Answer:
Base = 81 feet
Step-by-step explanation:
Given that,
Length of the ladder = 15 foot
Greg needed to clean his gutters which are 12 feet high from the ground.
We need to find how far away does Greg need to place the ladder from the base of the house to reach the gutters. Let it is b.
Here, hypotenuse = 15 feet, height = 12 feet and base = b
We can use Pythagoras theorem to find b.
[tex]b^2+h^2=H^2\\\\b^2=H^2-h^2\\\\b^2=15^2-12^2\\\\b^2=225-144\\\\b=81\ \text{feet}[/tex]
So, the ladder should be placed at a distance of 81 feet from the base of the house to reach the gutters.
Lisa bought bottles of soda for $2.50 each and a large pizza for $17. The total cost was $27. How many bottles of soda did Lisa buy?
A.
4
B.
3
C.
10
D.
6
Answer:
a
Step-by-step explanation:
27-17= 10$ 2.5 goes into 10 4 times
solve for c
c+d=15
3c+2d=36
WILL MARK BRAINLIEST AND MANY POINTS PLS ANSWER
Madison is making a cleaning solution by mixing a multi-surface cleaner with water in the
ratio of 2 to 11. How many pints of the
cleaner and water does she need to make 39 pints of solution?
Cleaner:
Answer:
Im pretty sure its 33 and 6
Step-by-step explanation:
Answer:
Step-by-step explanation:
Set up a proportion
2/13 = x / 39 Cross multiply
13*x = 2 * 39 Combine the right
13x = 78 Divide by 13
x = 78/13
x = 6
Why pick 13? Because the total must come to 39. You will make a mistake if you use 11 rather than 13. You must include the cleaner in the denominator. Very tricky question.
So the final answer is
Cleaner: 6
Water: 39 - 6 = 33 pints of water.
Very few of your classmates will get this if they are not in chemistry. You might even be told your answer is incorrect. It isn't.
Jake created a scale drawing of an airplane. In the scale drawing, the length of the airplane was 15 inches. The length of the actual airplane is 75 feet. What scale did Jake use to create the scale drawing of the airplane? A. 1 inch represents 15 foot A. 1 inch represents 1 over 5.... , foot, B. 1 inch represents 5 feet B. , 1 inch represents 5 feet, , , C. 5 inches represents 1 foot C. , 5 inches represents 1 foot , D. 5 inches represents 15 foot
Answer:
B. 1 inch represents 5 feet.
Step-by-step explanation:
15 X 5= 75
The Jones family want to enclose the garden with a fence. To the nearest foot (round to the nearest whole number), how much fencing will they need to buy?
Answer:
hey hun, I think u need to give us more information on the question. Is that the full question ??
In ΔVWX, v = 98 inches, w = 95 inches and x=26 inches. Find the measure of ∠X to the nearest 10th of a degree.
Answer:
15.4
Step-by-step explanation:
cos A = b^2 + c^2 - a^2 / 2bc
cos X = 98^2 + 95^2 - 26^2 / 2(98) (95)
cos X = 17953 / 18620
cos X = 0.964
X = cos^-1 (0.964) = 15.38 = 15.4
The price of a 7-minute phone call is $1.05. What is the price of a 19-minute phone call
Answer:
19.95
Step-by-step explanation:
if you take 1.05 times it by 19 you get your answer
The list of ordered pairs is a function. which of the following to be the missing ordered pair? (12,6) (3,1) (2,-2) (5,10) (-8, -4) (___,___)
Answer:
D
Step-by-step explanation:
the awnser is D
Answer:
8,8
Step-by-step explanation:
The function f(t) represents the cost to connect to the Internet at an online gaming store. It is a function of t, the time
in minutes spent on the Internet.
O
$0 0<30
f(t) = $5 30 < 1 S 90
$ 10 > 90
Which statement is true about the Internet connection cost?
It costs $5 per hour to connect to the Internet at the gaming store.
The first half hour is free, and then it costs $5 per minute to connect to the Internet.
It costs $10 for each 90 minutes spent connected to the Internet at the gaming store.
Any amount of time over an hour and a half would cost $10.
Save and Exit
Next
Submit
Mark this and return
no
Answer:the answer is D Any amount of time over an hour and a half would cost $10
Step-by-step explanation:
The sum of the enterior angles of any triangle is equal to:
Answer:
is equal to 180°
I hope it's helps you
What is the approximate volume of the cylinder?Use 3.14 for Pie
A)904.32cm_3
B)226.08cm_3
C)301.44cm_3
D)150.72cm_3
Answer:
The volume of cylinder: r squared times pi times height= 1.2 times 1.2 times pi times 20 = 1.44 times pi times 20 which is around 90.48 meters squared. Volume of water: r squared times pi times height = 1.2 times 1.2 times pi times 1 = 1.44 times pi which is around 4.52 meters squared.
