In UVW, u=51 inches,v= 61 inches and w= 62 inches.find the measure of angle V to the nearest degree

Answers

Answer 1

Answer:

49degrees

Step-by-step explanation:

Using the cosine rule

u² = v²+w²-2vwcosU

Substitute the given values

51² = 61²+62²-2(61)(62)cosU

2601 = 3721+3844-7564 cosU

2601 = 7565-7564cosU

-7564cosU = 2601-7565

-7564cosU = -4964

CosU =-4964/-7564

CosU = 0.6563

U = arccos(0.6563)

U = 49degrees(to nearest degree)


Related Questions

What percentage of the Cub Scouts are at least as old as a Bear Scout?

Tigers (6 years old): 19%

• Wolves (7 years old): 36%

Bears (8 years old): 17%

Webelos (9 years old): 28%

.

Answers

The percentage of the cub scout which are atleast as old as the near scout refers to percentage of the cub scout which are atleast 8 years old. Hence, the percentage is 28%

The age of Bear scout = 8 years old

Cub scouts which are atleast 8 years old :

Webelos = 9 years old

Percentage of Webelos = 28%

Hence, the percentage of cub scout which are atleast 8 years old is 28%

Therefore, the percentage of the cub scout that are atleast as old as the Bear scout is 28%

Learn more : https://brainly.com/question/25084575

A 20 foot ladder is set against the side of a house so that it reaches up 16 feet. If Christian grabs the ladder at its base and pulls it 2 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 14 ft.) Round to the nearest tenth of a foot.

Answers

Answer:

14.2

Step-by-step explanation:

The ladder forms a right angles triangle,

We have,

h=20

p=16

b=x

Using pythogorean theorem,

b=√(20^2-16^2)

√144

b=12

Now,

Since, she pulls it 2 cm,

b=x+2

b=14

p=?

Using pythogorean theorem,

p=√(20^2-14^2)

√204

p=14.2828568571

Rounding  to the nearest tenth,

p=14.2

The side of the ladder will reach up is 14.3 feet.

What is trigonometric Ratios?

"Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. It is with respect to any of its acute angles are known as the trigonometric ratios of that particular angle".

For the given situation,

Hypotenuse, h = 20 feet

Perpendicular, p = 16 feet

Base = b

By Pythagoras theorem,

[tex]h^{2} = p^{2} + b^{2}[/tex]

⇒[tex]20^{2} = 16^{2}+b^{2}[/tex]

⇒[tex]b^{2} = 400-256[/tex]

⇒[tex]b^{2}=144[/tex]

⇒[tex]b=\sqrt{144}[/tex]

⇒[tex]b=12[/tex]

The ladder at the house is pulled 2 feet farther.

So, base = [tex]12+2[/tex]

⇒[tex]b=14[/tex]

Now, the side of the ladder will reach up

[tex]p^{2} = h^{2}-b^{2} \\[/tex]

⇒[tex]p^{2}=20^{2}-14^{2} \\[/tex]

⇒[tex]p^{2}=400-196[/tex]

⇒[tex]p^{2}=204[/tex]

⇒[tex]p=\sqrt{204}[/tex]

⇒[tex]p=14.28[/tex]

⇒[tex]p=14.3[/tex] (rounded off to nearest tenth)

Hence we can conclude that the side of the ladder will reach up is      14.3 feet.

Learn more about trigonometric ratios here

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you have 120 cows and 90% of them are female how many female cows do you have​

Answers

Answer: 108

Step-by-step explanation:

If 90% are female, that means that female = 90% of 120, or 90/100 x 120

90/100 x 120 = 108, meaning that there are 108 female cows.

An office space in a city measures 38.4 feet by 43 feet and costs $22.50 per square foot. What is the selling price for the office space?

Answers

$37,152
38.4 x 43 x $22.50= $37,152

Question 12: There are only red, black and green pens in a box.
There are three times as many red pens as green pens.
There are four as many black pens than red pens.
Work out the probability of a black pen being selected

working pls !! :D​

Answers

Answer:

3/4

Step-by-step explanation:

Let the number of black pen be b, the green pen be g and the red pen be r.

