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konstantin123 [22]
2 years ago
11

Hays builds model sailboats as a hobby. the dimensions of the sailboats are given. what is the height, x, of the smaller sailboa

t's sail? enter your a
Mathematics
2 answers:
Solnce55 [7]2 years ago
6 0
7/8=x/12
Answer is 10.5
enot [183]2 years ago
4 0

The question is incomplete. Here is the complete one.

Hays build model sailboats as a hobby. The dimensions of the sailboats are given. What is the height, x, of the smaller sailboat's sail? Enter your answer, as a decimal, in the box. x = in. Two sailboats with sails that are right triangles.  The top angle on the sails are marked congruent to each other. The smaler sail has a a height of x and a base of 7 inches. The lareger sail has a height of 12 inches and a base of 8 inches.

Answer: x = 10.5 in

Step-by-step explanation: When two triangles are congruents it means it has the same three sides and same three angles. In the question, the two sails have the same sides and their proportions are:

\frac{7}{8} = \frac{x}{12}

x = \frac{12.7}{8}

x = \frac{84}{8}

x = 10.5

The height <u>x</u> of the smaller sail is <u>x = 10.5 in</u>.

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4vir4ik [10]

Given:

The measure of three sides of a triangle are 8, 7 and 14.

To find:

The measure of the angle opposite the side of length 8.

Solution:

According to the Law of Cosine:

\cos A=\dfrac{b^2+c^2-a^2}{2bc}

Let a=8, b=7 and c=14, then by using Law of Cosine, we get

\cos A=\dfrac{7^2+14^2-8^2}{2(7)(14)}

\cos A=\dfrac{49+196-64}{196}

\cos A=\dfrac{181}{196}

Taking cos inverse on both sides.

A=\cos^{-1}\dfrac{181}{196}

A=22.561328

A\approx 22.6

Therefore, the measure of the angle opposite the side of length 8 is 22.6 degrees.

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2 years ago
A truck rental company rents a moving truck One Day by charging $39 + 0.09 per mile write a linear equation that relates the cos
Ivanshal [37]

Answer:

(a)\ c(x) = 39 + 0.09 x

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Step-by-step explanation:

Given

Base\ Charge = \$39

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The total charges (c(x)) is: the base charge + the rate * number of miles (x).

So, we have:

c(x)= 39 + 0.09 * x

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This implies that x = 160

So, we have:

c(x) = 39 + 0.09 x

c(160) = 39 + 0.09 *160

c(160) = 39 + 14.4

c(160) = 53.4

7 0
2 years ago
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zalisa [80]

Answer:

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