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Vanyuwa [196]
3 years ago
15

Solve for all theta radians. sin(3 theta)=0

Mathematics
1 answer:
Tema [17]3 years ago
4 0
Sin 3θ = 0
3θ = sin^-1 0 = nπ
θ = nπ/3
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In rectangle ABCD, AB = 10 cm and BC = 14 cm. If rectangle EFGH is the image after a dilation, which could be its side lengths?
lana [24]

Answer is D

After dilation the image remain same but it is stretched or shrinked to the original size.

That means the ratio of the sides and the angles between the sides remain same .

Here we did dilation of ABCD which made it to EFGH.

Hence the ratio of the corresponding sides of the original rectangle ABCD should remain same even after dilation.

the corresponding sides are : AB and EF

BC and FG

CD and GH

DA and HE

* Let us find ratio of the sides AB and BC

given that AB= 10 and BC= 14

AB/BC= 10/14 = 5 /7 ( 10 and 14 both are multiple of 2 so we reduced them by a factor of 2 )

* the raio of the corresponding sides EF and FG should be same ( 5/7)

in the option D EF= 25 and FG= 35

so EF/FG= 25/35 = 5 /7 ( both are multiple of 5 so we reduced them by the factor of 5 )

Since ratio of the corresponding sides are coming out to be same for the EFGH given in option D it should be the dilation of the ABCD

4 0
3 years ago
Read 2 more answers
286 mi in 5 1/2 hours as a unit rate
MA_775_DIABLO [31]
286 ÷ 5 1/2 hours = 286 ÷ 5.5 = 52 final answer
8 0
3 years ago
of 320 consumers polled, some purchase blu-ray movies, some only purchase movies on dvd, and some do both. if 300 people polled
Helga [31]

Answer:

20 people only buy dvds.

Step-by-step explanation:

There are two groups in this problem. One group of people that buys dvds and one that buys blu rays. The total amount of people who buy blu rays is 300, but there's an intersection between the groups and the size of this is 280 people who actually buy both. In order to find out how many people only buy DVDs we first need to figure out how many only buy blu-rays. That is:

people who only buy blu rays = people who buy blu rays - people who buys blu rays and dvds

people who only buy blu rays = 300 - 280 = 20

We can now calculate the amount of people who only buy dvds and that is:

people who only buy dvds =total amount of people - ( people who only buy blu rays + people who buy both)

people who only buy dvds = 320 - (20 + 280) = 320 - 300 = 20 people

3 0
3 years ago
Jack is mixing a cleaning solution that is 12% bleach.After mixing the solution,jack has 150 ounces of cleaning solution.how man
marysya [2.9K]
To solve for the ounces of bleach that Jack used, we utilize the formula below

Bleach = (Percentage of bleach)*(Total ounces of cleaning solution)
Bleach = 0.12*150 ounces
Bleach = 18 ounces

<em>ANSWER: 18 ounces of bleach</em>
5 0
3 years ago
TIME CRUCIAL!! i will give you thanks please help!!! ASAP! will mark as brainliest!!
ozzi
\overline{y} (prounounced "y bar") is the mean of the y values

Add up the y values to get
5+7+10+15+18 = 55

Then divide by 5 (because there are five y values) to get
55/5 = 11

Therefore,
\overline{y} = 11

The answer is choice C
3 0
3 years ago
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