Given :
Length of ramp( Hypotenuse ), l = 10 ft .
Length of base, b = 5 ft .
To Find :
How high were the porch steps.
Solution :
Let, height is h.
By Pythagoras theorem :
[tex]b^2+h^2=l^2\\\\h=\sqrt{l^2-b^2}\\\\h=\sqrt{10^2-5^2}\\\\h = \sqrt{75}\\\\h = 5\sqrt{3}\ ft[/tex]
Hence, this is the required solution.
What is an equation in slope-intercept form for the line that passes through the points (1,-3) and (3,1)
Step-by-step explanation:
Hey there!
Note: Use double point formula for finding the eqaution which passes through two points.
Given;
The points are; (1,-3) and (3,1).
Use double point formula.
[tex](y - y1) = \frac{y2 - y1}{x2 - x2} (y - y1)[/tex]
Put all values.
[tex](y + 3) = \frac{1 + 3}{3 - 1} (x - 1)[/tex]
Simplify it.
[tex](y + 3) = \frac{4}{2} (x - 1)[/tex]
[tex]y + 3 = 2(x - 1)[/tex]
[tex]y + 3 = 2x - 2[/tex]
[tex]y = 2x - 2 - 3[/tex]
[tex]y = 2x - 5[/tex]
Therefore, the eqaution is y = 2x-5.
Alternative:
Steps:
Find slope using slope formula and use one point formula.Simplify in the form of y = mx+c form.Formula:
Slope = (y2-y1)/(x2-x1)One point formula= (y-y1)= m(x-x1)The points are; (1,-3) and (3,1).
Now;
Slope= (1- (-3))/(3-1)
= (1+3)/2
= 2
Again;
Using one-point formula.
(y+3) = 2(x-1)
y+3= 2x-2
y = 2x -5
Therefore, the equation is y = 2x-5.
(You can follow up any method you want)
Hope it helps....
can someone graph this
Answer:
im pretty sure this is correct
Step-by-step explanation:
solve for h V=2πr^2h
Answer: h= V/2πr^2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Study the equations:
f(x) = 6x + 7
g(x) = 4x – 2
What is h(x) = f(x)g(x)?
h(x) = 24x2 – 14
h(x) = 24x2 + 40x + 14
h(x) = 24x2 + 16x – 14
h(x) = 24x2 + 12x – 14
Answer:
h(x)=24X^2+40x+14
pls help what's 9 divided by 7432
7432/9 = 825,7777777777778 = 825,8
Answer:
825.7 (the 7 is repeating)
Step-by-step explanation:
1. Divide
2. Multiply
3. Subtract
4. Bring down
Use these four steps to divide!
find the value of x pls
Answer:
answer is 45 add all angle=360 it make 360/8
Answer:
x = 45
Step-by-step explanation:
The 2 interior angles of the triangle adjacent to both 3x's is
180 - 3x
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
2x is an exterior angle of the triangle, thus
180 - 3x + 180 - 3x = 2x , that is
360 - 6x = 2x ( add 6x to both sides )
360 = 8x ( divide both sides by 8 )
45 = x
Explain how you can use equivalent fractions to find the quotient of 2 3 ÷ 4. Sample Response: Find a fraction that is equivalent to 2 3 , and has a multiple of 4 as the numerator. Multiply the numerator and denominator by 2 to get 4 6 ÷ 4, since 2 3 = 4 6 . The quotient is 1 6 . Which did you include in your explanation? Check all that apply. Find a fraction that is equivalent to Two-thirds, and has a multiple of 4 as the numerator. Multiply the numerator and denominator by 2. Two-thirds = StartFraction 4 Over 6 EndFraction Divide StartFraction 4 Over 6 EndFraction by 4. The quotient is
Answer:
Find a fraction that is equivalent to 2
3
, and has a multiple of 4 as the numerator. Multiply the numerator and denominator by 2 to get 4
6
÷ 4, since 2
3
= 4
6
. The quotient is 1
6
.
Step-by-step explanation:
i had the questiojn
Find the ordered pairs for the x- and y-intercepts of the equation 5x − 6y = 30 and select the appropriate option below. (5 points)
Please Quick Will give Brainliest
What is the equation of the line that passes through (-3, -1) and has a slope of ? Put your answer in slope-intercept form.
y = x +
y = x -
y = -x -
Answer:
y=3/5x -4/5
Step-by-step explanation:
3/5 is the slope so you do 3/5x
-4/5 is negative because the line passes two negative coordinates
Hope this helps!
I earned $92 for cutting yards. I gave my brother 20% of my money for helping me. How much money did I give my brother?
Determine the type of variation depicted in the given function y/3=x
Answer:
its 4
Step-by-step explanation:
select the ratios whos simplest form is 8/7
which is the estimate of each product 11/12 x 4/5
Answer:
[tex]\frac{11}{15}[/tex]
Step-by-step explanation:
[tex]\frac{11}{12} *\frac{4}{5}[/tex]
You can simplify to make life easier
[tex]\frac{11}{3}*\frac{1}{5}=\frac{11}{15}[/tex]
Jared just completed a race and is standing 15 feet across the finish line. Michael is still running the race and he has 30 feet to go
Student A says that Jared and Michael are 45 feet away from each other student B says they are 15 feet away from each other
Who is correct
Explain your reasoning and write a numerical expression to justify your answer
Answer:
Student A is correct.
