The height of the wall of the building is 13.067 feet.
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Given that the base of a 14-foot ladder is 5 feet from a building. The height of the building will be calculated as below:-
Applying the Pythagorean theorem to calculate the height of the building.
H² = P² + B²
14² = P² + 5²
P² = 14² - 5²
P = √171 = 13.07 feet
Therefore, the height of the wall of the building is 13.067 feet.
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Write your equation with "M" isolated.4 Hours (H) 36 Miles (M)
billy started a paper route with 21 customers. if he adds 3 new customers every week, how many weeks will it take to double the number of customers on his route.
Answer:
It will take billy SEVEN weeks
Step-by-step explanation:
It will take Billy seven weeks because 3 x 7 = 21
What is 30474x484 and then that divided by 47
Answer:
313817.3617
Step-by-step explanation:
30474*484 = 14749416
14749416/47 = 313817.3617
Answer:
3687354
Step-by-step explanation:
30474x484 = 14749416
14749416 divided by 4 is 3687354
At a movie theater, the ratio of filled seats to empty seats is 6 : 5. ere are 120 empty seats. How many seats are filled?
Answer:
filled seats is 144
Step-by-step explanation:
5fs=6es
es=120
5fs=6(120)
5fs=720
fs=144
brainlist answer please
Help i don't get it. I've been trying
Answer:
JK = 42 , KL = 78
Step-by-step explanation:
JK + KL = JL , substitute values
4x + 6 + 7x + 15 = 129 , that is
11x + 21 = 120 ( subtract 21 from both sides )
11x = 99 ( divide both sides by 11 )
x = 9
Then
JK = 4x + 6 = 4(9) + 6 = 36 + 6 = 42
KL = 7x + 15 = 7(9) + 15 = 63 + 15 = 78
If you know two angle measures of a triangle in spherical geometry, can you always find the measure of the third angle? Explain.
A. Yes; the angle measures of a triangle always sum to 180.
B. Yes; the angle measures of a triangle always sum to 270 in spherical
geometry.
C. No; the sum of angle measures in spherical geometry is always greater than
180, but there is not a particular number they must sum to.
D. No; the sum of angle measures in spherical geometry is always greater than
270, but there is not a particular number they must sum to.
When two angle measure of a triangle are given in spherical geometry: The sum of angle measures in spherical geometry is always greater than 180, but there is not a particular number they must sum to. Choice C (No) is correct
According to the question;
Two angle measures of a triangle in spherical geometry are given.However, unlike in plane geometry where affirmatively, the sum of angles in a triangle is equal to 180°.
In spherical geometry;
The totality of the angles of a triangle on a sphere is given as 180°(1 + 4x), where x is the fraction of the sphere's surface that is enclosed by the triangle. For any positive value of x, which in each case exceeds 180°.
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HELP PLS DUE IN 5TH PERIOD AND IT 3RD PERIOD RNN
Answer:
Step-by-step explanation:
Just plot them in the right location we really can't help with that
HELP PLSSS THIS IS HARD SOMEONEEE
LCD of the fractions below
1/3 And 5/8
Answer:
24
Step-by-step explanation:
LCD = 24
Equivalent Fractions with the LCD
1/3 = 8/24
5/8 = 15/24
Simplify the expression.
options:
33
38
34
39
Step-by-step explanation:
the answer is
[tex] {3}^ {9} [/tex]
the explanation is that {3^3}^4 = 3^12
and 3^12 x 3^2 / 3^ 5 = 3^9
True or False: In order to solve an equation, we must isolate the variable.
In this lesson you discovered the Angle Blsector Conjecture. Write the converse of the Angle Blsector Conjecture. Do you think it's true. Why or why not?
Answer: The converse is that if a point is on the interior of an angle and is equidistant from both sides of the angle, then the point lies on the angle bisector. This makes sense since the distance from a point and a side of the angle is a perpendicular line connecting the point to a side. And since it is equidistant from both sides, the perpendicular lines have to be congruent, it make sense if the point is on the angle bisector, the traingles would be congruent.
Step-by-step explanation: The explanation is in the answer.
How are SSS and SAS similarity theorems different from one another? *
Answer:
when two triangles are said to be similar by SSS theorem, these 2 triangles not only have 3similar sides, but also the same 3 angles. on the other hand if they're said to be similar SAS theorem, it's highly unlikely they will have all three same Angles.
hope this helped
pls help will mark brainliest
solve the system using a matrix.
