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ch4aika [34]
3 years ago
14

What is the side of equilateral triangle is altitude is 10

Mathematics
1 answer:
kotegsom [21]3 years ago
5 0

Answer:

11.55

Step-by-step explanation:

An equilateral triangle is one which all it sides are equal.

10cm altitude means the height is 10cm.

Using Pythagoras theorem,

x² = 10² + (x/2)²

Assume that the side of the triangle is xcm

x² - x²/4 = 100

3x²/4 = 100

x = √(400/3)

x = 11.55cm

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Aaron is 6 years old, Beth is 9 years old and Charlie is 15 years old. They are going to share £5940 in the same ratio as their
Andre45 [30]

Answer:

Aaron=1188

Beth=1782

Charlie=2970

Step-by-step explanation:

From the question we are told that

Ratio 6:9:15

Total amount to e shared N=£5940

Generally the Ratio can divide the Total amount mathematically as follows

Ratio

6:9:15/3=2:3:5

Sum of ratio

2+3+5=10

For Aaron

A=\frac{2}{10} *5940

A=1188

For Beth

B=\frac{3}{10} *5940

B=1782

For Charlie

C=\frac{2}{10} *5940

C=2970

Check answer

A+B+C=5940\\1188+1782+2970=5940

4 0
3 years ago
State the restrictions, if any.<br> F(x)= x/x2-81
Crazy boy [7]

Answer:

f=1/x^2-81

Step-by-step explanation:

Step 1: Multiply both sides by x^2-81.

fx3−81fx=x

Step 2: Factor out variable f.

f(x3−81x)=x

Step 3: Divide both sides by x^3-81x.

f(x3−81x)

x3−81x =x x3−81x f= 1 x2−81

3 0
3 years ago
How many distinguishable 11 letter​ "words" can be formed using the letters in MISSISSIPPI​?
SCORPION-xisa [38]
This is given by the multinomial coefficient:

\dbinom{11}{1,4,4,2}=\dfrac{11!}{1!4!4!2!}=34650

If you're not familiar with the multinomial coefficient, you may be able to see it more clearly if you count the number of possible combinations taking each distinct letter n times, where n is the number of times it shows up in the original word.

\underbrace{\dbinom{11}1}_{\text{M}}\underbrace{\dbinom{10}4}_{\text{I}}\underbrace{\dbinom64}_{\text{S}}\underbrace{\dbinom22}_{\text{P}}=\dfrac{11!}{1!10!}\dfrac{10!}{4!6!}\dfrac{6!}{4!2!}\dfrac{2!}{2!0!}=\dfrac{11!}{1!4!4!2!}
4 0
3 years ago
WHAT IS THE EQUATION OF THE LINE IN SLOPE - INTERCEPT FORM
Maksim231197 [3]
Y=10x-40
i hope that helps!!
5 0
3 years ago
(50 points worth ) A rectangular prism fish tank a length of 5 1/2 in., a width of 7 in., and a height of 2 1/2 in. Use this to
densk [106]
A) What's the volume of this fish tank? Show all work and express your answer as a mixed number in its most simplified form!
 By definition we have that the volume of a rectangular prism is given by:
 V = (w) * (l) * (h)
 Where,
 w: width
 l: long
 h: height
 We then have to replace the values:
 V = (7) * (5.5) * (2.5)
 V = 96.25 in ^ 3
 Equivalently:
 V = 96 1/4 in ^ 3


 B) Could this fish tank hold 100 in³ of water? Answer yes or no, then explain why in one or more sentences.

 No, this fish tank could not hold 100 in³ of water.
 This is because the prism volume (part A) is less than 100 in ^ 3.
 In other words;
 96 1/4 in ^ 3 <100 in ^ 3
4 0
3 years ago
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