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bazaltina [42]
3 years ago
14

Use formulas to find the lateral area and surface area of the prism

Mathematics
1 answer:
lara31 [8.8K]3 years ago
7 0

Answer:

All the possible ways are below:

length

l = 12 m

width

w = 15 m

height

h = 21 m

diagonal

d = 28.460498941515 m

surface area

S = 1494 m2

volume

V = 3780 m3

length

l = 21 m

width

w = 15 m

height

h = 12 m

diagonal

d = 28.460498941515 m

surface area

S = 1494 m2

volume

V = 3780 m3

length

l = 15 m

width

w = 21 m

height

h = 12 m

diagonal

d = 28.460498941515 m

surface area

S = 1494 m2

volume

V = 3780 m3

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don walked 3 3/5 miles on Friday, 3.7 miles on saturday, and 3 5/8 miles on sunday. list the distances from least to greatest
astraxan [27]

Solution:

we are given that

Don walked 3 3/5 miles on Friday

It can be re-written as

3\frac{3}{5}miles=\frac{18}{5}= 3.6miles

3 5/8 miles on sunday.

It can be re-written as

3\frac{5}{8}miles=\frac{29}{8}= 3.625miles

an d He walk 3.7 miles on satarday.

The distances from least to greatest is  3.6, 3.625, 3.7

or

The distances from least to greatest is  3\frac{3}{5}miles, 3\frac{5}{8}miles, 3.7 miles.

8 0
3 years ago
70=(4x+36)/2 figure this out please
adell [148]

Answer:

\boxed{\bold{\huge{\boxed{x = 26}}}}

Step-by-step explanation:

70 = \frac{4x+36}{2}

<u>Multiplying both sides by 2</u>

70 * 2 = 4x+36

140 = 4x+36

<u>Subtracting 36 to both sides</u>

140 - 36 = 4x

104 = 4x

<u>Dividing both sides by 4</u>

26 = x

OR

x = 26

3 0
3 years ago
Read 2 more answers
Bags of sugar come in 3 sizes. Small bag: A 175 g bag costs 45p. Medium bag: A 420 g bag costs £1.13. Large bag: A 1.2 kg bag co
kotegsom [21]

Answer:

a 3.889

b 3.735

c 4.013

Step-by-step explanation:

a. 45p is 0  175/45=3.889

b  420/113= 3.735

c1.2kg= 1200g /299 =4.013

/ means divide

4 0
3 years ago
2/15 + 27/35 = what in reduced terms
solniwko [45]

2/15 + 27/35 = 14+81 /105 = 95/105 = 19/21

so, your answer is 19/21

8 0
3 years ago
A family has two cats named Gordo and Flaco. Gordo weighs 15 pounds and Flaco weighs 8 pounds. A cat’s weight is classified as u
Elena-2011 [213]

Answer:

Gordo's weight = 15 pounds

It is outside the healthy weight range and is in the top 5% of weights of cats.

Gordo's weight makes Gordo unhealthy.

Step-by-step explanation:

μ = mean weight = 9.5 pounds

σ = standard deviation = 1.5 pounds

This is a normal distribution problem

We first calculate the limit of the bottom 5% of weights

Let the z-score for this limit be z'

P(z < z') = 0.05

From the normal distribution table,

z' = -1.645

And the limit for the top 5% which is z" = 1.645.

The weight that corresponds to these scores are then calculated.

Standardized scores are given as

z = (x - μ)/σ

So,

z' = (limit for the bottom 5% - μ)/σ

-1.645 = (limit for the bottom 5% - 9.5)/1.5

limit of the bottom 5% = (-1.645)(1.5) + 9.5 = 7.033 pounds

z" = ( (limit for the top 5% - μ)/σ

1.645 = (limit for the top 5% - 9.5)/1.5

limit of the bottom 5% = (1.645)(1.5) + 9.5 = 11.968 pounds

Therefore the healthy weight range for cats is (7.033 < x < 9.968)

Gordo's weight = 15 pounds

It is outside the healthy weight range and is in the top 5% of weights of cats.

Gordo's weight makes the cat unhealthy.

Flaco's weight = 8 pounds

Flaco's weight lies in the healthy weight range for cats. Hence, Flaco is a healthy cat.

8 0
2 years ago
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