In ΔUVW, the measure of ∠W=90°, VU = 41, UW = 9, and WV = 40. What is the value of the cosine of ∠V to the nearest hundredth?

Answers

Answer 1

Answer:

∠V = 12.68°

Step-by-step explanation:

In this question, we are tasked with calculating the value of the sine of ∠V to the nearest hundredth

Kindly note that since one of the angles in the triangle equals 90°, then we are dealing with a right-angled triangle.

PLEASE VIEW ATTACHMENT TO SEE THE DIAGRAM OF THE SHAPE

Mathematically, to calculate the sine of an angle in a triangle, the ratio to use is

Sine of an angle = length of side facing angle/length of hypotenuse = opposite/Hypotenuse

From the diagram, we can see that the length of the opposite is 9 while the length of the hypotenuse is 41

Sine V = 9/41

V = arcsin (9/41)

V = arcsin (0.2195)

V = 12.68° to the nearest hundredth

Answer 2

The value of the cosine of ∠V is 0.98

How to determine the value of the cosine of ∠V?

The given parameters are:

∠W=90°, VU = 41, UW = 9,WV = 40

The cosine of V is calculated using:

cos(V) = WV/VU

So, the equation becomes

cos(V) = 40/41

Evaluate

cos(V) = 0.98

Hence, the value of the cosine of ∠V is 0.98

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Related Questions

PLEASE HELP IM RUNNING OUT OF TIME

Answers

Answer:

the answer is 160 that the answer

Factor completely.
5x^2 +2x + 3

Answers

5x^2+2x+3 Are you sure this is correct?
Because there are no 0s of this equation. Basically no x intercept, so it would be pointless to factor.

pls help me answer this asap thank you

Answers

Answer:

33

Step-by-step explanation:

Using the Intersecting Chords Theorem

For any two Intersecting Chords --->  UC*CW=TC*CV

By Substituting --->  12(2x+5)=14(2x+2)

By Expanding   --->  24x+60=28x+28

Then --> 28x-24x=60-28

Then --> 4x=32

So x=32/4=8

Now to get UW,,  UW=UC+CW=12+(2x+5)=2x+17

By Substituting by x=8

UW=2x+17=2*8+17=33

from 1-50, How many
Of them are perfect
numbers:

Answers

Answer:

2 of them are perfect numbers and they are 6 and 28

Step-by-step explanation:

because they are one of the first 5 perfect numbers!

Hope this helps :)

find the area of each figure in square units. show your work and explain how you got the answer.​

Answers

Answer:

28 square units or 28 units^2

Step-by-step explanation:

Using the following data, calculate the median.
22, 22, 18, 18

Answers

Answer:

20

Step-by-step explanation:

To find the median, first, arrange the numbers from smallest to greatest. We have 18, 18, 22, 22. Next, find the number in the center. In this case, there are two numbers in the middle and it doesn't easily fall under one number. In this case, find the average of the two numbers. We have (18+22)/2 = 20. Therefore, the median of 18, 18, 22, 22 is 20.

Find the value of x for the triangle.

Answers

Answer:

Step-by-step explanation:

8x + 2 + 70 + 60 = 180   {angle sum property of triangle}

8x + 132 = 180

         8x = 180 -132

        8x = 48

        x = 48/8

x = 6

Answer:

x = 6

Solution:

Here, we are given a triangle with 2 of its angle , the third angle is in the form of variable equation .

We will use the angle sum property of triangle to find the value of variable i.e x in the given triangle.

