Answers
Answer:
the ladder is 5 ft from the base of the wall.
--
To find the unknown length, we need to use the Pythagorean Theorem
The Pythagorean Theorem is a²+b²=c²Since the legs are x and 12 this means that a=x and b=12
Also, since the hypotenuse is 13, this means that c=13.
Plug in a=x, b=12, c=13x²+12²=13²x²+144=169Subtract 144 from both sides.
x²=169-144Combine like terms.
x²=25Take the square root of both sides.
x=√25x=5 Simplify the square root.
Answer:
So the solution is x=5 which means that the foot of the ladder is 5 ft from the base of the wall.
Related Questions
True or False? In Exercises 119 and 120, determine whether the equation is true or false. Justify your answer.
120. \ln (x+y)=\ln x+\ln y
Answers
Answer:
True
Step-by-step explanation:
To find true or false
Using the properties of logarithms, the left side of the given equation .logb b^2r=2r
, is equivalent to logb b^2r = 2x logb b
(use Power Rule)
=2x(1)
=2x
Hence, the given statement is a true statement.
It costs $22 to enter an amusement park and $0.50 to ride a ride. You have $23. Write an equation that represents the number r of rides you can ride.
If you get it correct I will give you an brainliest!
Answers
Answer:
[tex]23=0.50r+22[/tex]
Step-by-step explanation:
y=total amount of money
b=cost of admission
m=cost per ride
r= amount of rides
How to solve:
Step 1: Set up the equation in [tex]y=mx+b[/tex] format.
[tex]23=22+0.50r[/tex]
Step 2: Subtract 22 from both sides of the equation.
[tex]23-22=22+0.50r-22[/tex]
Step 3: Divide both sides by 0.50
[tex]\frac{1}{0.50} =\frac{0.50r}{0.50}[/tex]
Step 4: You are left with your answer.
[tex]r=2[/tex]
A researcher weighed pumpkins grown across a certain region. The data are rounded to the nearest pound and displayed in this histogram.
What does the second bin represent?
Select from the drop-down menu to correctly complete the statement.
Sixteen pumpkins weigh
more than 2.4 pounds but no more than 4.8 pounds
more than 2.4 pounds but no less than 4.8 pounds
at least 2.4 pounds but no more than 4.8 pounds
at least 2.4 pounds but less than 4.8 pounds
Answers
i need some help with this!! i want my grade to go up
Answers
the square root of 61 is close to the square root of 64, which is 8
24 + 8 = 32
32/4 = 8
BRAINLIEST? thank you!! :DD
24+8=32
32/4=8
the square root of 64 is 8
ASAP (I will give brainliest for most accurate answer) move the options to the blank to complete the series of transformations that will show triangle abc - def
Answers
Answer:
1. is 2
2. is right and 10
Step-by-step explanation:
just took the test will explain if needed
From the triangles given, ∆ DEF was dilated to ∆ ABC
The dilated triangle is = ∆ ABC
To find the scale factor uses for the dilation of the triangle, the length of the triangle AC and DF are considered.
AC from the scale= -2 -(-7)
= 7-2= 5
DF= 9-6.5
= 2.5
Therefore the scale factor = 5/2.5 = 2
And since the scale factor of dilation is 2 this means that ∆ A' B' C' can be translated to the 0.5 by 2 units.
Learn more about triangles here:
https://brainly.com/question/2644832
#SPJ2
Help please because this is due today at 6:00 P.M.
Answers
Answer:
Area, 199.5, Perimeter, 46.45
Step-by-step explanation:
1. Decompose it into 2 shapes; rectangle and triangle
2. Find the area of the triangle; 10cm×7.6cm=76×1/2=38
3. Find the area of the rectangle; 21.25cm×7.6cm=161.5
4. Add the products 38+161.5=199.5
Perimeter:
1. Decompose it into 2 shapes; rectangle and triangle
2. Find the perimeter of the triangle; 10cm+7.6cm=17.6
3. Find the perimeter of the rectangle; 21.25+7.6=28.85
4. Add the sums 17.6+28.85=46.45
How to write fractions in simplest form?
( I give brainliest )
Answers
It's pretty easy, take the example of this fraction... [tex]\frac{2}{4}[/tex]
What you do in here is that you note down the factors of 2 and 4 over here.
Factors of 2 and 4:
2 = 1, 2
4 = 1, 2, 4
Now, you see that the GREATEST Common Factor (GCF) over here is 2.
