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3 years ago

A teacher needs 70 lengths of string cut to 40cm each. If balls of string are 10 m long, how many balls will be needed.

Mathematics

1 answer:

Genrish500 [490]3 years ago

5 0

Answer:

Step-by-step explanation:

A ball is 10 meters. Since 100 centimeters are in a meter, each ball has 100*10 = 1000 centimeters.

The teacher needs 70 strings each 40 centimeters. The total amount they need is 70*40 = 2800 centimeters.

Since a ball has 1000 centimeters, 2800 centimeters will need 3 balls for a total of 3000 centimeters.

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Scientists in Florida are measuring the masses of sea turtles as they hatch. They create a line graph and plots the masses of 18

NeTakaya

Answer:

36 3/4

Step-by-step explanation:

12 1/4 + 12 1/4 + 12 1/4 = 36 3/4 :)

8 0

3 years ago

If a=2b^3 and b= -1/2c ^-2,express a in terms of c.

ElenaW [278]

Answer:

Part 1) $a=-\frac{1}{4c^6}$

Part 2) $a=-\frac{1}{4c^{-6}}$

Step-by-step explanation:

Part 1) we have

$a=2b^{3}$ ----> equation A

$b=-\frac{1}{2}c^{-2}$ ----> equation B

substitute equation B in equation A

$a=2(-\frac{1}{2}c^{-2})^{3}$

Applying property of exponents

$(x^{m})^{n}=x^{m*n}$

$x^{-m} =\frac{1}{x^{m}}$

$a=2(-\frac{1}{2}c^{-2})^{3}=2(-\frac{1}{2})^3(c^{-2})^{3}=2(-\frac{1}{8})(c^{-6})=-\frac{1}{4c^6}$

therefore

$a=-\frac{1}{4c^6}$

Part 2) we have

$a=2b^{3}$ ----> equation A

$b=-\frac{1}{2c^{-2}}=-\frac{c^{2}}{2}$ ----> equation B

substitute equation B in equation A

$a=2(-\frac{c^{2}}{2})^{3}$

Applying property of exponents

$(x^{m})^{n}=x^{m*n}$

$x^{-m} =\frac{1}{x^{m}}$

$a=2(-\frac{c^{2}}{2})^{3}=2(-\frac{c^{6}}{8})$

simplify

$a=-\frac{c^{6}}{4}$

therefore

$a=-\frac{1}{4c^{-6}}$

6 0

3 years ago

Need help understanding and answering this please and thank you.

Goshia [24]

It's important to know that rigid transformations don't change the size or shape, this means the corresponding angles between the image and preimage are congruent. Due to the reflection transformation, angle C corresponds to angle Z.

<h2>Therefore, the answer is angle Z.</h2>

5 0

1 year ago

The surface area of the triangular prism pictured below is 204 square centimeters. What is the height of the prism?

Fudgin [204]

The picture in the attached figure

we know that
surface area=2*area of the base+perimeter*height

area of the base=area of the triangle
area of the base=3*4/2----> 6 cm²

perimeter of the base=perimeter of triangle
perimeter=3+4+5----> 12 cm
height=x cm

surface area=2*6+12*x
surface area=204 cm²
12+12*x=204
12*x=204-12
12*x=192
x=192/12
x=16 cm

the answer is
16 cm

6 0

3 years ago

A cone shaped building has a height of 11.4 meters and a base with a diameter of 12 meters . The building will be filled with ro

Vlad1618 [11]

Answer:

The answer to your question is $ 8591.04

Step-by-step explanation:

Data

height = 11.4 m

diameter = 12 m

cost = $20/ft³

Process

1.- Calculate the volume of the cone

Formula

Volume = 1/3 πr²h

Substitution

Volume = 1/3 (3.14)(12/2)²(11.4)

Simplification

Volume = 1/3(1288.66)

Volume = 429.55 m³

2.- Calculate the cost

$20 ----------------- 1 m³

x ----------------- 429.55 m³

x = (429.55 x 20)/ 1

x = $ 8591.04

8 0

3 years ago