Answer:
The ladder touches the wall at 24 feet from the ground.
Step-by-step explanation:
The wall of the building, the ground, and the ladder form a right triangle, whose longer side is the length of the ladder.
In any right triangle, we can apply Pythagora's theorem to find any missing side length.
The ladder is 26 feet in length, the distance from the bottom of the ladder and the building is 10 feet. Calling H to the distance above the ground where the ladder touches the wall, then:
[tex]26^2=10^2+H^2[/tex]
Calculating:
[tex]676=100+H^2[/tex]
Solving:
[tex]H^2=676-100[/tex]
[tex]H^2=576[/tex]
[tex]H=\sqrt{576}[/tex]
H=24 feet
The ladder touches the wall at 24 feet from the ground.
HELPP ME PLEASEEE
ill give brainiest to whoever answers first
Answer:
the answer is d
Step-by-step explanation:
it would be 9.7 x 10^3
z=1+4i
Find the angle 0(theta) in degrees that z makes in the complex plane.
Round your answer, if necessary, to the nearest tenth. Express 0(theta) between -180 and 180 degrees.
Answer:
76.0 degrees
Step-by-step explanation:
Just got it right on the Khan Academy quiz.
helpp me plzz
A.
B.
C.
D.
Rectangle A measures 8 inches by 2 inches. Rectangle B is a scaled copy of Rectangle A.
Select all of the measurement pairs that could be the dimensions of Rectangle B.
40 inches by 10 inches
10 inches by 2.5 inches
9 inches by 3 inches
7 inches by 1 inch
6.4 inches by 1.6 inches
Answer:
40 inches by 10 inches
&
6.4 inches by 1.6 inches
Step-by-step explanation:
40 inch divided by 5 in is 8 inch
10 inch divided by 5 in is 2 inch
6.4 inch x 1.25 inch is 8 inch
1.6 inch x 1.25 inch is 2 inch
Please help!! Thank you!
Answer:
a= -2
b= 1
c= 4
d=0
Step-by-step explanation:
-5 times -2 is 10.
-5 times 1 is -5.
-5 times 4 is -20.
-5 times 0 is 0.
what is the answer for the picture that is linked below?
Answer:
18%
Step-by-step explanation:
6840:38000*100 =
(6840*100):38000 =
684000:38000 = 18
3. Volunteer drivers are needed to bring 80 students to the championship baseball
game. Drivers either have cars, which can seat 4 students, or vans, which can seat 6
students. The equation 40 + 6v = 80 describes the relationship between the number
of cars, c, and number of vans, v, that can transport exactly 80 students.
Select all statements that are true about the situation.
A. If 12 cars go, then 2 vans are needed.
B. c = 14 and v= 4 are a pair of solutions to the equation.
C. If 6 cars go and 11 vans go, there will be extra space.
D. 10 cars and 8 vans isn't enough to transport all the students.
E. If 20 cars go, no vans are needed.
F. 8 vans and 8 cars are numbers that meet the constraints in this situation.
Answer:
Options (B), (C) and (E) are the correct options.
Step-by-step explanation:
Equation that represents relation between the number of cars c and the number of vans v to transport 80 students is,
4c + 6v = 80
Option A.
If c = 12,
4(12) + 6(v) = 80
48 + 6v = 80
6v = 32
[tex]v=\frac{16}{3}[/tex]
Which is not equal to 2.
Therefore, Option A is incorrect.
Option B
If c = 14,
4(14) + 6(v) = 80
56 + 6v = 80
6v = 24
v = 4
Therefore, c = 14 and v = 4 is a pair of solutions.
Option B is correct.
Option C.
If c = 6 and v = 11
4(6) + 6(11) = 24 + 66
= 90
This means with 6 cars and 11 vans 90 students can be transported. Therefore, there will be extra space.
Option C is correct.
Option D.
If c = 10 and v = 8
4(10) + 6(8) = 40 + 48
= 88
Therefore, 10 cars and 8 vans are enough to transport 80 students.
So option D is incorrect.
Option E.
If c = 20,
4(20) + 6(v) = 80
80 + 6v = 80
v = 0
Therefore, for 20 cars go no vans are needed.
Option E is correct.
Option F.
Constraints in this situation,
Minimum number of cars to be used = 20
c ≥ 20
Minimum number of vans to be used = [tex]\frac{80}{6}[/tex] ≈ 14
v ≥ 14
Therefore, Option (F) is incorrect.
Rewrite the expressions as a product of two factors.
Rewrite expressions as a product of two factors. Translation: Factor out the GCF
a. 72 + 8
b. 55 + 11
c. 36 + 72
d. 144 − 15 (careful!)
e. 3 + 3
a. 8(9+1)
b. 11(5+1)
c. 36(2+1)
d. 3(48-5)
e. 3(1+1)
Answer:
Step-by-step explanation:
8(9t+1)
11(5a+1
36(z+2)
144(15+9)
3 (3+1)
take out the letters but this is work i did in class plz mark brainlest
evaluate (2x^2+y^2)3
Answer:
8[tex]x^{6}[/tex] + 12[tex]x^{4}[/tex]y² + 6x²[tex]y^{4}[/tex] + [tex]y^{6}[/tex]
Step-by-step explanation:
This can be expanded using the binomial theorem or by multiplying the factors.
In case you are not aware of the theorem, will do multiplication.
Given
(2x² + y²)³ = (2x² + y²)(2x²+ y²)(2x² + y²)
Expanding the second pair of factors
Each term in the second factor is multiplied by each term in the first factor, that is
2x²(2x² + y²) + y²(2x² + y²) ← distribute both parenthesis
= 4[tex]x^{4}[/tex] + 2x²y² + 2x²y² + [tex]y^{4}[/tex] ← collect like terms
= 4[tex]x^{4}[/tex] + 4x²y² + [tex]y^{4}[/tex]
Now multiply this by the remaining factor (2x² + y²)
(2x² + y²)(4[tex]x^{4}[/tex] + 4x²y² + [tex]y^{4}[/tex])
= 2x²(4[tex]x^{4}[/tex] + 4x²y² + [tex]y^{4}[/tex]) + y²(4[tex]x^{4}[/tex] + 4x²y² + [tex]y^{4}[/tex]) ← distribute both parenthesis
= 8[tex]x^{6}[/tex]+ 8[tex]x^{4}[/tex]y² + 2x²[tex]y^{4}[/tex] + 4[tex]x^{4}[/tex]y² + 4x²[tex]y^{4}[/tex] + [tex]y^{6}[/tex] ← collect like terms
= 8[tex]x^{6}[/tex] + 12[tex]x^{4}[/tex]y² + 6x²[tex]y^{4}[/tex] + [tex]y^{6}[/tex]
Is (4, 10) a solution of 5x + 10y = 120? Explain how you know. How
could you check using the equation? Using the graph?
Answer: No, it is not.
Step-by-step explanation:
If you solve and graph the equation, the point (4,10) falls below the line, not satisfying the equation.
If the perimeter of the regular pentagon is 75 cm what is the length of each side
Plz help nowww
If you wanna be crowed a brainliest:-)
Answer:
15 (mark me brainliest if you want and lmk if you need more help understanding)
Step-by-step explanation:
perimeter is (l*w)*2
if a pentagon is 5 sided, you do 75/5 which is 15.
each side has 15 cm
∠A is 81 degrees and ∠B is 67 degrees. If side a is 34 units long, approximately how long is side b?
Answer:
46 units i think... not sure tho
Step-by-step explanation:
22. Write the word sentence as an equation. The product of negative 2 and 5 plus a number d = 14.
Answer:
(-2+5)+d=14
Step-by-step explanation:
"Product" means add
what do i put? meh need help
Answer:
2/2 = 1 i think pls check
Step-by-step explanation:
4 divided by 2 = 2
and 6 divided by 3 = 2
so yea 2/2
and 2/2 = 1
In the figure, polygon ABCD is transformed to create polygon A'BCD.
This transformation is a
by a factor of
Answer:
This transformation is a horizontal stretch by a factor of 2 .
Step-by-step explanation:
The transformation is a horizontal stretch by a factor of 2 .
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
According to the given figure, vertices of rectangle ABCD are:
A=(3,0) B=(1,0) C=(1,2) and D=(3,2)
After the transformation of square ABCD we get a rectangle A′B′C′D′.
whose vertices are, A'=(6,0) B'=(2,0), C'=(2,2) and D'=(6,2)
(Here A', B', C' and D' are transformed from points A, B , C and D respectively.
