612\pi m^{3}$

Alternative: *Multiply π*

$1922m^{3}$

4 0

3 years ago

Read 2 more answers

Find the volume of a sphere, to the nearest tenth, that has a radius of 7cm

Natali [406]

The formula of a volume of a sphere with radius R:

$V=\dfrac{4}{3}\pi R^3$

We have R = 7cm. Substitute:

$V=\dfrac{4}{3}\pi\cdot7^3=\dfrac{4}{3}\pi\cdot343=\dfrac{1372\pi}{3}\ cm^3$

$\dfrac{1372\pi}{3}\approx1436.0\ cm^3$

<h3>Answer: V = 1436.0 cm³</h3>

8 0

3 years ago

Points If a person invests $250 at 9% annual interest, find the approximate value of the investment at the end of 15 years.

AfilCa [17]

Principal Amount = P = $250

Interest Rate = r = 9% = 0.09

Time in years = t = 15 years

Value of investment = A = ?

The formula to calculate the value on investment as a result of annual interest is:

$A=P(1+r)^{t}$

Using the values in the above formula, we get:

$A=250(1+0.09)^{15}\\ \\ A=\$ 910.62$

Thus, at the end of 15 years the value of the investment will be $ 910.62.

7 0

3 years ago

Explain how to estimate 368+231 two different ways

Veseljchak [2.6K]

Answer:

Step-by-step explanation:

368..........400

231...........200

400+200 = 600

300+200 =500

68.......70

31........30

70+30 =100 500+100 =600

4 0

4 years ago

NEED HELP ASAP ON THIS QUESTION

viktelen [127]

Answer:

x = 12

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

$\frac{AB}{DE}$ = $\frac{BC}{EF}$ , substitute values

$\frac{x}{6}$ = $\frac{8}{4}$ ( cross- multiply )

4x = 48 ( divide both sides by 4 )

x = 12

5 0

3 years ago