Solve for X. Round to the nearest tenth.

Solve For X. Round To The Nearest Tenth.

Answers

Answer 1

Answer:

Step-by-step explanation:

take 18 degree as reference angle

using cos rule

cos 18=adjacent/hypotenuse

0.95=20/x

x=20/0.95

x=21.05

x=21.2


Related Questions

Suppose the two measures of a center are 82.5 degrees and 83.6 degrees. Which value is the mean?
A. 82.5
B. 83.6

Answers

Answer:

[tex]Mean=83.05^{\circ}[/tex]

Step-by-step explanation:

Given that,

The two measures of a center are 82.5 degrees and 83.6 degrees.

We need to find the value of the mean.

We know that,

[tex]\text{Mean}=\dfrac{\text{Sum of observations}}{\text{Total no of observations}}[/tex]

So,

[tex]M=\dfrac{82.5 +83.6 }{2}\\\\M=83.05^{\circ}[/tex]

So, the value of the mean is equal to [tex]83.05^{\circ}[/tex].

Consider a radioactive substance with original weight 20grams given by W(x)= 20 x (0.95)^x, where W(x) is with weight after x years. In about how many years is the radioactive substance half of its original weight? Type answer to one decimal place.

Answers

Answer:

13.5 years

Step-by-step explanation:

We are given the expression:

W(x)= 20 x (0.95)^x

Where W(x) = 20grams/2

= 10 grams

Hence:

10 = 20 x (0.95)^x

Divide both sides by 20

10/20 = 20 x (0.95)^x/20

0.5 = (0.95)^x

Take the log of both sides

log 0.5 = log (0.95)^x

log 0.5 = x log (0.95)

Divide both sides by log 0.95

x = log 0.5 / log 0.95

x = 13.513407334 years

Approximately to 1 decimal place =✓13.5 years

Therefore, it will take 13.5 years for the radioactive substance to be half of its original weight.

A stove can be bought on hire purchase by making a deposit of $650 and 12 monthly instalments of $195 each. Calculate the hire purchase price of the stove.

Answers

Answer:

$2,990?

Step-by-step explanation:

What is 32% of 150

Please show work or explain your thinking

Answers

32% of 150 is 48
hope this helps

change the decimals into percentage 6.1 and 0.6​

Answers

Answer:

6.1 = 610%

0.6 = 60%

Step-by-step explanations:

Convert 6.1 to percentage

         [tex]= \frac{6.1}{1} * \frac{100}{100} =\frac{610}{100}[/tex]

         [tex]= \frac{610}{100}[/tex] = 610%

Convert 0.6 to percentage

          [tex]=\frac{0.6}{1} * \frac{100}{100} =\frac{60}{100}[/tex]

          = [tex]=\frac{60}{100} =[/tex] 60%

Step-by-step explanation:

6.1=61 percent

0.6=6 percent

What is the volume of this prism

Answers

Hi there!

[tex]\large\boxed{\text{A. } 320 cm^3}[/tex]

We can begin by finding the area of the base in order to solve for the volume.

Use the formula for the area of a trapezoid:

A = 1/2(b1 + b2)h

Substitute the given values:

A = 1/2(10 + 6)5

A = 1/2(16)5

A = 40 cm²

Multiply by the depth of the prism to solve for the volume:

40 × 8 = 320 cm³

35%of C is 127 write an equation to represent this problem and solve equation to find volume of C

Answers

35%c=127

i hope this helps

Answer:

c = 620 | (217 x 100) / 35

Step-by-step explanation:

To solve this problem you multiply 217 by 100 and then divide the total by 35 as follows: (217 x 100) / 35

A spinner has three sections. The table shows the results of spinning the arrow on the spinner 80 times.

What is the experimental probability of the arrow stopping over Section 1?


128

720

713

45
Section 1 Section 2 Section 3
28 36 16

Answers

Answer:

7/20

Step-by-step explanation:

Frequency of Section 1 is 28 and total number of  frequencies is 80.

P(Section 1) = 28/80 = 7/20

Answer:

the frst person id wight!

Step-by-step explanation:

how do I solve −2x−9≥5 to get x

Answers

Answer:

x = - 7

Step-by-step explanation:

- 2x = 5 + 9

- 2x = 14

x = - 14 / 2

x = - 7

Hope this answer helps you  :)

Have a great day

Mark brainliest

Answer:

x ≤ -7

Step-by-step explanation:

−2x−9 ≥ 5

add 9 to both sides

-2x -9 +9 ≥ 5+9

-2x ≥ 14

divide -2 on both sides

since we're dividing by a negative number we need to flip our inequality sign

-2x/-2 ≥ 14/-2

x ≤ -7

Joelle's homework covers multiplication with powers of 1010 . The first question on her homework is 32.4\ \times10^232.4 ×10 2 . What is the value of the expression?

Answers

Answer:

103.424

Step-by-step explanation:

Answer:

The answwer is 103.424 I am taking this CFA 5th grade test right now because school is almsot going to end.

