Mathematics High School

Find the ratio of the longest side to the perimeter of the​ right-triangular-shaped billboard. 20 feet 21 feet 29 feet

Answers

Answer 1
29:70

29/70

29 to 70

the ratio is 29 ft. to 70 ft.
Answer 2

Solution:

we have been asked to find the ratio of the longest side to the perimeter of the​ right-triangular-shaped billboard.

Sides of the right-triangular-shaped billboard are 20 feet 21 feet 29 feet.

As we know perimeter is just the sum of all the sides.

Perimeter[tex]=20+21+29=70\\[/tex]

And the longest side is 29 feet.

Hence the required ratio  [tex]=\frac{29}{70}=29:70[/tex]

Related Questions

For a given right triangle side a =490 feet and side b = 960 feet

Answers

Given that the sides of a right triangle is a=490 ft and b=960 ft,  the value of c will be found using Pythagorean theorem
c²=a²+b²
c²=490²+960²
c²=1,161,700
c=1077.822
the value of the third side is c=1077.822 ft

please help me

how many perpendicular bisectors can be constructed for a line segment?

a.) 0
b.) 1
c.) 2
d.)infinitely many,

Answers

Bisector means any line which divides the line segment is two equal parts. In this case the Perpendicular bisector will be straight in upward or downward direction from the middle of the line segment. Any line segment can have only one mid point. Hence any line segment can have only one Perpendicular bisector. Hence correct answer is B that is 1.

What is the distance between the points (5, 7) and (-3, 4) on the coordinate plane?

Answers

subtract 3-4 from zero to get it into a even number then once you have that answer you will subtract the answer that you got from 5,7 and then you will find you're answer

Answer:

Option B  [tex]8.54\ units[/tex]


Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to


[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]


Let

[tex]A(5,7)\\E(-3.4)[/tex]  

substitute the values


[tex]dAB=\sqrt{(4-7)^{2}+(-3-5)^{2}}[/tex]


[tex]dAB=\sqrt{(-3^{2}+(-8)^{2}}[/tex]


[tex]dAB=\sqrt{73}=8.54\ units[/tex]


what is the sum or difference 10y^10-14y^10

Answers

The two monomial have the same variable to the same power so you just subtract the 14 from 10:

[tex]10y^{10}-14y^{10}\\\\(10-14)y^{10}\\\\-4y^{10}[/tex]

Answer:

The required solution is [tex]-4y^{10}[/tex].

Step-by-step explanation:

The given expression is

[tex]10y^{10}-14y^{10}[/tex]

Take out the common factor [tex]y^{10}[/tex] from both terms.

[tex]y^{10}(10-14)[/tex]

[tex]y^{10}(-4)[/tex]

[tex]-4y^{10}[/tex]

Therefore the required solution is [tex]-4y^{10}[/tex].

Select the actual distances represented by the following scale distances if the map scale is 1 centimeter = 1 kilometer

23 centimeters =
a. 0.023 kilometers
b. 0.23 kilometers
c. 23 kilometers




0.5 centimeters =
a. 0.5 kilometers
b. 50 kilometers
c. 500 kilometers


9 centimeters =
a. 0.9 kilometers
b. 9 kilometers
c. 0.009,

Answers

23 centimeters =
 We make the following rule of three:
 1 centimeter ----> 1 kilometer
 23 centimeter -> x kilometer
 We clear x:
 x = (23/1) * (1)
 x = 23 kilometers
 0.5 centimeters = 
 We make the following rule of three:
 1 centimeter ----> 1 kilometer
 0.5 centimeter -> x kilometer
 We clear x:
 x = (0.5 / 1) * (1)
 x = 0.5 kilometers

 9 centimeters =
 We make the following rule of three:
 1 centimeter ----> 1 kilometer
 9 centimeter -> x kilometer
 We clear x:
 x = (9/1) * (1)
 x = 9 kilometers

 Answer:
 c. 23 kilometers 
 a. 0.5 kilometers 
 b. 9 kilometers

Answer:

Correct options are:

c

a

b

Step-by-step explanation:

The map scale is:

1 centimeter = 1 kilometer

23 centimeters=23 kilometers

Correct option is: c

0.5 centimeters=0.5 kilometers

Correct option is: a

9 centimeters=9 kilometers

Correct option is: b

The measure of an angle is 68°. what is the measure of a complementary angle?

Answers

22 degrees. This is because in a complementary angle the angles add up to 90 degrees. So if you know that one is 68 degrees then the other is 90 -68 degrees = 22 degrees.

FOR THESE 3 QUESTION I WILL GIVE 40 POINTS BRAIN LEST AND 5 STAR RATEING

Answers

1. C is a flat line so the answer is Linear constant.

2. C is decreasing

3. Sasha did not withdraw or deposit any money

Circle Y is shown. What is the area of the shaded part of the circle?

