Answers
Answer:
[tex]153\ in^2[/tex]
Step-by-step explanation:
1. Approach
Divide the given figure up into two simple figures, a trapezoid, and a rectangle. Calculate the area of each figure by using their respective area formula. Then add up the results to get the value for the area of the entire figure.
2. Area of the trapezoid
The first figure is a trapezoid, calculate its area by using the following formula,
[tex]A_t= \frac{b_1+b_2}{2}(h)[/tex]
Where parameters ([tex]b_1[/tex]) and ([tex]b_2[/tex]) represent the base of the trapezoid, and ([tex]h[/tex]) represents the height. Substitute in the given values and solve.
[tex]A_t = \frac{16 + 5}{2}(10)[/tex]
Simplify,
[tex]=\frac{21}{2}(10)[/tex]
[tex]=10.5(10)[/tex]
[tex]=105[/tex]
3. Area of the rectangle
The other figure formed by the partition of the two figures is a rectangle. The formula to find the area of a rectangle is the following,
[tex]A_r =(b)(h)[/tex]
Where ([tex]b[/tex]) represents the base of the figure, and ([tex]h[/tex]) represents the height of the figure. Substitute in the values for the given parameters and solve,
[tex]A_r=(16)(3)[/tex]
Simplify,
[tex]=48[/tex]
4. Find the total area
Now add up the values for the area of each figure. The result will be the total area of the figure,
[tex]A_t + A_r = A[/tex]
Substitute,
[tex]105 + 48 = A[/tex]
Simplify,
[tex]153 = A[/tex]
Related Questions
Jacob has a rectangular garden with an area of 56 square feet.The length of the garden is 8 feet.What is the width if the garden?
Answers
Answer:
The width of the garden is 7 feet.
Step-by-step explanation:
If the area is 56 feet, and the length is 8 feet, we can put this into the area equation.
Area = width * length
A = wl
Substitute variables.
56 = 8w
Divide by 8.
7 = w, or w = 7.
The width of the garden is 7 feet.
Hurry Please!!!!!
When a rectangle is cut diagonally, two congruent right triangles are formed. Which expression shows how to use the area of the rectangle to find the area of one of the right triangles?
Answers
A clothing store used the sign shown below to advertise a discount on shirts. **DISCOUNT** BUY 2 SHIRTS, GET 50% OFF THIRD SHIRT. *** Olivia wants to buy three shirts, which were originally priced $42.45 each. The store will discount the price of the third shirt and then apply a 8.25% tax to the total cost of all three shirts. Including the tax, what is the total cost of the three shirts? 5 points
Answers
Answer:
114.88
Step-by-step explanation:
PLEASE HELP FAST AND PLEASE DON'T POST A LINK
Your parents are planning to rent you an apartment when you go to college. The annual contract is $535.00/month with a 2-month penalty for breaking the lease. The month-to-month contract is $615.00/month. What is the difference in the amount paid if you leave after 8 months?
Answers
Answer:
The difference in amount = $430
Step-by-step explanation:
1- Annual contract:
The annual contract means a contract for 12 months. There is a month penalty for breaking the lease.
This means that, if you left after 8 months, you will have to pay for 10 month.
Total paid = monthly payment * 10
Total paid = 535 * 10 = $5350
2- Month-to-month contract:
You will only paid for the 8 months you stayed,
Total paid = monthly payment * 8
Total paid = 615 * 8 = $4920
3- Getting the difference:
We can note that a month-month contract is a better option if you intend to stay for only 8 months
Difference = 5350 - 4920 = $430
Hope this helps :)
What is the area for the triangle? Pls help!
Answers
So you base would be 10 and height would be 6.
Area would be 24
Answer:
the area is 24cm squared
Step-by-step explanation:
Look at the question below
Answers
Choice A has a greater COP
:)
since this is way easier here are just the rest of the questions. please write them all in slope-intercept form. 11. -3x + 2y = -4 | 12. x + 3y = 9 | 13. 3x - 5y = 20 | 14. 3x - y = 1 | 15. 5x + 4y = 0| good night i hope you guys sleep well!
