All categories

3 years ago

How do you solve it

Mathematics

2 answers:

Vesna [10]3 years ago

8 0

D is the answer............

kupik [55]3 years ago

7 0

Answer:

5/13

Step-by-step explanation:

Since the triangles are similar, the cos F = cos C

Cos C = adjacent side/ hypotenuse

Cos C = 5/13

Cos F = 5/13

You might be interested in

Find the perimeter of the figure to the nearest hundredth.

bekas [8.4K]

Answer:

38.56

Step-by-step explanation:

8 0

3 years ago

From a circular cylinder of diameter 10 cm and height 12 cm are conical cavity of the same base radius and of the same height is

Nataliya [291]

<h3>Volume of the remaining solid = 628 cm^2</h3>

<h3>Whole surface area = 659.4 cm^2</h3>

Step-by-step explanation:

Now, Given that:-

Diameter (d) = 10 cm

So, Radius (r) = 10/2 = 5cm

Height of the cylinder = 12cm.

$volume \: of \: the \: cylinder \: = \pi {r}^{2} h$

$= > \pi \times {5}^{2} \times 12 {cm}^{3} = 300\pi {cm}^{3}$

Radius of the cone = 5 cm.

Height of the cone = 12 cm.

$slant \: height \: of \: the \: cone \: = \sqrt{ {h}^{2} + \: {r}^{2} }$

$= > \sqrt{ {5}^{2}+{12}^{2} } cm \: = 13cm$

Volume of the cone = 1/3 *πr^2h

$= > \frac{1}{3} \pi \times {5}^{2} \times 12 {cm}^{3} = 100\pi {cm}^{3}$

therefore, the volume of the remaining solid

$= 300\pi {cm}^{3} - 100\pi {cm}^{3} \\ = 200 \times 3.14 {cm}^{3} = 628 {cm}^{3}$

Curved surface of the cylinder =

$2\pi \: rh \: = 2\pi \times 5 \times 12 {cm}^{2} \\ = 120\pi {cm}^{2} .$

$curved \: surface \: of \: the \: cone \: = \pi \: rl \\ = \pi \times 5 \times 13 {cm}^{2} \\ = 65\pi {cm }^{2} \\ area \: of \: (upper)circular \: base \: \\ of \: cylinder \: = \\ = \pi \: {r}^{2} = \pi \times {5}^{2}$

therefore, The whole surface area of the remaining solid

= curved surface area of cylinder + curved surface area of cone + area of (upper) circular base of cylinder

$= 120\pi {cm}^{2} + 65\pi {cm }^{2} + 25 \pi {cm}^{2} \\ = 210 \times 3.14 {cm}^{2} = 659.4 {cm}^{2}$

<h3>Hope it helps you!!</h3>

6 0

2 years ago

Here is a quick question I made up myself. It's easy, but it was fun to make!

andrew-mc [135]

Very large. Idk. This is a crazy question

5 0

3 years ago

Questions on the images

KiRa [710]

Answer: A

Step-by-step explanation:

12 x 12 = 144

39 x 39 = 1521

1521 - 144 = 1377

root 1377 = 37.1

6 0

3 years ago

Read 2 more answers

For what values of a is the value of the binomial 2a−1 smaller than the value of the binomial 7−1.2a?

Hunter-Best [27]

To solve the problem shown bove you must apply the proccedure shown below:

1. You have that:

2a-1<<span>7−1.2a
2a+1.2a<7+1
3.2a<8
a<8/3.2
a<2.5

2. Therefore, f</span><span>or what values of a is the value of the binomial 2a−1 smaller than the value of the binomial 7−1.2a?
</span><span>
As you can see above, the answer for this question is:

All the values of a between -</span>∞ and 2.5<span>
</span>

8 0

4 years ago

Read 2 more answers