A 12.5-foot ladder is leaning against the side of a house. If the ladder is resting 12 feet off the ground, how far is the ladder from the house?
A. 2 feet
B. 3.5 feet
C. 6.25 feet
D. 7 feet
Answer:
B. 3.5 feet
Step-by-step explanation:
The part leaning against the wall is the hypotenuse while the height of the ladder off the ground is the opposite and the distance of the ladder from the house is the adjacent side.
Given the following data;
Hypotenuse = 12.5 ft
Opposite = 12 ft
To find the adjacent side, we would use the Pythagorean theorem;
Hypotenuse² = opposite² + adjacent²
Substituting into the formula, we have;
12.5² = 12² + adjacent²
156.25 = 144 + adjacent²
Adjacent² = 156.25 - 144
Adjacent² = 12.25
Taking the square root of both sides, we have;
Adjacent = 3.5 feet.
Therefore, the distance of the ladder from the house is 3.5 feet.
Help I’ll give Brainly est
Answer:
2x is less than 8 or B
Step-by-step explanation:
When looking at the number line you got to look to see if the circle is closed or not. In this case it is a closed circle meaning to include the number. Then look at what direction it is going toward. Is it increasing? Is it decreasing? In this case it is decreasing. Meaning that 2x is less than 8
NOT A - Reason why it is not a is because 8 is not included in the range of numbers
NOT C
use the area of the rectangle to find the area of the triangle 2 ft 9 ft
Answer:
[tex]\Huge\boxed{B}[/tex]
Step-by-step explanation:
Hello There!
The area of a rectangle is equal to length times width
2*9=18 so the area of the rectangle is 18 square feet
If a triangle is formed in a rectangle then that triangle is 1 half of the area of the rectangle
18/2=9 so the area of the triangle is 9 square feet
Please help fast
The graph below shows a company's profit f(x), in dollars, depending on the price of goods x, in dollars, being sold by the
company:
Part A: What do the x-intercepts and maximum value of the graph represent?
prefent? ?
Part B: What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and
profit?
Part C: What is an approximate average rate of change of the graph from x = 1 to x = 3, and what does this rate represent?
PLEASE SOMEONEE HELP NOW
Answer:
a) n = 14
b) m∠A = 56°
Step-by-step explanation:
add all terms together and set equal to 360
Subtract 9 from e. Then, divide by 2.
Which of the following expressions matches the statement above?
A.
9 - e ÷ 2
B.
e - 9 ÷ 2
C.
(e - 9) ÷ 2
D.
(9 - e) ÷ 2
Answer:
c
Step-by-step explanation:
bc
Account A: $300 monthly deposits, interest rate is 4.2%. Account B: $250 monthly deposits, interest rate is 5.1%. Which account will have a greater value at the end of 15 years?
a. Account A will be greater than Account B.
b. Account B will be greater because the interest rate is higher.
c. They will be worth about the same.
d. Not enough information.
Answer:
A
Step-by-step explanation:
We have to determine the future value of the annuity to determine which account has a greater value
Future value = Amount x annuity factor
annuity factor = Annuity factor = {[(1+r)^n] - 1} / r
Account A = 300 x[ (1.042)^15 - 1 ] / 0.042 = $6097.14
Account B = 250 x[ (1.051)^15 - 1 ] / 0.051 = $5435,42
Account A will be greater
PLEASE HELP IM GONNA FAIL WILL GIVE BRAINLESS
Answerloser
Step-by-step explanation:
Which quadratic inequality does the graph below represent?
y>x^2-3
y
y
y>x^2+3
Answer:
Third one
Step-by-step explanation:
the y intercept is -3 meaning it equals, leaving 1 or 3
and it’s the smallest y number so it has to be 3
Sorry for who ever uploaded the disturbing photos :(
Hope this help and have a nice day!
I’ll continue to report the, as I have all day and will contact Brainly again since this is another account
Here’s a cute dog image to remove the other photo from mind
Answer:
c
Step-by-step explanation:
edge 2020
suppose that 12 dimes and nickels are worth 95 cents. how many dimes and nickels are there? use systems of equations to solve.
