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2 years ago

Look at the triangle:

Mathematics

2 answers:

pantera1 [17]2 years ago

8 0

Answer:

The correct option is 4.

Step-by-step explanation:

In a right angled triangle,

$\sin \theta=\frac{perpendicular}{hypotenuses}$

In the given triangle it is clear that,

Hypotenuse = 13 cm

Perpendicular = 5 cm

Base = 12 cm

$\sin x^{\circ}=\frac{5}{13}$

$\sin x^{\circ}=5\div 13$

Therefore option 4 is correct.

NemiM [27]2 years ago

7 0

That would be the last one opposite/hypotenuse which is 5/13

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Srekar needs to increase the size of the prism below by 2 inches on each side. The original prism has a length of 3, a depth of

Leto [7]

Answer:

a b

Step-by-step explanation:

The options as obtained from the internet.

- the new prism will have a length of 5

- the new prism will have a depth of 4

- the new prism will have a height of 2

- the volume will increase by 6 and each of the 3 dimensions is increased by 2.

- srekar could increase the volume by the same amount by just adding 6 to the height instead of 2 to each side

The volume of a rectangular prism is (length × depth × height)

Originally, length = 3 inches

Depth = 2 inches

Height = 1 inch

Original volume = 3×2×1 = 6 in³

Then, Sreka adds 2 inches to each of the dimensions,

New length = 3+2 = 5 inches

New depth = 2+2 = 4 inches

New height = 1+2 = 3 inches

New volume = (5×4×3) = 60 in³

Taking each of the statements one at a time

Statement 1

the new prism will have a length of 5

True!

Statement 2

the new prism will have a depth of 4

True!

Statement 3

the new prism will have a height of 2

False! New height = 3 inches

Statement 4

the volume will increase by 6 and each of the 3 dimensions is increased by 2.

This is false. The volume increased to 10 folds of its original volume.

Statement 5

srekar could increase the volume by the same amount by just adding 6 to the height instead of 2 to each side

Adding 6 inches to the height,

New height = 1+6 = 7 inches

New volume = 3×2×7 = 42 in³

This statement is false as the new volume from adding 2 inches to each side is 60 in³

Hope this Helps!!!

5 0

3 years ago

Difference of two whole numbers is 33 and its ratio is 2:5 then find those<br> numbers.

S_A_V [24]

Answer:

Step-by-step explanation:

Let the two whole numbers be 5x and 2x then

by the question

5x - 2x = 33

3x = 33

x = 33/3

x = 11

Therefore the numbers are

5x = 5*11 = 55
2x = 2*11 = 22

hope it helps:)

8 0

2 years ago

An elevator descends into mine shaft at the rate of 6m/min. If the descend starts from 10m above the ground level , how long wil

AnnyKZ [126]

Answer: Hi!

So first, I'm going to convert "350 below ground level" to -350, as this is what "below ground level" represents.

Now, we should find the total distance traveled. Take the absolute value of -350 (350) and add it to 10, the metres above ground level. This is 360.

We already know the rate of travel; 6m/min. All we have to do now is divide the total distance (360) by the rate of travel (6)!

360 ÷ 6 = 60

So, it took 60 minutes, or one hour, for the elevator to travel down the shaft!

Hope this helps!

6 0

2 years ago

I really need help. My teacher said that I could use any number.

katen-ka-za [31]

The keyword is Rise over run
So the 2nd y value minus the first y value and divide it by the 2nd x value minus
(y2-y1)/(x2-x1)
(10-7)/5-3)
the first x value and you should get 3/2
*dont worry the if the number is under and not above it’s not a saying to do to the power of but it’s just saying the order in which to put the x and y values.

4 0

3 years ago

Which company’s tower holds the most water?

GuDViN [60]

Answer: First Option

Step-by-step explanation:

The formula to calculate the volume of a cylinder is:

$V = \pi(\frac{d}{2})^2*h$

Where d is the diameter of the cylinder and h is the height.

Notice that the term d is squared. This means that to increase the volume of a cylinder it is more efficient to increase its diameter as well. Therefore, look for the cylinder with the largest diameter among the options.

The first cylinder is 90 ft in diameter and 40 ft in height and its volume is

$V = \pi(\frac{90}{2})^2*40$

$V=254469\ ft^3$

You can verify that it is the tank that has the highest volume

8 0

2 years ago