Find the value of each variable. Round your answers to the nearest tenth. (Soh Coh Toa)

Find The Value Of Each Variable. Round Your Answers To The Nearest Tenth. (Soh Coh Toa)

Answers

Answer 1

Answer:

k = 8.4, j = 13.1

Step-by-step explanation:

Solve for k:

[tex]tan(40)=\frac{k}{10}\\10(tan(40))=k\\8.4=k[/tex]

Solve for j:

[tex]8.4^2+10^2=j^2\\70.56+100=j^2\\170.56=j^2\\13.1=j[/tex]

Answer 2

Answer:

k = 10 tan (40) = 8.39 (to 2 decimals)

J = 10 / cos(40) = 13.05 (to 2 decimals)

Step-by-step explanation:

It is SOH CAH TOA, or

Sin = Opposite / Hypotenuse

Cos = Adjacent / Hypotenuse

Tan = Opposite / Adjacent

Using SOH CAH TOA,

tan(40) = k/10, so k = 10 tan (40) = 8.39 (to 2 decimals)

cos(40) = 10 / j, so J = 10 / cos(40) = 13.05 (to 2 decimals)


Related Questions

someone help tysm will give brainliest !!

Answers

Answer:

11. A) x = 2 .    B) x=-1 .   C) x = 0

12. A) y = 20 . C) y = -3 . D) y = 0

Step-by-step explanation:

When the line is vertical, take the x coordinate

When the line is horizontal, take the y coordinate

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

find the inverse function

Answers

Answer

[tex] {f}^{ - 1} (x) = \frac{5}{2} x - 5.[/tex]

Step by step

[tex]y = \frac{2x}{5} + 2[/tex]

Swap roles of x and y

[tex]x = \frac{2}{5} y + 2[/tex]

Then

[tex]5x = 2y + 10[/tex]

So

[tex]2y = 5x - 10[/tex]

Hence

[tex]y = \frac{5}{2} x - 5[/tex]

Therefore

[tex] {f}^{ - 1} (x) = \frac{5}{2} x - 5.[/tex]

14. Evaluate the expression.
4!
24
28
20

Answers

Answer:

24.

Step-by-step explanation:

By definition,  factorial 4

= 4!

= 4*3*2*1

= 24.

the answer is 24!!!
it just is!

Evaluate expression- Which of these answer choices are correct answer to the question

Answers

Answer:

i=10^5

eq is 2^n*i

hence 2^3*10^5

8*100000

=800.000 bacteria

pls mark as brainliest

At 6 a.m., the temperature was –8°C. By noon, the temperature had risen 6°C. The temperature at 6 p.m. was –10°C. Which integer represents the temperature change between noon and 6 p.m.?
–24
–12
–8
–4

Answers

Answer:

-8

Step-by-step explanation:

so -8 + 6 = -2. and then for that to drop to -10, it would have to change -8 degrees

Answer:

Step-by-step explanation:

-8 is the answer

Help, please. I really need help one this

Answers

Answer:

2#) 20f+15-2f

18f+15

2#) choose 1

3#)60-3h-9

51-3h —> 3(17-h)

3#)choose 1

4#) 4(5x+3y)

20x+12y

4#)choose 4

5#) r+3r+ _=6r

6r-4r= 2r

5#)choose 4

Only point (1 ) I didn't know I'm sorry

Answer this wuestion for me man

Answers

Answer:

The length of ribbon is [tex]\sqrt{32}[/tex].

Step-by-step explanation:

Length of the side of square = 4 inches

let the length of the diagonal is x.

By use of Pythagorean theorem

[tex]x^2 = 4^2 + 4^2 \\\\x =\sqrt {16 + 16}=\sqrt{32}[/tex]

You and your friends decide to go to the recreation center to play pickup basketball. You decide to play the game 21 where a layup equals 1 point and a jump shot equals two points. You made 11 layups and need to decide how many jump shots you need to make in order to win… Remember that you must not go over 21 points or you lose.​

Answers

Answer:

5 jump shots.