Now that we see the GCF of 2 and 4 is 2, what you do next is, you have to divide 2 by 2 AND 4. When you do this, you will get your results. 2 = 1 and 4 = 2, now put this in the fraction form again, meaning switch 2 with 1, and 4 with 2 in the fractions... [tex]\frac{1}{2}[/tex]
So your simplified fraction is [tex]\frac{1}2}[/tex]!
Answer:
A fraction is in simplest form when the top and bottom cannot be any smaller, while still being whole numbers.
You can simplify a fraction by dividing the top and bottom by the greatest number that will divide both numbers exactly. They must stay whole numbers.
Hopefully this picture helps explain :)
The height of a cylindrical can is 4 7/16 inches and the radius is 3 inches. Which measurement is closest to the total surface area of the can in square inches?
A)83.64 in²
B)55.96 in²
C)41.82 in²
D)140.19 in²
Answers
Answer:
D)140.19 in²
Step-by-step explanation:
What is the missing value in the ratio table?
7.2
1.2
10.8
6
Answers
Answer:
The answer is 6
Step-by-step explanation:
it is 6 (y = 12x / 10)
Problem-solving: Comparing Strategies
Answers
35. Five cards are drawn from a deck. Find the probability of the specified event.
Obtaining at least one ace
Answers
Answer:
0.3412
Step-by-step explanation:
Please look at the photo for an explanation.
calculate the volume of the following figure
Answers
Answer:
24 units³
Step-by-step explanation:
Formula:
Volume (V) = length (l) × width (w) × height (h)
V=3×4×2=24 units³
Answer:
the answer should be 24 units^3 because the formula for finding volume is V= lwh so we need to multiply 2 times 3 and 4 and when we do that we get an answer of 24 so a is the correct answer and have a great day.
Step-by-step explanation:
what is the measure of ∠x
Answers
Step-by-step explanation:
Here x and 80° are supplementary angle so...
x + 80° = 180°
x = 180° - 80°
x = 100°
ill give brainly but hurry
Answers
Answer:
D. 270
Step-by-step explanation:
9 + 9 = 18
18 x 15 = 270
Answer:
270
Step-by-step explanation:
1. divide the bases into separate numbers and add them together. 18.
2. multiply by the height, which is the dotted line. The result is 270.
5. Write an expression.
a. 2 less than s
c. 5 times the quantity y - 2
b. the quantity 7 + x, squared
d. the quotient of 4 and x²
Answers
b. (7+x)^2
c. 5y - 2
d. 4/x^2
c. 5(y-2)
b. (7+x)^2
d. 4/x^2
I need help its due today lol
Answers
Answer:
7= 120 8= 175
Step-by-step explanation:
all you have to do is times the numbers
Answer: the answer to number 7 is 17 answer to number 8 is 24
Step-by-step explanation:
Use the pythagorean theorem
a^2 + b^2 = c^2
What is the balance point of the data set?
4
6
9
36
Answers
Answer:
4
Step-by-step explanation:
2+2+2+3+3+4+5+7+8
=36
36/9
=4
The width of a rectangle is four units less that its length. Write an expression for the perimeter of the rectangle
Answers
37. Three married couples have purchased tickets for a play. Spouses are to be seated next to each other, and the six seats are in a row. In how many ways can the six people be seated?
Answers
48
1st seat 6 possible for each 6 only 1 possible(spouse) for seat 2
3rd seat 4 possible for each 4 only 1 possible(spouse) for seat 4
5th seat 2 possible for each 2 only 1 possible(spouse) for seat 6
6 x 4 x 2 = 48
OR 3 couples possible arrangements 3 x 2 x1 = 6
each couple 2 possible 2 x 2 x 2 = 8
therefore 6 x 8 = 48
Find the slope of the following graph.
A.1/2
B.2
C.-2
D.-1/2
Answers
A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 5 millimeters long, and the height of the equilateral triangle is 4.3 millimeters. The pyramid slant height is 7 millimeters. What is its surface area?
_____ Square Millimeters
Help!
Answers
Answer: I think it should be about 150.5 square mm
Step-by-step explanation:
I just multiplied all the dimensions you wrote...
By the way if its wrong please tell me so I can learn.
Thanks!
HEYAAAAAAAAAAAAA I NEED HELP
Answers
Data Set : {8, 2, 5, 0, 1, 9, 2, 5, 2}
Arrange in ascending order : {0, 1, 2, 2, 2, 5, 5, 8, 9}
Range = Last Term - First Term = 9 - 0 = 9 is the range
Mean = sum of terms/number of terms = 34/9 = 3.777... = 3.78 is mean
Mode = the most appearing integer in the set = 2 is the mode
Median = The integer at the middle of the set = 2 is the median
======================
Range = 9Mean = 3.78Mode = 2Median = 2Mean: Add up all the numbers and divide by the amount of numbers. 8+2+0+1+9+2+5+2= 29 then divide by 9 = 3.22 therefore the mean is 3.22.
