Answer:
6 m
Step-by-step explanation:
a squared + b squared = c squared
8 squared plus ? squared = 10 squared
64 + ? = 100
100 - 64 = 36
the square root of 36 is 6
Final answer:
Using the Pythagorean theorem, the length of the other leg of the right triangle is found to be 6 meters.
Explanation:
The student is asking to find the length of the other leg of a right triangle, given the lengths of the hypotenuse (10m) and one leg (8m). To solve this problem, we use the Pythagorean theorem, which relates the lengths of the sides of a right triangle: a² + b² = c², where c is the hypotenuse and a and b are the legs of the triangle. Since the hypotenuse length (c) is 10m and one leg (a) is 8m, we can solve for the length of the other leg (b) using the equation 8² + b² = 10².
First, square the known length of one leg: 8² = 64.
Next, square the hypotenuse: 10² = 100.
Now, subtract the squared length of the known leg from the squared hypotenuse to find b²: 100 - 64 = 36.
Finally, take the square root of 36 to find b: √36 = 6m. So, the length of the other leg is 6 meters.
What is the arc measure, in degrees, of AC on circle P below?
Answer:
174 degrees.
Step-by-step explanation:
Hope this helps!
Xerxes, Murray, Norah, Stav, Zeke, Cam, and Georgia are invited to a dinner party. They arrive in a random order and all arrive at different times. What is the probability that Xeres arrives first?
Answer in decimal form. Round to 3 decimal places as needed.
Answer:
0.143
Step-by-step explanation:
From counting principle, we can say that:
There are 7! ways of the 7 people to arrive first. Any one of them can come first. But, what is the probability that Xerxes with arrive first?
We take that Xerxes is the first one to arrive, then from the 7 - 1 = 6 remaining people, they can arrive in 6! ways. So
Probability Xerxes arrives first = 6!/7! = 0.1429
Rounding to 3 decimal places, it will be:
Probability Xerxes arrives first = 0.143
3) The algebraic process you use to isolate a variable in order to find what values, numbers, etc. will make an equation true. You _ _ _ _ _ the equation.
Answer:
You solve the equation.
Step-by-step explanation:
The process of finding variable values that make the equation true is called solving the equation.
8x-y=-6 2x-3y=4
Substitution ASAP
Answer:
down below
Step-by-step explanation:
Point Form:
(−1,−2)
Equation Form:
x=−1,y=−2
Answer:
(- 1; - 2)
Step-by-step explanation:
y = 6 + 8x
2x -3y = 4
2x - 3(6 + 8x) = 4
x = - 1
y = 6 + 8 × (- 1)
y = - 2
(- 1; - 2)
Laurie needs at least 40 pounds of topsoil for a new flower bed. Each bag of topsoil is 200 ounces. Laurie determines that if she buys 3 bags of topsoil she will have enough for the flower bed. Is Laurie correct? Why or why not?
A.Laurie is not correct because the weight of 1 bag of topsoil is equivalent to only 10 pounds.
B.Laurie is correct because 200 ounces is more than 40 pounds.
C.Laurie is correct because the weight of 3 bags of topsoil is exactly 40 pounds.
D.Laurie is not correct because the weight of 3 bags of topsoil is less than 40 pounds.
help i guess
Answer:
D
Step-by-step explanation:
I tried a it's not right sorry bro
Laurie is not correct because, the 3 bags of topsoil is less than 40 pounds. The correct option is - D.Laurie is not correct because the weight of 3 bags of topsoil is less than 40 pounds.
Weight & ConversionFrom the question, we are to determine if Larie is correct or not
From the given information,
Laurie needs at least 40 pounds of topsoil.
Then,
If she buys 3 bags of topsoil that weigh 200 ounces each, she will get 600 ounces of topsoil.
Now, convert 600 ounces to pounds
NOTE: 16 ounces = 1 pound
Then,
600 ounces = (600/16) pounds
600 ounces = 37.5 pounds
Hence, the 3 bags of topsoil will weigh 37.5 pounds of topsoil.
Since, Laurie needs at least 40 pounds of topsoil, then Laurie is not correct because, the 3 bags of topsoil is less than 40 pounds. The correct option is - D.Laurie is not correct because the weight of 3 bags of topsoil is less than 40 pounds.
Learn more on Weight & Conversion here: https://brainly.com/question/11307613
A private club was reduced by 27 members in 3 weeks. Its size changed by the same number of members each week. What was the change in the club's size each week?
Final answer:
The club's size decreased by a total of 27 members over 3 weeks. By dividing 27 by 3, we find that the size changed by 9 members each week.
