Use SOH-CAH-TOA to find the missing side. Step by step.

Use SOH-CAH-TOA To Find The Missing Side. Step By Step.

Answers

Answer 1

Answer:

[tex]180.49[/tex]

Step-by-step explanation:

SOH-CAH-TOA:

In right triangles only:

The sine of an angle is equal to its opposite side divided by the hypotenuse. (o/h)

The cosine of an angle is equal to its adjacent side divided by the hypotenuse. (a/h)

The tangent of an angle is equal to its opposite side divided by its adjacent side. (o/a)

Since we're given an angle, its opposite side, and its adjacent side, we'll use tangent to solve for [tex]x[/tex]:

[tex]\tan 14^{\circ}=\frac{45}{x},\\x=\frac{45}{\tan 14^{\circ}},\\x\approx \boxed{180.49}[/tex].


Related Questions

HELPPPP PLEASEE
How much is Vince paid for one hour of work?
A.
$3.60
B.
$9.00
C.
$9.50
D
$12.00

Answers

Answer:

B

Step-by-step explanation:

Using the graph, we pick a convenient point: (20, 180)

This point means that for 20 hours of work, Vincent is paid 180 dollars. In fraction form, we can write 20hrs/180 dollars. If we simplify the fraction by dividing both the numerator and denominator by 20 we get 1/9 AKA 1hr/9 dollars. So in 1 hour, Vinnie is paid $9.00

Have a good rest of your day

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help

Answers

Answer:

38°

Step-by-step explanation:

The measure of angle NPM is 38°.

To find :Measure of ∠NPM

Solution :

➠ ∠MPJ + ∠LPM = 180°

➠ ∠MPJ + 90° = 180°

➠ ∠MPJ = 180° – 90°

➠ ∠MPJ = 90°

∠NPM = ∠MPJ – ∠JPN

➠ ∠NPM = 90° – 52°

➠ ∠NPM = 38°

∴ Required answer :

∠NPM = 38°

Mariah borrowed $1200 to buy a new computer system. She paid the simple interest loan off in 24 monthly payments of $56 each. What was the interest rate of this loan? a.2%
b.6%
c.4.4%
d.7%

Answers

Answer:

B. 6%

Step-by-step explanation:

Answer:

6%

Step-by-step explanation:

Her 24 monthly payments total 24 x $56 = $1344

That means that $1344 - $1200 = $144 is just interest.  What percent is this of her loan amount?  Divide to find out:

144 / 2400 = 0.06 = 6%

Quadrilateral JKLM has side lengths of JK = 2y + 3, KL = 8x – 10, LM = 5y – 6, and JM = 3x + 20. Find the values of x and y that make quadrilateral JKLM a parallelogram. A. X = 6, y = 6 B. X = 6, y = 3 C. X = 13, y = 3 D. X = 2, y = 1

Answers

Answer:

(6, 3)

Step-by-step explanation:

Note that the opposite side of parallelogram are congruent, hence;

Jk = LM

2y + 3 = 5y - 6

2y - 5y  =-6 - 3

-3y = -9

y = 9/3

y = 3

Similarly;

KL = JM

8x – 10 = 3x+20

8x - 3x =  20 + 10

5x = 30

x = 30/5

x = 6

Hence (x,y) is (6, 3)

Answer:

B.

Step-by-step explanation:

Solve for x.
..................................

Answers

Answer: For 7x-11 is There are no like terms.

I don’t know if you want me to solve because I did “Answer: There are no like terms.” or how you want it because the picture you show it confusing

For 4x-2 is Factor 4x−2

4x−2

=2(2x−1)

Answer:2(2x−1)

Step-by-step explanation: Hope this help :D

USE CALCULATOR PI I NEED HELP ASAP

Answers

Answer:

62 ft is the answer

Step-by-step explanation:

I did the test

Practice 4b
In the diagram, PQRS is a rectangular sloping surface, PQTU is a rectangle on horizontal ground and RI and
SU are vertical lines. PQ = SR=UT = 45 cm, QR = PS = 32 cm and angle RQT= 38º.

Calculate
PR,
(b) RT, and
(c) angle RPT

Answers

Answer:

(a) PR = 55.2 cm

(b) RT = 19.7 cm

(c) <RPT = [tex]20.8^{o}[/tex]

Step-by-step explanation:

(a) to determine the value of PR, apply the Pythagoras theorem to PQR.

