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dexar [7]
2 years ago
6

4. Janet wants to spend no more than $45 her friend's birthday gift. She already bought her a

Mathematics
1 answer:
Vera_Pavlovna [14]2 years ago
6 0

Answer:

Step-by-step explanation:

45=15+x

45-15=x

30=x

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Ms. Mwanted to estimate the height of the Republic Plaza building in downtown Denver. She has an app on
Volgvan

Answer:

<em>The height of the bullding is 717 ft</em>

Step-by-step explanation:

<u>Right Triangles</u>

The trigonometric ratios (sine, cosine, tangent, etc.) are defined as relations between the triangle's side lengths.

The tangent ratio for an internal angle A is:

\displaystyle \tan A=\frac{\text{opposite leg}}{\text{adjacent leg}}

The image below shows the situation where Ms. M wanted to estimate the height of the Republic Plaza building in downtown Denver.

The angle A is given by his phone's app as A= 82° and the distance from her location and the building is 100 ft. The angle formed by the building and the ground is 90°, thus the tangent ratio must be satisfied. The distance h is the opposite leg to angle A and 100 ft is the adjacent leg, thus:

\displaystyle \tan 82^\circ=\frac{h}{100}

Solving for h:

h = 100\tan 82^\circ

Computing:

h = 711.5 ft

We must add the height of Ms, M's eyes. The height of the building is

711.5 ft + 5 ft = 716.5 ft

The height of the building is 717 ft

7 0
3 years ago
Find the midpoint of the segment connecting (4,7) to (-2,3).
Vadim26 [7]

Answer:

<h2>Midpoint (1 , 5)</h2>

Step-by-step explanation:

Let (x , y) be the coordinates of the midpoint then:

x=\frac{4+(-2)}{2} = 1\\\\y=\frac{7+3}{2} =5

6 0
3 years ago
Round 36,700 to nearest 100
TEA [102]
36,700, it stays the same
8 0
3 years ago
5y + (86 - y) = 86 + 4y
Viefleur [7K]

Answer:

All real values, (-∞, ∞)

Step-by-step explanation:

<u>Step 1:  Distribute</u>

5y + (86 - y) = 86 + 4y

5y + 86 - y = 86 + 4y

<u>Step 2:  Combine like terms</u>

5y + 86 - y = 86 + 4y

4y + 86 = 86 + 4y

<u>Step 3:  Subtract 4y from both sides</u>

4y + 86 - 4y = 86 + 4y - 4y

86 = 86

<u>Step 4:  Subtract 86 from both sides</u>

0 = 0

Answer:  All real values, (-∞, ∞)

8 0
3 years ago
Read 2 more answers
A recipe calls for 3 1/4 cups of flour, evenly divided into two different bowls. How much flour should be put into each bowl?
mr_godi [17]

3 1/4 ÷ 2 = 1.625 or 1 5/8 cups of flour in each bowl.

6 0
3 years ago
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