What is the area of this isosceles trapezoid?
96 square units
60 square units
72 square units
48 square units
Answers
0.5 x h x (b + a)
b = 6 + 3 + 3 = 12
h = 8
a = 6
0.5 x 8 x (12 + 6)
4 x 18 = 72
A = 72 square units
Related Questions
A computer is programmed to generate a sequence of three digits, where each digit is either 0 or 1, and each of these is
equally likely to occur. Construct a sample space that shows all possible three-digit sequences of 0s and 1s and then find
the probability that a sequence will contain exactly one 0.
A. 000, 001, 010, 011, 100, 101, 110, 111; the probability is 7/8
B. 001, 011, 101, 111; the probability is 2/8
C. 000, 010, 011, 101, 111, the probability is 2/8
D. 000, 001, 010, 011, 100, 101, 110, 111, the probability is 3/8
Answers
Answer:
A
Step-by-step explanation:
on edge2021
The probability that a sequence will contain exactly one zero is true in options {B}, {C} and {D}.
We can write the formula for probability as -
P{Event} = (no. of favorable outcomes)/(Total no. of favorable outcomes)
For the sequence {A} -
000, 001, 010, 011, 100, 101, 110, 111
P{one zero} ≠ 7/8
For the sequence {B} -
001, 011, 101, 111
P{one zero} = 7/8
For the sequence {C} -
000, 010, 011, 101, 111
P{one zero} = 2/8
For the sequence {C} -
000, 001, 010, 011, 100, 101, 110, 111
P{one zero} = 3/8
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Jack wants to buy 30 chocolate chip cookies that are $1.25 each. If sales tax is 7.5%. What will Jack’s total bill be?
Answers
Answer:
which will be about $2.81
Step-by-step explanation:
30 times 1.25 = 37.50
then multiply that by 7.5%
i may be wrong. i am sorry if i am worong
Answer:
$318.75
Step-by-step explanation:
30 cookies x $1.25 = $37.5
37.5 x 7.5% tax = 281.25
37.5 + 281.25 = 318.75
a plumber works $22 per hour. the hourly rate increases 3% each year. a. write a function the represents the plumbers hourly rate after t years b. what is the plumbers hourly rate after 8 years.
Answers
Answer:
Step-by-step explanation:
Assuming t = two years
3% of $22.00 = .66
step-by-step
3 percent *22.00 =
(3:100)*22.00 =
(3*22.00):100 =
66:100 = 0.66
A) .66x2 = 1.32 + 22.00 = 23.32
after 2 years the plumber will make $23.32 per hour
B) .66x8 = 5.28 = 22.00 = 27.28
after 8 years the plumber will make $27.28 per hour
The required hourly rate for a plumber after 8 years will be $27.86 per hour.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
here,
As mentioned in the question, a plumber works for $22 per hour. the hourly rate increases by 3% each year.
Let y be the hourly rate of the plumber after t years,
[tex]y = 22 [1 + 0.03]^t\\y = 22[1.03]t[/tex]
Put t = 8
[tex]y = 22 [1.03]^8\\y = 27.86[/tex]
Thus, the required hourly rate for a plumber after 8 years will be $27.86 per hour.
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A fast food chain surveyed a random sample of students to determine what pizza they prefer. Cheese pizza was preferred by 40 students. Pepperoni pizza was preferred by 28 students. Based on the results, how many of the 340 students can be expected to prefer cheese pizza?
Answers
Answer:
11.76
Step-by-step explanation:
We are given that,
Total number of students = 340
Students that prefer cheese pizza = 40
Students that prefer pepperoni pizza = 28
Thus, we get that,
The proportion of students that prefers cheese pizza =
i.e. The proportion of the students preferring cheese pizza = 0.1176 = 11.76%
Hence, 11.76% of the students prefer cheese pizza.
Due to client growth, Dr. Smith must increase his amount of kennel space from
11 kennels to 25 kennels. How many kennels will Dr. Smith need to add to the
clinic?
Answers
Answer:
14
Step-by-step explanation:
25-11 = 14
h(x) = x2 – 3
If the graph of h is translated vertically upward by 4 units, it becomes the graph of a function g.
