Answers
[tex]135 = \frac{22 + 8}{2} \times h \\ 135 = \frac{30}{2} \times h \\ 135 = 15 \times h \\ h = \frac{135}{15} \\ h = \frac{27}{3} = 9cm[/tex]
Answer:
Area of a trapezoid :
[tex]area = \frac{a + b}{2} h[/tex]
The measures given are trapezoid
Area = 135
base 1 = 22
base 2 = 8
[tex]135 = \frac{22 + 8}{2} h \\ \\135 = \frac{30}{2} h \\ 2(135) = ( 2)\frac{30}{2} h \\ 270 = 30h \\ \frac{270}{30 } = \frac{30h}{30} \\ 9 = h[/tex]
Step-by-step explanation:
We can check if the answer is right
[tex] \frac{22 + 8}{2} \times 9 \\ \frac{30}{2} \times 9 \\ 15 \times 9 = 135[/tex]
Related Questions
Evaluate f(2) for the function f(x)=5(x-3)+17
Answers
Answer:
12.
Step-by-step explanation:
Replace the x by 2 and evaluate:
f(2) = 5(2 - 3) + 17
= -5 + 17
= 12.
The value of function f (2) is, 12
We have to give that,
The function is defined as,
f (x) = 5 (x - 3) + 17
Substitute x = 2 in the above function,
f (x) = 5 (x - 3) + 17
f (2) = 5 (2 - 3) + 17
f (2) = 5 × - 1 + 17
f (2) = - 5 + 17
f (2) = 12
Thus, The value of a function at x = 2 is,
f (2) = 12
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A rectangle at 0,0 and 3,0 and 0,6 what is the area of the rectangle
Answers
Answer:
is the amount of space it occupied 18
**PLS HELP ILL GIVE BRAINLIEST** Explore
Fill in each blank with a number or expression such that each row and column has the same sum.
Answers
The missing expressions to the empty blanks are 2x, 2x - 1, x - 1 and x + 3.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Sum of each row = sum of each column = x + 2 + x + 2 = 2x + 4
Hence:
a + x + 2 + 2 - x = 2x + 4
a = 2x
b + 5 - x + x = 2x + 4
b = 2x - 1
c + 5 - x + 2x = 2x + 4
c = x - 1
d + 2 + x - 1 = 2x + 4
d = x + 3
The missing expressions to the empty blanks are 2x, 2x - 1, x - 1 and x + 3.
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A bag contains 60 marbles that are red, blue, and green. The ratio of red to blue marbles is 13:3, and the ratio of blue to green marbles is 3:4, If 3 marbles are removed and replaced with 3 green marbles, what will be the new ratio of red to green marbles?
I'm Confused can someone help?
Answers
Answer: 6:4
Step-by-step explanation: The total of marbles doesn't change just the green total total.
Answer:
3 marbles of what are removed (green red or blue)
Step-by-step explanation:
60 marbles=red+blue+green
red:blue
(13 : 3)
blue:green
( 3 : 4)
red:blue:green
13 : 3 : 4
13/20×60=39 red marbles
3/20 × 60=9 blue marbles
4/20× 60= 12 green marbles
60-3
=57
x-3
can you please help with this please.
Answers
Answer: The following is listed below.
Step-by-step explanation: The following pairs are below:
3 quarters (.75￠): 7 dimes and 1 nickel.9 dimes (.90￠): 3 quarters and 3 nickels.17 nickels (.85￠): 8 dimes and 1 nickel.1 dollar and 3 quarters ($1.75): 7 quarters.11 dimes ($1.10): 22 nickels.3 dimes (.30￠): 6 nickels.5 quarters ($1.25): 25 nickels.6 dimes (.60￠): 2 quarters and 1 dime.13 nickels (.65￠): 2 quarters and 3 nickels.1 dollar and 8 dimes ($1.80): 18 dimes.Now, all you have to do is do the following pairings that I listed above with a partner and you're all good to go!
Remember, 0.25￠is a quarter, 0.10￠is a dime, 0.05￠is a nickel, and 0.01￠is a penny.
Have a great day! :)
Ben began peeling a pile of 64 potatoes
at the rate of 2 potatoes per minute. Five
minutes later Tom joined him and
peeled at the rate of 4 potatoes per
minute. When they finished, how many
potatoes had Tom peeled?
