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3 years ago

4. What are the values of x and y? HELP PLEASE

Mathematics

1 answer:

Sergeeva-Olga [200]3 years ago

8 0

The bottom answer is correct. I had some trouble with this so I had to find x and y in separate parts.

TO FIND X
notice that the top triangle and bottom triangles are similar, meaning if you multiple all three sides of one by a specific number, it becomes the same size as the bottom triangle.

17 x n = 8, therefore n=8/17
8 x n = X, therefore X=64/17

For some reason, this does not give a correct value for Y, so I had to use trig

TO FIND Y

Notice that the angle DAB is the same as DBC (lets call this angle Ø)

Using trig rule, we know that the cos of an angle is equal to the adjacent side divided by the hypotenuses.

We can now form some equations:

cosØ = 15/17 (from the top triangle)
cosØ = 8/Y (from bottom triangle)
Now we know that Y=(8x17)/15 = 136/15

X=64/15 Y=136/15

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Answer:

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Step-by-step explanation:

We have been given that a silo is in the shape of a cone. The silo is 8 meters tall and it's base has a diameter of 3 meters. Soybeans cost $414 per cubic meter. We are asked to find the total cost to fill the silo with soybeans.

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We know that radius is half the diameter, so radius of silo would be $r=\frac{3}{2}=1.5$ .

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$\text{Volume of cone}=\frac{1}{3}\pi\times 2.25\text{ m}^2 (8)\text{ m}$

$\text{Volume of cone}=\pi\times 0.75\text{ m}^2 (8)\text{ m}$

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$\text{Total cost of soybeans}=\$414 \times 18.8495559$

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3 years ago

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Given:

In triangle DEF, HG is parallel to DF.

To find:

The value of x.

Solution:

In triangles DEF and GEH,

$\angle DE F\cong \angle GEH$ (Common angle)

$\angle EDF\cong \angle EGH$ (Corresponding angle)

$\Delta DE F\sim \Delta GEH$ (By AA property of similarity)

We know that corresponding sides of similar triangle are proportional.

$\dfrac{DE}{GE}=\dfrac{DF}{GH}$

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$x+14=2(x+5)$

$x+14=2x+10$

Isolating variable terms, we get

$x-2x=-14+10$

$-x=-4$

$x=4$

Therefore, the value of x is equal to 4.

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Answer:

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Given

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