Find the expression for g(x).
Answers
Answer:
[tex]g(x)=x^2+1[/tex]
Step-by-step explanation:
The given function is
[tex]h(x)=x^2-3[/tex]
If a function translated vertically upward by p units, then we need to add p in the function value to get the new function.
It is given that if the graph of h is translated vertically upward by 4 units, it becomes the graph of a function g. So,
[tex]g(x)=h(x)+4[/tex]
[tex]g(x)=x^2-3+4[/tex]
On simplification, we get
[tex]g(x)=x^2+1[/tex]
Therefore, the required function is [tex]g(x)=x^2+1[/tex].
please help me
f(x) =3x^2 + 2x - 1
what is f(5)
Answers
Answer:
17
Step-by-step explanation:
f(5)=3(5)+2. f(5)=17
Answer:
f(5) = 84Step-by-step explanation:
f(x) =3x^2 + 2x - 1
what is f(5)
f(5) = 3(5)² + 2(5) - 1
f(5) = 75 + 10 - 1
f(5) = 84
Your teacher is giving away candy from a bag. The bag contains 5 Reese's Peanut
Butter Cups, 4 Snickers, 3 Sour Patch, & 6 Skittles. Find the probability that you and
your friend choose Snickers. Find P(Snickers n Snickers).
Answers
Answer:
P(Snickers n Snickers) = [tex]\frac{2}{51}[/tex]
Step-by-step explanation:
Given
Bag of candy
5 Reese's Peanut Butter Cups,
4 Snickers
3 Sour Patch
6 Skittles
Required
Calculate P(Snickers n Snickers)
To solve this question, it'll be assumed that you and your friend selected snickers at a consecutive time.
First, we need to calculate the total number of candy
Total = 5 + 4 + 3 + 6
Total = 18 candies
P(Snickers n Snickers) means P(Snickers and Snickers);
i.e. the probability of selecting snicker twice
Number of snickers = 4;
So, the probability of you selecting a snicker first is [tex]\frac{4}{18}[/tex]
This is gotten by dividing number of snickers by total candies.
At this point, there are 4 - 1 snickers left and there are 18 - 1 candies left;
So, the probability of your friend selecting a snicker is [tex]\frac{4 - 1}{18 - 1}[/tex].
So, P(Snickers n Snickers) = [tex]\frac{4}{18}[/tex] * [tex]\frac{4 - 1}{18 - 1}[/tex]
P(Snickers n Snickers) = [tex]\frac{4}{18}[/tex] * [tex]\frac{3}{17}[/tex]
P(Snickers n Snickers) = [tex]\frac{2}{9}[/tex] * [tex]\frac{3}{17}[/tex]
P(Snickers n Snickers) = [tex]\frac{2}{3}[/tex] * [tex]\frac{1}{17}[/tex]
P(Snickers n Snickers) = [tex]\frac{2}{51}[/tex]
Hence, the probability of you and your friend choosing snickers is [tex]\frac{2}{51}[/tex]
(08.06 LC)
Variable b is 7 more than variable c. Variable b is also 1 less than variable c. Which pair of equations best models the relationship between b and c? (1 point)
a
b = c + 7
b = c − 1
b
b = c − 7
b = c + 1
c
c = b + 7
c = b − 1
d
c = b − 7
c = b − 1
Answers
Answer:
First one
Step-by-step explanation:
Variable b is 7 more than variable c:
b = c + 7
Variable b is also 1 less than variable c:
b = c - 1
Answer:
B:
b = c + 7
b = c - 1
Step-by-step explanation:
"Variable b is 7 more than variable c" can be expressed mathematically as
b = c + 7
"Variable b is 1 less than variable c" can be expressed mathematically as
b = c - 1
So the second pair,
b = c + 7
b = c - 1
best models the relationship between b and c
Hope this Helps :)
there's something wrong with my eyes, i can't see when i close them. plz help me!!!!!
Answers
Step-by-step explanation:
Wow no way! You must have like a disorder or smthing! U should go to the doctor right away! U know what, so should I since I have the same problem as u!!