Answer:
7 dimes and 5 nickles
Step-by-step explanation:
7 times 10 equals 70 5 times 5 equals 25. 70 plus 25 equals 95
At a store each notebook has a cost of x dollars. Which situation can be represented
by this inequality?
5x < 3x + 2
Answer:
Step-by-step explanation:
Bro I lowkey need the answer to this. I’m doing a final exam atm.
Answer:
x<1
Step-by-step explanation:
:)
1
Given f (x) = 3x and g(x) =
x + 3
Which value is in the domain of fo
fºg?
Click on the correct answer.
-7
3
Answer:
x = 8
Step-by-step explanation:
f(x) = [tex]\sqrt{3x}[/tex]
g(x) = [tex]\frac{1}{x+3}[/tex]
(f o g)(x) = f[g(x)]
= [tex]\sqrt{\frac{3}{x+3} }[/tex]
This function is defined for (x + 3) > 0
(x + 3) - 3 > 0 - 3
x > -3
From the given options x = 8 is the only solution which is greater than -3.
Therefore, x - 8 is in the domain of the given function.
Which number line best represents the solution to the inequality 3.3w - 9 > -22.2?
picture ↓
Answer:
solve the inequality in the form of w
this is due tonight pls
Answer:
I think it's A.3
Step-by-step explanation:
if you didvide the 7.8 by 2.6 then you will get 3, therfore you will have to multiply the original (2.6) times 3 in order to get the scaled image (7.8).
I think 2.8
Step-by-step explanation:
thats what i have today
Solve for x please. :)
Answer:
x=105
Step-by-step explanation:
75+75+x+x=360
150+2x=360
2x=210
x=105
I hope this is correct and helps you!
Answer:
x = 105°
Step-by-step explanation:
Because x° and 75° are supplementary angles (sum equals 180°), we cand do 180° - 75° to find x.
180° - 75° = x
x = 105°
solve with substitution 3x + y =19 -6x - 5 = y
Answer:
x=-8
Step-by-step explanation:
3x + y =19
-6x - 5 = y
3x + y =19
-6x -y=5
-3x=24
x=-8
y= -6x -5
y=48-5=43
can i have brainliest please
Given that 5^-n = 0.5
Find the value of (5^n)³
Answer:
Step-by-step explanation:
3 = (-1) * (-3)
So, Now we can write
[tex](5^{n})^{3}= (5^{n})^{-1 * -3}\\\\= (5^{n*-1})^{-3}\\\\=(5^{-n})^{-3}\\\\= (0.5)^{-3}\\\\= \frac{1}{0.5^{3}}\\\\=\frac{1}{0.125}[/tex]
Can someone find the answer key for this
Mr.Lopez has 24 more books than Mrs.Hill if the ratio of their books is 7:4 how many books does Mrs. Hall have?
Answer:
Number of books with Mrs. Hall = 32
Step-by-step explanation:
Suppose that Mrs. Hill has [tex]x[/tex] books.
Also, Mr. Lopez has 24 more books than Mrs. Hill.
So,
Number of books with Mr. Lopez = [tex]x+24[/tex]
Ratio of their books = [tex]7:4[/tex]
Therefore,
[tex]\frac{x+24}{x}=\frac{7}{4}\\\\4(x+24)=7x\\\\4x+96=7x\\\\96=3x\\x=\frac{96}{3}\\\\x=32[/tex]
Number of books with Mrs. Hall = 32
Please please help please please ASAP please I'm begging you please I have 10 minutes please y'all help please any ACE that can help please
Answer:
3
Step-by-step explanation:
The two quads are of similar, and we know that they are of ratio 1:2, thus
3y+5/7 = 2
y = 3
Answer:
y = 3
Step-by-step explanation:
The figures are similar so the ratios of corresponding sides are equal, that is
[tex]\frac{UR}{DA}[/tex] = [tex]\frac{TS}{CB}[/tex] , substitute values
[tex]\frac{4}{2}[/tex] = [tex]\frac{3y+5}{7}[/tex] ( cross- multiply )
2(3y + 5) = 28 ( divide both sides by 2 )
3y + 5 = 14 ( subtract 5 from both sides )
3y = 9 ( divide both sides by 3 )
y = 3
State whether the line through points has a slope of zero or undefined. Also state whether it is horizontal or verticalline
Missing part of question
(a) (-3, 4) and (5, 4)
(b) (4, 5) and (4, -3).
