Complete Question:
The area of a trapezium is 400 cm2, the distance between the parallel sides is 16 cm. If one of the parallel sides is 20 cm, then the length of the other side is ______
Answer:
[tex]Side\ 2 = 30cm[/tex]
Step-by-step explanation:
Given
[tex]A= 400cm^2[/tex] --- Area
[tex]h = 16cm[/tex] --- Height
[tex]Side\ 1=20cm[/tex]
Required
The length of the other side (Side 2)
The area of a trapezium is:
[tex]A = \frac{1}{2}(Side\ 1 + Side\ 2) * h[/tex]
[tex]400 = \frac{1}{2}(20 + Side\ 2) * 16[/tex]
[tex]400 = (20 + Side\ 2) * 8[/tex]
Divide both sides by 8
[tex]50 = 20 + Side\ 2[/tex]
Collect Like Terms
[tex]Side\ 2 = 50 - 20[/tex]
[tex]Side\ 2 = 30cm[/tex]
Can anyone help me with my homework
Step-by-step explanation:
1 = (-2,3)
2= (1,2)
3= (4,1)
4= (3,-3)
What's the point of putting parentheses in math problems. For example: (3 x 4) - (4 + 4) =
Answer:
idc
Step-by-step explanation:
A grain of sand with a diameter of
0.06 millimeter has a mass of approximately
3.0 x 10^-13 gram. How is the mass of a grain
of sand expressed using standard notation?
Answer:
B) 0.0000000000003
Step-by-step explanation:
Hope this helps.
I need help what is the answer plz
Answer:
-2.25
Step-by-step explanation:
Since there are 4 ticks between 2 numbers, we do 1/4 = 0.25
Now we find the value:
-2.25
NEED HELP ASAP!! WILL MARK BRAINLIEST! ANSWER IN THIS FORMAT:
Part A:
Part B:
Part C:
Photo attached below
Answer:
Part A: Function typeCar 1 . Exponential function
The value ratios are constant:
40500/45000 = 36450/4050 = 32805 /36450= 0.9Car2. Linear function
The value differences are constant:
45000 - 42000 = 42000 - 39000 = 39000 - 36000 = 3000Part B: EquationsCar 1
f(x) = 45000*0.9ˣCar 2
f(x) = 45000 - 3000xPart C: Value after 13 yearsCar 1
f(13) = 45000*0.9¹³ = $11438Car 2
f(13) = 45000 - 3000*13 = $6000Car 1 will have a greater price
Maria has 6 ⅛ cups of flour, but only needs 4 ¼ cups for her recipe. How much will she have left?
What is the median of the data set?
WHAT IS MEDIAN OF THE FOLLOWING SET WILL MARK BRAINLIEST
6
5
5.5
4
Answer:
5.5 is the median
Step-by-step explanation:
Answer:
5.5 is the answer ;)
Step-by-step explanation:
5.3.18 From Exercise 5.2.19, recall the results from a 2013 Gallup poll that asked randomly selected U.S. adults whether they wanted to stay at their current body weight or change. Of the 562 men surveyed, 242 wanted to stay at their current weight, whereas of the 477 women surveyed, 172 wanted to stay at their current weight. Define (in words) the parameters of interest of this study. Also, assign symbols to the parameters. State the appropriate null and alternative hypotheses in words. State the appropriate null and alternative hypotheses in symbols. Explain why it is valid to use the theory-based approach to test the hypotheses stated above. Use an appropriate applet to find a theory-based p-value to test the above hypotheses. Report the standardized statistic as well as the p-value. Use an appropriate applet to find a theory-based 95% confidence interval and interpret the resulting interval in the context of the study. Based on your findings, state a complete conclusion about the study. Be sure to address significance, estimation (confidence interval), causation, and generalization.
Answer:
only 5 points ;(
Step-by-step explanation:
Select all the expressions that are equivalent to -2(5x - 1) + 7(5x - 1) - 3(-5x + 1)
A. -2(5x - 1) + 7(5x - 1) - 37-5x-1)
B. (5x-1) (2 + 7-3)
C. (5x-1) (-2+ 7 + 3)
D. 40x - 8
E 10x + 2
Answer:
D. 40x - 8
C. (5x-1)(-2+7+3)
----------------------------------------------
-2(5x - 1) + 7(5x - 1) - 3(-5x + 1)
= -10x + 2 + 35x - 7 +15x - 3
= -10x - 35x +15x + 2 - 7 - 3
= 40x - 8
D. is correct.
----------------------------------------------
(5x-1)(-2 + 7 + 3)
= -10x + 2 + 35x - 7 +15x - 3
= 10x - 35x +15x + 2 - 7 - 3
= 40x -8
which is as same as the answer choice D. and the answer you get from solving the -2(5x - 1) + 7(5x - 1) - 3(-5x + 1), so
C. is correct, too
-------------------------------------------------
There seems to be a typo in answer choice A. so I cannot determine if A is also correct or not...
