All categories

3 years ago

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 $\sqrt{15}$

You might be interested in

for every three short horned lizards there are two fence lizards. If there are 54 short horned lizards how many fence lizards ar

Komok [63]

Answer: 36

Step-by-step explanation:

54/3 = 18 x 2 = 36

8 0

3 years ago

Point (a, b) is transformed by the rule (a, b−4) .

Tanzania [10]

I really think the answer is C

7 0

3 years ago

(5,2), (-2,5),(2,5),(-5,2)

Alecsey [184]

Answer:

the second row is not a function! top row is a function

Step-by-step explanation:

because in order for it to be a function for every x there is exactly one y meaning there is no repeating x values! the second row had x = 5 twice, therefore they repeated x values meaning it's not a function

6 0

3 years ago

Which equation can be used to solve for x in the diagram ?

kotegsom [21]

D because a straight line is 180 degrees. Since 2x+15 and 65 add up to a straight line (180 degrees) in the picture, the answer is D.

6 0

3 years ago

Two trains, Train A and Train B weigh a total of 349 tons. Train A is heavier than Train B. The difference in their weights is 2

Ainat [17]

Answer:

Train A = 299 tons Train B = 50 tons

Step-by-step explanation:
Train A = x

Train B = y

x+y = 349

x= y +249

Plug in one equation into another

y+249+y= 349

Simplify

2y+249=349

Subtract 249 from both sides

2y=100

Divide both sides by 2

y=50

Plug it into the x equation to solve for x

x+50=349

-50 from both sides

x=299

3 0

2 years ago