Here,

∠A = 70°

➙ ∠B = 60°

➙ ∠C = 8x + 2

Angle sum property

It states that the sum of all angles of a triangle is 180°

‎ㅤ‎ㅤ‎ㅤ➙ ∠A + ∠B + ∠C = 180°

‎ㅤ‎ㅤ‎ㅤ➙ 70° + 60° + ∠C = 180°

‎ㅤ‎ㅤ‎ㅤ➙ 130° + ∠C = 180°

‎ㅤ‎ㅤ‎ㅤ➙ ∠C = 180° - 130°

‎ㅤ‎ㅤ‎ㅤ➙ ∠C = 50°

‎ㅤ‎ㅤ‎ㅤ➙ 8x + 2 = 50 ‎

‎ㅤ‎ㅤ‎ㅤ➙ 8x = 50 - 2

‎ㅤ‎ㅤ‎ㅤ➙ 8x = 48

‎ㅤ‎ㅤ‎ㅤ➙ x = 48 / 8

ㅤ‎ㅤ‎ㅤ➙ x = 6


A chain store plans to reduce its workforce by 3%. If there are currently 18,800 employees and 128 of them retire voluntarily, how many additional employees must
be laid off?

Answers

Answer: 436

Step-by-step explanation: 18,800 divided by .03 equals 564-128=436

find the volume of this prism 8cm 9cm 11cm

Answers

Answer:

792 cm

Step-by-step explanation:

8*9*11=792

72*11=792

72+720=792

Answer:

The answer is 396 i hope it helps!

The ratio 6 to 24 is equivalent to what ratio?

Answers

It’s 1:6 or 1 to 6 as both the number are divisible by 6

answer thissss pleaseee

Answers

Answer:45 degree angle

Step-by-step explanation: am smart

answer: angle J equals 80°
explanation:

What is the measure of angle B in the triangle?

Answers

Answer:

22°

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What is the slope of the line that passes through the points (−10,−8) and (−9,−8)? Write your answer in simplest form.

Answers

Answer:

slope=0

Step-by-step explanation:

The required slope of the line is zero which implies that the given line is parallel to the x-axis.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

here,
The slope of the line that passes through the points (−10,−8) and (−9,−8) is given as,

m = (y₂ - y₁) /  (x₂ - x₁)

Substitute values in the above equation,
m = -8 + 8 / -9 +10
m = 0

Thus, the required slope of the line is zero which implies that the given line is parallel to the x-axis.

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What fraction with a denominator of 100 is equivalent to 0.43?

Answers

Answer:

[tex]\frac{43}{100}[/tex]

Step-by-step explanation:

Think of it as a percentage. 43% is [tex]\frac{43}{100}[/tex] , but it is also 0.43. Any number over 100 will be put into a similar decimal format ([tex]\frac{12}{100}[/tex] = 0.12  and [tex]\frac{4}{100}[/tex] = 0.04)

The fraction with a denominator of 100 is equivalent to 0.43 is,

[tex]\frac{43}{100}[/tex].

Here,

We have to find fraction with a denominator of 100 is equivalent to 0.43.

What is Fraction?

A fraction is used to represent the portion/part of the whole thing.

Now,

Let a fraction with a denominator of 100 is [tex]\frac{x}{100}[/tex].

And, its equivalent to 0.43.

Hence,

[tex]\frac{x}{100} = 0.43[/tex]

[tex]x = 43[/tex]

So, A fraction with a denominator of 100 is [tex]\frac{43}{100}[/tex].

Which is equivalent to 0.43.

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The Sum of a number and two times a smaller number is 62. Three times the bigger number is C the smaller number by 116 the bigger number is? The smaller number is?

Answers

Answer:

x = 10

y = 42

Step-by-step explanation:

The sum of a number and two times a smaller number is 62

2x+y=62

so y=62−2x

Three times the bigger number exceeds the smaller number by 116

x+116=3y

substitute for y:

x+116=3(62−2x)

x+6x=186−116

7x=70

x=10

3y=10+116=126

#y = 126/3 = 42

if 9 is added to a number x the result is greater than 17. Find the range of values of x

Answers

The solution of inequality shows that the range is x >8.

Domain and Range

The domain of a function is the set of input values for which the function is real and defined. In the other words, when you define the domain, you are indicating for which values x the function is real and defined.

While the domain is related to the values ​​of x, the range is related to the possible values ​​of y that the function can have.

Inequalities

Inequality is a mathematical expression that does not present equality between both sides. It is represented by symbols: <, , > and .

For solving this question, you should convert the text of the problem into an algebraic expression. Consequently, you will have:

                                           x+9 > 17

                                           x > 17-9

                                           x > 8

Therefore, the range is x>8.

