The area of a trapezoid is 65mm2, the top is
9mm long, the height is 11mm long.
Find the base of the trapezoid.
Answers
Answer:
[tex]2.\bar{81}mm[/tex]
Step-by-step explanation:
First the formula for find the are of a trapezoid is:
[tex]A = \frac{h(a+b)}{2}[/tex]
Where [tex]a[/tex] is the top, [tex]h[/tex] the height and [tex]b[/tex] the base measures.
Then we need to know what is the base ([tex]b[/tex]), for that isolate [tex]b[/tex] from the equation
[tex]2A = h(a+b)\\\frac{2A}{h} = a+b\\\frac{2A}{h} - a = b[/tex]
Then in the new equation replace the given values:
[tex]A = 65mm^2\\a = 9mm\\h = 11mm[/tex]
[tex]\frac{2 \cdot 65mm^2}{11mm} -9mm = b\\\frac{130mm^2}{11mm} -9mm = b\\11.\bar{81}mm -9mm = b\\2.\bar{81}mm = b[/tex]
So the final answer is [tex]2.\bar{81}mm[/tex]
Related Questions
7/10=r-(-8/9) please help
Answers
Answer: -(3/10)
Step-by-step explanation:
7/10=r-(-8/9)
(7/10)=r+(8/9)
(7/10)-(8/9)=r
r =(7/10)-(8/9)
r =(7/10)*(9/9)-(8/9)*(10/10) [Multiply each fraction by another fraction equal to one, but with values that will convert the denominator into the same value]
r =(63/90)-(80/90)
r = -(27/90) or -(3/10)
The regular price of a code is $32 it is on sale at 25% off the sales tax is 6.5% what is the final cost of code
Answers
Answer:
$25.56
Step-by-step explanation:
first find the discount
32 • 0.25 = 8
32 - 8= 24
find the tax
24 • 0.065 = 1.56
24 +1.56 = 25.56
so the final price is $ 25.56
Answer:
25.56
Step-by-step explanation:
25% of 32= 8
32-8= 24
6.5% of 24= 1.56
24+1.56= 25.56
I hope this helped! Also, the Semester Knowdowns are done in a week! Start trying to get higher scores!
Samir's sister goes for kathak dance lessons on Tuesday ,Thursday and Saturday every week .If each lesson lasts 50 minutes ,how much time did he practice dance at her class in 3 weeks?
Answers
Answer:
450 minutes or 7.5hours
Step-by-step explanation:
for 1 week = 50 *3 (min)
=150 minutes
for 3 weeks = 150* 3(min )
=450 minutes
How do the expressions 2q2−3p and 2(p+q)/q compare when p = 8 and q = 4?Drag a symbol into the box to correctly complete the statement.2q2−3p Response area 2(p+q)/q when p = 8 and q = 4.=<>
Answers
Answer:
The answer is ">"
Step-by-step explanation:
I took the quiz epicly
Answer:
>
Step-by-step explanation:
2. A trader received a commission of 25 percent on the sales he made in a month. His commission was CH¢ 180.00. find his total sales for a month.
Answers
Answer:
CH¢ 720.00Step-by-step explanation:
25% commission equals 180.00
Total sales amount is x:
x*25/100 = 1800.25x = 180x = 180/0.25x = 720please help ASAP WHOSOEVERS first will be marked brainliest thank you
When you type the answers i ask please dont send any links pictures are fine but please make it visible and readable
I prefer you type your answers in the text box
please make it make sense
Thank you so much for helping me you do not have to solve the whole thing but if you can AWESOME
Answers
Answer:
why
Step-by-step explanation:
why
Marco is making a kite, using sticks for its diagonals. One stick is 2 feet long and the other is 3 feet long. How much material will Marco need to make the kite? 2 square feet 3 square feet 4 square feet 6 square feet.
Answers
Answer:
3 square feet
Step-by-step explanation:
Got it right because of the answer above :)
Marco will need 3 square feet of material to make the kite.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
We can use the formula for the area of a kite, which is:
A = (1/2) x d1 x d2
where d1 and d2 are the lengths of the two diagonals.
In this case,
d1 = 2 feet, and d2 = 3 feet.
Substituting these values into the formula, we get:
A = (1/2) x 2 feet x 3 feet
= 3 square feet
Therefore,
Marco will need 3 square feet of material to make the kite.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ7
Please help me with both problems I’ll mark as brainliest!!!
Answers
Answer:
7. x = 9
9. x=7
find three rational numbers between -1/2 and 1/2
Answers
Answer:
-1/4, 1/8 and 1/5.
Step-by-step explanation:
plz help!
1. (0, y) , (2, 7); m = 1/2
y = _____
2. (4, 2) , (5, y) m = 4
y = _____
Answers
Answer:
Step-by-step explanation:
y = mx + b, where m is the slope and y the y-intercept (the value of y when x=0).