Step-by-step explanation:

Let l = number of layups and j = number of jump shots

l + 2j = 21

11 + 2j = 21

2j = 10

j = 5

5 jump shots are needed to win the game and not go over 21 points.

Where are the corresponding angles in the diagram below?
ANSWERS:

Answer #1: 1 and 5

Answer #2: 1 and 3

Answer #3: 2 and 4

Answer #4: 2 and 7

Answers

Answer #1 is the correct answer

Answer:

the answer is #1

Step-by-step explanation:

Find the mid point of the line segment AB where A= (-5,5) and B= (-7,4)*

Answers

Check out the screenshot.

Andy £9500 Bevan £25000 Cheryl £13250 Deva £75000 Elliott £12750 Frankie £29500 Grace £11000 a) Work out the mean income to 2 DP. b) Deva was given a large bonus for 30 years service. Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?

Answers

Answer:

a. £25142.86

b. £16833.33

Step-by-step explanation:

According to the Question,

Given, The Salary Of 7 People in An Office are,

Andy ⇒ £9500

Bevan ⇒ £25000

Cheryl ⇒ £13250

Deva ⇒ £75000

Elliott ⇒ £12750  

Frankie ⇒ £29500

Grace ⇒ £11000

a. The mean income = Total Sum of Salaries ÷ Number of Workers

Mean = (9500+25000+13250+75000+12750+29500+11000) ÷ 7

Mean = 176000 / 7 ⇒ £25142.86

b. Now, The Mean income After Excluding Deva's Salary is,

Mean = (9500+25000+13250+12750+29500+11000) ÷ 6

Mean = 101000 / 6 ⇒ £16833.33

The points (6, 9) and (0, 6) fall on a particular line. What is its equation in slope-intercept form?

Answers

Answer:

[tex]y = \frac{1}{2}x + 6[/tex]

Step-by-step explanation:

[tex]Let \ (x _1 y _ 1 ) = ( 6 , 9 ) \ and \ (x _ 2 , y _ 2 ) \ = ( 0 , 6 )\\\\[/tex]

Step 1 : Find slope, m

              [tex]slope, m = \frac{y _ 2 - y _ 1}{x_ 2 - x_ 1 } = \frac{6 - 9}{0 - 6 } = \frac{-3}{-6} = \frac{1}{2}[/tex]

Step 2 : Find the equation

                [tex](y - y _ 1 ) = m ( x - x_ 1) \\\\( y - 9 ) = \frac{1}{2} (x - 6 ) \\\\y = \frac{1}{2}x - 3 + 9 \\\\y = \frac{1}{2}x + 6[/tex]

Answer:

y = 1/2x + 6

Step-by-step explanation:

y = mx + b is the formula. m is the slope and to calculate that you use the slope formula y2 - y1/ x2 - x1.

(6, 9)  is the first coordinate so 6 is x1 and 9 is y1. Similarly in (0, 6), x2 is 0 and y2 is 6. Now if we put that into the slope formula it would look something like this: 6-9/0-6. that comes to -3/-6. simplify and cancel out the negatives and you get 1/2 which is the m ( slope).

The b is the y-intercept, which is the y value for where the x is 0. In this question, they already give you the coordinate where x is 0. (0, 6). x is 0 and y is 6. therefore the b (y-intercept) is 6.

Put all of this into y =mx +b, and you get y= 1/2x + 6.

If you want to make sure you did it right, just plug in one of the coordinates into this equation. Let's use  (6, 9).

9 = 1/2 (6) + 6

9 = 3 + 6

9 = 9. It works out, therefore the equation right.

Hope this helps

What's the inverse of f(x) = x-3/5

Answers

Answer:

y = x + 3/5

Step-by-step explanation:

1.  Label this function 'y':  y = x - 3/5

2.  Interchange x and y:  x = y - 3/5

3.  Solve this for y:  y = x + 3/5

This last result is the inverse of the given function.

