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BabaBlast [244]
3 years ago
7

Suppose a cube is given.

Mathematics
1 answer:
aleksandrvk [35]3 years ago
7 0

Answer:

I believe it is 12

I'm not 100% sure but if its right let me know

Sry if its not :/

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Find the missing lengths: LK=15 and KH=9, find KI and HI.
Luda [366]

Answer:

KI=11.25 and HI=6.75

Step-by-step explanation:

Consider the below figure attached with this question.

According to Pythagoras Theorem:

base^2+perpendicular^2=hypotenuse^2

Use Pythagoras in triangle HKL

LH^2+KH^2=LK^2

(LH)^2+9^2=15^2

(LH)^2+81=225

(LH)^2=144

Taking square root on both sides.

LH=12

Let length of HI be x.

LI = 12+x

Use Pythagoras theorem in ΔKLI,

(KI)^2+15^2=(12+x)^2

(KI)^2+225=x^2+24x+144

(KI)^2=x^2+24x+144-225

(KI)^2=x^2+24x-81...(1)

Use Pythagoras theorem in ΔHKI,

(KI)^2=x^2+9^2

(KI)^2=x^2+81...(2)

From (1) and (2) we get

x^2+81=x^2+24x-81

24x=162

x=\dfrac{162}{24}=6.75

Hence, the measure of HI is 6.75 units.

Substitute x=6.75 in equation (2).

(KI)^2=(6.75)^2+81

(KI)^2=126.5625

Taking square root on both sides.

KI=\sqrt{126.5625}

KI=11.25

Hence, the measure of KI is 11.25 units.

3 0
3 years ago
Real World Percentages: Roman went shopping for school
Crank
Roman will have to pay $89.67 for his school supplies.
Since you needed help, I’ll show you my work so you know for next time:

85.40 (.05) = 4.27
85.40 + 4.27
= 89.67

I hope this helps :)

8 0
3 years ago
Solve the equation <br> 5-(n--4)=3(n+2)
DedPeter [7]
5-(n-4)=3(n+2)
5-n+4=3n+6
9-n=3n+6
3=4n
n=3/4
7 0
4 years ago
Help please and fast!
LenaWriter [7]
Cubed root (x^2) I can’t add the radical here but it would be the 3radical(x^2)
4 0
3 years ago
What is the quotient matches 22/33 divided by 6/9
olchik [2.2K]

Hey there! I'm happy to help!

When you divide fractions, you are technically multiplying by the reciprocal, which is the numerator and denominator flipped. This means that 22/33 divided by 6/9 is equal to 22/33 multiplied by 9/6.

If we multiply these together, we get an answer of 1.

I hope that this helps! Have a wonderful day!

8 0
4 years ago
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