The solution is Option C.
The height of the wall to the top of the ladder is 15 feet
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the triangle be represented as ABC
Let the height of the wall be represented as h = AB
Now , Larry liens a 16 foot ladder against a wall
So , the hypotenuse of the triangle AC = 16 feet
And , the base is 5 feet away from the wall
So , the base of the triangle BC = 5 feet
The height of the wall h is given by the Pythagoras theorem ,
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Substituting the values in the equation , we get
AC² = AB² + BC²
16² = AB² + 5²
On simplifying the equation , we get
Subtracting 5² on both sides of the equation , we get
AB² = 16² - 5²
AB² = 256 - 25
AB² = 231
Taking square root on both sides of the equation , we get
AB = 15.19
AB ≈ 15 feet
Therefore , the value of h is 15 feet
Hence , the height of the wall is 15 feet
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9. Change the given equation to the form y = mx + b. Give the values of b and m.
x + 4y = 16
B=
M=
It is 5:15 pm now. What time will it be in 40 minutes?
Answer:
5:55 pm
Step-by-step explanation:
Answer:
5:55pm
Mark brainlest if correct
Step-by-step explanation:
Which numbers are irrational numbers?
Select each correct answer.
Answer
Well pi is an irrational number because it can't be simplified into a fraction. And from what I can see neither can the sqaure root of 10/49. So I believe it would be both of them. But if there is only one answer than i'm not sure sorry. But it also says each so maybe there is more than one answer.
Step-by-step explanation:
Need some help on this question please
[tex]2(4x+1)<3(2x-3)\\\\\implies 8x +2 < 6x -9\\\\\implies 8x <6x -9 -2\\\\\implies 8x -6x < -11\\\\\implies 2x<-11\\\\\implies x< -\dfrac{11}2\\\\\\\text{Interval,} ~ \left(-\infty, -\dfrac{11}2 \right)[/tex]
Answer:
x<3.5
Step-by-step explanation:
multiply 2 with 4x and 1 to get 8x + 2 < 3(2x-3). Then multiply 3 by 2x and -3 to get 8x + 2 < 6x- 9. Then subtract -6x on both sides to get 2x + 2< -9. Next subtract 2 from -9 so x is by itself and then you get 2x < 7. Finally divide 2 on each side so you leave x byitself completely. You get x > 3.5
I hope u get it right!
A rectangular garden has a walkway around it. The area of the garden is 4(2.5x + 1.5). The combined
area of the garden and the walkway is 5.5(4x + 4). Find the area of the walkway around the garden as
the sum of two terms.
Answer:
Area of Walkway = 12x+16
Step-by-step explanation:
Area of Garden = 4(2.5x + 1.5) [Garden Area]: (10x + 6)
Area of Garden and Walkway = 5.5(4x+4) [Total Area]: (22x + 22)
Area of Walkway = [Total Area] - [Garden Area]
Area of Walkway = [5.5(4x+4)] - [4(2.5x + 1.5)]
Area of Walkway = [22x+22)] - [10x + 6)]
Area of Walkway = 12x+16
Answer:
9x+11 Its hard to explain but if you need a explanation khan academy really helps.
Data were collected on the number of days per week that members visit a certain fitness center. The values varied from 0 to 7, and a distribution of relative frequencies for the values was created. Let the random variable X represent the number of days per week that a member visits. The mean of X is 3.12. Which of the following statements is the best interpretation of the mean
A. Each member visits the fitness center 3 or 4 days per week.
B. The average number of days that each member visits the fitness center is 3.12 days per week.
C. Half the members visit the fitness center 3 days per week or less, and the other half 4 days per week or more.
D. The long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week.
E. For a random sample of members selected from the population, the average number of visits for the sample will be 3.12 days per week.
Answer: D
Step-by-step explanation:
The long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week. Option D is correct.
What is mean?The mean of the values is the ratio of the total sum of values to the number of values.
Here,
Let the random variable X represent the number of days per week that a member visits.
The mean of X is 3.12.
This mean describes that on an average 3.12 day in a week members visit the fitness center, it implies that the long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week.
Thus, the long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week. Option D is correct.
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Solve:
A.152
B.176
C.5
D.27
Answer:
Option B
176
Step-by-step explanation:
take 11 to the next side of the equation making the division multiplication getting us 16×11=176
PLEASE HELP!! :( I will mark brainliest!
Answer:
14 give me that badge :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
14 faces
worth 10 points thankyou
Answer:
DCBA
Step-by-step explanation:
Which function is represented by the graph?
O f(x) = (x – 11 + 3
O f(x) = 5x + 11 – 3
O f(x) = |x – 11 – 3
Of(x) = x + 1] + 3
Answer:
b
Step-by-step explanation:i took the quiz
PLEASE NO LINKS AND NO NEGATIVITY
Step-by-step explanation:
Answer is student 1 and 3 ( the second option is correct )
Answer:
The answer is Student 1 and 3.
