Find the missing side. Round your answer to the nearest tenth.

Find The Missing Side. Round Your Answer To The Nearest Tenth.

Answers

Answer 1

Answer:

44.8

Step-by-step explanation:

cos α = adjacent leg/hypotenuse

cos 48° = 30/x

x = 30/(cos 48°) = 44.8


Related Questions

Martin took 16s to run 120m. What was his speed in m/s ?

Answers

V= d/t
120/16
=7.5 m/s

find the value of b here

Answers

Answer:

Step-by-step explanation:

We will start with the angle that measures 57 degrees. This angle is supplementary to the one next to it coming off the straight line. 180 - 57 = 123.

The rule for quadrilaterals is that same side angles are supplementary, so the angle next to the 123-degree angle (to the immediate left of that angle 123) is 57. THAT 57-degree angle is supplementary to angle b, so angle b = 180 - 57 which is 123. So C is your answer.

Answer:

do you think you can send me the work for the program

Step-by-step explanation:

i got 1 day left and im not close to finishing it please help me out please respond with any way to contact you thanks

Factorize: 14x^6-45x^3y^3-14y^6

Answers

Answer:

(7x^3+2y^3)(2x^3−7y^3)

Find f'(x) for f(x) = 5x2 − 3x + 12. 10x + 12(this answer is incorrect) −10x − 3 10x − 3 None of these

Answers

What are ya sayin

Step-by-step explanation:

Answer:

10x-3

Step-by-step explanation:

f'(x) means just find the derivative, which can be done via calculator (the more advanced ones, anyway)

Also, I am super late to the question, but...hope it still helps?

plzzz help class 9 optional math

If tan theta =p show that sec theta*cosec theta =p+1/p​

Answers

Answer:

[tex]sec(\theta) \times cosec(\theta) = \dfrac{tan^2 (\theta)+ 1}{tan (\theta)} = tan (\theta)+ \dfrac{1}{tan (\theta)} = p + \dfrac{1}{p}[/tex]

Step-by-step explanation:

The given trigonometric relations are

tan(θ) = p

sec(θ)×cosec(θ) = p + 1/p

We note that, when tan(θ) = p, we have;

p + 1/p = tan(θ) + 1/(tan(θ)) = (tan²(θ) + 1)/tan(θ)

By trigonometric ratios, we have;

tan²(θ) + 1 = sec²(θ) =1/cos²(θ) which gives;

(tan²(θ) + 1)/tan(θ) = 1/cos²(θ) × 1/tan(θ)  = cos(θ)/sin(θ)×1/cos²(θ)  

[tex]\dfrac{1}{cos^2(\theta)} \times \dfrac{cos (\theta)}{sin( \theta)} = \dfrac{1}{cos(\theta)} \times \dfrac{1}{sin( \theta)} = sec(\theta) \times cosec(\theta)[/tex]

Therefore;

[tex]If \ tan (\theta) = p \ then \ sec(\theta) \times cosec(\theta) = p + \dfrac{1}{p}[/tex]

What is the least number of colors you need to correct color in the sections of these pictures so that no two touching sections are the same color?

Answers

You would assume that in this figure, the number of colored sections with which are not colored with respect to a " touching " colored section, would be half of the total colored sections. However that is not the case, the sections are not alternating as they still meet at a common point. After all, it notes no two touching sections, not adjacent sections. Their is no equation to calculate this requirement with respect to the total number of sections.

Let's say that we take one triangle as the starting. This triangle will be the start of a chain of other triangles that have no two touching sections, specifically 7 triangles. If a square were to be this starting shape, there are 5 shapes that have no touching sections, 3 being a square, the other two triangles. This is presumably a lower value as a square occupies two times as much space, but it also depends on the positioning. Therefore, the least number of colored sections you can color in the sections meeting the given requirement, is 5 sections for this first figure.

Respectively the solution for this second figure is 5 sections as well.

