# Scarlett is trying to find the height of a dam. She stands 90 meters away from the dam and records the angle of elevation to the top of the dam to be 26º. Scarlett's height is 1.65 meters, so the height of the dam is

The opposite side, y, is the height of the dam less 1.65 m

The base or adjacent side is 90 m

The angle between the two sides is 90 m.

Then tan (26) = y / 90

y = 90 tan(26) = 90 (0.4877) = 43.90 m

The height of the dam is 43.90m + 1.65m = 45.55 m

## Related Questions

4. When we say pythagorean triple, this would consists of three positive integers a, b, and c, such that a2 + b2 = c2. So for the given numbers above, the set that is considered a pythagorean triple would be B. 8, 15, 17.

5. The correct answer for this question would be option D. It cannot be determined whether the triangle is obtuse, acute or right if the given values are the side lengths. It should be angles. Hope this answer helps.

For f(x)=2x+1 and g(x)=x^2-7, find (f-g)(x)

(f-g)(x)=2x+1-(x^2-7)

(f-g)(x)=2x+1-x^2+7

(f-g)(x)= -x^2+2x+8

**Answer with explanation:**

In a triangle sum of two sides , should always be greater than the third side.

Sides of the given triangle are, 3 x cm, 7 x cm and h cm.

1.

3 x + 7 x > h

**→ 10 x > h**

2.

3 x+ h > 7 x

→h > 7 x -3 x

**→h> 4 x**

3.

7 x + h > 3 x, which will be always true.

Combining 1, 2 and 3 we get

**→4 x < h < 10 x**

**Option A**

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Part A. $10 x 40 hours= $400 ($10x = W) X=

**40 hours a week**

Part b. $10 x 40 hours = $400 + $15 x Y=S ($10x=$400 +$15y=S) Y= number of hours overtime. Since he gets $15 for working more than 40 hours you take the number of hours over time and multiply it by 15.

Part c. Now that he made $490 in 1 week you know that he worked for 40 hours at a rate of $10 an hour. But that's only $400, so we need to figure out 15 times what is equal to 90. 15 times six is equal to 90 which means that Drey worked for

**46 hours**

True or false Volume can be measured in liters or cubic meters.

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Line Segment

E) part of a line that has two endpoints

Plane

D) a flat surface that extends infinitely and has no thickness

Perpendicular Lines

B) two lines that intersect at 90° angles

Line

A) a series of points that extend in two directions without end

Parallel Lines

C) lines that lie in the same plane and do not intersect

Hope this answers the question. Have a nice day.

The **real** answers are **A** and **D**, but not C

f(x) = P(1 + r)^x

Now we can solve.

Given:

P = 2000

r = -0.06

f(x) = 2000 (1 - 0.06)^x

= 2000 (0.94)^x

2000 (0.94)¹² =

2000 (0.476) =

The answer is

**951.8 square kilometers.**

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If the equilibrium interest rate in the money market is 5%, then at an interest rate of 2% sellers of interest-bearing financial assets greater than interest rates to find willing buyers.

180 = 7x+3 + 3x-6 + c

c = 180 - (7x+3 + 3x-6)

c = 180 - (10x - 3)

c = 177 - 10x

Hope this answers the question. Have a nice day.

Find the multiplicative inverse of 6 + 2i.

First thing to do is get rid of the i. Multiplying by 6 - 2i will do this

( 6 + 2i)(6 - 2i) = 6^2 - (2i)^2 = 36 - 4(-1) = 36 + 4 = 40

Dividing by 40 gets you 1

(6 + 2i) (6-2i)/40 = 1

**The answer is (6 - 2i)/40 = (3 - i)/20**

I hope my answer has come to your help. God bless and have a nice day ahead!

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Which one is bigger 60% of 90 or 1/2 pa 100?

1/2 of 100 = 100/2 = 50

So, as 54 > 50, 60% of 90 > 1/2 of 100

**So, your answer is 60% of 90 is bigger!**

Hope this helps!

