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aivan3 [116]
3 years ago
11

The expressions given represent the measures of the acute angles of a right triangle Find the measure of each acute angle.

Mathematics
1 answer:
olasank [31]3 years ago
4 0

Answer:

30, 60

Step-by-step explanation:

The sum of a triangles angles should be 180.

Subtract 90 because it's a right triangle.

180 - 90 = 90

Now we know the sum of the other angles should be 90.

x + 2x = 90

Solve for x.

3x = 90

x = 30

Now you substitute 30 for x.

(30), 2(30)

30, 60

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The terminal side of θ passes through the point (10, 6). What is the exact value of cos θ in simplified form?
seraphim [82]

Answer:

\frac{5\sqrt{34}}{34}

Step-by-step explanation:

The formula for cos θ is a/r. A is the first number (10) and b is the second number (6). R is the hypoteneuse which can be found through r = \sqrt{a^{2} + b^{2}  }.

In the equation you'd write that as r = \sqrt{10^{2} + 6^{2} which can be simplified to \sqrt{136.

You end up with \frac{10}{\sqrt{136} } and you simplify this by doing \frac{10 }{\sqrt{136} } * \frac{\sqrt{136} }{\sqrt{136} }, ending with the result of \frac{5\sqrt{34}}{\sqrt{34} }.

(I also got this answer right on the test.)

5 0
3 years ago
The strip below is divided into 10 equal parts. Fill in the missing fractions and percentages.Note that your fractions don't nee
boyakko [2]

Answer:

1. First box, the missing fraction = 1/10

2. For the 2nd box

a. The missing fraction = 3/10

b. Percentage = 30%

3. For 7/10

Percentage = 70%

Step-by-step explanation:

From the question given above, the following data were obtained:

The strip is divided into 10 equal parts.

1. For the first box:

The missing fraction = 1/10

2. For the 2nd box

a. The missing fraction = 3/10

b. Percentage = 3/10 × 100 = 30%

3. For 7/10

Percentage = 7/10 × 100 = 70%

7 0
3 years ago
Select the solution for the system of linear equations y=3x+4 and y=x+2
Oduvanchick [21]

Answer:

(- 1, 1 )

Step-by-step explanation:

Given the 2 equations

y = 3x + 4 → (1)

y = x + 2 → (2)

Substitute y = 3x + 4 into (2)

3x + 4 = x + 2 ( subtract x from both sides )

2x + 4 = 2 ( subtract 4 from both sides )

2x = - 2 ( divide both sides by 2 )

x = - 1

Substitute x = - 1 into either of the 2 equations and evaluate for y

Substituting x = - 1 into (2)

y = - 1 + 2 = 1

Solution is (- 1, 1 )

3 0
3 years ago
Read 2 more answers
A committee of four students is being randomly selected from a group of twenty students. How many combinations of four students
Cloud [144]

Answer:

4,845

Step-by-step explanation:

Hope this helps:)

7 0
3 years ago
How can the word "LEO MESSI" be arranged so that the vowels do not stay together?
Bas_tet [7]

Answer:

"ELO MESSI"

Step-by-step explanation:

Hope it helps

7 0
3 years ago
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