(0, y) , (2, 7); m = 1/2
We can start with y = (1/2)x + b
To find b, use one of the two given points. I'll use (2,7), since (0,y) isn't helpful.
y = (1/2)x + b
7 = (1/2)*2 + b
7 = 1 + b
b = 6
The equation is y = (1/2)x + 6.
Now find (0,y) by using x = 0:
y = 6
The second point is (0,6)
============
2. (4, 2) , (5, y) m = 4
y = mx + b
y = 4x + b
Use (4,2) and solve for b:
2 = 4*4 + b
b = -14
The equation is y = 4x - 14
Now find (5,y):
y = 4x - 14
y = 4*5 - 14
y = 20 - 14
y = 6
The second point is (5,6)
Se attached graph.
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One hundred students are assigned lockers 1 through 100. The students assigned to locker 1 opens all 100 lockers. The student assigned to locker 2 closes all lockers that are multiples of 2. The student assigned to locker 3 changes the status of all lockers ( e.g., locker 3 is open gets closed and locker 6 that is closed gets opened) The student assigned to locker 4 changed the status of all lockers whose multiples of 4, and so on for all 100 lockers.
PLEASE HELP ME I HAVEN'T STARTED ITS DUE TMRW
Answers
Answer:
The perfect square lockers are the only ones left open.
Step-by-step explanation:
Here is a legit link to an explanation of this old puzzle problem!
https://36university.com/act-math-locker-problem-solution/
Quoting from that page:
Method 2: Who Touches Which Lockers
Identifying which students touch which lockers is a little less of a brute-force approach and would likely have gotten you to the solution a little more quickly.
Here’s what I mean:
Consider locker #1. The only student who touches locker #1 is student #1. Student 1 opens the locker, and since no one else touches it, it will be left open at the end.
Consider locker #2. Student 1 opens the locker, and student 2 closes it. No one else touches the locker, so it will be closed.
Consider locker #10. Students 1 opens the locker. Student 2 closes it. Students 3 and 4 skip right by it. Student 5 opens it. Students 6, 7, 8, and 9 skip right by it. And student 10 closes it. Locker #10 will be closed.
Mental Milestone 1: After looking at several lockers, you should notice that lockers are only changed by student numbers that are factors of the locker number. In other words, locker 12 is changed by students 1, 2, 3, 4, 6, and 12.
Mental Milestone 2: You should also have noticed that factors always come in pairs. This means that for every student who opens a locker, there is another student who closes it. For locker #12, student 1 opens it, but student 12 closes it later. Student 2 opens it, but student 6 closes it later. Student 3 opens it, but student 4 closes it later.
By this logic, every locker would be closed.
But there are exceptions!
Consider locker #25. Student 1 opens it. Student 5 closes it. Student 25 opens it. The locker will be left open, but why? In this case, the factors do not come in pairs. One and 25 are a pair, but five times five is also 25. Five only counts as one factor. This causes the open-close pattern to be thrown off. Locker #25 is left open.
Mental Milestone 3: When factors don’t come in pairs, the locker will be left open. And factors don’t come in pairs when numbers are multiplied by themselves. Perfect squares (1, 4, 9, 16, 25, 36, 49, 64, 81, 100,…) are the only numbers whose factors don’t come in pairs because one set of factors, the square root, is multiplied by itself. This means that only perfect square lockers will be left open.
Locker #s 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100 are left open!
For positive acute angles A and B, it is known that cos A = 4/5 and tan B =5/12 Find the value of cos(A + B) in simplest form.
Answers
Answer:
33/16
Step-by-step explanation:
PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS
Answers
Answer: A number is a minimum of 6
Step-by-step explanation:
The < and > mean greater or less than. I learned these with this trick when I was little imagine they were mouths or maybe Pac-Man or something, the mouth would ways point to the bigger number. So here it means n is bigger than 6. When there is a line under the < or > it means it can also be equal to the number. SO this means n is equal to or bigger than 6 meaning the number of n is a minimum of 6.
What is the sum of all positive integers that have twice as many digits when written in base $2$ as they have when written in base $3$? Express your answer in base $10$.
Answers
Only two positive integers, 2 and 8, fit the description.
2 = 10 (base 2) = 2 (base 3)
8 = 1000 (base 2) = 22 (base 3)
Their sum is 10.
Pls help me I have to do my other work. Also this detects if it’s right or wrong:(
Answers
Solve for X:
6(4X - 6) + 5 = 8X + 4X - 28 + 12X + 5 - 8
Answers
Answer:
I think it's infinantly many solutions
Step-by-step explanation:
6•4x= 24x.
6•-6=-36. 8x+4x+12x=24x 24x-36+5 -28+5-8=-31
24x-31 24x-31
sorry that's it's set up so wierdly
Answer:
Any value of X makes the equation true.
Step-by-step explanation:
3 times a Numbers plus 12 is more than 15?
