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2 years ago

An angle is 26.2° more than its complementary angle what is the measure of each angle

Mathematics

1 answer:

Mila [183]2 years ago

7 0

Answer:

58.1 and 31.9 degrees

Step-by-step explanation:

x + other angle = 90 because complementary angles add up to 90

x = the angle

x = 26.2 more than the other angle

subtract 26.2 from both sides

x - 26.2 = other angle

x + other angle = 90

plug x - 26.2 for other angle

x + (x-26.2) = 90

2x - 26.2 = 90

add 26.2 to both sides to isolate the variable and its coefficient

2x = 116.2

divide both sides by 2 to find x

x = 58.1

other angle = x - 26.2 = 31.9

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2. The table below shows that the distance d varies directly as the time t. Find the constant of variation and the equation whic

Artemon [7]

<h2><u>Problem Solving</u>:-</h2>

2. The table below shows that the distance d varies directly as the time t. Find the constant of variation and the equation which describes the relation.

<h2><u>Solution</u>:-</h2>

Since the distance d varies directly as the time t, then d = kt.

Using one of the pairs of values, (2, 20), from the table, substitute the values of d and t in d = kt and solve for k.

$\sf{\rightarrow{d = kt}}$

$\sf\rightarrow{20 = 2k }$

$\sf\rightarrow{K= \frac{20}{2} }$

$\sf\rightarrow{K={\color{magenta}{10}}}$

<h2><u>Answer</u>:-</h2>

Therefore, the constant of variation is 10.

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3 years ago

At a school, there are 120 athletes. The ratio of boy athletes to girl athletes is 3:5. How many of the athletes are girls?

FinnZ [79.3K]

There are 75 girls because you add the ratio 3+5 = 8 then divide 120 by 8 to get 15 then there are 5 lots of girls so multiply 15 x 5 to get 75

hope this helps !

5 0

3 years ago

-8x^2+4x+5=0 using quadratic formula

daser333 [38]

So you want to solve for x?

It would be nice if this would easily factor:
(-4x + 5)(2x +1) = 0    This will not work!

So you need to use the quadratic formula:
a = -8, b = 4, c = 5

$x = \frac{-b+/- \sqrt{b^{2}-4ac} }{2a}$

x = (-4 +/- $\sqrt{16-4(-8)(5)}$ )/2(-8)
   = (-4 +/- $\sqrt{16 + 160}$ )/-16
   = (-4 + $\sqrt{176}$ )/-16
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3 years ago

Ponderosa Paint and Glass carries three brands of paint. A customer wants to buy another gallon of paint to match paint she purc

sveta [45]

Answer:

$\frac{4}{9}$

Step-by-step explanation:

Two events are independent of each other, this is called Compound Probability. Classical example is if two coins are filped, what is the probability of getting two heads in a row.?

Answer: each has 50% probability because there are two states only, either H or T. since we have two coins the probability of getting two heads in row is the product of obtaining heads for each individual coin (which is independent of each other). or is $\frac{1}{2}$ × $\frac{1}{2}$ = $\frac{1}{4}$ = 25%. (Notice!).

Back to our problem, now here we have 3 paint brands and one of them is the right paint brand and two of them are not correct brands. so the prabablity that the customer has picked not correct brand is $\frac{2}{3}$ and her husband has not picked correct brand is also $\frac{2}{3}$ , since two probabilities are compound probabilities i.e indepandant of each other the probablity that both woman and her husband fail get correct brand is the product of the two and is = $\frac{2}{3}$ × $\frac{2}{3}$ = $\frac{4}{9}$ .

4 0

3 years ago

Write the slope-intercept form of the equation of the line satisfying the given conditions through(3,-3); slope=-4

il63 [147K]

Answer:

y=-4x+9

Step-by-step explanation:

y-y1=m(x-x1)

y-(-3)=-4(x-3)

y+3=-4(x-3)

y=-4x+12-3

y=-4x+9

7 0

3 years ago