Answers
Explanation:
Formula for area of trapezoid:
A=a+b/2 * h
A=7.5+2.5/2 * 2.5
A=10/2 * 2.5
A=5 * 2.5
A=12.5
Related Questions
1. How much ribbon is required to wrap once around a basketball present? Basketballs are 78 cm in
diameter
2 Two cars leave the park at the same time. One travels north at a speed of 50 km/h for 2 hours. The
second car travels west at a speed of 80 km/h for 2 hours. After the 2 hours, how far apart are the two
cars? Be sure to draw a diagram illustrating this situation
3 Asmall tree is beginning to lean The owner decides to set up a tension wire to straighten the tree's
growth The owner chooses a wire which is 5 m in length to straighten the tree. The tree is 4 m high
How far must the owner secure the bottom of the wire from the base of the tree (assuming he attaches
the tension wire to the top of the tree)?
Answers
Answer:
1) 244.92cm 2) 188.68 km 3) 3m
Step-by-step explanation:
1) We are finding the circumference of the basketball in this situation. C=pi(d), d=diameter, C=circumference. So, C= 3.14(78), and finally C= 244.92 cm.
2) We can begin to approach this problem by finding how far each car has traveled over 2 hours. The car heading north is going 50 km/h, so for two hours it has covered 100 kilometers. The car going west is at 80 km/h, so for two hours it has covered 160 kilometers. Now, we could draw this as a right triangle, with one leg being the north-headed car 100 km away from the start, and the other leg being the west moving car 160 km away from the start. The hypotenuse represents the distance between them. Now we use the pythagorean theorem! north car is a, west car is b. a^2+b^2=c^2. 100^2+160^2=c^2. 35600=c^2. take the square root of both sides for c=188.68. The distance between the two cars is approx 188.68 km.
3) `This situation can be represented as a right triangle. The height of the tree, 4m, is the height of the triangle, and the wire, 5m, is the hypotenuse. We are trying to find one of the legs, which represents the ground to the base of the tree. In the pythagorean theorem, we have a^2 and c^2, and just need to find b^2. Let's plug it into the equation:
4^2+b^2=5^2
16+b^2= 25
b^2=9
b=3
hope this helped it took a long time to explain it all! :)
Find the y-intercept of the rational function. (0, −2) (−2, 0) (0, 6) (6, 0)
Answers
Answer:
(0, - 2)
Step-by-step explanation:
The y-intercept of the rational function is (0, −2).
Given P(X) = 0.5, P(Y) = 0.4, and P(Y|X) = 0.3, what are P(X and Y) and P(X or Y)?
Answers
Answer:
P(X and Y) =0.2, P(X or Y)=0.7
Step-by-step explanation:
P(X or Y)
P(X∪Y) = P(X)+P(Y) - P(X∩Y)
= 0.5 + 0.4 - 0.2
= 0.7
or 1-P(Y|X)=1-0.3=0.7
P(X and Y)
P(X∩Y) = P(X) × P(Y)
= 0.5 × 0.4
= 0.2
I hope it helps
Which best describes the relationship between the lines with equations
Answers
Hey there! :)
Answer:
B, they are the same line.
Step-by-step explanation:
Begin by converting each equation to slope-intercept form to make it easier to see the relationship:
-3x - 4y = 1
-4y = 3x + 1
y = -3/4x - 1/4
-------------------
-6x - 8y = 2
-8y = 6x + 2
y = -3/4x - 1/4
The lines are the same. Therefore, B is the correct choice.
Is Figure B a scale copy of Figure A? Choose 1 answer: (Choice A) Yes (Choice B) No
Answers
Answer:
no
Step-by-step explanation:
Answer: B) No
Step-by-step explanation:
When you dive 9 by 3 you get 3.
When you divide 7.3 by 2.2 you get 3.318181818...
Ella makes a smoothie for breakfast every morning. Today, she wants to use melon, apple, orange, and peach. In how many different ways (orders) can she add these fruits to her blender?
Answers
Answer: The number of different ways (orders) she can add these fruits to her blender = 24
Step-by-step explanation:
Given, Ella makes a smoothie for breakfast every morning. Today, she wants to use melon, apple, orange, and peach.
i.e. Total fruits = 4
The number of ways to order n things = n!
Therefore, the number of different ways (orders) she can add these fruits to her blender = 4!
= 4 x 3 x 2 x 1
= 24
Hence, the number of different ways (orders) she can add these fruits to her blender = 24
Answer:
the correct answere is actully 120 ways.
Step-by-step explanation:
What is the measure of the missing angle x?
Answers
Answer:
C. 60°
Step-by-step explanation:
Add the two given angles and subtract from 180°
Answer:
C. 60
Step-by-step explanation:
The total degrees in a triangle is 180. Add up the given angles measures and subtract from 180 to find x.
