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densk [106]
3 years ago
10

Help with #22 please

Mathematics
1 answer:
Anastaziya [24]3 years ago
8 0

Answer:

side c = 10.2

A = 52.6°

B = 37.4°

Step-by-step explanation:

c² = 8.1² + 6.2²

c² = 104.05

c = 10.20049018

Using cosine law:

8.1² = 10.2² + 6.2² - 2(10.2)(6.2)cos

cosA = 7687/11648

A = 52.57199409

A = 52.6°

B = 180 - 90 - 52.6 = 37.4°

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Please help me with these two questions, 10 points for each so in total 20!!
saul85 [17]

Answer:

\large\boxed{Q2.\qquad C.\ -2x+y=-2}\\\boxed{Q4.\qquad C.\ y=3x+12}

Step-by-step explanation:

Q2:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (4, 6) and (6, 10). Substitute:

m=\dfrac{10-6}{6-4}=\dfrac{4}{2}=2

y-6=2(x-4)           <em>use distributive property</em>

y-6=2x-8      <em>add 6 to both sides</em>

y=2x-2          <em>subteact 2 from both sides</em>

-2x+y=-2

Q4:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

Put the slope m = 3 and the coordinateso f the point (-2, 6) to the point-slope form of an equation of a line:

y-6=3(x-(-2))

y-6=3(x+2)         <em>use distributive property</em>

y-6=3x+6     <em>add 6 to both sides</em>

y=3x+12

4 0
3 years ago
The nutritional information on Xuan’s container of crackers said that it had 162 calories. If there were 24 crackers in the cont
Colt1911 [192]

Answer:

B. approximately 7 calories

Step-by-step explanation:

got it right, hope you do as well

4 0
3 years ago
Number of different 5 digit combinations if successive digits msut be different
Maslowich
For the first digit you have 10 options (0..9).
For each next digit you can't choose the same digit, so you have 9 options.

So number of combinations is 10*9*9*9*9 = <span>65610</span>
4 0
4 years ago
The selling price is $750. The rate of the sales tax is 5%. How much is the sales tax?
ElenaW [278]

Answer:

37.5

Step-by-step explanation:

Selling price= 750

Sales tax= 5%

5/100 because we are looking for 5% ot of 100%

750*0.05

5 0
3 years ago
What is the equation of the line in slop-intercept form?
NNADVOKAT [17]
Y = 5/2x + 5
or
y = 2.5x + 5
5 0
2 years ago
Read 2 more answers
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