Answers
11. y=(3/2)x-2
12. y=x+3
13. y=(3/5)x-4
14. y=3x-1
15. y=(5/4)x
im not 100% sure on 14 but the rest of them should b right :)
Six apples and one pear cost $1.07. At the same price, three apples and six pears cost $1.47. An apple costs
Answers
Answer: [tex]\$0.15[/tex]
Step-by-step explanation:
Given
Six apples and one pear cost [tex]\$1.07[/tex]
Also, three apples and six pears costs [tex]\$1.47[/tex]
Suppose [tex]x[/tex] and [tex]y[/tex] be the price of apple and pear. So, we can write the cost as
[tex]\Rightarrow 6x+y=1.07\quad \ldots(i)\\\Rightarrow 3x+6y=1.47\quad \ldots(ii)\\\text{solve (i) and (ii) we get}[/tex]
[tex]x=0.15,\ y=0.17[/tex]
The cost of an apple is [tex]\$0.15[/tex]
12
у
8
Value of y in the triangle
Answers
6
(hope this helped) branliest will be appreciated as well
HELP PLEASE!!
ABCD is rotated counterclockwise about the origin. By how many degrees was ABCD rotated?
Answers
Answer:
180 degrees
Step-by-step explanation:
One of the legs of a right triangle measures 5 cm and its hypotenuse measures 9 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.
Can someone help please and thanks
Answers
answer is 7.5
[tex] {9}^{2} = {5}^{2} + {x}^{2} \\ 81 = 25 + {x}^{2} \\ - 25 \: \:- 25 \\ 56 = {x}^{2} \\ \sqrt{56} = \sqrt{x} \\ 7 .4833... \\ 7.5[/tex]
Find the value or X. Round your answer to the nearest tenth.
Answers
Answer:
x = 9.3
Step-by-step explanation:
tan 25° = x/20
0.4663 = x/20
x = 9.3
Who walked the shortest distance on the trail?
Answers
Answer:
charles
Step-by-step explanation:
In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the first day of the experiment the mass of the substance was 1300 grams and mass was decreasing by 6% per day. Determine the mass of the radioactive sample at the beginning of the 8th day of the experiment. Round to the nearest tenth (if necessary).
Answers
The mass of the radioactive sample at the beginning of the 8th day of the experiment a_13=310.7.
In a lab experiment, the decay of a radioactive isotope is being observed.
At the beginning of the first day of the experiment, the mass of the substance was 1300 grams and the mass decreased by 6% per day.
What is the formula of the nth term?
[tex]a_n=a_1r^{n-1}[/tex]
Use the given value in the formula so we get,
[tex]a_{13}=1100(0.9)^{13-1}[/tex]
Simplify the given term
[tex]a_{13}=310.7[/tex]
Therefore, The mass of the radioactive sample at the beginning of the 8th day of the experiment a_13=310.7.
To learn more about the nth term visit:
https://brainly.com/question/7882626
Answer:
389
Step-by-step explanation:
Solve for x. Round your answer to the nearest tenth (one decimal place).
Answers
Answer:
[tex]\displaystyle x \approx 6.7[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cosθ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Define
Angle θ = 78°
Adjacent Leg = x
Hypotenuse = 32
Step 2: Solve for x
Substitute in variables [cosine]: [tex]\displaystyle cos78^\circ = \frac{x}{32}[/tex][Multiplication Property of Equality] Multiply 32 on both sides: [tex]\displaystyle 32cos78^\circ = x[/tex]Rewrite: [tex]\displaystyle x = 32cos78^\circ[/tex]Evaluate: [tex]\displaystyle x = 6.65317[/tex]Round: [tex]\displaystyle x \approx 6.7[/tex]What is the value of x in the figure?