52 + 68 + x = 180
120 + x = 180
x = 60
Solve for x in the diagram below.
Answers
Answer:
x = 34°
Step-by-step explanation:
As you can see, in your pic there is a straight angle which is equal to 180°
Therefore, all the 3 angles combined will be equal to 180°
What is the slope of the line represented by the equation y=-1/2x + 1/4?
Answers
Answer:
The slope is -1/2 and the y intercept is 1/4
Step-by-step explanation:
y=-1/2x + 1/4
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is -1/2 and the y intercept is 1/4
What is the solution to 4x+6 is less than or equal to 18?
Answers
Hey there! :)
Answer:
x ≤ 3
Step-by-step explanation:
Given:
4x + 6 ≤ 18
Subtract 6 from both sides:
4x ≤ 12
Divide both sides by 4:
4x/4 ≤ 12/4
x ≤ 3
Step-by-step explanation:
4x+6 <_ 18
-6 -6
4x <_ 12
Divide 4 both sides by 4
Therefore, x is less than or equal to 3
There were 100 chocolates in a box. The box was passed from person to person in one row. The first person took one chocolate. Each person down the row took one more chocolate than the person before. The box was passed until it was empty. What is the largest number of people that could have removed chocolates from the box? How do you know?
Answers
Answer: 13 people (I think)
Step-by-step explanation:
I didn't use a set equation to solve the problem, but I added 1+2+3+4... (and so on) until I got a number that was over 100. When I got to 14, the number reached 105, meaning that 13 people were able to get the number of chocolates that they desired. The fourteenth person was short 5 chocolates.
Please feel free to ask me any further questions you have! Have a wonderful day!
What is the area of this face?
100 in2
200 in2
150 in
400 in2
Answers
Answer: 200 in
Step-by-step explanation:
Try to split up the face into pieces. You can make the first piece the square on the top. Only, you don't know the value of the bottom side, but you can see that it is 10 (if you look at the top at the back). So, if you do your multiplication, 10 x 10 = 100. So, that is the area of the first square. The next square also has a width and height of 10, (10 on the bottom, and follow the side to the other 10). Do the multiplication again (same as above) and get 100. Now that you have the area of the two pieces, you add then together: 100+100=200
Please feel free to let me know if you have any questions!
Answer: The yellow face has an area of 200 in^2
Step-by-step explanation:
The height of each of the two square areas is 10 in. The width is 10. A=w × h
10 × 10 = 100. Times 2 for the total for the yellow face.
Don't be confused by the 5-inch offset.
M is the midpoint of PQ and N is the midpoint of PR, and O is the intersection of QN and RM, as shown. If QN is perpendicular PR, QN = 12, and PR = 14, then find OR.
Answers
Answer:
OR = √65
Step-by-step explanation:
M and N are the midpoints of their respective sides, so O is the centroid of the triangle. That means ...
ON = QN/3 = 12/3 = 4
By the Pythagorean theorem, ...
OR² = NR² +ON²
OR² = 7² +4² = 65
OR = √65
At a graduation ceremony, names were read at the rate of five names per minute. If the names had been read at the rate of seven names per minute, the ceremony would have taken 24 minutes less. How many names were read?
Answers
Answer:
420 names were read
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Rate of names read per minute at the graduation ceremony = 5
2. If the names had been read at the rate of seven names per minute, the ceremony would have taken 24 minutes less. How many names were read?
x = Number of minutes it takes to read the names at the rate of seven names per minute
x + 24 = Number of minutes it takes to read the names at the rate of five names per minute
Solving for x:
5 * (x + 24) = 7x
5x + 120 = 7x
5x - 7x = -120 (Subtracting 120 and 7x at both sides)
-2x = -120
x = -120/-2
x = 60 ⇒ 7x = 420
420 names were read
find two rational numbers between [tex]\sqrt[3]{8}[/tex] and [tex]\sqrt{9}[/tex]
Answers
Step-by-step explanation:
[tex] \sqrt[3]{8} = 2 \\ \sqrt{9} = 3[/tex]
so between 2 and 3
you can say:
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
2.9
2.22
2.1875838
2.7583883
Using this table, calculate the profit at each level of bicycle production. One bike: -$ Two bikes: $ Three bikes: $ Four bikes: $ Five bikes: $ Six bikes: $ Seven bikes: $
Answers
Answer:
Step-by-step explanation
You solve with math
which of the following is the correct graph of the solution to the inequality. -8>-5x+2>-38
( those are the answers^)
Answers
Answer:
2<x<8
Step-by-step explanation:
-8>-5x+2>-38
first part : -5x>-38-2
-5x>-40 when divide by negative number flip the sign
x<-40/-5
x<8
second part : -8>-5x+2
-8-2>-5x
x>-10/-5
x>2
2<x<8
2<x<8
Using a number cube and this hat with 5 different-colored marbles, which simulation would help you answer this question? During the first 70 days of school, Becca’s science class does a lab experiment 2/3 of the time. The class meets Monday through Friday. If you choose a class at random, what are the chances that Becca did a lab experiment on a Friday?
