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astraxan [27]
3 years ago
14

What is the slant height x of this square pyramid? (Express your answer in radical form.)

Mathematics
1 answer:
Kitty [74]3 years ago
8 0
This is a 30,60,90° triangle where the hypotenuse is equal to 4 meters and the slant height is opposite the 60° angle

The ratios of the sides and their opposite angle for this type of triangle are:

1,30°, √3, 60°, and 2, 90° so the relationship we need is:

x/4=√3/2  multiply both sides by 4

x=2√3
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What is the value of z , when c is 8 ?<br><br> z = 99 + 7 c2
likoan [24]

Answer:

211

Step-by-step explanation:

3 0
4 years ago
Bill and Eugene left the airport at the same time. They traveled in opposite directions. Eugene traveled 21.1 km/h faster than B
gizmo_the_mogwai [7]

Answer:

56.3 kilometers per hour

Step-by-step explanation:

We know D = RT

where

D is distance

R is rate (speed)

T is time

Let's Bill's rate be "x". Thus using equation we can write:

D = xt

We know Eugene travelled 21.1 faster than Bill, so Eugene's rate is 21.1 + x. So we can write:

D = (21.1 + x)t

D = 21.1t + xt

Now, putting t = 1 in both since after 1 hour given, we have:

D = x(1)

D = x

and

D = 21.1(1) + x(1)

D = 21.1 + x

We know the sum of both the distance is 133.7, so we can write:

x + 21.1 + x = 133.7

Solving for x:

2x = 133.7 - 21.1

2x = 112.6

x = 112.6 / 2

x = 56.3 km/hr

This is Bill's rate: 56.3 kilometers per hour

8 0
3 years ago
Brendan has 33 coins in his pocket, all of which are dimes and quarters. if the total value of his change is 615 cents, how many
Amanda [17]
If all were dimes, the value would be $3.30. Brendan has $2.85 more than that. Each quarter that replaces a dime increases the value by $0.15, so Brendan must have $2.85/$0.15 = 19 quarters.

Brendan has 14 dimes and 19 quarters.
6 0
3 years ago
A route up a mountain is 20 Km long. john followed this route at an average speed of xkm/h. write down an expression in terms of
timofeeve [1]

Answer:

20/x

Step-by-step explanation:

speed = distance /time

x km/h is speed

20 km is distance

x= 20/t

t= 20/x

3 0
3 years ago
Read 2 more answers
How do you use compatible numbers to estimate the quotient $595 divided by 25
storchak [24]
Well, 25 certainly doesn't divide evenly into 595, but it does divide into 600, which is <em>very</em> close to 595. So if we divide 600 by 25, we can get a rough estimate of what 595 divided by 25 is.
\frac{600}{25} = 6* \frac{100}{25} = 6* 4=24
4 0
3 years ago
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