Answers
The number of potatoes peeled by Tom was 36 potatoes after peeling a pile of 64 potatoes
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let t represent the time after Tom joined.
number of potatoes peeled by Ben = 2(5 minutes) + 2t = 2t + 10
number of potatoes peeled by Tom = 4t
Since they are 64 potatoes, hence:
2t + 10 + 4t = 64
t = 9 minutes
number of potatoes peeled by Tom = 4(9) = 36 potatoes
The number of potatoes peeled by Tom was 36 potatoes after peeling a pile of 64 potatoes
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4
True or False: The probability of an event can be greater than 1.
A True
B False
<
Answers
Answer:
False
Step-by-step explanation:
probabilities are or are between 0 and 1
1 means complete certainty
toppr
A crate of pears that usually costs $50 is on sale for 10% off. What is the sale price for the crate of pears?
Answers
Explaining:
10% of 50
= 10%=10/100 = 0.1
= 0.1 (x) times 50
= 5
Sale price of the crate of pears after 10% discount on cost price $50 is equals to $45.
What is sale price?" Sale price is defined as the amount on which something is sold out."
Formula used
Sale price = Cost price - Discount amount
According to the question,
Cost price of the crate of pears = $50
Discount on sale price = 10%
Discount amount = 10% of $50
[tex]=\frac{10}{100}(50) \\\\= \$5[/tex]
Substitute the value in the formula of sale price we get,
Sale price = [tex]\$ ( 50 - 5)[/tex]
= $ 45
Hence, sale price of the crate of pears after 10% discount on cost price $50 is equals to $45.
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what is 68% as a fraction
Answers
The percentage 68% is converted into a fraction number as 17/25.
What is a fraction number?A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of a numerator and a denominator.
The amount of any product is presented as though it were a percentage of a hundred. The ratio is one-quarter of one hundred.
The faction number is given in the form of a percentage. Then the percentage is converted into a decimal number by dividing 100.
⇒ 68%
⇒ 0.68 x 100 / 100
⇒ 68 / 100
⇒ 17 / 25
The percentage 68% is converted into a fraction number as 17/25.
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HELP SOMEONE please review the image :D
Answers
The Venn diagram shows people go to work
Answers
Answer:
If B stands alone in the option,B is the answer.But if it doesn't,choose none or neither
Step-by-step explanation:
Mutually exclusive events are events that do not occur at the same time.On the venn diagram,mutually exclusive events do not overlap. Hence, B is a mutually exclusive event because W and T overlap. Since B doesn't stand alone in any option,the answer is none
What is the value of x?
What is the value of angle G?
What is the value of angle D?
What is the value of angle F?
What is the value of angle E?
please help me Thanks
Answers
Answer:
See below ↓
Step-by-step explanation:
∠G = ∠E and ∠F = ∠D [opposite angles in a ║gm]3x + 11 = 5x - 92x = 20x = 10∠G = 5(10) - 9 = 41°∠E = 3(10) + 11 = 41°
Measures of the angles are equal 360° (total degree measure) - [∠G + ∠E]
360 - 82278∠F and ∠D = 1/2(278) = 139°use the image to match the arc/angle measure.
(there is one more option that i wasn’t able to get in the photo it is 67°
Answers
Answer:
The following measurements are:
[tex]m\angle{STR}=23^\circ[/tex] (Option #4)
[tex]m{QT}=142^\circ[/tex] (Option #7)
[tex]mST=134^\circ[/tex] (Option #5)
[tex]mRQ=38^\circ[/tex] (Option #2)
Step-by-step explanation:
To begin, we can find the measure of [tex]\angle{STR}[/tex] by applying the inscribed angle theorem: an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.
Since the intercepted arc (RS) is 46 degrees, we have:
[tex]46=2\theta\\23=\theta[/tex]
Next, we can find the measure of arc QT using the same theorem. So,
[tex]QT=2(71)\\QT=142[/tex]
Notice that the chord RT is actually a diameter. From the theorem about the inscribed angle including a diameter, we know that the intercepted arc will have a measure of [tex]180^\circ[/tex]. Since the arc ST is part of the arc RST, and we know RS is [tex]46^\circ[/tex], we can set up and solve this equation:
[tex]RST = RS + ST\\180 = 46 + ST\\134 = ST[/tex]
We can use the same idea to find RQ. We know that RQT is [tex]180^\circ[/tex] and QT is [tex]142^\circ[/tex], so:
[tex]RQT = RQ + QT\\180 = RQ + 142\\38 = RQ[/tex]
An equation is shown below: 2(7x − 3) = 9 Which of the following correctly shows the beginning steps to solve this equation? (4 points)
Answers
Answer:
The next step is: 14x - 6 = 9. The answer to this equation would be: x = 15/14.