Answer:

y = x + 3/5

Step-by-step explanation:

change f(x) to 'y'

y = x - 3/5

interchange 'x' with 'y'

x = y - 3/5

solve for y

y = x + 3/5

Please help will give branliest

Answers

Answer:

ok

8^7*512/262144=4096

8^4=4096

?=4

Your Welcome

BIFFY OUT!!!

Marcus wants to end the semester with at least an 85 test average in his math class. On his first 3 tests, he earned 83, 97, and 80. What will he have to earn on his fourth test to have at least an 85 average? Let g represent the grade needed on his fourth test. Write an inequality that models the situation.

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]\frac{83+97+80+g}{4} \geq 85[/tex]

»»————- ★ ————-««  

Here’s why:  

The average is found by dividing the sum of the values by the number of values.

⸻⸻⸻⸻

[tex]\frac{83+97+80+g}{4} \geq 85[/tex]

⸻⸻⸻⸻

The numerator would consist of the test grades and the unknown 'g' and the denominator would be the number of tests he taken.

"At least" indicates a greater than or equal to inequality.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

PLEASE HELP ME 50 PTS and i'll give brainliest please help me this is the video they game me to do this hw but I still don't understand it https://youtu.be/7Uos1ED3KHI

Answers

1.) 70x/100x^2 = 7/10x

2.) 16x^3/24x = 2x^2/3

3.) 7x(2x+1)/21(2x+1) = x/3

4.) 35x - 35/x^2 - 1 =  35/x + 1

5.) x + 7/x^2 + 4x - 21 = 1/x - 3

6.) x^2 - 6x + 5 = x - 5/5

7.) x^2 - 36/x^2 - 3x - 18 = x + 6/x + 3

8.) x^2 - 3x - 10/x^2 + x - 2 = x - 5/x - 1

A cylinder has a radius of 6 and a height of 10 find the volume

Answers

Answer:

30cm

Step-by-step explanation:

Vn = Vc

1/3 X Pie x 6^2 x hn = Pie x 6^ x 10

hn = 30cm

Given: Radius=7cm,

Height=10cm

Volume of the cylinder=πr2h

=722×7×6×10=1540cm3

What I Can Do
Construet an appropriate graph for the Charity donations of each grade level in a high school: ​

Answers

Answer:

You should have a graph that has the words on the y axis Grade 7 Grade 8 Grade 9 and Grade 10 on each differnt line. Than put the number corosponding to the grade on each line, making the graph rise up and down.

Step-by-step explanation:

Can't make one.

what additional information is needed to prove the triangles congruent by AAS

Answers

Answer:

pq=su

Step-by-step explanation:

its the only one that makes sense

[NO LINKS]
This is Jovan’s solution for the equation x^2-8x-9=0:

x2 – 8x – 9 = 0

x2 – 8x = 9

x2 – 8x + 16 = 9 + 16

(x – 4)2 = 25

x – 4 = 25 and x – 4 = - 25

x = 29 and x = -21

Is Jovan’s solution correct?

Answers

Answer:

No, it's wrong

[tex] {x}^{2} - 8x - 9 = 0 \\ (x - 9)(x + 1) = 0 \\ x = 9 \: and \: - 1[/tex]

Answer:

No

Step-by-step explanation:

x² – 8x – 9 = 0 x² – 8x = 9 x² – 8x + 16 = 9 + 16 (x – 4)² = 25 x – 4 = 25 and x – 4 = - 25 ⇒ Incorrect, should be x - 4 = 5 and x - 4 = -5 x = 29 and x = -21                ⇒ Incorrect, should be x = 9 and x = -1

simplify an expression
(x^2y^4z)^5/(xy)^2
A) y10z5
B) x6y7z5
C) x7y9z5
D) x8y18z5

