Answers
Step-by-step explanation:
we need to use pythagoras's theorem (reversed) in this situation. We know the hypotenuse and the lower line, so we can find the upright one. That will be the value of AD.
so we use 81 (9 squared) and 144 (12 squared)
let x be the upright line's length
144-81=x squared
63=x squared
find the square root of 63 and you can have your answer
Im not gonna do that for you because that's pretty easy
Related Questions
Write the slope-intercept form of the equation of the line through the given points.
through: (5,1) and (1, -3)
Answers
Answer:
y = x-4
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
= ( -3 -1)/( 1 - 5)
= -4/-4
= 1
Then using slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 1x+b
Substitute one of the points in
1 = 5 +b
1-5 = b
-4 =b
y = x-4
A garden table and a bench cost $935 combined. The garden table costs $85 more than the bench. What is the cost of the bench?
Answers
Answer:
The bench costs $425
And the Table costs $510
Step-by-step explanation:
table + bench = $ 935
$85 + 2b = $935
$935 - $ 85 = $ 850
$850/ 2 = 425 = b
Please help
a. Start with: 60
Rule: Increase by 20%
60 , 72, ?, ?, ?
Answers
Answer:
60, 72, 86.4, 103.68, 124.42
Step-by-step explanation:
How do I add 20% to a number?
Divide the original number by 100 to get 1% of it.
Multiply 1% by your desired percentage, in this case 20.
Add the product of the previous step to your original number.
Congratulate yourself on adding 20% to your number!
Answer:
60, 72, 86.4, 103.68, 124.416, ...Step-by-step explanation:
Given sequence:
60, 72, ...The rule is adding 20%
Adding 20% is converted to common ratio:
x + 20% =120% of x =1.2xThe sequence is the GP with common ratio of 1.2:
60, 72, 72*1.2= 86.4 , 72*1.2² = 103.68 , 72*1.2³ = 124.416Please help me with this!
Answers
Answer:
-6
Step-by-step explanation:
Help please it finding the area of a composite figure
Answers
Explanation: the answer is 468 because 6 times 6 times 13 equals 468. So that’s the area of the composite figure.
x + 5 = 17
×=____ help
Answers
Answer:
The answer is X=-2
Step-by-step explanation:
Subtract 5 from both sides
The five cancels itself out on the left side
X+5=17
-5 -5
x = -12
Answer:
12
Step-by-step explanation:
Move all terms not containing x to the right side of the equation. Hope this helped! :)
To travel to school, Gavin must walk to the bus stop. The bus trip covers
four times the distance that he walks. He then needs to walk 500 m to
school. If the school is 10 km away from Gavin's home, how far does he
walk to the bus stop?
Answers
Answer:
2,375 m
Step-by-step explanation:
The computation of the distance from his walk to the bus stop is given below:
Let us assume he walks be x
So the bus trip be 4x
4x + 500m
From Home to school, it would be 10km
As we know
1km = 1000m
So for 10km it would be = 10,000 m
4x + 500 m = 10,000 m
4x = 10,000 m - 500 m
4x = 9,500 m
x = 2,375 m
Select all the expressions that have a value of 40 when x = 10.8.
4,320 - X
288
+ 16
(x2 - 18) + 33.52
(1,752 + x) – 162
+ 36
12
Answers
Answer:
the third expression
Step-by-step explanation:
x=10.8
(x2 / 18) + 33.52
10.8 x 10.8=116.64
116.64 divide by 18=6.48
6.48 + 33.52=40
If you roll a fair 6 sided die and then roll a second fair what is the probability that you roll 1, 2, or 3 on the first die and roll 5 on second
Answers
Given:
A fair 6 sided die is rolled and then a second fair die is rolled.
To find:
The probability that you roll 1, 2, or 3 on the first die and roll 5 on second.
Solution:
If two fair die are rolled, then the total possible outcomes are
S= {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}
So, total outcomes = 36.
Favorable outcomes of getting 1, 2, or 3 on the first die and roll 5 on second are (1,5), (2,5), (3,5).
So, favorable outcomes = 3
We know that
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
[tex]\text{Probability}=\dfrac{3}{36}[/tex]
[tex]\text{Probability}=\dfrac{1}{12}[/tex]
Therefore, the required probability is [tex]\dfrac{1}{12}[/tex].
A ball is thrown straight up from the top of 128 foot building with an initial speed of 32 feet per second. How long will it take for the ball the hit the ground? How high will the ball be after 3 seconds?