Answers
Answer:
see the attachment
Step-by-step explanation:
We assume that the question is interested in the probability that a randomly chosen class is a Friday class with a lab experiment (2/15). That is somewhat different from the probability that a lab experiment is conducted on a Friday (2/3).
Based on our assumption, we want to create a simulation that includes a 1/5 chance of the day being a Friday, along with a 2/3 chance that the class has a lab experiment on whatever day it is.
That simulation can consist of choosing 1 of 5 differently-colored marbles, and rolling a 6-sided die with 2/3 of the numbers being designated as representing a lab-experiment day. (The marble must be replaced and the marbles stirred for the next trial.) For our purpose, we can designate the yellow marble as "Friday", and numbers greater than 2 as "lab-experiment".
The simulation of 70 different choices of a random class is shown in the attachment.
_____
Comment on the question
IMO, the use of 70 trials is coincidentally the same number as the first 70 days of school. The calendar is deterministic, so there will be exactly 14 Fridays in that period. If, in 70 draws, you get 16 yellow marbles, you cannot say, "the probability of a Friday is 16/70." You need to be very careful to properly state the question you're trying to answer.
Answer:
D,
Method:
Roll, pick, and replace a marble 70 times
Count number of times...
Roll Greater than 2 AND pick a yellow marble
Step-by-step explanation:
Well first of all, I wouldn't leech, and second of all, this is a game of trust.
lol
jk
I know this is correct due to probability calculations,
You know there is a 1/5 probability chance of getting a yellow marble, and there are 5 days that the school goes off of.
You also know that you can get 3, 4, 5, or 6 on the dice (as long as it is fair) and that would be 4/6 of a chance or 2/3.
The experiments are on 2/3 of the 70 days, and there are 5 school days per week.
Kinda of a no-brainer if you understand how this kinda works.
Hope this helps!
Hopefully this explains this question where you can understand!
you have 20 coins in your pockey that are either quarters or dimes. they total 3.95 how nany quarters do you have
Answers
12 quarters
hope i helped
To be able to compete in a particular class, a bodybuilder can weigh in at no more than
175 pounds and no less than 145 pounds. If the clothes the wrestlers wear add 1
pound, what is the actual weight range, in pounds, for these bodybuilders (in interval
notation)?
Answers
Answer:
Range of weight = 176 - 146 pound
Step-by-step explanation:
Given:
Maximum weight = 175 pound
Minimum weight = 145 pound
Clothes weight = 1 pound
Find:
Range of weight
Computation:
Range = maximum weight - 1 pound
Range = minimum weight + 1 pound
Range = 175 - 1 pound
Range = 145 + 1 pound
Range = 174
Range = 146
Range of weight = 176 - 146 pound
I WILL MAKE BRAINLY
Which description matches the graph of the inequality y<-1/2x+5? a shaded region above a dashed boundary line a shaded region below a dashed boundary line a shaded region below a solid boundary line a shaded region above a solid boundary line
Answers
Answer:
a shaded region below a dashed boundary line
Step-by-step explanation:
this inequality uses the "less than" symbol (<), so we will use a dashed line because we are not including the values on the line
plug in (0,0) to see if we are shading above or below the line
0 < -1/2(0) + 5
0 < 5
this is true, so we will shade in the side that the point (0,0) is located, which is below the line (we know this because the inequality has a y intercept of 5)
The probability distribution of y, a discrete random variable, is given in the table. What is the expected value of y?
Answers
Answer:
35.5
Step-by-step explanation:
got it right on edumentum
Jill is 5 kilometers away from Joe. both begin to walk toward each other at the same time. Jill walks at 1 km/hr. they meet in 2 hours. how fast is Joe walking? show work plz
Answers
Answer:
1.5km/hr.
Step-by-step explanation:
jill is walking 1 km/hr. and meets in 2 hours. so jill crossed 2 km in 2 hours. so joe has to (5-2) or 3 km and he walked 3 km on 2 hours as the question. that means joe was walking 3/2 km/hr or 1.5 km/hour
I will give brainliest to the quick and correct answer.. Please Help!
Drag each value or expression to the correct location on the equations and sentences. Each value and expression can be used more than once, but not all values and expressions will be used. Gary works at a bakery, and he needs to select a rectangular cookie sheet with an area of 192 square inches. The area of the cookie sheet is represented by the expression given below.