Step-by-step explanation:
To solve this equation first you expand:
14x - 6 = 9
Then solve from there:
14x = 15
x = 15/14
Hey there!
Use the distributive property and distribute 2:
2(7x-3)=9
14x-6=9
Now, add 6 to both sides (remember the golden rule of algebra)
14x=15
divide both sides by 14
x=15/14 (improper fraction)
x=1+1/14 (mixed number)
Hope everything is clear.
Let me know if you have any questions!
#ILoveLearning
:-)
please help need this now
Answers
Answer:
hope this helps
Step-by-step explanation:
Pleaseeeeee help meeee answer number 3,5 and 7 they are hard for me to do
Answers
Answer:
5. 52+56 < 49x -46x
108< 3x
108/3< 3x/3
36
pls answer carefully
Answers
Answer:
The value of k = 16 and the measure of unknown angle is 48°
Step-by-step explanation:
=> 84°+48°+3k° = 180° { The sum of angles of a triangle is 180° }
=> 132°+3k° = 180°
=> 3k° = 180°-132°
=> 3k° = 48°
=> k = 48/3
=> k = 16
The measure of unknown angle is 3×k = 3×16 = 48°
What percent of 72 is 9?
O 1/8% O 1 1/4% O 12 1/2% O 125%
Answers
Answer:
1/8%
Step-by-step explanation:
just divide the 72 and 9 , the 9 divide it as a percentage
Step-by-step explanation:
100% = 72
1% = 100%/100 = 72/100 = 0.72
9 is that many % as 1% fits into it.
so,
9/0.72 = 12.5% = 12 1/2 %
the third answer option is correct.
Solve.
3y − 1 − 9y = 29
(−5, 6, −6, 5)- answer options
Answers
Step-by-step explanation:
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
-6y - 30 = -6 • (y + 5)
Equation at the end of step
1
:
STEP
2
:
Equations which are never true:
2.1 Solve : -6 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
2.2 Solve : y+5 = 0
Subtract 5 from both sides of the equation :
y = -5
One solution was found :
y = -5
Answer: y=-5
Explanation:
3y-1-9y=29
3y-9y=-6y
-6y-1=29
+1 on both sides
-6y=30
÷-6
y=-5
Donetta is investing $6000 in a stock fund that is offering a constant annual interest of 5%.
Answers
The interest in investing $6000 in a stock fund that is offering a constant annual interest of 5% is $300
What is interest?
Interest is the amount of money made from investing a particular amount of money over a period of time. It is given by:
I = PRT
I is interest, P is principal, R is rate and T is period
Donetta is investing $6000 in a stock fund that is offering a constant annual interest of 5%. Hence in one year:
I = 6000 * 5% * 1 year = 6000 * 0.05 * 1 = $300
The interest in investing $6000 in a stock fund that is offering a constant annual interest of 5% is $300
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Jordan writes 3(4x – 8) = 12x – 8
Explain why his expansion is not correct
Complete the following table and write down each of the expansions
x x -2
x
X (X – 2)
Answers
Julia starts April with a credit card balance of $300 because she was not able to make the full
payment for March.
During April, she makes the following purchases:
April 10 - $250 for groceries.
April 18 - $800 for a new phone
April 23 - $80 for a birthday present for her brother
Calculate the Average Daily Balance given that there are 30 days in April. You will need to
divide April into four sets of days.
Answers
disclaimer: I'm not 100% sure if this is correct
Answer:9.66, or 10 if you rounded it up
Step-by-step explanation:I THINK that you add 280, 800, and 80 together to get -$1160, then divide 1160 and 30 maybe. then divide your answer with 4 to get 9.66, or 10.0
I hope this helps! if not, i am deeply sorry, friend.
,SivethTheDragon
The Average Daily Balance for Julia's credit card in April is approximately $846.33.
Here, we have,
To calculate the Average Daily Balance for Julia's credit card in April, we will divide the month into four sets of days based on her purchase dates. Here's the breakdown:
Set 1: April 1 to April 9 (9 days)
The balance remains at $300 because no purchases were made during this period.
