Given :
Height of the window, h = 5 ft.
Distance of the sidewalk from the house, d = 12 ft.
To Find :
The length of the slope.
Solution :
We know, angle between wall and the floor is 90°.
So, we can say that the system makes an right angle triangle.
Let, length of the ramp is x.
So, Applying Pythagoras theorem in the triangle is :
[tex]x^2 = 5^2 + 12^2 \\\\x^2 = 25 + 144\\\\x^2 = 169\\\\x = 13\ m[/tex]
Therefore, the length of the ramp is 13 m.
Triangles please and thanks
Answer:
60 degrees
Step-by-step explanation:
All sides are equal so it is an equilateral triangle.
Equilateral triangles have 60 degree corners.
A car rental agency charges $31 per day to rent a car and $13.95 per day for a
global positioning system (GPS). Customers are charged for their full tank of gas
at $3.60 per gallon. A car has a 16 gallon tank and a GPS.
a) Write a function rule for the total bill b as a function of the days d the car is
rented,
b) What is the bill for a 10 day rental?
Answer:
$31.00 x10 equals 310 13.95 * 10 =$139.50. 360 * 16 $57
Sign out Fred's bedroom has an area of 54 square feet. The bedroom is 6 times as many square feet as Fred's closet. If the closet is 3 feet wide, what is the length of the closet?
Answer:
3 feet
Step-by-step explanation:
Area of bedroom = 54 square feet.
Area of closet = Area of bedroom / 6= 54/6= 9 square feet.
Area = length * breadth
9 = length *3
length = Area/ width
length = 9/3= 3 feet.
As the bedroom is having 6 times the area of the closet we will divide the area of the bedroom by 6 to get the area of the closet ( 54/6= 9) . Area is obtained by multiplying the length and the breadth so we have the width which 3 feet , we divide the area with the width ( 9/3= 3) to get the length = 3 feet.
IM TIMED PLEASE HELP ME please help math question
7,21,63
what’s the common ratio, recursive function, explicit formula, and the 12 term
Answer:
See explanations below
Step-by-step explanation:
The given sequence 7,21,63... is geomertic in nature
The nth term is expressed as;
Tn = ar^n-1
a is the first term = 7
r is the common ratio = 21/7 = 63/21 = 3
n is the number of terms
Substitute
Tn = 7(3)^n-1
For the 12th term, when n = 12
T12 = 7(3)^12-1
T12 = 7(3)^11
T12 = 7(177,147)
T12 = 1,240,029
Hence the 12th terms is 1,240,029
For the recursive function
First term = 7(1)
2nd term T2 = 21 = 7(3)
3rd term T3 = 63 = 7(9) = 7(3^2)
Tn = 7(3^n)
Hence the recursive function is 7(3^n)
7. If 2 planes have the same velocity, do they have the same speed? EXPLAIN
Answer:
Yes.
Step-by-step explanation:
Velocity is the direction and how fast something is going. The two planes having the same velocity means that they are going the same speed and direction.
pleaseeeeee halpppppppppppppp meeeeee i will mark brainlienst
Answer:
4 x c = 2,528
c = 632
Step-by-step explanation:
Answer:
The bottom one
Step-by-step explanation:
The question is saying they spent $2528 on 4 laptop computers that each cost the same amount so the equation is 4c=2528 .Divide 2528 by 4 to get 632.
P.S. can I get brainlist please?
Alex wrote the equation y = 2x + 3 to describe a tile pattern. Use his equation to complete the table. how would you graph it
If using the method of completing the square to solve the quadratic equation x^2-13x+14=0, which number would have to be added to "complete the square"?
Answer:
169/4
Step-by-step explanation:
Take the coefficient of the x term. Here it's -13. Now halve that, obtaining -13/2. Finally, square this result. We get 169/4. This is the desired number.
x^2 - 13x + 169/4 - 169/4 + 14 = 0
-9m-27n as a product
Answer:
-9m-27n=
-9(m +3n)
[tex]{ \huge{ \green{ \underline{ \bf{Given}} \colon}}}[/tex]
[tex]{ \large{ \red{✮ \: \: \underline{ \underline{ \tt{ - 9m - 27n \: \: as \: \: a \: \: product}}} \colon}}}[/tex]
[tex]{ \huge{ \pink{ \underline{ \bf{Now}} \colon}}}[/tex]
[tex]{ \large{ \blue{ \therefore{ \boxed{ \boxed{ \sf{ - 9(m + 3n)}}}}}}}{ \large{ \orange{ \tt{Ans.}}}}[/tex]
What is are some example of an expression?
Answer: The definition of an example of expression is a frequently used word or phrase or it is a way to convey your thoughts, feelings or emotions. An example of an expression is the phrase "a penny saved is a penny earned." An example of an expression is a smile.
