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Fofino [41]
3 years ago
14

Steven drew a scale drawing of a farm. The scale of the drawing was 7 centimeters = 1 meter. What is the drawing's scale factor?

Mathematics
1 answer:
muminat3 years ago
5 0

Answer: For every 7 centimeters it equals 1 meter. So if there is 5 meters, you would mulitiple 5 by 7 to get 35 centimeters and the same in vice versa. I hope this helps!!!!

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What is the exact value of sin 45° ?<br><br>enter your answer, as a simplified fraction.
Ne4ueva [31]

Look at the picture.

Use the Pythagorean theorem:

b^2=a^2+a^2\\\\b^2=2a^2\to b=\sqrt{2a^2}\\\\b=\sqrt{a^2}\cdot\sqrt2\\\\b=a\sqrt2

\sin\theta=\dfrac{opposite}{hypotenuse}\\\\\theta=45^o,\ opposite=a,\ hypotenuse=a\sqrt2

substitute

\sin45^o=\dfrac{a}{a\sqrt2}=\dfrac{1}{\sqrt2}\cdot\dfrac{\sqrt2}{\sqrt2}=\dfrac{\sqrt2}{2}

Answer: \sin45^o=\dfrac{\sqrt2}{2}

7 0
3 years ago
Factor 64v^3 + 192v^2 -56v - 168​
Kaylis [27]

Hello from MrBillDoesMath!

Answer:

8(v+3) ( -1/2 (sqrt(14) - 4 v) (4 v + sqrt(14)) )


Discussion:

Given

64v^3 + 192v^2 - 56 v - 168      

Factor 64v^2 from the first two terms. Factor 56 from the last two terms:

64v^2(v+3) - 56(v  + 3)     => factor (v+3) from both terms

(v+3) (64v^2 - 56)             => factor 8 from both terms in the right ()

8(v+3)(8v^2-7)                   => factor 8y^2-7

8(v+3) ( -1/2 (sqrt(14) - 4 v) (4 v + sqrt(14)) )



Thank you,

MrB

4 0
3 years ago
A line goes through the point (6,-2) and has a slope of -3. What is the value of a if the point (a,7) lies on the line?​
Vikki [24]

Answer:

<h2>a = 3</h2>

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

m =  \frac{ y_2 - y _ 1}{x_ 2 - x_ 1}  \\

From the question the slope is - 3

To find the value of a we have

- 3 =  \frac{7 -  - 2}{a - 6}  \\  - 3 =  \frac{7 + 2}{a - 6}  \\  - 3(a - 6) = 9 \\  - 3a + 18 = 9 \\  - 3a = 9 - 18 \\  - 3a =  - 9

Divide both sides by - 3

\frac{ - 3a}{ - 3}  =  \frac{ - 9}{ - 3}  \\

We have the final answer as

<h3>a = 3</h3>

Hope this helps you

3 0
3 years ago
Read 2 more answers
The seventh grade class is putting on a variety show to raise money. It cost $700 to rent the banquet hall that they are going t
tatuchka [14]

Well because they want 1000 dollars profit they need the inequality "15x is greater than or equal too 1700 dollars" But overall if you divide 1700 by 15 and round up on the decimal you get 114. So 114 is your answer.

4 0
3 years ago
5th grade math. Correct answer will be marked brainliest!
nexus9112 [7]
0 in a tenths place and rounded the ones to 7. Rounded to the nearest 10th is 7
6 0
3 years ago
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