All categories

2 years ago

PLEASE HELP ME PLEASE!!

Mathematics

1 answer:

Anna35 [415]2 years ago

8 0

Step-by-step explanation:

in such a case, where we have all the sides and need angles, the best tool is the extended Pythagoras (for general triangles and not just for right-angled ones) :

c² = a² + b² - 2ab×cos(C)

c is the side opposite of angle C.

the side opposite of B is CA.

so, we have

220² = 100² + 160² - 2×100×160×cos(B)

48,400 = 10,000 + 25,600 - 32,000×cos(B)

12,800 = -32,000×cos(B)

cos(B) = -12,800/32,000 = -0.4

B = 113.5781785...° ≈ 114°

You might be interested in

A test is used to assess readiness for college. In a recent year, the mean test score was 20.3 and the standard deviation was 4

Vlada [557]

Answer:

$\mu = 20.3$

$\sigma = 4.9$

And we can find the limits in order to consider values as significantly low and high like this:

$Low\leq \mu -2 \sigma= 20.3- 2*4.9 = 10.5$

$High\geq \mu +2 \sigma= 20.3+ 2*4.9 = 30.1$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution to the problem

For this case we can consider a value to be significantly low if we have that the z score is lower or equal to - 2 and we can consider a value to be significantly high if its z score is higher tor equal to 2.

For this case we have the mean and the deviation given:

$\mu = 20.3$

$\sigma = 4.9$

And we can find the limits in order to consider values as significantly low and high like this:

$Low \leq \mu -2 \sigma= 20.3- 2*4.9 = 10.5$

$High\geq \mu +2 \sigma= 20.3+ 2*4.9 = 30.1$

6 0

3 years ago

8. The vertices of ACDE are C(-5, 3), D(-6, 1), and E(-1.5, 2).

vova2212 [387]

Answer:

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Jamie wants to know the volume of his gold ring in cubic centimeters. He gets a rectangular glass with a base 3 cm 3 cm by 2 cm

mafiozo [28]

Volume of water in the glass = 3 x 2 x 4 = 24 cubic cm.

Volume of water plus the ring = 3 x 2 x 4.25 = 25.5 cubic cm.

Subtract the total with the ring from just the water:

25.5 - 24 = 1.5 cubic cm

7 0

2 years ago

a national monument had 160,747 visitors during the first week of september . a total of 759,656 people visited the monument in

grandymaker [24]

598,909 is the answer because when I put that for a test I got it right

4 0

3 years ago

What is (x-2)(x+5)=0

Natasha_Volkova [10]

$= > (x - 2)(x + 5) = 0 \\ \\ = > x(x + 5) - 2(x + 5) = 0 \\ \\ = > {x}^{2} + 5x - 2x - 10 = 0 \\ \\ = > {x}^{2} + 3x - 10 = 0 \\ \\ If \: we \: have \: to \: find \: value \: of \: x \: \\ then \: substitute \: both \: the \: term \: \\ equal \: to \: zero \\ \\ = > x - 2 = 0 \: \: \: \: \: \: x + 5 = 0 \\ \\ = > x = 2 \: \: \: \: \: \: x = - 5 \\ \\ = > x = 2 \: or \: - 5$

8 0

3 years ago