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3 years ago

What is the area of the triangle? 16 8 10

Mathematics

1 answer:

sertanlavr [38]3 years ago

3 0

Answer:

Step-by-step explanation:

Find the area of both triangles inside the bigger triangle and add them together.

Use the Pythagorean theorem to find the missing length of the leg in the smallest triangle:

a² + b² = c²

8² + b² = 10²

64 + b² = 100

36 = b²

6 = b

Calculate the area of the smaller triangle:

1/2(bxh)

1/2(6 x 8)

1/2(48)

Calculate the area of the bigger triangle:

We know that the longer leg is 10 units because we were able to subtract the length of the smaller triangle's leg from 16.

1/2(bxh)

1/2(10 x 8)

1/2(80)

Add both areas to find the area of the largest triangle:

40 + 24 = 64

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36 is what percent of 200

Andrews [41]

Answer:

Step-by-step explanation:

I used a percentage calculator to get you the best answer possible. :) Have a nice day!

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4 years ago

Blake is 28 years younger than Linda. 6 years ago, Linda's age was 2 times Blake's age. How old is Blake now?

PIT_PIT [208]

Blake is now 34 apparently

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3 years ago

In 2008, the average household debt service ratio for homeowners was 13.2. The household debt service ratio is the ratio of debt

ankoles [38]

Answer:

$t=\frac{13.88-13.2}{\frac{3.14}{\sqrt{44}}}=1.436$

$df=n-1=44-1=43$

$p_v =P(t_{(43)}>1.436)=0.079$

We see that the p value i higher than the significance level so then we FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly higher than 13.2 *the value of 2008 ).

Step-by-step explanation:

Information given

$\bar X=13.88$ represent the sample mean

$s=3.14$ represent the sample standard deviation

$n=44$ sample size

$\mu_o =13.2$ represent the value that we want to test

$\alpha=0.05$ represent the significance level

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test

Hypothesis to test

We want to conduct a hypothesis in order to check if the true mean has increased from 2008 , and the system of hypothesi are:

Null hypothesis: $\mu \leq 13.2$

Alternative hypothesis: $\mu > 13.2$

The statistic for this case is:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Calculating the statistic

Replacing the info given we got:

$t=\frac{13.88-13.2}{\frac{3.14}{\sqrt{44}}}=1.436$

P-value

The degrees of freedom are:

$df=n-1=44-1=43$

Since is a right tailed test the p value is:

$p_v =P(t_{(43)}>1.436)=0.079$

Decision

8 0

4 years ago

Horace read 160 pages in 4 hours. How many pages can he read in 6 hours??

Rashid [163]

160/4 = p/6

Cross-multiply the propportion:

160 x 6 = 4p

Divide each side by 4:

p = 40 x 6 = 240 pages

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3 years ago

Read 2 more answers

Sara bought 6 fish. Every month the number of fish she has doubles. After m months she will have F fish, where as. How many fish

Luda [366]

Answer:

Step-by-step explanation:

In one month, 6 fish

If it doubles every month, then in the 2nd month, there will be 12 fish

7 0

3 years ago