Answer: 12 inches
Step-by-step explanation: In this problem, since we're asked to find the length of the median, let's use our formula for the area of a trapezoid that involves the median which is shown below.
Area = median · height
We know that the area is 144 and the height is 9 so we can set up the equation 144 = M · 12. Now to solve for m, we divide both sides of the equation by 12 and we find that 12 = M.
So the length of the median of the trapezoid is 12 inches.
Given an area of 144 square inches and a height of 12 inches, the median is found to be 24 inches.
To find the length of the median of a trapezoid, we can use the formula for the area of a trapezoid, which is:
Area = 0.5 × (Base1 + Base2) × Height
We are given that the area is 144 square inches and the height is 12 inches. The formula can be rearranged to solve for the average of the two bases or the median (M):
144 = 0.5 × M × 12
Simplifying this equation, we get:
M = (144 × 2) / 12
M = 288 / 12
M = 24 inches
Thus, the length of the median is 24 inches.
Simplify the following expression.
[tex]4a^{-2} b
[/tex]
Answer: C
Step-by-step explanation:
The grid shows a section of the beach in Coast City where each square has sides that are 100 yards long.
On a coordinate plane, the beach front is about 800 yards long. From the south pier to the north pier along harbor drive and park street, the distance is 1200 yards long.
Lisa walked from the South Pier to the North Pier along the beachfront. Deanna walked from the South Pier to the North Pier along Harbor Drive and Park Street. Which statement best describes the distances the two women walked?
a. Lisa walked about 400 yards farther than Deanna.
b. Lisa walked the same distance as Deanna.
c. Lisa walked about 400 yards less than Deanna.
d. Lisa walked about 400 yards.
Mitchell and Luke record the number of deliveries they each make for their family's restaurant. The results are shown in the box plots below.
Select the true statement.
The interquartile range of Mitchell's data is greater than the interquartile range of Luke's data.
Mitchell's data and Luke's data have the same interquartile range.
The median number of deliveries made by Mitchell each week is greater than the median number of deliveries made by Luke each week.
The median number of deliveries made by Mitchell each week is equal to the median number of deliveries made by Luke each week.
Answer:
A. The interquartile range of Mitchell's data is greater than the interquartile range of Luke's data.
Step-by-step explanation:
7^-5 times 7^3 equals what, I need help asap please
Which answer choice below correctly identifies the 202nd term in the sequence 5, 10, 15, 20, 25 …?
Answer:
answer is : A. 1010
Step-by-step explanation:
Part 1 (Unit 2): Subtract Polynomials:
(3−6n5−8n4)−(−6n4−3n−8n5)
Part 2 (Unit 3): Solve this quadratic equation. Show all your work (steps) for full credit:
4x2−2x−5=0
i need help with number 2 please p
put the following equation in slope intercept form: 3x - 2y = 14
Use a calculator to find the approximate value of sin-1( 0.655).
Answer:
Radian = 0.7142
Degree = 40.92°
Step-by-step explanation:
Given: [tex]\sin^{-1}(0.655)[/tex]
Let, [tex]y=\sin^{-1}(0.655)[/tex]
It is inverse trigonometry function. We have to use calculator to find angle of trigonometry.
The value of y in two form radian or degree
Using calculator to find the value of y
In radian,
[tex]y=0.7142[/tex]
In degree,
[tex]y=40.92^\circ[/tex]
Hence, The value of [tex]\sin^{-1}(0.655)[/tex] in radian 0.7142 and in degree 40.92°
The Venn diagram represents the results of a survey that asked participants whether they would want a dog or a cat as a pet.
Enter your answers in the boxes to complete the two way table based on the given data.
Dog Not dog Total
Cat ___ ___ ____
Not
Cat ___ ____ ____
Total ___ ____ ____
Arrange the numbers shown on the diagram into the correct category:
Dog Not dog Total
Cat 31 10 41
Not Cat 24 7 31
Total 55 17 72
Choose the ratio you would use to convert 88 pounds to ounces remember that there are 16 ounces in 1 pound
A. 1 pound/16 ounces
B. 16 ounces/ 1 pound
C. 1 ounce/ 88 pounds
D. 88 ounces/ 1 pound
Answer:
The ratio that we use to convert 88 pound to ounces is:
B. 16 ounces/1 pound
Step-by-step explanation:
There are 16 ounces in 1 pound
i.e. 1 pound=16 ounces
88 pound=88 pound × 16 ounces/1 pound
Hence, the ratio that we used to convert 88 pound to ounces is:
B. 16 ounces/1 pound
A toy store marks up wooden yoyos 50%. If the wholesale price of each yoyo is $2.20, what will be the price per yoyo at the cash register?