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please help me answer this asap thank you

A circle with center O has a diameter of 26 cm. A chord, PQ, is 24 cm in length. How far is the chord from the center of the circle?

Answers

The chords from the center of the circle will be 5 cm. Apply pythogorous to find the distance of chords from the center of the circle.

What exactly is a circle?

It is a point locus drawn equidistant from the center. The radius of the circle is the distance from the center to the circumference.

Given data;

Diameter,d=26 cm

Chord, PQ, = 24 cm

P is the chord from the center of the circle

All the given dimensions shown in the digrame are in the centimeter.

The chords from the center of the circle are found by the pythogorous theorem;

From Δ DCB

The value of the side p is;

h²=p²+b²

13²=p²+12²

169=p²+144

p=5 cm

Hence, the chords from the center of the circle will be 5 cm.

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One and Two step equations Escape Room.: The teeth on this key are busted. Now they must be readjusted. Find the code.

Answers

The code for Escape Room is MCYHW.

Inequalities

Inequalities is a mathematic expression that do not present equalitiy between both sides. It is represented by symbols: <, , > and .

For solving this exercise, firstly, you should solve the inequalities identified by letters: H, W, M, Y and C. After that, you should relate yours anwers with the options given for the exercise.

Inequality H

                       [tex]-11x-4 > -15\\ \\ -11x > -15+4\\ \\ -11x > -11\; *(-1)\\ \\ 11x < 11\\ \\ x < 1[/tex]

Therefore, you should connect H with x<1.

Inequality W

                       [tex]32 > -16x\\ \\ Rewriting \\ \\ -16x < 32 \\ \\ -16x < 32\; *(-1)\\ \\ 16x > -32\\ \\ x > \frac{-32}{16} \\ \\ x > -2[/tex]

Therefore, you should connect W with x>-2.

Inequality M

                       [tex]3+x\leq -9\\ \\ x\leq -9-3\\ \\ x\leq -12[/tex]

Therefore, you should connect M with x≤-12.

Inequality Y

                       [tex]-7x+7\leq -56\\ \\-7x\leq -56-7\\ \\ -7x\leq -63\\ \\ -7x\leq -63\; *(-1)\\ \\ 7x\geq 63\\ \\ x\geq \frac{63}{7} \\ \\ x\geq 9[/tex]

Therefore, you should connect Y with x≥9.

Inequality C

                       [tex]-20\geq -5x+15\\ \\Rewriting\\ \\ 5x+15\leq -20\\ \\ -5x\leq -20-15\\ \\ -5x\leq -35\\ \\-5x\leq -35\; *(-1)\\ \\ 5x\geq 35\\ \\ x\geq \frac{35}{5} \\ \\ x\geq 7[/tex]

Therefore, you should connect C with x≥7.

Thus, the sequence is:

M - [tex]x\leq -12[/tex]

C - [tex]x\geq 7[/tex]

Y- [tex]x\geq 9[/tex]

H- [tex]x < 1[/tex]

W- [tex]x > -2[/tex]

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A copy machine makes 24 copies per minute. How many copies does it make in 5 minutes and 15 seconds?

Answers

Answer: it makes 126 copies

Explanation:

15/60=6/24

5x24=120

6+120= 126

The number of eggs in the refrigerator e decreased by 5 equals 18

Answers

Answer:

I think its 5e = 18

I hope this helped! :)

Answer:

23 eggs

Step-by-step explanation:

e-5 = 18

e = 18+5

=23

A room is 12 feet long, 14 feet wide, and 11 feet high. The walls, ceiling, and floor are all to be painted the same color. How many square feet must be covered with paint?

Answers

Answer:

908 feet²

Step-by-step explanation:

To paint walls, we will be looking for surface area.

      Since this is a room and we have three measurements, we can assume there will be the floor, the ceiling, and four walls. This means we will be looking for 6 sides in total.

-> See attached for a diagram I made of the sides we need

-> Keep in mind opposite pairs of walls will be the same, and the floor and ceiling will be the same.

