All categories

3 years ago

Find the missing side of each triangle. Leave your answers in simplest radical form.

Mathematics

1 answer:

chubhunter [2.5K]3 years ago

6 0

Answer:

Missing side = x = 12.04 mi / √145 mi.

Step-by-step explanation:

<h3>Given :- </h3>

Perpendicular = 9 mi

Base = 8 mi

And Hypotenuse = missing side = x

<h3>Solution :- </h3>

Now substitute the values

➟ ( 9 mi ) ² + ( 8 mi ) ² = x²

Simplify the values

➟ 81 mi ² + 64 mi ² = x ²

Add the values

➟ 145 mi ² = x ²

Finding , the root of 145 mi ²

➟ √145 mi ² = x

➟ 12.04 mi = x

Therefore, The missing side of the triangle is 12.04 mi / √145 mi.

You might be interested in

Write an expression that represents the volume of a cube with side length 2x^3. (For any cube with side length s, v = s^3 = s.s.

leva [86]

Answer:

C. 8x^9

Step-by-step explanation:

(2x³)³=8x^9

5 0

3 years ago

A chemical spill is leaking into a river flowing 2 3/4 miles per hour. How long will it take the chemicals to reach a town locat

ExtremeBDS [4]

Answer:

$6\frac{3}{11}=6.27$ hours.

Step-by-step explanation:

We have been given that a chemical spill is leaking into a river flowing 2 3/4 miles per hour.

To find the time taken by chemical to reach the town we will divide distance of town from the spill by distance covered by chemical spill in one hour.

$\text{Time taken by chemical to reach the town}=17\frac{1}{4} \div 2\frac{3}{4}$

Upon converting our mixed fractions into improper fractions we will get,

$\text{Time taken by chemical to reach the town}=\frac{69}{4} \div \frac{11}{4}$

Dividing a fraction with another fraction is same as multiplying first fraction by the reciprocal of second fraction.

$\text{Time taken by chemical to reach the town}=\frac{69}{4}\times \frac{4}{11}$

After cancelling out 4 we will get,

$\text{Time taken by chemical to reach the town}=\frac{69}{11}$

$\text{Time taken by chemical to reach the town}=6\frac{3}{11}$

$\text{Time taken by chemical to reach the town}=6.272727\approx 6.27$

Therefore, it will take the chemicals $6\frac{3}{11}=6.27$ hours to reach the town.

5 0

3 years ago

A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally likely to be rolled.

tatuchka [14]

1/12. There are 12 possibilities, and only one number under 2.

5 0

3 years ago

Select the descriptions that are true of the equation y - 6= - 3(x+2). Select all that apply.

Lapatulllka [165]

The point-slope form:

$y-y_1=m(x-x_1)$

We have

$y-6=-3(x+2)\to y-6=-3(x-(-2))$

Therefore

<h3>slope = -3 and the point (-2, 6)</h3>

------------

2x - y = 4 <em>it's standard form Ax + By = C</em>

y = 2x - 4 <em>it's slope-intercept form y = mx + b</em>

y - x = 4 →<em> </em>x - y = -4 <em>t's standard form Ax + By = C</em>

3 0

4 years ago

The number 199,557 contains two sets of digits in which one digit is ten times as great as the other. What are the values of the

Naddika [18.5K]

Ok I understand how you were confused by how they worded it but the two types of digits that are the same are the 9 in the thousands place and the nine in the ten thousands place.
The digit that is ten times bigger than the other is the 9 in the ten thousands place. I already toldyou the values I n each place.

5 0

3 years ago