Answer:
1.10
Step-by-step explanation:
because 2.2o divided by half 1/2 or 50% off is 1.10 to check your work it is 1.10+1.10=2.20
6x – 2y = 10 2x + 3y = 51 solving the first equation above for y gives:
what is f(5) if f(x)=8x-3
Answer:
f(5)=37
Step-by-step explanation:
We have the function f(x)=8x-3,
f(5) is the value of the function f when x=5, then you have to replace f(x) with x=5,
f(x)=8x-3
f(5)=8.(5)-3
f(5)=40-3
f(5)=37
Please help me with my question
Antar is flying a triangular-shaped kite. it has a height of 41/2 feet and a base of 53/4 feet. what is the area of antar's kite?
Answer:
12.94
Step-by-step explanation:
What is the answer to 5+14a=9a−5
(-6-8i) + (-6-i)
study island question please help
The side of a square measures 3mn^2. What is the area of the square if m=4 and n= -2
!!!!PLEASE HELP, WILL GIVE BRIANLIEST!!!!
Which three-dimensional figure is formed by the rotation given?
The first picture is the rotation, the rest are the choices.
what does 3P2 equal?
Find the x-intercept of the function: f(x) = 6x - 2. Round answer to the nearest hundredth, if necessary. A) (0.39, 0) B) (1.00, 0) C) (2.58, 0) D) (3.00, 0)
The center of a circle is at (-5, 7) and its radius is 6 units. Which of the following is the equation for this circle?
A) (x - 5)2 + (y + 7)2 = 36
B) (x + 5)2 + (y - 7)2 = 36
C) (x - 5)2 + (y + 7)2 = 12
D) (x + 5)2 + (y - 7)2 = 12
Answer:
Option B, (x + 5)² + (y - 7)² = 36
Explanation:
The equation for a circle is (x - h)² + (y - k)² = r² where r represents the radius of the circle and the center is ordered pair (h, k).
We can then plug the given information into the formula and simplify where possible.
Center at (-5, 7), radius = 6:
[x - (-5)]² + (y - 7)² = (6)²
(x + 5) + (y - 7)² = 36, which matches option B.
What is the equation for a circle that has a center at -6,5 and passes through the point -11,3?
The fractions of -42/-45 and 14/15 are equivalent
Answer:
True
Step-by-step explanation:
A bag contains 8 blue marbles 5 red marbles and 2 orange marbles , Carolina picks a marble from the bag at random and returns it to the bag and makes a second random selection . What is the probability that two blue marbles were selected
What is a population?. a population is the set containing all the people or objects whose properties are to be described and analyzed by the data collector.
b. a population is a set of data.
c. a population is the set of all the properties that can be assigned to any people or objects in a given sample.
d. a population is a group that exhibits characteristics typical of those possessed by the target sample?
The term population is the set containing all the people or objects whose properties are to be described. Hence, option (a) is correct.
What is Population?A community is a distinct group of people, creatures, or other objects that can be recognized for the purposes of data gathering and analysis by at least one shared trait.
The majority of the time, data is collected from samples in order to learn more about huge populations. For instance, market researchers might randomly contact a small percentage of the town's subscribers to major carrier services who were born between 1980 and 2004 if they wanted to obtain representative statistics for Millennial consumers of mobile phones who did not have a landline in New York City (the population).
To know more about Population:
https://brainly.com/question/27991860
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2%2, percent of the students at Hamilton Middle School have red hair. There are 700700700 students at Hamilton Middle School. How many students at Hamilton Middle School have red hair?
Answer:
14 students have red hair.
Step-by-step explanation:
In Hamilton Middle School 2% of the students have red hair .
Total number of students in the school = 700
We have to calculate the number of students who have red hair.
2% of 700 students.
= [tex]\frac{2}{100}[/tex] × 700
= 0.02 × 700
= 14 students.
14 students have red hair in Hamilton Middle School.
the weight of an object on mars varies directly as the weight of the object on earth a 90 pound object on earth weighs 34 pounds on mars.if an object weighs 135 pounds on earth how much does it weigh on mars
We have been given that the weight of an object on the mars varies directly as the weight of the object on earth.
Let y be weight of an object on Mars and x be weight of an object on Earth.
[tex]\\ y=kx[/tex]
We have been given that the weight of an object on Mars is 34 pounds and weight of the same object on Earth is 90 pounds.
Putting the given values in equation we get
[tex]\\ 34=k(90)\\ \\ k=\frac{34}{90}=\frac{17}{45}[/tex]
Therefore, our equation now becomes
[tex]\\ y= \frac{17}{45}x[/tex]
Now we have been given that the weight of an object on Earth is 135 pounds and we have to find the weight of the same object on Mars,
We have been given that [tex]\\ x=135[/tex]
Putting the given values in our equation we get
[tex]\\ y= \frac{17}{45}(135)=\frac{17\cdot 135}{45}=17\cdot 3 = 51[/tex]
Therefore weight of the object on Mars will be 51 pounds.
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!! What is the simplified form of the expression (3x^7/2)^6 (x^2)^6
A. x^33
B. 3x^29
C. 729x^29
D 729x^33
The length of a rectangle is 5 cm longer than its width. find the width given that the area is 36cm