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3 years ago

What is the volume of this rectangular prism?

Mathematics

1 answer:

Leni [432]3 years ago

6 0

Answer:

Step-by-step explanation:

cause 2/3 * 6 is 4 then 4*5 is 20

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6x+2y=8 slope intercept form

77julia77 [94]

Answer:

Step-by-step explanation:

Mark as brainliest

4 0

2 years ago

the sum of two numbers is 63. one ninth of the first number plus one sixth of the second number is 21. find the numbers

PSYCHO15rus [73]

Answer: x= -189, y =252

Step-by-step explanation:

Let the first number be x and second number be y

x + y = 63

x = 63-y

now

1/9 of x + 1/6 of y = 21

x/9 + y/6 = 21

substituting x's value from equation i

(63-y)/9 + y/6 = 21

(378-6y+9y)/54 = 21

378+3y = 1134

3y = 1134-378

so, 3y = 756

so, y = 756/3

so, y = 252

now

x = 63-252

so, x = -189

6 0

3 years ago

A 10 ft pole has a support rope that extends from the top of the pole to the ground. The rope and the ground form a 30 degree an

mr Goodwill [35]

Answer:

The length of rope is 20.0 ft . Hence, option (1) is correct.

Step-by-step explanation:

In the figure below AB represents pole having height 10 ft and AC represents the rope that is from the top of pole to the ground. BC represent the ground distance from base of tower to the rope.

The rope and the ground form a 30 degree angle that is the angle between BC and AC is 30°.

In right angled triangle ABC with right angle at B.

Since we have to find the length of rope that is the value of side AC.

Using trigonometric ratios

$\sin C=\frac{\text{perpendicular}}{\text{hypotenuse}}$

$\sin C=\frac{AB}{AC}$

Putting values,

$\sin 30^\circ} =\frac{10}{AC}$

We know, $\sin 30^\circ}=\frac{1}{2}$

$\frac{1}{2} =\frac{10}{AC}$

On solving we get,

AC= 20.0 ft

Thus, the length of rope is 20.0 ft

Hence, option (1) is correct.

8 0

3 years ago

Read 2 more answers

Find the factorization of each of the following number: A.18 B.24 C.38 D.81

const2013 [10]

Answer:

A: (3^2)*2

B: (2^3)*3

C: 2*19

D: (3^2)*9

Step-by-step explanation:

We have:

A) 18= 3*3*2= (3^2)*2

B) 24=2*2*2*3=(2^3)*3

C) 38 = 2*19

D) 81 =3*3*9=(3^2)*9

6 0

2 years ago

What is the slope of a line perpendicular to the line y = 2x + 5? Type a numerical answer in the space provided. Do not type spa

Rama09 [41]

Answer:

-1/2

Step-by-step explanation:

The slope of the given line is the coefficient of x, which is 2.

The slope of the perpendicular line is the negative reciprocal of that:

-1/2

4 0

2 years ago