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Luda [366]
3 years ago
15

A rectangle has a side length of 2x and a diagonal of 8x. What is the missing lenght?

Mathematics
1 answer:
Leona [35]3 years ago
6 0

Answer:

2x\sqrt{15}

Step-by-step explanation:

we can use the Pythagorean Theorem to find the missing side (a):

a² + (2x)² = (8x)²

a² + 4x² = 64x²

a² = 60x²

a = √60x²

a = \sqrt{4}·\sqrt{15} · \sqrt{x^2}

This can be simplified to be 2x\sqrt{15}

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Lostsunrise [7]

Step-by-step explanation:

Given

- 4( 3x - 5 ) > - 28

Dividing both sides by - 4 we get

3x - 5 > 7

Adding 5 on both sides we get

3x - 5 + 5 > 7 + 5

3x > 12

Dividing both sides by 3 we get

x > 4

7 0
2 years ago
How do I do a question 5* “I, J, k, and L
7nadin3 [17]

Answer:

Step-by-step explanation:

5 (i)  243 ÷x = -81

243 ÷ -81 = x

x = -3

5 (j)  50 ÷ x = -50

    50 ÷ -50 = x

       x = -1

5(k)   -92 * x = 184

                 x = 184 ÷  -92

                 x = -2

5(l)    -800 ÷x = -20

       -800 ÷ -20 = x

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2 years ago
If you get this correct I will give you brainlest 5 stars and thanked please help on it
sweet-ann [11.9K]

Answer:

6:7 is 24:x

6:7is18:y

24/6=4. 4*7=28!

Therefore 24 : 28

18/6=3. 3*7=21.

Therefore 18:21

Please brainlest and thanks and 5 star rating! Your welcome and I am so happy to help you!

Step-by-step explanation:

5 0
3 years ago
Select the two binomials that are factors of this trinomial.
mojhsa [17]

To split this trinomial into two binomials, let's try and find two numbers which add to 6 and multiply to 8. To do this, we can list all the factors of 8 and then choose which factors also add to 6.

Factors of 8: (1, 8), (2, 4)


1 + 8 = 9, meaning that 1 and 8 are not the factors we are looking for. However, 2 and 4 do add to 6. By combining these numbers which an x (so that we can produce the x^2 term at the front of the trinomial), we find the binomials:

x+ 2 and x + 4


The answer is x + 2 and x + 4.

5 0
3 years ago
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Choice 1: Angela and Kellie went to lunch. Their bill before tax was $20.00. Tax is 8%. How much tax should
Zolol [24]

Answer:

$1.60

Step-by-step explanation:

Amount of tax paid = percentage of tax to be paid x bill before tax

0.08 x $20 = $1.60

4 0
3 years ago
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