Step 1: Break down each multiple-choice.
Student 1: -(5r-3s+1)
Given the distributive law of multiplication, -, which is also known as -1, should be multiplied by every other term in the expression, which gives us -5r+3s-1
Student 2: -5r+3s+1 (given)
Student 3: -5r+3s-1
The values of Student 1 and 3 are the same, thus the answer is Student 1 and 3.
An Ipad that costs $500 is on sale for 15% off. Then has a 6% tax. What's the final price?
Answer:
subject tooo
Step-by-step explanation:
sorry
Answer:
$450.50
Step-by-step explanation:
32 feet
8 feet
What will the new dimensions of the rectangle
be after a dilation with a scale factor of
7/8
Answer:
i do not know
Step-by-step explanation:
A baby who was 18 inches at birth is now 24 inches by what percentage did the babys height increase
Answer:
≈33.3%
Step-by-step explanation:
First we find the difference of the heights to see what the growth was
24-18 = 6
Then we find what percent 6 is of 18 to see what percentage growth occured
6/18 ≈33.3%
y^2 - 19 = 0 find the sum and product
Answer: Sum of the roots: √19 - √19 = 0
Product of roots: (√19)(-√19) = -19
Step-by-step explanation:
y2 - 19 = 0
add 19 to both sides
y2 = 19
take square root of both sides
y = ±√19
So y = √19 or y = -√19
Find the sine of ∠D.
Write your answer as an integer or as a decimal rounded to the nearest hundredth.
We know
[tex]\\ \sf{:}\Rrightarrow sin\Theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
Now
[tex]\\ \sf{:}\Rrightarrow sinD=\dfrac{FE}{DE}[/tex]
[tex]\\ \sf{:}\Rrightarrow sinD=\dfrac{55}{73}[/tex]
PLZ ANYONE HELP ME PLZ BEFORE THE HOLIDAY BREAK BEGINS!!!!!!!!!!!!!!
The Uber base fare is $1. There is a charge of $1.05 per mile. You also plan to give the
driver a $2 tip.
Task 1 Student Directions:
Part A: Write an expression to represent the amount of money need to take a taxi or take Uber.
(x = the number of miles.)
Taxi Expression: ____________________ Uber Expression: __________________
Part B: Complete the table to determine how much it will cost to go 12 miles, 20 miles and 50 miles.
Taxi Uber
Part C: Which mode of transportation is better, use information from the table to support your answer. BUT PLZ JUST DO THE PART B AND PART C ONLY THANKS.
Answer:
Part A. (Uber)$1 + $2 + 1.05x
(taxi)
Part B. (Uber)$15.60 (12mi) $24(20mi) $55.50(50mi)
(taxi)
Part C.
Step-by-step explanation:
Part B. Uber
12 miles: $1 + $2 + 1.05(12)
3+12.60
15.60
20 miles: $1 + $2 + 1.05(20)
3+21
24
50 miles: $1 + $2 + 1.05(50)
3+52.50
55.50
Part B. Taxi
Part C.
Can someone plz help Me? :(
the greatest common factor of 48 and 60 is D.) 12
Answer:
Answer: D or 12
Step-by-step explanation:
This one is fairly simple.
The Greatest Common Factor is the largest number that can go into both 48 and 60...
What I did is simply took the largest number from the answer choices: which is 12 and then divided 48 and 60 by 12 each. 12 can go into both of these number whole so 12 is your greatest common factor.
If the purchase price for a house is $218,500, what is the monthly payment if you put 3. 5% down for a 30 year loan with a fixed rate of 6. 5%? a. $1,332. 73 b. $1,378. 19 c. $1,247. 54 d. $646. 40.
Answer: A $1,332.73
Step-by-step explanation:
The monthly payment if you put 3. 5% down is a. $1,332. 73.
Down payment=218,500 - (218.500×3.5%)
Down payment=218.500-7,647.5
Down payment=210,852.50
Time = 12×30=360 months
rate=6.5/1,200 = 0.005416667
Using the loan payment formula
Monthly payment = (Rate + [Rate / (((1 + rate)^months) -1)] × Principal
Let plug in the formula
Monthly payment = (0.005416667 + [0.005416667 / (((1.005416667)^360)-1)] × principal
Monthly payment = (0.005416667 + [0.005416667 / (((1.005416667)^360)-1)] ×principal
Monthly payment = 0.005416667 + [(0.005416667 / 6.9917988084 -1)] ×210,852.50
Monthly payment = 0.005416667 + [(0.005416667 / 5.9917988084)] × 210,852.50
Monthly payment = 0.005416667 + [(0.005416667 / 5.9917988084)] × 210,852.50
Monthly payment = (0.005416667 + 0.0009040135) × 210,852.50
Monthly payment = 0.0063206805× 210,852.50
Monthly payment = 1,332.73
Inconclusion the monthly payment if you put 3. 5% down is a. $1,332. 73.
