Answer:
a
Step-by-step explanation:
b+8=13.
first,you have to make b the subject of the formula (stand alone) and for that to happen +8 will have to cross the equality sign.when a positive sign crosses over the equality sign it changes to a negative sign.
so that would be b=13-8
Therefore,b=5(a)
The height of trapezoid VWXZ is units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle theorem to find the length of YX.
What is the length of the lower base, ZX?
14 units
units
18 units
units
Answer:
18units
Question:
The complete question as seen from other website is stated below:
The height of trapezoid VWXZ is 8(square 3) units. The upper base,VW, measures 10 units. Use the 30°-60°-90° triangle theorem to find the length of YX.
What is the length of the lower base, ZX?
Step-by-step explanation:
VW = 10units
WY = 8√3
XY = ?
ZX = ?
Find attached the diagram obtained from the information (1st image).
To determine XY, we would apply the tangent ratio.
Tan 60 = opposite/adjacent
Tan60 = (8√3)/XY
XY = (8√3)/ Tan60
In a 30°-60°-90° triangle theorem:
Find attached the diagram (2nd image)
Tan 60 = opposite/adjacent
Tan 60 = √3/1
Tan60= √3
XY = (8√3)/ Tan60
XY = (8√3)/√3
XY = 8units
ZX = ZY + XY
VW = ZY = 10units (the breadth of rectangle are equal)
ZX = 10 + 8
ZX = 18 units
A school band decides to hold a bake sale to raise money. They withdrew $50 from the band's account for ingredients. The deposit they made back into the account from the sale was $140. What was the overall increase or decrease in the band's account?
Answer:
90
Step-by-step explanation:
140-50
this is because the band took 50 and got 140 to remove 50 from 140
Please help! Correct answer only!
In a carnival game, there is a machine that will shuffle a deck of 50 cards numbered from 1 to 50 and then spit one card out. If the number on the card is odd, you win $15. If the number on the card is even, you win nothing. If you play the game, what is the expected payoff?
$___
Answer:
$1.80
Step-by-step explanation:
(190+120+90+50)/250= a total expected payoff of 1.8 dollars. Hope this helps!
What are the long-term and short-term effects of a father's death at age 13?
Answer:
I'm 13 so I'll be able to imagine this.
Step-by-step explanation:
-depression
-worry of afterlife
-insecurity
-increased fear of losing other family members
-untrust
-just general sadness
-feeling like it is your fault/blaming yourself
Yuri is thinking of a 4-digit whole number. He rounds his number to the nearest thousand. His answer is 4000, what is the smallest number yuri could be thinking of?
Answer:
Smallest number = 3500
Step-by-step explanation:
Rounding of numbers involve replacing numbers with simpler numbers. In order to round a number to the nearest thousand, the last 3 digits of the number should be considered. If the last 3 digits are less than 500, the number is rounded down(the thousand figure is unaffected), but if the last 3 digits are greater or equal to 500, the number is rounded up.
In this case, Yuri is thinking of a 4-digit whole number and he rounds his number to the nearest thousand. Since his answer is 4000, the smallest number yuri could be thinking of would be 3500 and the highest number he could be thinking of is 4499.
Thus, the smallest number Yuri could be thinking of is 3500
Please help! Correct answers only!
Out of 100 tickets in a raffle, one ticket will win a $150 prize, one ticket will win a $130 prize, one ticket will win a $110 prize, and one ticket will win a $40 prize. The rest will win nothing. If you have a ticket, what is the expected payoff?
Answer:
" Expected Payoff " = $ 4.30
Step-by-step explanation:
Consider the steps below;
[tex]Probability of Winning the 150 Dollar Prize - 1 / 100,\\Probability * Money Won = " Expected Payoff " For The 150 Dollar Prize,\\\\1 / 100 * 150,\\" Expected Payoff " - 1.5 Dollars,\\\\Probability of Winning the 130 Dollar Prize - 1 / 100,\\\\1 / 100 * 130,\\" Expected Payoff " - 1.3 Dollars,\\\\Probability of Winning the 110 Dollar Prize - 1 / 100,\\\\1 / 100 * 110,\\" Expected Payoff " - 1.1 Dollars,\\\\Probability of Winning the 40 Dollar Prize - 1 / 100,\\\\[/tex]
[tex]1 / 100 * 40,\\" Expected Payoff " - 0.4 Dollars,\\\\Conclusion ; " Expected Payoff " = 1.5 + 1.3 + 1.1 + 0.4 = 4.30 Dollars[/tex]
Solution ; " Expected Payoff " = $ 4.30
Make a table as shown in the diagram below. X represents the winnings, P(X) is the probability of getting such winnings. The third column X*P(X) represents the product of the first two columns. After you figure out every value in the third column, you add everything up to get the final answer.
How do I find the area of this kite?
Answer:
85 square units
Step-by-step explanation:
The area of a kite is half of the product of the diagonals.
The left half of the horizontal diagonal is labeled 5, so the entire horizontal diagonal measures 10.
