In ΔXYZ, ∠Y=90° and ∠X=40°. ∠ZWY=51° and XW=600. Find the length of ZY to the nearest integer.

Answers

Answer 1

The image of the triangle is missing so i have attached it.

Answer:

ZY ≈ 391

Step-by-step explanation:

From the attached image, ∠WZY = 180 - (51 + 90) = 39°. Because ΔWYZ is a right angle triangle and sum of angle in a triangle = 180°

Now, similarly ∠XZY = 180 - (40 + 90) = 50°

Using sine rule, we can find WZ;

WZ/sin 40 = XW/sin 50

We are given XW = 600

Thus;

WZ = (600 × sin 40)/sin 50

WZ = 503.5

Now, ZY can be found using trigonometric ratios;

ZY/WZ = sin 51°

Thus;

ZY = 503.5 × sin 51

ZY ≈ 391

In XYZ, Y=90 And X=40. ZWY=51 And XW=600. Find The Length Of ZY To The Nearest Integer.

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Answer:

x = 4

Step-by-step explanation:

Area of a parallelogram = base times height

Given area = 40

Given height = 4

Given = x + 6

Thus,

40 = 4 * (6 + x )

Step 1 distribute the 4

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we now have 40 = 24 + 4x

step 2 subtract 24 from each side

40 - 24 = 16

24 - 24 cancels out

now we have 16 = 4x

step 3 divide each side by 4

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To check our work, we can plug in the value of x and find the area of the parallelogram then. If it equals 40 the x = 4 is true.

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* substitute 4 for x *

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Step-by-step explanation:

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Step-by-step explanation:

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[tex]8\sqrt{2}[/tex]Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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The number of unit cones required t make a rectangular prism of the dimension given is obtained by calculating the volume of the rectangular prism:

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A hardware store has one basket with 40 pairs of slip-joint pliers. 5 of the 40 pairs are 6-inch slip-joint pliers. A second basket contains 20 rubber mallets. 3 of the 20 rubber mallets are small rubber mallets. What is the probability of picking a pair of 6-inch slip-joint pliers and not drawing a small rubber mallet?

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Answer:

[tex]\frac{85}{800}[/tex] or [tex]\frac{17}{160}[/tex] simplified

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Step-by-step explanation:

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Answers

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==========================================================

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HELP!!!!
I am thinking of two numbers. When I add them I get 14. When I take one from the other, I get 6. What is the larger number?

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Your answer will be 7 hope this helps

Answer:

Hi!

Question:I am thinking of two numbers. When I add them I get 14. When I take one from the other, I get 6. What is the larger number?

Answer: 7

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