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Simora [160]
3 years ago
15

A bird was sitting 8 meters from the base of an oak tree and flew 10 meters to reach the top of the tree. How tall is the tree?

Mathematics
2 answers:
alina1380 [7]3 years ago
5 0
100=64-x^2
36=x^2
X=6 meters
kolezko [41]3 years ago
5 0

Answer: 6

Step-by-step explanation:

From the information provided

adjacent = 8 hypotenuse = 10

opposite =?

Let opposite = x

Using the pythagoras theorem

opp² + adj² = hyp²

x² + 8² = 10²

x² + 64 = 100

subtract 64 from bothside

x²+ 64-64 = 100 - 64

x² = 36

Take the square root of bothside

√x² =√36

x = 6

The height of the tree is 6

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The quality control manager of a soda manufacturing company wishes to use a significant level of 0.05 to test whether the variab
Alex17521 [72]

Answer: 1.645

Step-by-step explanation:

Given : The quality control manager of a soda manufacturing company wishes to use a significant level of 0.05 to test whether the variabilities in the amount of soda in the company's 16 OZ bottles is more than the variabilities in the company's 12 OZ bottles.

Let \sigma_1^2 represents the variance for 16 OZ bottles and \sigma_2^2 represents the variance for 12 OZ bottles.

The Null and Alternative Hypothesis will be  :-

H_0:\sigma_1^2\geq\sigma_2^2

H_1:\sigma_1^2, since alternative hypothesis is left-tailed , then the test is left-tailed test.

By using the standard normal distribution table for z, the critical value for this hypothesis:-

z_{\alpha}=z_{0.05}=1.645

6 0
4 years ago
Read 2 more answers
an isosceles triangle has angle measures of 55, 55, and 70. the side across the 70 degree angle is 10 inches long. how long are
Shtirlitz [24]

Answer:

The other sides of triangles are 8.72 in and 8.72 in

Step-by-step explanation:

 In a triangle ABC. Please find the attachment for figure.

\angle A=70^{\circ}

\angle B=\angle C=55^{\circ}

Side BC=a = 10 in

Using sine law of trigonometry,

\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}

Substitute the given value into formula.

\dfrac{10}{\sin 70}=\dfrac{b}{\sin 55}=\dfrac{c}{\sin 55}

\dfrac{10}{\sin 70}=\dfrac{b}{\sin 55}

Cross multiply and we get

b=\sin 55\times \dfrac{10}{\sin 70}

b=8.72 in

It is a isosceles triangle. Therefore, b=c=8.72 in

Hence, The other sides of triangles are 8.72 in and 8.72 in

7 0
3 years ago
WHY CAN'T ANYONE HELP ME? 1. In Michigan, the sales tax rate is 6%. Suppose that an item costs $50.88 including tax. How can we
Aliun [14]

Answer: $48

Step-by-step explanation:

From the question, we are told that in Michigan, the sales tax rate is 6% and that an item costs $50.88 including tax.

Let the cost of the item before tax be x. This means that x plus 6% of x equals to $50.88. This can be mathematically expressed as:

x + (6% of x) = $50.88

x + (6/100 × x) = $50.88

x + (0.06 × x) = $50.88

x + 0.06x = $50.88

1.06x = $50.88

When then divide by the coefficient of x

1.06x/1.06 = #50.88/1.06

x = $48

The price before the tax is $48

7 0
3 years ago
A linear function has an x-intercept of 12 and a slope of StartFraction 3 Over 8 EndFraction. How does this function compare to
ehidna [41]

Answer:

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Step-by-step explanation:

god bless you all and the answer is ........2 (sry I'm not sure)

8 0
3 years ago
A blueprint for a house has a scale of 1:10. A wall in the blueprint is 8 in. What is the length of the actual wall?
SashulF [63]
You can remove your cofusion regarding wall in the blue print whether to be cosidered in inch or ft , be sure, it has to be in inches to be considered , with the scale of 1: 10 and specific mention of length of the wall 8 in , we have to cosider length of wall : 8 inch x 10 inch / 1 scale = 80 inches ( and not 80 ft ) , and in terms of ft it would be = 80 inches / 12 inches per ft = 6.6666 ft
8 0
3 years ago
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