solve for x. Round to the nearest hundredth​

Solve For X. Round To The Nearest Hundredth

Answers

Answer 1

Given:

The given triangle is a right angled triangle.

One of the angle is 64° and the length of one of the leg is x.

The length of the hypotenuse is 28.

We need to determine the value of x.

Value of x:

The value of x can be determined using the trigonometric ratio.

Thus, we have;

[tex]cos \ \theta=\frac{adj}{hyp}[/tex]

where [tex]\theta= 64[/tex], adj = x and hyp = 28

Substituting the values, we get;

[tex]cos\ 64=\frac{x}{28}[/tex]

Multiplying both sides by 28, we have;

[tex]cos \ 64 \times 28=x[/tex]

 [tex]0.438\times 28=x[/tex]

       [tex]12.264=x[/tex]

Rounding off to the nearest hundredth, we get;

[tex]12.26=x[/tex]

Therefore, the value of x is 12.26


Related Questions

Can someone help me with this question please I really need help.

Answers

Answer:

Step-by-step explanation:

raise your hand

Answer:

9. I believe is J

10. G just remember the per, the each, and every always represents x

11. x = -3

12.  b = 20

Here's a hint for 11 and 12 always combine like terms

           Hope this help message me if needed


What is the risk of going into a group of more than 20 or more people at this time from coronavirus?

Answers

Answer:

Even if a person doesn't show symptoms, they can still have it.

Step-by-step explanation:

That's the problem.

Even if you think everyone isn't sick, they very well could be, and because there is no vaccine and it spreads so quickly, there's a chance that all the people in that group could get it.

Answer:

Getting infected

Step-by-step explanation:

Evelyn needs to buy a season pass to the water park that
costs $320. How much will the season pass to the water
park cost if she uses credit, pays $80 a month, and pays an
extra $6 a month in interest?

Answers

Answer:

344

Step-by-step explanation:

80*4=320

6*4=24

320+24=344

10. Explain why log328 is between 3 and 4.

Answers

Answer:

See explanation.

(Before continuing reading, I took the base to be 3. Please tell me if you didn't want the base to be 3.)

Step-by-step explanation:

I assume 3 is suppose to be the base. Let's list some values that can be written as 3 to some integer.

3^0=1

3^1=3

3^2=9

3^3=27

3^4=81

3^5=243

......

I could have also did negative integer powers, but this is all I really need to convince you that log_3(28) is between 3 and 4.

log_3(28) means the value x such that 3^x=28.

Since 28 is between 27 and 81 in my list above, that means 3^x is between 3^3 and 3^4. This means that x is a value between 3 and 4.

______ % of 803 is 1

Answers

Answer:

0,125%

Step-by-step explanation:

100% - 803

x% - 1

1x100/803

Answer:

80300

Step-by-step explanation:

4/5 - 3/10 enter a zero or leave the whole number box blank to enter a fraction

Answers

Answer:

1/2

Step-by-step explanation:

4/5 - 3/10

Lcm would be 10

[(4×2) - 3]/10

(8 - 3)/10

5/10

1/2

The midpoint of AB is M(-5, -2). If the coordinates of A are (-3,4), what are
the coordinates of B?

Answers

Answer:

The coordinates of b are (-7, -8)

Step-by-step explanation:

Answer:

(-2,6)

Step-by-step explanation:

HELP ASAP!!!!!!!!!!!
Describe the solution of h(x) shown in the graph below.


All solutions that lie on h(x)
All real solutions
All whole number solutions
All positive solutions

Answers

Solutions that lie on the line are -1 and 2.

When y is -2, x is either 0 or 1.

When y is 4, x is either -2 or 3.

The line never goes below -2

The correct answer is  OPTION (A) All solutions that lie on h(x)

Why all solution that lie on h(x)?

The solutions that lie on h(x) are real solutions , whole number solutions , positive solutions and negative solution .

According to the graph ,

When y is -2, x is either 0 or 1.When y is 4, x is either -2 or 3.The line never goes below -2

Therefore , all solutions lies on h(x)

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A book has 180 pages. Hailey read 12 pages each day. After a certain number of days, there are 60 pages left. Which equation, when solved for x, gives the number of days Hailey read?

Answers

Answer:

180 − 12x = 60

Step-by-step explanation:

the answer is 60 if u solve the equation correctly

Simplify the expression.
9(-10-4v)+9v

Answers

Answer: -90-27v

Step-by-step explanation:

N A

Answer:

-90-27v

Step-by-step explanation:

9(-10-4v)+9v

-90 - 36v + 9v

-90 - 27v

What is the solution to 2x2+8x=x2-16?
O x=4
O x=-2
O x=2
O x=4

Answers

Answer:

x=-4

Step-by-step explanation:

A on edg

The solution to the quadratic equation is x = -4

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

2x² + 8x = x² - 16

Subtracting x² on both sides , we get

x² + 8x = -16

Adding 16 on both sides , we get

x² + 8x + 16 = 0

On simplifying the equation , we get

( x + 4 )² = 0

Taking square roots on both sides , we get

x + 4 = 0

Subtracting 4 on both sides , we get

x = -4

Therefore , the value of x is -4

Hence , the solution is x = -4

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On a scale drawing of a​ fence, 3.75 inches represent 24 feet. What is the actual length of a second fence that is 2.8 inches in the​ drawing?

