In a right triangle, one acute angle is 22º and the hypotenuse is 70 cm. Find the
lengths of the legs and the other angle measure.

Answers

Answer 1

Answer:

Adjacent leg (In relation to the angle that is measure 22 degrees)= 70*Cosine 22 or 64.9; Opposite leg (In relation to the angle that is measure 22 degrees)=70* Sin 22 or 26.22

Step-by-step explanation:

The other angle measure is 90-22 or 68.

To find the length of the adjacent leg (a) use cosine. Remember cosine is Adjacent leg over hypotenuse.

Cosine 22= a/70- Multiply by 70

70* Cosine 22=a or about 64.9

To find the length of the opposite leg (o) use sine. Remember sine is Opposite leg over hypotenuse

Sine 22= o/70

70*Sine 22=o

o= about 26.22


Related Questions

La ecuación de la recta que pasa por los puntos (2,-1) y (1,-5) es:


y= 4x+9




y= 4x-9




y= x-9


ninguna de las anteriores

Answers

Given:

A line passes through the points (2,-1) and (1,-5).

To find:

The equation of the line.

Solution:

If a line passes through the two points, then the equation of the line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

The line passes through the points (2,-1) and (1,-5). So, the equation of the line is

[tex]y-(-1)=\dfrac{-5-(-1)}{1-2}(x-2)[/tex]

[tex]y+1=\dfrac{-5+1}{-1}(x-2)[/tex]

[tex]y+1=\dfrac{-4}{-1}(x-2)[/tex]

[tex]y+1=4(x-2)[/tex]

Using distributive property, we get

[tex]y+1=4(x)+4(-2)[/tex]

[tex]y+1=4x-8[/tex]

Subtract 1 from both sides.

[tex]y+1-1=4x-8-1[/tex]

[tex]y=4x-9[/tex]

Therefore, the correct option is B.

solve the equation=3x =15​

Answers

3x = 15

x = 15/3

x = 5

Answer:

x = 5

Step-by-step explanation:

3x = 15

x = 15/3

x = 5

Which equation would Anthony solve to find the lateral surface area of a triangle prism with a base perimeter of 18 and height of 11?

Answers

Answer:67

Step-by-step explanation:

cv0627 answer this :))

Answers

they took my first answer off, so i came back. but honestly thank you for the points. have an amazing day!

Please help me with finding the length of AC. I’ll make this 20 points since it’s kinda long. Please don’t guess my grades depends on it

Answers

Since the triangle is a right angled, to find one side we should use the pythagoras theorem.

The longed side of the triangle is called the hypotenuse.

In equation form:  x² + y² = z²

Therefore: 12² + x² = 13²

114+x²= 169

x²= 169-114

x²= 55

x = 7.41

Therefore the length of AC = 7.41

PLEASE HELP WHAT IS THE ANSWER SHOW WORK PLEASE !!!

Answers

Answer:

d = 6.1m

n = 7km

Step-by-step explanation:

To find the variables, use tan

⇒ tan = [tex]\frac{opposite}{adjacent}[/tex]

finding d:

⇒tan 63 = [tex]\frac{d}{3.1}[/tex]

tan of 63 is 1.963

⇒ 1.963 = [tex]\frac{d}{3.1}[/tex]

multiply 3.1 on both sides

⇒ 1.963 x 3.1 = [tex]\frac{d}{3.1}[/tex] x 3.1

⇒ 6.0853 = d

round to the nearest tenth:

⇒ 6.0853 = 6.1

finding n:

⇒ tan 45 = [tex]\frac{7}{n}[/tex]

tan of 45 is 1

⇒ 1 = [tex]\frac{7}{n}[/tex]

multiply 7 on both sides:

⇒ 1 x 7 = [tex]\frac{7}{n}[/tex] x 7

7 = n

Answer:

D = 1.4, N =

Step-by-step explanation:

To get D you need to find the cosine of 63 degrees

Cosine(63) = D / 3.1

Multiply by 3.1 to isolate D :

3.1Cosine(63) = D

Put it into a calculator and you'll get 1.4.

Also, it's a 45-45-90 triangle so the 2 legs will be equal to each other.

Proof: To get N put you have to do the tangent of 45 degrees

Tan(45) = 7 / N

Now you can't to do this you have to multiply the both sides by N

N(tan(45)) = 7

Then divide both sides by (tan(45))

N = 7 / (tan(45)

Put it into the calculator and you'll get

I need help for geometry

Answers

the answer is 38 i believe?

You're having a party, and what party is complete without cupcakes? You decide that you're going to
make your own. You've invited some friends to the party. The recipe for cupcakes calls for 7 cups of
flour and 4 cup of milk. To remember this better, your mom suggests that you use a ratio.
1. What is the ratio of flour to milk? Write it in 3 ways.
2. What is you have more friends come over and your mom gives you 35 cups of flour to make
more cupcakes. How much milk will you need now? Draw a bar diagram to represent and
solve the problem.

