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madreJ [45]
3 years ago
11

Question 4

Mathematics
1 answer:
PIT_PIT [208]3 years ago
5 0

Answer:

C = 23.5 in

Step-by-step explanation:

θ = 43°

The length of the side opposite to θ = 16 in.

Hypotenuse = DK

Apply trigonometric ratio, thus:

sin(θ) = opp/hyp

Plug in the values

sin 43 = 16/DK

Multiply both sides by DK

DK*sin 43 = 16

Divide both sides by sin 43

DK = 16/sin 43

DK = 23.5 (nearest tenth of an inch)

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Find the measure of one interior angle in each regular polygon. round your answer to the nearest 10th if necessary.
dem82 [27]

Answer:

140 degree or Answer D

Step-by-step explanation:

140 degrees is the answer for a Nonagon

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Convert the degrees measure 180° to radian measure.
Mandarinka [93]
180° = 3.1415926536 rad
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write the equation of the line that is perpendicular to the line y=-1/5x+9 and passes through the point (-2,-2)
OLEGan [10]

Answer:y=5x+8

Step-by-step explanation: the perpendicular slope is going to be the negative reciprocal of your given slope. In this case the perpendicular line has a slope of 5, because u flip -1/5 to make -5 and u negate -5 to make 5. This perpendicular slope passes through (-2,-2) and u find the y intercept like this: -2=(5(-2))+b. Therefore the y intercept is 8 and the perpendicular slope is y=5x+8

4 0
4 years ago
1. Find the product. Simplify. 13/14 of 10/9. A. 15/42 B. 5/21 C. 2/7 D. 5/6 2. Andy has 5 pots, and each pot can hold 3/8 pound
Rufina [12.5K]

1) Resultant fraction: \frac{65}{63}

2) Total soil: 1\frac{7}{8} pounds

3) Result of the product: \frac{35}{2}

Step-by-step explanation:

1)

In this problem, we want to find the product between the two fractions

\frac{13}{14}

and

\frac{10}{9}

In order to find this product, we have to multiply the numerators of each fraction and the denominators of each fraction. We get:

\frac{13}{14}\cdot \frac{10}{9}=\frac{13\cdot 10}{14\cdot 9}=\frac{130}{126}

Now we simplify, dividing both numerator and denominator by 2:

\frac{130/2}{126/2}=\frac{65}{63}

And the fraction cannot be further simplified.

2)

Here we have:

n = 5 (number of pots that Andy has)

s=\frac{3}{8} (amount of soil (in pounds) that each pot can contain)

In order to find the amount of soil that Andy needs to fill all the pots, we have to multiply the number of pots (n) by the amount of soil that each pot can contain (s).

If we do so, we find:

t=n \cdot s = 5 \cdot \frac{3}{8}=\frac{5\cdot 3}{8}=\frac{15}{8}

Which can be rewritten as a mixed fraction as:

\frac{15}{8}=\frac{8+7}{8}=\frac{8}{8}+\frac{7}{8}=1\frac{7}{8}

3)

Here we want to find the result of the following product:

4\frac{2}{3}\cdot 3\frac{3}{4}

In order to do so, we first have to rewrite each fraction as an improper fraction.

For the 1st fraction:

4\frac{2}{3}=\frac{4\cdot 3+2}{3}=\frac{12+2}{3}=\frac{14}{3}

For the 2nd fraction:

3\frac{3}{4}=\frac{3\cdot 4+3}{4}=\frac{12+3}{4}=\frac{15}{4}

Now we can finally find the product of the two fractions:

\frac{14}{3}\cdot \frac{15}{4}=\frac{14\cdot 15}{3\cdot 4}=\frac{210}{12}=\frac{35}{2}

Where in the last step, we divide both the numerator and the denominator by 6.

Learn more about fractions:

brainly.com/question/605571

brainly.com/question/1312102

#LearnwithBrainly

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What is the slope of =-8x +3
sveta [45]

Answer:

-8

Step-by-step explanation:

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