Answers
Answer:
34
Step-by-step explanation:
This is because the whole angle is a right angle and equals 90°. You subtract 56 from 90 and get 34. Hope this helped you out!!
Answer:
i am pretty sure 34 (degrees)
Step-by-step explanation:
tell me if this is wrong.
Rebecca needs 10 ½ yards of fabric to make a quilt. She has one piece of fabric that is 2 ½ yards and another piece of fabric that is 4 ¼ yards. How many more yards of fabric does Rebecca need to make the quilt
Answers
Answer:
3 3/4
Step-by-step explanation:
Determine the value of the missing sides for the following triangle
Answers
Answer:
90-30 = 60 degree.
sin90/14 = sin60/m
m= 14sin60/sin90
m= 12.1
sin60/12 = sin30/sin90
n =12sin30/sin90
n= 6
Step-by-step explanation:
Ted is making a red and yellow quilt with dimensions of 72 in by 90 in is how many square feet of fabric does he need
Answers
Answer:
https://socratic.org/answers/327824 click on the link
Subtract:
60.3 - 4.92 = 0
Answers
Answer:
60.3−4.92=0
Subtract 4.92 from 60.3 to get 55.38.
55.38 = 0
Compare 55.38 or 0.
Answer:55.38=0
Step-by-step explanation:
I have 40 dollars. If the tickers are 3 for $5 how many tickets do I have?
Answers
Answer:
You can get 24 tickets
Step-by-step explanation: You do the math
You randomly draw a marble from a bag of marbles that contains 7 blue marbles, 2 green marbles, and I red
marble
NO LINKS!!
Answers
The combined area of the lots is 8,375 square feet. How many feet wide is Lot Y?
Answer Choices
53 feet
55 feet
120 feet
125 feet
Answers
it takes 61 pounds of seed to completely plant an 11- acre field. how many pounds of seed are needed per acre
Answers
Explain: 61 divided by 11 = 5.5454545
Solve.
18. Miguel paid $9600 rent for his apartment the first year. Every year for
the next 3 years the rent increased 5%.
a. How much rent did he pay in the fourth year?
b. How much rent did he pay altogether in the 4 years?
Answers
Answer:
$11,113.20
$41,377.20
Step-by-step explanation:
The equation that would be used to represent the increase in rent every month is :
FV = P (1 + r)^n
FV = Future value
P = Present value
R = interest rate
N = number of years
Rent paid in the first year = 9600
Rent paid in the second year = 9600 x (1.05) = 10,080
Rent paid in the third year = 9600 x (1.05)^2 = 10,584
Rent paid in the fourth year = 9600 x (1.05)^3 = 11,113.20
Rent paid in4 years is the sum of the rents paid each year :
9600 + 10,080 + 10,584 + 11,113.20 = $41,377.2
y=330(1.06)^x
answer
Answers
Answer:
349.8^x
Step-by-step explanation:
330*1.06=349.8
Answer:
6% increase
Step-by-step explanation:
PLS HELP WITH THIS IMMEDIATELY!!!! i’ll give brainiest if u don’t leave a link
Answers
Answer:
sides: scalene (no sides are the same length)
angle: right (largest angle is 90*)
Find the missing side lengths.
Can someone please help???
Answers
Answer:
x = 16
y = 13.8
Step-by-step explanation:
Write a proportion comparing the rise to the run for each of the similar slope triangles shown at the right. Then find the numeric value.
Answers
Answer:
AB/CΔ=BC/ΔE {similar triangles}
[tex]2/4=2/4[/tex]
[tex]1/2=1/2\\[/tex]
so numeric value= 1/2
---------------------------------
hope it helps....
have a great day!!
The homes family is on a road trip on the first day they drove 3.5 inches on a map the actual distance is 245miles which is the scale of the map
Answers
Answer:
1:70
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
245 / 3.5 = 70
1:70