Answer:wertyuiop[]\]
';lkjhgfd
Step-by-step explanation:
Raven is making pillows. Each pillow requires 3/5 yard of fabric. Raven has 6 yards of fabric. Use the number line to find 6 ÷ 3/5, the number of pillows Raven can make
A: 10 pillows
B: 6 pillows
C: 5 pillows
D: 3 pillows
Answer:
A: 10 pillows
Step-by-step explanation:
Conventional way:
Turn 6 into 6/1.
6/1 ÷ 3/5
Answer: 10
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what's the distance between each pair of points R(0,5), S(12,3)
Answer:
square root of 369
Step-by-step explanation:
What is a rule that describes the translation that maps triangle ABC onto triangle A'B'C'?
A.T< 5, 3 >(ABC)
B. T< −5, 3 >(ABC)
C. T< 5, −3 >(ABC)
D. T< −5, −3 >(ABC)
Answer:
the answer is D.
Step-by-step explanation:
I took the test and got it right!
Please help I really need it!
The rate of change is 2/3
rise = 2
run = 3
rise/over = 2/3
Answer: 2/3 is gonna be your answer. Trust me I have done this exact
g o o g l e form before!
Step-by-step explanation:
The speed (v) of a gear varies inversely as the number of teeth (t). If a gear that has 48 teeth makes 20 revolutions per minute, how many revolutions per minute will a gear that has 30 teeth make?
I'll give Brainliest! Please no links
Answer:
32 revolutions per minute(rpm)
Step-by-step explanation:
v inversely proportional to t
so if v increases t will decrease and vice versa
inverse equation is xy=k
xy=k
48×20= 960 (revolutions)
then you'll take k(960) and divide it by number of teeth
so..
960/30 = 32 revolutions per minute
NEED THIS ASAP PLEASE HELP
The variables x and y in the figure represent the measures of angles.
Solve for x and y.
Answer:
y=45 x = 63
Step-by-step explanation:
ill type it if u need it
One week, Sharon worked 18 hours as a lifeguard and 12 hours at a concession stand and earned $228. The next week, she earned $254 for 24 hours as a lifeguard and 8 hours at the concession stand. How much per hour does she get paid for each job?
Answer:
She is paid $6.25.hour at the concession and $8.50 as a lifeguard.
Step-by-step explanation:
We know:
18 hours as a lifeguard
12 hours at concession
Total earned = $228
18L + 12C = 228
Then:
24 hours as a lifeguard
8 hours at concession
Total earned = $254
24L + 8C = 254
Move one equation around to get one variable by itself: in this case we can solve for L:
18L + 12C = 228
18L = 228 - 12C
L = (228/18) - (12/18)C
Plug in for L:
24((228/18) - (12/18)C) + 8C = 254
Solve for C:
C = 6.25
Now that we know C, plug in value for C and solve for L:
18L + 12(6.25) = 228
L = 8.5
So she is paid $6.25.hour at the concession and $8.50 as a lifeguard.
What represents the recursive formula for the arithmetic sequence an=7-3(n-1)
Answer:
[tex]\left\lbrace\begin{aligned}& a_{1} = 7 \\ & a_{n+1} = a_{n} - 3 && \text{for $n \ge 1$}\end{aligned}\right.[/tex].
Step-by-step explanation:
An arithmetic sequence could be defined using only two pieces of information:
The first term of this sequence, [tex]a_{1}[/tex].The common difference between two consecutive terms of this sequence, [tex]d[/tex].The arithmetic sequence in this question is given in the explicit form, [tex]a_{n} = 7 - 3\, (n - 1)[/tex], which is equivalent to [tex]a_{n} = 7 + (-3)\, (n - 1)[/tex]. In the explicit form, [tex]a_{1}[/tex] and [tex]d[/tex] are described in the same equation:
[tex]\text{$a_{n} = a_{1} + d\, (n - 1)$ for $n \ge 1$}[/tex].
Compare [tex]a_{n} = a_{1} + d\, (n - 1)[/tex] with [tex]a_{n} = 7 + (-3)\, (n - 1)[/tex]: [tex]a_{1} = 7[/tex] whereas [tex]d = -3[/tex].
When an arithmetic sequence is given in the recursive form, [tex]a_{1}[/tex] and [tex]d[/tex] are specified in two separate equations:
[tex]\left\lbrace\begin{aligned}& a_{1} = a_{1} \\ & a_{n+1} = a_{n} + d && \text{for $n \ge 1$}\end{aligned}\right.[/tex].
