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3 years ago

What is the volume of this. Pyramid 720 cm2 1080cm2 1440 cm2 2160 cm2

Mathematics

1 answer:

Agata [3.3K]3 years ago

8 0

Answer:

Option (1)

Step-by-step explanation:

To calculate the volume of the given pyramid,

Formula to be used,

Volume = $\frac{1}{3}(\text{Area of the triangular base)}(\text{Height})$

Area of the triangular base = $\frac{1}{2}(\text{Base})(\text{Height})$

= $\frac{1}{2}(9)(15)$

= 67.5 cm²

Now volume of the pyramid = $\frac{1}{3}(67.5)(32)$

= 720 cm³

Therefore, Option (1) will be the correct option.

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Assume that there are 365 days in a year, the probability that a person is born on any given day is the same for all days, and e

Artemon [7]

Answer:

Step-by-step explanation:

If each day equal chance then p = Prob that a person is borne on a particular day = 1/365

Each person is independent of the other and there are two outcomes either borne in July or not

p = prob for one person not borne in July = (365-31)/365 = 334/365

a)Hence prob that no one from n people borne in July = $(\frac{334}{365} )^n$

b) p = prob of any one borne in July or Aug = $\frac{(31+31) }{365} =\frac{62}{365}$ =0.1698

X- no of people borne in July or Aug

n =15

P(X>=2) = $15C2 (0.1698)^2*(1-0.1698)^{13} +15C3 (0.1698)^3*(1-0.1698)^{12} +...+15C15 (0.1698)^{15}$

=0.7505

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2 years ago

For one photography session, Dexter earns no less than $50, but no more than $100. Which inequality can be used to represent his

Igoryamba

To answer let e be the amount of Dexter's earning. From the given conditions, it is implied that this value should be equal or more than $50. Further, this amount should also be less than or equal to $100. Mathematically, this can be expressed as,
50 ≤ e ≤ 100
The answer is letter D.

6 0

3 years ago

Read 2 more answers

What is the solution of two thirds x=12

joja [24]

Hi there!

To solve this problem, we need to simplify.

2/3x = 12

To isolate x, we should multiply both sides of the equation by the reciprocal of 2/3 to make x equal to a value:

Reciprocal of 2/3 = 3/2

x = 12 * 3/2
x = 18

Hope this helps!

8 0

2 years ago

Solve the system of equations by substitution.

n200080 [17]

Answer:

x = -8

y = -6

Step-by-step explanation:

y = -2x - 22

y = x + 2

x + 2 = -2x - 22

x + 2x = -22 - 2

3x = -24

x = -24 : 3

x= -8

y = -8 + 2

y = -6

4 0

1 year ago

One of the legs of a right triangle measures 9 cm and the other leg measures 11 cm.

ikadub [295]

Answer:

$\boxed {\boxed {\sf 14.2 \ cm}}$

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean Theorem to solve for the sides.

$a^2+b^2=c^2$

where a and b are the legs and c is the hypotenuse. In this triangle, we know the legs are 9 centimeters and 11 centimeters, or:

a= 9 cm
b= 11 cm

Substitute these values into the formula.

$(9 \ cm)^{2} +(11 \ cm)^{2} =c^{2}$

Solve the exponents.

(9 cm)²= 9 cm*9 cm=81 cm²

$81 \ cm^{2} +(11 \ cm)^{2} =c^{2}$

(11 cm)²= 11 cm*11 cm= 121 cm²

$81 \ cm^{2} +121 cm^{2} =c^{2}$

Add the values on the left side.

$202 \ cm^{2} =c^{2}$

Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.

$\sqrt {202 \ cm^{2} }=\sqrt{c^{2} }$