What is the area, in square inches, of the trapezoid below

What Is The Area, In Square Inches, Of The Trapezoid Below

Answers

Answer 1

Answer:

89.2 in^2

Step-by-step explanation:

1/2(15.7+6.6)(8)

=89.2 in^2

Answer 2

Answer:

A = 89.2 in²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 8, b₁ = 6.6, b₂ = 15.7 , then

A = [tex]\frac{1}{2}[/tex] × 8 × (6.6 + 15.7) = 4 × 22.3 = 89.2 in²


Related Questions

help can you please help question a b and c
(with the working out)​

Answers

Answer:

a) 12 'o' clock, b) 30 minutes c) you can do it your answer may differ

Step-by-step explanation:

a) look closely you will see it is 24 hours format, so it is proved she starts going to town at that that time

b) look you there is a downward movement of graph means it shows she is not travelling she is resting done let after 1500 or 3:00pm and before 1600 or 4:00pm point be 3:30 so till 3:30 to 4:00 rested in town

c) answer may differ

pls thank me and mark brainliest if you can

Nimo stayed in town for 100 units(Seconds? Minutes?)

Nimo traveled 1 kilometer in the time of 100 units. He then took a break for 50 units and traveled half of a kilometer over the time of 100 units and took a break for another 100 units. He then traveled back home in 50 units.

find the area of rectangular ground of length 25 square root 3 and breadth 20 square root 6 meter​

Answers

Answer:

500 square root and 18 metres

someone help me please with this algebra homework

Answers

Answer: second choice!

Step-by-step explanation:

Dave and Ellen are newly married and living in their first house. The yearly premium on their homeowner's insurance policy is $450 for the coverage they need. Their insurance company offers a 5 percent discount if they install dead-bolt locks on all exterior doors. The couple can also receive a 2 percent discount if they install smoke detectors on each floor. They have contacted a locksmith, who will provide and install dead-bolt locks on the two exterior doors for $50 each. At the local hardware store, smoke detectors cost $7 each, and the new house has two floors. Dave and Ellen can install them themselves.

Answers

Answer:

A. 4.44years

B. 1.5years

C. Yes

Step-by-step explanation:

a. Calculation to determine how many years will it take Dave and Ellen to earn back in discounts the cost of the dead-bolts

First step is to determine the Annual discount for dead-bolts using this formula

Annual discount for dead-bolts=Discount percent × Annual premium

Let plug in the formula

Annual discount for dead-bolts=0.05 × $450

Annual discount for dead-bolts=$22.50

Now let determine the Recovery period using this formula

Recovery period=Cost of dead-bolts / Annual discount for dead-bolts

Let plug in the formula

Recovery period= (2 × $50)/ $22.50

Recovery period=$100/$22.50

Recovery period= 4.44years

Therefore Assuming their insurance rates remain the same, how many years will it take Dave and Ellen to earn back in discounts the cost of the dead-bolts will be 4.44years

b. Calculation to determine How many years will it take Dave and Ellen to earn back in discounts the cost of the smoke detectors

First step is to calculate the Annual discount for smoke alarms using this formula

Annual discount for smoke alarms=Discount percent × Annual premium

Let plug in the formula

Annual discount for smoke alarms=0.02 × $450

Annual discount for smoke alarms=$9.00

Now let determine the Recovery period using this formula

Recovery period=Cost of smoke alarms / Annual discount for smoke alarms

Let plug in the formula

Recovery period=(2 × $7) / $9.00

Recovery period=$14/$9.00

Recovery period= 1.5 years

Therefore How many years will it take Dave and Ellen to earn back in discounts the cost of the smoke detectors will be 1.5years

C. YES, Based on the information I WOULD recommend Dave and Ellen to invest in the SAFETY ITEMS, if they plan to stay in that house for about 5 years reason been that a home that is equipped with HOME SAFETY ITEMS can help to prevent UNFORESEEABLE ACCIDENTS that may occur, which is why SAFETY ITEMS is vital for every home regardless of the recovery period.

An operator in the plant receives a monthly salary. His rent, which is $849, takes up exactly 1/3 13 of his pay. What is his total pay per month?

Answers

Answer:

Below.

Step-by-step explanation:

(1/3)X = 849

x = 849*3 = 2547

The total pay per month of an operator is equal to $2547.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that an operator in the plant receives a monthly salary. His rent, which is $849, takes up exactly 1/3.