Explanation:
The question asks about a private club which lost 27 members over the course of 3 weeks, with an equal number of members leaving each week. To find the change in the club's size each week, we divide the total number of members who left by the number of weeks. This calculation is done by taking the total decrease in members, which is 27, and dividing it by the 3 weeks.
Identify the total decrease in members: 27.
Identify the total number of weeks: 3.
Divide the total decrease in members by the number of weeks: 27 members ÷ 3 weeks = 9 members per week.
Therefore, the club's size changed by 9 members each week.
What does the line on the bottom of the following signs mean? ≥ ≤
Answer:
Step-by-step explanation:
Equal to or less than
Answer: I hope this helps. Mark me brainlist
Step-by-step explanation:
The symbol ≤ means less than or equal to. The symbol ≥ means greater than or equal to.The notation a ≤ b or a ⩽ b means that a is less than or equal to b (or, equivalently, at most b, or not greater than b). The notation a ≥ b or a ⩾ b means that a is greater than or equal to b (or, equivalently, at least b, or not less than b).The five inequality symbols in Maths are greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), and not equal to symbol (≠).
There are two approaches to solving the equation -3x + 10 = 4x - 20
Subtract 4x from both sides. OR Add 3x to both sides.
-7x + 10 = –20 OR 10 = 7x - 20
Solve the equation using both approaches.
What is the solution?
Answer:
You can take this equation into two approaches.
#1 subtracting 4x from both sides:
-3x+10=4x-20 (subtract 4x from each side)
-7x+10=-20 (then subtract 10 from each side)
-7x=-30 (then divide by -7 to get x by itself)
x=30/7
#2 Add 3x to both sides:
-3x+10=4x-20 (Add 3x to both sides)
10=7x-20 (then add 20 to each side)
30=7x (divide both sides by 7)
30/7=x
Either way you do it you will get x=30/7 as your answer.
Hope this helps ;)
Answer:letter c x=30/7
Step-by-step explanation:
Which of these values cannot represent the probility of an event happening? 0.33 56% 7/8 1.2
Answer:
1.2
Step-by-step explanation:
Because the probability cannot be over 1 (assuming 1 is 100%) you can't have a 120% chance.
1.2 Answer:
dont thank me thank other guy Step-by-step explanation:
I need help finding X please
Hello
This is a right angle as you can see by the small square at the bottom. So this means that it is 90 degrees.
Because we already know part of the 90 degrees, we can do 90-50 degree which leave us with 40 degrees.
So as we look at 8x, it needs to equal 40
- 8x=40 divide both sides by 8
- x=5
Hope this helps!
Elroy and Rose are at Schematic to buy a school planner. There are 333 colors (purple, red, and blue) and 222 formats (lined and unlined) offered. They each created a display to represent the sample space of randomly picking a color and a format.
Whose display correctly represents the sample space?
Answer:
Both of them
Step-by-step explanation:
Answer:
Both of them
Step-by-step explanation:
Solve for x.
9x - 1 = -11
Answer:
X=-1.1 repeated
Step-by-step explanation:
9x - 1= -11
+1= +1
9x = -10
Divide by 9 on both sides
X = -1.1 repeating
Answer:
- 1 1/9
Step-by-step explanation:
9x - 1 = -11
Add 1 to both sides to eliminate -1 on the left side
9x - 1 + 1 = -11 + 1
9x = -10
Divide both sides by 9 to isolate x
9x/9 = -10/9
x = - 1 1/9
how many different teams containing 5 members each can be formed from a group of 9 players
Answer:
1 team with 4 extra people
Step-by-step explanation:
Final answer:
126 different teams can be formed from a group of 9 players.
Explanation:
To determine how many different teams containing 5 members each can be formed from a group of 9 players, we use the concept of combinations in mathematics.
The number of combinations is given by the formula for n choose r (nCr), which is n! / (r! * (n-r)!),
where
n is the total number of items to choose from,
r is the number of items to be chosen, and
! denotes factorial.
In this case, n=9 and r=5.
Thus, using the combinations formula, we get:
9C5 = 9! / (5! * (9-5)!)
= 9! / (5! * 4!)
= (9 * 8 * 7 * 6) / (4 * 3 * 2 * 1)
= 126 different teams.
Therefore, 126 different teams can be formed from a group of 9 players.
Determine the volume of this prism.
Answer:
54 in cubed.
Step-by-step explanation:
Area of the base trapezoid 18 inches. Times the height of the prism so 3. So 18 times 3 is 54, Hope this helps!
