On a timer please help

For each triangle shown below, determine whether you would use the Law of Sines or Law of Cosines to find angle x. Then find ang

GalinKa [24]

For the question above we can use the law of sine that states;

a/sinA = b/sinB = c/sinC
Where a is the opposite side of angle A
b is the opposite side of angle B
c is the opposite side of angle C

x/sin63 = 65/sin40

x = 65(sin63)/sin40

= 57.9154/0.6429
= 90.10

The answer is <span>A) 90.1 by The Law of Sines (SAS)</span>

3 0

3 years ago

There was a party with 50 students. They had a cylinder root beer keg that was 17 inches in height and 13 inches in diameter. Th

Radda [10]

Answer:

Yes, there will be enough root beer for everyone to have at least one cup

Step-by-step explanation:

step 1

Find the volume of the cylinder root beer keg

The volume is equal to

$V=\pi r^{2} h$

we have

$r=13/2=6.5\ in$ -----> the radius is half the diameter

$h=17\ in$

substitute

$V=\pi (6.5)^{2} (17)$

$V=718.25\pi\ in^{3}$

step 2

Find the volume of the cylinder cups

The volume is equal to

$V=\pi r^{2} h$

we have

$r=3/2=1.5\ in$ -----> the radius is half the diameter

$h=4\frac{3}{4}\ in=4.75\ in$

substitute

$V=\pi (1.5)^{2} (4.75)$

$V=10.6875\pi\ in^{3}$

step 3

Multiply the volume of one cup by 50 (the total number of students) and then compare the result with the volume of the cylinder root beer keg

so

$10.6875\pi*(50)=534.375\pi\ in^{3}$

$534.375\pi\ in^{3}< 718.25\pi\ in^{3}$

therefore

There will be enough root beer for everyone to have at least one cup

4 0

3 years ago

Read 2 more answers

Use the following to answer questions

galina1969 [7]

Answer:

A. The population in the CPS survey are all US households.

B. The population in the CES survey are all the non-farm businesses and government agencies.

Step-by-step explanation:

A sample is the number of people from a whole population who actually participated in a survey. The population is the entire group of people whom the survey is meant to study. The sample is an off shoot of the population.

In the given question, the Current Population Survey is a study on the entire US households. Since every household cannot be interviewed because of the large population, a sample of 60,000 households is used. The whole households in the United States thus form the population under study.

For the Current Employment Statistics survey, the goal is to understand employment statistics in all the non-farm businesses and government agencies. This is the population. Since the entire population cannot be studied, a sample of 140,000 is used.

3 0

3 years ago

It would mean a lot if you helped:)

nataly862011 [7]

1. yes
2.no
3.yes
4. no
5. yes

3 0

4 years ago

oksano4ka [1.4K]

This is a particular case, but it is not necessarily true. If triangles STU and XYZ are similar, the corresponding sides are in the same proportion. So, there exists a number $k \in \mathbb{R}$ such that

$ST = kXY,\quad TU=kYZ,\quad SU=kXZ$

So, if $k=1$ , the corresponding sides are actually congruent, but it can be any other number. For example, if $k=2$ , triangle XYZ is exactly twice as large as triangle STU, but they are still similar.

8 0

4 years ago

Read 2 more answers