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Rufina [12.5K]
3 years ago
9

Pete is standing 4 feet away from a mirror on the ground. Pete is 6 feet tall and can just see the top of the tree in the mirror

from where he is standing. The two triangles formed in the picture above are similar.
If the mirror is 16 feet away from the base of the tree, how tall is the tree?

a. 18 ft
b. 10 ft
c. 24 ft
d. 15 ft
Mathematics
2 answers:
Murljashka [212]3 years ago
5 0
It’s option c, 24ft.
Sedaia [141]3 years ago
3 0

Answer:

24ft

Step-by-step explanation:

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Solve the compound inequality. -2x<-10 and x-3<4​
BlackZzzverrR [31]

Answer:

x > -7/12. This is the answer to this question.

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3 years ago
2. A recipe for chicken marinade says, “Mix 3 parts oil with 2 parts soy sauce and 1 part orange juice.” If you need 42 cups of
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14x3 = 42

21x2=42

42x1=42

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for number 3,

90.

8 0
3 years ago
Rewrite 15 ^ 1/3 in radical form​
8_murik_8 [283]

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3 years ago
We wish to give a 90% confidence interval for the mean value of a normally distributed random variable. We obtain a simple rando
coldgirl [10]

Answer: (9.27025,\ 11.12975)

Step-by-step explanation:

Given : Sample size : n= 9

Degree of freedom = df =n-1 =8

Sample mean : \overline{x}=10.2

sample standard deviation : s= 1.5

Significance level ; \alpha= 1-0.90=0.10

Since population standard deviation is not given , so we use t- test.

Using t-distribution table , we have

Critical value = t_{\alpha/2, df}=t_{0.05 , 8}=1.8595

Confidence interval for the population mean :

\overline{x}\pm t_{\alpha/2, df}\dfrac{s}{\sqrt{n}}

90% confidence interval for the mean value will be :

10.2\pm (1.8595)\dfrac{1.5}{\sqrt{9}}

10.2\pm (1.8595)\dfrac{1.5}{3}

10.2\pm (1.8595)(0.5)

10.2\pm (0.92975)

(10.2-0.92975,\ 10.2+0.92975)

(9.27025,\ 11.12975)

Hence, the 90% confidence interval for the mean value= (9.27025,\ 11.12975)

6 0
3 years ago
8n^2-4(7m^3+5n^2)<br> help
Rasek [7]
Hello there!


8m² - 4(7m³ + 5n²)

You wanna start by using the distributive property

=8n² - (-4)(7m³) + (-4)(5n²)

= 8n² - 28m³ - 20n²

= -28m³ - 12m²
7 0
3 years ago
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