If a roof is 24 feet high and if you leaned a 26 foot ladder against the side of a building how far away from the building is the base of a ladder to reach the roof
Answer: 35.4 feet.
Step-by-step explanation:
Given data:
Height of the roof = 24 feet
Height of the ladder = 26 foot
Solution:
c^2 = a^2 + b^2
a = 24
b = 26
c^2 = 24^2 + 26^2
c = √576 + 676
c = √1252
c = 35.4 feet
The foot of the ladder is 35.4 foot away from the top of the ladder.
Answer:
The distance between the base of the ladder and the building is 10 ft
Step-by-step explanation:
Here, we want to calculate the distance between the foot of the ladder and the building
To get this, we need to have a pictorial representation. Please check the attachment for this
From the pictorial representation, we can see a right angled triangle with a hypotenuse of 26 feet and the other side being 24 feet. We now need to get the third side of this triangle which represents the distance we want.
Mathematically, we can calculate the distance using Pythagoras’ theorem which states that the square of the length of the hypotenuse is equal the sum of the squares of the two other sides of the triangle.
Let the distance we are looking for be D
26^2 = 24^2 + D^2
D^2 = 26^2 - 24^2
D^2 = 100
D^2 = 10^2
D = 10 feet
How do you write 86.2 in scientific notation?
x 10
Submit
What is 5.790 divided by 2.3
Answer:
Step-by-step explanation:
5.790/2.3=2.5173913
Answer:
2.51739130435
Step-by-step explanation:
solve for x
(-4/5)x + 2 =-26
Answer:
(-4/5)x= -26-2
(-4/5)x= -28
x= -28/1÷ -4/5
x= -28/1 ×5/-4
x= -7/5 or -1.7
Using the given information, match the transformed equation from a parent function of [tex]y=x^2[/tex] or [tex]y=x^3[/tex]
Question and choices below:
Step-by-step explanation:
The general form for a quadratic or cubic equation is:
y = a (x − h)ⁿ + k
If |a| is between 0 and 1, it's a vertical shrink. If |a| is greater than 1, it's a vertical stretch. If a is negative, there's a reflection over the x-axis.
h is the horizontal translation. If h is positive, there's a translation to the right. If h is negative, there's a translation to the left. (Notice the expression in the parentheses is x − h, not x + h, so if it helps, rewrite the equation.)
k is the vertical translation. If k is positive, there's a translation up. If k is negative, there's a translation down.
f(x) = (x + 1)³ − 7
f(x) = 1 (x − -1)³ + -7
a = 1, h = -1, k = -7
This is y = x³ translated 1 unit to the left and 7 units down.
g(x) = -½ (x − 2)³
g(x) = -½ (x − 2)³ + 0
a = -½, h = 2, k = 0
This is y = x³ reflected over the x-axis, vertical shrink of ½, and translated 2 units to the right.
y = -(x − 4)³ − 2
y = -1 (x − 4)³ + -2
a = -1, h = 4, k = -2
This is y³ reflected over the x-axis, translated 4 units right and 2 units down.
Eddie deposits $1090 in an account that earns 6% interest compounded annually for 3 years. What is the total interest earned after 3 years? Round to the nearest cent.
A: 196.20
B: 208.20
C: 1286.20
D: 1298.20
Answer:
Step-by-step explanation:
Eddie deposits $1090 in an account that earns 6% interest compounded annually for 3 years. What is the total interest earned after 3 years? Round to the nearest cent.
A: 196.20
B: 208.20
C: 1286.20
D: 1298.20
Raul is solving -6x = 72. Find his mistake and correct it.
Answer:
x=12
Step-by-step explanation:
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the given equation.
(5,7) y=2x+5
Answer:
y = 2(x-5) + 7
Step-by-step explanation:
please help me with this
6. Just because a diet is popular does not mean it is safe and effective. True False
HELP FAST!
Not really math its PE
Answer:
true
Step-by-step explanation:
the answer is true hope this helps
when playing the bottle toss game, people have a 12% chance of winning. someone played 25 times. about how many times will he win?
Laron is thinking about majoring in business in college because with a bachelor's degree the starting salaries are about $45,000 per year. If a master's degree will allow him to start out at about 15 percent higher, how much can he expect his starting pay to be with a master's degree?
Answer:
$6750 per year
Step-by-step explanation:
15% / 100 = 0,15
0,15 x $45,000 = $6750 he will get per year
PLEASE I NEED YOUR HELP! THANK YOUU!
Answer
Maximum point of (-2, 4)
Step-by-step explanation:
the maximum point in this case is the vertex because its the highest point of the graph
ANSWER QUICK FOR BRAINLIEST!!
please i need this asap:))
Answer:4
Step-by-step explanation: please just trust me!
Can someone help me?
Answer:
no
Step-by-step explanation:
Answer:
The concentration in both solutions is the same.
Step-by-step explanation:
Equilibrium> EQUAL
30 points-
Use the table below that shows the amount of gasoline a car
consumes for different distances driven.
Distance (mi)
2
Gasoline (gal) 0.05 0.10 0.15 0.200.25
Write an equation in function notation for the relationship
between distance and gasoline used.