The total monthly salary will be calculated as,

(1/3)X = 849

X = 849 x 3

X= 2547

Therefore, the total pay per month of an operator is equal to $2547.

To know more about an expression follow

https://brainly.com/question/20912045

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The coordinates of the point that is a reflection of Y(-4, -2) across the x-axis are (_,_)
The coordinates of the point that is a reflection of Y across the y-axis are (_,_) also anwser the top u know

Answers

Answer:

(-4,2)

Step-by-step explanation:


Numbers are formed using the digits 1, 2, 3, 4, 5, 6. If no digit may be repeated, how many two-digit
numbers can be formed
A. 15
B. 20
C. 30
D. 6

Answers

I got 20.

I may have done it wrong so maybe wait until others have answered.

2/5x - 1/5y = 98
2/7x - 1/14y = 55
If the ordered pair (x, y) satisfies the system of
equations shown above, what is the value of x?

Answers

Answer:

x = 140

Step-by-step explanation:

Given the equations

[tex]\frac{2}{5}[/tex] x - [tex]\frac{1}{5}[/tex] y = 98 ( multiply through by 5 to clear the fractions )

2x - y = 490 → (1)

[tex]\frac{2}{7}[/tex] x - [tex]\frac{1}{14}[/tex] y = 55 ( multiply through by 14 to clear the fractions )

4x - y = 770 → (2)

Subtract (1) from (2) term by term to eliminate y

2x + 0 = 280

2x = 280 ( divide both sides by 2 )

x = 140

The death rate per 100,000 for lung cancer is 7 among non-smokers and 71 among smokers. The death rate per 100,000 for coronary thrombosis is 422 among non-smokers and 599 among smokers. The prevalence of smoking in the population is 55%. What is the relative risk of dying of coronary thrombosis for smokers versus nonsmokers

Answers

Answer:

1.4194

Step-by-step explanation:

death rate per 100000 for cancer

for non smokers, death rate = 7

for smokers death rate = 71

death rate per 100000 coronary thrombosis

for non smokers = 422

for smokers = 599

relative risk of dying from cancer

= number of smokers / number of non smokers

= 71/7

= 10.14

relative risk of dying from coronary thrombosis

= number of smokers/number of non smokers

= 599/422

= 1.419

the relative risk of dying of coronary thrombosis is 1.4194

= 10.14

what is the answer for 9x² + 3xy - 12x - 4y ​

Answers

Answer:

(3x + y)(3x - 4)

Step-by-step explanation:

9x² + 3xy - 12x - 4y ​=

There is no common factor in the 4 terms.

Since there are 4 terms, we try factoring by grouping.

Find a common factor in the first two terms, and find a common factor in the last two terms.

= 3x(3x + y) - 4(3x + y)

Now factor out the common factor 3x + y.

= (3x + y)(3x - 4)

Sales tax is 6% using only one term write an expression to represent the discounted price of the phone including tax.

Answers

The price of phone is stated, taking the price of the phone as p and the discount on sale as 20%

Answer:

0.848p

Step-by-step explanation:

Price of phone = p

Sales tax = 6%

Discount on sale = 20%

With a 20% discount, the discounted price of the phone will be :

100%p - 20%p = 80%p = 0.8p

The sales tax will increase the price thus ;

0.8p + 6% of 0.8p

0.8p + 0.06 * 0.8p

0.8p + 0.048p

The cost of the phone including tax becomes ; (0.8p + 0.048p) = 0.848p

Drag each condition to the correct location on the table.
Match each condition to the number of triangles that can be constructed to fit the condition.
condition A: one side
measuring 4 inches,
another side measuring
8 inches, and a third
side measuring 10 inches
condition B: one angle
measuring 60°, another
angle measuring 40°, and
a third angle measuring 90°
condition C: one side
measuring 4 inches,
another side measuring
8 inches, and the angle
between them measuring 70°
condition D: one side
measuring 5 inches,
another side measuring
7 inches, and a third
side measuring 12 inches
condition E: one angle
measuring 30°, another
angle measuring 80°,
and the length of the
included side measuring
8 inches
condition F: one angle
measuring 40°, another
angle measuring 80°, and
a third angle measuring 60° I don't know how to do a pic, but it is no triangle one triangle and many triangle

Answers

Answer:

