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MAVERICK [17]
2 years ago
12

Need help trigonometry​

Mathematics
1 answer:
pochemuha2 years ago
3 0

Answer:

The measure of angle F is 67.6°

Step-by-step explanation:

In the right triangle DEF

∵ ∠E is the right angle

∵ Side DF is opposite to ∠E

∴ DF is the hypotenuse of the triangle DEF

∵ Side EF is the adjacent side of ∠F

∵ The cosine ratio = \frac{Adjacent}{Hypotenuse}

∴ cos∠F = \frac{EF}{DF}

∵ EF = 8 units

∵ DF = 21 units

→ Substitute them in the cosine ratio above

∴ cos∠F = \frac{8}{21}

→ Use cos^{-1} to find the measure of angle F

∵ m∠F = cos^{-1}(\frac{8}{21})

∴ m∠F = 67.60731219 degrees

→ Round it the nearest tenth of a degree

∴ m∠F = 67.6°

∴ The measure of angle F is 67.6°

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Figure I and Figure II are similar figures,
ELEN [110]

The ratio of corresponding sides is same for all the sides for similar polygon. the correct proportion is,

\frac{ST}{EF}=\frac{WR}{CD}

Thus the option H is the correct option.

To find the correct proportion we need to know about the properties of slimier polygon.

<h3>What are the properties of similar polygon?</h3>

Two polygons are said to be similar or congruent pentagon-

The corresponding angle of two pentagons are congruent.

The ratio of corresponding sides is same for all the sides.

The figure given in the problem of similar two polygons with six sides.

Rearrange the second figure as shown in figure.

As for the similar polygons, the ratio of corresponding sides is same for all the sides.

Thus the sides shown in the two rearranged figure must be same. Therefore,

\frac{ST}{EF}=\frac{WR}{CD}

Hence the correct proportion is,

\frac{ST}{EF}=\frac{WR}{CD}

Thus the option H is the correct option.

Learn more about the similar polygon here;

brainly.com/question/771807

8 0
1 year ago
a test for a certain drug has a 0.1% probability of producing a false positive. if a company hired 500 drug-free employees, what
Natasha_Volkova [10]

The probability of obtaining at least 1 false positive if the number of employees is 500 is 0.5

Probability

In the statistics concept, the probability refers the possible number of way of happening the particular event.

Given,

A test for a certain drug has a 0.1% probability of producing a false positive.

Here we need to find  the probability of obtaining at least 1 false positive if  a company hired 500 drug-free employees.

In the given question, we have the following values,

=> number of employees = 500

=> Probability of false positive = 0.1%

So, the probability of obtaining at least 1 false positive is calculated as,

=> 500 x 0.1/100

=> 5 x 0.1

=> 0.5

Therefore, the probability of obtaining at least 1 false positive is 0.5.

To know more about Probability here.

brainly.com/question/11234923

#SPJ4

6 0
1 year ago
What is the rate of change of the following equation?<br> y = 5 X-3
Vadim26 [7]

Answer:Graph the line using the slope and y-intercept, or two points.

Slope:

5

y-intercept:

3

x

y

0

3

1

8

Step-by-step explanation:

7 0
2 years ago
PLEASE ANSWER ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Roman55 [17]

Answer:

A

Step-by-step explanation:

if these are fractions than its A.

2x-4=2

4x-5=5/4

6 0
2 years ago
An equation is shown below:
IrinaK [193]
5(2x - 8) + 15 = -15
               -15      -15     subtract 15 from each side
5(2x - 8) = -30
  ÷5             ÷5             divide both sides by 5
2x - 8 = -6
     +8    +8                   add 8 to each side
2x=2
÷2  ÷2                          divide both sides by 3
x = 1

Checking:
5(2(1)-8) + 15 = -15
5(-6) + 15 = -15
-30 + 15 = -15
-15 = -15             Correct! x=1
7 0
3 years ago
Read 2 more answers
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