Kesha threw her baton up in the air from the marching band platform during practice. The equation h(t) = −16t² + 54t + 40 gives the height of the baton, in feet, t seconds after it is thrown from the platform. What is the height of the platform? At what speed was the baton thrown? If she doesn't catch it, when will it hit the ground?
Answer:
(a)Height of the platform=40 feet
(b)Initial Velocity=54 ft/sec
(c)4 seconds
Step-by-step explanation:
The equation [tex]h(t) = -16t\² + 54t + 40[/tex] gives the height of the baton, in feet, t seconds after it is thrown from the platform.
(a)Height of the platform
The Height of the platform is the height at which t=0
[tex]h(0) = -16(0)\² + 54(0) + 40[/tex]
Height of the platform=40 feet
(b)To determine the speed at which the baton was thrown, we find the velocity, v(t).
[tex]v(t)=\frac{dh}{dt} =\frac{d}{dt} (-16t\² + 54t + 40)=-32t+54\\$At t=0\\v(0)=-32(0)+54=54 feet/sec[/tex]
(c)The baton will hit the ground when its height, h(t)=0
[tex]-16t\² + 54t + 40=0\\\text{Solving the quadratic formular}\\t = \frac{-54\pm \sqrt{(-54)^2 - 4*40*(-16)} }{2*-16}\\= \frac{-54\pm \sqrt{5476 }}{-32}\\= \frac{-54\pm 74}{-32}\\t=\frac{-54+ 74}{-32},\frac{-54- 74}{-32}\\t=-0.625\:or \:t=4[/tex]
Since -0.625 is not valid, the baton will hit the ground 4 seconds after it is thrown.
what is the median value of data set shown on the line plot?
enter your answer in the box
Answer:
A Median is the middle data value of an ordered data set, so, that leads me to believe that the answer is 6
Hope this helps!!
Have a nice day :)
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
What are all of the keys that must be pressed, in correct
order, on the calculator shown to find the value of 6,704 x 9?
1.) 6704*9
2.) 6.704*9
3.) C6704*9
4.) C6.704*9
The following histogram summarizes the number of points Nate has scored each game this season.
Answer:8/25
Step-by-step explanation:
Answer:
[tex]\frac{8}{25}[/tex]
Step-by-step explanation:
Experimental probability = Number of favorable outcomes / Total number of outcomes
Number of favorable outcomes = [tex]8[/tex]
Total number of outcomes = [tex]3+5+8+6+2+1 = 25[/tex]
The probability that Nate scores [tex]8-11[/tex] points next basketball game is [tex]\frac{8}{25}[/tex].
Line ABC is a straight line.
Line A B is a straight line. Line B comes out of the line to form angles 1 and 2.
Which describes the relationship between Angle 1 and Angle 2?
Angle 1 and Angle 2 are complementary angles.
Angle 1 and Angle 2 are supplementary angles.
Angle 1 and Angle 2 are vertical angles.
Angle 1 and Angle 2 are acute angles.
Answer:
B: supplementry angles
Step-by-step explanation:
Answer: Angle 1 and Angle 2 are supplementary angles.
Step-by-step explanation:
7x+11x
12y-5y+19
3t+6z-4t+9z+z
19mn+6x^2+2nm
5x+3(x+1)+2x-9
Simplify each expression
Answer:
18 x
7 y+19
-t+16 z
6 x^2 +21 m n
10 x - 6
Step-by-step explanation:
Add the coefficients
Subtract the coefficients
Combine like terms
Combing like terms
Distribute the three into the parenthesis then combine the like terms.
Look at the attached picture ⤴
Hope it will help u........
What number added to -31 results in a sum of O?
Answer:
31
Step-by-step explanation:
thats the absolute value
eight and eleven hundredths as a decimal
Answer:
this is your answer 8.110
Answer:
8.11
Step-by-step explanation:
is a whole number so it goes in front of the decimal points. eleven hundredths could be written as .110 or.11
Laura mowed 8 lawns. She earned $12, $10, $15, $15, $15, $10, and $9 for seven lawns. How much did she earn the eighth time if the mean of the data is $12? *
Answer:
She earned $10 for mowing the 8th lawn.
Step-by-step explanation:
Let's use the average formula and n = 8, with x representing the 8th score:
12 + 10 + 15 + 15 + 15 + 10 + 9 + x
average = 12 = -------------------------------------------------
8
86 + x
Summing up the numerator, we get average = ----------- = 12
8
Multiplying both sides by 8 yields 86 + x = 96
Solving for x, we get x = 10.
She earned $10 for mowing the 8th lawn.