Step-by-step explanation:

Need help with 2 and 3 ASAP PLEASE SHOW WORK it’s due soon please

Answers

Answer:

The volume of the cone is 25.13, the other one is 167.55

Step-by-step explanation:

v = 1/3pi(2)^2(6)

simplify and divide the above.

v = 25.13

1/3pi(4)^2(10)

= 167.55

Tape Diagrams and Writing Equations



Write an algebraic equation for this tape diagram. Then determine the value of x. You may use a calculator.

Answers

Answer:

3x + 16 = 22.75

3 = 22.75 - 16

3× = 6.75

3 3

x= 2.25

PLEASE HELP ASAP

The equation of the linear regression line represents the relationship between the amount a person saved, x, and the amount earned, y.
y^= 100x + 50
What does the slope of the line represent?

Answers

I think option b is right correct

Hence, the slope of the line means for every one dollars the person earn the saving decrease by 1 dollars

How to know what the slope of a line represents?

The equation of the linear regression line represents the relationship between the amount a person saved, x, and the amount earned, y.

Therefore,

y = 100x + 50

Using the linear equation model,

y = mx + b

where

m  = slopeb = y-intercept

Therefore,

slope = 100

y-intercept = 50

Hence, the slope represents for every one dollars the person earn the saving decrease by 1 dollars

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HelpPPppPpPpPppPpP PLEASE:>

Answers

it’s the graph on the top right :)

Answer:

number 2 is the answer by looking at the slopes of the lines.

Somebody help me ASAP! I WILL GIVE BRAINLIEST IF YOU SOLVE THIS BY 12:40 PM PST

Answers

Answer:

B. {2/3, 1}

Step-by-step explanation:

x²/5 - x/3 = -2/153x² - 5x = -23x² - 5x + 2 = 0x = (5 ± [tex]\sqrt{5^2 - 4*3*2}[/tex])/6x = (5 ± 1)/6x = 6/6 = 1 , x = 4/6 = 2/3

Correct choice is B

Solve the equation plz!
8(3x−2)/9 = 13/7

Answers

Step-by-step explanation:

(3x-2) =13/7x9/8

3x =117/56+2

3x = 117+112/56

x =229/56x3

x= 229/168

MARK ME BRAINLIEST THANKS MY ANSWER PLEASE

Answer:

x=229/168

Step-by-step explanation:

[tex]\frac{8(3x-2)}{9} =\frac{13}{7}\\or, 56(3x-2) =117\\Or,168x-112=117\\Or, 168x=229\\Or, x=\frac{229}{168} \\[/tex]

Write the equation of the line in fully simplified slope-intercept form.

Answers

y = 3x - 1
-------------

A parabola has x-intercepts at -3 and 4. Write 2 possible equations of parabolas in
standard form that could satisfy the requirements.

Answers

x=-3

x=4

hope helps you

have a nice day

Jake wants to distribute 543 marbles equally among 7 of his friends. In which place is the first digit of the quotient?

Answers

Answer:

tens place

Step-by-step explanation:

543/7≈77.5714285714

the first digit of the quotient is in the tens place

The first digit of the quotient is in tens place.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Jake wants to distribute 543 marbles equally among 7 of his friends.

Now,

Since, Jake wants to distribute 543 marbles equally among 7 of his friends.

Hence, Number of marbles get by each friend = 543/7

                                                                         = 77.57

Thus, The first digit of the quotient is in tens place.

Learn more about the divide visit:

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The sum of two numbers is 12. When one number is subtracted from three times the other, the result is 4.
Find the numbers.

Answers

Answer:

1 2/3, 10 1/3

Step-by-step explanation:

x + y = 12

(3x - 1) = 4

let x = 12-y

substitute:

3(12-y) - 1 = 4

36 - 3y - 1 = 4

35 - 3y = 4

-3y = -31

y = 31/3 or 10 1/3

x = 11 3/3 - 10 1/3 which is 1 2/3

Cual propiedad de los números complejos se muestran a continuación?
(2+3i) + (5-4i) = (5-4i) + (2+3i)

Answers

Las "leyes asociativas" dicen que no importa cómo agrupemos los números (es decir, cuál calculamos primero). Entonces esto sería asociativo.

Will give 50 points!!
Simplify your answer and write it as a proper fraction, improper fraction, or whole
number.
tan (H)=

Answers

Answer:

4/3

Step-by-step explanation:

GH =√90²-72²=

√8100-5184=

√2916= 54

so, tan (H) = 72/54 = 4/3

⁴/3 is a required answer.

Answer:

Solution given:

FG=72

FH=90

By using Pythagoras law

GH=[tex]\sqrt{90²-72²}=54[/tex]

Step-by-step explanation:

we have

Tan H=[tex] \frac{opposite}{adjacent}[/tex]

[tex]TanH=\frac{GF}{GH}=\frac{72}{54}=\frac{4}{3}[/tex]

For an equation that represents as a function of the set of all values taken on by the ________ variable is the domain, and the set of all values taken on by the ________ variable is the range

Answers

Answer:

Independent  [tex]\to[/tex]  Domain

Dependent [tex]\to[/tex] Range

Step-by-step explanation:

Required

Fill in the gaps

A function is represented as:

[tex]y = f(x)[/tex]

Where, x represents the set of input values (or the domain) and y, the set of output values (or the range).