Condition A= 320 inches

Condition B= 190 Degrees F

Condition C= 2240 inches

Condition D= 350 inches

Condition E= 110 Degrees F 8 inches

Condition F= 180 Degrees F

Step-by-step explanation:

4 inches

8 inches

70 inches

60 D

40 D

90 D

4 inches

8 inches

70 D

5 inches

7 inches

12 inches

30 D

80 D

8 inches

40 D

80 D

60 D

Answer:

Condition A= 320 inches

Condition B= 190 Degrees F

Condition C= 2240 inches

Condition D= 350 inches

Condition E= 110 Degrees F 8 inches

Condition F= 180 Degrees F

Step-by-step explanation:

sin^2x + sin2x +2cox^2x = 2

Answers

Answer:

Step-by-step explanation:

[tex]sin^2 \ x + sin ^2 \ x + 2cos^ 2\ x = 2\\\\2sin^2 \ x + 2 cos^2 \ x = 2\\\\2 ( sin^2 \ x + cos^2 \ x ) = 2 \\\\2 \times 1 = 2 \\\\2 = 2 \\\\LHS = RHS \\\\Hence \ proved.[/tex]

suppose 2 standard 6 sided dice are rolled at the same time. what is the smaple space for the multiplication of the values for the 2 die

Answers

Answer:

Step-by-step explanation:

Following is the sample space for all the possible outcomes when 2 standard 6-sided dice are rolled simultaneously:

1 2 3 4 5 6

1 1,1 1,2 1,3 1,4 1,5 1,6

2 2,1 2,2 2,3 2,4 2,5 2,6

3 3,1 3,2 3,4 3,4 3,5 3,6

4 4,1 4,2 4,3 4,4 4,5 4,6

5 5,1 5,2 5,3 5,4 5,5 5,6

6 6,1 6,2 6,3 6,4 6,5 6,6

Therefore the sample space for the multiplication of the two values in each possible outcome:

elements of the set are:

1*1=1

1*2=2

1*3=3

...........

2*1=2

2*2=4

2*3=6

.............

so on...

Therefore the complete set:

S={ 1, 2, 3, 4, 5, 6, 2, 4, 6, 8, 10, 12, 3, 6, 9, 12, 15, 18, 4, 8, 12, 16, 20, 24, 5, 10, 15, 20, 25, 30, 6, 12, 18, 24, 30, 36 }

ABCD is a rectangle. Find the length of segment AC

Answers

Answer:

52

Step-by-step explanation:

First, find x. As BE and DE will have the same measurements, you can set your formula up as

5x+11=3x+17

5x=3x+17-11

5x-2x=6

2x=6

x=6/2

x=3

CE and AE will also have the same value, now substitute 3 in place of x to get the value of segment BE

5x+11

5*3+11 = 26

This also means that CE = 26 and AE = 26

AC = CE + AE

AC = 52

A post office charges 50k for a telegram of 15 words or less it charges an extra 3k for every word above 15 words find the cost of 30 words

Answers

Answer:

95k

Step-by-step explanation:

Given :

15 words or less = 50k

Every word above 15 = additional 3k

The cost of 30 words :

First 15 words = 50 k

Number of additional words = (30 - 15) = 15 words

Cost of every additional word = 3 k

Cost of 15 additional word = 15 * 3 = 45k

Total cost of 30 words :

50k + 45k = 95k

A company is selling specialty ice cream. Their profit is modeled by the equation p(x) = x2 + 3, where x represents the number of cartons sold. Their cost to make the carton is represented by c(x) = -3x + 24, where x represents the number of cartons produced.

A. What does it mean to find the solution to this system?

B. What is the solution to the system? How did you find the solution?

C. What does the solution mean in context of the problem?

D. How do you solve this system when x does not stand for the same thing? What system are you referring to?

Answers

Answer:

The given function for the profit of the company  is p(x) = x² + 3

The function for the cos of the company, c(x) = -3·x + 24

Where;

x = The number of cartons sold

A. To find the solution of the system means to find the number of cartons sold at which the profit and cost are equal

B. The solution of the system can be found by equating both functions as follows;

p(x) = c(x)

Therefore;

x² + 3 = -3·x + 24

∴ x² + 3 + 3·x - 24 = 0

x² + 3·x - 21 = 0

x = (-3 ± √(3² - 4×1×(-21)))/(2 × 1)