Please answer this in two minutes

Answers

Answer:

u = [tex]\sqrt{6}[/tex].

Step-by-step explanation:

This is a 45-45-90 triangle.

That means that there are two side lengths with lengths of x, and a hypotenuse with a length of xsqrt(2). We can then set up a proportion.

[tex]\frac{1}{\sqrt{3} } =\frac{\sqrt{2} }{u}[/tex]

1 * u = [tex]\sqrt{3} * \sqrt{2}[/tex]

u = [tex]\sqrt{6}[/tex].

Hope this helps!

3 ( 1 - 20 ) + 10 = 4

Answers

Answer:

3(1 - 20) + 10 = 4

3 * (-19) + 10 = 4

-57 + 10 = 4

-47 = 4

Since the two are not equal, this statement is false/invalid.

Hope this helps!

Consider the y-intercepts of the functions:
f(x) = |x – 1] + 2
g(x) =
(x + 3)
h(x) = (x + 1) -3
1
What is the ordered pair location of the greatest y-intercept of the three functions?

Answers

Answer:

+3, 0

Step-by-step explanation:

y-intercept for f(x) is when x = 0, so it is +1, 0

y-intercept for g(x) is when x = 0, so it is +3, 0

y-intercept for h(x) is when x = 0, so it is -2, 0

The y-intercept of a function is the point where x = 0.

The ordered pair that represents the greatest y-intercept is (0,3)

The functions are given as:

[tex]\mathbf{f(x) = |x - 1| + 2}[/tex]

[tex]\mathbf{g(x) = (x + 3)}[/tex]

[tex]\mathbf{h(x) = (x + 1) - 3}[/tex]

Set x = 0, and solve the functions

[tex]\mathbf{f(x) = |x - 1| + 2}[/tex]

Substitute 0 for x

[tex]\mathbf{f(0) = |0 - 1| + 2}[/tex]

[tex]\mathbf{f(0) = |- 1| + 2}[/tex]

Remove absolute brackets

[tex]\mathbf{f(0) = 1 + 2}[/tex]

[tex]\mathbf{f(0) = 3}[/tex]

[tex]\mathbf{g(x) = (x + 3)}[/tex]

Substitute 0 for x

[tex]\mathbf{g(0) = (0 + 3)}[/tex]

[tex]\mathbf{g(0) = 3}[/tex]

[tex]\mathbf{h(x) = (x + 1) - 3}[/tex]

Substitute 0 for x

[tex]\mathbf{h(0) = (0 + 1) - 3}[/tex]

[tex]\mathbf{h(0) = 1 - 3}[/tex]

[tex]\mathbf{h(0) = - 2}[/tex]

Hence, the ordered pair that represents the greatest y-intercept is (0,3)

Read more about ordered pairs at:

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Solve for p. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. -31p+79 > -59p+81

Answers

Answer:

The answer is

p > 1/14

Step-by-step explanation:

-31p+79 > -59p+81

Group like terms

Send the constants to the right side of the expression and those with variables to the left side

That's

- 31p + 59p > 81 - 79

Simplify

We have

28p > 2

Divide both sides by 28

We have the final answer as

p > 1/14

Hope this helps you

simplify √16n/m^3 1. 4√mn/n^2 2. 4√mn/m 3. √mn/4m 4. 4√mn/m^2

Answers

Answer:

4√mn/m^2

Step-by-step explanation:

√16n/m^3

= √16n/√m^3

= √4x4xn/√mxmxm

= 4√n/m√m

Rationalize by multiplying the numerator and the denominator by the denominator, which is a surd:

= (4√n x √m)/(m√m x √m)

= 4√mxn/m√mxm

= 4√mn/mxm

= 4√mn/m^2

What’s a possible value of an integer that is less than 14 units from 29 but no more than or equal to 18

Answers

Answer:

15, 16, 17, 18

Step-by-step explanation:

29-14=15

15, 16, 17, 18 are less than or equal to 18

The radius of a cylindrical water tank is 5.5 ft, and it’s height is 10 ft. What is the volume of the tank?