Step-by-step explanation:
A is correct as Michael is 30ft behind the finish line and Jared is 15 feet past it. [tex]30 + 15 = 45[/tex]
Answer:
student a
Step-by-step explanation:
jared is 15 feet after the line Michael is 30 feet before the line 15 + 30
HELP ASAP NO ROCKY PLEASE
m<1 is 50
m<2 is 130
m<3 is 50
m<4 is 130
m<5 is 40
m<6 is 140
m<7 is 90
m<8 is 140
WELCOME TO AUSTIN TEXAS ASAP LMFMSMSNS BYE
In a survey of 1,800 people who owned a certain type of car, 990 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
55%
Step-by-step explanation:
k(x) =-4x + 4: Find k(-3x)
Answer:
12x+4 this is how the equation would look like: (-4*3x)+4
Step-by-step explanation:
Have a great day plz mark as brainliest :'D
First person to say............what 88 x 5 equals gets Brainlyiest!
answer: 420
Answer:440
Step-by-step explanation:
9. PART A: Which of the following best summarizes
what Stanton wants her listeners to do?
O A Stanton wants the audience to protest the
federal government until women have the right
to vote.
O B Stanton wants the audience to take something
away from this speech and the Convention: a
sense of injustice.
OC Stanton encourages the audience to go out and
discuss what they heard that day at the
Convention with everyone they meet, in the
hopes they will change at least a few minds.
O D Stanton encourages the audience to spread
word of their cause, petition state and federal
governments, appeal to the church and press for
support, and continue with more conventions.
Answer:
D Stanton encourages the audience to spread the word for their cause
Step-by-step explanation:
I just know I have done the test and it makes the most sense. :)
The summary the can be deduced from the speech is that D. Stanton encourages the audience to spread word of their cause, petition state and federal governments.
What is a summary?It should be noted that a summary means a brief statement or account of an event.
Stanton was popular for the role that she played in women's suffrage. She advocated for change regarding how women were treated.
During the convention, she encouraged the audience to spread word of their cause, petition state and federal governments, appeal to the church and press for support, and continue with more conventions.
She also implored her husband, John to help form the new America.
Learn more about Stanton on:
https://brainly.com/question/24781064
The graph shows the savings in Andre’s bank account.
Answer:
As the number of week increases, the Andre's savings also increases
Step-by-step explanation:
Given
The attached graph
Required
Explain what the slope represents (Missing part of the question:)
First, we'll check the slope of the graph.
Represent time in weeks with x and savings in dollar with y
So, we have the following details:
[tex](x_1,y_1) = (0,40)[/tex]
[tex](x_2,y_2) = (8,80)[/tex]
Slope (m) is then calculated as thus:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{80 - 40}{8 - 0}[/tex]
[tex]m = \frac{40}{8}[/tex]
[tex]m = 5[/tex]
The calculated slope is positive and this implies that: As the number of week increases, the Andre's savings also increases
What is 10.3% of 100?
Answer:
it is 10.3
Step-by-step explanation:
Which equation represents this problem? HELP ASAP! :(
Carol's age is three more than two times Lindsay's age. Carol is 39 years old. How old is Lindsay?
Let l = Lindsay's age in years.
A) 2l–3=39
B)2l + 3 = 39
C)3l + 2 = 39
D)3l–2=39
Answer:
B, 2I + 3 = 39
Step-by-step explanation:
work backwards first, so 39 minus 3 is 36, divided by two is 13.
Two lengths of a triangle are 14 and 17. What is the largest
possible whole number perimeter?
If two lengths of a triangle are 14 and 17. Then the largest possible whole number perimeter is 62.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Two lengths of a triangle are 14 and 17.
Side one is fourteen and side two is seventeen.
First we need to find the largest third side
The third side should always be less than the sum of other two sides lengths.
14+17
31
The third side must be less than 31, the largest possible third side is 30
Now let us find the perimeter of triangle.
Perimeter=14+17+31
=62
Hence the largest possible whole number perimeter is 62.
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ2
Which expression shows that this problem is correct? PLEASE HELP ME
A.
B.
C.
D.
Answer:
Honey there's nothing there
Step-by-step explanation:
Answer:
its a.b.c.d there is no answer please put a answer
Step-by-step explanation:
in scientific notation , 8,599,000,000=8.599.*10^z what is the value of z
Answer:
6
Step-by-step explanation:
The value of z is the number of zeros in the number, which is 6. Hope this helped!
plz plz plz help me
Answer:
use a calculator its that easy
Step-by-step explanation:
Answer:
Line Ef = 24
Step-by-step explanation:
Find the slope of the line through the pair of points.
(1,15) and (-3,-6)
Answer:
21/4
Step-by-step explanation:
-6-15/ -3-1= -21/-4=21/4
PLS HELP ME :( i don’t understand this and i can’t afford to get anything wrong right now!!
Answer: Point A represents Q1, Point B represents the Median, Point C represents Q3
Step-by-step explanation:
4. When solving an equation, Henry gets to
the last line of his work and is left with "2 = 3".
What does this mean?
A. The solution is 3.
B. There is only one solution.
C. There is no solution.
D. There are infinite solutions.
1pt
Tyrell is bringing food to a community picnic. He expects 105 people to attend the picnic. He brings 4 cups of potato salad for every 7 people and 5 hot dogs for every 3 people. Select True or False for each statement. True False Tyrell brings 35 hot dogs. O True False Tyrell brings 60 cups of potato salad. The ratio of hot dogs to cups of potato salad that Tyrell brings to the picnic can be written 5:4. the ratio of cups of potato salad too hot dogs at Tyrell brings to the picnic can be written as 12:35
Answer:
1. false
2.true
3.false
4. true
Step-by-step explanation:
