Answer:
15 ft
Step-by-step explanation:
This is another classic case of Pythagoras theorem. To start with, let's assume that the length of the ladder we're looking for is x
We're told that the height of the building the ladder is leaning on is, x - 3
Also we're told that the distance at an adjacent from the ladder is 9 ft.
If we use Pythagoras theorem, we have
x² = (x - 3)² + 9²
x² = x² - 6x + 9 + 81
On rearranging, we have
x² - x² = -6x + 90
6x = 90
x = 90 / 6
x = 15 ft
Therefore, the length of the ladder is found to be 15 ft
The perimeter of a square is 48 inches. What is the area, in square inches, of the square?
Answer:
the area is 144
Step-by-step explanation:
48 ÷ 4 (which is how many sides a square has) is 12
SO 12 × 12 bc l×w and all sides of a square are equal
the answer is 144
Factor Trinomials:
1) 2x^2 + 14x + 20
2) 8x^2 + 64x +128
(Please show work)
I give out brainliest
Answer:
1. [tex]2(x+2)(x+5)[/tex]
2. [tex]8(x+4)^{2}[/tex]
Step-by-step explanation:
Problem #1:
1. Find the GCF (Greatest Common Factor)
[tex]GCF = 2[/tex]
2. Factor out the GCF and simplify.
[tex]2(x^{2} +7x+10)[/tex]
3. Factor [tex]x^{2} +7x+10[/tex]
Which two numbers add up to 7 and multiply to 10?
2 and 5
Rewrite the expression using the above.
[tex](x+2)(x+5)[/tex]
4. Done!
[tex]2(x+2)(x+5)[/tex]
Problem #2:
1. Find the GCF (Greatest Common Factor)
[tex]GCF=8[/tex]
2. Factor out the GCF and simplify.
[tex]8(x^{2} +8x+16)[/tex]
3. Use the perfect square formula. [tex]a^{2} +2ab+b^{2} =(a+b)^{2}[/tex]
[tex]a = x\\b=4[/tex]
[tex](x+4)^{2}[/tex]
4. Done!
[tex]8(x+4)^{2}[/tex]
The average grade Jared received on 4 tests was 94. If he drops his lowest test grade of 85, what will his new average be?
A.72.75
B.76
C.89.5
D.97
Pls help TT
Answer:
total points on the 4 tests- 94x4= 376
376- 85= 291
291/3= D. 97
Answer:
D. 97
Step-by-step explanation:
x = sum of 4 test grades Jared received
[tex]\frac{x}{4} = 94[/tex]
x = 376
If he drops lowest test grade of 85, then subtract 85 from Jared's sum of all test grades:
x - 85 --> 376 - 85
= 291
Now that one of his test grades are not considered, this means there are only 3 test grades to consider.
291 must be divided by 3 to get the average:
[tex]\frac{291}{3}[/tex] = 97
The answer is D) 97
HELP ASAP PLSSS 10 POINTS
Answer:
true both
Step-by-step explanation:
i did math
Answer:
False
True
Step-by-step explanation:
because comparing one side it's 2:5
solve the equation -2|5w-7|+9=-7
Answer:
w = 3, w = -⅕
Step-by-step explanation:
See attached image
Please help.
Algebra.
pls I need help please :D its math and you'll get 30 points
Its a picture
Answer:
5,750
Step-by-step explanation:
if he has 10 of each then you can multiply each bag by 10 and then multiply the amount of bags to the amount the coin is worth
Gavyn was thinking of a number.gavyn halves it and gets an answer of 9.4 what was the original number?
What is the sum of the exterior angles of polygon QRST?
360°
90°
180°
540°
Answer:
360°
Step-by-step explanation:
The sum of the exterior angles of any polygon is 360°
if it takes you one hour and thirty minutes to drive 87 miles, find your average speed
Answer:
How to calculate average speed. Speed is distance divided by time. Simply put, if you drove 60 kilometres for one hour, it would look like this: Speed = distance (60 km) / time (1 hour) = 60km/h.
Julie has a ripe that is 48 feet long. She cuts three pieces of that are each 6 feet long. How many 10 foot pieces can she cut from the rope that is left over?