∴ x = (-3 ± √(93))/2

x = (-3 + √(93))/2 ≈ 3.32 or x = (-3 - √(93))/2 ≈ -6.32

Therefore, the possible solution is x = (-3 + √(93))/2 ≈ 3.32

C. The solution means that when the company sells about 3 cartons of specialty ice, the cost to make the carton and the profit from selling the cartons will be approximately equal

D. Part 1

To solve the system, we rewrite the functions using common variables, to obtain a consistent system of equations

Part 2 Inconsistent system of equations

When x does not stand for the same thing in both equations, we have an inconsistent system of equations and there are no solutions

Step-by-step explanation:

How many solutions are there to the equation below? 9(x – 4) = 9x – 33

Answers

Answer:

There are 0 solutions

Step-by-step explanation:

9(×-4)=9×-33

9×-36=9×-33

9×-9×-36=-33

-36=-33 and it's impossible

so there's 0 solutions

A clothing store offers a free T- shirt when a customer spends $75 or more. Lyndon has already spent $36.95 which statement best represents all of the amounts he can spend to get a free T-shirt

Answers

$38.05 or more because you need a minimum of $38.10

Tap on the picture! Needing help ASAP please♥️

Answers

Step-by-step explanation:

everything can be found in the picture

I will mark brainliest!!

Answers

The answer is A

Hope this helps and mark me as brainlist

Would appreciate I’m so far behind :/

Answers

Answer:

C

Step-by-step explanation:

Given the graph of f(x) then the graph of f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Here the graph has been shifted 2 units to the right , then

f(x) = (x - 2)²

Given the graph of f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here the graph has ben shifted 4 units up

Thus

f(x) = (x - 2)² + 4 → C

The answer c comment if you need a explanation

what is the value of the determinant? ​

Answers

Answer:

The value of the determinant is 0.

Step-by-step explanation:

Since it is a 3 x 3 determinant, we can calculate its value by the Law of Sarrus:

[tex]Det = (11)\cdot (98)\cdot (26\cdot y) + (97)\cdot (24\cdot y) \cdot (13) + (22\cdot y) \cdot (12) \cdot (99) - (22\cdot y) \cdot (98) \cdot (13) - (97)\cdot (12) \cdot (26\cdot y) - (11) \cdot (24\cdot y) \cdot (99)[/tex]

[tex]Det = 28028\cdot y + 30264\cdot y + 26136\cdot y - 28028\cdot y - 30264\cdot y - 26136\cdot y[/tex]

[tex]Det = 0[/tex]

The value of the determinant is 0.

Susanna deposits $400 in a savings account with an interest rate of 3% compounded annually. What equation could Susanna use to calculate how many years it will take for the value of the account to reach $600?

Fill in the values of A, b, and c to write the equation modeling this situation.

Answers

Answer:

So, you have $400savings, 3%intrest rate, you'll need to have $400 and a 10%intrest rate.

I hope this helps

Step-by-step explanation:

Using the segment addition postulate, which is true?

Answers

Answer:

I don't know your question sorry

answer please i need to pass this class

Answers

Answer:

b

Step-by-step explanation:

Answer: B (option 3)

Step-by-step explanation:

When you multiply [tex]\sqrt{b}[/tex] by itself, the two square roots cancel our, giving you just b.

Emmy just bought a new laptop! She used a student discount code that took $50.75 off the original price. The discounted price of the laptop was $349.24. Let p represent the original price of the laptop. Which equation models the problem?

Answers

Answer:

can you show the equations?

PLEASE GIVE AN ANSWER AND EXPLANATION! I BEG YOU. I REALLY NEED SOMEBODY TO ANSWER!!!

Answers

Answer:

27y^12

Step-by-step explanation:

you multiply the exponents together

in this case: 4×3=12

and then multiply the base number by 3 as well.

NEED ANSWER ASAP GIVING BRAINLIEST

Answers

-1 is the x coordinate. 1 is the y coordinate. (-1, 1)

Answer:

(-1,1)

Step-by-step explanation:

(x,y), and X is one unit to the left (negative, or -), while Y is one unit up

5. If 40 of 160 moviegoers who watched a certain movie said that they would like to see the movie again, what is the probability that any moviegoer who saw the said movie would like to see it again? A. 0.25
B. 0.50
C. 0.75
D. 0.85​

Answers

Answer: A. 0.25

Step-by-step explanation:

You need to divide 40 by 160 to calculate the percentage.

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