Answers

This question will employ the use of the formula for the area, A, of a sector of any circle. The formula is as:

[tex] A=\frac{\theta}{360^{\circ}}\times \pi r^2 [/tex]

Where [tex] \theta [/tex] is the angle subtended by the required sector. In our case, the sector is the shaded region and we need to find the angle of that shaded region. We know that the total angle of a circle is 360 degrees and the unshaded region subtends an angle of 75 degrees. Thus, the value of [tex] \theta [/tex] is calculated to be:

[tex] \theta=360^{\circ}-75^{\circ}=285^{\circ} [/tex]

r is the radius of the circle which in our case is 9 cm.

Thus, the area of the shaded region is:

[tex] A=\frac{285}{360}\times \pi\times 9^2=\frac{19}{24}\pi\times 81 =\frac{19\times 81}{24}\pi [/tex]

[tex] \therefore A=\frac{19\times 27}{8}\pi=\frac{x}{y} =\frac{513}{8}\pi [/tex] cm^2

Thus, Option D is the correct option.


how many numbers are between 1 and 3 ?

Answers

If we are talking about whole numbers, the only number in between 1 and 3 is 2 but if we are talking about numbers in general, there are an infinite amount of numbers (for example, 1.1, 1.12, 1.004, and 1.80543285 are all in between 1 and 3).

In a game of poker 5 cards are drawn from a pack of 52 well shuffled cards. find the probability that at least one ace is drawn

Answers

We know that there are 4 possible aces to draw in a deck of cards, so that becomes the numerator. We also know that there are 52 total cards to choose from, so that becomes the denominator. We then simplify the fraction to get a probability of 1/13

What is the ratio for the volumes of two similar cylinders, given that the ratio of their heights and radii is 3:7?

Answers

the answer is 27:343
Gooday

Answer:

The ratio is [tex]\frac{27}{343}[/tex] or 27:343

Step-by-step explanation:

The volume of cylinder is = [tex]V=\pi r^{2} h[/tex] ; where r is radius and h is height.

Given that the ratio of the heights and radii of two similar cylinders is 3 : 7.

Let r' be the radius and h' be the height of the other cylinder.

Its volume is [tex]V'=\pi r'^{2} h'[/tex]

According to the given information, we have

[tex]\frac{r}{r'}=\frac{h}{h'}=\frac{3}{7}[/tex]

Hence, we get

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

= [tex](\frac{3}{7})^{2} \times \frac{3}{7}[/tex]

= [tex]\frac{27}{343}[/tex]

Therefore, the ratio is 27:343

1. If 9 students sharpen 18 pencils in 2 minutes, how many students will it take to sharpen 18 pencils in 1 minute?
A.) 2
B.) 9
C.) 18
D.) 36

2. If y varies inversely with x, and y = –16 when x = –64, what is the constant of variation?
A.) 16
B.) 64
C.) 100
D.) 1,024

3. The pair of points (3, 8) and (x, 6) are on the graph of an inverse variation. What is the missing value?
A.) 4
B.) 3
C.) -1
D.) 1,

Answers

A) If 9 students sharpen 18 pencils in 2 minutes,Then if the time is halved, it will take twice as many men to sharpen 18 pencils.Hence it will take 18 students to sharpen 18 pencils in one minute B) y & 1/x. Then y = K/x where K is our constant of proportionality.Then K = yx. When x = -64 and y = -16 then K = -64 * -16 = 1024. Option DC) When x = 3 y = 8. So for an inverse variation K as calculated from B = 3 * 8 = 24.Then when K = 24 and y = 6; we have 24 = 6x. Hence x = 4. Option A

The cost of producing hard drives has three parts: cost of materials, cost of labor, and cost of equipment. To produce x hard drives, the cost of materials is 30x dollars and the cost of labor is 10x cents. The cost of equipment is a one-time, fixed amount of $10,000. Which equation could represent the cost function for making x hard drives? Answer Choices f(x)=10,030.1x f(x)=10,000x+40 f(x)=30.1x+10,000 f(x)=40x−10,000

Answers

Let [tex]x[/tex] represent the number of hard drives produced.
The first thing we need to do is convert 10 cents to dollars:
[tex]10cents( \frac{1dollar}{100cents} )=0.1dollar[/tex]. Now, we know that the the cost of materials is 30 dollars and the cost of labor is  0.1 dollars, so the total coast to produce [tex]x[/tex] hard drives will be: [tex]30+0.1=30.1x[/tex].
Now the only thing left is add the cost of equipment to complete our function:
[tex]f(x)=30.1x+10000[/tex]

We can conclude that the equation that could represent the cost function for making x hard drives is f(x)=30.1x+10,000

A car traveled 75% of the way from town A to town B at an average speed of 50 kmph. The car travels at an average speed of S kmph for the remaining part of the trip. The average speed for the entire trip was 40 kmph. What is S?,

Answers

the car would have been traveling at 10kmph for the remaining 25 percent of the trip. 50 times 3 (25 percent segments) is 150, use math to solve for four 25 percent segments.

