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Arte-miy333 [17]
3 years ago
10

1) 15^2=4^2+2(32)x 2) 105=45+5x

Mathematics
1 answer:
forsale [732]3 years ago
8 0

① 15² = 4² + 2(32) x
225 = 16 + 64x
-64x = 16 - 225
-64x = -209
x = 209/64

② 105 = 45 + 5x
-5x = 45 - 105
-5x = -60
x = 60/5
x = 12

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Trigonometry:
Trava [24]

A. The approximate height of the building is 100 m

B. We can use the arc length formula to obtain an approximation of BC since angle A is small.

A.

The approximate height of the building is 100 m

To find the approximate height of the building, we consider the diagram.

From the diagram, we have that using trigonometry,

tanA = BC/AB

Now

  • A = 0.05 radians,
  • BC = height of building and
  • AB = 2 km = 2000 m
<h3 /><h3>Finding the value of BC</h3>

So, making BC subject of the formua, we have

BC = ABtanA

Substituting the values of the variables into the equation, we have

BC = ABtanA

BC =2000tan0.05

BC = 2000 × 0.05

BC = 100 m

So, the approximate height of the building is 100 m

B.

We can use the arc length formula to obtain an approximation of BC since angle A is small.

<h3 /><h3>Arc Length Formula</h3>

We know that the arc length formula L = rФ where

  • r = radius and
  • Ф = angle in radians
<h3 /><h3>The approximate height</h3>

Now BC = ABtanA

We know that Ф ≅ tanФ when Ф is small.

<h3 /><h3>The comparison</h3>

So, BC = AB × A which is the arc length formula with

  • L = BC,
  • r = AB and
  • Ф = A

So, we can use the arc length formula to obtain an approximation of BC since angle A is small.

Learn more about approximate height of building here:

brainly.com/question/3144976

7 0
2 years ago
HELP ASAP!!!
erastova [34]

Answer:

560

Step-by-step explanation:

560÷210+÷90138 which makes the answer

5 0
2 years ago
15% of an amount is30 calculate the whole amount
Irina-Kira [14]

Answer:

200

Step-by-step explanation:

of an amount is 30. Calculate the whole amount using two different strategies, one of which must include a pictorial model. 15% = = The whole quantity is 200.

3 0
2 years ago
Read 2 more answers
I’ve done this 3 different way and I’m still getting it wrong someone help I feel dumb
Olegator [25]
<h3>Answer: 13,011.11 dollars</h3>

note: remember to take the comma out or ignore it. I put it in there to help make the number more readable

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

Explanation:

Let x be the value of the sale in dollars.

x-1900 represents the leftover amount that is over 1900

eg: if x = 2200, then x-1900 = 2200-1900 = 300 is the the leftover amount

taking 9% of (x-1900) leads to the expression 0.09(x-1900) and this expression must be 1000 since this is the extra amount of money the salesman needs (he already has $1000 in base pay)

-------------

Solve for x

0.09(x-1900) = 1000

x-1900 = 1000/0.09

x-1900 = 11,111.11111 approximately

x = 11,111.11111 + 1900

x = 13011.1111

x = 13,011.11 rounding to the nearest cent

4 0
3 years ago
Who can help me PLEASE <br><br>Instruction find the measure of the missing angles in the kite​
mojhsa [17]

Both the angles will be 105°

Just add up the given angles, subtract the result by 360, and divide by 2.

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