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3 years ago

When the angle of elevation to the sun is 53 a tree casts a shadow that is 9 meter long. what is the height of the tree?

Mathematics

1 answer:

alexgriva [62]3 years ago

6 0

Tan (53) = tree height / 9 m
tree height = tan (53) * 9
tree height = 1.327 * 9
tree height = 11.943 meters

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horsena [70]

Answer:

390

Step-by-step explanation:

find the fraction of those that don't like math

10/10 - 7/10= 3/10

then do 3/10 x 1300 to get 390

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3 years ago

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Step-by-step explanation:

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2 years ago

Ten college students were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 a

solong [7]

Answer:

The 95% confidence interval for the true slope is (0.03985, 0.14206).

Step-by-step explanation:

For the regression equation:

$\hat y=\alpha +\hat \beta x$

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$Ci=\hat \beta \pm t_{\alpha/2, (n-2)}\times SE(\hat \beta )$

The regression equation for current GPA (Y) of students based on their GPA's when entering the program (X) is:

$\hat Y=3.584756+0.090953 X$

The summary of the regression analysis is:

Predictor Coefficient SE t-stat p-value

Constant 3.584756 0.078183 45.85075 5.66 x 10⁻¹¹

Entering GPA 0.090953 0.022162 4.103932 0.003419

The regression coefficient and standard error are:

$\hat \beta = 0.090953\\SE (\hat \beta)=0.022162$

The critical value of <em>t</em> for 95% confidence level and 8 degrees of freedom is:

$t_{\alpha/2, n-2}=t_{0.05/2, 10-2}=t_{0.025, 8}=2.306$

Compute the 95% confidence interval for $(\hat \beta )$ as follows:

$CI=\hat \beta \pm t_{\alpha/2, (n-2)}\times SE(\hat \beta )\\=0.090953\pm 2.306\times 0.022162\\=0.090953\pm 0.051105572\\=(0.039847428, 0.142058572)\\\approx (0.03985, 0.14206)$

Thus, the 95% confidence interval for the true slope is (0.03985, 0.14206).

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3 years ago

5, 10.5, 22.05, 46.305, If it is a geometric sequence, choose the common ratio. If it is not a geometric sequence, choose "not g

kifflom [539]

Answer:

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2.1

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⋅

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Geometric Sequence:

2.1

This is the form of a geometric sequence.

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and

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(

)

⋅

(

2.1

)

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Remove parentheses around

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Step-by-step explanation:

8 0

3 years ago

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Ira Lisetskai [31]

7x = 2x + 20
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3 years ago

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