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Rufina [12.5K]
3 years ago
11

Choose the correct answer.

Mathematics
1 answer:
Gekata [30.6K]3 years ago
8 0
Zero slope. (Remember rise over run)
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To solve y and x, I am adding a picture
Viktor [21]

Answer:

x =\sqrt 5

y = \sqrt{5

Step-by-step explanation:

Given

The attached triangle

Required

Solve for x

Considering angle 45 degrees, we have:

\cos(45) = \frac{y}{\sqrt{10}} --- cosine formula i.e. adj/hyp

Solve for y

y = \sqrt{10} * \cos(45)

In radical form, we have:

y = \sqrt{10} * \frac{1}{\sqrt 2}

y = \sqrt{10/2}

y = \sqrt{5

To solve for x, we make use of Pythagoras theorem

x^2 + y^2 = (\sqrt{10})^2

x^2 + y^2 =10

Substitute for y

x^2 + (\sqrt 5)^2 =10

x^2 + 5 =10

Collect like terms

x^2  =10-5

x^2=   5

Solve for x

x =\sqrt 5

4 0
3 years ago
In trapezoid EFGH, EF ≅ HG. What is the measure of the angle between Elm Street and Pine Avenue?
m_a_m_a [10]
Angle E is 72 degrees
6 0
4 years ago
Read 2 more answers
An automobile salesman receives a monthly bonus cheque if his commission income is at least $6,800.00 in a given month. There ar
Reika [66]

The salesman earns $850 per automobile he sells.

Since x represents the amount of automobiles the salesman sells, we can apply the commission as a coefficient to this variable. Therefore, the total commission that the salesman earns can be represented by $850x.

The bonus cheque is only received if the salesman's commission income is <em>at least </em>$6,800. 'at least' means that the salesman can still receive the cheque if his commission is exactly $6,800. The sign that we can use for this situation is the greater than or equal to sign, ≥.

The inequality that shows the commission income needed for the cheque is $850x ≥ $6,800. However, this question asks for the number of automobiles the salesman must sell to get the cheque.

Divide both sides by $850, as that represents his sales from one commission:

x ≥ 8

The inequality x ≥ 8 represents the amount of automobiles the salesman will need to sell to get the bonus cheque.

6 0
3 years ago
Peter drive 320 miles in 8 hours . calculate his average speed .
Ad libitum [116K]

Answer: 40

Step-by-step explanation:

You will take the miles he drove and divided it by the time it took him to get there

320/8=40

6 0
4 years ago
Read 2 more answers
Factor the following binomial using the difference of squares?<br> (49x^2 – 9)
Elis [28]
I think the answer is (7x-3)(7x+3)
3 0
3 years ago
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