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Arisa [49]
3 years ago
7

Find the missing side of the triangle

Mathematics
1 answer:
serg [7]3 years ago
5 0

Answer:

x= 15.3 (3 s.f.)

Step-by-step explanation:

Please see the attached picture for the full solution.

<u>Pythagoras' Theorem</u>

• for right- angled triangles

• (hypotenuse)²= (side 1)² +(side 2)²

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What is the volume of a regular hexagonal prism with a side length of 4 and a height of 9? Please give the answer as square root
likoan [24]
The height of an equilateral triangle with side s is s*sqrt(3)/2
The area of an equilateral triangle is therefore s^2*sqrt(3)/4
The area of a hexagon with side s is 6 times the area of an equilateral triangle
=6*s^2*sqrt(3)/4
=3s^2*sqrt(3)/2
 
Here s=4, 
Area of base (hexagon) = 3*4^2*sqrt(3)/2=24sqrt(3)
Volume of prism
=(base area)*height
=24sqrt(3)*9
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6 0
3 years ago
P = KT/V solve for k
IrinaK [193]

we have

P=\frac{KT}{V}

Solve for K means clear the variable K

so

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PV=V\frac{KT}{V}

PV=KT

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PV/T=KT/T

K=PV/T

therefore

<u>the answer is</u>

K=PV/T

3 0
4 years ago
Read 2 more answers
Angle ACB is an inscribed angle of circle P. Find x if angle ACB measures x° and arc ACB measures (x + 45)° .
frosja888 [35]
According to the theorem of circles, angle ACB is equal to 1/2 of the explementary angle of angle APB. The explementary angle then is 360 - (x+45) or 315 - x where x is angle ACB. Hence x = 0.5 * (315-x). x is equal to 105 degrees. 
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Jackie loves to cook fried foods. She recorded the total amount of oil that she used each month in the table below.
Liula [17]
Answer

She used 6/15 litres of oil in January

Explanation

We are given that, in January, she used 3/5 of the amount of oil she used in February.

We are also given that, she used 2/3 litres of oil in February.

Therefore, amount of oil used in January is:

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4 years ago
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Komok [63]
The perimeter would be all the side lengths added together, which would be 10,8, and 7. 10+8+7=25
7 0
3 years ago
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