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2 years ago

The diagram shows a right-angled triangle.

Mathematics

1 answer:

Marizza181 [45]2 years ago

7 0

Answer:

11.9 Cm.

Have a nice day!

Step-by-step explanation:

cos = adj/hyp

cos 24°= hcm/ 13cm

13 cos 24°= h

11.88= h

11.9 cm

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Will mark as brainliest

shepuryov [24]

Answer:

p = 1

Step-by-step explanation:

Δ JKH ≅ Δ JIH

therefore KJ corresponds with IJ so you can set both sides equal to each other

10p = p+9

9p = 9

p = 1

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3 years ago

A ferris wheel can accommodate 35 people in 15 minutes. How many people

Sati [7]

Answer:

420 people in 3 hours. 140 people per hour.

Step-by-step explanation:

this is quite simple

35 p = 15 m

140 p = 1 hour

420 p = 3 hours

8 0

2 years ago

Combining probabilities is a function of _____.

Romashka-Z-Leto [24]

I think the correct answer from the choices listed above is the second option. Combining probabilities is a function of mutually exclusive events. Joint probability is a measure of two events happening at the same time, and can only be applied to situations where more than one observation can be occurred at the same time.

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3 years ago

Read 2 more answers

Tobias rented a kayak from a sports equipment store.

Ket [755]

Answer:

Step-by-step explanation:

Let x = every day he rented the kayak

Since the store charges $60 for each day, multiply x by 60 like this: 60x

They also have $25 on top of that; 60x + 25

This all has to equal $325; 60x + 25 = 325

To solve for x, subtract 25 from both sides

60x + 25 = 325

- 25 - 25

60x = 300

Divide both sides by 60

60x/60 = 300/60

x = 5

This means Tobias rented the kayak for 5 days

7 0

3 years ago

A conical pile of road salt has a diameter of 112 feet and a slant height of 65 feet. After a storm, the linear dimensions of th

QveST [7]

we know that

the volume of a cone is equal to

$V= \frac{1}{3} \pi r^{2}h$

in this problem

the radius is equal to

$r= \frac{112}{2}= 56ft$

1) Find the height of the cone before the storm

Applying the Pythagorean Theorem find the height

$h^{2} = l^{2}-r^{2}$

$l=65 ft$

$h^{2} = 65^{2}-56^{2}$

$h^{2} = 1,089$

$h=33 ft$

2) Find the volume before the storm

$V= \frac{1}{3}*\pi* 56^{2}*33$

$V=34,496\pi\ ft^{3}$

3) Find the volume after the storm

After a storm, the linear dimensions of the pile are 1/3 of the original dimensions

r=(56/3) ft

h=(33/3)=11 ft

$V= \frac{1}{3}*\pi* (56/3)^{2}*11$

$V= 1,277.63\pi\ ft^{3}$

4) Find how this change affect the volume of the pile

Divide the volume after the storm by the volume before the storm

$\frac{1,277.63 \pi }{34,496 \pi } = \frac{1}{27}$

therefore

the answer part a) is

The volume of the pile after the storm is $\frac{1}{27}$ times the original volume

Part b) Estimate the number of lane miles that were covered with salt

5) Find the amount of salt that was used during the storm

$=34,496 \pi - 1,277.63 \pi \\= 33.218.37 \pi \\= 104,358.59\ ft^{3}$

6) Find the pounds of road salt used

$104,358.59*80=8,348,687.2\ pounds$

7) Find the number of lane miles that were covered with salt

$8,348,687.2/350=23,853.39 \ lane\ miles$

therefore

the answer part b) is

the number of lane miles that were covered with salt is $23,853.39 \ lane\ miles$

Part c) How many lane miles can be covered with the remaining salt? Round your answer to the nearest lane mile

the remaining salt is equal to $1,277.63\pi\ ft^{3}$

$1,277.63\pi\ ft^{3}=4,013.79\ ft^{3}$

8) Find the pounds of road salt

$4,013.79*80=321,103.20\ pounds$

9) Find the number of lane miles

$321,103.20/350=917.44 \ lane\ miles$

therefore

the answer part c) is

the number of lane miles is $917 \ lane\ miles$

7 0

4 years ago