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Stels [109]
2 years ago
10

Michael wants to find the length of the shadow of a tree. He measures the height of a fencepost and the length of the shadow it

casts. The fencepost is 3.5 feet tall, and its shadow is 10.5 feet long. Next, Michael measures the height of the tree, and finds it is 6 feet tall. How long is the shadow of the tree?
Mathematics
1 answer:
zmey [24]2 years ago
4 0
The shadow of the tree is about 17.955 feet long.
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What does this graph tell you about the price of almonds?
liraira [26]

Answer:

<h2>2.3 pound costs 45 cents</h2>

Step-by-step explanation:

That point on the graph shows it. $0.45 for the cost, 2.3 for the pounds.

I'm always happy to help :)

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3 years ago
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Please help! Dont get it wrong pls
Vaselesa [24]

Answer:

5.4 > x > 2.8

Step-by-step explanation:

Sum of two sides is always greater than the third side

Case1 :

4.1 + 1.3 > x

5.4 > x

Case2:

4.1 + x > 1.3 or 1.3 + x > 4.1

x > 1.3 - 4.1 or x > 4.1 - 1.3

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Note that it is obvious x is not -ve so neglect -2.8. x > 2.8

Hence,

5.4 > x > 2.8

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3 years ago
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Use prime factors to determine the HFC of 90 and 126​
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Highest common prime factor is three

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2 years ago
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Vending machines can be adjusted to reject coins above and below certain weights. The weights of legal U.S. quarters have a norm
tigry1 [53]

Answer: The percentage of legal quarters will be rejected by the vending machine = 2.275%

Step-by-step explanation:

Given: The weights of legal U.S. quarters have a normal distribution with a mean of 5.67 grams and a standard deviation of 0.07 gram.

Let x be the weights of legal U.S. quarters .

Required probability: P(x5.81)

=P(\dfrac{x-\mu}{\sigma}\dfrac{5.81-5.67}{0.07})\\\\=P(z2)\approx0.02275    \ \ \ [By\  P-value\ calculator]

The percentage of legal quarters will be rejected by the vending machine = 2.275%

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2 years ago
Select the correct answer from each drop-down menu. the four vertices of an inscribed quadrilateral divide a circle in the ratio
AleksandrR [38]

The four angles of a quadrilateral are  30°, 60°, 150°, and 120°  if the four vertices of an inscribed quadrilateral divide a circle in the ratio 1:2:5:4.

<h3>What is quadrilateral?</h3>

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We have the four vertices of an inscribed quadrilateral divide a circle in the ratio:

1:2:5:4

Let the sides of the quadrilateral be x, 2x, 5x, 4x.

We know the sum of all angles of quadrilateral = 360°

x+2x+5x+4x=360

12x = 360

First angle, x = 30°

Seconds angle, 2x = 2×30 ⇒ 60°

Third angle, 5x = 5×30 ⇒ 150°

Fourth angle, 4x = 4×30 ⇒ 120°

Thus, the four angles of a quadrilateral are  30°, 60°, 150°, and 120°

Learn more about the quadrilateral here:

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