Answers

Answer:

Answers are down below!! ;)

Step-by-step explanation:

1. 7  :  4

  7 or 4

  7 to 4  

2. You will need 20 cups of milk.

ratio = 35:20

explanation: 35/7 = 5 and 4 x 5 =20

Bar diagram: (sorry it looks messy)

                     

cups of flour l____________________________________________

cups of milk  l_____________________

                     _________________________________________________

                     2   4  6  8  10 12  14  16  18  20  22  24  26  28  30  32  34  36  38..

-----------------------------------------------------------

Hope this helps!! ;)

10th grade, plz help ihelppl

Answers

djdksjdhdjdishhsbdbSv

id.k

Four plumbers estimated the length of the radius of a cylindrical pipe. The estimates made by the plumbers are listed.

• Plumber W estimated that the radius had a length of 3/25 inches.
• Plumber X estimated that the radius had a length of \|3/11 inches.
• Plumber Y estimated that the radius had a length of 9/100 inches.
• Plumber Z estimated that the radius had a length of pi/24 inches.

Which list shows these lengths in order from greatest to least?

Answers

Answer:https://brainly.com/question/22157981

Step-by-step explanation:

https://brainly.com/question/22157981

help!! i’m super confused on these math question explain !!

Answers

You are being asked to draw a line perpendicular to the graphed line which passes through the point (-6,5)

The slope of a perpendicular line is the opposite reciprocal: meaning you change the sign (from - to + or from + to -) and flip the numerator and denominator (for example if your slope is -2, the perpendicular line’s slope would be 1/2).

First, find the slope of the graphed line. The two points you are given are (-1, 4) and (-2, 7). The formula for slope is m = (y2 - y1) / (x2 - x1) where m is the slope, and (x1, y1) and (x2, y2) are points. Plugging these points into the slope formula you get:
m = (7-4)/ (-2+1) = 3/-1 = -3.

The opposite reciprocal of -3 is 1/3, so the slope of the new line is 1/3.

In slope-intercept form, equations look like this: y = mx + b. M is your slope, and b is your y-intercept. You know the slope of the perpendicular line is 1/3 but still need to find the y intercept. To do this, first plug in your slope to the formula: y = 1/3x + b. Next, plug in (-6,5) to the equation for x and y and then solve for b.
5 = 1/3(-6) + b
5 = -2 + b
7 = b

Now you know what b is, you now have the full equation of the line: y = 1/3x + 7. You can now graph the line, too.

For #2, you are being asked to draw a line parallel to the graphed line which passes through the point (6,5)

The slope of a parallel line is the same as the slope of the original line.

The two points you are given are (-6,0) and (0,9). Plug these into the slope formula:
m = (9-0)/(0+6) = 9/6

The equation of the parallel line so far is y = 9/6x + b

Plug the point (6,5) into the equation to solve for b.
5 = 9/6(6) + b
5 = 9 + b
-4 = b

The equation is y = 9/6x -4. Now you just have to graph it.

I hope this helps :)

Could you guys please solve these equations?

12x-17 = 6x+7 solve for x
-8b+1 = -5(b + 4) solve for b
350+10(n-7) = 630+2(n-15) solve for n

thank you​

Answers

Answer:

x = 4

b = 7

n = 40

I hope this helps!!!

Step-by-step explanation:

1) 12x-17 = 6x+7

        +17       +17

*do this because you want to get all of the variables to one side and all of the constants to one side*

12x = 6x + 24

-6x    -6x

6x = 24

*divide by 6 to get x alone, so you 24/6 = 4*

x = 4

2) -8b+1 = -5(b+4)

*must multiply -5 by everything in the parenthesises*

-8b+1 = -5b-20

     -1           -1

-8b= -5b-21

+5b  +5b

-3b = -21

b = 7

3) 350+10(n-7) = 630+2(n-15)

350+10n-70 = 630+2n-30

*combine like terms on both sides of the equation*

280+10n = 600+2n

-280           -280

10n = 320+2n

-2n            -2n

8n = 320

n = 40

The formula for calculating annual insurance premiums is
A. p = 12rb
B. p= 2drb
C. p= 2drf
D. p = 2rb​

Answers

The formula for calculating the annual insurance is D. p= 2rb

The formula for calculating annual insurance premiums is: D. p = 2rb.​

What is Insurance premiums?

Insurance premium can be defined as an insurance coverage that help to cover expenses incase of unforseen circumstance thereby saving cost.

Annual insurance premium is the amount that a person pays to an insurance company annually which will serve as an insurance coverage.

Inconclusion the formula for calculating annual insurance premiums is: D. p = 2rb​.

Learn more about insurance premium here:https://brainly.com/question/25855858

Im giving Brainliest to the correct answer

Answers

Answer:

                                               

Step-by-step explanation:                    ..............

PLS PLS HELP: GRADE 7 MATH!!!!!