Probability of a black pen being selected = 12g/16g = 3/4

1 book/5 days is it a unit rate

Answers

Answer: No, it is not a unit rate

Explanation:

A unit rate is when the time value in the denominator is 1. So it would need to be "1 day" instead of "5 days" for it to be a unit rate. The term "unit" means "one".

To convert to a unit rate, we simply compute 1/5 = 0.20 to see that the unit rate is 0.20 books per day. This is the same as saying "0.20 books every 1 day", but I think the phrasing "books per day" is more common.

ILL GIVE BRAINLIEST PLS HELP

Each statement describes a transformation of the graph of y = x. Which statement correctly describes the graph of y = x + 9.5?
A.
It is the graph of y = x translated 9.5 units to the right.
B.
It is the graph of y = x translated 9.5 units up.
C.
It is the graph of y = x where the slope is increased by 9.5.
D.
It is the graph of y = x translated 9.5 units down.

Answers

Answer:

Im pretty sure is B but it might be C.

Step-by-step explanation:

Not sure but I think it B

the length of a rectangular is 2 m less than twice the width.if the erea of the rectangular is 112m², what is the width​

Answers

-7 or 8 is the answer

What is the distance between 5,-6 and 5,6

Answers

Answer: 12

Step-by-step explanation:

I will assume those are coordinates.

The distance between 2 points is given by  √ (x2 − x1)^2 + (y2 − y1)^2.

Replacing the values, we get  √ (5 − 5)^2 + (6 − -6)^2 =  √0+144 = 12

solve the inequality. 1/3b + 1 < -6​

Answers

Answer:

b<-21

Step-by-step explanation:

1/3b+1<-6

1/3b<-7

*3     *3

b<-21

Answer:

b <  - 21

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] b + 1 < - 6 ( subtract 1 from both sides )

[tex]\frac{1}{3}[/tex] b < - 7 ( multiply both sides by 3 to clear the fraction )

b < - 21

i need help how do you do this

Answers

Answer:

very easy just follow instruction

A group of friends wants to go to the amusement park. They have no more than $110 to spend on parking and admission. Parking is $17.75, and tickets cost $20.50 per person, including tax. Write and solve an inequality that can be used to determine xx, the number of people who can go to the amusement park.

Answers

Answer:

Inequality: 20.50x + $17.75 ≤ $110

Solve: 4 people can go to the amusement park

Explaination:

Inequality:

$110 = Amount of money they have

$17.75 = Parking Cost

$20.50 = Cost of tickets per person

Because they only have $110, they can't spend more than that amount.

Therefore, the inequality would be the ticket cost per person, times the amount of people being payed for (aka x) plus the parking cost is less than or equal to the amount of money they have to spend. Hence the inequality:

20.50x + $17.75 ≤ $110

Solve:

$110 - $17.75 = $92.25 (92.25 is how much is left for tickets after subtracting the parking cost)

$20.50 x 4 = $82 (4 tickets can be bought for the price of $20.50)

$92.25 - $82 = $10.25 (10.25 isn't enough for another person)

So, the solution to the inequality is 4 people can go to the amusement park.

ill give brainliest whoever does it right pls fast

Answers

Answer:

1.Train b travels 125 miles in four hours.

2. Train A's speed is 50 mph and train b's speed is 31.25 mph

srry about the last one but i don't know what the answer is since i don't know the choices for it

Does the graph represent a function? Why or why not? ​

Answers

Answer:

This graph does represent a function because when you do the vertical line test, none of the x-values intercept more than once.

Step-by-step explanation:

Hope this helps!

solve by substitution.
5x-3y=-4
x+y=-4

Answers

Answer:

x=-2,y=-2

Step-by-step explanation:

x+y=-4

x=-4-y--(3)

substitute (3) in (1)

5(-4-y) -3y=-4

-20-5y-3y=-4

-8y=16

y=16/-8

y=-2

substitute y in (3)

x=-4-(-2)

x=-2

$40 jacket is 25% off how much will u save

Answers

Answer:

10 dollars

Step-by-step explanation:

compro una bicicleta y pago en tres cuotas. En el primer tramo pago 3/10 del total, en el segundo pago 4/5 del resto, y en el tercero solo tengo que pagar 21 $. ¿Cuánto cuesta la bicicleta?

