All categories

2 years ago

A service station will be built on the highway, and a road will connect it with cray. How long will the new road be?

Mathematics

1 answer:

maxonik [38]2 years ago

7 0

Answer:

46.2 mi is the right answer.

Step-by-step explanation:

In this question we will follow the property of congruence of two triangles.

Here two triangles formed are triangle formed by Alba, Cray and Blare and a triangle formed by Service station, Cray and Blare.

The distance between Alba and Blare = 130 mi

The distance between Alba and Cray = 120 mi

As we know in the congruent triangles all sides are in the same ratio.

Now we apply the property of the theorem

$\frac{Distance(Alba-Cray)}{Distance(Alba-Blare)}= \frac{Distance(Cray-Service station)}{Distance(Cray-Blare)}$

$\frac{120}{130}=\frac{x}{50}$

$x=50\frac{120}{130}$

x = 46.2 mi

You might be interested in

Given sin A = 12/13 and that angle A is in Quadrant 1,

UkoKoshka [18]

We have been given that $\text{sin}(A)=\frac{12}{13}$ and angle A is in quadrant 1. We are asked to find the exact value of $\text{cot}(A)$ in simplest radical form.

We know that sine relates opposite side of right triangle with hypotenuse.

$\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}$

This means that opposite side is 12 units and hypotenuse is 13 units.

We know that cotangent relates adjacent side of right triangle with adjacent side.

$\text{cot}=\frac{\text{Adjacent}}{\text{Opposite}}$

Now we will find adjacent side using Pythagoras theorem as:

$\text{Adjacent}^2=\text{Hypotenuse}^2-\text{Oppoiste}^2$

$\text{Adjacent}^2=13^2-12^2$

$\text{Adjacent}^2=169-144$

$\text{Adjacent}^2=25$

Let us take positive square root on both sides:

$\sqrt{\text{Adjacent}^2}=\sqrt{25}$

$\text{Adjacent}=5$

Therefore, adjacent side of angle A is 5 units.

$\text{cot}(A)=\frac{5}{12}$

Therefore, the exact value of cot A is $\frac{5}{12}$ .

5 0

2 years ago

someone what is the answer to this. I got it wrong and what to do what the answer really is and please be 100 sure with your ans

zubka84 [21]

That would be 12<x
Its not 12 > x because that means that 12 is greater than x which is the same thing as x < 12.
Hope it helps

6 0

2 years ago

What is the mode for the set of data? 6,7,10,12,12,13 10 12 13 11

KonstantinChe [14]

12
because it is the only number that appears more than once which is basically the definition of mode.

4 0

2 years ago

Least to greatest 2/9, 21%, 0.21, 11/50

miv72 [106K]

2/9=22%
21%
21%
22%

So it would be 21%, 0.21, 11/50, 2/9.

4 0

2 years ago

Read 2 more answers

A line with a slope of 0 passes through the point (-5, 6) . what is its equationin slope -intercept form?

IrinaVladis [17]

$y = 6$
the equation is the horizontal line which parts through (-5,6), since it has no slope.

3 0

3 years ago