The volume of the cylinder is 904.32 cubic cm if the radius is 6 cm and height of the cylinder is 8 cm option (A) is correct.
What is a cylinder?In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We know the volume of the cylinder is given by:
[tex]\rm V = \pi r^2 h[/tex]
Here r = 6 cm
h = 8 cm
π = 3.14
The volume of the cylinder:
[tex]\rm V = 3.14 \times(6)^2 \times 8[/tex]
V = 904.32 cubic cm
Thus, the volume of the cylinder is 904.32 cubic cm if the radius is 6 cm and height of the cylinder is 8 cm option (A) is correct.
Learn more about the cylinder here:
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14k²+49k+21 factorise
Answer:
(2k+1)(k+3)
Step-by-step explanation:
14k²+49k+21
simplify by dividing the whole equation by 7
2k²+7k+3
factorise
(2k+1)(k+3)
The formula for the velocity of an object is v=d/t, where v is the velocity of an object, dis the distance traveled, and t is the time elapsed, while the distance is traveled. If you had only this formula to work with, what should your first step be in determining how long it takes for light to reach Earth from the Sun? What additional information do you need to calculate this?
Answer:
To know the distance between the sun and the earth you need isolate d of the equation:
[tex]v = \frac{d}{t} \\ d = vt[/tex]
and the additional information needed is the velocity of light and the time elapsed to be in the earth
what is the equation for the line of reflection
a. x= 3
b. y = 3
c. y = x
d. x = 6
Answer:
The answer to that question is c. y = x
If BD bisects ∠ABC, find each value
Answer:
x=14
y=10
AD=19
CD=19
Step-by-step explanation:
x:
5x-6=64
+6 +6
5x=70
x=14
y:
3y-11=y+9
+11 +11
3y=y+20
-y -y
2y=20
y=10
AD:
3y-11
3(10)-11
30-11
19
CD:
y+9
(10)+9
19
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 75 miles per hour. The westbound train travels at 85 miles per hour. How long will it take for the two trains to be 384 miles apart?
Do not do any rounding.
Let the time = x
Distance = Speed x time
One train is 75x, the other train 85x
Add together to equal total distance:
75x + 85x = 384
Simplify:
160x = 384
Divide both sides by 160:
x = 384 / 160
x = 2.4 hours
help me please!!!!!!
==========================================================
Explanation:
Recall that sine is the ratio of opposite over hypotenuse.
For angle C, the opposite side is AB = 24 as this leg is furthest as possible from angle C. The hypotenuse is always opposite the 90 degree angle.
So,
sin(angle) = opposite/hypotenuse
sin(C) = AB/AC
sin(C) = 24/40
sin(C) = (8*3)/(8*5)
sin(C) = 3/5
If you want to find the measure of angle C, then you apply the arcsine rule to both sides. Inverse sine is the same as arcsine.
Answer:
Step-by-step explanation:
Solution
Here,
H=40
P=32
B=24
Now,
sinC=p/h
=32/40
=4/5
Where, 4 is perpendicular and 5 is hypotenuse.
Hope it helped you.
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PLEASE ANSWER ASAP FOR BRAINLEST WITH WORK!!!!!!!!!!!!!!!
Answer:
The answer is 43 because 600/14 = 42.8571429 rounded to the nearest whole number is 43.
Step-by-step explanation:
Will give brainlist
The radius of a circle is 40 miles. What is the angle measure of an arc 9pi miles long?
Answer:
40.5°
Step-by-step explanation:
So this problem is a ratio setup. First, you have to calculate the total circumference of the circle using the following formula:
c = 2πr
Where c is the circumference, and r is the radius of the circle. Therefore:
c = 2π(40)
Simplify:
c = 80π
Now if the arc is 9π miles long, then it's a fraction of the whole circle, which is 360° . We can set this up as follows:
[tex]\frac{9\pi }{80\pi }[/tex] = [tex]\frac{x}{360}[/tex]
Now if we cross-multiply to solve for x:
(9)(π)(360) = (80)(π)(x)
When simplified dividing by 10π :
9*36 = 8x
Simplfy.
324 = 8x
Solve for x.
x = 40.5
Solve It! Suppose that you want to create two identical wings for a model airplane. You draw one wing on a large sheet of tracing paper, fold it along the dashed line, and then tract the first wing. How do you know that the two wings are identical?
Answer:
you copied the other line
Step-by-step explanation:
you drew over the other line and it should be exact
Answer:
Hope this helps ! (OwO)/
Step-by-step explanation:
A line is formed when the paper is flod. Because of this, this helps the paper give an even form so there won't be any troubles. And if, the paper is uneven then the paper plane will be clusmy and fly in a corner. Brainlist? ʕ·ᴥ·ʔ
he points in the table lie on a line. What is the slope?