Answers

I think the answer would be a

Help me answer please?​

Answers

Answer:

For #1 add up all males and females and then create a chart of how many bars males and females ate

There are 109 nanoseconds in 1 second.
Find the number of nanoseconds in 5 minutes, giving your answer in standard form.

Answers

it will be 2,725 nanoseconds

Find the area of the following kite:

Answers

Answer:

[tex]48 cm^2[/tex]

Step-by-step explanation:

Each of the small triangles are right, so we can add up all the small triangle's areas to find the total area.

The 4-by-10 triangle: The area is [tex]4*10/2=40/2=20[/tex].

The other 4-by-10 triangle has the same side lengths and hence the same area, so the area is [tex]20[/tex].

The 4-by-4 triangle: The area is [tex]4*4/2=8/2=4[/tex].

The other 4-by-4 triangle has the same area, [tex]4[/tex].

The total area is [tex]20+20+4+4=\boxed{48} cm^2[/tex].

find the value of a + 1a​

Answers

Answer:

2a

Step-by-step explanation:

a+1a is the same as a+a=2a

help meeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

118.75

Step-by-step explanation:

47.50 multiplied by 2.5 would equal 118.75

ur welcome :)

2 1/16 as a improper fraction

Answers

Answer:

13/6

Step-by-step explanation:

Answer: 33/16

Step-by-step explanation:  2*16 = 32...      32+1= 33

Please help!!!!!!!!!!!!!!!!!!!!!!!!!! answer both

Answers

Solution 1 :-

Given expression ,

[tex]\implies 13^{\frac{3}{4}} [/tex]

We know that, [tex] a^{\frac{m}{n}} = \sqrt[n]{a^m} [/tex]

Therefore , this can be written as ,

[tex]\implies \sqrt[4]{13^3} [/tex]

Solution 2:-

Given expression ,

[tex]\implies \sqrt[3]{24^{10}} [/tex]

We know that,[tex] a^{\frac{m}{n}} = \sqrt[n]{a^m} [/tex]

Therefore, this can be written as ,

[tex]\implies 24^{\frac{10}{3}}[/tex]

Answer: 1.) D.  

--------------------------------------------------------------------------------------------------------------

2.)    C. (24 10/3)

Write a function rule in terms of x and y for the line that contains the points (-7.4, -9.7) and ( 8.4, 6.1) .

Answers

Answer:

y = x + -2.3

x = -y - 2.3 (but why would one need this?...)

Step-by-step explanation:

(6.1 - (-9.7))/(8.4 - (-7.4)) = 15.8/15.8 = 1

6.1 = 8.4 + b

b = -2.3

PLEASE HELP SUPER FAST

Answers

Answer:

c

Step-by-step explanation:

Hi there!

C I believe

IN THE FIGURE BC IS PARALLEL TO AD. AREA OF TRIANGLE ABC IS 100 cm². WHAT IS THE AREA OF TRIANGLE BCD



Answers

Answer:

150 cm2

Step-by-step explanation:

double of triangle abc is 200

this is in middle of both

QUICK QUESTION: did I do this right?

Answers

Answer:

Yup looks correct

Step-by-step explanation:

Lol I verified using the calculator :)

Mr. Robins earns a commision on each airfare he books. At the end of the day, he had booked $208.60 worth of airfare and earned $31.29. What is Mr.Robins commision rate

Answers

Commission rate = (commission earned / amount sold/booked) * 100%

($31.29 / $208.60) * 100% = 15%

Subtract.
-3-6-(-1)
Plot the solution on the number line.

Answers

Answer:

-8

Step-by-step explanation:

Start by putting a dot on the number line at -3.  As we are to subtract 6, start at -3 and move 6 units to the left, arriving at -9.  Finally, recognizing that -(-1) = +1, move 1 unit to the right from -9, ending up at -8.

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