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gizmo_the_mogwai [7]
3 years ago
11

Just #10 please!! Due soon too!!

Mathematics
2 answers:
Finger [1]3 years ago
6 0
Answer: 378 square feet

=========================================================

Explanation:

The goal is to find the area of the overall trapezoid (trapezoid MNRS)

To do this, we need three things:
A) The bottom horizontal length NR
B) The top horizontal length MS
C) The height of the trapezoid; the vertical distance from the bottom horizontal piece to the vertical horizontal piece

We don't know (A) but we know (B). The length of MS is 18 ft
We don't know (C), but we can find it fairly easily

Area of triangle TPQ = 84
84 = (base)*(height)/2
84 = 12*h/2
84*2 = 12*h
168 = 12*h
12h = 168
h = 168/12
h = 14

The height of triangle TPQ is 14 feet
The height of trapezoid MNRS is 14 feet

The hardest part will be figuring out the length of NR

We're told that NP, PQ and QR are in a ratio of 2:1.5:1
this means 
NP = 2*k
PQ = 1.5*k
QR = 1*k
where k is some positive number

From the diagram we see that PQ is 12 ft, so
PQ = 1.5k
1.5k = 12
k = 12/1.5
k = 8
leading to...
NP = 2*k = 2*8 = 16
PQ = 1.5*k = 1.5*8 = 12
QR = 1*k = 1*8 = 8

So,
NR = NP+PQ+QR
NR = 16+12+8
NR = 36

We finally have enough to find the area of the trapezoid
area of trapezoid = (height)*(base1+base2)/2
area of trapezoid = (14)*(18+36)/2
area of trapezoid = (14)*(54)/2
area of trapezoid = 756/2
area of trapezoid = 378 square feet


STALIN [3.7K]3 years ago
5 0
A triangle would always equal 180 degrees,”.
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galben [10]
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x^2=117-36
x^2=81
x=sqrt81
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6 0
3 years ago
What is the length of the shadow cast by a 12-foot lamp post when the angle of elevation of the sun is 60º? (to the nearest tent
elena-s [515]

Answer:

6.9 foot.

Step-by-step explanation:

Given: Length of lamp post= 12-foot.

           The angle of elevation of the sun is 60°.

∴ The length of Lamp post, which is opposite is 12-foot.

  Now, finding the length of shadow cast by foot lamp.

Length of shadow is adjacent.

∴ We know the formula for Tan\theta= \frac{Opposite}{adjacent}

Next, putting the value in the formula.

⇒ Tan 60° = \frac{12}{adjacent}

Cross multiplying both side and using the value of Tan 60°

∴ Adjacent= \frac{12}{\sqrt{3} } = 6.92 ≅ 6.9 (nearest tenth value)

6.9 is the length of shadow cast by a 12-foot lamp post.

3 0
3 years ago
Which graph shows a negative rate of change for the interval 0 to 2 on the x-axis
Lena [83]

Answer:

-2

Step-by-step explanation:

3 0
3 years ago
Solve for k please help!!!
grin007 [14]
Answer: k = 59°

Steps:
180 - 77 = 103

103 + 18 + k = 180
121 + k = 180
k = 180 - 121
k = 59

Check:
103 + 18 + k = 180
103 + 18 + 59 = 180
180 = 180 ✅
8 0
3 years ago
Read 2 more answers
Measuring Units Worksheet 2 Convert the following measurements. 1 a. 4.13 cm = mm 2 a. 486 cm = m 3 a. 4.2 m = cm 4 a. 706 cm =
DaniilM [7]

Answer:

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  3. 420 cm
  4. 7.06 m
  5. 2.2 cm
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  7. 255 cm
  8. 79 cm
  9. 46.9 mm
  10. 3.29 m

Step-by-step explanation:

7 0
3 years ago
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