Answers
So.... 32 x 3 = 96 ft
So.... 128 ft - 96 ft = 32 ft in 3 sec
So .... 128 ft /32 ft = 4 seconds to hit the ground
Define a variable for the unknown quantity below.
"the number of players on a football team who also have a job"
Answers
Step-by-step explanation:
Gladys blister is luggage
The distance traveled can be calculated using the formula D = s · t where s is the speed and t is the total time. Which of the situations below represent a total distance of 400 km? Select all that apply.
Answers
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]D = s.t[/tex]
Required
Which represents 400km
This question requires options. Since none were given, I will answer on a general term.
Situation 1:
s = 20km/h and t = 20h
[tex]D = s.t[/tex]
[tex]D = 20km/h * 20h[/tex]
[tex]D = 400km[/tex]
Situation 2:
s = 10km/h and t = 40h
[tex]D = s.t[/tex]
[tex]D = 10km/h * 40h[/tex]
[tex]D = 400km[/tex]
Situation 3:
s = 40km/h and t = 10h
[tex]D = s.t[/tex]
[tex]D = 40km/h * 10h[/tex]
[tex]D = 400km[/tex]
So, all you literally have to do is multiply the values of s and t. If the product gives 400, then; that situation is D = 400
Lin's father is paying for a $20 meal. A 7% sales tax is applied. What does Lin's father pay for the meal
Answers
Answer:
$21.40
Step-by-step explanation:
7% is equal to .07
multiply .07 times 20
=1.40
add the $1.40 sales tax to the meal price to get 21.40
5x – 2x = 12
How do I solve
Answers
Answer:
4
Step-by-step explanation:
Replace X with 4
(5*4)-(2*4) = 12
Answer:
x =4
Step-by-step explanation:
5x - 2x =12 (Subtract 5x - 2x and you'll get 3x)
3x = 12 (Now divide by 3 from both sides to get x)
x = 12/3 (Now that you got x, you want to simplify)
x = 4 (12 divided by 3 is 4)
Choose the multiplication equation that is related to the division equation eight divided by one fourth.
Question 21 options:
one twelfth multiplied by one fourth equals eight
one thirty second multiplied by one fourth equals eight
twelve multiplied by one fourth equals eight
thirty two multiplied by one fourth equals eight help
Answers
Answer:
thirty two multiplied by one fourth equals eight
Step-by-step explanation:
There are 42 girls and 56 boys who want to play a game. Each team will have both boys and girls on it. The ratio of boy to girls has to be the same for each team. Everyone must participate in the game. What is the greatest number of teams that can be formed?
Answers
Answer:
7 teams with 6 girls and 8 boys on each team
Step-by-step explanation:
Both 42 (girls) and 56 (boys) are divisible by 7 (getting 6 and 8).
Therefore, there would be 6 girls and 8 boys on each team.
The ratio would be 6 girls:8 boys per team.
Check:
6•7=42 ––(6 girls amongst 7 teams = 42 girls total)
8•7=56 ––(8 boys amongst 7 teams = 56 boys total)
Please help:
What are the solutions to the system of equations?
x^2 + y^2 = 5
y = 2x
The solution with the smaller x value is (?)
The solution with the larger x value is (?)
Answers
Answer:
(- 1, - 2 ) and (1, 2 )
Step-by-step explanation:
Given the 2 equations
x² + y² = 5 → (1)
y = 2x → (2)
Substitute y = 2x into (1)
x² + (2x)² = 5
x² + 4x² = 5
5x² = 5 ( divide both sides by 5 )
x² = 1 ( take the square root of both sides )
x = ± [tex]\sqrt{1}[/tex] = ± 1
Substitute these values into (2) for corresponding values of y
x = - 1 : y = 2(- 1) = - 2 ⇒ (- 1, - 2 )
x = 1 : y = 2(1) = 2 ⇒ (1, 2 )
The solution with smaller x- value is (- 1, - 2 )
The solution with the larger x value is (1, 2 )
Graph:
Y=X +3 squared -4
Answers
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
please help!!!!!!!!!!!!!!
Answers
Answer:
This function is exponential
Rosie has £m in her pocket she is given £4 pocket money write an expression for how much money she has now
Answers
Answer:
m+4
Step-by-step explanation:
She currently has a variable "m" in her pocket which we don't know, BUT we know how much she is getting, which is 4.
PLEASE HELP ME ILL MAKE BRAINLIEST
Answers
Answer:
y=-3
Step-by-step explanation:
The point Q(-6, 3) is reflected over the y-axis. What are the coordinates of the resulting
point, Q'?
