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larisa86 [58]
3 years ago
8

The base of a triangle measures 6 inches less than its height. If the area of the triangle is 20 square inches, find the base an

d height using the formula A= 1/2bh

Mathematics
1 answer:
ikadub [295]3 years ago
7 0

Answer:

height = 10 inches

base = 6 inches

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To calculate the cost of painting his silo, a farmer must find its height. The farmer uses a cardboard square to line up the top
tankabanditka [31]

Answer:

Height of the silo = 18 feet.

Step-by-step explanation:

From the figure attached BC is the length of the silo and the height of the farmer is 5 ft.

Farmer is standing at 8 ft distance from the silo.

From triangle AEC,

tan(∠CAE) = \frac{CE}{AE}

                 = \frac{5}{8}

m(∠CAE) = tan^{-1}(\frac{5}{8})

               = 32°

m∠BAE = 90° - 32° = 58°

From the triangle ABE,

tan58° = \frac{BE}{AE}

BE = 8tan58°

BE = 12.8 ft

Total height of the silo = BE + EC

                                         = 12.8 + 5

                                         = 17.8

                                         ≈ 18 ft          

Therefore, total height of the silo is 18 ft.

3 0
3 years ago
-4x+5 + -13x+39=180 angle measure
mylen [45]

Step-by-step explanation:

−4x+5−13x+39=180

Step 1: Simplify both sides of the equation.

−4x+5−13x+39=180

−4x+5+−13x+39=180

(−4x+−13x)+(5+39)=180(Combine Like Terms)

−17x+44=180

−17x+44=180

Step 2: Subtract 44 from both sides.

−17x+44−44=180−44

−17x=136

Step 3: Divide both sides by -17.−17x

−17

=

136

−17

x=−8

Answer:

x=−8

5 0
3 years ago
The figure is not drawn to scale.
Goryan [66]

Answer:

93°, 89°, 93°

Step-by-step explanation:

∠1 and ∠4 are supplementary angles:

m∠1 + m∠4 = 180°; m∠1 = 93°

∠2 and ∠4 are vertical angles:

m∠2 = m∠4 = 87°

∠3 and ∠4 are supplementary angles:

m∠3 + m∠4 = 180°; m∠3 = 93°

4 0
3 years ago
Read 2 more answers
Which of the following best describes how to find the circumcenter of a triangle?
guapka [62]

Answer: B

Step-by-step explanation: :)

3 0
3 years ago
5х + 34 = -2 (1 - 7x) help me solve it step by step !
nataly862011 [7]

5x+34=-2(1-7x)

Steps:

5x+34=-2+14x
5x+34-14x= -2
-9x + 34= -2
-9x = -2-34
-9x = -36
X= -36/-9


Answer: x= 4

6 0
3 years ago
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