Damien needs to order more pill containers for the pharmacy. Currently, there are 156 8-dram bottles, 78 20-dram bottles, and 132 30-dram bottles. All the bottles come in cases of 140 bottles. The pharmacist wants all stocks to be replenished so that there are at least 400 of each bottle type. How many cases of each bottle type does Damien need to order
Answer:
for 8 gram bottle = 2 cases
for 20 gram bottle = 3 cases
for 30 gram bottles = 2 cases
Step-by-step explanation:
Determine how many cases of each bottle type Damien needs to order
i) For 8-gram bottles
available bottles = 156
required amount ≥ 400
extra bottles to be ordered = 400 - 156 = 244 bottles
since case contains 140 bottles , the number of cases to be ordered
= 244 / 140 = 1.74 cases ≈ 2 cases
ii) for 20 gram bottles
available bottles = 78
required amount ≥ 400
Extra bottles to be ordered = 400 - 78 = 322 bottles
therefore the number of cases = 322 / 140 = 2.3 cases ≈ 3 cases
iii) For 30 gram bottles
available bottles = 132
required amount ≥ 400
Extra bottles to be ordered = 400 - 132 = 268
therefore the number of cases = 268 / 140 = 1.9 ≈ 2 cases
Refer to Exhibit 4-8. If the wheat market is in competitive equilibrium the producers’ surplus will equal Group of answer choices
area 1 + 2 + 3
area 1 + 2 + 4
area 3 + 5
area 1 + 2 + 3 + 4 + 5
area 6
Answer:
area 1
Step-by-step explanation:
what is the area of the triangle shown ?
A. 12in
B. 24in
C. 36in
D. 48in
Answer:
B 24 inches
hope this helps UwU
How do I convert 83, 000, 000 to a scientific notion?
Answer:
Scientific notion: 83M meanin million
Answer:
[tex]8.3[/tex] x [tex]10^7[/tex]
Step-by-step explanation:
83 000 000 × 1 = 83 000 000
But 1 can be written as [tex]\frac{10^7}{10^7}[/tex]
83000000 × [tex]\frac{10^7}{10^7}[/tex] = 83000000 × 1 = 83000000
[tex]\frac{83000000}{10^7}[/tex] x [tex]10^7[/tex] = 83000000 × 1 = 83000000
Divide the denominator of [tex]10^7[/tex] into 83000000
[tex]8.3[/tex] x [tex]10^7[/tex] = 83000000
Answer don’t mind the stuff to there right——————
Answer:
Your answer will be 1.85 I hope this helps
What is the surface area?
Answer:
of what?
Step-by-step explanation:
Martin had 25 pounds of grapes left. Which expression shows the pounds of grapes Martin has if he doubles his
current amount?
A. (2)+(2)(4/5)
B. (2)(2)+(4/5)
C. (2)(2)+(2)(4/5)
D.(2)+(2)+(4/5)
Answer:
C
Step-by-step explanation:
You are riding your bicycle that has tires which are 26 inches in diameter. How many times will the wheels need to go around in order to travel 100 feet?
The graph shows the relationship between the number of years after a car is purchased
and the car's value
Which statement correctly describes the relationship shown in the graph?
A)
The car's initial value is $18,000, and the car's value increases $2,000 each year.
B)
The car's initial value is $18,000, and the car's value increases $6,000 each year
C)
The car's initial value is $30,000, and the car's value decreases $2,000 each year.
D)
The car's initial value is $30,000, and the car's value decreases $6,000 each year
Answer:
C. The car's initial value is $30,000, and the car's value decreases $2,000 each year.
Step-by-step explanation:
first I looked at the graph and saw that the y-intercept(car's initial value) was 30,000 which allowed me to eliminate A and B. Then found the slope by using the [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]= slope formula. [tex]\frac{24,000-30,000}{3-0}=\frac{-6,000}{3}=-2,000[/tex]. This tells us that the slope is -2,000 which means that the value decreases by 2,000 each month. So the correct answer is C.