Since the input values are represented by x, they are referred to as the independent variables while the output values are referred to as the dependent values because they depend on the x values for their output.

Which of the following figures has an area that can be found using the
formula A = 8r2?
A. Circle
B. Pentagon
C. Square
D. Rhombus

HELP PLSS

Answers

BAnswer:

Step-by-step explanation:

Answer: circle

Step-by-step explanation:

A company makes fish tanks in the shape of right rectangular prisms. The company has an order for a fish tank that must be exactly 4 feet long and hold at least 35 cubic feet of water. The company wants to save money on materials and will make the tank with the smallest surface area possible. The dimensions of the tank must be in whole foot increments and a top is included in the construction What dimensions for the width and height of the fish tank will satisfy the requirements

Answers

The dimensions for the width and height of the fish tank will be 4 feet and 2 feet .

What is dimension?

Dimension is the measurable extent of a particular kind, such as length, breadth, depth, or height.

According to the given problem,

let , b = is the width of the fish tank

h = is the height of the fish tank given that , hold at least 35 cubic feet of water .

so ,

4×b×h ≥ 35

⇒ h ≥ 35/4b

now , surface area of the fish tank

⇒ 4b + 2× 4h + 2× bh

now substitute the value of h

here

⇒ ≥ 4b +70/b + 35/2

⇒ ≥ 40(70)^1/2 + 35/2 (if and only if b= (70)^1/2 / 2 , the equal sign holds )

therefore ,

= (70)^1/2 / 2 b ≈ 4.18 so b is 4 . when b = 4 ,

h = 35 / 4 × 4 = 2.1875 round off h = 2

so , the minimum surface area of fish tank is

⇒ 4×4+ 2× 4×2 + 2× 4×2⇒ 48

hence , the height and the width of the fish tank is 2 and 4 .

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Select the correct answer from the drop-down menu.
Consider this system of linear equations:
y- x= -13
-4x + 3y = -51
The solution of the system of equations is
Reset
Next

Answers

Answer:

y - x= - 13   -------(1)

- 4x + 3y = -51 -------(2)

(1) => y = - 13 + x

Substitute y in (2)

- 4x + 3( - 13 + x) = -51

- 4x - 39 + 3x = -51

- x = -51 + 39

- x = -12

x = 12

Substitute x in (1)

y = - 13 + x = -13 + 12 = - 1

x = 12, y = -1

PLEASE HELP ME GUYS ×0×

Find the RATIO and the EXACT VALUE of the given Tan A.​

Answers

Answer:

Step-by-step explanation:

take angle A as reference angle

using tan rule

tan A=opposite/adjacent

tan A=5/12

tan A=0.41

A=tan 22.5

A=22.5

for ratio,

tan A=5/12

how many equal parts are in each whole? iready

Answers

The whole has four equal parts

Please help!!!!!!!!!1

what is the volume of a cylindrical can of radius 2 inches and height of 6 inches.

Answers

Volume of a cylinder = pi x r^2 x h

R is the radius which is given as 2 inches.H is the height given as 6 inches.

Using 3.14 for pi:

Volume = 3.14 x 2^2 x 6

Volume = 75.36 cubic inches

Answer:

[tex]\large \sf {\underline{\underline{ \fcolorbox{green}{g}{vσlumє \: σf \: cчlíndєr \: ís \: 75.36 \: cuвíc \: ínchєs}}}}[/tex]

Step-by-step explanation:

◇ Gívєn ◇

➟ Rαdíus σf cчlíndrícαl cαn ís 2 ínchєs.

➟ Hєíght f cчlíndrícαl cαn ís 6 ínchєs.

◇ Fínd ◇

➟ Vσlumє σf cчlíndrícαl cαn.

◇ Fσrmulα Usєd ◇

➟ vσlumє σf cчlíndєr = π × r ² × hєíght

◇ Sσlutíσn ◇

wє usєd fσrmulα

vσlumє σf cчlíndєr = π × r ² × hєíght

vσlumє σf cчlíndєr = 3.14 × (2 ínchєs) ² × 6 ínchєs

vσlumє σf cчlíndєr = 3.14 × 4 squαrє ínchєs × 6 ínchєs

vσlumє σf cчlíndєr = 3.14 × 24 cuвíc ínchєs

vσlumє σf cчlíndєr = 75.36 cuвíc ínchєs

–––––––––☆–––––––––

I need answer immediately!!!!!!!

Answers

Answer:

13 inches

Step-by-step explanation:

Look at the start of where the graph becomes smooth.

Answer:

The guy above me is correct. The rise in the graph means it is snowing, the fllat line shows when it stops, then 2nd rise is the snow continuing at a different rate compared to the first. When the snow stopped the first time, look at where the flat line is on the y-axis. It lands on 13, which is 13 inches

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