Mathematics High School

Solve for the variable using Trig ratio.

Answers

Answer 1

Answer:

x = 3.86

a = 5.86

Step-by-step explanation:

From the triangles attached,

By applying cosine rule in triangle 1,

cos(50)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

cos(50)° = [tex]\frac{x}{6}[/tex]

x = 6cos(50)°

x = 3.86

Now we apply sine rule in the second triangle,

sin(23)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

sin(23)° = [tex]\frac{a}{15}[/tex]

a = 15sin(23)°

a = 5.86

Related Questions

Help! What are the answers?!! I'll give a brainlist.

Answers

1) D
2) A
3) C
4) B
5) A
6) D

Solve the following quadratic by completing the square. (Hint: It won't factor) x2-10x+5=0

Answers

[tex]5+2\sqrt{5} , 5-2\sqrt{5}[/tex] Answer: 5±2[tex]\sqrt{5}[/tex]

Step-by-step explanation:

x2 -10x=5=0

x2-10x+25=-5+25

(x-5)(x-5)=20

[tex](x-5)^{2} =\sqrt{20}[/tex]

[tex]\sqrt{x-5}=\sqrt{20}[/tex]

x-5=±[tex]\sqrt{20[/tex]

x=5±[tex]\sqrt{5*4[/tex]

x=5±2[tex]\sqrt{5}[/tex]

convert the word three and five tenths into a fraction

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Your answer would be 3 5/10. (3 and 5/10).

please help ASAP!!!!!!

Answers

X=57
Explanation:
63+60=123
180-123=57
When 63 and 60 are added together, you will be able to find x. Subtracting 180 from the sum of 63 and 60 will find x.

You buy five books that are equal in
price and a DVD for $8. Your total
comes to $26.50. Write an equation
that would help you determine the cost
of one book.
( Hint it’s not 3.70!)
Please help!

Answers

If it’s not $3.70, maybe it’s looking for the equation instead like b = (26.50 - 8)/5?

If the perimeter of the triangle is 60, what is the value of y?

Answers

Answer:

y = 5

Step-by-step explanation:

Given:

In the right triangle the hypotenuse is 5y, one leg is 4y, the other leg is missing

Missing side of the triangle is:

√(5y)² - (4y)² = √(3y)² =3y

Perimeter is 60:

3y + 4y + 5y = 6012y = 60y = 60/12y = 5

pls help how do u do this???

Answers

Answer:

well well well

Step-by-step explanation:

free points

can yall help me or not?

Answers

Answer

desktop for 1st because it sold less computers and made more money.

for 2nd laptops 1.53 and computer 4.34

Step-by-step explanation:

Need a quick answer please

Answers

Answer:

X=22

Step-by-step explanation:

All the angles in every triangle must add up to 180 so we can subtract 23 and 135 from 180 to get 22.

Answer:

x=22

z=135

y=23

Step-by-step explanation:

First, start with x in the picture. All angles in a triangle add up to 180 degrees. So, add 135+23 and then subtract that from 180.

135+23=158

180-158 = 22 degrees

Angle z is congruent to the larger angle on the other triangle. So, that means z=135.

Angle y is equal to the angle across from it. Y=23

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

Step-by-step explanation:

Pls solve this...need help thanks :)

Answers

Step-by-step explanation:

2² * 3 * 5 = 4 * 3 * 5 = 60.

3² * 5² = 9 * 25 = 225.

Answer:

A) 60

B) 225

Step-by-step explanation:

A) The factorization of a number is finding the factors that, when multiplied together, form the original number. As an example, one instance of the factorization of 24 would be 6 and 4, since 6 × 4 = 24.

The prime factorization of a number is finding the factors of a number and restricting them to only include primes, which are numbers with no other factors except themselves and 1.

Hence, all you have to do for A) is to multiply all the factors together, which is [tex]2^{2} \cdot 3 \cdot 5[/tex], which equates to 60.

B) Since this three-digit number has 5 as a prime factor, it has to end in a 5 or 0. This narrows our search hugely.

Accounting for the fact it has a 3 as a prime factor, the number has 3 × 5 = 15 as a factor. This yet again narrows our search hugely.

Finally, to find the square number, there is actually a really simple way of doing this; simply square 15 to get 225. We can confirm this is a square number because we squared 15 to get that number; hence, 225 is an answer.

Hope this helped!

