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Brums [2.3K]
3 years ago
10

A wheelchair access ramp has an angle of elevation of 20°. If the ramp reaches to the top of a 33 inch high porch, how long is t

he ramp?
Mathematics
2 answers:
sashaice [31]3 years ago
8 0
Sinα=height/length

length=height/sinα, we are given that α=20° and h=33 in

length=33/sin20° in

length≈96.49 in (to nearest hundredth of an inch)
ella [17]3 years ago
3 0
This is a sin operation, Sin is the relationship between the opposite (height) and the hypotenuse (length of ramp). Plugging in: Sin(20deg) = 33/x

Sin(20) = 33/x

x*Sin(20) = 33

x = 33/Sin(20)

x = 96.49in long.

*This answer is the length of the SLOPE of the ramp.
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The sum of all but one interior angle of a heptagon is 776°. The final angle must have a measure of
shutvik [7]
A heptagon has 7 sides.

Sum of all interior angles = (7 - 2) x 180 = 900°

900 - 776 = 124°

Answer: The final angle must be 124°
5 0
3 years ago
Read 2 more answers
What is the vertex for<br> f(x)=4(x-2)^2 + 3
Flauer [41]

Answer: (2,3)

Hope this helps! good luck! Have a wonderful day! :)

4 0
4 years ago
Sam and Hector are gaining weight for football season. Sam weighs 205 pounds and is gaining two pounds per
Mademuasel [1]

Answer:

10 weeks

Step-by-step explanation:

205+2t=195+3t

      -2t         -2t

205=195+t

-195 -195

10=t

3 0
4 years ago
Tito receives a weekly salary of ​$450 at an appliance store. He also receives a 4 percent commission on the total dollar amount
Kay [80]
<h2>Hello!</h2>

The answer is:

Tito needs a total of $6500 in sales if he want to receive $710 a week.

The equation is:

TotalAmount=450+Sales*0.04

<h2>Why?</h2>

From the statement we know that his salary is $450 plus a 4% commission on the total amount of all sales he makes.

So, we can write the following equation to determine the total sales in a week if he wants to make a total of $710.

Remember, if we are working with percents, we need to change it to real numbers in order to perform the calculations, we can do it by dividing the percent value into 100.

We have:

TotalAmount=450+Sales*0.04

Now, if he wants to make a total of $710, we have:

750=450+Sales*0.04

750-450=Sales*0.04

Sales=\frac{710-450}{0.04}=6500

We have that Tito needs a total of $6500 in sales if he want to receive $710 a week.

Have a nice day!

3 0
3 years ago
At a wedding reception, the caterer served fishing chicken. The fish dinner cost $12 per person in the chicken cost $9 per perso
maw [93]

Answer:

80 persons haf fish and 152 persons had chicken

Step-by-step explanation:

Given data

let the number of persons that had fish be x and chicken be y

so

12x+9y=2544------------------1

x+y= 232------------------------2

from 2

x= 232-y

substitute the value of x in 1

12(232-y)+9y=2544

2784-12y+9y=2544

2784-3y=2544

3y= 2784-2544

3y=240

y= 240/3

y=80

put y= 80 in 2

x+80= 232

x= 232-80

x=152

Hence 80 persons haf fish and 152 persons had chicken

5 0
3 years ago
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