Answer: Your eyelids are doing it’s thing.
Step-by-step explanation: This happens to me as well. I can’t see when I close my eyelids.
Identify a central angle in the figure.
A)
ZBCD
ZBFC
ZFAE
ZFCO
Answers
Answer:
a is your answer is am correct
Three of the bedrooms in Lana’s house are rectangular, each 101/2 feet by 111/4 feet, What is the least amount of carpeting needed to completely cover the three floors?
Answers
Answer:
The answer is D, or 354 3/8 ft^2
when the input of the function is -4 what is the output of the function
Answers
Answer:
The output is 5
Step-by-step explanation:
-4 is the input (x value). To find the output, you have to find where -4 is on the line. -4 is on the line when 5 is the y coordinate (output).
In ABC, A is a right angle. And B = 45 degrees. What is the length of BC
A) 54ft
B) 17√ 3ft
C) 17√ 2ft
D) 17ft
Answers
Given that this is an isosceles triangle (triangle with two congruent sides) and is 45 degrees on both sides then this would be considered a 45-45-90 triangle
The rule for this type of triangle is that going from a congruent side (for example segment AC) to BC would result in your multiply by the square root of 2.
Multiplying square roots and whole numbers are fairly easy, just combine it like multiply with a variable. Since the rule for a 45-45-90 triangle is to multiply the side length by the square root of 2 to get the hypotenuse then you would multiply 17 by the square root of 2 which will give you answer choice C.
If you encounter a similar problem like this but with the hypotenuse to the side length then you would do the OPPOSITE of multiplying by the square root of 2 (which would be dividing the hypotenuse by the square root of 2).
J’ai besoin d’aide pour cette question.
Je vais mettre branliest.
7. Complète le tableau suivant.
A) Un politicien répond à 20 questions en 15 minutes. Il faut le mettre en table de valeurs et en graphique.
Answers
Answer:
tracer des points à (0,0) et (3,4) et connecter des lignes pour créer un graphique
Step-by-step explanation:
J'utilise google translate pour vous aider, IDK
A honey bee has a mass of 100 mg. How many bees would you need for a mass of 3 kg?
Answers
Answer:
you need 3000000 bees
Step-by-step explanation:
1kg=1000000mg.
1000000x3=3000000
hope this helps, have a good day :)
The value of an antique can be predicted by the expression 250 * (1.12) ^ t where is the number of years since 2014. What does the value 250 represent?
Answers
Answer:
mark brainlyest and I will
The value 250 represents the predicted value of antique in year 2014.
Given Expression,
[tex]250\times(1.12)^{t}[/tex]
Here [tex]t[/tex] represents the no. of years since 2014.
Now clearly 250 shows here the predicted price of the antique in year 2014 and [tex](1.12)^t[/tex] shows how much percent the product is increasing over the year.
Hence the value 250 represents the predicted value of antique in year 2014.
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Question 1 Please help. I'm not sure if I'm correct.
If mIJ⌢=46∘, what is the measure of angle HOK?
Answers
Answer:
HOK =167
Step-by-step explanation:
HOK = HOI +IOJ + JOK
= 44+46+ 77
=167
Helppppp
Leia cuts congruent triangular patches with an area of 27 square centimeters from a rectangular piece of fabric that is 18 centimeters long and 6 centimeters wide. How many of the patches can Leia cut from 29 pieces of the fabric?
Answers
Answer:
Leia can cut 108 patches from 27 pieces of fabric.
Step-by-step explanation:
Find the greatest common factor of 6w^3 and 8w.
Answers
Answer:2w
Step-by-step explanation: Find the prime factors of each term in order to find the greatest common factor (GCF).
2w
Water makes about 3/4 of a person’s weight. If a student weighs 100 lbs., how much of his weigh is water?
Answers
Answer:
75 pounds
Step-by-step explanation:
To solve this problem, find 3/4 of 100.
To multiply fractions, multiply the numerators by each other and the denominators by each other.