Now we need to find the length of the vertical diagonal.
The vertical diagonal is made up of two segments. Each segment is a leg in a right triangle. We can use the Pythagorean theorem twice to find the lengths of the two segments of the vertical diagonal.
Upper vertical segment:
a^2 + b^2 = c^2
5^2 + x^2 = [5sqrt(2)]^2
25 + x^2 = 50
x^2 = 25
x = 5
The upper segment of the vertical diagonal has length 5.
Lower vertical segment:
a^2 + b^2 = c^2
5^2 + x^2 = 13^2
25 + x^2 = 169
x^2 = 144
x = 12
The lower segment of the vertical diagonal has length 12.
The length of the vertical diagonal is the sum of the lengths of the two vertical segments:
5 + 12 = 17
The diagonals of the kite measure 1`0 and 17.
area = d1 * d2/2
area = 10 * 17/2 = 170/2 = 85
A college's lacrosse team will play 22 games next spring. Each game can result in one of 2 outcomes: a win or a loss. Find the total
possible number of outcomes for the season record.
Answer: 44 possible outcomes
Step-by-step explanation:
Multiply the number of games by the number of outcomes to find how many possibilities.
22 games * 2 outcomes = 44 possibilities
Interpreting the situation, it is found that there are 23 possible outcomes for the season record.
For each game, there are two possible outcomes.
Hence, if the team plays 1 game, there are two possible outcomes, 0 wins or 1 win.If the team plays 2 games, there are three possible outcomes, 0 wins, 1 win or 2 wins.The same is valid for 3 games, the team can win 0, 1, 2 or 3 games.Hence, for n games, there are n+1 outcomes.In this problem, there are 22 games, hence 23 possible outcomes.
A similar problem is given at https://brainly.com/question/18599661
Find the equation of a line parallel to y = 2x + 4 that goes through the point (2,5)
Answer:
y= 2x+1
Step-by-step explanation:
Line parallel to y = 2x + 4
And that goes through the point (2,5)
-----------
Parallel lines have equal slope, so it will be in the form of y= 2x+b
Let's find the value of y-intercept (b) by using the given point:
5= 2*2+bb= 5-4b= 1So the line is: y= 2x+1
The 3rd and 6th term of a
linear sequence are 16 and
34 respectively. Find the
sum of the first six terms.
Answer:
hope this helps
what is the slope and y-intercept of the following equation 3x + 2y = -6
Answer:
The slope is -1.5x and the y-intercept is -3
Step-by-step explanation:
First person to give me Brainliest wins the official contest!!! Hurry!
A coordinate plane with a line drawn passing through the points (0, 3) and (1,1). Which equation represents the graphed function? A coordinate plane y = –2x + 3 y = 2x + 3 y = x + 3 y = –x + 3
Answer:
the answer is A. y=-2x+3
i hope this helps
1. A system of equations is shown below. Find the solution by using substitution.
y = 3x - 2
y = x + 2
Answer:
x = 2
y = 4
or (2 , 4)
Step-by-step explanation:
Since both equations are equal to y we can substitute one of the equations to fill in the spot of y so that both equations are equal to each other with no y variable.
[tex]3x-2 = x+2\\[/tex]
Now we can solve x.
[tex]3x= x+4\\[/tex]
[tex]2x = 4\\[/tex]
x = 2
Now that we have solved for one variable we can plug this back into either equation and solve for y.
[tex]y = 2 + 2\\[/tex]
y = 4
Pls select the correct answer
Answer:
B
Step-by-step explanation:
Rent paid by Julie = (1/3) of 3000
[tex]=\frac{1}{3}*3000\\\\=1*1000[/tex]
= £ 1000
Remaining amount after paying rent = 3000 - 1000 = £ 2000
Expenses : Savings = 7 : 3
Total part = 7 + 3 = 10
Saving part = 3/10
Amount saved = (3/10) of 2000
[tex]=\frac{3}{10}*2000\\\\=3*200[/tex]
= £ 600
Answer:
B
Step-by-step explanation:
one third of £3000 = £3000 ÷ 3 = £1000
£3000 - £1000 = £2000 ← amount left after paying rent
Add the parts of the ratio, 7 + 3 = 10 parts
Divide the amount left by 10 to find the value of one part of the ratio
£2000 ÷ 10 = £200 ← value of 1 part of the ratio, thus
3 × £200 = £600
Julie saves £600 each month
Segment AC bisects angle BAD if the measure of angle BAC is 20 degrees what’s is the measure of angle BAD
Answer:
40°
Step-by-step explanation:
An angle bisector divides an angle into 2 equal angles. 20° x 2 = 40°.
Draw a diagram for (x+2)(x+4)
Answer:
Download this mm file
Galina was correct when she said: it is 10 times the number of outcomes/there are 2 possible outcomes. Elroy was correct when he said: the outcome of each flip is 1/2/multiply the 10 outcomes. A coin is tossed eight times and outcomes are recorded.
