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adelina 88 [10]
3 years ago
14

Please help me out :)

Mathematics
1 answer:
NeTakaya3 years ago
5 0
1. D
2.B
3.A
4. D i think i can’t really see that question
5.C
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A source of laser light sends rays AB and AC toward two opposite walls of a hall. The light rays strike the walls at points B an
____ [38]

Answer: 70  meters.

Step-by-step explanation:

Observe the figure attached.

The distance between the walls is:

DE=AD+AE

<em />

Both triangles are right triangles. Therefore, you can calculate the distance  between the walls as following:

- Calculate the distance AD:

cos\alpha=\frac{adjacent}{hypotenuse}\\\\cos(60\°)=\frac{AD}{60}\\AD=30m

- Calculate the distance AE:

tan\beta =\frac{opposite}{adjacent}\\\\tan(45\°)=\frac{40}{AE}\\\\AE=\frac{40}{tan(45\°)}\\\\AE=40m

Therefore the distance between the walls is:

DE=30m+40m=70m

6 0
3 years ago
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∠AZB and ∠CZB are supplementary. The m∠AZB = 2x - 4 and m∠CZB = 8x + 4. What is the measure of each angle?
g100num [7]
The answer is A because when you add the angles to get they equal 180. Then just solve for x.

The drawing isn't to scale

7 0
3 years ago
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Angelica reads 15 pages of a book each day. In 10 days, she reads 200 pages. Assume the relationship is linear. Find and interpr
Phantasy [73]

Given:

Angelica reads 15 pages of a book each day.

In 10 days, she reads 200 pages.

Assume the relationship is linear.

To find:

The rate of change and initial value.

Solution:

The slope intercept form of a linear function is:

y=mx+b            ...(i)

Where m is the slope and b is the y-intercept.

Angelica reads 15 pages of a book each day. So, the rate of change is 15 pages per day and m=15.

In 10 days, she reads 200 pages. It means the linear relation passes through the point (10,200).

Putting x=10,y=200,m=15 in (i), we get

200=15(10)+b

200=150+b

200-150=b

50=b

So, the y-intercept is 50. It means the initial number of pages angelica already read is 50.

Therefore, the rate of change is 15, it means Angelica reads 15 pages per day. The y-intercept is 50, it means the initial number of pages angelica already read is 50.

5 0
3 years ago
The ratios of the measures of the angles in a triangle is 3:10:7. Find the measure of the smallest angle. Just write the numeric
Burka [1]
Answer to written question:
3x + 10x + 7x = 180
Combine like terms
20x = 180
Divide by 20
x = 9
Smallest angle 3x = 3*9 = 27 degrees

Answer to question in picture:
30/6x-2 = 36/5x + 13
Cross multiply
30(5x + 13) = 36(6x-2)
Distribute
150x + 390 = 216x - 72
Subtract 150x
390 = 66x - 72
Add 72
462 = 66x
Divide by 66
x = 7
5 0
3 years ago
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-3x + 2y = 21<br> -4x + y = 23
Nady [450]

Answer:

2y = 3x + 21

y = 1.5x + 10.5

plug in, in the second equation

- 4x + (1.5x + 10.5) = 23

-4x + 1.5x + 10.5 = 23

-2.5x + 10.5 = 23

-2.5x = 12.5

x = 12.5/-2.5 = -5

y = 1.5 (-5) + 10.5 = 3

x = -5

y = 3

5 0
3 years ago
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