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Verdich [7]
3 years ago
14

What is the distance around a triangle that has sides measuring 21/8 feet, 31/2 feet and 21/2 feet?

Mathematics
1 answer:
sleet_krkn [62]3 years ago
5 0
Add all of the sides together. Make sure to use a common denominator because you are adding fractions. Don't forget your unit label (feet)
\frac{21}{8} + \frac{31}{2} + \frac{21}{2}
\frac{21}{8} + \frac{124}{8} + \frac{84}{8}
\frac{229}{8} feet

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F(x)=3x2+2x−3 <br><br> g(x)=2x+4
Yakvenalex [24]

Answer:

A: 6

B: 16

C: 2

D: -12

Step-by-step explanation:

They are asking you to multiply the equations:

(3x^2 + 2x - 3)(2x + 4)

Distribute and you should get:

6x^3 + 16x^2 + 2x - 12

The Coefficients A,B,C, and D are 6, 16, 2, and -12.

3 0
2 years ago
Which is the solution set for –7 ≤ 4x + 1 ≤ 5?<br><br> I added a picture !
Oksi-84 [34.3K]
-7\leq4x+1\leq5\ \ \ \ |subtract\ 1\\\\-7-1\leq4x+1-1\leq5-1\\\\-8\leq4x\leq4\ \ \ \ |divide\ by\ 4\\\\-8:4\leq4x:4\leq4:4\\\\\boxed{-2\leq x \leq1\Rightarrow x\in[-2;\ 1]}

\boxed{x\geq-2\ and\ x\leq1}\to\answer{\boxed{C}}
6 0
3 years ago
Read 2 more answers
In a right triangle one leg measures a quarter of the other, how much do its acute angles measure? with procedure please​
KATRIN_1 [288]

Answer:

The answer to your question is 14° and 76°

Step-by-step explanation:

Data

leg 1 = x

leg 2 = x/4

angle 1 = ?

angle 2 = ?

Process

To solve problem use trigonometric functions. We must use the trigonometric function that relates both legs (tangent).

    tangent Ф = Opposite side / Adjacent side

-Substitution

    tan Ф = (x/4) / x

-Simplification

    tan Ф = x / 4x

    tan Ф = 1/4

-  Find Ф

     Ф = tan⁻¹(1/4) =  14°

- Find the other acute angle

  The sum of the internal angles in a triangles equals 180°

       Ф + Ф₁ + 90° = 180

-Solve for Ф₁

        Ф₁  = 180 - 90 - 14

-Result

        Ф₁ = 76°              

3 0
3 years ago
The mean percentange of a population of people eating out at least once a week is 57℅
Sidana [21]

Answer:

<u>The correct answer is B. between 56.45% and 57.55% </u>

Complete statement and question:

The mean percentage of a population of people eating out at least once a week is 57% with a standard deviation of 3.50%. Assume that a sample size of 40 people was surveyed from the population a significant number of times. In which interval will 68% of the sample means occur?

between 55.89% and 58.11%

between 56.45% and 57.55%

between 56.54% and 57.46%

between 56.07% and 57.93%

Source: brainly.com/question/1068489

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Mean percentage of a population of people eating out at least once a week  = 57%

Standard deviation = 3.5%

Sample size = 40

Confidence level = 68%

2. In which interval will 68% of the sample means occur?

For answering this question, we should find out the standard deviation of the sample, using this formula:

Standard deviation of the sample = Standard deviation of the population/√Sample size

Standard deviation of the sample = 3.5/√40

Standard deviation of the sample = 3.5/6.32

Standard deviation of the sample = 0.55

Let's recall that a confidence level of 68% means that 68% of the sample data would have a value between the mean - 1 time the standard deviation of the sample and the mean  + 1 time the standard deviation of the sample. Thus:

57 - 1 * 0.55 = 57 - 0.55 = 56.45

57 + 1  * 0.55 = 57 + 0.55 = 57.55

<u>The correct answer is B. between 56.45% and 57.55% </u>

7 0
3 years ago
Convert 3.92 into mixed fraction in simplest form
anygoal [31]
3.92=3+0.92=3+\frac{92}{100}=3+\frac{92:4}{100:4}=3+\frac{23}{25}=\boxed{3\frac{23}{25}}
8 0
3 years ago
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