Step-by-step explanation:
5 times a number increased by 2 is the
same as 8 more than 3 times the number.
Find the number.
Answer:
Step-by-step explanation: 5*x + 2 = 3*x + 8
5x - 3x = 8 - 2. Which yields. 2x = 6. Therefore, x = 3. QED
Hey guys please help me!
Answer: Option 2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Because it is
need help. PLEASE! I dont understand
What is the value of the missing angle ? HELPPP PLSSS
Answer:
The angle of a straight line is 180 degrees.
180 degrees-71 degrees=109 degrees
Step-by-step explanation:
3x-2y=12 and 3x+5y=33
Answer:
x=6, y=3. (6, 3).
Step-by-step explanation:
3x-2y=12
3x+5y=33
--------------
-3x+2y=-12
3x+5y=33
-------------------
7y=21
y=21/7=3
3x-2(3)=12
3x-6=12
3x=12+6
3x=18
x=18/3=6
find the perimeter of WXYZ
Answer:
40 but see below.
Step-by-step explanation:
You have to assume that the figure is a parallelogram. That is never a safe assumption, but you have to make it because there is nothing else you can do.
That being the case, to get the perimeter, you just add the sides. If say well y could be just about any value with some limitations, you would be correct.
Per = 12 + 12 + 8 + 8 = 40
PLEASE HELP! GIVING POINTS :)!
Answer:
1 and 1/8
Step-by-step explanation:
pls help me with this multiple choice !
Answer:
C
Step-by-step explanation:
[tex] \sin(30) = \frac{y}{32} \\ y = 16 \\ \cos(30) = \frac{x}{32} \\ x = 16 \sqrt{3} [/tex]
Mafhvjfifjdfjujufugjfdu5\6 + 3\4 = ?
£240 is divided between Sara, Gordon & Malachy so that Sara gets twice as much as Gordon, and Gordon gets three times as much as Malachy. How much does Gordon get? (Quick Pls)
Answer:
£72
Step-by-step explanation:
let Malachy amount be x then Gordon's is 3x and Sara is 2 × 3x = 6x
Then
x + 3x + 6x = 10x = £240 ( divide both sides by 10 )
x = £24
Gordon gets 3x = 3 × £24 = £72
Draw a ring around the point which does not lie on the line y = 3x + 2 * 1 point (100, 302) (2, 8) (0, 4) (9, 29)
Answer:
(0,4)
Step-by-step explanation:
Given the line equation:
y = 3x + 2
Given the points :
(100, 302)
x = 100 ; y =302
302 = 3(100) + 2
302 = 300 + 2
(2, 8)
8 = 3(2) + 2
8 = 6 + 2
(0, 4)
4 = 3(0) + 2
4 ≠ 2
(9,29)
29 = 3(9) + 2
29 = 17 + 2
Sandra has a rectangular pool in her backyard that is 9 feet long and 4 feet wide. A resort has a pool that is similar in shape, as shown. How long is the resort pool, in feet?
Answer:
? = 13.5
PLZ MARK AS BRAINLIEST
Step-by-step explanation:
6/4 = 1.5
9*1.5 = 13.5
Kayla made a full pot of coffee she poured out 52 ounces she now has 18 ounces left how many ounces were in a full pot of coffee
Gordon types 2,146 words in 29 minutes. Find the unit rate.
I really need help??
What is the midpoint of the segment shown below (-1,2) (7,3)
Answer:
Midpoint is (x2+x1) /2 , y2+y1 /2)
(7-1 /2, 3+2 /2)
=(3,5/2)
PLease help the question is in the photo
what is the initial value of the function:
f(x)=3/2(2)^x
Answer:
the initial value -- f(0) -- results in a value of 1.5
Step-by-step explanation:
f(0) = [tex]\frac{3}{2}[/tex] · [tex]2^{x}[/tex] (any value raised to the power of zero equals one)
f(0) = [tex]\frac{3}{2}[/tex] · 1
f(0) = 3/2 or 1.5
Evaluate the sum from n equals four to ten of quantity five n plus two.
202
207
254
259
Answer:
The answer is D. 259
Step-by-step explanation:
Step 1: [tex]\sum _{n=4}^{10}5n+2[/tex]
Step 2: [tex]\sum _{n=1}^{10}5n+2-\sum _{n=1}^35n+2[/tex]
Step 3:
[tex]\sum _{n=1}^{10}5n+2=\sum _{n=1}^{10}5n+2-\sum _{n=1}^35n+2\\\sum _{n=1}^{10}5n+2=295[/tex]
[tex]\sum _{n=1}^35n+2=\sum _{n=1}^35n+\sum _{n=1}^32=36\\[/tex]
Step 4: [tex]295-36=259[/tex]