find the area of the following shapes. Show the formula used and all work. Round to 1 decimal place .
Answers
Answer:
[tex]\text{d. }106,250\:\mathrm{cm^2},\\\text{e. }38.5\:\mathrm{cm^2},\\\text{a. }85\:\mathrm{ft^2},\\\text{b. }7.89676\:\mathrm{m^2}[/tex]
Step-by-step explanation:
Part D:
The figure shows a parallelogram with base 425 cm and height 250 cm. Its area can be found by [tex]A=bh[/tex] and therefore the area of this shape is [tex]A=425\cdot 250=\boxed{106,250\:\mathrm{cm^2}}[/tex]
Part E:
The figure shows a trapezoid. The area of a trapezoid is equal to the average of its bases multiplied by the height. Since one base is 2 cm and the other base is 9 cm, the average of these bases is [tex]\frac{2+9}{2}=\frac{11}{2}=5.5\:\mathrm{cm}[/tex]. The height is given as 7 cm, therefore the area of the trapezoid is [tex]7\cdot 5.5=\boxed{38.5\:\mathrm{cm^2}}[/tex]
Part A:
The composite figure consists of two rectangles. The area of a rectangle with base [tex]b[/tex] and height [tex]h[/tex] is given by [tex]A=bh[/tex]. The total area of the figure is equal to the sum of the areas of these two rectangles.
Area of first rectangle (rectangle on bottom): [tex]5\cdot 13=65\:\mathrm{ft^2}[/tex]
Area of second rectangle (rectangle on top):
*Since we don't know the dimensions, we must find them. Start by converting 108 inches to feet:
[tex]108\:\mathrm{in}=9\:\mathrm{ft}[/tex]. Therefore, the dimensions of this rectangle are (10-5) ft by (13-9) ft [tex]\implies5\text{ by } 4[/tex] and this rectangle's area is [tex]5\cdot 4=20\:\mathrm{ft^2}[/tex]
Thus, the area of the figure is equal to [tex]65+20=\boxed{85\:\mathrm{ft^2}}[/tex]
Part B:
We've already found the area of the figure in the previous part in square feet. To find the area in square meters, use the conversion [tex]1\text{ square foot}=0.092903\text{ square meter}[/tex].
Therefore, the area of the figure, in square meters, is [tex]85\cdot 0.092903=\boxed{7.89676\:\mathrm{m^2}}[/tex]
Related Questions
The amount of money, A, accrued at the end of n years when a certain amount, P.is
invested at a compound annual rate, r, is given by A = P(1+r)". If a person
invests $300 in an account that pays 8.5% interest compounded annually, find the
balance after 15 years.
Answers
Answer:
$1019.92
Step-by-step explanation:
A = 300(1.085)^15
Please solve with explanation
Answers
Answer:
36 9/16 in
Step-by-step explanation:
Amount of wood left = original length of the wood - length cut - length wasted
45[tex]\frac{1}{2} - \frac{1}{16} - 8\frac{7}{8}[/tex]
[tex]37\frac{8 - 1 - 14}{16}[/tex]
[tex]37\frac{-7}{16}[/tex]
36[tex]\frac{9}{16}[/tex]
Which of the following is most likely the next step in the series?
Answers
Answer:
D.
Step-by-step explanation:
The pattern is line across, then down, then across, then down, then across.
Answer:
D
Step-by-step explanation:
The steps are horizontal line, then vertical line. After the third image, the next line should be the horizontal line.
(а+2)(3а-1)
what’s the product? (i completely didnt pay attention throughout the year)
Answers
Answer:
3a^2 + 5a - 2
Step-by-step explanation:
(a + 2)(3a - 1)
a(3a - 1) + 2(3a - 1)
3a^2 - a + 6a - 2
subtract like terms
3a^2 + 5a - 2
Line segment EG is partitioned by point F in the ratio 1:3. Point E is at E (0, 4), and point F is at (1, 3). What are the coordinates of point G? (−1, 5) (2, 2) (3, 1) (4, 0)
Answers
Answer:
(4,0)
Step-by-step explanation:
Line segment EG is partitioned by point F in the ratio 1:3.
