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Vladimir79 [104]
2 years ago
12

PLEASE HURRY Madison is investing her money at a local bank. She is depositing \$10,000 at a simple interest rate of 7.5% for 5

years. How much interest will she earn ?
Mathematics
1 answer:
olasank [31]2 years ago
5 0
A = 10000(1 + (0.075 × 5)) = 13750
A = $13,750.00
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convert answer into yards (divide by 36)
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A park ranger has 32 feet of fencing to fence four sides of a rectangular recycling site. What is the greatest area of recycling
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State whether or not the following triangles are similar. If not, explain why not. If so, write a similarity statement
valentinak56 [21]

9514 1404 393

Answer:

  a) ∆RLG ~ ∆NCP; SF: 3/2 (smaller to larger)

  b) no; different angles

Step-by-step explanation:

a) The triangles will be similar if their angles are congruent. The scale factor will be the ratio of any side to its corresponding side.

The third angle in ∆RLG is 180° -79° -67° = 34°. So, the two angles 34° and 67° in ∆RLG match the corresponding angles in ∆NCP. The triangles are similar by the AA postulate.

Working clockwise around each figure, the sequence of angles from lower left is 34°, 79°, 67°. So, we can write the similarity statement by naming the vertices in the same order: ∆RLG ~ ∆NCP.

The scale factor relating the second triangle to the first is ...

  NC/RL = 45/30 = 3/2

__

b) In order for the angles of one triangle to be congruent to the angles of the other triangle, at least one member of a list of two of the angles must match for the two triangles. Neither of the numbers 57°, 85° match either of the numbers 38°, 54°, so we know the two triangles have different angle measures. They cannot be similar.

7 0
3 years ago
A clock has a diameter of 16 inches. How far does the hour hand travel during 5 hours? Use 3.14 for pi.
Karo-lina-s [1.5K]

Therefore the hour hand travels 40.192in in 5 hours

<h3>
How to calculate the area of a sector</h3>

A sector is said to be a part of a circle made of the arc of the circle along with its two radii.

The formula for calculating the area of a sector is expressed as;

A = r²β/2

where

r is the radius of the circle

β is the angle subtended

Since the the hour hand travel during 5 hours, the subtended angle by the sector will be;

β = 360/5

β = 72 degrees

Given the following parameters

r = 16/2

r = 8in

Substitute into the formula

A = 8²(72π)/360
A = 40.192in

Therefore the hour hand travels 40.192in in 5 hours

Learn more on area of a sector here: brainly.com/question/22761976

#SPJ1

8 0
1 year ago
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