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AfilCa [17]
2 years ago
9

Aman is standing 50 feet from the base of a building.

Mathematics
2 answers:
natita [175]2 years ago
4 0

Answer:

Step-by-step explanation:

lozanna [386]2 years ago
3 0

Step-by-step explanation:

To solve this you would use trigonometry. You would draw a triangle and mark the lower angle between the diagonal and horizontal line as 60. Then you would label the adjacent side as 50ft.

This means you are looking for the opposite and have the adjacent

To find the height you would do:

tan60 = Height÷50

Height = 50 tan60 = 86.6 feet (to 3 sf)

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The area of a triangle is 36 4/5 units squared and the height of the triangle 9 1/5 what is the length of the triangles base
den301095 [7]

Answer:

Height = 8 units

Step-by-step explanation:

Area of a triangle = 36\frac{4}{5} square units

                             = \frac{184}{5} square units

Height of the triangle = 9\frac{1}{5} units

                                    = \frac{46}{5} units

Formula to calculate the area of a triangle is,

Area = \frac{1}{2}(\text{Base})(\text{Height})

\frac{184}{5}= \frac{1}{2}\times (\frac{46}{5})\times (\text{Height})

\frac{184}{5}= (\frac{46}{10})\times (\text{Height})

Height = \frac{184}{5}\times \frac{10}{46}

           = \frac{368}{46}

           = 8 units

Therefore, height of the given triangle is 8 units.

6 0
2 years ago
Read 2 more answers
Find the sum of the positive integers less than 200 which are not multiples of 4 and 7​
taurus [48]

Answer:

12942 is the sum of positive integers between 1 (inclusive) and 199 (inclusive) that are not multiples of 4 and not multiples 7.

Step-by-step explanation:

For an arithmetic series with:

  • a_1 as the first term,
  • a_n as the last term, and
  • d as the common difference,

there would be \displaystyle \left(\frac{a_n - a_1}{d} + 1\right) terms, where as the sum would be \displaystyle \frac{1}{2}\, \displaystyle \underbrace{\left(\frac{a_n - a_1}{d} + 1\right)}_\text{number of terms}\, (a_1 + a_n).

Positive integers between 1 (inclusive) and 199 (inclusive) include:

1,\, 2,\, \dots,\, 199.

The common difference of this arithmetic series is 1. There would be (199 - 1) + 1 = 199 terms. The sum of these integers would thus be:

\begin{aligned}\frac{1}{2}\times ((199 - 1) + 1) \times (1 + 199) = 19900 \end{aligned}.

Similarly, positive integers between 1 (inclusive) and 199 (inclusive) that are multiples of 4 include:

4,\, 8,\, \dots,\, 196.

The common difference of this arithmetic series is 4. There would be (196 - 4) / 4 + 1 = 49 terms. The sum of these integers would thus be:

\begin{aligned}\frac{1}{2}\times 49 \times (4 + 196) = 4900 \end{aligned}

Positive integers between 1 (inclusive) and 199 (inclusive) that are multiples of 7 include:

7,\, 14,\, \dots,\, 196.

The common difference of this arithmetic series is 7. There would be (196 - 7) / 7 + 1 = 28 terms. The sum of these integers would thus be:

\begin{aligned}\frac{1}{2}\times 28 \times (7 + 196) = 2842 \end{aligned}

Positive integers between 1 (inclusive) and 199 (inclusive) that are multiples of 28 (integers that are both multiples of 4 and multiples of 7) include:

28,\, 56,\, \dots,\, 196.

The common difference of this arithmetic series is 28. There would be (196 - 28) / 28 + 1 = 7 terms. The sum of these integers would thus be:

\begin{aligned}\frac{1}{2}\times 7 \times (28 + 196) = 784 \end{aligned}.

The requested sum will be equal to:

  • the sum of all integers from 1 to 199,
  • minus the sum of all integer multiples of 4 between 1\! and 199\!, and the sum integer multiples of 7 between 1 and 199,
  • plus the sum of all integer multiples of 28 between 1 and 199- these numbers were subtracted twice in the previous step and should be added back to the sum once.

That is:

19900 - 4900 - 2842 + 784 = 12942.

8 0
3 years ago
Point Q’ is the image of Q (3,-4) under a reflection across the x-axis
7nadin3 [17]

Answer:

Q' (-3,4)

Step-by-step explanation:

A reflection across the x-axis would mean that only the x value of the point would change. This means that the y value would still be 4. To find the x value, just flip it to a negative. The negative of 3 is -3

5 0
3 years ago
Read 2 more answers
Help please thank you!
Harrizon [31]

Answer:b

Step-by-step explanation:ur welcome

6 0
2 years ago
What is the surface area of this right rectangular prism?
vagabundo [1.1K]

Answer:

A≈32\frac{3}{10}ft²

--

To find the surface area of a right rectangular prism you must use this formula A=2(wl+hl+hw)

Then plug in your variebles

A=2( 1.33*1.5+5+1.5+5+1.33)

This comes out to be A≈32 \frac{3}{10}

4 0
2 years ago
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