Mode: Number that appears the most frequent. There can be multiple. In this case the mode is 2.
Median: The middle number. First order from lowest to highest: 0,1,2,2,2,5,8,9. In this case the median is 2 and 2. So we simply add 2+2 which equals 4 and divide it by 2. Therefore the median is 2. Hope this helped!!
( 20 points ) Can somebody help me answer this?
Answers
Answer:
Naja earns 64$ per 8 hours of work
Step-by-step explanation:
2 steps:
Step 1
Divide 5 by 40 to find how much dollars per hour
[tex]\frac{40}{5} =8[/tex]
8, so that means that Naja earns $8 per hour
Step 2
Multiply 8 by 8 to get final answer
[tex]8*8=64[/tex]
$64, so that means that Naja earns 64$ per 8 hours of work
Naja earns 64$ per 8 hours of work
Answer:
$64 for 8 hrs.
Step-by-step explanation:
There are 2 ways you could do this. The easy way is the first one.
1. Divide 40 by 5 and you get 8. 2. After you get that answer, then you have to multiply 8x8=64. So she gets $64 per hour.
Then there is the harder one. This is if they say to show your work.
1. Start by putting it in this format:
5 -- 40
6 -- 48
7 -- 56
8 -- 64
So you basically just add 8 each time to get 64.
Hope this helps! Please give brainlist!
Steve provides lawn care services in his neighborhood.
For each lawn he charges a flat fee of $6 for clean-up and $10 per hour.
Which equation represents the relationship between the total charge, c, and the number of hours he works, h?
Answers
Answer:: c = 10h + 6
is that u in ur pf?
Step-by-step explanation:
Find the diameter of the circle with the given radius.
5. 20 feet
Answers
Answer:
40 feet
Step-by-step explanation:
the diameter is just Rx2 (R being the radius)
Evaluate the expression. 11. [tex] 3(1+8)^{2} [/tex]
Answers
Refer to Expression 1 and Expression 2.
Expression 1
6⋅7−32⋅9+43
6⋅7−32⋅9+43
Expression 2
5+4⋅2+6−2⋅2−1
+⋅+−⋅−
What is the value of Expression 1?
Insert parentheses in Expression 2 so that it has a value of 19. Then show why your expression has a value of 19.
Answers
Answer:
Use the order of operations PEMDAS:
ParenthesesExponentsMultiplication and Division (from left to right)Addition and Subtraction (from left to right)Expression 1
6 ⋅ 7 - 32 ⋅ 9 + 43
= 42 - 288 + 43
= -246 + 43
= -203
Expression 2
Insert parentheses around 5 + 4:
(5 + 4) · 2 + 6 - 2 ⋅ 2 - 1
= 9 · 2 + 6 - 2 ⋅ 2 - 1
= 18 + 6 - 4 - 1
= 24 - 4 - 1
= 20 - 1
= 19
Answer:
Expression 1
6 ⋅ 7 - 32 ⋅ 9 + 43
= 42 - 288 + 43
= -246 + 43
= -203
Expression 2
Insert parentheses around 5 + 4:
(5 + 4) · 2 + 6 - 2 ⋅ 2 - 1
= 9 · 2 + 6 - 2 ⋅ 2 - 1
= 18 + 6 - 4 - 1
= 24 - 4 - 1
= 20 - 1
= 19
Step-by-step explanation:
There are 480 students and 20 teachers at a small private school. To keep the same student to teacher ratio, how many teachers are needed for 960 students?
Answers
Answer: 40
Step-by-step explanation:
480/20=960/x Cross multiply
19200=480x
x=40
Answer:
40 teachers are needed
Step-by-step explanation:
480 : 20 = 24 : 1
960/24 = 40
= 960:40
HELP PLEASE. GIVING OUT 20 POINTS.
Answers
Answer:
d≈24.49
Length 20
Width 10
Height 10
formula:
[tex]d= \sqrt{l^2+w^2+h^2} = \sqrt{20^2+10^2+10^2} = 24.4949[/tex]
Have a good day!
The price of one share of Acme Company declined $2 per day for 4 days in a row. How much did the price of one share change in total after the 4 days?**Just write the negative or positive number (Example. -1 or 1)
Answers
its either -8 or 8 im not sure which good luck tho!