What is the length of the diagonal for the given rectangular prism to the nearest whole unit?the unit is the length=6, width=5, height=9

A. 8 cm
B.10 cm
C.11 cm
D.12 cm

1.what is the slant height for the given pyramid to the nearest whole unit.

pyramid base= 12 cm
height=8 cm
A.5 cm
B.9 cm
C.14 cm
D.10 cm

Answers

Answer 1
Answer: length of the diagonal : D. 12 cm

The space diagonal of a rectangular prism is derived using the following formula:

d = √(l² + w² + h²)

l = 6; w = 5; h = 9
d = √6² + 5² + 9²
d = √36 + 25 + 81
d = √142
d = 11.916 ⇒ 12 cm

slant height of the given pyramid : 

l = slant height
h = height
a = base radius

l = √h² + a²

i'm assuming that the pyramid base is also the base radius
l = √8² + 12²
l = √64 + 144
l = √208
I = 14.42 ⇒ 14cm

in the event that the pyramid base is not the radius, then 12/2; 6cm
l = √8² + 6²
l = √64 + 36
l = √100
l = 10 cm

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Rainfall collected in a rain gauge was found to be 2.3 cm when rounded to the nearest tenth of a centimeter.a. Circle all the measurements below that could be the actual measurement of the rainfall.
2.251 cm
2.349 cm
2.352 cm
2.295 cm
b. Convert the rounded measurement to meters. Write an equation to show your work.

Answers

a. The possible actual measurements are 2.251 cm, 2.349 cm and 2.295 cm.

b. Rounded measurement in meters is 0.023 meters

a. To determine which measurements could be the actual measurement of the rainfall, we need to consider how rounding works.

When rounding to the nearest tenth of a centimeter, any measurement with a hundredth digit of 5 or greater rounds up, and any measurement with a hundredth digit less than 5 rounds down.

Given that the rounded measurement is 2.3 cm, let's evaluate the measurements:

2.251 cm: Rounds down to 2.3 cm

2.349 cm: Rounds up to 2.3 cm

2.352 cm: Rounds up to 2.4 cm

2.295 cm: Rounds down to 2.3 cm

So, the possible actual measurements are 2.251 cm, 2.349 cm and 2.295 cm.

b. To convert the rounded measurement to meters, we need to divide it by 100, since there are 100 centimeters in a meter.

Rounded measurement: 2.3 cm

Conversion to meters: 2.3 cm / 100 = 0.023 meters

Equation: Rounded Measurement (in meters) = Rounded Measurement (in centimeters) / 100

Rounded Measurement (in meters) = 2.3 cm / 100

= 0.023 meters

Learn more about Rounding figures click;

brainly.com/question/12146052

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Answer:

A.2.251 cm , 2.349 cm, 2.295 cm

B. 0.023 meters.

Step-by-step explanation:

Sophie has 5 pieces of string that are 4 yards each. She uses 3 pieces that are each 3 feet long. How much string does Sophie have left?2 feet


2 yards


31 feet


51 feet

Answers

Alright, lets get started.

Sophie has 5 pieces of string that are 4 yards each.

1 yards = 3 feet,

So, 4 yards = 4 * 3 =12 feet

Total number of string she has = 5 piece

So, total length she has = 5*12 = 60 feet

It means she had 60 feet string in starting.

Now, She uses 3 pieces that are each 3 feet long, means

She uses = 3*3 = 9 feet

So, remaining string length will be = 60 - 9 = 51 feet

Means 51 feet string does Sophie have. : Answer

Hope it will help :)


Sophie has 2 yards left.

Light travels at 186,000 miles per second. Light takes about 11⁄3 seconds to travel from the earth to the moon. Calculate the distance between the earth and the moon based on the speed of light.

Answers

Its 248,000 miles according to my math

List all the factors of the number. 14

Answers

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Jackson wants to divide 3/4 pound box of trail mix into small bags. Each of the bags will hold up to 1/12 pound of trail mix. How many bags of trail mix can Jackson fill? How many tenths are there in 4/5?

Answers

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Julio watched a movie that started at 11:30 a.m. And it ends at 2:12 p.m. how long was the movie ?

Answers

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