Answers

Answer:

950.33 ft³

Step-by-step explanation:

The volume of a cylinder is denoted by: V = πr²h, where r is the radius and h is the height.

Here, the radius is r = 5.5 ft and the height is h = 10 ft. Plug these into the formula:

V = πr²h

V = π * 5.5² * 10 ≈ 950.33 ft³

The answer is thus 950.33 ft³.

~ an aesthetics lover

Assume that the random variable X is normally distributed, with mean p = 100 and standard deviation o = 15. Compute the
probability P(X > 112).

Answers

Answer:

P(X > 112) = 0.21186.

Step-by-step explanation:

We are given that the random variable X is normally distributed, with mean [tex]\mu[/tex] = 100 and standard deviation [tex]\sigma[/tex] = 15.

Let X = a random variable

The z-score probability distribution for the normal distribution is given by;

                               Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = population mean = 100

            [tex]\sigma[/tex] = standard deviaton = 15

Now, the probability that the random variable X is greater than 112 is given by = P(X > 112)

      P(X > 112) = P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{112-100}{15}[/tex] ) = P(Z > 0.80) = 1- P(Z [tex]\leq[/tex] 0.80)

                                                       = 1 - 0.78814 = 0.21186  

The above probability is calculated by looking at the value of x = 0.80 in the z table which has an area of 0.78814.

Evaluate w+(-x)-2/3 where w= 5/9 and x=4/3

Answers

Answer:

-1/24

Step-by-step explanation:

Plug in X and W

5/8 - 4/3 - 2/3.

Combine like terms.

5/8 - 2/3.

Solve.

-1/24

Answer:

- 2 1/10

Step-by-step explanation:

how many cups in 34 gallons

Answers

Answer:

544 cups

Step-by-step explanation:

1 gallon consists of about 16.0047 cups, 34x16 is 544

Formula= multiply the volume by 16
34x16 = 544 cups

A circle has a radius of 21 inches. What is the length of the arc intercepted by a central angle that measures 4π/7 radians? Express the answer in terms of π .

Answers

Answer:

12π inches

Step-by-step explanation:

s = rθ

s = (21) (4π/7)

s = 12π

The length of the arc will be;

⇒ Arc = 37.68 inches

What is Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

The central angle = 4π/7

And, A circle has a radius of 21 inches.

Now,

We know that in circle;

Arc = Radius × Angle

Substitute all the values, we get;

⇒ Arc = 21 × 4π/7

⇒ Arc = 3 × 4 × 3.14

⇒ Arc = 37.68 inches

Thus, The length of the arc will be;

⇒ Arc = 37.68 inches

Learn more about the circle visit:

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An actor invests some money at 8​% simple​ interest, and ​$21 comma 000 more than four times the amount at 10​% simple interest. The total annual interest earned from the investment is ​$49 comma 140. How much did he invest at each​ amount? Use the​ six-step method.

Answers

Answer:

First investment = $98000

Second = $413,000

Step-by-step explanation:

Given the following :

Investment 1:

Let first investment = f

Rate = 8% = 0.08

Investment 2:

$21,000 more than 4 times of investment 1:

4f + 21000

Rate = 10% = 0.1

Total annual interest earned from both :

$49,140

Interest on investment 1 + interest on investment 2 = $49,140

To solve:

Simple Interest = principal * rate * time

Time = 1 year

Total interest = (f * 0.08 * 1) + ((4f + 21000) * 0.1 * 1)

49140 = 0.08f + 0.4f + 2100

0.48f = 47040

f = 47040 / 0.48

f = 98000 = first investment

Second investment :

4f + 21000

= 4(98000) + 21000

= $413,000

if a mobile was sold for Rs.24408 after allowing 10% discount on the marked price and adding 13% VAT.Findthe discount amount.