Suppose you roll a special 49-sided die. what is the probability that the number rolled is a "1" or a "2"?

Answers

Final answer:

The probability of rolling a "1" or a "2" on a 49-sided die is found by adding the separate probabilities of each event, resulting in 2/49 or approximately 0.04082.

Explanation:

In probability, when you want to find the chance of one event or another occurring, you add the probabilities of each event if they cannot happen at the same time. Given a special 49-sided die, each outcome is equally likely, and every roll is an independent event. Therefore, the probability of rolling a "1" is 1 out of 49, and the probability of rolling a "2" is also 1 out of 49. To find the combined probability of rolling either a "1" or a "2", you simply add these two probabilities together.

The probability of rolling a "1" is 1/49, and the probability of rolling a "2" is 1/49. So, the combined probability (P) is:

P("1" or "2") = P("1") + P("2") = 1/49 + 1/49 = 2/49 or approximately 0.04082.

The number of assists per match for the setter on your school's volleyball team has a mean of 58 and a standard deviation of 7. If in the last game he made 77 assists, how many standard deviations is that from the mean?

Answers

To get the number of standard deviation that 77 is from the mean, we get the z-score:
z-score is given by
z=(x-μ)/σ
where:
μ-mean
σ-standard deviation
thus the value of z from the information above is:
x=77
μ=58
σ=7
z=(77-58)/7=2.7143

Which of the following rational numbers is equal to 3.4? (line above the four)

A: 31/9

B. 32/9

C. 33/9

D. 34/9

Answers

Hey there! :D

So, we can just divide all the numbers to figure it out. 

31/9= 3.44444444

32/9=3.5555556

33/9= 3.66666777

34/9= 3.777778

The closest number to 3.4 is 31/9. "A" is the correct answer. 

I hope this helps!
~kaikers

Answer:

I believe the answer is A, out of all numbers, it seems to be the closest to 3.4.

Step-by-step explanation:

how Many decameters are in 13 hectometers

Answers

3 that is super easy u should know this

1000p for an answer please

Answers

The answer is C) 3 5/12 cups.
im pretty sure its 3 5/12 sry if im wrong

Solve for x.

2x = 15 + x

Answers

I did it and got x=15

The solution to the equation is x = 15.

We have,

To solve the equation 2x = 15 + x, we want to isolate the variable x on one side of the equation.

First, we can simplify the equation by subtracting x from both sides:

2x - x = 15 + x - x

This simplifies to:

x = 15

Thus,

The solution to the equation is x = 15.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ6

Someone please help me

Answers

8x^3 + 12x^2 + 6x + 1 hope this helps.

A recipe cal for 2 1/2 cups of flour to make 2 dozen cookies.How many cups of flour would be required to bake 15 dozen cookies

Answers

15/2 = 7 1/2

2 1/2 * 7 1/2 = 18 3/4 cups of flour
Hello!

2 1/2 = 2.5 as a decimal

2.5 ÷ 2 = 1.25

So, it takes 1.25 (1 1/4) cups of flour for each dozen of cookies.

1.25 × 15 = 18.75

ANSWER:

18.75 (18 3/4) cups of flour would be required to bake 15 dozen cookies.

WRITE IN SIMPLEST FORM : COS INVERSE( 3/5 COS X + 4/5 SIN X ),

Answers

Let Cos Y = 3/5 sin Y = 4/5 We know. cosYcosX+sinXsinY = cos (X-Y) COS INVERSE( 3/5 COS X + 4/5 SIN X ) = COS INVERSE( cosYcosX+sinXsinY) = COS INVERSE(cos (X-Y) = X-Y = X- cos inverse 3/5 = X - 57degrees

Darcy deposited $390 into a savings account. As long as the account balance remains at or above $150, she does not have to pay a service fee for the account. For how many months can she withdraw $40 a month without having to pay service fees?

Answers

6 months because 40*6=240 an 390-240=150 which is exactly the amount of money the bank account has to have to not pay service fee. 

The number of months that she can withdraw $40 is 6 months.

How many times can she withdraw $40?