The car's initial value is $30,000, and the car's value decreases by $2,000 each year. the correct answer would be an option (C).
What is the slope of the line?The slope of a line is defined as the gradient of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
The given graph shows the relationship between the number of years after a car is purchased and the car's value.
As per the graph, we take two points (0, 30,000) and (6, 18,000)
Here slope of the given graph is equal to the car's value decreases by each year.
So slope = (18,000 - 30,000)/(6-0) = -12,000/6 = -2000
This means the car's value decreases by $2,000 each year.
Thus, the car's initial value is $30,000, and the car's value decreases by $2,000 each year.
Learn more about the Lines here:
brainly.com/question/14511992
#SPJ6
A recipe uses 1 1/4 cupz of milk to make 10 servings. If the same amoumt of milk is used for each serving, how many servings can be made using 1 gallon of milk?
Answer:
128 servings.
Step-by-step explanation:
1 Gallon = 16 Cups
16/1.25 = 12.8
12.8 * 10 = 128 Servings.
Which digit is in the millions place?
50,862,115
8
5
0
2
Answer:
the 0
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
50,862,115
After the hundreth thousands place comes the millions.
The inner core of Earth begins about 3200 miles below the surface of Earth and has a volume of about 581,000,000 pi cubic miles. Approximate the radius of Earth. Round your answer to the nearest whole number.
A coin is tossed two times then a day of the week is randomly selected what is the probability of getting heads each time and day is that start with the letter S
Please help!!!!!
Answer:
Probability that the coin lands heads on the first toss is [math] \frac {1} {2} [/math] ... Expect the answer to be less than the individual probabilities of either event A or ... What is the probability of obtaining 3 heads when a fair coin is tossed 7 times? ... that outcome, your second flip has the coin starting with the heads side up.
Step-by-step explanation: Probability that the coin lands heads on the first toss is [math] \frac {1} {2} [/math] ... Expect the answer to be less than the individual probabilities of either event A or ... What is the probability of obtaining 3 heads when a fair coin is tossed 7 times? ... that outcome, your second flip has the coin starting with the heads side up.
Find the value of x.
Picture included
PLEASE HELP!
Answer:
x ≈ 0.843913
Step-by-step explanation:
1) 2π × 3x = 7x + 10
2) 6πx = 7x + 10
3) 6πx - 7x = 10
4) ( 6π - 7)x = 10
5) x =10/6π - 7 0R x ≈ 0.843913
What fraction of an hour is 22 minutes?
Give your answer in its simplest form
Answer:
11 ÷ 30
Step-by-step explanation:
The computation of the fraction of an hour of 22 minutes is shown below:
As we know that
In one hour there is 60 minutes
Now the fraction would be
= 22 ÷ 60
= 11 ÷ 30
y = 6 - 31
y =- 7x + 21
Solve by elimination.
multiply the lower equation by negative 1.
-y=7x-21
-y+y=o
new equation is
7x+6-52=0
6-52 is -46
-7x=-46
divide by -7
x=6.57...
plug it back in
y= 7(6.57)+21
7*6.57= 46
y=46+21
y=67
(might be wrong, I tried)
Answer:
Step-by-step explanation:
its is y=67 or it might be y=7 i
8th grade math, i’ll give brainliest if you want.
-Find the volume-
Answer:
904.78
Step-by-step explanation:
Cylinder volume formula:
V = πr²h
V = π(6²)(8)
V = 904.78
what is 55555555x22222222222222222
Which graph shows the sequence –7, –4, –1, 2, ...?
Justin is married with one child. He works 40 hours each week at a rate of $16 per hour. His wife began working part time after their daughter was born, but still contributes about $350 to the cash inflow each month. Their monthly cash outflow is generally about $3,000. They have a balance of $2,000 in their savings account. Justin has retirement contributions taken out of his paycheck at work. They have renter’s, car and life insurance coverage.
Based on this information, what part of their financial plan should Justin and his wife work on?
Answer: it’s A
Step-by-step explanation: Edge 2021
II. Express each pair of terms as ratio in fraction in simplified form. Show the
solution in the space provided.
6.) 28 pupils to 2 teachers
Solution:
Answer:
Answer
14 : 1
Step-by-step explanation:
28 to 2 = 28 : 2,
so simplify that and it's 14 : 1