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Anna [14]
2 years ago
6

Triangle Z W X is shown. Angle Z W X is a right angle. An altitude is drawn from point W to point Y on side Z X to form a right

angle. The length of W X is b, the length of X Y is a, the length of Y Z is 5, and the length of W Y is 6. What is the approximate value of b, rounded to the nearest tenth? 7.2 units 7.8 units 8.6 units 9.4 units
Mathematics
1 answer:
sashaice [31]2 years ago
3 0

Answer:

b = 9.1units

Step-by-step explanation:

Find the diagram attached

Using the similarity theorem of triangle

WX/XZ = WY/WX

Substitute;

b/a+5 = 6/b

b² = 6(a+5) ... 1

Also according to pythagoras theorem on triangle WYX;

b² = 6²+a²...2  

Equate 1 and 2

6(a+5) = 6²+a²

6a+30 = 36 + a²

a²-6a+36-30 = 0

a²-6a+6 = 0

a = 6±√36+4(6)/2

a = 6±√60/2

a = 6±7.745/2

a = 13.745/2

a = 6.8725

Recall that

b² = 6²+a²

b² = 36+6.8725²

b² = 83.2313

b = 9.12units

b = 9.1units

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i dont know Sierra studied for 7 and William studied for 3

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in triangle TVY the measure of angle T is 20 The measure of angle V is 25 The measure of angle W Is 135 what is combined measure
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Step-by-step explanation:

Replace the variables in with your angle measurements and add them up. Triangles should end up with a 180° all combined.

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Answer: The slope is 2

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Find the volume and surface area of this shape
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171.65

Step-by-step explanation:

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2

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7 0
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Read 2 more answers
Jake’s measures the height of a tree to be 74 3/8
goblinko [34]

I'm assuming the question is asking how tall the tree is if it has grown 2 3/4 inches.

The initial height of the tree is 74 3/8 inches and it grows 2 3/4 inches after six months. We can add these two numbers together to calculate the height of the tree now.

74\frac{3}{8} + 2\frac{3}{4}

Since these are both mixed numbers, we must find a common denominator to add our fractions. 8 is the lowest common denominator for 4 and 8. So:

74\frac{3}{8} + 2\frac{6}{8}

We can now add our whole numbers up (74 + 2) and add the numerators of the fractions together to get a single fraction (\frac{3}{8} + \frac{6}{8}).

74 + 2 = 76

\frac{3}{8} + \frac{6}{8} = \frac{9}{8}

Putting these two together, we get 76 \frac{9}{8}, which is equal to 77\frac{1}{8}.

We can also turn this answer into an improper fraction. This is done by multiplying the whole number by the denominator and adding the numerator. So in this case:

77 x 8 = 616

616 + 1 = 617

The denominator stays the same, so our answer as an improper fraction would be \frac{617}{8}.

So the tree is 77\frac{1}{8} inches tall, or \frac{617}{8} inches tall.

7 0
2 years ago
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