Write an equation of the direct variation (the line has a y-intercept of (0,0)) that includes the point (3,18).
Desmos Graphing Calculator
Algebra I STAAR Formula Chart
Calculator
Y=12
y = -6x
y 63

Answers

2b. 1, 3, 9, 27, 81

3a. geometric; r = 1/5

3b. arithmetic; d = -9

4. 234

5. 1/32

Step-by-step explanation:

2a. Start with the first term and add the common difference to get the next term.

0.7

0.7 -0.4 = 0.3

0.3 -0.4 = -0.1

-0.1 -0.4 = -0.5

-0.5 -0.4 = -0.9

The first 5 terms are 0.7, 0.3, -0.1, -0.5, -0.9.

2b. Start with the first term and multiply by the common ratio to get the next term.

The first 5 terms are 1, 3, 9, 27, 81.

3a. Obviously, the difference between 40 and 8 is not the same as the difference between 8 and 1.6. So, we look to see if the ratios are the same. They are:

8/40 = 1.6/8 = 1/5

This is a geometric sequence with a common ratio of 1/5.

3b. If the sign changes, but does not alternate, it cannot be a geometric sequence. The common difference is ...

-5 -4 = -14 -(-5) = -9

This is an arithmetic sequence with a common difference of -9.

4. Use n=50 and evaluate.

[tex]a_{50}=-11+5(50-1)=\boxed{234}[/tex]

5. Use n=7 and evaluate.

[tex]g_7=2\cdot\left(\dfrac{1}{2}\right)^{7-1}=\dfrac{2}{2^6}=\dfrac{1}{2^5}=\boxed{\dfrac{1}{32}}[/tex]

What does the word variable mean in mathematics in your own words?

Answers

A variable is a letter in place of a number which you will later have to substitute

Which number line shows the points −125 and –2.8?

Answers

You didn’t send a picture so we can’t tell

Daisy went deep sea diving. She makes the first stop in her descent at 25 meters below the surface of the water. From that point she dives down further, stopping every 5 meters. If she makes 3 additional stops, which number represents her position, relative to the surface of the water?

Answers

Answer:

-45 M

Step-by-step explanation:

The surface of the water is at 0 m. Heights above the surface are positive and depths below the surface are negative.

IF THIS NOT HELP TELL ME AND IL TRY AGAIN!!!

Write the following expression in word form: 4,568.050

Answers

Answer:

four thousand five hundred and sixty eight and fifty hundredths

Step-by-step explanation:

Answer:

four thousand five hundred sixty -eight, and fifty Hundredths

Step-by-step explanation:

A grandparent deposits $3,000 each year into an annuity that pays 8% interest. Find
the future value at the end of 10 years.

Answers

4590 because I honk the teacher o

Find the missing measurements.Use 3.14 for Pi. Round all the answers to the nearest hundreth

Answers

Answer:

R=5.0095

D=25.0955

Step-by-step explanation:

C=r^2(3.14)

C=d(3.14)

78.8/3.14=d

Square root diameter to get radius.

g(c)=19−c^2

What is g(4)?

Enter your answer in the box.

Answers

Answer:

g(4)=3

Step-by-step explanation:

Answer:

g = 19

Step-by-step explanation:

Help and I’ll give brainlest answer

Answers

The answer is -88

When you multiply and then divide

What's 4/5 as a percentage?

Answers

Answer:

80%

Step-by-step explanation:

% is out of 100 so make the denominator of 4/5 to be 100:

4/5 times 20/20 = 80/100 = 80%

Answer:

80%

Step-by-step explanation:

4 divided by 5 equal .8

.8 x 100 equals 80

It's multiplied by 100 because usually percentages are out of 100.

You can move the decimal in .8 to 2 space to the right

The triangles on the grid below represent a translation.

On a coordinate plane, triangle A B C is shifted 5 units to the right and 3 units up to form triangle A prime B prime C prime.

To form the image, the pre-image moved
five units right and three units up.
two units right and three units up.
five units left and three units down.
two units left and three units down

Answers

Answer:

Step-by-step explanation:

did it on edge

Answer:

A. five units right and three units up.

Step-by-step explanation:

full answer = To form the image, the image moved

five units right and three units up.

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Answers

-3>-4 because the number line shows it going to the right side which means the number is bigger then -4 so the only bigger answer is -3 and is correct

Answer:

B. -3 > -4

Step-by-step explanation:

have a nice day!!

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