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RUDIKE [14]
3 years ago
13

A.

Mathematics
1 answer:
Pepsi [2]3 years ago
4 0

Answer:

(a)Attached

(b)69 degrees

(b)The ladder is safe

Step-by-step explanation:

(a)See attached diagram

The wall is length |AB| and the ladder is length |AC|

(b)

sin \theta =\dfrac{|AB|}{|AC|} \\sin \theta =\dfrac{14}{15}\\\theta=arcsin (\dfrac{14}{15})\\\theta=69^\circ

(c)Jamie wants the angle of the ladder makes with the ground to be no greater than 75 degrees for safety reasons.

Since the angle formed between the ground and the ladder (69 degrees) is less than 75 degrees, the ladder is safe the way it is positioned.

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Rodger has 47 cars . Can he group the cars in more than two ways?
deff fn [24]
First of all, Rodger must be making some serious cash to have 47 cars. Going back to the question, he can not group the cars in more than 2 ways. He can only group it in 1 way, 47 groups of 1. Pls brainliest
4 0
3 years ago
Melanie read 45 pages out of 100 page book her younger sister read half of a 10 page book who read a greater fraction of her boo
Alexxandr [17]
Melanie’s sister read a greater fraction:

melanie
45/100 = 45%

melanie’s sister
5/10 = 50%

50% > 45%
8 0
3 years ago
Read 2 more answers
Surface area and volume of a regular triangular pyramid that has a base edge of 16 cm and a slant height of 15 cm
Schach [20]

Answer:

a) Surface area = 616 cm²

b) Volume = V = 1083 cm³

Step-by-step explanation:

Surface area and volume of a regular triangular pyramid that has a base edge of 16 cm and a slant height of 15 cm

a) Formula for surface area = Base area × 1/2(perimeter × slant height)

Base area = Base edge²

=( 16 cm)² = 256 cm²

Perimeter = Base edge × 3

= 16 cm × 3 = 48 cm

Hence:

Surface Area = 256 cm² + 1/2(48 × 15)

= 256 cm² + 360 cm²

= 616 cm²

b) Volume = 1/3 × Base area × Height

1082.758616785cm³

Approximately = 1083 cm³

8 0
3 years ago
Simplify (3x2 - 5x + 3) + (-3x2 + 5x - 3).
zepelin [54]

Answer:

(9 -5x) + (-9 +5x)

Step-by-step explanation:

-Three times two is six plus three is nine

-Negative three times two is negative six minus three which is negative nine

4 0
3 years ago
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If you invest $5,000 at 1.8 percent for 5 years, compounded quarterly, what is the amount in the
Drupady [299]

Answer: C. $5,470

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $5000

r = 1.8% = 1.8/100 = 0.018

n = 4 because it was compounded 3 times in a year(12/4 = 3 times)

t = 5 years

Therefore,

A = 5000(1 + 0.018/4)^4 × 5

A = 5000(1 + 0.0045)^20

A = 5000(1.0045)^20

A = $5470 to the nearest whole number

4 0
3 years ago
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