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Masja [62]
3 years ago
15

If a 5 foot post casts an 8 foot shadow at the same time that a nearby tree casts a 48 foot shadow how tall is the tree

Mathematics
1 answer:
andriy [413]3 years ago
3 0
The first thing we are going to assume for this case is that the tree and the post are located in the same place.
 From that place, both cast a shadow in the same direction.
 We then have two similar triangles.
 Therefore, we have the following relationship:
 \frac{x}{48} = \frac{5}{8}
 From here, we clear the value of x.
 We have then:
 x = \frac{5}{8} *48
 Rewriting:
 x=30
 Answer:
 
the tree is 30 feet tall
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Gary wants to buy a video game with a selling price of $48, on sale for 50% off. The sales tax in his state is 4.5%. How much wi
Anna [14]

Answer:

$25.20

Step-by-step explanation:

First, take the 50% off the sales price:

($48)*(-0.50) = -$24.

($48 - $24) = $24 sale price.

Tax on $24 is ($24)*(0.05) = $1.20

Add the price and sales tax:

$24 + $1.20 = $25.20

5 0
3 years ago
Help me<br> On this pleaseee
Evgen [1.6K]
2 rectangle shaped
1) Length = 160 mi ; Width = 40 mi
2) Length = 440 mi - 160 mi ; Width = 240 mi - 70 mi

1 triangle shape
1) base = 70 mi ; height = 440 mi - 160 mi

Area Rectangle 1 = 160 mi * 40 mi = 6,400 mi²
Area Rectangle 2 = 280 mi * 170 mi = 47,600 mi²
Area Triangle 1 = ((440 mi - 160 mi) * 70mi)/2 = (280mi * 70mi)/2 = 9,800 mi²

Total Area = 6,400 mi² + 47,600 mi² + 9,800 mi² = <span>63,800 mi²</span>
4 0
4 years ago
A college student with a bachelors degree in nursing from an accredited institution has an 86.74% chance of getting hired full t
Vladimir79 [104]

Answer:

86.74% probability of a Madonna University nursing student getting hired within 6 months of graduation given that they complete their degree here.

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

Compute the probability of a Madonna University nursing student getting hired within 6 months of graduation given that they complete their degree here.

In this problem, we have that:

Event A: Completing their degree there.

There is a 34.72% chance of a student interested in a nursing degree not making it through the program.

So 100 - 34.72% = 65.28% = 0.6528 probability of completing their degree. So P(A) = 0.6528.

Event B: Getting hired

86.74% chance of getting hired full time in a hospital setting within 6 months of graduation.

Completing their degree and getting hired:

P(A \cap B) = 0.6528*0.8674

Probability:

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.6528*0.8674}{0.6528} = 0.8674

86.74% probability of a Madonna University nursing student getting hired within 6 months of graduation given that they complete their degree here.

5 0
3 years ago
An equivalent fraction for 10/14 is _____.
Ira Lisetskai [31]

\dfrac{10}{14}=\dfrac{10:2}{14:2}=\dfrac{5}{7}\\\\\dfrac{10}{14}=\dfrac{10\cdot2}{14\cdot2}=\dfrac{20}{28}\\\\\dfrac{10}{14}=\dfrac{10\cdot3}{14\cdot3}=\dfrac{30}{42}\\\\\dfrac{10}{14}=\dfrac{5}{7}=\dfrac{5\cdot5}{7\cdot5}=\dfrac{25}{35}\\\vdots

6 0
3 years ago
Read 2 more answers
2+2 ..................................needed 20 characters
Sloan [31]

Answer:

plese mark me brainlist

Step-by-step explanation:

thankyou and have nice day

7 0
3 years ago
Read 2 more answers
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