Answers

The actual length of the fence is 215 inches

Step-by-step explanation:

Length of fence in drawing = 3.75 inches

Actual length of the fence = 24 ft

= 288 inches

Scale factor = 288/3.75

= 76.8

Length of fence in drawing = 2.8 inches

Actual length = 2.8 x 76.8

= 215 inches

The actual length of the fence is 215 inches

Answer:

215 in

Step-by-step explanation:

215 in

Evaluate the expression

Answers

Answer:

3

Step-by-step explanation:

3x3=9

A trapezoid has two bases that measure 11 cm and 8 cm. The height of the figure is 5 cm. What is the area of the trapezoid?A trapezoid has two bases that measure 11 cm and 8 cm. The height of the figure is 5 cm. What is the area of the trapezoid?

Answers

Answer:

47.5

Step-by-step explanation:

Add the bases. 8+11=19

Multiply 19 by 5 then divide to get 47.5

Answer:

[tex]47.5 {cm}^{2} [/tex]

Step-by-step explanation:

[tex] area = \frac{a + b}{2} h \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{11 + 8}{2} \times 5 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 47.5 {cm}^{2} [/tex]

Solve for x :
6x=36

Answers

Answer:

6

Step-by-step explanation:

6 multiplied by 6 is 36.

Answer:

6

Step-by-step explanation:

When you are solving for a certain variable, you want to simplify the equation down until you can't anymore. This equation is very simple. You just have to divide both sides by 6. This is because we want to get the variable (x) alone.

6x=36

Divide both sides by 6

x=6

hope that helped.

What is the volume of a hemisphere with a diameter of 8ft, rounded to the nearest tenth of a cubic foot

Answers

Answer:

134.0

Step-by-step explanation:

Final answer:

The volume of the hemisphere with a diameter of 8ft, rounded to the nearest tenth of a cubic foot, is approximately 134.0 cubic feet.

Explanation:

To find the volume of a hemisphere, we can use the formula:

Volume = (2/3) * π * (radius)^3

Given that the diameter of the hemisphere is 8ft, we can calculate the radius by dividing the diameter by 2:

Radius = 8ft / 2 = 4ft

Substituting the value of the radius into the formula, we get:

Volume = (2/3) * π * (4ft)^3

Volume ≈ 134.04 ft³ (rounded to the nearest tenth)

There are six different French books, eight different Russian books, and five different Spanish books. How many ways are there to arrange the books in a row on a shelf with all books of the same language grouped together?

Answers

There are 6 possible ways to arrange the books in a row on a shelf with all books of the same language grouped together.

Step-by-step explanation:

The number of books in French language  = 6

The number of books in Russian language  = 8

The number of Spanish books  = 5

So, in total there are 19 books in 3 different languages F , R and S.

Now, the books are to be arranged in such a way that each language books are stacked together.

The possible number of ways to do it is :

1. French, Russian , Spanish.

2. French, Spanish, Russian.

3. Russian , Spanish, French.

4. Russian , French , Spanish.

5. Spanish, French,  Russian.

6. Spanish, Russian, French.

So,there are total 6 ways to arrange the books in the desired manner.

Hence, there are 6 possible ways to arrange the books in a row on a shelf with all books of the same language grouped together.

Final answer:

The total number of ways to arrange the books on the shelf, with each language's books grouped together, is computed by the formula 3! * 6! * 8! * 5! which covers arranging the language groups and the books within each group.

Explanation:

This problem can be approached through the use of factorial operations in combinatorics, a branch of math dealing with combination and permutation. You want to find out how many ways there are to arrange these books with the condition that each language's books are grouped together. First, we take into account how to arrange the groups of languages, and then we arrange the books within each group.

We have 3 groups of books (French, Russian and Spanish) which can be arranged in 3! (3 factorial) ways, that is 3*2*1 equaling 6 ways to arrange the group of languages.

Within each group, suppose we arrange the French books in 6! ways, Russian books in 8! ways, and Spanish books in 5! ways. These can be arranged within their group in these many ways due to different book titles.

Thus, the total number of ways to arrange the books on the shelf under the given condition would be the arrangement of groups multiplied by the arrangements within each group. Or, 3! * 6! * 8! * 5!. This represents your answer.