Answers

Answer:

Hi, there!!!!

See explanation in pictures.

I hope it helps you...

Which is the graph of linear inequality 6x + 2y > -10?

Answers

Answer:

The top left one.

Step-by-step explanation:

Fix this into y intercept form: y=mx+b

y>-3x-5

Because y is greater than 3x-5, the shaded area should be positive, so the top right and the bottom right will be eliminated. Now, looking at the y intercept which is the 'b' in the equation, it is -5. So the y intercept on the graph should be on negative 5, which means that the top left one is the correct answer!

Hope this helped, BRAINLIEST would really help me:)

Option 1 is the correct choice.

We have a linear inequality -

6x + 2y > -10

We have to determine which of the following graphs depicts the inequality given above.

What is an Inequality?

An inequality in mathematics compares two values or expressions, showing if one is less than, greater than, or simply not equal to another value.

According to the question, we have -

6x + 2y > -10

Add - 6x on both sides of inequality, we get -

- 6x + 6x + 2y > - 10 - 6x

2y > - 6x - 10

Dividing both sides of the inequality by 2, we get -

y > - 3x - 5

Now, in order to plot the graph for this inequality, let -

y = - 3x - 5

Plot the line for the above equation. Remember to plot the graph in the form of dashed line since the inequality is strict inequality.

Consider the point (0, 0) -

Solve the inequality for the point (0, 0), we get -

0 > - 3 x 0 - 5

0 > - 5

Which is true.

Hence, shade the complete area on that side of line where the point

(0, 0) lies.

Therefore, Option 1 is the correct choice.

(Refer the image attached, for reference)

To solve more questions on Plotting inequalities, visit the link below -

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Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides
of this triangle?
O 5cm and 8 cm
O 6 cm and 7 cm
O 7 cm and 2 cm
8 cm and 9 cm

Answers

Answer:

Choice D - 8cm and 9cm.

Step-by-step explanation:

The other sides are not greater than 13.

A: 5 + 8 = 13

B: 6 + 7 = 13

C: 7 + 2 = 9

However, D is greater than 13 and is the correct answer.

D: 8 + 8 = 16.

Option d: 8 cm and 9 cm.

There is a theorem in mathematics stating:

" The sum of length of two sides of any triangle is greater than the rest third side"

According to that theorem, first three given options cant form the sides of the given triangle whose one side is 13 cm.

The 4th option has 8 cm and 9 cm for which we have:

8 + 9 > 13

Thus this option follows the theorem.

Hence fourth option is correct.

For more information, refer this link:

https://brainly.com/question/14444468

Increased by 75% is 35 ?

Answers

Answer:

20

Step-by-step explanation:

20 + (75% × 20) =

20 + 75% × 20 =

(1 + 75%) × 20 =

(100% + 75%) × 20 =

175% × 20 =

175 ÷ 100 × 20 =

175 × 20 ÷ 100 =

3,500 ÷ 100 =

35;

The graph of f(x) = x2 has been shifted into the form f(x) = (x − h)2 + k: a parabola with the vertex 4, 1 What is the value of k?

Answers

Answer:

k = 1

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (4, 1 ), thus k = 1

Which is the best description of the equivalency of the two expressions? Expression 1 Expression 2 5 x squared minus 2 x minus 4 + 6 x + 3 6 x squared minus 6 x + 6 minus x squared + 10 x minus 7 The two expressions are not equivalent because when x = 2, the two expressions do not have the same value. The two expressions are not equivalent because when they are simplified, they do not have the same coefficients for the x squared and x terms. They are equivalent because the sum of the constants is the same in both expressions. They are equivalent because when x = 2, the two expressions have the same value.

Answers

Answer:

The correct option is (D).

