The ratio of the angle measures of the triangle are 3:1:5.if the longest side of the triangle is 15ft .the shortest side of the triangle is?

Answers

Answer 1

Answer:

3ft

Step-by-step explanation:

get the ratio of longest side which is 5over9 is equal to 15 what about 1 over 9 then u equate n get 3

Answer 2

Answer:

≈ 5.2 ft

Step-by-step explanation:

sum the parts of the ratio, 3 + 1 + 5 = 9 parts

Divide the angle sum of a triangle by 9 to find the value of one part of the ratio.

180° ÷ 9 = 20° ← value of 1 part of the ratio, then

3 parts = 3 × 20° = 60°

5 parts = 5 × 20° = 100°

The angles of the triangle are 100°, 60° and 20°

The longest side is opposite the largest angle in the triangle

The shortest side is opposite the smallest angle in the triangle.

Thus

the longest side is opposite 100°

the shortest side is opposite 20°

let x represent the shortest side and using the Sine rule

[tex]\frac{x}{sin20}[/tex] = [tex]\frac{15}{sin100}[/tex] ( cross- multiply )

x × sin100° = 15sin20° ( divide both sides by sin100° )

x = [tex]\frac{15sin20}{sin100}[/tex] ≈ 5.2 ( to the nearest tenth )

Thus the shortest side is ≈ 5.2 ft


Related Questions

A 5 lb. package of chicken costs $6.00. What is the cost per pound?

Answers

Answer:

$1.2

Step-by-step explanation:

Cost per pound = 6/5 = $1.2

Answer:

1.20 a pound

Step-by-step explanation:

What is the value of the expression below? 3x + (12 - 3) - x, when x = 2.5 A. 13 B. 14 C. 15 D. 19

Answers

Answer:

The answer to this question is: (B)

Which is "14"

Step-by-step explanation:

Substitute the value of the variable into the equation and simplify.

HOPE this helped if so PLEASE leave a "Rating" and a "LIke" and PLEASE mark me brainliest if I have the best answer! THANKS! :))))

Here is the histogram of a data distribution. All class widths are 1.

Which of the following numbers is closet to the mean of this distribution?

A. 5
B. 4
C. 2
D. 10
E. 3

Answers

Answer:

C)  2

Mean of the given distribution = 2

Step-by-step explanation:

Explanation:-

Given data from histogram

1 , 4, 5 ,4 ,2, 1, 1 , 1, 1,0

Mean of given data

                             = ∑x / n

Given  n = 10

[tex]Mean = \frac{1+4+5+4+2+1+1+1+1+0}{10} = \frac{20}{10} =2[/tex]

Mean of the given distribution = 2

Answer:

Its actually 4

Step-by-step explanation:

A p e x

A 4 inch by 6 inch picture is placed in a gram that creates a uniform border of x inches around the picture

Answers

Answer:

1.5 inches.

Step-by-step explanation:

A picture measuring 4 inches by 6 inches is placed inside a frame which has equal width around the entire picture.

The area of the frame and the picture is 63 square inches.

Is this true or false ??

Answers

I believe the answer is true

You are making sets of pens and pencils to sell . You want each set to contain the same combination of pens and pencils. You have 28 pens and 80 pencils, and you want to use them all. What is the greatest number of these sets you can make?

The answers are 4 sets, 7 sets, 10 sets, and 35 sets.

30 points! I really need u help, please and thank you .

Answers

Answer:

4 sets

Step-by-step explanation:

because you need to fit everything in perfectly

Dad gave his son 60 euros to buy wallpaper. In the store, it turned out that the price for one roll wallpaper increased by 3 euros, and because of this, the son was able to buy 1 roll of wallpaper less than he needed. How many rolls of wallpaper could he buy and how much did one roll cost? Did he do the right thing to buy the wallpaper?​

Answers

Answer:

$92.296

Step-by-step explanation:

no, he did not make the right decision that's $19.096 over the budget.

The high temperatures for two consecutive days were 83°F and 79°F. If the average(mean) high temperaature, including a third day, was greater than 82°F, then what was the high temperature on the third day? Write an inequality representing the problem.

Answers

Answer:

83F+79F+X

-----------------      >82F

        3

Step-by-step explanation:

X is the unknown temp, which is the third day.  adding all those up and dividing that by 3 will give you the average. if the average is above 82F, then you just add a > symbol showing that its higher than 82F

Can u pls help huryy!!!

Answers

The answer is C I think, I’m pretty sure all others will decrease

Answer:

C.

Step-by-step explanation:

because f(x) is directly proportional to the numerator which greater than the denominator ( 5>1 ).

