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Black_prince [1.1K]
3 years ago
11

A drawing has a scale 1/4 in: 12ft. How long is 8ft?

Mathematics
1 answer:
allochka39001 [22]3 years ago
4 0
If you use a proportion, you'll get:

\frac{0.25}{12} =  \frac{x}{8}

Then, you use cross products:

12x=0.25(8) \\ 12x=2

Then, you algebraically solve x:

12x=2 \\ \frac{12x}{12} =  \frac{2}{12}  \\ x= \frac{5}{3}

The answer is 5/3 inches , or 1 5/13 inches, or 1.6 repeating.
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Find the side lengths ! help pls
sergeinik [125]

(a) the given triangle is a isosceles triangle, therefore the two leg sides will be congruent, as well as the two base angles. It is given that one of the base angles ∠XYW is 70°, therefore, due to the law of a isosceles triangle, the measurement of ∠XWY is also 70°. Remember, a triangle's interior angles add up to 180°, so:

180 - (70 + 70) = 180 - 140 = 40

40° is your answer.

m∠X = 40°

(b) All sides are congruent, making it a equilateral triangle. If it is a equilateral triangle, then all the angles also have the same measurement. The total of the interior angle's measurement is 180°. Divide by the amount of angles, 3:

180/3 = 60

60° is your answer.

m∠V = 60°

~

7 0
3 years ago
The equation for line r can be written as y=-1/4x+3. Line s which is parallel to lone r includes the point (-4,3). What is the e
MaRussiya [10]

Answer:

y=-\frac{1}{4}x+2

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form:y=mx+b where m is the slope and b is the y-intercept (the value of y when x is 0)
  • Parallel lines always have the same slope

<u>1) Determine the slope of line S using line R (m)</u>

y=-\frac{1}{4} x+3

We can identify clearly that the slope of the line is -\frac{1}{4}, as it is in the place of m. Because parallel lines always have the same slope, the slope of line S would also be -\frac{1}{4}. Plug this into y=mx+b:

y=-\frac{1}{4}x+b

<u>2) Determine the y-intercept of line S (b)</u>

y=-\frac{1}{4}x+b

Plug in the given point (-4,3) and solve for b

3=-\frac{1}{4}(-4)+b\\3=1+b

Subtract 1 from both sides to isolate b

3-1=1+b-1\\2=b

Therefore, the y-intercept is 2. Plug this back into y=-\frac{1}{4}x+b:

y=-\frac{1}{4}x+2

I hope this helps!

6 0
2 years ago
3x-6y=15<br> -3x-9y=-30<br><br> Please help!! Its due in 30 minutes!!
olchik [2.2K]

Step-by-step explanation:

Refer to the attachment.

I hope it helps:)

3 0
3 years ago
Please answer and explain.
almond37 [142]
Hi there!

10. the number: x

4 more = addition 

5 times = multiplication

less then 54 = 54 >

4 + 5x = <54


Hope this helps!

4 0
3 years ago
Hurry please!!! Fast response
AlladinOne [14]

Answer:

A.

SA= \frac{2}{3} \pi rl+16 \pi r^2

Step-by-step explanation:

Surface area of the original cone

SA= \pi r l + \pi r^2... (1)

When, radius is quadrupled and slant height is reduced to one sixth

i. e. \: \:r = 4r\: \: \&\:\: l= \frac{1}{6}l

Plug the above values of r and l in equation (1), new surface area becomes:

SA= \pi (4r)\times \frac{1}{6} l+ \pi (4r)^2

SA= \frac{4}{6} \pi rl+16 \pi r^2

\huge \purple {\boxed {SA= \frac{2}{3} \pi rl+16 \pi r^2}}

8 0
2 years ago
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