The length of one ramp is 16 feet. The vertical rise is 5 feet. Use pythagorean theorem to estimate the ramp’s horizontal distance. (round to the nearest tenth of a foot) *

Answers

Answer 1

Answer:

The ramp's horizontal distance is the distance in the x-axis. So the ramp's vertical distance I.e y-axis is 14 inches. And its length which is actually the hypotenuse ofthe right angled triangle 16 feet. But let's convert feet to inches first. 1 feet makes 12 inches Hence 16 feet makes 192 inches. From pythagoras a^2 =b^2 + c^2 where a the hypotenuse is 192 and b is 14. C is the ramp's horizontal distance. So we have (192)^2 = (14)^2 + c^2 C^2 = 192^2 - 14^2 = 36668 C = 191.48 From SOHCAHTOA. We have to use Sin So sin theta = (14/192) Theta = sin^(-1) (14/192) = 4.1815. Yes, it meets the FAC standard since the ramp's angle is less than 4.78

Step-by-step explanation:


Related Questions


Help please and thanks

Answers

Answer:

Rate of change of length of shadow is [tex]\frac{15}{7} ft/s[/tex]

Step-by-step explanation:

Consider the figure

We have

[tex]\begin{aligned}&\frac{d x}{d t}=\text { rate of person walking } \\&\frac{d y}{d t}=\text { rate of change of shadow length } \\&\frac{d x}{d t}+\frac{d y}{d t}=\text { rate of change of tip of shadow }\end{aligned}[/tex]

[tex]\begin{aligned}&\frac{6}{20}=\frac{y}{x+y} \\&6(x+y)=20 y \\&6 x+6 y=20 y \\&6 x=14 y\end{aligned}[/tex]

[tex]6\left(\frac{d x}{d t}\right)=14\left(\frac{d y}{d t}\right)\\\\6(5)=14\left(\frac{d y}{d t}\right)\\\\\frac{30}{14}=\frac{d y}{d t}\\\\\frac{15}{7}=\frac{d y}{d t}\\\\[/tex]

Rate of change of length of shadow is [tex]\frac{15}{7} ft/s[/tex]

how can I simplify of 9/20:3/5 please explain step by step

Answers

Answer:

Mark as brainlist

Step-by-step explanation:

Steps for dividing fractions

Find the reciprocal of the divisor. Reciprocal of 35: 53.

So, 920 ÷ 35 = 920 × 53.

= 9 × 520 × 3 = 4560.

After reducing the fraction, the answer is 34.

Answer:

3/4

Step-by-step explanation:

9/20:35=9/20/3/5

=9/20*5/3

=45/60

=simplify both numbers by 15

=3/4

I thought of a number. This number double is 7 less than 29. What is my number? hurry please

Answers

Answer:

11

Step-by-step explanation:

11*2=22

29-7 =22

Answer:

11

Step-by-step explanation:

Let x be your number

Is means equals

2x = 29-7

2x= 22

2x/2 = 22/2

x =11

3 poil The ratio of the number of Taylor's CDs to the number of Dave's CDs is 7 to 9. Taylor has 84 CDs. Together how many CD's do they have? ​

Answers

Answer:

192

Step-by-step explanation:

The 7 part of the ratio relates to Taylor's 84 CDs

Divide the amount by 7 to find the value of one part of the ratio.

84 ÷ 7 = 12 ← value of 1 part of the ratio, then

9 parts = 9 × 12 = 108 ← number of CDs Dave has

Total CDs = 84 + 108 = 192

14 14) Write an expression for the perimeter of a
rectangular room with sides x + 4 and
2x - 3
f
A) 3x + 7
C) 6x + 2
B) 3x + 1
D) 6x + 12

Answers

Check the picture below.

Choose the symbol that correctly compares the fractions below.

Answers

Answer: A. ( > )

Step-by-step explanation: When you learn fractions, the fraction with the smaller numerator ( the top number) is the greater fraction because it contains more parts of the whole.

Need help with math

Answers

I have no idea math should have been working hade books bye sorry

WILL GIVE BRAINLIEST

Answers

Answer:

its the 2nd and the 6th one

Step-by-step explanation:

What is 10% of 75? Use the double number line below to label your work and answer.

Answers

Answer: the answer is 7.5

Step-by-step explanation:

10% of 75 is 7.5 , this is because 75 divided by 10 is 7.5

b) Abus covers 270 km distance in 6 hours. (i) Find the speed of the bus in km per bour. (ii) How many kilometres does it travel in 9 hours at the same speed ?in full languages

Answers

Answer:

(i)= 45 KPH, (ii) = 251 miles

Step-by-step explanation:

'Per' essentially means divide. Thus, to find Kilometres per hour, divide 270 by 6= 45. The bus is travelling at 45 KPH.

Then, to see how far a nine hour trip would cover, distance = speed * time =  251 miles.

Answer:

Below.

Step-by-step explanation:

(i) Speed of the bus = 270/6 = 45 km/hour.

(ii) In 9 hours it travels 45 * 9 = 405 km.

Lashonda finished a race in 5 minutes. How many seconds is this

Answers

Answer:

300 seconds

Step-by-step explanation:

There are 60 seconds in a minute. If there are 5 minutes, you have to multiply 5 by 60.

5 x 60 = 300

-hope it helps

Answer:

360 sec

Step-by-step explanation:

this is because 60sec is one mintute

so 60x5= 360

fnd the highest common factor of -8xy and 20y

Answers

Answer:

[tex]\huge\boxed{\boxed{2}\cdot\boxed{2}\cdot\boxed{y}=4y}[/tex]

Step-by-step explanation:

[tex]-8y=-2\cdot\boxed{2}\cdot\boxed{2}\cdot \boxed{y}\\\\20y=\boxed{2}\cdot\boxed{2}\cdot5\cdot\boxed{y}[/tex]

2,548 rounded to the nearest hundred

Answers

Answer:

the answer is  2,500

Step-by-step explanation:

any number higher than 5 you round up but any number lower than 5 you round down.