While in other cases, f(x) is inversely proportional to the greatest value which is the denominator

Benson is building cabinets he can build 1 1/2 cabinets in 3/4 hour how many cabinets can he build in one hour

Answers

Answer:

2

Step-by-step explanation:

[tex]\frac{3x}{4}[/tex] = [tex]\frac{3}{2}[/tex]

cross-multiply: 6x = 12

x = 2

Answer:

2 cabinets

Step-by-step explanation:

In 3/4 hour he builds 1 1/2 cabinets.

1/4 hours is 1/3 of 3/4 hour.

In 1/4 hour he builds 1/3 of 1 1/2 cabinets which is half a cabinet.

In 1 hour he builds 4 times what he builds in 1/4 hour, 4 * 1/2 cabinet = 2 cabinets.

Answer: 2 cabinets

what is equivalent to 6x-3y=12

Answers

Answer: x= 1/2y+2

Step-by-step explanation:

3. The Round Rock Express has a pitcher with an impressive winning record. Opposing teams are attempting to analyze his pitches. The pitcher throws a strike 35of the time. If the pitcher throws a strike the next pitch is a fastbal 40% of the time. If the pitcher doesn't throw a strike the next pitch is a fastball 80% of the time.

Answers

Answer:

0.66

Step-by-step explanation:

Given:

Let P(Throwing strike) = 0.35

So,

P(S') = 1 - 0.35 = 0.65

P(A / B) = P(A and B) / P(B)

P(Throwing fastball and thrown strike) = P(F / S) = 40% = 0.4

P(Throwing fastball  not thrown  strike) = P(F / S') = 80%

P(Throwing fastball  not thrown  strike) =0.8

So,

P(F and S) = 0.8 x 0.65

P(F and S) = 0.52

P(F) = [P(F / S) x P(S)] + [P(F / S') x P(S')]

= (0.4 x 0.35) + (0.8  x 0.65)

= 0.14 + 0.52

= 0.66

Can you help me understand?

Answers

Answer:

-3,10

Step-by-step explanation:

Determine the parent function
Y=x3. Y=^x. Y=1/x

Answers

Answer:

First one is B

Second one is A

next time dont shoot your computer

Step-by-step explanation:

The parent function of the graph is y = √x

How to determine the parent function?

The given graph is a graph of a square root function, that is translated upward by 3 units and right by 1 unit

This means that the equation of the graph is:

y = 3 + √(x - 1)

Remove the translated points

y = √x

Hence, the parent function of the graph is y = √x

Read more about function transformation at:

https://brainly.com/question/4025726

#SPJ2

please show work i would appreciate it ​

Answers

Answer:

a) x = 14

b) The perimeter of △QRS is 77 units.

Step-by-step explanation:

a) Due to the question asking for a solution using the Triangle Proportionality Theorem, it is assumed that △RQS is similar to the smaller triangle inside it.

Let us define the point at which the line inside △RQS meets line RQ as T, and the point at which that same line meets line RS as V.

Hence, △RTV ~ △RQS.

According to the Triangle Proportionality Theorem:

[tex]\frac{RT}{RQ} = \frac{TV}{QS} = \frac{VR}{SR}[/tex]

Hence, we can substitute all values that we know from the diagram:

[tex]\frac{2x - 2}{2x - 2 + 13} = \frac{TV}{17} = \frac{21 - 7}{21}[/tex]

After getting this information, all we have to do is simplify and solve the equation:

[tex]\frac{2x - 2}{2x - 2 + 13} = \frac{21 - 7}{21}[/tex]

[tex]\frac{2x - 2}{2x + 11} = \frac{14}{21}[/tex]

[tex]\frac{2x - 2}{2x + 11} = \frac{2}{3}[/tex]

[tex]3(2x - 2) = 2(2x + 11)[/tex]

[tex]6x - 6 = 4x + 22[/tex]

[tex]6x - 4x = 22 + 6[/tex]

[tex]2x = 28[/tex]

[tex]x = 14[/tex]

To verify this answer, we can plug in the value of x into the equation:

[tex]\frac{2(14) - 2}{2(14) - 2 + 13} = \frac{2}{3}[/tex]

[tex]\frac{26}{39} = \frac{2}{3}[/tex]

[tex]\frac{2}{3} = \frac{2}{3}[/tex]

Hence, after verification, we can get the answer: x = 14.

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

b) To find the perimeter of △QRS, all we have to do is to add all the lengths of the sides of △QRS together.

Hence, 2(14) - 2 + 13 + 17 + 21

= 28 - 2 + 13 + 17 + 21

= 77 units

Therefore, the perimeter of △QRS is 77 units.

Hope this helped!

Simplify 8 - (14) please help

Answers

Answer:

The answer is - 6 hope this helped

a race car driver completes 30 laps in 15 minutes at a constant speed.