3/4 * 100/1
Evaluating 3*100 and 4*1, the fraction becomes 300/4.
Now, divide 300 by 4 to get the final answer. 300/4 = 75. Therefore, 75 pounds of the students weight is water.
Answer:
75 lbs
Step-by-step explanation:
3/4 * 100
3 * 100/4
3 *25
75 lbs is water
A snack company makes three batches of a nut mix using the recipe shown.
Each batch contains a different total amount of mix.
Drag numbers to show how much of each type of nut should be used in each batch.
1 of the mix is pistachios.
of the mix is almonds
of the mix is cashews
PLEASE HELP!!!
Answers
Answer:
batch 1
3 cups cashews
batch 2
2/6 or 1/3 cups (simplified) of pistachios
batch 3
1 1/3 cups of almonds
2 cups of cashews
Simplify x 2 − 4x + 4 x 2 − 4
Answers
Look at the attached picture
Hope it will be helpful to you..
which of the following as the same value as 2^3 a. 5 b. 6 c. 8 d. 23 f. none of the above
Answers
Answer:
8
Step-by-step explanation:
2 x 2 = 4 x 2 = 8
Please help me with this
Answers
Answer:
no
Step-by-step explanation:
a 13% discount on an item that costs $1150 will cost u $1000.50
tell me if u want work i assumed u wanted a quick answer since its a quiz
Answer: No, you would still need $0.50
Step-by-step explanation:
1150 x 0.13= 149.5
1150-149.5= 1000.5
Oil is leaking from an oil tanker, and an expanding circle of oil is spreading on the ocean. The radius, r, of the circle measured in inches is modeled by the function r(s)=3 sqrt s, where s is time in seconds. The area of the spill when s=5 seconds is ___ pi square inches.
Answers
Answer:
[tex]Area=45\pi$ square inches[/tex]
Step-by-step explanation:
The radius, r of the expanding circle of oil is modeled by the function:
[tex]r(s)=3\sqrt{s}[/tex], where s is time in seconds.
When s=5
Radius, [tex]r(5)=3\sqrt{5}$ inches[/tex]Area of a circle[tex]=\pi r^2[/tex]
Therefore, area of the oil spill when s=5 seconds is:
[tex]Area=\pi (3\sqrt{5})^2\\=\pi *3^2*(\sqrt{5})^2\\=\pi *9*5\\$Area=45\pi$ square inches[/tex]
The area of the spill when s=5 seconds is 45pi square inches.
I need help with this can you explain how to do this so I can understand please ASAP!!
Answers
Answer: 1.64 2.100
Step-by-step explanation:
The reason for this is squaring something is simply mulyiplying the number by itself. for example
8 squared
there is a 2 above the 8 which means we will do 8x8.
8x8= 64
Hope this helps!!!!
which equation represents the relationship between x and y shown in the table ?
Answers
The equation that represents the relationship between x and y shown in the table is; y= 2x-3
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. the equations that can be solved to get a unique solution. the power of the equation must be in one degree.
First we need to find the slope we will use rise over run to get 2.
The correct equation will replace x with any of the x values in the chart and if we get the same y values as the chart then that equation is correct.
y= 2x-3
If x = 2 and y = 1
Then
y= 2x-3
1 = 2(2)-3
1= 1
Therefore, The equation that represents the relationship between x and y shown in the table is; y= 2x-3
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un unitățile de măsurat lungimea mai mici decât unitatea principală sunt.......................... ................. Și................. Și se numesc................ Metrului. Decametrul, hectometrul și............. sunt................... metrului.
Answers
Answer:
english plz !!!!!!!!!!
Step-by-step explanation:
What value of c makes the equation true? Assume x greater-than 0 and y greater-than 0
RootIndex 3 StartRoot StartFraction x cubed Over c y Superscript 4 Baseline EndFraction EndRoot = StartFraction x Over 4 y (RootIndex 3 StartRoot y EndRoot) EndFraction
c = 12
c = 16
c = 64
c = 81
Answers
Answer:
is C=64
Step-by-step explanation:
Answer:
c=64
Step-by-step explanation:
I took the test
