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3 years ago

Find the length of the third side. If necessary, round to the nearest tenth.

Mathematics

1 answer:

almond37 [142]3 years ago

7 0

Answer:

The length of the third side is 9.

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

12² + b² = 15²

144 + b² = 225

√b² = √81

b = 9

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27 is 30% of what number? Set up and solve<br> proportionally. Show all your work.

Semmy [17]

Answer:

the answer is 90 (typing more to reach the limit)

7 0

3 years ago

If a rectangle is r feet long and s feet wide, which expression represents the length of its diagonal in terms of r and s? A r

riadik2000 [5.3K]

The length of its diagonal in terms of r and s is √r² + s²

In order to get the length of the diagonal of a triangle, we will use the Pythagoras theorem:

Pythagoras theorem states that the sum of the square of the diagonal is equal to the sum of the square of the other two sides.

Given the following

Length = r feet

width = s feet

The diagonal "l" will be expressed as;

l² = r² + s²

Take the square root of both sides

√l² = √r² + s²

l = √r² + s²

Hence the length of its diagonal in terms of r and s is √r² + s²

Learn more here: brainly.com/question/11929455

8 0

3 years ago

At the park there a pool shaped like a circle. A - shaped path goes around the pool. Its inner diameter is 18 yd and its outer d

Hoochie [10]

Answer:

46 gallons

Explanation:

First, we need to calculate the area of the path. This area can be calculated as the difference between the area of the outer circle and the area of the inner circle. The area of a circle is equal to

$A=\pi r^2$

Where r is the radius. For the outer circle, the diameter is 28 yd, so the radius is equal to

radius = diameter/2

radius = 28 yd/2

radius = 14 yd

Then, the area of the outer circle is

$\begin{gathered} A=(3.14)(14\text{ yd\rparen}^2 \\ \text{ A = \lparen3.14\rparen\lparen196 yd}^2) \\ A=615.44\text{ yd}^2 \end{gathered}$

In the same way, the radius of the inner circle is

radius = diameter/2

radius = 18 yd/2

radius = 9 yd

Then, the area is

$\begin{gathered} A=(3.14)(9\text{ yd\rparen}^2 \\ A=(3.14)(81\text{ yd}^2) \\ A=254.34\text{ yd}^2 \end{gathered}$

So, the area of the path is

Area path = 615.44 yd² - 254.34 yd²

Area path = 361.1 yd²

Now, we know that one gallon can cover 8 yd², so we can calculate the number of gallons as

$361.1\text{ yd}^2\times\frac{1\text{ gallon}}{8\text{ yd}^2}=45.14\text{ gallons}$

Therefore, the number of gallons is 46 because we need to round the result to a whole number.

8 0

2 years ago

Graph the linear equation x= - 5

Grace [21]

Answer:

that would be a vertical line (parallel to the y axis) that passes through -5 on the X axis

Step-by-step explanation:

just a straight line that goes through x = -5. if you're still confused it would also go through the point (-5, -5) a straight vertical line

5 0

3 years ago

Read 2 more answers

5. g(x) = 7x, find g(-7)

kompoz [17]

Answer:

just plug in

g(x)=7x

g(-7)=7*(-7)

7*(-7)=-49

Step-by-step explanation:

3 0

3 years ago