All categories

3 years ago

The measure of an angle is forty-four times the measure of its complementary angle. What is the measure of each angle?

Mathematics

1 answer:

mr_godi [17]3 years ago

3 0

Answer:

Step-by-step explanation:

Suppose two angles ∠A and ∠B of measures x and y

A and B are complementary means x + y = 90

the measure of B is 44 times the measure of A means y = 44x

then we have to solve the system

x + y = 90

y = 44x

then

x + 44x = 90

then

45x = 90

then x = 90/45

= 2

therefore

y = 44×(2)

= 88

______________________

You might be interested in

V=pir^2h solve this equation for h

Nady [450]

Since we are solving for h, the equation:

V = πr²h

...divides πr² to the other side. Thus, it becomes....

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

Which can be rewritten as....

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

3 0

3 years ago

Read 2 more answers

HELPPPP- you just got your driver's license. Your parents buy you a car and agree to let you pay them back over a period of 70 m

Nitella [24]

Using the monthly payments formula, it is found that a car with a value of at most $25,293.

<h3>What is the monthly payment formula?</h3>

It is given by:

$A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}$

In which:

P is the initial amount.

r is the interest rate.

n is the number of payments.

In this problem, we have that the parameters are given as follows:

A = 400, n = 70, r = 0.035.

Hence:

r/12 = 0.035/12 = 0.002917.

Then we have to solve for P to find the maximum value of the car.

$A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}$

$400 = P\frac{0.002917(1.002917)^{70}}{(1.002917)^{70}-1}$

$P = \frac{400[(1.002917)^{70}-1]}{0.002917(1.002917)^{70}}$

P = $25,293.

More can be learned about the monthly payments formula at brainly.com/question/26267630

#SPJ1

7 0

1 year ago

Which expression is equivalent to 8x-2x+x+x<br><br> a. 4x<br> b. 8x<br> c. 6x-2x<br> d. 10x-2y

Deffense [45]

B - 8x

To find this, combine like terms.

8x - 2x is 6x, then add the two x's on the side to bring it back to 8x.

Hope this helps!

4 0

3 years ago

Read 2 more answers

How much salt should Ilya add to 810g of water to make 10% solution? How much solution will he make? Ilya should add __g of salt

Burka [1]

Answer:

90 g of water should be added and he will make 900 g of solution.

Step-by-step explanation:

Let x g be the amount of salt Ilya add to 810g of water to make 10% solution. Then 810+x g is the amount of new solution. Thus,

810+x - 100%,

x - 10%.

Mathematically,

$\dfrac{810+x}{x}=\dfrac{100}{10},\\ \\10(810+x)=100x,\\ \\8100+10x=100x,\\ \\100x-10x=8100,\\ \\90x=8100,\\ \\x=\dfrac{8100}{90}=90\ g.$

So 90 g of water should be added and he will make 810+90=900 g of solution.

5 0

2 years ago

What is the sum of the angles of a quadrilateral

posledela

A quadrilateral always has interior angles that add up to 360 degrees.

6 0

3 years ago

Read 2 more answers