What's is the driver's speed?​

Answers

Answer:

2 laps per second.

Step-by-step explanation:

30 divided by 15 equals 2. If you wanted to convert the speed into a more conventional unit you would multiply 2 by the length of a lap.

Amine passes through the points (710) and (7, 20). Which statement is true about the line?
It has a slope of zero because it in the formula -
is zero, and the numerator of a fraction cannot
It has a slope of zero because in the formula -
is zero, and the denominator of a fraction
cannot be zero
It has no slope because yn dy in the formula
is zero, and the numerator of a fraction cannot be
it has no slope because ty - to in the formula m-
is zero, and the denominator of a fraction cannot be
zero

Answers

Answer: Choice D)

No slope, the term x2-x1 is zero and we cannot have zero in the denominator.

=========================================

Explanation:

The two points both have x coordinates x = 7. Since both x coordinates are the same, they subtract to 0. Recall that something like 1/0 is undefined, so we cannot have 0 in the denominator.

The line through (7,10) and (7,20) is a vertical line. All vertical lines have undefined slopes.

How many Rubles are 40 cents? I will give Brainliest to the correct answer

Answers

Answer:

30.34

Step-by-step explanation:

Answer:

40 cents = 30.34 rubles

Step-by-step explanation:

1 us $ is 75.86 RUB ₽

0.40 * 75.86 = 30.34

4 (3u - 1) - 4u = 76*
u=?

Answers

Answer: 12u-4-4u=76

Step-by-step explanation: Use distributive property and PEMDAS, that might help.

the letters of the word independent are written on individual card and the cards are put into a box a card is selected and then replaced and then a second card is selected find the probality of obtaining​ the letter p twice

Answers

Answer:

The probability of obtaining the letter p twice is 1/121

Step-by-step explanation:

Probability of Recurring Events

There are 11 letters in the word 'independent', one of which is the letter 'p'.

When those letters are written on individual cards and they are put into a box, there are 11 different choices to pick at random.

This means the individual probability of getting a 'p' is:

[tex]\displaystyle P_1=\frac{1}{11}[/tex]

The card is reinserted into the box, leaving the sample space unaltered, thus the second card has the same probability:

[tex]\displaystyle P_2=\frac{1}{11}[/tex]

We'll use the multiplication rule. Just multiply the probability of the first event by the second.

[tex]\displaystyle P=P_1*P_2=\frac{1}{11}*\frac{1}{11}[/tex]

[tex]\displaystyle P=\frac{1}{121}[/tex]

The probability of obtaining the letter p twice is 1/121

How many fifths in 3/4?

Answers

4 cups [US] = 1.063 (1 1/8) fifths

Answer:

19

Step-by-step explanation:

Multiply (6.5 x 10)(1 x 10). Express the result in scientific notation.

Answers

Answer:

ans=6.5×10²

Step-by-step explanation:

ans =650=6.5×10²

Evaluate: 12y+9d if y = 5 and d = 7

Answers

Answer:

123

Step-by-step explanation:

Substitute values of y and d into equation.

12y+9d = 12(5) + 9(7)

Evaluate.

12(5) + 9(7) = 60 + 63

Simplify.

60 + 63 = 123

Answer:

123

Step-by-step explanation:

12y + 9d

12(5) + 9(7)

60 + 63

123

Solve for x , if x + 47 = -23 .

x =

Answers

Answer:

-70

Step-by-step explanation:

subtract 47 from both sides to get

x = -23 - 47

Answer:

Step-by-step explanation:

x + 47=-23

x + 47 - 47=-23 - 47

x=-70

For the right triangle shown, use the trig functions to find the value of x. Round your answer to the nearest tenth.

1. 9.1
2. 8.2
3. 9.4
4. 7

Answers

Answer:

[tex]\boxed{\boxed {\sf 3. \ 9.4}}[/tex]

Step-by-step explanation:

First, recall the three basic right triangle trigonometry ratios.

sin(θ)=opposite/hypotenuse cos(θ)= adjacent/hypotenuse tan(θ)= opposite/adjacent

Theta (θ) represents the angle. The angle (other than the right angle) is 70 degrees.

We are also given 2 sides: 10 and x.

10 is the hypotenuse, because it is opposite the right angle. x is opposite the 70 degree angle.

Since we have the opposite and hypotenuse, we must use sine.

[tex]sin (\Theta)= \frac{opposite}{hypotenuse}}[/tex]

The angle is 70 degrees, the opposite is x, and the hypotenuse is 10.

[tex]sin(70)=\frac{x}{10}[/tex]

We are solving for x. We must isolate x on one side of the equation.