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when using the zero product rule you know at least one of the factors must equal *blank*
Answer:
The Principle of Zero Products states that if the product of two numbers is 0, then at least one of the factors is 0.
Step-by-step explanation:
Answer:
when using the zero product rule you know at least one of the factors must equal 0 because and most places anything that is put with zero equal zero because zero have no value
Step-by-step explanation:
Which of the following expressions has a ''x'' term with a coefficient of 1?
x² + 5x + 1
3x² - x - 4
5x² + x - 9
4x²- 7x + 1
Write an equation for the graph.
Answer:
y = 3x + 2
Step-by-step explanation:
3 is the slope
2 is the y-intercept
help me plsssssssssssssssssssssssss
when -3 - 2m < 0 => -2m < 3 => m > -3/2
ANSWER: C
Ok done. Thank to me :>
A= 3x3x3x3x3x5x7x7x7
B= 2x2x2x3x7x7x7x7
Find the Lowest Common Multiple (LCM) of A and B.
Please help
Answer:
LCM(57624, 416745) = 23,337,720 or LCM = 23337720
Step-by-step explanation:
List all prime factors for each number.
Prime Factorization of 57624 is:
2 x 2 x 2 x 3 x 7 x 7 x 7 x 7 => 23 x 31 x 74
Prime Factorization of 416745 is:
3 x 3 x 3 x 3 x 3 x 5 x 7 x 7 x 7 => 35 x 51 x 73
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
The new superset list is
2, 2, 2, 3, 3, 3, 3, 3, 5, 7, 7, 7, 7
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 7 x 7 x 7 x 7 = 23337720
In exponential form:
LCM = 23 x 35 x 51 x 74 = 23337720
LCM = 23337720
Therefore,
LCM(57624, 416745) = 23,337,720
bryan has some 3 cent stamps and some 4 cent stamps. what is the least number of stamps he can combine so the value of the stamps is 33 cents?
Answer:
The least number of stamps required is [tex]9[/tex]
Step-by-step explanation:
Let the number of [tex]3[/tex] cent stamps be [tex]x[/tex] and [tex]4[/tex] cent stamps be [tex]y[/tex]
We have
[tex]3x+4y=33[/tex]
The minimum number is obtained when more [tex]4[/tex] cent stamps are used
Here [tex]y[/tex] cannot be greater than [tex]8[/tex] since [tex]\frac{33}{4} <9[/tex]
Substitute [tex]y=8[/tex]
[tex]3x+4\times 8=33\\\\3x=1\\\\x=\frac{1}{3}[/tex]
Not possible since [tex]x[/tex] is not a fraction
Substitute [tex]y=7[/tex]
[tex]3x+4\times 7=33\\\\3x=5\\\\x=\frac{5}{3}[/tex]
Not possible since [tex]x[/tex] is not a fraction
Substitute [tex]y=6[/tex]
[tex]3x+4\times 6=33\\\\3x=9\\\\x=\frac{9}{3}\\\\=3[/tex]
Possible
Hence minimum number of stamps is
[tex]=x+y\\\\=3+6\\\\=9[/tex]
PLEASE HELP!!!!
ILL MARK AS BRAINIEST!!!!
ANSWER HOW MUCH U CAN!!!
Answer:
1) C
2) B
3) D
4) A
5) B
Step-by-step explanation:
Hope this helps
MAy I get braineist pls???????????
Answer:
MARK ME AS BRAINLIEST!!!
Step-by-step explanation:
1. A
2. B
3. D
4. A
5. B
HAVE A NICE DAY!!!
:)
Is this correct check please
Answer:
its most likely CORRECT!
just have confidence that your answers are correct :)
Answer:
yes
Step-by-step explanation:
write an algebraic expression for the word expression.
the sum of 9 and a number x
Answer:
9 + x
Step-by-step explanation:
i think this is what you meant
Answer:
Write each phrase as an algebraic expression. In Example 2, each algebraic expression consisted of one number, one operation and one variable.
...
Algebraic Expressions With Example Problems and Interactive Exercises.
Phrase Expression
the sum of nine and a number x 9 + x
Step-by-step explanation:
Hopes this helps\
Mark as brainliest
Need some help with this one.
Answer:
y = -3x + 7
Step-by-step explanation:
Answer:
y = -3x + 7 (above)
Step-by-step explanation:
To add on, the person above me is correct. The equation of the line is in mx + b, where m is slope and b is the y-intercept.
We see the line intercepts the y axis at (0,7). Therefore the equation is y= mx +7
Now we look for m, the slope. If you may remember slope is also change in y over change in x, or rise/run. If you look at the graph, for each unit to the right, the line drops 3 units(it goes down, so negative). Therefore the slipe would be -3/1, or -3.
Plugging that in,
y = -3x + 7
1+12-9+23409-1238 -12313+122321