Convert 1.50 μm² to square meters.

1∙5µm² = ? m²

1m * 1m = 1m²

But 1m = 1,000,000µm = 1x10^6µm

1x10^6µm * 1x10^6µm = 1m²

1x10^12µm² = 1m² (Now, divide both sides by 1x10^12).

1x10^12µm² /(1x10^12) = 1m² /(1x10^12)

1µm² = 0∙000 000 000 001 m² (x both sides by by 1∙5).

1∙5µm² = 0∙000 000 000 0015 m²

**1∙5µm² = 1∙5x10^-12 m²**

I hope my answers has come to your help. God bless and have a nice day ahead!

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we know that

__The triangle inequality theorem__ states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

so

Let

a,b,c------> the length sides of a triangle

The theorem states that three conditions must be met

__case 1)__

__case 2)__

__case3)__

therefore

__the answer is the option__

**B. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.**

z1 = (165 - 150)/15 = +1

z2 = (135 - 150)/15 = - 1

According to the Empirical Rule 68-95-99.7

Mean +/- 1SD covers 68% of the values

100% - 68% = 32%

The remaining 32% is equally distributed below z = - 1 and z = +1

32%/2 = 16%

Therefore,

a) Number of men weighing more than 165 pounds = 16% of 1000 = 160

b) Number of men weighing less than 135 pounds = 16% of 1000 = 160

How many meters are in 7.2 kilometers?

Then, 7.2 Km = 7.2 * 1000 m = 7200 m

**So, your final answer is 7200 m**

Hope this helps!

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A laptop computer sells for $850. the sales tax is 7%. what is the total cost of the laptop?

**Answer:**

$909.50

**Step-by-step explanation:**

$850 x 7% = $59.50 (tax amount)

850 x (1+ 0.07) = $909.50

90/3 : (2 1/2)/3

30 : (2 1/2)/3

30 : (5/2)/(3/1)

30 : 5/2*1/3

30 : 5/6

30km in 50 mins

90 : 2 1/2

90/(2 1/2) : (2 1/2) / (2 1/2)

90/(2 1/2) : 1

(90/1)/(5/2) : 1

(90/1)*(2/5) : 1

180/5 :1

36:1

Multiply each side by 2:

72:2

72 km in 2 hours

Hope this helps :)

The price p of an icecream is $3.95 plus $0.85 for each topping t on the ice cream

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**Answer:**

(-1,3)

**Step-by-step explanation:**

**Answer:**

**C.$ 623**

**Step-by-step explanation:**

We are given that Sophia is saving money for a new bicycle.

The bicycle will cost atleast $623.

Sophia makes $8.22 per hour.

We have to find the inequality that could be used to find the number of hours Sophia needs to work to make enough money to buy a new bicycle.

Let Sophia works h hours to make enough money to buy a new bicycle.

Sophia makes money per hour =$8.22

Total money made by Sophia in h hours =

According to question

**$623**

**Hence, option C is true.**

we have

Combine like terms

therefore

__the answer is the option C__

He combined the terms and incorrectly

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hen, 12 m = 100 * 12 = 1200 cm

**So, your final answer is 1200 cm**

Hope this helps!

Find the value of 3x + 2 when 7+ x = 5

x= 5-7

x= -2

3.(-2)+2

-6+2

-4

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Find all the zeros of the function y=x^3+6x^2+x+6

one more thing X= not real solution

**Answer with Step-by-step explanation:**

The volume of cone is given by:

V=

Where r is the radius of cone and h is height

r=d/2 where d is the diameter

Hence, here r=5 in.

height is twice its radius ⇒ h=10 in.

V=

V=261.66 in³

**Hence, Volume of cone is:**

**261.66 in³**

Find sinx2, cosx2, and tanx2 from the given information.sin(x) = 513, 0° < x < 90°

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