Answers
Answer:
Q' = (6,3)
Step-by-step explanation:
You can think of this problem in two ways:
Graph:
I've shown my working for this, where I've counted how many units it takes to get from point Q to the axis through which im reflecting. There are 6 units between Q and the y axis, so naturally there should be 6 units between Q' and the y axis.
Coordinates:
Since this is a reflection through an axis, we can assume that the the x coordinate of point Q' will be equal and opposite to Q. Therefore, while the x coordinate of Q was -6, of Q' it's 6
Please help! i cant figure it out
Answers
Answer:
y = 3, y = - 1
Step-by-step explanation:
P is the centroid of the triangle.
Centroid of a triangle divides the median in the ratio 2 : 1
Therefore,
BP : PV = 2 : 1
[tex] \frac{BP}{ PV} = \frac{2}{1} \\ \\ \frac{ {y}^{2} + 1 }{y + 2} = \frac{2}{1} \\ \\ {y}^{2} + 1 = 2y + 4 \\ \\ {y}^{2} + 1 - 2y - 4 = 0 \\ \\ {y}^{2} - 2y - 3 = 0 \\ \\ {y}^{2} - 3y + y - 3 = 0 \\ \\ y(y - 3) + 1(y - 3) = 0 \\ \\ (y - 3)(y + 1) = 0 \\ \\ y - 3 = 0 \: \: or \: \: y + 1 = 0 \\ \\ y = 3, \: \: y = - 1 [/tex]
You deposit $800 in an account that pays 2.25% annual interest compounded continuously. About how long will it take for the balance to triple?
O 48.8 years
O 24 years
O 36 years
O 52.6 years
Answers
Answer:
48.8 years
Step-by-step explanation:
A=p(1+r/n)^nt
A= total amount
p= initial investment (800_
r/n= annual interest rate over number of years( 2.25)
t= number of years compounded ( annually , biannually, quarterly etc.)
48.8 years
Billy Bob bench presses 200 lbs. He wants to bench more than 300 lbs. If he improves by 20 lbs a month how long will it take him to bench over 300 lbs.
Write your answer like x>3 make sure you use the right sign.
WILL GIVE BRAINLIEST
Answers
it will take him 5 months
Find how much more he wants to bench:
300-200 = 100
He needs to increase by at least 100 pounds.
So 20 pounds per month has to be greater than 100 pounds.
20x > 100
Divide both sides by 20:
X > 5 months
Hi can someone please help me with this?
Answers
Hope this helped
helpppp! The function f(x) = 4(2) models the
length of an image in centimeters after it
has been enlarged by 100% x times.
Which of these is the length of the image
after it has been enlarged 3 times?
Answers
Answer:
after it has been enlarged 3 times
PLEASE HELPPPP DUE IN 2 minutes
Answers
Answer:
16
Step-by-step explanation:
because it is
Answer: 16
Step-by-step explanation: Here's a little tip for you. Any number can be converted to a fraction if you use 1 as the denominator:
64/1
So now that we've converted 64 into a fraction, to work out the answer, we put the fraction 1/4 side by side with our new fraction, 64/1 so that we can multiply those two fractions.
That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:
1x64/4x1 = 64/4
In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers:
The GCF of 64 and 4 is 4.
We can now divide both the new numerator and the denominator by 4 to simplify this fraction down to its lowest terms:
64/4 = 16
4/4 = 1
When we put that together, we can see that our complete answer is:
16/1
The complete and simplified answer to the question what is 1/4 of 64 is:
16
Hopefully, this tutorial has helped you to understand how to find the fraction of any whole number. You can now go give it a go with more numbers to practice your newfound fraction skills.
This Is My Most Complex Answer Yet, If I Helped, Please Mark Me As Brainliest, Have A Great Day :D
Which expression has a value that is 6 times the value of the expression 63 – 3y?
A. 6 X 63 - 3y
B. 63 - 3y + 6
C. 63+ (6 x 3y)
D. 6 X (63 - 3y)
o
Answers
Answer:
D. 6x(63-3y)
Step-by-step explanation:
You would be multiplying
Step-by-step explanation:
You want to be very carful with the parentheses for this question.
You want to find the equation that is 6 times the value of 63 - 3y, so you want to put the equation 63 - 3y in one big parentheses.
6 x (63 - 3y)
Someone please help and PLEASE make sure it’s right! Thank you!!! :)
Answers
Answer:
7
Step-by-step explanation:
i have checked, i have spoken