This means that:
[tex]F - E = \frac{1}{4}(G - E)[/tex]
We use this equation to find both the x-coordinate and the y-coordinate of point G.
x-coordinate:
x-coordinate of E: 0
x-coordinate of F: 1
x-coordinate of G: x
Then
[tex]F - E = \frac{1}{4}(G - E)[/tex]
[tex]1 - 0 = \frac{1}{4}(x - 0)[/tex]
[tex]1 = \frac{x}{4}[/tex]
[tex]x = 4[/tex]
y-coordinate:
y-coordinate of E: 4
y-coordinate of F: 3
y-coordinate of G: y
Then
[tex]F - E = \frac{1}{4}(G - E)[/tex]
[tex]3 - 4 = \frac{1}{4}(y - 4)[/tex]
[tex]-1 = \frac{y-4}{4}[/tex]
[tex]y - 4 = -4[/tex]
[tex]y = 0[/tex]
What are the coordinates of point G?
x = 4, y = 0, so (4,0).
Circle A has a radius of 4 centimeters.
Answers
Does anyone know this? Options: 5,6,or 10
Answers
Answer:
x = 6
Step-by-step explanation:
a • b = c • d where a and b are the segments lengths on one chord and c and d are the segments lengths on the other chord
2*x = 3*4
2x = 12
Divide by 2
2x/2 = 12/2
x = 6
I suck at math but what's greater 0.67 or 0.6
Answers
Answer:
0.67!
Step-by-step explanation:
0.6 is just 0.60 which is less than 0.67
Find two consecutive positive integers such that the square of the
smaller integer is nineteen more than five times the larger integer.
Answers
Answer:
8 and 9
Step-by-step explanation:
let 'n' = smaller positive integer
let 'n+1' = larger
n² = 5(n+1)+19
n² = 5n + 5 + 19
n² = 5n + 24
n² - 5n - 24 = 0
(n-8)(n+3) = 0
n = 8 [this is the smaller positive integer]
n+1 = 9 [this is the larger positive integer]
n = -3 [this value can be discounted because it is not positive]
?????????????????????????????????????????????????????
Answers
Answer:
??????
Step-by-step explanation:
Answer:
The radius of the circle is 2 units.
Step-by-step explanation:
The radius is half the diameter, therefor you must divide the diameter (4) by 2, and you get 2 units.
A shop sells biscuits. 3 vanilla biscuits and 2 chocolate biscuits cost $60 while 1 vanilla biscuits and 2 chocolate biscuits cost $48. a)
Write a pair of simultaneous equations to represent the information given above.
Answers
Answer:
3v + 2c = $60
v + 2c = $48
Step-by-step explanation:
Let vanilla biscuits be represented by v and chocolate biscuits be represented by c.
Hope this helps! Let me know if you need help solving the simultaneous equations.
Perímetro de un círculo de 2.5
Answers
Answer:
La circunferencia del círculo es igual a Pi π veces el diámetro d. Dado que el diámetro d es igual a 2 veces el radio r, la fórmula para la circunferencia que usa el radio es 2πr 2 π r.
Step-by-step explanation:
what is the answer to 1/2x - 3/4 = 3/8 - 5/8x
Answers
Answer:
The answer to your question is 1,-0.25
Step-by-step explanation:
Use desmos! Put the first part of the question (1/2x-3/4) into one slot, and then put the second part of the question (3/8-5/8x) into a different one. you'll find two lines intersecting, click on where the lines intersect and then you'll find the answer.
Draw a graph of the linear equations x – 4y + 10 = 0 and x + 4y – 10 = 0. Find the coordinates of the vertices of the triangle formed by these lines along with the X-axis
Answers
Step-by-step explanation:
x-14y=0
x=0/14y
x=14y
14y
The second equation crosses the x axis at x + 4 x 0 - 10 = 0 => x = +10
Adding the equations together gives 2x = 0 => x = 0
0 + 4y - 10 = 0 => 4y = 10 => y = 2.5
The vertices of the triangle formed by the two lines and the x axis are (-10, 0) (10, 0) and (0, 2.5)
A countertop for a kitchen is modeled with the dimensions shown below. An 18-inch by 21 inch rectangle will be removed for the sink. What is the area of the top of the installed countertop to the nearest square foot.