PQ = 45, and SP = QR = 32. So that;

[tex]/hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]

[tex]/PR/^{2}[/tex] = [tex]45^{2}[/tex] + [tex]32^{2}[/tex]

          = 2025 + 1024

          = 3049

PR = [tex]\sqrt{3049}[/tex]

     = 55.218

PR = 55.2 cm

(b) To determine RT, apply the appropriate trigonometric function to QRT.

Let RT be represented by x, so that;

Sin [tex]38^{o}[/tex] = [tex]\frac{x}{32}[/tex]

x = 32 * Sin [tex]38^{o}[/tex]

  = 32 * 0.6157

x = 19.7024

RT = 19.7 cm

(c) To determine <RPT, let the angle be represented by θ.

Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

        = [tex]\frac{RT}{PR}[/tex]

Sin θ = [tex]\frac{19.7024}{55.218}[/tex]

         = 0.3568

θ = [tex]Sin^{-1}[/tex] 0.35568

  = [tex]20.84^{o}[/tex]

Thus, <RPT = [tex]20.8^{o}[/tex]

2x - 6 = 10 PLS HELP I NED THE ANSWERS RIGHT AWAY

Answers

Answer:

Step-by-step explanation:

-12

Answer:

x = 8

Why?

Step-by-step explanation:

2(8) - 6 = 10

16 - 6 = 10

there you go :-)

HOPE IT HELPS

(FROM CROSS)

Which expression is equivalent to 14 x minus 21 over 7 ?

Answers

Answer:

-42

Step-by-step explanation:

Which expression is equivalent to 14 x minus 21 over 7 ?

Mathematically this expression is written as:

= (14 × -21)÷ 7

= (14 × -21)/7

= - 294/7

= -42

Therefore, the equivalent of the above expression is calculated as -42

A company is making two types of covered aluminum containers. One is a cylinder with a height of 114feet and a diameter of 1 foot. The other is a rectangular prism with a length of 34foot, a width of 34foot, and a height of 1 foot. How much greater is a cylinder's capacity?

Answers

Answer:

[tex]V_d=976.9ft[/tex]

Step-by-step explanation:

From the question we are told that:

Height of cylinder h_1=114 feet

Diameter d=1

Length of triangular prism [tex]l_2=34ft[/tex]

Width of triangular prism  [tex]w_2=34ft[/tex]

Height of triangular prism [tex]h_2=1 ft[/tex]

Generally the equation for Volume of the cylinder is mathematically given by

 [tex]V_c=\pir^2h[/tex]

Where

 [tex]r=d/2\\r=0.5[/tex]

Therefore

 [tex]V_c-=\pi*0.5*114[/tex]

 [tex]V_c=57\pi[/tex]

 [tex]V_c=179.1ft[/tex]

Generally the equation for Volume of a Rectangular prism is mathematically given by

 [tex]V_r=whl[/tex]

 [tex]V_r=34*34*1[/tex]

 [tex]V_r=1156feet[/tex]

Generally the equation for Volume difference  is mathematically given by

 [tex]V_d=V_r-V_c[/tex]

 [tex]V_d=1156-179.1[/tex]

 [tex]V_d=976.9ft[/tex]

PLEASE ANSWER!!!!!!!!!!

Answers

8x6y3 so the last one

Answer:

The answer would be C, or 3

Step-by-step explanation:

2x with a power of 2 to the power of 3 is 6x, with a power of five, plus y to the fower of 3.

Pls hurry, will mark brainliest

Answers

Answer:

B is correct

Step-by-step explanation:

Answer: b
Hope this helps

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

i would help but i can’t see it

Please help! Math is my worst subject

Answers

Answer:

it's answer is 73°

Step-by-step explanation:

< DCB = 50°

< ACB = x

< CAB = 57°

< ABC = < DCB = 50° {Being alternate angles }

Now

x + 50° + 57° = 180° { being sum of angles of triangle }

x + 107° = 180°

x = 180° - 107°

Therefore x = 73°

Hope it will help :)❤


In a class-test, the ratio of students passing in English only and Maths only is
2:3. Out of 314 students 15 were absent, 75 failed in both the subjects and
24 passed in both the subjects.
(i)How many students passed in English?
(ii) How many students passed in Mathematics?

Answers

Answer:

(¡)...2 + 24

= 26

¡¡)..3+24

27

Sally plays a game for 1 and 5-sixths hours. Judy plays a game 1-half hour longer than Sally. Question How many hours does Judy play her game? Move numbers to the boxes to show the answer. If there is no whole number, put a 0 in the first box.