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Sheila either walks or cycles to school The probability that she walks to school is 0.65 If she walks, the probability that she is late is 0.4 If she cycles, the probability that she is late is 0.1 What is the probably that on any one day Sheila is not late for school.

Answers

Answer:

Probability that she walks or cycle to school on any day and not be late is 0.705

Step-by-step explanation:

Part A

P(she walks to school) = 0.65  

P(she will be late) = 0.4

P(she will not be late) = 1 - P(she will be late) = 1 - 0.4 = 0.6

Part B

P(she cycle to school) = 1 - P(she walks to school) = 1 - 0.65 = 0.35

P(she will be late) = 0.1

P(she will not be late) = 1 - P(she will be late) = 1 - 0.1 = 0.9

Thus, probability that she walks or cycle to school and not be late =

P(walks: not late) + P(cycle: not late)

= (0.65 x 0.6) + (0.35 x 0.9)

= 0.39 + 0.315

= 0.705

Therefore, probability that she walks or cycle to school on any day and not be late is 0.705

Find the volume of the cone.
Either enter an exact answer in terms of 1 or use 3.14

Answers

Answer:

78.54

Step-by-step explanation:

V=[tex]\pi \\[/tex][tex]r^{2}[/tex] [tex]\frac{h}{3}[/tex]

V= 3.14 [tex](5)^{2}[/tex] [tex]\frac{3}{3\\}[/tex]

V= 3.14 (25) (1)

V= 78.5

Final answer:

The volume of a cone can be calculated using the formula V = 1/3 * π * r2 * h, where r is the radius and h is the height.

Explanation:

To find the volume of a cone, you can use the formula V = 1/3 × π × r² × h, where r is the radius of the base and h is the height of the cone.

For example, if the radius is 4 cm and the height is 10 cm, we can substitute these values into the formula:

V = 1/3 × 3.14 × 42 × 10 = 1/3 × 3.14 × 16 × 10 = 167.47 cm³.

So, the volume of the cone is approximately 167.47 cm³.

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Find the value and expression for 0

Sin(0) = cos(28)

Answers

Answer:

The value of 0 is 62

The expression of 0 is  0 = arcsin (cos (28))

Step-by-step explanation:

Sin(0) = cos(28)

The value of 0 is  90 - 28 = 62 degrees.

The expression of 0 is derived from algebraically solving for 0

0 = arcsin (cos (28))

The sum of the interior angles of a triangle add up to be
degrees?

Answers

This question is a little confusing but i will try my best to answer it pls mark me a brainliset if its helpful in anyway.

the 3 sides of the triangles add up 180 degrees

Answer:

Step-by-step explanation:

Its 180 degrees in total if it is an equilateral triangle each corner is 60 degrees, but still add up to 180. All triangles add up to 180 degrees.

Given that f (x) = 22 + 16x + 63 and g(x) = x + 9, find f(x) + g(x) and
express the result in standard form.

Answers

Answer:

17x + 94

Step-by-step explanation:

Step 1 : Add 16x and x = 17x

Step 2: Add 22 + 63 + 9 = 94

Because the highest exponent of x goes first

And there's only one x

Then simply add the constant (any number with no x)

17x +94

The answer will be 94+ 17 x because 22+16x+63+x+9
22+9+63=94
16x+x=17x
94+17x

In ΔOPQ, the measure of ∠Q=90°, QO = 61 feet, and OP = 83 feet. Find the measure of ∠O .

Answers

Answer:

∠O ≈ 43°

Step-by-step explanation:

Draw a diagram to help you visualize (see photo below).

Since ∠Q is a right angle and ΔOPQ is a triangle, we can use the trigonometric ratios (SohCahToa).

To find ∠O (which is represented by θ in the diagram), use the given sides:

QO = 61 feet

OP = 83 feet

OP is the hypotenuse since it's the longest side.

If ∠O = θ (angle of reference), then side QO is adjacent.

The trig. ratio that uses adjacent and hypotenuse is:

cosθ = adjacent / hypotenuse

Substitute the variables for this question

cosO = QO / OP

Substitute the known values

cosO = 61 feet / 83 feet            Isolate "O"

∠O = cos⁻¹(61/83)                Input into calculator

∠O ≈ 42.69787...°               Exact answer

∠O ≈ 43°               Round to the nearest whole degree

Therefore, the measure of ∠O is 43°.

Please comment below if you have any questions!

mr webb gave his waiter a $5.60 tip on a $40 bill. what percent tip did he give the waiter?

Answers

Answer:

14%

Step-by-step explanation:

5.60 / 40 = 0.14

0.14 x 100 = 14

Mr. Webb left a 14% tip.

Answer:

14%.

Step-by-step explanation:

You just divide (5.6/40)*(100)=the answer. If you do the math correctly(the * means multiplication) you will end up with 14%

what vaule of b makes y=2x+b the same as y=2x?