In horizontal stretch by a factor k the point (x,y) in a graph f(x) is transformed to the (kx,y).
And after seeing the coordinates of vertices of square ABCD and rectangle A′B′C′D′
it is clear that there is no change in the y-coordinates in all the vertices of both square ABCD and rectangle A′B′C′D'.
Moreover, the x-coordinates are increasing by multiplying 2. Therefore it is a horizontal stretch by factor 2.
Hence, this transformation is a horizontal stretch by a factor of 2 .
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ7
What is the value of x?
Answer:
150
Step-by-step explanation:
Answer: 70
Step-by-step explanation: because 40 + 70 is 110. There is a sum of 180 degrees in a triangle. And 180- 110= 70.
pls give me brainliest
Sam and Bruno were computing how many kilometers they rode in the 3 bike trips they took last month. In order, they rode 45.7, 40.9, and 38 miles. Their solutions are shown. Sam's Solution Bruno's Solution 45.7 + 40.9 + 38.0 = 124.6 miles. 124.6 times 0.621 = 77.38 kilometers. 45.7 + 40.9 + 38.0 = 124.6 miles. 124.6 divided by 0.621 = 200.64 kilometers. If one kilometer equals 0.621 miles, which is the best solution to find the total number of kilometers they rode? Why is it correct? Bruno is correct. When going from a larger unit to a smaller unit you need to divide. Bruno is correct. When going from a smaller unit to a larger unit you need to divide. Sam is correct. When going from a larger unit to a smaller unit you need to multiply. Sam is correct. When going from a smaller unit to a larger unit you need to multiply.
Answer:
Bruno is correct. When going from a larger unit to a smaller unit you need to divide
Step-by-step explanation:
Sam's calculation:
45.7 + 40.9 + 38.0 = 124.6 miles. 124.6 × 0.621 = 77.38 kilometers.
Bruno's calculation:
45.7 + 40.9 + 38.0 = 124.6 miles. 124.6 divided by 0.621 = 200.64 kilometers.
1 kilometer = 0.621 miles.
Bruno is correct. When going from a larger unit to a smaller unit you need to divide
We will divide a larger value by a smaller value to get the smaller units
Answer:
Bruno is correct. When going from a larger unit to a smaller unit you need to divide
Step-by-step explanation:
A 38-ounce bottle of juice drink contains 6 percent water. Than computed 6 percent of 38. His work is shown below.
6 percent of 38 0.6 times 38 = 22.8
Which statement explains Than’s error?
Than did not multiply 0.6 and 38 correctly.
Than did not use 0.06 for 6 percent.
Than did not move the decimal point three places to the left in the answer.
Than did not use 6 for 6 percent.
Answer:
C
Step-by-step explanation:
Answer:
it b or c
Step-by-step explanation:
A rectangular room is covered in 5 12 square feet of carpet. If the length of the room is 16 feet,
what is the width of the room?
Answer:
long
Step-by-step explanation:
14ft
Please help me answer this and the imagine might be a little Blurry just zoom in the help out. Thank you
Answer:
Step-by-step explanation:
a = 180 degrees (because they are supplementary, as it says in the given, so their two angles add up to 180 degrees
b = 180 degrees (same reasoning as above)
c = Substitution?
d = m<3
e = m<3
I'm confident with everything except for c. If anyone can fill it in for me, pls do
j + 150 × 50 is a(n) ______ expression, because ______.
Sandra is selling cookie dough for a fundraiser. She has a minimum fundraising goal of $150. If Sandra's mom gave her a $45 contribution without buying anything and Sandra can sell a box of cookie dough for $5 each, which inequality below represents the minimum number of cookie dough boxes she can sell
Answer:
At least 21 cookieStep-by-step explanation:
Firstly she needed to raise $150
and each cookie $5
let the number of cookie be x
let the expression for the fund raising be
150=5x
given that the mom gave her $45
then she need
150-45=5x
105=5x
x=105/5
x=21
Therefore she need to sell at least 21 cookie
becuase its kinda a lot of questions ill put a lot of points please help me with this
Answer:
what is the question that you are asking
Step-by-step explanation:
Answer:
#1
Line A is parallel to line B.
Sorry but I don't think there is a perpendicular line. Line C is y = 5/3x + 2/3 which isn't perpendicular they just cross.
#2
Again none of the lines are parallel which is kind of confusing.