Answer:
(a) (-3, 4) and (5, 4)
Zero slope
Horizontal line
(b) (4, 5) and (4, -3).
Undefined slope
Vertical line
Step-by-step explanation:
Solving (a): (-3, 4) and (5, 4)
Slope (m) is calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
This gives
[tex]m = \frac{4-4}{5 - -3}[/tex]
[tex]m = \frac{0}{8}[/tex]
[tex]m = 0[/tex]
This line has a slope of zero.
When slope equals 0, then the line is horizontal
Solving (b): (4, 5) and (4, -3)
Slope (m) is calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
This gives
[tex]m = \frac{5--3}{4-4}[/tex]
[tex]m = \frac{8}{0}[/tex]
m = undefined
This line has an undefined slope.
When the slope of a line is undefined, then the line is vertical
The segment shown below could form a triangle
No this will not form a triangle.option B is correct.
An annual zoo pass costs $43.25 per person. If the zoo earned $3762.75 by selling passes, write an
equation to find the total number of people (p) who bought a pass.
WORTH 100 POINTS NEED DONE ASAP WRONG ANSWERS WILL BE REPORTED THANK YOUUU
Answer:
3.
1.x=√(15²-12²)=√81=9
2.x=√(6²+6²)=6√2
3.c=√(√19²-√7²)=√(19-7)=√12
Step-by-step explanation:
4.h=10
a=b=x
we have
by using Pythagoras law
h²=x²+x²
100=2x²
x²=50
x=√50=5√2
both legs =5√2
p(x)+p(x+3)=10x-7 find p(3)
Answer:
Simplify each term.
Px+px+3p=10x−7
Move all terms not containing P to the right side of the equation.
Px=10x−7−px−3p
Divide each term by x and simplify.
P=10−7/x−p−3p/x
Step-by-step explanation:
1. Side lengths of 15, 36 and ______ would form a right triangle. *
1 point
40
39
38
51
Step-by-step explanation:
the lebgth to form the right angle is e9
HELP ME PLEASE (no links)
Answer:
y = 1.5x
Step-by-step explanation:
We are to find the equation of the straight line
Using the coordinate (0, 0) and (200, 300)
Slope m = 300-0/200-0
m = 300/200
m = 1.5
Since the line pass through the origin, the y intercept is 0
Substitute m = 1.5 and b =0 into y = mx+b
y = 1.5x + 0
y = 1.5x
This gives the required equation
What is the measure of arc PQ
Answer:
x = 15
arc PQ = 110°
ΔPQR is an acute triangle
Step-by-step explanation:
(6x) + (8x-10) + (10x+10) = 360°
combine like terms:
24x = 360°
x = 15
arc PQ = 8(15) - 10° = 110°
Answer:
x=15
measure of arc PQ is 110 degrees
Step-by-step explanation:
Hello There!
Remember the circumference of a circle is 360 degrees
So to find x we use the equation
360=8x-10+6x+10x+10
now we solve for x
combine like terms
-10+10 cancels out
8x+6x+10x=24x
now we have
24x=360
divide each side by 24
24x/24=x
360/24=15
we´re left with x = 15
Now lets find the measure of arc PQ
to do so we plug in 15 into x for 8(15)-10
8*15=120
120-10=110
so the measure of arc PQ is 110
To visit his grandmother, Michael takes a motorcycle 3.853.853, point, 85 kilometers and a horse 3.323.323, point, 32 kilometers. In total, the journey takes 50.5450.5450, point, 54 minutes. How many kilometers is Michael's journey in total?
Answer:
7.17 km
Step-by-step explanation:
Given that:
Distance in kilometers traveled by motorcycle = 3.85 km
Distance in kilometers traveled by horse = 3.32 km
Total distance of journey in kilometers /
3.85 km + 3.32 km
= 7.17 kilometers
SURFACE AREA!!! PLEASE HELP
Answer:
350
Step-by-step explanation:
2(lw + wh + lh)
(7*7) = 49
(7*9) = 63
(9*7) = 63
so now its
2(49 + 63 + 63)
= 2(175)
= 350
have agreat day and easter :)