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Nezavi [6.7K]
3 years ago
14

A 10 foot ladder is leaning up against a building. If the ladder makes a 46° angle

Mathematics
1 answer:
Gnesinka [82]3 years ago
4 0

Answer:

7.193 ft

Step-by-step explanation:

    |\

    |   \

    |      \

    |         \

h  |            \      10 ft

    |               \

    |                  \

    |            46°   \

    ---------------------

For the 46° angle, h is the opposite leg. The hypotenuse is 10 ft. The sine is the trig ratio that relates the opposite leg to the hypotenuse.

sin A = opp/hyp

sin 46° = h/10

h = 10 sin 46°

h = 7.193

Answer: 7.193 ft

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A math teacher instructed students to graph the following equations on a coordinate plane. y=2.5x+2 and y=2x+4. If graphed corre
algol [13]

Both the graphical lines will intersect at (4,12)

Step-by-step explanation:

Step 1; We must find the point in the graph where the lines of y=2.5x+2 and y=2x+4 intersect. To find out the intersecting point we must substitute values of x in both equations and see in which co-ordinate they are the same.

Step 2; We plot various values of x on the line governed by the equation y=2.5x+2

For a value of x=1 , y=2.5(1) + 2 = 4.5

For a value of x=2 , y=2.5(2) + 2 = 7

For a value of x= 3, y=2.5(3) + 2 = 9.5

For a value of x= 4, y=2.5(4) + 2 = 12

For a value of x= 5, y=2.5(5) + 2 = 14.5

Step 3; Now we also plot the values of x on the other line governed by y=2x+4

For a value of x= 1, y=2(1) + 4 = 6

For a value of x= 2, y=2(2) + 4 = 8

For a value of x= 3, y=2(3) + 4 = 10

For a value of x= 4, y=2(4) + 4 = 12

For a value of x= 5, y=2(5) + 4 = 14

Step 4; For both lines we must see if any of the values repeat at a particular point. In this case at the point (4,12) repeats for both so that becomes the point of intersection.

8 0
3 years ago
This table shows the population of caribou in an area over a period of years . a. What is the growth factor? b. Write an equatio
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Answer:

I Think its B

Step-by-step explanation:

Edge 2021

3 0
3 years ago
Can you guys pls help me out
34kurt

Answer:

answer C

i think

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8 0
3 years ago
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Which function is being graphed below?
Keith_Richards [23]

The absolute function will be f(x) = | x - 5 | - 4.

<h3 /><h3>What is an absolute function?</h3>

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The absolute function is given as

f(x) = | x - h | + k

Where h,k is the vertex of the absolute function.

f(x) = | x - 5 | - 4

Therefore the absolute function will be f(x) = | x - 5 | - 4.

More about the absolute function link is given below.

brainly.com/question/10664936

#SPJ1

4 0
2 years ago
Find the circumference
tia_tia [17]

Answer:

6.25\pi

Step-by-step explanation:

A circumference of a circle can be determined by this: 2*pi*r

We're given the diameter. Divide that by 2 to get the radius.

6.45/2 = 3.225

Now multiply that by 2*pi. That gives us 2 * 3.14 * 3.225 = 20.253.

This could've also been done easier by doing pi*d where d is the diameter and you give the answer by multiplying them both. Also works, but the above formula is just key to many things and can also be used to derive the simpler one. Hope it helps! :)

7 0
2 years ago
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