Step-by-step explanation:

The two expressions are:

[tex]\text{Exp}_{1}=5x^{2}-2x-4+6x+3\\\\\text{Exp}_{2}=6x^{2}-6x+6-x^{2}+10x-7[/tex]

On simplifying both the expressions we get:

[tex]\text{Exp}_{1}=5x^{2}+4x-1\\\\\text{Exp}_{2}=5x^{2}+4x-1[/tex]

Compute the value of both expressions for x = 2 as follows:

[tex]\text{Exp}_{1}=5(2)^{2}+4(2)-1=27\\\\\text{Exp}_{2}=5(2)^{2}+4(2)-1=27[/tex]

The value of both expressions are same for x = 2.

Thus, the correct option is:

"They are equivalent because when x = 2, the two expressions have the same value."

Answer:

d

Step-by-step explanation:

a man buys a dozen cameras for $1800.He sells them at a profit of $36 each.Express his profit as a percentage of his selling price.​

Answers

Step-by-step explanation:

The solution is the document i sent please check through.

What is the answer to 85% of 62

Answers

Answer:

52.7

Step-by-step explanation:

Of means multiply

85% * 62

.85 * 62

52.7

Turn the percentage into a decimal.

85% = 0.85

Multiply.

62 * 0.85 = 52.7

So, 52.7 is 85% of 62.

Best of Luck!

Please answer this question now

Answers

Answer:

e =7.1

Step-by-step explanation:

[tex]Hypotenuse = 10\\Opposite =e\\Adjacent =7\\\\Using\:Pythagoras\:Theorem\\Hypotenuse^2=Opposite^2+Adjacent^2\\10^2 =e^2 + 7^2\\100 =e^2+49\\100-49=e^2\\\\51 =e^2\\\sqrt{51} =\sqrt{e^2}\\ e = 7.141\\\\e = 7.1[/tex]

A, B, and C are midpoints of ∆XYZ. What is the length of ? YZ

Answers

Answer:

[tex]YZ = 48[/tex]

Step-by-step explanation:

Given

[tex]AB = 24[/tex]

[tex]XZ = 60[/tex]

Required

Find YZ

From the attachment, AB is parallel and equal to YC;

This implies that

[tex]AB = YC = 24[/tex]

Given that C is the midpoint of YZ;

This implies that

[tex]YC = CZ = 24[/tex] and [tex]YZ = YC + CZ[/tex]

Substitute values for YC and CZ

[tex]YZ = 24 + 24[/tex]

[tex]YZ = 48[/tex]

Answer:

48

Step-by-step explanation:

The net of a solid is shown below:

Net of a square pyramid showing 4 triangles and the square base. The square base has side lengths of 3 inches. The height of each triangle attached to the square is 6 inches. The base of the triangle is the side of the square.

What is the surface area of the solid?

18 square inches
27 square inches
36 square inches
45 square inches

Answers

Answer:

The answer is 45 inches².

Step-by-step explanation:

First, you have to find the area of each triangle:

[tex]area = \frac{1}{2} \times base \times height[/tex]

[tex]let \: base = 3 \\ let \: height = 6[/tex]

[tex]area = \frac{1}{2} \times 3 \times 6[/tex]

[tex]area = \frac{1}{2} \times 18[/tex]

[tex]area = 9 \: \: {inches}^{2} [/tex]

Assuming that the formula for surface area of pyramid is Surface area = base area(area of square) × 4(area of triangle):

[tex]base \: area = 3 \times 3 = 9[/tex]

[tex]area \: of \: triangle = 9[/tex]

[tex]s.a = 9 + 4(9)[/tex]

[tex]s.a = 9 + 36[/tex]

[tex]s.a = 45 \: \: {inches}^{2} [/tex]

The cost of importing five dozen china dinner sets, billed at $32 per set, and paying a duty of 40%, is

Answers

Answer:

duty = 64

Total cost is 224

Step-by-step explanation:

First find the cost of the 5 sets

5 * 32 = 160

Then find the duty

160 * 40%

160 * .4 =    64

Add this to the cost of the sets

160+64 =224

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