All categories

3 years ago

Could someone help me please ?

Mathematics

1 answer:

jeyben [28]3 years ago

5 0

Answer: 12.66

Step-by-step explanation:

Use pytagoras to find CB

AB= 6 cm

CA=12 cm

CB²=CA²-AB²

CB²=12²-6²

CB²=144-36

CB=√108

CB=6√3

Using formula for sinα=CB/CD

α=55°

sin55°=6√3/CD

CD=6√3/sin55°

CD= 6*1.73/0.82=10.38/0.82=12.66

You might be interested in

Evaluate the expression when a=3 and b= 19.<br> b-4a

Sphinxa [80]

Answer:

Step-by-step explanation:

19 - 4(3) = 19 - 12 = 7

please give me a brainiest

3 0

3 years ago

Find the volume of the solid generated when R (shaded region) is revolved about the given line. x=6−3sec y, x=6, y= π 3, and

Dmitrij [34]

Answer:

$V=9\pi\sqrt{3}$

Step-by-step explanation:

In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).

The formula we will use for this problem is the following:

$V=\int\limits^b_a {\pi r^{2}} \, dy$

where:

$r=6-(6-3 sec(y))$

$r=3 sec(y)$

a=0

$b=\frac{\pi}{3}$

so the volume becomes:

$V=\int\limits^\frac{\pi}{3}_0 {\pi (3 sec(y))^{2}} \, dy$

This can be simplified to:

$V=\int\limits^\frac{\pi}{3}_0 {9\pi sec^{2}(y)} \, dy$

and the integral can be rewritten like this:

$V=9\pi\int\limits^\frac{\pi}{3}_0 {sec^{2}(y)} \, dy$

which is a standard integral so we solve it to:

$V=9\pi[tan y]\limits^\frac{\pi}{3}_0$

so we get:

$V=9\pi[tan \frac{\pi}{3} - tan 0]$

which yields:

$V=9\pi\sqrt{3}$ ]

6 0

4 years ago

This probability distribution shows the typical grade distribution for a Geometry course with 35 students . A B С DF Grade Frequ

Nataly [62]

Answer:

$p=0.29$

Step-by-step explanation:

$Total ~ of ~students=35$

$Probability =10/35=0.29$

hope it helps....

have a great day!!

4 0

3 years ago

Read 2 more answers

Can you simplify 9/22

olga_2 [115]

Answer:

9/22 to its simplest form and convert it to a mixed number if necessary. In the fraction 9/22, 9 is the numerator and 22 is the denominator.

Step-by-step explanation:

Hope this helps i learned this a while ago

7 0

3 years ago

Read 2 more answers

A store sold a case of scented candles for $17.85 that had been marked up 110%. What was the original price?

cestrela7 [59]

Let the letter o represent the original price.

17.85 = o + (o*1.10)
17.85 = 2.10 * o
o = 17.85/2.10=8.5
The original price was $8.50

6 0

3 years ago

Read 2 more answers