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Andrew [12]
2 years ago
6

Brendan is 30. Anna is 5 years older than Cassie and 10 years younger than Brendan. How old is Cassie

Mathematics
1 answer:
Keith_Richards [23]2 years ago
6 0

Answer:

20 because Brendan is 30

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Match the solid figure to the appropriate formula.
AlekseyPX

1. L \cdot A=\pi r l        -       Cone

2. V=\frac{4}{3} \pi r^{3}         -        Sphere

3. T \cdot A=2 \pi r h+2 \pi r^{2} - Cylinder

4. V=\frac{1}{3} B h         -        Pyramid

5. L . A=p h         -        Prism

Solution:

1. L \cdot A=\pi r l

Lateral surface area of cone = \pi r l

where r is the radius of the cone and l is the slant height of the cone.

2. V=\frac{4}{3} \pi r^{3}

Volume of sphere = \frac{4}{3} \pi r^{3}

where r is the radius of the sphere.

3. T \cdot A=2 \pi r h+2 \pi r^{2}

Total surface area of cylinder = 2 \pi r h+2 \pi r^{2}

where r is the radius of the cylinder and h is the height of the cylinder.

4. V=\frac{1}{3} B h

Volume of pyramid = \frac{1}{3} B h

where B is the base area of the pyramid and h is the height of the pyramid.

5. L . A=p h

Lateral surface area of prism = p h

where p is the perimeter of the base and h is the height of the prism.

4 0
2 years ago
A sector with a radius of 8 cm has an area of 56pi cm2. What is the central angle measure of the sector in radians?
Maurinko [17]

Answer:

\frac{7\pi}{4}.

Step-by-step explanation:

Given information:

Radius of circle = 8 cm

Area of sector = 56\pi\text{ cm}^2

Formula for area of sector is

A=\dfrac{1}{2}\theta r^2

where, r is radius and \theta is central angle in radian.

Substitute A=56\pi and r=8 in the above formula.

56\pi=\dfrac{1}{2}\theta (8)^2

56\pi=\dfrac{64}{2}\theta

56\pi=32\theta

\dfrac{56\pi}{32}=\theta

\dfrac{7\pi}{4}=\theta

Therefore, the measure of the sector in radians is \frac{7\pi}{4}.

6 0
2 years ago
What is the surface area of the rectangular prism described by the net below?
dimaraw [331]

Answer:

758

Step-by-step explanation:

758 is the answer sheesh

6 0
2 years ago
Read 2 more answers
A vehicle is purchased for $18,000, with a down payment of $6,098. The balance in financed for three years at an annual rate of
mestny [16]
The Present value of an annuity is given by PV = P(1 - (1 + r/t)^-nt)/(r/t)
where: P is the monthly payment, r is the annual rate = 7% = 0.07, t is the number of periods in one year = 12 and n is the number of years = 3.

18,000 - 6,098 = P(1 - (1 + 0.07/12)^-(3 x 12)) / (0.07/12)
11,902 = P(1 - (1 + 0.07/12)^-36) / (0.07/12)
P = 0.07(11,902) / 12(1 - (1 + 0.07/12)^-36) = 367.50

Therefore, monthly payment = $367.50
7 0
2 years ago
Evaluate P(5, 2)<br><br> 20<br> 60<br> 240<br> 10
vesna_86 [32]

P(5,2) =  n! /(n-r)!

n = 5, r = 2:

= (5 x 4 x 3 x 2 x 1 ) /  3 x 2 x 1

Cancel out common factors:

= 5 x 4 = 20

The answer is 20.

3 0
3 years ago
Read 2 more answers
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