Answer:
3
Step-by-step explanation:
6*3=18
48-18=30
30/10=3
3
You told your friend that you could eat 5/8 of a large pizza. If you only ate 1/2 of what you said you could eat, what fraction of a large pizza did you eat?
Answer:
5/16
Step-by-step explanation:
Given that:
Fraction of claim = 5/8
Amount actually eaten = 1/2 of claim
Amount actually eaten = 1/2 * 5/8 = 5/16
Fraction of large pizza actually eaten is 5 /16
Hence, he ate, 5/16 of large pizza
Answer:
Step-by-step explanation:
5/6
YALL, I NEED HELP PLEASE HELP ME!
Answer:
16/r
Step-by-step explanation:
16 is how many people there is in total, r is how they are being divided :)
Can y’all please help me
Answer:
The second option.
Step-by-step explanation:
I did this quiz before, here is an explaination.
You add 0 to 81.3 and it becomes 81.30, then you're able to subtract it from 6.45, you subtract from left to right to find the answer with regrouping!
EXIT TICKET
Ahmad constructed the composition of dilations shown. Figure 2 is 1/2 the
size of Figure 1, and Figure 3 is 2/3 the size of Figure 2.
What is the scale factor from Figure 1 to Figure 3?
Circle the best choice: What is the center of dilation that maps Figure 1 to Figure 3?
Point A
Point B
Point C
Point D
Answer:
Step-by-step explanation:
Point A
Find the first five terms of the sequence defined below, where n represents the position of a term in the sequence. Start with n=1. 10n+10
Answer:
20,30,40,50,60
Step-by-step explanation:
The sequence is given by the relation as follows :
[tex]a_n=10n+10[/tex]
First term, n = 1
[tex]a_1=10(1)+10=20[/tex]
Second term, n = 2
[tex]a_2=10(2)+10=30[/tex]
Third term, n =3
[tex]a_3=10(3)+10=40[/tex]
Fourth term, n = 4
[tex]a_4=10(4)+10=50[/tex]
Fifth term, n = 5
[tex]a_5=10(5)+10=60[/tex]
So, the first five terms of the sequence are 20,30,40,50,60
Find the solution to the following system using substitution or elimination:
y = 3x + 2
y=-2x - 8
A. (-2,-4)
O B. (-ş; – 34)
O C. (-9,-)
D. (1, -6)
Answer:
A. (-2,-4)
x = -2,
y = -4
thats the only way ik how to explain but its the correct answer
Ryan has a box of markers. It has 45 markers that are some shade of blue. The blue markers represent 25% of the total markers in the box. What is the total number of markers in the box?
What is 3 to the 4th power.
Answer:
81
Step-by-step explanation:
3*3=9
9*3=27
27*3=81
brainliest?
Please answer, im in a hurry
Answer:
Q(4,-8) —> Q'(4,6)
R(6,-8) —> R'(6,6)
S(6,-1) —> S'(6,-1)
T(4,-1) —> T'(4,-1)
Hope this helps!
A triangular-shaped sign has a base of 15 ft, and a height of 8 ft. What is the area of the sign?
Answer:
60ft²
Step-by-step explanation:
Area of a triangle = 1/2×base×height
=1/2×15×8
=60
write an equation in slope intercept form for the line passing through (2, 6) with a slope of -3
Answer:
y=-3x+12
Step-by-step explanation:
y-y1=m(x-x1)
y-6=-3(x-2)
y-6=-3x+6
y=-3x+6+6
y=-3x+12
A triangle has sides with lengths 8, 15, and 17.
Approximate the acute angles in this triangle.
Pythagoras is the sum of the square of two sides is equal to the square of the longest side. Then the acute angle of the given triangle is 28.07 degrees.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
A triangle has sides with lengths 8, 15, and 17.
By Pythagoras theorem, we have
H² = P² + B²
17² = 8² + 15²
289 = 64 + 225
289 = 289
The dimension of the triangle satisfies the Pythagoras theorem. Hence the triangle is a right-angle triangle.