Set 2: April 10 to April 17 (8 days)
Julia makes a purchase of $250 for groceries on April 10.
Therefore, the balance for these 8 days is $300 + $250 = $550.
Set 3: April 18 to April 22 (5 days)
Julia makes a purchase of $800 for a new phone on April 18.
Therefore, the balance for these 5 days is $550 + $800 = $1350.
Set 4: April 23 to April 30 (8 days)
Julia makes a purchase of $80 for a birthday present on April 23. Therefore, the balance for these 8 days is $1350 + $80 = $1430.
To calculate the Average Daily Balance, we sum up the balances for each set of days and divide by the total number of days in April:
(9 days * $300 + 8 days * $550 + 5 days * $1350 + 8 days * $1430) / 30 days
= ($2700 + $4400 + $6750 + $11440) / 30
= $25390 / 30
= $846.33 (rounded to the nearest cent)
Therefore, the Average Daily Balance for Julia's credit card in April is approximately $846.33.
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8) Simplify.
5(3x – 3) + 4(6x - 12)
Answers
Answer:
39x - 63
Step-by-step explanation:
5(3x - 3) + 4(6x - 12) ← distribute both parenthesis
= 15x - 15 + 24x - 48 ← collect like terms
= 39x - 63
Find the perimeter of the polygon with the vertices H(3, 2), I(5, 2), J(5, 7), K(3, 7).
Answers
Answer:
14
Step-by-step explanation:
2x((5-3)+(7-2)) = 14
Mr.B called Mrs.A, then called Ms.C. If Mr.B called Ms. C first, then Mrs. A, what property does this mimic? Associative, Commutative, or Distributive property.
Answers
Dennis biked 8 km and Patrick ran 6,172 m. Who traveled farther and by how much?
Answers
Answer:
Dennis : 4.971 miles
Patrick : 3.835 miles
Dennis ran 1.136 miles farther
Will give brainiest!!!!
Jocelyn participates in three track events: the 200-meter sprint, the 400-meter hurdles, and the 800-meter run. She calculated the mean absolute deviation of her race times throughout the season in each event.
200-meter sprint: mean absolute deviation of 2.05
400-meter hurdles: mean absolute deviation of 2.82
800-meter run: mean absolute deviation of 1.9
In which event were her times the most spread out?
200 meter sprint
800 meter run
400 meter hurdles
Answers
Answer:
The awnser is 400 meter run
Step-by-step explanation:
i took the quiz
The mean absolute deviation shows that the event were her times the most spread out is C. 400 meter hurdles.
What is a mean absolute deviation?It should be noted that the mean absolute deviation means the average distance that's between each data point and the mean.
In this case, the mean absolute deviation shows that the event were her times the most spread out is 400 meter hurdles. This was illustrated as it has has the highest mean absolute deviation when compared to others.
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Pls Help Me I will Mark the Brainiest
Answers
Answer:
arc AD = 126°
Step-by-step explanation:
the inscribed angles ABD and ACD are half the measure of their intercepted arc AD
then ∠ ABD and ∠ ACD are congruent , so
11x - 3 = 8x + 15 ( subtract 8x from both sides )
3x - 3 = 15 ( add 3 to both sides )
3x = 18 ( divide both sides by 3 )
x = 6
then
∠ ABD = 11x - 3 = 11(6) - 3 = 66 - 3 = 63° , thus
arc AD = 2 × 63° = 126°
help me solve for x and y .
Answers
Answer:
Step-by-step explanation:
Answer:
x = 20y = 114°Step-by-step explanation:
An exterior angle of a triangle is equal to the sum of the remote interior angles.
(3x +6)° = 31° +35°
3x +6 = 66 . . . . . . . . . . divide by °, collect terms
3x = 60 . . . . . . . . subtract 6
x = 20 . . . . . . . divide by 3
The value of y is the supplement of (3x+6)°, and of the sum (31 +35)°.
y = 180° -66° = 114°
The values of x and y are 20 and 114°, respectively.
Class
At the grand opening of a Cooper's department store, every sixth
customer to enter the store is given a free coffee cup and every ninth
customer is given a free tote bag. Which customer will receive both
gifts?
6RP
Answers
Answer:
Amy has $75 to buy 6 new books.If each book costs $5, which equation represents the amount of money ( m) Amy will have left? A. 75-11= m B. 75+15= m C. 75-30= m D.75+30= m