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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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How long will it take an airplane to travel 1,250 kilometers if it is traveling at 150km/hr
Mila [183]
Time = distance/speed
So all you have to do is plug the numbers in and you get the answer
Time = 1,250 kilometres/150 kilometres per hour
Time = 8.333 hours
7 0
3 years ago
Read 2 more answers
Use &lt;,&gt;,or= to compare the ratios 36 ? 6 <br> 60 10
katen-ka-za [31]

Answer:

36/60 =6/10

Step-by-step explanation:

36/60 = 0.6

6/10=0.6

4 0
3 years ago
Bingo uses the numbers 1-75. If you randomly select a number, what is the probability it will not be a multiple of ten? Explain
ValentinkaMS [17]

Multiples of ten are: 10, 20, 30, 40, 50, 60, & 70.

So there are (7 options that ARE multiplies of ten) out of (75 total options)

Thus, there are (75 - 7 options that are NOT multiples of ten) out of (75 total options).

Answer: \frac{68}{75}


7 0
3 years ago
1. Calculate the value of x in the following diagram. 53 - Y IN Q 5x 18​
777dan777 [17]

Answer:

x = 7

Step-by-step explanation:

QY = 5x

YZ = 18

QZ = 53

Thus:

QY + YZ = QZ (segment addition postulate)

5x + 18 = 53

5x = 53 - 18 (subtraction property of equality)

5x = 35

Divide both sides by 5

x = 7

5 0
3 years ago
I need help with my homework please answer this correctly
Bogdan [553]

2 numbers can be represented by the variables x and y.

Set up a system of equations:

x + y = 33

x - y = 1

The two numbers added together will result in a sum of 33. However, one number subtracted from another will result in a difference of 1.

In both systems of equations, there are inverses of variable y. Therefore, we can combine the systems of equations by adding them together:

(x + x) + (y - y) = (33 + 1)

2x = 34

Divide both sides by 2 to get x by itself:

x = 17

One of the numbers will be 17.

Plug the value into one of the equations:

17 - y = 1

Add y to both sides:

17 = y + 1

Subtract both sides by 1 to get y by itself:

y = 16

The two numbers that sum up to 33, with a difference of 1 between them, will be 16 and 17.

6 0
3 years ago
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