Which expression calculates the time in hours an object takes to travel 38 miles at a speed of 2 m/hm/h ?

Wren recorded an outside temperature of –2°F at 8 a.m. When she checked the temperature again, it was 4°F at 12:00 p.m. If x rep

Ksenya-84 [330]

Answer:

Step-by-step explanation:

We are given two points. Let the points be A and B

A ( 8 , -2 ) ------> ( x1 , y1 )

B ( 12 , 4 ) ------> ( x2 , y2 )

Now, let's find the slope of the given points:

$slope \: = \frac{y2 - y1}{x2 - x1}$

plug the values

$= \frac{4 - ( -2)}{12 - 8}$

When there is a ( - ) in front of an expression in parentheses , change the sign of each term in the expression

$= \frac{4 + 2}{12 - 8}$

Subtract the numbers

$= \frac{4 + 2}{4}$

Add the numbers

$= \frac{6}{4}$

Reduce the fraction with 2

$= \frac{3}{2}$

$= 1.5$

Hope this helps..

Best regards!!

8 0

2 years ago

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A palm tree is supported by two guy wires as shown in the diagram below. Which trig expression can be used to find the height on

Volgvan

Answer:

D. $tan(30^\circ+45^\circ)$ is the correct answer.

Step-by-step explanation:

The given situation can be represented as a figure attached in answer area.

B is the base of tree.

C is the base of wires.

A and D are the end of 2 wires supporting the tree.

$\angle DCB =45^\circ\\\angle ACB =75^\circ\\$

Here, we need to find the Height of the tree which is represented the by side AB.

and we are given that bases of wires and tree base are at a distance 4 ft.

i.e. side BC = 4 ft

If we look at the $\triangle ABC$ , we are given the base BC and the $\angle ACB$ , and the perpendicular is to be find out.

We can use trigonometric identity:

$tan\theta =\dfrac{Perpendicular}{Base}$

$tan 75^\circ = \dfrac{AB}{BC}\\\bold {tan (45+30)^\circ }= \dfrac{AB}{4}\\\Rightarrow AB = \bold {tan (45+30)^\circ } \times 4 = 14.93\ ft$

Hence, D. $tan(30^\circ+45^\circ)$ is the correct answer.

5 0

2 years ago

Explain how to find the volume of any composite figure.

snow_tiger [21]

Answer:

Step-by-step explanation:

The first composite shape is a combination of a rectangular prism and a pyramid. To find the volume of the entire shape you find the volume of each individual shape and add them together. The second figure consists of a cylinder and a hemisphere.

8 0

3 years ago

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Write in factored form:<br><br> 13x - 26

iogann1982 [59]

Factored form is x-2

6 0

2 years ago

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How do you get the volume of a triangular prism?

lisov135 [29]

The equation for that is V = 1/2 A x C x H