Solve for x: -3x + 3 < 6 (2 points)
a
x>-1
..
x <-3
Od
x>-3
Answer:
System of Linear equations. To find the quadratic functions f(x) = ax^2 + bx + c whose graphs contain the points (1,0) and (3,0) we can evaluate f at 1
Step-by-step explanation:
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-3x+3<6 Equation/Question
Step 2
-3x+3<6 Simplify
-3x<3
Step 3
-3x<3 Divide
Answer
x>-1
Hope this helps
write the equation of a line that is parallel to x=-5 and that passes through the point (1,4)
Answer:The x-axis is a horizontal line with the equation y = 0. The line parallel to the x-axis through the given point is y = 4, which is another horizontal line which has a slope of 0, which is true of any horizontal line.
Graph
y + 4 = 2/5 (x − 3)
Answer:
Y= 2/5x - 23
Step-by-step explanation:
Firstly:
Move the 1/5 to the other side of the equation
So
5(y+4) =2(x-3)
Secondly:
Expand the brackets
5y +20 = 2x-3
Thirdly:
Solve
5y= 2x - 3-20
5y=2x-23. (Divide by five both sides)
Y= 2/5 x - 23 (Straight line graph)
To plot the graph:
First create a table of values
For x coordinates and y coordinates
Put the points in the graph and match
Find the approximate area of the shaded region below, consisting of a right triangle with a circle cut out of it.
Use 3.14 as an approximation for π .
Answer:
1,254 sqaure ft
Step-by-step explanation:
Use the radius of the circle, 202=10, to find the area of the circle: A=πr2=π(10)2=π⋅100≈3.14⋅100=314square meters. The area of the triangle is: A=12b⋅h=12⋅56⋅56=12⋅3,136=1,568 The area of the shaded region equals the area of the triangle minus the area of the circle. This is approximately 1,568-314=1,254 square meters.
The area of the shaded region is 1,254 square ft, consisting of a right triangle with a circle cut out of it.
What is the area of the circle?The area of the circle is equal to the product of the square of the radius of the circle and pi.
A = πr²
where 'r' is the radius of the circle
Use the radius of the circle, 20/2 =10, to find the area of the circle:
A = πr²= π(10)² = π⋅100 ≈ 3.14⋅100 = 314 square meters.
The area of the triangle is:
A=12b⋅h = 12⋅56⋅56 = 12⋅3,136 = 1,568
The area of the shaded region equals the area of the triangle and subtracts the area of the circle.
This is approximately 1,568 - 314 = 1,254 square meters.
Hence, the correct answer would be an option (B).
Learn more about the area of the circle here:
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Sanjay can travel 342 mi in 6 hours at this rate how far can he travel in 5 hours
Answer:
285 Miles in 5 Hours
Step-by-step explanation:
342/ 6 = 57
57 x 5 = 285
If x =26 and y=2 what is my constant of proportionality?Reduce answer
Answer:
1/13
Step-by-step explanation:
y is proportional to x ⇒ y = kx
Plug in (26,2) and solve for k:
2 = k·26
k = 2/26 = 1/13
*8th grade math*
1.6(1 + 0.5n) - 3, 2 = 1.1(n - 6.8)
please answer with work
Answer:
67
Step-by-step explanation:
__
Answer: 5.4945...
Step-by-step explanation:
1.6 (1 + 0.5n) − 3 , 2 = 1.1 (n − 6.8)
Rewrite the equation as 1.1 (n − 6.8) = 2.
1.1 (n − 6.8) = 2
Divide each term by 1.1 and simplify.
Divide each term in 1.1 (n − 6.8) = 2 by 1.1.
1.1 (n − 6.8)/1.1 = 2/1.1
Cancel the common factor of 1.1.
n − 6.8 = 2/1.1
Divide 2 by 1.1.
n − 6.8 = 1.81...
Move all terms not containing n to the right side of the equation.
Add 6.8 to both sides of the equation.
n = 1.81... + 6.8
Add 1.81... and 6.8.
n = 8.618...
Replace the variable n with 8.618... in the expression.
1.6 (1 + 0.5 (8.618...)) − 3
Simplify each term.
Multiply 0.5 by 8.618...
1.6 (1 + 4.309...) − 3
Add 1 and 4.309...
1.6 ⋅ 5.309... − 3
Multiply 1.6 by 5.309...
8.4945... − 3
Subtract 3 from 8.4945...
5.4945...
Change the word statement to an equation.
Use x as the variable.
The sum of two-thirds a number and 19 is 93.
Answer:
x 2 +19=93
3
hope it helps..
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