     

      We end up with the following sides:

          11 * 12

          11 * 12

          11 * 14

          11 * 14

          12 * 14

          12 * 14

      We can simplify this to the following:

(2(11 * 12)) + (2(11 * 14) + (2(12 * 14) = 908 feet²

908 feet² must be covered with paint.

Find the degree of the monomial: 18x^6y^2

Answers

Answer:

8

Step-by-step explanation:

Exponent of x = 6

Exponent of y = 2

Degree of the monomial = 6 + 2 = 8

The area of a circle with a diameter of 4.275" is ___ sq in

Answers

Answer:

Step-by-step explanation:

diameter = 4.275"

r = 4.275 ÷ 2 = 2.1375"

Area of circle = πr²

                      = 3.14 * 2.1375 * 2.1375

                      = 14.3463

                     ≈ 14.3 in²

Show how to solve \/2x+1-4=-1

Answers

Answer: X=5/8

Step-by-step explanation:

2*x-1/4-(1)>0

Step 1 Simplify: 1/4

(2x-1/4)-1>0

Step 2 Rewrite the whole number in an equivalent fraction:

(Subtract a fraction from a whole)

2x=2x/1=2x*4/4

Adding Fractions that have a common denominator:

2x*4-(1)/4=8x*1/4

The equation at the end of step 2:

(8x-1)/4-1>0

Step 3 Rewrite the whole as an equivalent fraction:

1=1/1=1*4/4

Adding Fractions that have a common denominator:

(8x-1)-(4)/4=8x-5/4

The equation at the End of Step 3:

8x-5/4>0

Step 4:

Multiply both sides by 4 then Divide both sides by 8.

So the answer is

x>5/8

I know it seems a lot but it's just the way I learned it. I hope you understand.

What is the currency of Denmark?

Answers

Answer:

D a n I s h K r o n e ...........

I Think The Answer Is krone

I’m having trouble understanding this can someone help please and thank you

Answers

When it is asking you to solve a system of equations, it means that it wants you to find the value of the variables, in this case, x and y.

3x + 2y = 1  -- equation 1

y = x - 12 -- equation 2

Put (equation 2)'s value of y into (equation 1)

3x + 2(x-12) = 1

3x + 2x - 24 = 1

5x - 24 = 1

5x = 25

x = 5 -- equation 3

Put (equation 3)'s values of x into (equation 2)

y = 5 - 12 = -7

Thus the solutions are x = 5 and y = -7 and we have solved the system of equations.

Hope that helped!

$10,000 is compounded quarterly at 12% interest for t years. What expression represents the amount of money after t years?

Answers

Answer:

12%

Step-by-step explanation:

three times y is less than or equal to half of x can be written

Answers

Answer:

3y ≤ 1/2x

Step-by-step explanation:

please give brainliest!!

3 times y is less than or equal to half of x can be written as 3y ≤ x/2 or x ≥ 6y.

What are Expressions?

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given that,

three times y is less than or equal to half of x can be written.

Three times y means that 3 is multiplied to y.

Half of x means that x is multiplied to 1/2.

This is an inequality expression.

We can write it as,

3y less than or equal to x/2.

3y ≤ x/2

Multiplying both sides by 2,

6y ≤ x

or x ≥ 6y

Hence the inequality expression is x ≥ 6y.

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Ants have 6 legs. Katie and Lukas write equations showing the proportional relationship between the number of ants, a, and the number of ant legs, l.

Katie writes a = 6 • 1 and Lukas writes a = 1/6 • l.

Whose equation do you agree with?

A. Katie
B. Lukas
C. Both
D. Neither

Explain your reasoning.​

Answers

Answer:

A

Step-by-step explanation:

I agree with Katie because number is legs is directly proportional to the number of ants.

1 ant has 6 legs.

So, 2 ants have 6 *2 = 12

3 ants have 6*3 = 18

f(x)=x/3-2 g(x)=3x^2+2x-6 (f+g)(x)

Answers

Answer:

Hope it helps bhhhhbbbbbbhb

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