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Ainat [17]
3 years ago
9

an angle is 22 degrees smaller than a second angle. the two angles are complementary. what is the measure of the smaller angle?

​
Mathematics
1 answer:
kirza4 [7]3 years ago
6 0

Let the first angle be x°.

Then the second angle shall be (x - 22)°.

The two angles are complementary. Hence their sum shall be 90°.

First angle + second angle = 90°

=> x° + x° - 22° = 90°

=> 2x° = 112°

=> x° = 56°

Hence first angle = x° = 56°.

Second angle = (x - 22)° = 34°.

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Find the slope of the line that passes through (4,2) and (9,1)?
pshichka [43]

Answer:

The slope of the line is \displaystyle -\frac{1}{5}.

Step-by-step explanation:

We are given two coordinate points:

  • (4, 2)
  • (9, 1)

We are asked to find the slope of the line.

We can use the rise-over-run formula to solve for the slope of the line.

\displaystyle \text{slope} = \frac{\text{rise}}{\text{run}}\\\\\text{slope} = \frac{y_2-y_1}{x_2-x_1}

However, we firstly need to name our coordinate points.

In math, we can label our coordinates using the following label system:

(x_1, y_1), (x_2, y_2)

Therefore, we can also label our coordinates as such:

  • x_1 = 4
  • y_1 = 2
  • x_2 = 9
  • y_2 = 1

Now, we can supply these values into the formula and solve for our slope, or a better known variable, <em>m</em>.

\displaystyle m = \frac{1 - 2}{9 - 4}\\\\m = \frac{-1}{5}\\\\m = -\frac{1}{5}

Therefore, our slope is \displaystyle -\frac{1}{5}.

8 0
3 years ago
Read 2 more answers
A culture of 2.4X10^11 bacteria is in a Petri dish A. A culture of 8X10^9 bacteria is in Petri dish B. How many times greater is
Citrus2011 [14]

A culture of 2.4 × 10^11 bacteria is in a Petri dish A

A culture of 8 × 10^9 bacteria is in Petri dish B

Number of times number of bacteria in Petri dish A is greater than that number in Petri dish B:

\frac{Number of bacteria in Petri dish A}{Number of bacteria in Petri dish B} = \frac{2.4 * 10^11}{8 * 10^9}

Divide 2.4 by 8 to give 0.3

Divide 10^11 by 10^9 to give 10^(11-9) = 10^2

The answer is 0.3 × 10²


7 0
3 years ago
A baseball player has a batting average of 0.25. What is the probability that he has exactly 2 hits in his next 7 at bats
marissa [1.9K]

Answer:

The probability that he has exactly 2 hits in his next 7 at-bats is 0.3115.

Step-by-step explanation:

We are given that a baseball player has a batting average of 0.25 and we have to find the probability that he has exactly 2 hits in his next 7 at-bats.

Let X = <u><em>Number of hits made by a baseball player</em></u>

The above situation can be represented through binomial distribution;

P(X = r) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r}; x = 0,1,2,......

where, n = number of trials (samples) taken = 7 at-bats

            r = number of success = exactly 2 hits

            p = probability of success which in our question is batting average

                   of a baseball player, i.e; p = 0.25

SO, X ~ Binom(n = 7, p = 0.25)

Now, the probability that he has exactly 2 hits in his next 7 at-bats is given by = P(X = 2)

          P(X = 2) =  \binom{7}{2}\times 0.25^{2} \times (1-0.25)^{7-2}

                        =  21 \times 0.25^{2} \times 0.75^{5}

                        =  <u>0.3115</u>

5 0
4 years ago
Explain how to graph 5/2<br> on the number line.
Paha777 [63]

Answer:

D

Step-by-step explanation:

We know that 5/2 = 2 1/2, so D is the answer.

3 0
3 years ago
D.
Alex

Answer:

Step-by-step explanation:

This is your correct answer if ur aim is simplification!

3 0
3 years ago
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