Answers

Answer:

2 1/3 hours or 2 hrs, 20 min

Step-by-step explanation:

1 5/6 + 1/2

make mixed number into improper fraction and change 1/2 to 3/6

11/6 + 3/6 = 25/6

14/6 equals 2 2/6 which simplifies to be 2 1/3 or 2 hrs, 20 min

Which points reflected of each other across both exes PLEASE HELP ASAP

Answers

Answer:

I am pretty sure it is (-2,8) and (2,-8)

Step-by-step explanation:

I think my answer is correct because it goes from Quadrant 1 into 4. Other answers are just I quadrant away.

After jumping rope for 15 minutes, Jan took a break. If Jan took a break at 3:05 p.M., at what time did she start jumping rope?

Answers

Answer: 2 : 50 pm

Step-by-step explanation:

If Jan took a break at 3:05 pm and she had been jumping rope for 15 minutes before that, to find the time she started jumping rope, subtract 15 from the current time:

= 3:05 - 15

= 2:50 pm

Jan started jumping rope at 2 : 50 pm

find the value of X to the nearest tenth:

Answers

Answer:

13.0

Step-by-step explanation:

sin(65°) × 14.3 would give u 12.9 then u round it to the 13

Using the given equation find the missing coordinates o the points and then find the slope of the line for each equation y-2x=3; A(...;6), B(15; ...)

Answers

Answer:

(1.5,6)(15,33) slope=2

Step-by-step explanation:

Answer:

y-2x=3; A(1.5, 6) B(15,33) Slope = 2

Step-by-step explanation:

First thing, you add 2x on both sides and get y=2x+3. Since the equation y=mx+b states that m is the slope, the slope is 2.

2nd step is finding the missing coordinate for a. You plug in 6 as the y in the equation y=2x+3, and then get 2x+3=6. Now it is a simple algrebraic equation and you get x=3/2 or 1.5.

The final step is to solve for B. Using the equation y=2x+3, and substituting in x as 15, you get y=30+3 which equals 33.

I hope this gave you an in depth explanation on solving these problems!

please help i cannot get it ​

Answers

Pi symbol raised to the 3 times x raised to the 4

What is the volume of a cone with a diameter of 12 inches and a height of 4
inches? *

Answers

Answer:

48 cubic inches

Step-by-step explanation:

Answer:

192π

and or [tex]603in^{3}[/tex]

Step-by-step explanation:

Which of the following expressions is equivalent to -6?
A: -9 + 15
B: 9 - (-15)
C:-9 - 15
D: 9 + (-15)

Answers

Answer: D This is because when you add 9 to -15, -15 is bigger so it turns negative and then it equals up to -6.

Of the marbles in a bag, 2 are blue, 4 are yellow, and 5 are green. Sandra will randomly choose
one marble from the bag. Fill in the blanks in parts a and b.
Thomh

Answers

Answer:

2 blue marbles;

4 yellow marbles;

5 green marbles;

11 marbles in total;

The chance of choosing a blue marble is 2 out of 11 or 2/11

It is unlikely that Sandra will choose a blue marble from the bag.

determine if the pair of triangles are similar im begging plz help

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

because the lines go in the order of the side than the angle and than the other side- and the lines also determine if the two sides are equal- i dont know if that makes sense

A rectangular logo is made up of 3 squares and 8 small squares the length of the rectangle is 36 cm

Find the area of the logo ​

Answers

Answer:

The total area is 594cm.²

Step-by-step explanation:

The top and bottom each have a length of 36 cm.

Blue side:

36/3= 12cm. (36/3 for the length of one side of a blue square)

12*12= 144cm.² (area of one blue square)

144*3= 432cm.² (area of all the blue squares)

Orange side:

36/8= 4.5cm. (the length of one side of an orange square)

4.5*4.5= 20.25cm.² (the area of one orange square)

20.25*8= 162cm.² (the area of all the orange squares)

Total area:

432+162= 594 cm.²

I hope this makes more sense, have a great day :D

Which gives the line of best fit?

f(x)=45x

f(x)=x

f(x)=2x

f(x)=45x+45

Answers

Answer:

f(x) = x

Step-by-step explanation:

example of points on line: (40,40), (45,45), (50,50)

x-values are the same as y-values which means the line is y=x

2) 2(8r + 5) = 24 + 9r

Answers

Answer:

r = 2

Step-by-step explanation:

2(8r + 5) = 24 + 9r

16r + 10 = 24 + 9r

16r - 9r = 24 - 10

7r = 14

r = 2

What is the solution of 1/2 x + 3x = 14?​

Answers

I worked out the solution and I got x=4

A . 4
B . 16
C . 8
D . 2

Answers

Answer:

c

Step-by-step explanation:

I agree with the other person it is C
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