Then the acute angle will be
[tex]\rm \theta =Sin ^{-1} \dfrac{8}{17}\\\\\theta = 28.07^o[/tex]
Thus, the acute angle of the given triangle is 28.07 degrees.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
Plzz help!!!!!!!!!!!!!!!!!
Answer:
so far i got A and C
Step-by-step explanation:
if its incorrect im sorry
10. Sonia paid $ 19.55 for 3.4 pounds of salmon. What is the price per pound of the salmon?
Three friends went to the fair. Each paid $5.00 to enter and went on r rides, paying $0.90 per person for each ride. Which expression shows how many dollars they paid in all? A. 3(0.9) +5r
B. 3(5 + 0.9r)
C. (5) + 0.9r
D.3(5) + 3(0.9)
2.Susan and Tom want to know the combined amount of money they earned last week. They both earned $9 per hour, but Susan also earned a $45 bonus. Susan added her earnings to Tom's earnings to write the expression (9S + 45) + 9T, where S is the number of hours she worked, and Tis the number of hours Tom worked. Tom added their combined hourly wages to Susan's bonus to write the expression 9(S + T) + 45. Which of the following statements is true?
A.They are both correct, and their expressions are equivalent.
B.They are both correct, and their expressions are not equivalent.
C.Only one of them is correct, and their expressions are equivalent.
D Only one of them is correct, and their expressions are not equivalent.
3. Amanda and Trinity each wrote an expression, but only Amanda's expression is equivalent to 2x + 5. What could be Trinity's expression?
A.2(x+3)-1
B.3x-(x-5)
C.5(x+1)-3x
D.5x-3(x-1)
Answer:
1. B, 2. A, 3. DStep-by-step explanation:
Question 1One off fee: $5Each ride: $0.90Number of rides: rTotal payment:
3(5 + 0.9r)Correct choice is B
Question 2Since
9S + 45 + 9T = 9S + 9T + 45 = 9(S + T) + 45, the expressions are equivalent and therefore both Susan and Tom are correctThe true statement is A
Question 3Let's compare the expressions with Amanda's expression
A. 2(x + 3) - 1 = 2x + 6 - 1 = 2x + 5, equivalentB. 3x - (x - 5) = 3x - x + 5 = 2x + 5, equivalentC. 5(x + 1) - 3x = 5x + 5 - 3x = 2x + 5, equivalentD. 5x - 3(x - 1) = 5x - 3x + 3 = 2x + 3, not equivalent so this is Trinity's expressionYour firm has net income of $329 on total sales of $1,340. Costs are $740 and depreciation is $130. The tax rate is 30 percent. The firm does not have interest expenses. What is the operating cash flow?
Answer:
Net operating cash flow= $459
Step-by-step explanation:
Giving the following information:
Your firm has net income of $329 on total sales of $1,340. Costs are $740 and depreciation is $130. The tax rate is 30 percent. T
To calculate the operating cash flow, we need to use the following structure:
Sales= 1,340
Costs= (740)
Gross income= 600
Depreciation= (130)
EBIT= 470
Tax= (470*0.3)= (141)
Depreciation= 130
Net operating cash flow= $459
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $5.50 and each adult ticket sells for $8.50. The auditorium can hold at most 110 people. The drama club must make no less than $680 from ticket sales to cover the show's costs. Also, they can sell no more than 70 adult tickets. If xx represents the number of student tickets sold and yy represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
74 or 73
Step-by-step explanation:
We are going to assume that the show is sold out. If 66 student tickets were sold, we only have 74 adult tickets to sell. Based on that information, we then have to use an inequality to find out if the number of adult tickets we have to sell to meet our money requirements is more than the amount of seating we have left after 66 seats were taken by students. Our inequality looks like this:
5.50(66) + 7.50(a) ≥ 910 and
363 + 7.50a ≥ 910 and
7.50a ≥ 547 so
a ≥ 73
In order to meet our money requirement, we have to sell 73 adult tickets. Since we have 74 seats left, we are good.
first to answer please be correct asap !!! giving brainleist and 10 pts.
Answer:
The third one
Step-by-step explanation:
someone please help me I’m going to cry
Welp ig ur gonna cry bc i SUCK at math xx