The equation that can be used to determine the number of times she can withdraw $40 and still have at least $150 is:

$150 = $390 - $40x

Where: x is the number of withdrawals

In order to determine the value of x, take the following steps

Combine similar terms: $390 - $150 = $40x

Add similar terms: $240 = $40x

Divide both sides of the equation by $40

x = 6

To learn more about division, please check: https://brainly.com/question/194007

How do I solve these trigonometric equations!!?

Find all solutions in the interval [0, 2π).

(sin x)(cos x) = 0

Find all solutions in the interval [0, 2π).

cos2x + 2 cos x + 1 = 0

Find all solutions to the equation.

cos2x + 2 cos x + 1 = 0

(I am not looking for easy answers to cheat, I just need help on how to solve them...Im a bit confused and my teacher is not avail),

Answers

1) (sin x)(cos x) = 0 This means that either sin x = 0, or cos x = 0. Sin x = 0 when x = 0 or pi. cos x = 0 when x = pi/2 or 3pi/2. 2) cos2x + 2cosx + 1 = 0 First, expand cos2x. Simple trigonometric identity states that cos2x = (cos x)^2 - (sin x)^2.Now, substituting this equation, we get cos2x + 2cosx + 1 = (cos x)^2 - (sin x)^2 + 2cosx + 1. Note that we can now utilize the identity (cos x)^2 = 1 - (sin x)^2 to obtain (cos x)^2 + 2cosx + 1 - (sin x)^2 = 2(cos x)^2 + 2(cos x) = 0. Now, we can see that 2(cos x)^2 + 2(cos x) = 2(cos x)(cos x + 1) = 0. This is true when cos x = 0 or cos x + 1 = 0. Cos x = 0 when x = pi/2 or 3pi/2. cos x = -1 when x = pi. Therefore, x = pi/2, pi or 3pi/2.

Find the measure of the supplement of the angle.

Answers

If they are supplements the angles add up to 180

So to find this one
180 - 37.6 = 142.4
supplement angles sum = 180
m<B = 37.6

then
180 - 37.6 = 142.4

answer

A. 142.4

Which expression represents the total surface area, in square meters, of the rectangular pyramid below?

Answers

(2xhb)+(lb)

h= hight of triangle
b= base
l= lenght
b= breath

Answer:

B

Step-by-step explanation:

:)

Stacy fails 1/2 cup measuring cup seven times to have enough flour for cake recipe how much flour does the cake recipe call for

Answers

7 times of 1/2 cup  = 7 x 1/2
7 times of 1/2 cup  = 7/2
7 times of 1/2 cup  = 3 1/2 cups.

--------------------------------------------------
The recipe called for 3 1/2 cups of flour
--------------------------------------------------

Is the number written in scientific notation? If not, explain.
a. 0.15 x 104
b. 7.06 x 10−8
c. 3.3 x 10012

Answers

Final answer:

The second example (7.06 x 10^-8) is correctly written in scientific notation, but the first (0.15 x 10^4) and third (3.3 x 100^12) examples are not. In scientific notation, the decimal part of the number should be between 1 and 10 and the exponent of 10 should be an integer.

Explanation:

The topic is scientific notation. The number is expressed in scientific notation if it has the form a × 10^n, where 1 ≤ |a| < 10 and n is an integer.

Let's see if the given numbers are in scientific notation:

0.15 x 10^4 - No, this is not in scientific notation. The decimal part of the number, 0.15, is not between 1 and 10.7.06 x 10^−8 - Yes, this is correctly written in scientific notation. The decimal part of the number, 7.06, is between 1 and 10 and the power of 10 is an integer.3.3 x 100^12 - No, this is not in scientific notation. The power of 10 is supposed to be a straight integer, not another exponential number.

Learn more about Scientific Notation here:

https://brainly.com/question/16936662

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option b (  7.06 x 10⁻⁸)

a. 0.15 x 104

No, this number is not written in proper scientific notation.

In scientific notation, the coefficient must be a number between 1 and 10.

So, 0.15 can be expressed as 1.5 by moving the decimal point one place to the right.

Hence, it should be written as 1.5 x 103.

b. 7.06 x 10-8

Yes, this number is written in proper scientific notation.

The coefficient, 7.06, is correctly between 1 and 10.

c. 3.3 x 10012

No, this number is not written correctly due to the format of the exponent.

The correct form should be 3.3 x 1012.

So, the corrected scientific notation is 3.3 x 1012.

I confused on how to solve these trigonometric ratios.

Answers

◆ Triangles ◆

Hey !!

8th question solved in the figure attached above ,

For 9th question's answer ,

cos 24° = 11/x = 0.913545

---> [ x=12.041 ] Ans.
.

In 10th question ,

sin 35° = x/4.1 = 0.573576

---> [x=2.352 m] Ans.

Hope it helps you :)
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