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garri49 [273]
3 years ago
8

If a 36-foot tree casts a 28-foot shadow at the same time near by building casts a 70-foot shadow, how tall is the building?

Mathematics
2 answers:
swat323 years ago
8 0
The building is 78 feet tall.
Arada [10]3 years ago
7 0
Actual length / shadow ratio is equal
Let the height of the building be x, then
36/28 = x/70
x = (36 x 70)/28 = 2,520/28 = 90.

Therefore, the height of the building is 90 feet.
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In the diagram, ΔGHJ ≅ ΔSTU.
Anna007 [38]

Step-by-step explanation:

angle J is also 67 deg since the triangle is an isosceles triangle

angle T is 67 deg since the 2 triangles are congruent

angle G = 180 - 2x67 = 46 deg

ST is 5cm

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3 0
2 years ago
What is the distance between (-6,8) and (-3,9)
gayaneshka [121]

Answer:

I would say it is close to 4, but not 4.

Step-by-step explanation:

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square root of 10 = 3.1

square root of 15 = 3.8

The picture is my graph I used to base it, so I would generally consider how close it is to 4 saying C. Square root of 10.

(I only chose 3.1 because I went up on the graph 3 squares with my line. It did not quite reach. I went 1/10(0.1) of a whole up further, and it resulted in the <em>square root of 10</em> choice.)

4 0
3 years ago
8x − 4y = −16 <br> 3x + 15y = −6
mr_godi [17]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
Find the sum of (x+5), (-4x-2), and (2x-1)<br><br> Show your work please
Papessa [141]
Sum means add
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7 0
3 years ago
Read 2 more answers
Write an equation in slope intercept form for the graph below
labwork [276]

Answer:

y = 10x

Step-by-step explanation:

Finding the slope (m) of the line the following points in the line, (0, 0) and (2, 20):

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{20 - 0}{2 - 0} = \frac{20}{2} = 10

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Substitute m = 10 and b = 0 in y = mx + b

The equation in slope-intercept form for the graph would be:

✅y = 1x + 0

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8 0
3 years ago
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