Answer:
She earned $10 for the eighth yard.
Step-by-step explanation:
You have 7 known numbers and 1 unknown giving you a total of 8 numbers. When doing mean, you add up all the numbers and divide by the amount of numbers you have (in this case 8). If you add all the numbers in this particular data set you get 86. You know that you have to divide by 8 and you need 12 to be the answer. Using multiplication facts, we know that 96 divided by 8 is equal to 12. That means the answer must be 10 for the eighth yard because 86+10=96.
Ruth Brown wants to borrow $2,600 for 90 days to pay her real estate tax. State Savings
and Loan charges 7.25% ordinary interest while Security Bank charges 7.5 % exact
interest.
(a) What is the interest of each loan?
(b) What is the maturity value of each loan?
(c) What is the maturity value of the loan if it has an ordinary interest?
(d) What is the maturity value of the loan if it has an exact interest?
(e) Where should they borrow the money?
Final answer:
To find the interest and maturity value of each loan, we can use the formula. For State Savings and Loans, the interest is $50.23 and the maturity value is $2,650.23. For Security Bank, the interest is $53.36 and the maturity value is $2,653.36. They should borrow the money from State Savings and Loans as it offers a lower interest rate and a slightly lower maturity value.
Explanation:
To find the interest and maturity value of each loan, we can use the formula:
Interest = Principal * Rate * Time
Maturity Value = Principal + Interest
(a) For State Savings and Loan, the interest is calculated as:
Interest = $2,600 * 0.0725 * (90/365) = $50.23
The maturity value is:
Maturity Value = $2,600 + $50.23 = $2,650.23
For Security Bank, the interest is calculated as:
Interest = $2,600 * 0.075 * (90/365) = $53.36
The maturity value is:
Maturity Value = $2,600 + $53.36 = $2,653.36
(b) The maturity value of each loan is $2,650.23 for State Savings and Loan and $2,653.36 for Security Bank.
(c) If the loan has ordinary interest, the maturity value is the same as in part (b) for each loan.
(d) If the loan has exact interest, the maturity value is the same as in part (b) for each loan.
(e) They should borrow the money from State Savings and Loan as it offers a lower interest rate and a slightly lower maturity value.
Solve by using Pythagorean Theorem, a= 5, b= x-1, and c=x
The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.
Step-by-step explanation:
The given is,
a = 5
b = x - 1
c = x
Step:1
Pythagorean theorem is,
[tex]a^{2} + b^{2} = c^{2}[/tex]................................(1)
( It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides )
From the given values the equation (1) becomes,
[tex]5^{2} + (x-1) ^{2} = x^{2}[/tex]
( [tex](a-b)^{2} = a^{2} + b^{2} -2ab[/tex] )
25 + ( [tex]x^{2}[/tex] + 1 - 2x ) = [tex]x^{2}[/tex]
25 + 1 -2x = 0 ( ∵ Eliminate [tex]x^{2}[/tex] in both sides)
26 = 2x
x = 13
Step:2
From the values of x,
a = 5
b = ( 13 - 1 ) = 12
c = 13
Result:
The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.
Ryan gets off the bus at 4: 09 PM. He rides the bus for 17 minutes to get home from school. At what time does Ryan get on the bus?
which equation represents a circle with a center at (-3,5) and a radius of 6 units
Answer:
(x+3)^2 +(y-5)^2 = 36
Step-by-step explanation:
We can write the equation of a circle as
(x-h)^2 +(y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x- -3)^2 +(y-5)^2 = 6^2
(x+3)^2 +(y-5)^2 = 36
Milan runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes?
Answer: 4.8 miles
Step-by-step explanation:
6/55 = x/44
55x = 6(44)
55x = 264
x = 264/55 = 4.8 miles
40% of a number is 38 what is the number
Answer:
15.2
Step-by-step explanation:
Answer:
95
Step-by-step explanation:
38/2 = 19 = 20% x 5 = 100%
Which of these equations has a y-intercept of 4?
A. y=x+4
B. y=x-4
C. y=4x
D. y+4=x
Answer:
A
Step-by-step explanation:
Since A is already in slope intercept form, we know that the b value is already in the correct place.
y = mx + b
In slope intercept form, the b is the y int.
Thank me later :)
Answer:
Option A, y = x + 4
Step-by-step explanation:
Step 1: Determine which option is correct
y = mx + b
m is the slope while b is the y-int
So... the equation with a 4 for b should be the correct answer.
Option A states the following: y = x + 4
This shows that the y-int is 4 and the slope is 1. So, this answer is correct.
Answer: Option A, y = x + 4