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3 years ago

Write an equation of the line passing through the points (4,10) and (-1,-15)

Mathematics

1 answer:

KATRIN_1 [288]3 years ago

3 0

Answer:

Step-by-step explanation:

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Olivia is making a triangular pyramid model for math class. The triangular base has a height of 5 inches and a base of 8 inches.

Vesna [10]

Answer:

66.7 in^3

Step-by-step explanation:

The volume of a triangular pyramid is given by

V = 1/3 B h

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

Calculate the area of the base. The base is a triangle

B = 1/2 bh where b is 8 and h is 5

= 1/2 (8) * 5

=20

V = 1/3 (20) 10

66.6666666

To the nearest tenth

66.7 in^3

7 0

3 years ago

Read 2 more answers

A football team gained 7 yards in one play. What integer represents the amount of yards the football team gained?

Goshia [24]

Answer:

y + 7 = x

Step-by-step explanation:

4 0

2 years ago

Which of these expressions shows like terms?

Katen [24]

Answer:

the answer is 2× + 3×

Step-by-step explanation:

hope it helps

4 0

3 years ago

In parallelogram ABCD, AD = 12 in, m∠C = 46º, m∠DBA = 72º. Find the area of ABCD

dmitriy555 [2]

Answer:

The area of parallelogram ABCD is $78.42 \mathrm{in}^{2}$

Explanation:

Given:

AD = 12 in

$m \angle C=46^{\circ}$

$m \angle D B A=72^{\circ}$

To Find:

The area of parallelogram ABCD=?

Solution:

When we construct the parallelogram with the given data, we get a parallelogram formed by 12 cm as one side and an angle with 46 degrees.

The area of the parallelogram can be calculated by $a b * \sin (a n g l e)$

Substituting the value of a=12 we have

$\text { Area of parallelogram }=12 * \text { bsin } 46$

To find the value of b,

We know that area of a triangle can be expressed as,

$\text { Area of triangle }=(A b / 2) \sin (\text {angle})$

So,

$(12 * B D / 2) * \sin 46=(A B * B D / 2) * \sin 72$

Cancelling BD and 2 on both sides we get,

$12 * \sin 46=A B * \sin 72$

$A B=12 * \frac{\sin 46}{\sin 72}$

Therefore,

$b=\frac{12 \sin 46}{\sin 72}$

Substituting the value of b,

$=12 *\left(\frac{12 \sin 46}{\sin 72}\right) * \sin 46$

=78.42

So the area of the parallelogram is $78.42 \mathrm{in}^{2}$

6 0

3 years ago

Read 2 more answers

A plastic storage bin is shaped like a rectangular prism. The height of the bin is 9 inches. The bottom of the bin has an area o

Charra [1.4K]

Answer:

1620in³

Step-by-step explanation:

Volume of a rectangular prism = BH

B is the Base area

H is the height of the prism.

Given

B = 180in²

H = 9in

get the volume of the prism

Volume of the prism = 180 * 9

Volume of the prism = 1620in³

Hence the volume of the rectangular prism is 1620in³

4 0

2 years ago