Answers

Answer:

Step-by-step explanation:

hello :

y=2x+b the same as y=2x

y=2x means : y=2x+0    so : b=0

Answer the question

Answers

Answer:

Step-by-step explanation:

(-v² - 3v -8)(3v² + 6v + 3) = -v²*(3v² + 6v + 3) -3v*(3v² + 6v + 3) -8*(3v² + 6v + 3)

= -3v⁴ - 6v³ - 3v² -9v³ - 18v² - 9v - 24v² - 48v - 24

{bring the like terms together}

= -3v⁴ - 6v³ - 9v³ -3v² -18v² -24v²  - 9v - 48v - 24

= -3v⁴ - 15v³ - 45v² - 57v - 24

HINT:

-v²*(3v² + 6v + 3) = -v²*3v² + (-v²)*6v + (-v²)*3

                           = -3v²⁺² - 6v²⁺¹ - 3v²

-3v*(3v² + 6v + 3) = -3v*3v² + 6v*(-3v) + 3*(-3v)

                            = -9v¹⁺² - 18v¹⁺¹ - 9v

                            = -3v³ - 18v² - 9v

                          = -3v⁴ - 6v³ - 3v²

The measure of angle RTP is 50 degrees. Find the measure of angle TPS.
140
65
40

Answers

Answer:

40

Step-by-step explanation:

90 degree angle

90 - 50 = 40

Darren invests $4,500 into an account that earns 5% annual interests. How much will be in the account after 10 years if the interest rate is compounded annually, quarterly, monthly, or daily? Which compounded interest rate should Darren choose?

Answers

We have been given that Darren invests $4,500 into an account that earns 5% annual interests. We are asked to find the amount in his account after 10 years, if the interest rate is compounded annually, quarterly, monthly, or daily.

We will use compound interest formula to solve our given problem.  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex], where,

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

[tex]5\%=\frac{5}{100}=0.05[/tex]  

When compounded annually, [tex]n=1[/tex]:

[tex]A=4500(1+\frac{0.05}{1})^{1\cdot 10}[/tex]

[tex]A=4500(1.05)^{10}[/tex]

[tex]A=4500(1.6288946267774414)[/tex]

[tex]A=7330.025820498\approx 7330.03[/tex]

When compounded quarterly, [tex]n=4[/tex]:

[tex]A=4500(1+\frac{0.05}{4})^{4\cdot 10}[/tex]

[tex]A=4500(1.0125)^{40}[/tex]

[tex]A=4500(1.6436194634870132)[/tex]

[tex]A=7396.28758569\approx 7396.29[/tex]

When compounded monthly, [tex]n=12[/tex]:

[tex]A=4500(1+\frac{0.05}{12})^{12\cdot 10}[/tex]

[tex]A=4500(1.00416666)^{120}[/tex]

[tex]A=4500(1.64700949769)[/tex]

[tex]A=7411.542739605\approx 7411.54[/tex]

When compounded daily, [tex]n=365[/tex]:

[tex]A=4500(1+\frac{0.05}{365})^{365\cdot 10}[/tex]

[tex]A=4500(1.0001369863013699)^{3650}[/tex]

[tex]A=4500(1.6486648137656943695)[/tex]

[tex]A=7418.9916619456\approx 7419.00[/tex]

Since amount earned will be maximum, when interest is compounded daily, therefore, Darren should use compounded daily interest rate.

What is the area of the composite figure?

A trapezoid has base lengths of 12 centimeters and 13 centimeters. The other sides have lengths of 5 centimeters and 10 centimeters. A rectangle with side lengths of 2 centimeters and 5 centimeters is connected to the side with length 10 centimeters.

a.
70 square centimeters

b.
100 square centimeters

Selected:c.
105 square centimeters

This answer is incorrect.
d.
130 square centimeters

Answers

Answer:

a. 70 square centimeters

Step-by-step explanation:

The area of the composite figure = Area of trapezoid + Area of rectangle

 Area of trapezoid = [tex]\frac{1}{2}[/tex] (a + b) h

                              = [tex]\frac{1}{2}[/tex] (12 + 13) × 5

                              = [tex]\frac{1}{2}[/tex] ×125

                              = 62.5

Area of trapezoid is 62.5[tex]cm^{2}[/tex]

Area of rectangle = length ×breadth

                             = 5 × 2

                             = 10 [tex]cm^{2}[/tex]

Area of rectangle is 10[tex]cm^{2}[/tex]

The area of the composite figure = 62.5 + 10

                                                       = 72.5[tex]cm^{2}[/tex]

To 1 significant figure, the area of the composite is 70[tex]cm^{2}[/tex].

Answer:

Step-by-step explanation:

it's really b.  Just did the test and put 70 and got it wrong.


A day of the week is randomly chosen What is the probability of choosing Monday or a day that starts with the letter
S?

Answers

The probability is 3/7 or 42.9%
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