4 is lower than 5 so you round it down and the 5 stays the same, and replace it with 0's.

Help , please ?? If you can thank you ..4 more

Answers

[tex]14+3c^2-15+c\\\\=14+3(4^2)-15+4\\\\=3(16)-1+4\\\\=48+3\\\\=51[/tex]

When a number is subtracted from 24 and the difference is divided by that number, the result is 3. What is the value of the number?

a) 2
b) 4
c) 6
d) 12
e) 24

Answers

24-x /x= 3
24-x= 3x
24= 4x
x= 6

A parking garage charges $1.76 for the first hour and $0.50 for each additional hour or part of an hour. What is the maximum length of timo Tom can park in the garage if he wishes to pay no more than $2.76?

Answers

Answer: 3 hours

Step-by-step explanation:

Mark which expressions represent the distance between 46 and-15

Answers

|-15-46|
...........

48 is what percent of 12​

Answers

Answer:

48 is 25% of 12

Step-by-step explanation:

400%

Explanation: 12x4 is 48 therefore you translate that 4 into 400%

Hope that’s correct it seemed phrased odd

(-1,-3); slope 5
PLEASE HELP

Answers

What you need?
I don’t understand

PLEASE I NEED FAST CLEAR ANSWERS

Answers

Answer:

A, B and C

Step-by-step explanation:

They all can mirror to overlap perfectly with the other side of the shape.

D and E can not

I hope this helps :)

Answer:

A    C     B

Step-by-step explanation:

those are the right answers i just did it hope it helps

A farmer's total payment for tools and compost over the course of two years is $27,894. Write and
solve an equation to find the payment for the second year if the first year’s payment is $10,205.

Answers

Answer:

The second years payment is 17689.

Step-by-step explanation:

If the first year is $10,205 then you subtract 10205 from 27894 which is 17689.

Equation: $27894-$10,205= $17689


I need help doing this

Answers

The answer is 3 because x is -7. I hope this helps!

The area of a trapezoid is 140 cm2 and the height is 20 cm. What is the sum of the bases?

A. 14 cm

B. 49 cm

C. 60 cm

D. 7 cm

Answers

Answer:

the answer is 14

Step-by-step explanation:

[tex]1 \div 2b \times h = 1 \div 2 \times 20 \times b = 140 \: so \: base \: = 14[/tex]

hope this helped

The sum of the bases of a trapezoid using height is 20 cm is 14 cm.

Thus, option (A) is correct.

The formula to calculate the area of a trapezoid is given by:

Area = 1/2 x height x sum of bases

Given that the area is 140 cm² and the height is 20 cm.

Now, rearrange the formula to solve for the sum of the bases:

Sum of bases =  (2 x Area) / (height)

Substitute the given values:

Sum of bases =  (2 x 140) / (20)

                       = 14

So, the sum of the bases is 14 cm.

Thus, option (A) is correct.

Learn more about area of Trapezium here:

https://brainly.com/question/16508383

#SPJ3

128x^2-162

How do you factor this

Answers

If any doubt leave a comment

Find the least common denominator for these fractions. Enter your answer in
the space provided.

Answers

Answer:

5/12

Step-by-step explanation:

1/4 and 1/6 are fractions.

As we directly can't add fractions whenever denominators are different, so we will have to find out the Least common multiple of 4 and 6.

The LCM Of 4&6 will be 12, so we will write 12 instead of 4&6.

Now, 4*3=12, that is why we will have to multiply the numerator and denominator with 3.

1*3/4*3 = 3/12

Same thing applies to 1/6. In order to get 12 in the denominator we need to multiply 2 with numerator and denominator both.

1*2/6*2= 2/12

However, we have two new fractions with same denominator now, that is 3/12 and 2/12

We can directly add the numerators now, as we have the same denominator. So 3+2/12= 5/12 would be my final answer. (addition of like fractions)

5/12

This table shows the median age of
women who were first married in different
years. During which time interval did the
age increase at the greatest rate? What
was the rate of increase for that interval?
Year
1950 1980 1990 1995
2000
Age
20.3
22.0
23.9
24.5
25.1
(yr)

Answers

Answer:

1950-1980

Step-by-step explanation:

...........

4x+3y=7 what is the coefficients

Answers

co-efficient of x is 4co-efficient of y is 3constant term is -7

nasa pick po yong sagot

#CARRYONLEARNING

loveuall:)

Statement of cash flows (partial)

Answers

Yeaa that is what the problem is

There are two spheres; the radius of the big sphere is two times the radius of the small sphere. How many times larger is the volume of the big sphere compared to the small one?

Answers

The volume of the bigger sphere is 8 times larger than the volume of the smaller sphere.

The formula of the volume of a sphere is given below

⇒ Formula:

V = 4/3(πr³)................. Equation 1

⇒ Where:

V = Volume of the spherer = radius of the sphereπ = constant called pie

From the question, There are two spheres.

If the radius of the bigger sphere is two times the radius of the smaller sphere.

R = 2r

⇒ Where

R = bigger radiusr = smaller radius

For the bigger sphere

⇒ Substitute these values into equation 1

V = 4/3(π(2r)³)V = 4/3(π8r³)............. Equation 2

  For the smaller sphere,

V' = 4/3(πr³)............... Equation 3

⇒ Comparing equation 2 and equation 3

V = 8V'

Hence, The volume of the bigger sphere is 8 times larger than the volume of the smaller sphere.

Learn more about volume here: https://brainly.com/question/1972490

Please answer these!!!! :D

Answers

Question 7: greater than
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