Line A is perpendicular to line B.
Step-by-step explanation:
Passes through (4,2) and is vertical
Answer:
the equation for the line would be x= 4
Step-by-step explanation:
vertical lines means that only the x axis will be crossed by the line
this means that if you have a point of a vertical line, you can take the x value in it to determine the equation
19 points Solve for c. 5/4c+12=2
Answer:
C= -8
Step-by-step explanation:
I used a calculator
Answer:
c=-8
Step-by-step explanation:
[tex]\frac{5}{4}c[/tex] + 12 = 2
1.25c + 12 = 2 ( change 5/4 to a decimal for easy understading)
1.25c + 12 - 12 = 2 - 12 ( isolate the variable rememebr whatever you do to the right do it to the left )
1.25c = -10
1.25c / 1.25 = -10 / 1.25 (divide both sides by 1.25 )
c = -8
HOPE IT HELPED
To find the area of parallelogram RSTU, Juan starts by drawing a rectangle around it. Each vertex of parallelogram RSTU is on a side of the rectangle he draws. On a coordinate plane, parallelogram R S T U has points (negative 4, negative 3,) (negative 5, 1), (4, 3), and (5, negative 1). Which expression can be subtracted from the area of the rectangle to find the area of parallelogram RSTU? 2 (18 + 4) One-half (18 + 4) (18 + 4) (18 - 4)
Answer:
The value that can be subtracted from the area of the rectangle to give the area of the parallelogram = 1/2 × 4.1245 × 0.1085
Step-by-step explanation:
The given parameters are;
The coordinates of parallelogram RSTU are;
R(-4, -3), S(-5, 1), T(4, 3), U(5, -1)
The lengths of the sides are (using an online length calculator);
RS = 4.1231
RT = 10
ST = 9.2195
SU = 10.198
TU = 4.1231
UR = 9.2195
Therefore, by definition of a parallelogram, we have;
RS║TU and ST║UR
The slope of RS = (1 - (-3))/(-5 - (-4)) = -4
The slope of ST = (3 - 1)/(4 - (-5)) = 2/9
The equation of the line perpendicular to ST is therefore;
y - 1 = -9/2×(x - (-5))
y = -9x/2 - 43/2
The equation of RS = y - (-3) = 1/4×(x - (-4)) = x/4 + 1
y = x/4 - 2
The point where the two lines meet is therefore;
-9x/2 - 43/2 = x/4 - 2
x = -78/19
y = -115/38
The length of the side of the rectangle = 4.1245
The excess width of the rectangle = 0.1085
The value that can be subtracted from the area of the rectangle to give the area of the parallelogram = 1/2 × 4.1245 × 0.1085.
Answer: It’s C on edge
Step-by-step explanation:
Find the average rate of change for the function over the given interval.
2) y = 6x3 - 6x2 - 8 between x = 2 and x = 4
Answer:
132
Step-by-step explanation:
The average rate of change over a function can be given by: f(b)-f(a)/b-a. Where b is the second part of the interval and a is the first part.
y = 6x^3-6x^2-8
____
x = 2
6(2)^3-6(2)^2-8
6(8)-6(4)-8
48-24-8
24-8
16
____
x = 4
6(4)^3-6(4)^2-8
384-96-8
288-8
280
_____
280-16/4-2 = 264/2 = 132
f(x) = 3x - 8 and g(x) = -x - 4. Find (f + g)(x) and (f + g)(5).
Answer:
(f+g)(x) = 3x - 8 -x -4
(f+g)(x) = 2x-12
(f+g)(5) - substitute 5 into x
(f+g)(5) = 2(5)-12
(f+g)(5) = 10-12
(f+g)(5) = -2
Step-by-step explanation:
Find the slope of the line that passes through the points (4,10) and (6,9)
Isaaq put 2b + 3 dollars in the bank in the first week. The following week he doubled the first week’s savings and put that amount in the bank. The next week he doubled what was in the bank and put that amount in the bank. If he now has $477 in the bank, how much did he put in the bank the first week? Please add an numerical explanation
Answer:
The answer is $159
Step-by-step explanation:
2b + 3 - Day 1
4b + 6 - Day 2
6b + 9 - Day 3
477=6b+9
-9 -9
468=6b
78=b
(2x78) + 3 = 159
The answer is $159