Answers
Answer:
Length is 12 and width is (x+4) means 16
Step-by-step explanation:
Given:
Area of cookie sheet = 192 in²
Area = x² + 4x
Computation:
x² + 4x = 192
x(x + 4) = 192 , The length is x and width is (x+4)
x² + 4x -192 = 0
x² + (16 + 12)x -192 = 0
x² + 16x + 12x -192 = 0
x(x + 16) - 12(x + 16)
(x + 16)(x - 12)
Because length can not be negative (-16) so,
Length is 12 and width is (x+4) means 16
Please Help Me ASAP!!! Factor completely. x^2 + 5x + 6 Enter your answer in the box.
Answers
Answer:
Answer is (x+3)(x+2)
3 time 2 equal 6
While 3 plus 2 equal 5
plz mark brainliest if this helps!
Which inequality is true?
A. 6 – 7 > 3
B. 12 > 4
C. 87 > 24
D. 3.14 + 3 < 6
Answers
Answer:
A
Step-by-step explanation:
Answer:
the awnser is a
Step-by-step explanation:
Select the correct answer. Mark, Chase, and Beatrice are running a 100-meter race. Which list represents the sample space of all the possible ways in which the three runners can win first, second, and third places? If there were four runners and three positions to be won, what would the sample size be? A. The sample space is {MBC, BCM, CMB}. If there were four runners, the sample size would be 4. B. The sample space is {MBC, MCB, BCM, BMC, CBM, CMB}. If there were four runners, the sample size would be 24. C. The sample space is {MBC, BCM, CMB}. If there were four runners, the sample size would be 4. D. The sample space is {MBC, MCB, BCM, BMC, CBM, CMB}. If there were four runners, the sample size would be 16.
Answers
Answer:
B. The sample space is {MBC, MCB, BCM, BMC, CBM, CMB}. If there were four runners, the sample size would be 24.
Step-by-step explanation:
I got it right on edmentum
The sample space is {MBC, MCB, BCM, BMC, CBM, CMB}. If there were four runners, the sample size would be 24. Then the correct option is B.
What are permutation and combination?A permutation is an act of arranging items or elements in the correct order.
Mark, Chase, and Beatrice are running a 100-meter race.
The sample space of all the possible ways in which the three runners can win first, second, and third places will be
⇒ 4 x 3 x 2
⇒ 24
Then the correct option is B.
More about the permutation link is given below.
https://brainly.com/question/11732255
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4x - 20 = 2x + 4 please expand
Answers
Answer:
The value of x in this equation is 12.
Step-by-step explanation:
4x - 20 = 2x + 4
Subtract 2x from 4x because they are like terms. Both terms have a variable of x attached to them.
2x - 20 = 4
Add 20 to 4 because they are also like terms.
2x = 24
Divide 2 on both sides of the equation so we can get x by itself and see what x is equals to.
x = 12
So, the value of x in this equation is 12.
Answer:
x = 12
Step-by-step explanation:
4x - 20 = 2x + 4
4x - 2x = 4 + 20
2x = 24
x = 24/2
x = 12
Hey guys please help find the area
Answers
Step by step Explanation:
Due to the fact that they provided to you that the triangle is 45-45-90 triangle you know that the legs other than the hypotenuse are x and that the hypotenuse is labeled as x root 2.
3 times root 2 equals 3 root 2
Square formula: l*w
3 root 2 times 3 root 2 equals 18 because when there is a perfect square in the radical we take it out and multiply it to the coefficient. For example if 121 is inside the radical we take out 11 because 11 * 11 = 121. In this case 2 * 2 = 4 so we take the 2 and multiply it to 9 and we get 18.
Solving absolute value inequalities requires solving compound inequalities.
O True
O False
Answers
The statement "Solving absolute value inequalities requires solving compound inequalities" is False.
Absolute value inequalities and compound inequalities are two different types of inequalities, and solving them involves different methods. Here's a brief explanation:
Absolute value inequalities: An absolute value inequality involves an expression enclosed within absolute value symbols [tex](| |)[/tex].
To solve such an inequality, follow these steps:
Set up two separate inequalities: one with the expression inside the absolute value symbols greater than or equal to zero, and the other with the expression negated and greater than or equal to zero.Solve each inequality separately to find the possible solutions.Combine the solutions from both inequalities to determine the final solution set.Compound inequalities: A compound inequality consists of two or more inequalities joined by the logical operators "and" or "or."
To solve a compound inequality, follow these steps:
Solve each individual inequality separately.Combine the solutions based on the logical operators:If the compound inequality is joined by "and," the solution is the intersection of the individual solutions.If the compound inequality is joined by "or," the solution is the union of the individual solutions.Therefore, solving absolute value inequalities does not require solving compound inequalities. These are distinct concepts in mathematics.
Learn more about compound inequalities here:
https://brainly.com/question/27031048
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