Currently, x is being divided by 10. To "undo" the division, we must perform the inverse operation, which is multiplication. Multiply both sides of the equation by 10.

[tex]10*sin(70)=\frac{x}{10}*10[/tex]

[tex]10*sin(70)=x[/tex]

[tex]10*0.939692621=x[/tex]

[tex]9.39692621=x[/tex]

Round to the nearest tenth. The 9 in the hundredth place tells us to round the 3 up to a 4.

[tex]9.4 \approx x[/tex]

x is about 9.4

Answer:

First, recall the three basic right triangle trigonometry ratios.

sin(θ)=opposite/hypotenusecos(θ)= adjacent/hypotenusetan(θ)= opposite/adjacentTheta (θ) represents the angle. The angle (other than the right angle) is 70 degrees.

We are also given 2 sides: 10 and x.

10 is the hypotenuse, because it is opposite the right angle.x is opposite the 70 degree angle.Since we have the opposite and hypotenuse, we must use sine.

sin (\Theta)= \frac{opposite}{hypotenuse}}

The angle is 70 degrees, the opposite is x, and the hypotenuse is 10.

sin(70)=\frac{x}{10}sin(70)= 10x

We are solving for x. We must isolate x on one side of the equation.

Currently, x is being divided by 10. To "undo" the division, we must perform the inverse operation, which is multiplication. Multiply both sides of the equation by 10.

10*sin(70)=\frac{x}{10}*1010∗sin(70)= 10x

∗10

10*sin(70)=x10∗sin(70)=x

10*0.939692621=x10∗0.939692621=x

9.39692621=x9.39692621=x

Round to the nearest tenth. The 9 in the hundredth place tells us to round the 3 up to a 4.

9.4 \approx x9.4≈x

x is about 9.4

The cost of painting a wall that is 5 meters wide and 2 1/2 meters tall is $50. How many square meters can be painted for $1?

please answer asap

Answers

Answer: If the a and b of your formula mean how many hours it takes each

person, like a = 2 and b = 1, then the formula gives 3/2 or 1 hour and

30 minutes.  This is not reasonable, since one of the painters alone

could do it in 1 hour.  

Actually, your formula is UPSIDE DOWN. It should be (a*b)/(a+b).

Here's why.  

Let h be the number of hours it takes for the two of them to do it

together. The first person could do it all in a hours, but can paint

only a fraction of the wall working h hours. Assuming a constant rate

of painting, that fraction is h/a. That is, the first painter will

paint h/a of the wall in h hours.  

Similarly, the second painter will paint h/b of the wall in that time.

So, when will they be done? When the whole wall is painted, which

happens whenever those 2 fractions add up to 1.  

You need to solve the following equation:

 (h/a) + (h/b) = 1  

     h*b + h*a = a*b           Multiplying through by a*b

       h*(b+a) = a*b           Factoring out h

             h = (a*b)/(a+b)   Dividing both sides by b+a

Okay, now say 3 painters could do it in a hours, b hours or c hours,

respectively. Let h be the number of hours they all must work to get

it all painted. The first painter finishes h/a of the wall in that

amount of time. The other 2 painters manage to paint h/b of the wall

and h/c of the wall in that time.  Since h is the time to finish the

job, all 3 of these fractions must add up to the whole wall, or 1.  

So you have the equation:

   

       h     h     h        

      --- + --- + ---  =  1

       a     b     c    

 

Solve this for h (start by multiplying through by a*b*c) and you will

get the generalized formula for 3 painters. It's not the formula you

wrote above but I think you can finish it off.

 

(I hope this helps. I'm sorry if it's wrong)

A bag contains 4 red marbles, 3 blue marbles and 7 green marbles. If three marbles
are drawn out of the bag, what is the probability, to the nearest 1oth of a percent, thai
all three marbles drawn will be green?

Answers

Answer:

20%

Step-by-step explanation:

4+3+7=14

14÷7=2

2×10=20

If I am wrong please tell me I haven't had to do this me method in 3 years

For the class field trip, the fourth grades at Jefferson Elementary School need to take buses. Each bus fits 55 students and there are 200 students in fourth grade. How many buses will they need?
3 buses
3 R20 buses
4 buses
None of these is correct.

Answers

you would need 4 buses to bring all the students because you would still have some students left to ride the bus if you only get 3 buses

They will need 4 buses.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

For the class field trip,

the fourth grades at Jefferson Elementary School need to take buses.

Each bus fits 55 students,

and there are 200 students in fourth grade.

The number of buses,

= 200/55

= 3.63

≈ 4.

Therefore, the need is for 4 buses.

To learn more about the division;

https://brainly.com/question/13263114

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what is the result of 54×18 written in standard form

Answers

Answer:

9.72 x 10^2

Step-by-step explanation:

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