Answers
Complete Question
A countertop for a kitchen is modeled with the dimensions shown below. An
18-inch by 21-inch rectangle will be removed for the installation of the sink.
8 ft
2 ft
Sink
18 in
21 in
5 ft
2 ft
What is the area of the top of the installed countertop, to the nearest square foot?
Answer:
19 square foot
Step-by-step explanation:
A countertop for a kitchen is modeled with the dimensions shown below. An 18-inch by 21 inch rectangle will be removed for the sink. What is the area of the top of the installed countertop to the nearest square foot.
Convert from inches to feet
18 inches
1 inch = 0.0833 feet
18 inch = x
Cross Mulitiply
x = 18 × 0.0833 feet
x = 1.5 feet
21 inches
1 inch = 0.0833 feet
21 inch = x
Cross Mulitiply
x = 21 × 0.0833 feet
x = 1.75 feet
Area 1 = 2 ft × 8 ft = 16 ft²
Area 2 = 2 ft × 3 ft = 6 ft²
Area of a sink = Length × Width
= 1.5 ft × 1.75 ft
= 2.625 square feet
Area 1 - Area of sink
= 16 ft² - 2.625 ft²
= 13.375 ft²
Area of the top installed part =
Area 2 + 13.375 ft²
= 6 ft² + 13.375 ft²
= 19.375 ft²
Approximately ≈ 19 ft²
The quotient of 1/2 divided by 1 3/4
Answers
Answer:
2/7
Step-by-step explanation:
1
2
÷
1 3
4
=
1
2
÷
7
4
=
1
2
×
4
7
=
1 × 4
2 × 7
=
4
14
=
4 ÷ 2
14 ÷ 2
=
2
7
2 + (-6)
HELP PLEASE !!
Answers
Step-by-step explanation:
-4
MARK AS BRAINLIEST...........
Answer:
2+(-6)
2-6
-4
Your Welcome
BIFFY OUT!!!
Cuantos nanómetros soporta el cuerpo
Answers
Step-by-step explanation:
1 mn diameter self assembled
nature inspired structure
how to Find the area of the following parallelograms?
Answers
Answer:
A=LxW
Step-by-step explanation:
It is same as the area of rectangles
A=LxW
Answer:
To find first Base and height of parallelogram then
Area= b×h
What is the equation form of the line that is parallel to the line y=-1/3x+4 and passes through the point (6,5)
Answers
Answer: 4
Step-by-step explanation: bc
pls help and explain on tha pic
Answers
Answer:
5. 4
Step-by-step explanation:
[tex] \sqrt{ \frac{1}{25}} \times { \sqrt[4]{81} }^{3} \\ = \frac{1}{5} \times 27 \\ = 5.4[/tex]
brainliest please
Which sequence is generated by the function f(n + 1) = f(n) – 2 for f(1) = 10?
Answers
Answer: The sequence generated is 10, 8, 6, 4, 2, ...
This sequence is arithmetic with starting term 10 and common difference -2. This means we add -2 to each term to get the next one (same as subtracting 2 from each term). This common difference is directly connected to the -2 from the recursive rule f(n+1) = f(n)-2
Whatever the nth term f(n) is, we subtract off 2 to get f(n)-2 to get the f(n+1) term, which is right after the nth term.
Answer:
Step-by-step explanation:
f(1)=10
n=1
f(1+1)=f(1)-2
f(2)=10-2=8
n=2
f(2+1)=f(2)-2
f(3)=8-2=6
n=3
f(3+1)=f(3)-2
f(4)=6-2=4
so sequence is 10,8,6,4,...
PLEASE HELP ASAP! What system of linear inequalities is shown in the graph?
Answers
Step-by-step explanation:
x+2y ≥ 4 => y ≥ -½x +4
-2x + y > -3 => y > 2x - 3
Answer:
Work out the equations of the lines first.
