Lines a and b are parallel.

A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 32 centimeters, and the le

nataly862011 [7]

Answer:

Step-by-step explanation:

You need the Pythagorean Theorem to solve this question. There is no be part.

Equation

c^2 = a^2 + b^2

Givens

a = 32

b = 21

c = ?

Solution

c^2 = a^2 + b^2 Substitute the values

c^2 = 32^2 + 21^2 Expand

c^2 = 1024 + 441 Combine

c^2 = 1465 Take the square root of both sides

√c^2 = √1465

c = 38.275

Answer: 38.3 rounded

6 0

2 years ago

1 7/10 x 2/3 what is the product

Ludmilka [50]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{1 \frac{2}{15}}}}}}$

Step-by-step explanation:

$\sf{1 \frac{7}{10} \times \frac{2}{3} }$

Convert the mixed number into improper fraction

$\longrightarrow{ \sf{ \frac{10 \times 1 + 7}{10} \times \frac{2}{3}}}$

$\longrightarrow{ \sf{ \frac{17}{10} \times \frac{2}{3}}}$

To multiply one fraction by another, multiply the numerators for the numerator, and multiply the denominator for its denominator and reduce the fraction obtained after multiplication into lowest term

$\longrightarrow{ \sf{ \frac{17 \times 2}{10 \times 3}}}$

$\longrightarrow{ \sf{ \frac{34}{30}}}$

$\longrightarrow{ \sf{ \frac{17}{15} }}$

Convert the improper fraction into mixed number

$\longrightarrow{ \sf{1 \frac{2}{15} }}$

Hope I helped!

Best regards! :D

7 0

3 years ago

What is the square root of 647

mars1129 [50]

Answer:

Step-by-step explanation:

Air pressure is measured in pascals. For a professional American football game, the ball should be inflated to about 90,000 pascals. Scientists studied the effects of air temperature on the pressure inside American footballs by taking these steps:

1. Prepare 100 footballs.

2. Measure each football's air pressure.

3. Divide footballs into 10 groups.

4. Place the groups in different lockers cooled to different air temperatures.

5. After 12 hours, remove the footballs from lockers.

6. Measure each football’s pressure again.

7. Compare the new pressures to the starting pressures.

What two terms best describe the variable "air pressure inside the football" in this experiment?

independent, qualitative

independent, quantitative

dependent, qualitative

dependent, quantitative

5 0

3 years ago

Read 2 more answers

Resuelve con calculadora y escribe la regla utilizada

Anna11 [10]

$36\times 100 = 3600\\\\8 \times 1000 = 8000\\\\5.6 \times 10 = 56\\\\5.6 \times 100 = 560\\\\5.6 \times 1000 = 5600\\\\2.12 \times 100 = 212$

When you multiply by 10, 100, or 1000, you must move the decimal place over by how many zeroes there are. Once there is no more decimals, you add 0's to the end of the number until you are done.

For example, 5.6 x 1000

1000 has 3 zeroes.

That means we need to move the decimal spot 3 times.

5.6 x 1000 = 56 x 100

We got rid of the decimal but we still have 2 zeroes left. So now we just add 2 zeroes at the end of the number.

5.6 x 1000 = 56 x 100 = 5600

I hope that helps! :)

6 0

3 years ago

If you were to take a cross section of a right circular cone parallel to its base, what shape would you get?

Leya [2.2K]

The cross section of a right circular cone parallel to its base is a circle.

<h3>What is a three dimensional shape?</h3>

A three dimensional shape is a shape that has length, width and height. Examples of three dimensional shapes are<em> cone, cylinder, prism and pyramid.</em>

A two dimensional shape is a shape that have both length and width. Examples of two dimensional shape are <em>circle, rectangle, square</em>.

A cone is a three-dimensional solid geometric shape having a circular base and a pointed edge at the top

The cross section of a right circular cone parallel to its base is a circle.

Find out more on three dimensional shape at: brainly.com/question/6636176

#SPJ1

3 0

2 years ago