Answer:
I believe that the answer is
Galina was correct when she said: there are 2 possible outcomes.
Elroy was correct when he said: multiply the 10 outcomes
Step-by-step explanation:
I looked this up and found that when you flip a coin 10 times you get 2^10 = 1024 but including other possibilities there are only 1000 combinations. Meaning that there are 2 possible outcomes for every coin flip and in order to find those combinations you have to multiply 2 to itself for however many times you were to flip a coin.
For Example: Flip a coin 3 times there are 2 possibilities for every time you flip it. So the answer would be 2*2*2=8 combinations.
I hope this helps. :)
The answer is correct that
Galina was correct when she said: there are 2 possible outcomes.
Elroy was correct when he said: multiply the 10 outcomes by 1/2
What is Combination ?A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.
As the coin is flipped 10 times and there are to possible outcomes of coin head and tail.
So, [tex]2^{10}[/tex] = 1024
In order to find the combination we have to multiply the number 2 to the number itself or raise the power of 2 to the number of times we have flipped the coin.
Let us take a case,
If we have flipped a coin 5 times and there are only two possibilities.
The answer will be= [tex]2^{5} or 2*2*2*2*2*2[/tex] = 32 combination.
Learn more about Combination here:
https://brainly.com/question/8523021
#SPJ4
4. A school has 100 windows. On a cool day 95 of the windows were closed. Which decimal represents the amount of windows that were OPEN?
Answer:
0.05
Step-by-step explanation:
100 windows is 1.00
95 windows is 0.95
5 = 0.05
Write 240 as a product of primes. Use index notation where appropriate.
Answer:
2^4x3x5
Step-by-step explanation:
240=2x120
120=2x60
60=2x30
30=2x15
15=3x5
Triangle XYZ is translated by the rule [x+1, y-1] Ian been dilated by scale factor of 4 centered at the origin. Which statement describes the properties triangles XYZ and X’’Y’’Z” after the transformations?
Answer:
D) Segment YZ and segment Y"Z" are proportional after the dilation and congruent after the translation.
Step-by-step explanation:
After a dilation, a figure remains proportional because its angles and betweenness of points remain the same. After a translation, the image stays congruent to the pre-image.
2/3(1+n)=-1/2n solve for n
Answer:
[tex]n = - \frac{21}{12} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Answer:
-4/7
Step-by-step explanation:
2/3(1+n)= -1/2n ======= × 6 both sides
4(1+n)= -3n
4+4n= -3n
-7n=4
n= -4/7
Ken flips 2 fair coins. What is the probability of obtaining the same result on each coin?
Which complex fraction is equal to 2/3?
4/3/8/3
5/6/3/4
3/4/9/8
3/5/2/5
What is the solution to the equation - 4 = 6?
A. x = 5
B. x = 1
C. x = 20
D. x = 10
Tysvm if you answer!
11.A bus is going with speed of
18 m/s and suddenly bus driver
applied a break and it takes 3
second to stop completely.
Find out the value of
acceleration. *
Answer:
Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me...
Answer:
-6m/s^2
Step-by-step explanation:
State your knowns
s=Not required
u=18m/s
v=0m/s
a=?
t=3 seconds
(by the way this is more a physics question)
Find an applicable suvat equation
v=u+at
Rearrange the equation
v-u=at
(v-u)/t=a
Substitute values
(0-18)/3=a
Evaluate
a=-6
State the answer
The value of acceleration is -6m/s^2
You are in the process of making ice cream. The recipe says heat all ingredients to 50C and cools it for 5 hours in a freezer. If the cooling rate of the freezer is 12C per hour. What will be the temperature of the mixture after 5 hours?
Answer:
-10C
Step-by-step explanation;
The mixture is 50C and the freezer cools at 12C per hour which means in 5 hours the temperature of the mixture would have decreased by 60C because 12C * 5 hrs is 60C. You then do the math;
50C - 60C = -10C
Which of these is an example of a literal equation?
A. 12 = 9 + 3x
B. 6 + 30 = 62
C. ax - by = k
D. 3x - 4y
If f(x)=3x^2+1 and g(x)=1-x what js the value of (f-g)(2)?
Answer:
14.
Step-by-step explanation:
Simplify:
f(x)-g(x)
3x^2+1 - (1-x)
3x^2+ x
Solve:
(f-g)(2)
3(2)^2 + 2= 3*4+2
= 14
What is the average rate of change for this exponential function for the
interval from x = 2 to x = 4?
it is two i think. hope i could help
Which are the side lengths of a right triangle? Check all that apply.
3, 14, and 205
6, 11, and 158
19, 180, and 181
O 3, 19, and 380
2, 9, and 185
Answer: 19, 180, 181
Step-by-step explanation:
a^2 + b^2 = c^2
19^2 = 361
180^2 = 32,400
32,400 + 361 = 32,761
Square root of 32,761 = 181
Answer:
19,180,181
Step-by-step explanation:
I'm not rlly sure how to explain but I hope this helps though..!