The solid line
It has a slope of m = (1 - 2)/2 = -1/2 and the y-intercept of 2The line is:
y = -1/2x + 2The dotted line
It has a slope of m = (-1 + 3) / 1 = 2/1 = 2 and the y-intercept of -3The line is:
y = 2x - 3The intercession zone is above of both of the lines, so the inequalities are:
y ≥ -1/2x + 2y > 2x - 3Morgan borrowed $0.35 from her mother every time she went to the gas station to buy some chips. Over the summer Morgan went to the grocery store with her mother 9 times. Write an expression using rational numbers to show how much money Morgan borrowed from her mother. Then determine how much Morgan owes her mother.
Answers
Answer:
The money borrowed by Morgan is $ 3.15.
Step-by-step explanation:
Money borrowed by Morgan to buy chips = $ 0.35
Number of times goes to the station = 9
Money borrowed by Morgan in 9 time visit to station
= 9 x $ 0.35
=$ 3.15
I need Help please!!!!
Answers
Please help me on this question
Answers
Answer:
ans: 80 °
Step-by-step explanation:
given two triangle are isosceles triangle so,
triangle having angle a;
a + 2d = 180
d = 54° ( since a= 72°)
d is vertically opposite to angle of triangle containing x,
similar reason for b ,
hence
x+ d + b = 180
x = 180 - 54 - 46
= 80°
Jonah walks 1/3
mile in 3/4
hour. How fast, in miles per hour, does he walk?
Answers
Answer:
4/9 mi/hr = 0.44 mi/hr
Step-by-step explanation:
1/3 / 3/4 = 4/9 mi/hr
Hence, he walks at miles per hour is
What is a mile?
A unit of length is equal to exact [tex]1.609344[/tex] kilometers. Also equal to [tex]1,760[/tex]yards or [tex]5,280[/tex] feet.
Here given that,
Jonah walks [tex]\frac{1}{3}[/tex] miles in [tex]\frac{3}{4}[/tex] an hour.
So, it would be,
[tex]\frac{\frac{1}{3}}{\frac{3}{4}}=\frac{1}{3}[/tex] ×[tex]\frac{4}{3}[/tex]
[tex]=\frac{4}{9}[/tex]
Hence, he walks at miles per hour is
[tex]\frac{4}{9}mi/hr=0.44mi/hr[/tex]
To know more about miles
https://brainly.com/question/833967
#SPJ2
Evaluate expressions-What should go in the blank spot
When x=5 the value to the expression is...
0.08x3
Answers
Answer:
[tex]10[/tex]
Step-by-step explanation:
[tex]0.08 {x}^{3} [/tex]
[tex]0.08( {5)}^{2} [/tex]
[tex]0.08 \times 125[/tex]
[tex]10[/tex]
Hope it is helpful...A diver was at 58m below sea level.The diver swam up 4m every 12 seconds. Where is the location of the diver after 2 minutes?
Answers
Answer:
18 metres below sea level.
Step-by-step explanation:
Since the diver swims up 4 metres every 12 seconds, that means the diver swims up 4 * (60/12) metres = 20 metres every minute. Therefore, he will have swum up 20 * 2 = 40 metres after 2 minutes. Factoring in the diver's original position, -58m, we can calculate his position to be -58 + 40 metres = -18 metres, meaning 18 metres below sea level.
Hope this helped!
Answer:
18 m below sea level
Step-by-step explanation:
due tomorrow
3 questions
Answers
Answer:
7.
green blocks represent n
and normale digits (plus green) are orange
Anne: 1 orange block and increasing 2 green blocks from 2 sides
Sanjay: one line of green and orange line plus 1
Robert: 2 times the amount of green blocks on both lines with 1 orange block on right path
9.
a.y = 6x
b.y = 2^x
c.y = x+10
10.
a. 2 green blocks and 2 orange blocks
c. 3 green blocks and 1 orangle blocks
b. 4 green blocks
d.2 green blocks and 1 orange block
Step-by-step explanation:
for 10, it doesn't really matter