In this question, it was found that [tex]a_{1} = 7[/tex] whereas [tex]d = -3[/tex]. Hence, the corresponding recursive formula for this arithmetic sequence would be:
[tex]\left\lbrace\begin{aligned}& a_{1} = 7 \\ & a_{n+1} = a_{n} + (-3) && \text{for $n \ge 1$}\end{aligned}\right.[/tex].
headache
exhausted
less
patrick
Answer:
Step-by-step explanation:
c is correct. To verify this, look at the point (4, 4) on the black graph. For the same x value (4), we have on the red graph the point (4, 2). If we now look at this point (4, 2) on the red graph we see that the y-value (2) is half that of the point (4, -4) on the black graph: f(x) = (1/2)y
What are four decimals that are in between 0.45 and 0.46?
Answer:
[0.45(many 0's)1] through [0.459] repeating 9
Step-by-step explanation:
All these numbers fall in between 0.45 and 0.46. So if you were to draw out a number line you can find all the answers in between, example being: 0.456, 0.45897, etc.
The decimal numbers are given as 0.451, 0.452, 0.453, and 0.454 respectively.
What is a Decimal number?A decimal number is the representation of a number in whole and a part. The whole is represented by an integer while the part is equivalent to a number divided by the order of 10.
The given decimal numbers are 0.45 and 0.46.
In order to write the numbers between them, write the given decimals up to 3 places as follows,
The numbers are 0.450 and 0.460.
The four decimals between them are as follows,
0.451, 0.452, 0.453, and 0.454.
Hence, the four decimals that lies between 0.45 and 0.46 are given as 0.451, 0.452, 0.453, and 0.454 respectively.
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Claire's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. This relationship can be represented by the equation y represented by the equation y = 56 + 7.1x, where y represents the expected quiz score and x represents hours spent on homework that week. What is the meaning of the x-value when y = 92?
the change in expected quiz for every additional one hour students spend on their homework.
a student's expected quiz score if they spent 1 hours on their homework.
the number of hours a student should spend on their homework to expect a score of 92 on the quiz.
a student's expected quiz if they spent 92 hours on their homework.
Answer: t = 5.7 hours
Step-by-step explanation:
y=56+7.1x where x is the time spent studying. If y=92, this equation would preduct that the student spent t hours studying. Find t:
92=56+7.1x
36=7.1t
t = 5.07 hours to achieve the 92 score.
Answer: The number of hours a student should spend on their homework to expect a score of 97 on the quiz
Step-by-step explanation:
Patty rides her bike 2 3/4 miles to school. She rides 3 5/6 miles to get back home, because she needs to meet her brother at school first. How many miles does Patty ride her bike? Explain how you know that your answer is reasonable.
Answer:
6 7/12 miles
Step-by-step explanation:
Explanation: The total miles she rides is the miles she rides to school + the miles she rides back
Step 1: Convert both mixed numbers into fractions.
2 3/4 = 11/4
3 5/6 = 23/6
Step 2: Find GCF by multiplying both fractions by opposing denominators
11/4 = 66/24 (11 * 6 = 66, 4 * 6 = 24)
23/6 = 92/24 (23 * 4 = 92, 6*4=24)
Step 3: Add both fractions
92/24 + 66/24 = 158/24
Step 4: Simplify
158/24= 79/12 = 6 7/12 miles
Phil is riding his bike. He rides 29 miles in 2 hours, 43.5 miles in 3 hours, and 58 miles in 4 hours. Find the constant of proportionality and write an equation to describe the situation. Let x represent the number of hours.
What is the constant proportionality?
And what is the equation that best describes the relationship?
did this test 100 an got an hundred and help all of my class becaseu i am the teacher
pls pls pls help me with this
Answer:
h=3
Step-by-step explanation:
divided the 21 by the 7
A picnic table requires 5 boards that are 6 feet long, 4 boards that are 3'3" long, and 2 boards that are 18 inches long. Find the total length of lumber required, using feet as your final unit.
Answer:
22
Step-by-step explanation:
5 boards = 6 feet
4 boards = 13 feet
2 boards=3 feet
and when you add them its 22.
The larger of two consecutive integers is 13 greater than four times the smaller. Find the integers. -3, -4 7, 8 3, 4
Answer:
The integers are -3 and -4.
Step-by-step explanation:
Two consecutive integers are an integer and the one just greater or just less than the4 first one, such as 5 and 6, or -8 and -9.
If the smaller integer is x, then the next greater integer is x + 1.
x + 1 = 4x + 13
-3x = 12
x = -4
x + 1 = -3
Answer: The integers are -3 and -4.
Check:
Smaller integer: -4
Larger integer: -3
4 times smaller integer = 4 * (-4) = -16
13 greater than 4 times smaller = -16 + 13 = -3 = greater integer
-3 and -4 is the correct answer.
Answer:
-3 and -4
They are indeed correct.