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rodikova [14]
3 years ago
5

The function p has domain -14 (-6, -6) to (10, 2). (a) Sketch y = p(x). (2) (b) Write down the range of p(x). (1

)
(c) Find the values of a, such that p(a) =-3.
(2)
Mathematics
1 answer:
Katarina [22]3 years ago
3 0

Answer:

c____________________

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A ramp leading into a building makes a 15° angle with the ground. The end of the ramp is 10 feet from the base of the building.
Paul [167]

Answer:

10.4feet

Step-by-step explanation:

The set up wil form a right triangle

Length of the ramp is the hypotenuse

The length of the end of the ramp from the base= 10 feet (adjacent)

Angle of elevation = 15 degrees

Required

Length of the ramp

Using SOH CAH TOA

Cos  theta = adj/hyp

cos 15 = 10/L

L = 10/cos15

L = 10/0.9659

L = 10.35

L ≈ 10.4 feet

Hence the length of the ramp is 10.4feet

3 0
3 years ago
Read 2 more answers
Hiro bought a small carton of milk at lunch.
Bogdan [553]

Answer

If I understand the problem correctly, It would be 95 inches squared although the number I got was 95.74, which would actually round to 96. What I think it is asking for is the surface area of the milk carton.

Bottom:

<em>length * width</em>

3 * 3 = 9

Rectangular Sides:

One side would be the length or width (which both equal 3) times the height (6.5), and there are 4 total sides.

<em>number of sides(length or width * height)</em>

4(3 * 6.5) = 4(19.5) = 78

Triangular Sides:

One side would be \frac{1}{2} * base (3) times height (1.5), and there are 2 triangular sides.

<em>2(1/2(base * height))</em>

2(1/2(3 * 1.5)) = 3 * 1.5 <em>(The 2 and the 1/2 cancel each other out)</em> = 4.5

The Roof-shaped Top Surfaces:

These are rectangles that you the width is equal to the length of the rectangular prism, and the length is equal to the one side of the triangle. You can find that length by using the Pythagorean theorem (\sqrt{1.5^2 + 1.5^2}) which 1.5 is half of the base and the other 1.5 is the height. There are 2 of these rectangles making the final equation 2\sqrt{1.5^2+1.5^2} ≈ 4.24.

Now, add up each of the values:

9 + 78 + 4.5 + 4.24 = 95.74.

Comment if you see an error in my work.

3 0
3 years ago
Read 2 more answers
What is the exact distance from (−1, 4) to (6, −2)?
Studentka2010 [4]
Same as last time:

d^2=(x2-x1)^2+(y2-y1)^2

d^2=(6--1)^2+(-2-4)^2

d^2=7^2+(-6)^2

d^2=49+36

d^2=85

d=√85  (85=5*7 and both 5 and 7 are prime so √85 cannot be simplified any further)

The exact distance is √85 units.  
8 0
3 years ago
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I need help I don’t understand this
Andrei [34K]

See the explanation

<h2>Explanation:</h2>

Hello! here we need to match the statements on the left-hand side to the reasons on the right-hand-side.

So this is as follows:

Statements:                                                       Reasons:

Segment Addition Postulate                            AB+BC=AC

Substitute the given values                              5x+1+15=7x

Simplify                                                               5x+16=7x

Subtract 5x from both sides                              16=2x

Divide both sides by 2                                       16/2=2x/2

Simplify                                                               AC=7x

Substitute 8 for x                                               AC=7(8)

Simplify                                                               AC=56

So what we did here is to find the measure of segment AC by finding the x-value first. In other words, we have proven that AC = 56 by following logical arguments organized in an structured manner.

<h2>Learn more:</h2>

Two-column proof: brainly.com/question/13338796

#LearnWithBrainly

8 0
3 years ago
Which function has x-intercepts of 3 and 8 and contains the point (–1, –2)?
mojhsa [17]
This is how you do it.

y = a(x - 3)(x - 8) 
<span>-2 = a(-1 - 3)(-1 - 8) </span>
<span>-2 = 36a </span>
<span>- 1 / 18 = a </span>
<span>y = ( - 1 / 18)(x^2 - 11x + 24) </span>
<span>y = (- 1 / 18)x^2 + (11 / 18)x - (3 / 2)
</span>
If this doesn't explain it enough, please, ask questions.
6 0
3 years ago
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