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2 years ago

Find the cosine of ∠J.

Mathematics

1 answer:

Nesterboy [21]2 years ago

3 0

Answer:

Step-by-step explanation:

cos ( J ) = $\frac{KJ}{JI}$ = $\frac{\sqrt{29} }{\sqrt{94} }$ = $\sqrt{\frac{29}{94} }$

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8_murik_8 [283]

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3 years ago

A container in the shape of this cuboid holds 2 litres of water.

zysi [14]

Given:

Volume of cuboid container = 2 litres

The container has a square base.

Its height is double the length of each edge on its base.

To find:

The height of the container.

Solution:

We know that,

1 litre = 1000 cubic cm

2 litre = 2000 cubic cm

Let x be the length of each edge on its base. Then the height of the container is:

$h=2x$

The volume of a cuboid is:

$V=l\times w\times h$

Where, l is length, w is width and h is height.

Putting $V=2000,\ l=x,\ w=x,\ h=2x$ , we get

$2000=x\times x\times 2x$

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Divide both sides by 2.

$1000=x^3$

Taking cube root on both sides.

$\sqrt[3]{1000}=x$

$10=x$

Now, the height of the container is:

$h=2x$

$h=2(10)$

$h=20$

Therefore, the height of the container is 20 cm.

8 0

3 years ago

Write a word problem for this equation, $2*n=18

Vesna [10]

Answer:

Josh sold all of his collectable baseball cards (n), for $2 each. After selling them all he counted his money and he had $18. How many baseball cards did Josh sell?

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3 years ago

Jenna is driving 400 miles to visit her grandmother. She managesto travel the first 100 miles of her trip in two hours. Is she c

dalvyx [7]

Answer:

Jenna will complete remaining distance in 6 hours.

Step-by-step explanation:

Since we know that $\text{Speed}=\frac{\text{Distance}}{\text{Time}}$ . Let us find the rate at which Jenna traveled 100 miles.

$\text{Speed}=\frac{100\text{ miles}}{2\text{ hours}}$

$\text{Speed}=50\frac{\text{ miles}}{\text{ hours}}$

Remaining distance is 400-100=300.

Now let us find the time Jenna will take to travel 300 miles.

$\text{Time}=\frac{300}{50}$

$\text{Time}=6$

Therefore, Jenna took 6 hours to complete remaining distance.

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3 years ago

Five less than twice a number is nine. Find the number

sasho [114]

Answer: n=7

Step-by-step explanation:

n=number.

2n-5=9

2n=14

n=7

7 0

1 year ago