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2 years ago

Find the hypotenuse of each isosceles right triangle when the legs are of the given measure.

Mathematics

1 answer:

gtnhenbr [62]2 years ago

3 0

Answer:

if its an isosceles triangle, and both sides are congruent (of same length), they are hypotenuse.

thus, hypotenuse = 3√2 or 4.24 inches

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An architect is constructing a model building by using a ratio os 1:300. If the height of the scale model is 3 1/2 inches what i

atroni [7]

$\bf \cfrac{model}{actual}\qquad 1:300\qquad \cfrac{1}{300}\qquad \qquad \cfrac{3\frac{1}{2}}{a}=\cfrac{1}{300}\implies \cfrac{\frac{3\cdot 2+1}{2}}{a}=\cfrac{1}{300}
\\\\\\
\cfrac{\quad \frac{7}{2}\quad }{a}=\cfrac{1}{300}\implies \cfrac{\quad \frac{7}{2}\cdot 300\quad }{1}=a\implies 1050=a$

7 0

3 years ago

James ran 4 laps and walked 2 laps When running his average speed was 2.5 minutes per lap When walking his average speed was 4.9

lutik1710 [3]

Answer:

19.8 minutes

Step-by-step explanation:

Total time the 4 laps was completed = 4 x 2.5 = 10 minutes

Total time the 2 laps was completed = 2 x 4.9 = 9.8 minutes

total time = 10 minutes + 9.8 minutes = 19.8 minutes

5 0

2 years ago

The gross domestic product is

Daniel [21]

I’m pretty sure that the answer is D

8 0

3 years ago

Three friends fill bags with trash at a neighborhood cleanup. Randall's bag weighs

BabaBlast [244]

Answer:

Randall picks up 68 pounds

Seth picks up 40 pounds

Joanna picks up 52 pounds

Step-by-step explanation:

Let us make an equation in x to find it

∵ Randall's bag weighs 3x - 7 pounds

∵ Joanna's bag weighs 2x + 2 pounds

∵ Seth's bag weighs 2x - 10 pounds

∵ Randall's and Joanna's bags weigh 3 times as much as Seth's bag

- That means add Randall's bag and Joanna's bag and equate

the sum by 3 times Seth's bag

∵ Randall's bag + Joanna's bag = 3(Seth's bag)

∴ (3x - 7) + (2x + 2) = 3(2x - 10)

- Simplify the two sides

∴ (3x + 2x) + (-7 + 2) = 3(2x) - 3(10)

∴ 5x + (-5) = 6x - 30

∴ 5x - 5 = 6x - 30

- Add 5 to both sides

∴ 5x = 6x - 25

- Subtract 6x from both sides

∴ -x = -25

- Divide both sides by -1

∴ x = 25

Substitute x by 25 in the weight of each bag

∵ Randall's bag weighs = 3(25) - 7 = 75 - 7

∴ Randall's bag weighs = 68 pounds

∵ Seth's bag weighs = 2(25) - 10 = 50 - 10

∴ Seth's bag weighs = 40 pounds

∵ Joanna's bag weighs = 2(25) + 2 = 50 + 2

∴ Joanna's bag weighs = 52 pounds

7 0

3 years ago

Read 2 more answers

Complete the sentences to describe the different levels of organization in living things.

alexandr1967 [171]

Answer:

A system is a group of organs that work together to perform a common function.

An organ is a group of tissues that work together to perform a common function.

An organism is a group of organ systems that work together to perform a common function.

A cell is a basic unit of structure and function of all living things.

A tissue is a group of cells that work together to perform a common function.

Step-by-step explanation:

The different levels of organization in living things are defined below from smallest to largest:

Cell is the smallest unit of life. It is the basic structural, functional, and biological unit for all living things.

Tissue is a group of cells working together to accomplish a special function. Examples of tissue are connective tissue, muscle tissue.

Organ is a group of tissues working together to perform a specific function. Examples of organs are heart, liver etc.

System is a group of organs working together to perform a particular task and provide stability to the body. Example is muscular system, nervous system etc.

Organism consists of a group of system working together to perform a specific function. An organism is a living thing with an organized structure

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2 years ago

Read 2 more answers