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4 years ago

The ratio of the measures of two complementary angles is 7:8. What is the measure of the smaller angle

Mathematics

1 answer:

patriot [66]4 years ago

6 0

Answer: 42°

Step-by-step explanation:

Complimentary angles are angles sum up to make 90°

From the ratio given 7:8,

Add the ratios together and find the smaller angle as follows

7 + 8 = 15

Therefore,

⁷/₁₅ x 90 = 42°

The smaller angle is 42°

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Your cell phone bill is automatically deducting $32 from your bank account every month. How much will the deductions total for t

Dafna1 [17]

Answer:

Every year, the deductions total up to $384 a year, because 12 x 32 = 384. :)

3 0

3 years ago

Solve the system of equations below by graphing.

algol [13]

ANSWER

The correct answer is B

<u>EXPLANATION</u>

The first function is

$x^2-2x+y-3=0$

We make y the subject to obtain;

$y=-x^2+2x+3$

Let us quickly write this in the vertex form.

$y=-(x^2-2x)+3$

$y=-(x^2-2x+(-1)^2)+3+(-1)^2$

$y=-(x-1)^2+4$

Since the $a$ is negative, the graph opens up.

The vertex is at $(1,4)$

The y-intercept is $-3$

The x-intercept is found by equating the function to zero.

$-(x-1)^2+4=0$

$\Rightarrow (x-1)^2=4$

$\Rightarrow (x-1)=\pm 2$

$\Rightarrow x=1 \pm2$

$\Rightarrow x=-1,3$

With these information we can quickly sketch the graph as shown in the attachment(the red graph).

For the second function,

$x^2+y=0$

we again make y the subject to obtain,

$y=-x^2$

This is a basic quadratic function that can be graphed easily. Note that it is also a maximum graph.

From the graph the solution to the two functions is

$(-1.5,-2.25)$

3 0

3 years ago

What is the area of this rectangle?

Akimi4 [234]

$8 \times 5 = 40 \div 2 = 20$

5 0

3 years ago

Read 2 more answers

The number of enrollees in health maintenance organizations (HMOs) in Illinois in a recent year was 2,462,170. This was a 42.2%

Katarina [22]

Answer:

The former number of enrollees was 1423135

Step-by-step explanation:

Current number of enrollments in Health Maintenance Organizations in Illinois in recent year = 2462170

Now, it is found that this number is a result of 42.2% increase from the last year.

So, Previous year the number of enrollments is 42.2% less than the recent number of enrollments

Now, Former number of enrollments = 2462170 - 42.2% of 2462170

= 2462170 - 0.422 × 2462170

= 2462170 - 1039035.74

= 1423134.26 ≈ 1423135

Hence, The former number of enrollees was 1423135

5 0

3 years ago

NEED ANSWER ASAP!!!

ExtremeBDS [4]

Answer:

a=4+2/x <-- 2 over x its a fraction

Step-by-step explanation:

5 0

4 years ago