Answer:
4
Step-by-step explanation:
Write the ratios as fractions IN THEIR SIMPLEST form
44 boys to 88 girls
Answer:
2:4
Step-by-step explanation:
Solve: 4x^3+7x^2-5x-6=0
Answer:
(x-1)(x+2)(4x + 3) = 0 ]
Step-by-step explanation:
ASAP
Can someone please helppp
Answer:
Option 4
Step-by-step explanation:
Jed is baking shortbread for a bake sale. The recipe calls for 1 1 4cups of flour and 1 2stick of butter. How many cups of flour will Jed need if he uses 3 sticks of butter?
Answer: [tex]7\dfrac12[/tex] cups of flour is required for 3 sticks of butter.
Step-by-step explanation:
We assume that quantity of flour is proportional to butter.
Given : The recipe calls of [tex]1\dfrac14[/tex] cups of flour and [tex]\dfrac12[/tex] stick of butter.
Let [tex]x_1=1\dfrac14=\dfrac{5}{4}[/tex] [tex]y_1=\dfrac{1}{2}[/tex]
For [tex]y_2=3[/tex] , we will find [tex]x_2[/tex] by using formula of direct proportion: [tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]
[tex]\dfrac{\dfrac{5}{4}}{\dfrac12}=\dfrac{x_3}{3}\\\\\Rightarrow\ \dfrac{5}{2}=\dfrac{x_3}{3}\\\\\Rightarrow\ x_3=\dfrac{5}{2}\times3= \dfrac{15}2=7\dfrac12[/tex]
Hence, [tex]7\dfrac12[/tex] cups of flour is required for 3 sticks of butter.
15/2 cups of flour!
Ratios that are equivalent to 7/3
Answer:
14:6, 21:9, 28:12
Step-by-step explanation:
Please help:)
I’ll give brainlest
Answer:
I think its C. but if its wrong im so sorry bc im not 100% sure but if it isnt C. then try B. idrk the answer but thats what im thiking its either C or D im not 100% sure hope this helped in some kind of way i tried :/..
Step-by-step explanation:
Erla has 28 red and blue marbles. The ratio of red to blue marbles is 1:6.How many blue marbles does Erla have?
someone, please help worth lots of points
The regular price of a swimsuit in the junior department of a store is $54. The store advertises an end-of-season sale at 40% off the regular price of all swimsuits. Two weeks later the store advertises a bonus sale at an additional 1/5 off the end-of-season sale price of all swimsuits. Shannon and Mary decide this is a great time to shop for swimsuits. Shannon figures that the swimsuits are now 60% off the regular price. Mary disagrees, because she figures that the total discount is actually less than 60%.
a. What is the cost of a swimsuit during the end-of-season sale? Justify your reasoning using a model.
b. What is the cost of a swimsuit during the additional 1/5-off bonus sale? How can you show this with a model?
c. Did Shannon or Mary figure the discount correctly? Use a model to explain.
answer for a b and c plzzz
Answer:
the cost of a swimsuit during the end-of-season sale is 21.6 because 40% of 54
b. 21.4
40% of 54 +(-1/5)
c. No because the 60% of 54 is 32.4
Please find the volume of this shape
Answer:
V = 536.8m³
Step-by-step explanation:
A = cross-sectional area
V = prism volume
V = A × length
h = perpendicular height of triangle
h² = 13² - 7²
h² = 169 - 49
h² = 120
h = 10.954...
A = ¹/₂.b.h
A = ¹/₂(14)(10.954...)
A = 76.681...
V = 76.681... × 7
V = 536.768... ⇒ 536.8m³
out of 300marks a student got 207 what is the score in percent
Answer: 69%
Step-by-step explanation: 207/300 times 100 too divided by the bottom times 100
Broo please help me omg
Answer:
9. -2
10. 0
Step-by-step explanation:
It is not undefined because the slope of horizontal lines are 0
Use the GCF and the Distributive Property to find the sum. Write each number as a product using the GCF as a factor, and apply the Distributive Property. nothing 34, 51
Answer:
[tex]34 + 51 = 85[/tex]
Step-by-step explanation:
Given
[tex]34 + 51[/tex]
Required
Use GCF and distributive property to determine the sum
34 can be expressed as:
[tex]34 = 2 * 17[/tex]
51 can be expressed as:
[tex]51 = 3 * 17[/tex]
So, the GCF of both numbers is 17
[tex]34 + 51[/tex] can then be expressed as:
[tex]2 * 17 + 3 * 17[/tex]
Apply Distributive Property, we have:
[tex]17(2 + 3)[/tex]
Solving further:
[tex]17 * 5[/tex]
[tex]85[/tex]
Hence:
[tex]34 + 51 = 85[/tex]
Answer:
Step-by-step explanation: no
Factor by grouping
x^3+2x^2-9x-18
Answer:
(x+2)(x+3)(x-3)
Step-by-step explanation:
Group and factor out the greatest common factor (GCF), then combine.
Hope this helps!!
A line contains the points (10,7) and (5,-8). Write the equation of the line.