Answers

Answer:

B and D

Step-by-step explanation:

(a) Write 9.1% as a decimal,
(b) Write 0.216 as a percentage

Answers

Answer:

a) 0.091

b) 21.6%

Step-by-step explanation:

a) divide by 100

b) multiply by 100

Eric got $70 for his birthday. He plans to use some of this money to buy a new video game, but he wants to have at least $14 remaining to buy a case for his earbuds. The inequality shown can be used to find g, the amount of money in dollars that Eric can spend on the new video game.


g+14≤70


Which inequality represents all possible values of g?

Answers

Answer:

g ≤ 56

Step-by-step explanation:

56 + 14 ≤ 70

70 ≤ 70

G < 56.................

A tree struck by lightning broke at a point 12 feet above the ground. What was the height of the tree to the nearest tenth of a foot., 12 squared + 39 squared = ??

Answers

Answer:

52.8 feets

Step-by-step explanation:

From the diagram :

The height of tree woulb be :

Height above the ground (at breakpoint) + hypotenus

Hypotenus, h cab be obtained using Pythagoras rule :

h² = opp² + adj²

h² = 39² + 12²

h² = 1665

h = sqrt(1665)

h = 40.804 feets

Height of tree to the nearest tenth ;

40.804 feets + 12 feets

= 52.804 feets

= 52.8 feets

Formula of perimeter square is
a) L×B
b) 2×(L+B)
c) 4×side

Answers

Answer:

B

Step-by-step explanation:

Classify each pair of angles listed below as adjacent or vertical.

Answers

Answer:

Adjacent - DBC and ABC, EBA and ABC

Vertical - ABC and DBE, CBD and EBA

Step-by-step explanation:

A vertical pair of angles are opposite to each other and intersect by two lines. They make an x shape.

Adjacent angles are angles that have a common vertex and side but do not overlap. They make a v shape with another line in the middle.

Can someone plz help me with this one problem plz!!!

I WILL MARK BRAINLIEST!!!

Answers

Answer:

(1,6) , (2,7) , (3,8) , (4,9) , (5,10)

Step-by-step explanation:

Given equation: y = x + 5

when x = 1, y = 1 + 5 = 6

(1,6)

when x = 2, y = 7

(2,7)

when x = 3 , y = 8

(3,8)

when x = 4 , y = 9

(4,9)

when x = 5 , y = 10

(5,10)

Write the polynomial in descending order: 4x + 3x^2 - 1
Group of answer choice

A. 3x^2 + 4x - 1
B. 1 - 4x + 3x^2
C. -1 + 3x^2 + 4x
D. 4x + 3x^2 - 1

Answers

Answer:

3x^2+4x+1

Step-by-step explanation:

Given the polynomial function 4x + 3x^2 - 1

Rearranging in descending order means that we are to arrange the degree power from the highest to the lowest.

The term with the highest degree is 3x^2

Followed by 4x

Then the constant 1

Adding according to the descending powers

The polynomial in descending order will be 3x^2+4x+1

Answer:

It’s A!

Step-by-step explanation:

took the test :)

A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 12 cm, and the base has a
radius of 3.5 cm. How much water is needed to fill 50 cups?
Use 3.14 for pi and do not round your answer.

Answers

Answer: 7693cm

Step-by-step explanation:

The volume of a cone is given as:

= 1/3πr²h

where π = 3.14

radius = 3.5cm

height = 12

Volume = 1/3πr²h

= 1/3 × 3.14 × 3.5² × 12

= 153.86cm³

Therefore, the amount of water that is needed to fill 50 cups will be:

= 153.86 × 50

= 7693cm

HELP ILL GIVE BRAINLIEST

Answers

Answer: The answer is B

Hope this helped love<3

Which angle is complementary to DFE? Pls answer

Answers

Answer:

<DFA

Step-by-step explanation:

When combined (<DFA and <DFE), they'll form 90 degrees which will make them complementary

Answer:

Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees. If two angles are complementary then they will add up to be 90, or inversely, if two angles add up to be 90, then they are complementary. If you know one acute angle, you can calculate its complementary angle by subtracting 90 and the angle. When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles.

The complement of −135° is the angle that when added to −135° forms a right angle (90° ).

Step-by-step explanation:

Write a rule for the function.
24.
Input, x
Output, v
0
6
1
7
8
25.
1
Input, x
Output, y
0.1
10
0.3
30
20

Answers

Answer:

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What’s 4x + 3 = 2x + 23 ?

Answers

Combine like terms

4x+3=2x+23
-3. -3
4x=2x+20
-2x. -2x
2x=20
/2. /2
X=10

Answer:

= 10

Hope this helps if so don't hesitate to 'Thanks' and/or 'brainliest' this answer!

In this triangle what does b equal (it does not give me options)

Answers

The answer is 21.

Hope this helps. Have a nice day.

Can someone help me do 13, 14 and 15 thank u

Answers

Answer:

Step-by-step explanation:

Evaluate the expression 5x – 3x for x = 2.
The x are exponents

Answers

Answer: True. Subtract 3 from 5 and you get x=2
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