Answers

Answer:

d

Step-by-step explanation:

D) Sum of the two adjacent angles is 140°. If the second angle is 7 less than six times the first angle, find the two angles. (2 Marks)

Answers

Answer:

FIRST ANGLE = 21 degree

SECOND ANGLE = 119 degree

Step-by-step explanation:

140 = 6x - 7 + x

140 = 7x - 7

combine like terms

140 + 7 = 7x

147 = 7x

x = 21

second angle = 6(21) - 7 = 119

Train A leaves Paris and travels at a constant speed of 75 mph toward Pisa. At the
same time. Train B leaves Pisa headed toward Paris at a constant speed of 50
mph. Let x represent time traveled in hours and let y represent miles from Paris. If
Paris and Pisa are 500 miles apart, when will the two trains pass each other?

Answers

Answer: [tex]4.016\ hr[/tex]

Step-by-step explanation:

Given

Train A has speed of [tex]v_a=75\ mph[/tex]

Train B has speed of [tex]v_b=50\ mph[/tex]

If Paris and Pisa is 500 miles apart

If they meet x hours after the start

The sum of the distances traveled by Train A and B is 500 miles

[tex]\Rightarrow 75\times x+50\times x=500\\\Rightarrow 125x=500\\\Rightarrow x=4.016\ hr[/tex]

So, after [tex]4.016\ hr[/tex] they will pass each other.

What's The actual length of UV (round to 3 decimal places) ?

Answers

Answer:

7.463 cm

Step-by-step explanation:

Use the pythagorean theorem (a^2 + b^2 = c^2) to find the side length of UV.

a^2 + b^2 = c^2

6.1^2 + 4.3^2 = 55.2

Then square root 55.2, which is 7.463 cm

A community is building a square park with sides that measure 110 meters. To separate the picnic area from the play area, the park is split by a diagonal line from the opposite corners Determine the approximate length of the diagonal line that splits the square.

Answers

Answer:

155.56 m

Step-by-step explanation:

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

√110² + 110²

Please help if you can!

Answers

Answer:

D: 78 ft2    

Step-by-step explanation:

6x13=78

Answer:

Rectangle

Result

Area = l × w

= 13 × 6

= 78 feet2

Step-by-step explanation:

#Brainliestbunch

True or false question. In Standard form, the number 3.5 *10^4 is 3,500.

Answers

Answer: False

Step-by-step explanation:

10^4=10000. 10000*3,5=35000.

Answer:

No, you missed a zero.

Step-by-step explanation:

In the given case, as we have the number as  

3.5 × 10^4, we need to move decimal digit to the right by three points. For this, let us write 3.5 as 3.50000 and moving decimal point four points to right means  

35000.0

Hence in standard notation  

3.5 × 10^4=35,000

help me pls pls pls pls pls pls

Answers

10 is -35
11 is -30
12 is 1
And I don’t know 9 sorry

Find m 22 in the figure below.
95°
2
72°

Answers

Answer:

<2= 23°

Step-by-step explanation:

180°- 95°= 85°

(95° is on a straight line, angles on a straight line adds up to 180° so 95° is being subtracted from 180°. Therefore the next angle in the triangle will be 85°)

To find <2

180- (85°+ 72°)

(Angles on a triangle adds up to 180°)

180- 157

= 23

- Javid bought 3 pairs of Nike Jordan True Flight sneakers
for $127.59 each. He sold 2 pairs of the shoes at a 28%
markup and the third pair for a 52% increase. What did
he sell each pair of shoes for?

- Harris wanted to purchase a pair of Reebok Liquid Speed sneakers for
$190. The price of the sneakers decreased 10% in value each of the next 2 weeks. Harris said that the shoes were 20% less than their original value after 2
weeks. Is Harris correct?

Please help me with these two. I will mark you as brainly

Answers

I’m not surevhcxjjbvcvhhccc
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