Answers
Answer:
2,3,4,5,6,7,8,9 etc
Step-by-step explanation:
Answer:
3x + 12 > 15
this can be simplified to
x > 1
Step-by-step explanation:
:D
Can someone help me pls
Answers
Equation in slope intercept form is: y=-3/2-2
Equation in point slope form is:
y+2=-3/2x-3/2.
If you want the un simplified version of the equation in point slope form it is: y- -2= -3/2(x+1)
Hope this helps!! :)
Solve
2^3n-4>0
...................
Answers
Answer:
2^3n-4>0 4
Step-by-step explanation:
brainlies me plsss
The length of an eraser is ¾ inch. How many erasers would it take to make a row 42 inches long?
Answers
Answer:Let us suppose that we have 2 erasers. so the length of a row of 2 erasers would be
3/4+3/4=2 3/4
So, let us suppose that we have x erasers. The length of the row of x erasers would be
3/4 x
we want x such that this length is 42, so we have the equation
3/4 x =42
Step-by-step explanation:
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!6
Answers
Step-by-step explanation:
Its a
What is a quarter of 2770?
Answers
Answer:
692.5
Step-by-step explanation:
Answer:
it's 692.5
I hope it's right
Two legs of a right triangle are each 70 cm. If one leg grows at the rate of 3cm/min and the other
shrinks at the rate of 5 cm/min.
B)How fast is the area of the triangle changing 2 minutes later?
Answers
Answer: 5 in
Step-by-step explanation: Consider a right triangle which is changing shape in the following way. The horizontal leg is increasing at the rate of 5 in.
BRAINLIEST
Can you help me finish these
Answers
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Willa is building birdhouses . Each side of the birdhouse needs 9 nails . How many nails does Willa need for each birdhouse . There are 7 sides on the birdhouse
Answers
Answer:
63
Step-by-step explanation:
I side=9 nails*1= 9nails
7 sides= 9*7 nails= 63 nails
Each birdhouse requires 63 nail.
Hope this helps!
Please help me!!!!!!
Answers
Answer:
do you know what the question is asking?
Step-by-step explanation:
PLZ HELP ASAP ILL GIVE 20 POINTS!
A local store is selling fresh tuna. The table below shows the price for the amount of tuna. Amount of tuna (in pounds) 2, 6, 7 price (in dollars) 12, 30, 35.
predicted price for 9 pounds of tune?
Answers
Answer:
Its not always the same, 45 dollars
Step-by-step explanation:
Here is why its not always the same:
12/2 = 6 dollars/pound
30/6 = 5 dollars/pound
35/7 = 5 dollars/pound
we can see that they are not the same price as they vary.
For 9 pounds we can assume that the price would continue to be 5 dollars/pound:
x/5 = 9
x=5*9
x= 45
Someone could help me with problem 3-75 (b) please
Answers
Answer:
a. is correct
b. not correct
c. not correct
d. is correct
Step-by-step explanation:
3-75:
a) 3x + 7 = x - 1
Subtract 7 on both sides to get 3x = x - 8, then subtract x from 3x to get 2x = -8, finally divide 2 on both sides to get x = -4. (Answer is yes)
b) -2x - 4 = -4x + 3
Add 4 on both sides to get -2x = -4x + 7, then add 4x to -2x to get 2x = 7, finally divide 2 on both sides to get x = 7/2. (Answer is no)
c) -3x + 5 + 5x - 1 = 0
Add 1 on both sides to get -3x + 5 + 5x = 1, then subtract 5 on both sides to get -3x + 5x = -4, next combine -3x and 5x together to get 2x = -4, finally divide 2 on both sides to get x = -2. (Answer is no)
d) -(x - 1) = 4x - 5 - 3x
Combine 4x and -3x together to get
-(x - 1) = x - 5, then add (x - 1) and (x - 5) together to get 2x - 6, next do 2x - 6 = 0 and solve for x, by adding 6 on both sides to get 2x = 6, and finally dividing 2 on both sides to get x = 3. (Answer is yes)
Explanation:
I did the whole 3-75 section for you, but I didn't really understand 3-76, and my brain was already hurting by the time I got to section 3-77, sorry.
Hope this helps though, I did my best :)
. A large tank is partially filled with a solution. The tank has a faucet that allows solution to enter the tank at a rate of 3 16 4liters per minute. The tank also has a drain that allows the solution to leave the tank at a rate of 4 19 5liters per minute. (a) What expression represents the change in volume of solution in the tank in 1 minute? (b) What is the change in volume of the solution after 15 seconds? Show necessary work. (c) What does the change in volume after 15 seconds mean in the real world? Answer in complete sentences. please be helpful no links that there not helpful ok :)
Answers
Answer:
345645
Step-by-step explanation:
60 x 45
What is 1 and 1/4 - 3/8?
Answers
Answer:
7/8
Step-by-step explanation:
1 and 1/4 would equal 5/4. This would be 5/4-3/8, which equals 10/8-3/8=7/8
Answer:
0.875
Step-by-step explanation: