A figure is broken into a rectangle and a triangle. The triangle has a base of 2 and two-thirds feet and height of 3 feet. The rectangle has a base of 5 feet and height of 1 and one-third feet.
The irregular figure can be broken into a triangle and a rectangle as shown with the dashed line.
The length of b, the base of the triangle, is
ft.
The area of the triangle is
The area of the rectangle is
The area of the irregular figure is
Answers
Answer:
See belowStep-by-step explanation:
The length of b, the base of the triangle, is
5 - 2 1/3 = 3 - 1/3 = 2 2/3 ftThe area of the triangle is
A = 1/2*3*(2 2/3) = (3/2)(8/3) = 8/2 = 4 ft²The area of the rectangle is
1 1/3 * 5 = 4/3 * 5 = 20/3 = 6 2/3 ft²The area of the irregular figure is
4 + 6 2/3 = 10 2/3 ft²Answer:
[tex]b=2\frac23\:\sf ft[/tex]
Area of triangle = 4 ft²
Area of rectangle = [tex]6\frac23\: \sf ft^2[/tex]
Area of irregular figure = [tex]10\frac23\: \sf ft^2[/tex]
Step-by-step explanation:
[tex]\begin{aligned}\sf Base\:of\:triangle\:(b) & = 5-2\frac13\\\\& = \dfrac{15}{3}-\dfrac73\\\\ & = \dfrac83\\\\ & = 2\frac23\:\sf ft \end{aligned}[/tex]
[tex]\begin{aligned}\sf Area\:of\:a\:triangle & =\dfrac12 \sf \times base \times height\\\\& = \dfrac12 \times b \times 3\\\\ & = \dfrac12 \times \dfrac83 \times \dfrac31\\\\ & = \dfrac{24}{6}\\\\ & = 4\: \sf ft^2\end{aligned}[/tex]
[tex]\begin{aligned}\sf Area\:of\:rectangle& =\sf length \times width\\\\& = 5 \times 1\frac13\\\\ & = \dfrac51\times \dfrac43\\\\& = \dfrac{20}{3}\\\\ & = 6\frac23\: \sf ft^2\end{aligned}[/tex]
[tex]\begin{aligned} \sf Area\:of\:irregular\:figure & = \sf area\:of\:triangle+area\:of\:rectangle\\\\ & = 4 + 6\frac23\\\\ & = 10\frac23\: \sf ft^2\end{aligned}[/tex]
Related Questions
A cone has a height of 10 yards and a radius of 9 yards. What is its volume?
Use 3.14 and round your answer to the nearest hundredth.
cubic yards
Answers
Part I: Recalling the "Volume of cone" formula
Given:
Height of cone = 10 yardsRadius of cone = 9 yardsFormula (Volume of cone):
[tex]\text{Volume of cone:} \ \dfrac{1}{3} \times \pi \times r^{2} \times h[/tex]
[Where r and h are the radius and the height respectively.]
Part II: Determining the volume of the cone
Substitute their values into the formula to determine the volume of the cone.
[tex]\implies \text{Volume of cone:} \ \dfrac{1}{3} \times \pi \times (9)^{2} \times (10)[/tex]
∴ Let π be 3.14 ∴
[tex]\implies\text{Volume of cone:} \ \dfrac{1}{3} \times 3.14 \times (9)^{2} \times (10)[/tex]
Simplify the expression to determine the volume.
[tex]\implies\text{Volume of cone:} \ \dfrac{1}{3} \times 3.14 \times 81 \times 10[/tex]
[tex]\implies\text{Volume of cone:} \ 3.14 \times 27 \times 10[/tex]
[tex]\implies\text{Volume of cone:} \ 31.4 \times 27[/tex]
[tex]\implies\text{Volume of cone} = 847.8 \ \text{yd}^{3} = \boxed{847.80 \ \text{yd}^{3}} \ \ \ \ \ \ \ \ (\text{Nearest hundredth)}[/tex]
PLS HELP !!! I just dont understand im not smart-
Answers
Answer:
Let's first find the area of the rectangle/rectangle,
we can do this by combining their lengths as a whole
or
we can individually find their area.
Let's find the area of the individual shapes, upper rectangle;
(using the formula)
A = l x w
Where 'l' represents the length and 'w' stands for the width.
Plug in what you know:-
A = 27(24)
A = 648 square feet is the area of the upper rectangle.
Now, the lower rectangle:
A = l x w
Plug in what you know:-
A = 27(32)
A = 864 square feet is the area of the lower rectangle.
Now we find the area of the triangle beside;
(using the formula)
A = BH x 1/2
Where 'B' represents the base, 'H' the height, and 1/2 means to simply divide the product of those two lengths(base x height) by 2.
Plug in what you know:
A = BH x 1/2
A = 18(32) x 1/2
A = 576 x 1/2
A = 576/2
A = 288 square feet is the area of the triangle beside.
Add up all the areas we've gathered so far:
648 + 864 + 288
= 1,800 square feet is the area of the patio
Answer:
Let's first find the area of the rectangle/rectangle,we can do this by combining their lengths as a wholeorwe can individually find their area.Let's find the area of the individual shapes, upper rectangle;(using the formula)A = l x wWhere 'l' represents the length and 'w' stands for the width.Plug in what you know:-A = 27(24)A = 648 square feet is the area of the upper rectangle.Now, the lower rectangle:A = l x wPlug in what you know:-A = 27(32)A = 864 square feet is the area of the lower rectangle.Now we find the area of the triangle beside;(using the formula)A = BH x 1/2Where 'B' represents the base, 'H' the height, and 1/2 means to simply divide the product of those two lengths(base x height) by 2.Plug in what you know:A = BH x 1/2A = 18(32) x 1/2A = 576 x 1/2A = 576/2A = 288 square feet is the area of the triangle beside.Add up all the areas we've gathered so far:648 + 864 + 288= 1,800 square feet is the area of the patio
Step-by-step explanation:
what is the solution to the exponential equation (½)x = 32
Answers
Answer:
Step-by-step explanation:
log(1/2) (32) =x
Bonnie measured an acute angle to be 146° . Bonnie’s teacher pointed out that she read the wrong set of numbers on the protractor. What is the correct angle measure for the angle Bonnie measured? Explain your reasoning.
Answers
Answer:
Step-by-step explanation:
39° cus if it's 146° in one set the other degree in other set parallel to it will be 39°
hope it helps...!!!!
1. On a certain TV station, there are 4 commercials during
every 30-minute period. How many minutes of TV do you
need to watch to have watched more than 10 commercials?
2018 30 31 SW
Answers
Average minute per commercial
30/4 =7.5
For 10 commercials it will be
10*7.5 = 75 minutes
SOLVE CORRECTLY FOR BRAINLIEST! QUESTION DISPLAYED BELOW:
Answers
Answer:
2
Step-by-step explanation:
We are given:
t = -11
u = 11
v = 1
Plug in the values to (tv-u) / tv:
((-11)(1) - 11) / (-11)1
(-11-11) / -11
-22 / -11
= 2
At the afternoon matinee movie, 2 adult tickets and 4 child tickets cost $38, and 5 adult tickets and 2 child tickets cost $55. Which two equations can be used to determine the price of each ticket?
Answers
Answer:
for two adult and 4 children$38÷6
for five adult and two children
$55÷7
Step-by-step explanation:
they did not mansion that how much adult and children tickets cost so I thought their prizes are the same and I add the values of people and take money devide with the values of people togetherWhat is the image of ( 3 , − 2 ) after a reflection over the line y = x?
Answers
Answer:
(2,-3)
Step-by-step explanation:
When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and the signs are changed.
(-2, 3)
Solution:Remember, when you reflect a point over the line y=x, the x- and y-coordinates switch places.So if we had a point with the following coordinates: (4, 5) and we reflected it over the line y=x, then the coordinates of the point are (5, 4)Therefore, if we take a point (3,-2) and reflect it over the line y=x, then the coordinates of the point are now (-2, 3)Hope it helps.
Do comment if you have any query.
Write an equation for the line in point-slope and slope-intercept forms.
Passes through (1, 2) and has a slope of 7.
Answers
point-slope form: y-y₁=m(x-x₁)
==========
y - 2 = 7(x-1)slope-intercept form: y = mx + b
==========
y - 2 = 7(x-1)y - 2 = 7x-7y = 7x - 7 + 2y = 7x -5Point slope is written as y - y1 = m(x -x1)
Where x1 and y1 are the given point and m is the slope:
point slope :
Y-2 = 7(x-1)
slope intercept is written as y = Mx + b where m is the slope and b is the y intercept:
musing the slope you have y = 7x + b
Now replace y and x with the given point to solve for b:
2 = 7(1) = b
2 = 7 + b
Subtract 7 from both sides to get b = -5
now replace b in the equation to get:
Y = 7x-5
please answer this question
Answers
Answer:
e
Step-by-step explanation:
the coordinates of the midpoint are the average of the coordinates of the endpoints.
let coordinates of C = (x, y ) , then with A = (- 1, 2 ) calculate the average and equate to the coordinates of B (3, 2 )
[tex]\frac{x-1}{2}[/tex] = 3 ( multiply both sides by 2 to clear the fraction )
x - 1 = 6 ( add 1 to both sides )
x = 7
and
[tex]\frac{y+2}{2}[/tex] = 2 ( multiply both sides by 2 )
y + 2 = 4 ( subtract 2 from both sides )
y = 2
coordinates of C = (7, 2 )
Describe the pattern in the sequence. Find the next two terms of the difference.
-2, -5, -8, -11, ...
Answers
Answer:
-14,-17
I hope this is useful
Trent bought four pounds of deli turkey for $2.68 per pound. How much did he spend? $8.42
Answers
Because Trent bought four pounds, you would multiply $2.68 times 4.
Find the base of a parallelogram with an area of 18 square inches and a
height of 2 inches.
Answers
Answer:
9 inches
Step-by-step explanation:
Formula: ( area of a parallelogram)
area = base × height
_______________
then
base = area/height
= 18/2
= 9
Jenna bought 3 shirts for $62.25 if each shirt cost the same amount what is the cost of one shirt
Answers
Answer:
The cost of one shirt is $20.75.
Step-by-step explanation:
Total Cost/3 Shirts = The Cost of 1 Shirt
62.25/3 = 20.75
Marnie works at the guest check-in desk during nights at the Hilton Hotel in Portland, OR. She has the ability to determine how many hours she works each week. The hotel grants Marnie an increase in her hourly wage from $14 per hour to $20 per hour. How will Marnie respond
Answers
If the hotel grants Marnie an increase in her hourly wage from $14 per hour to $20 per hour. Her respond is: She will increase her work hours.
What is wages?Wages can simply be defined as the money earn per hour or money earn on a daily basis for work done.
Assuming her wages was increase from $14 per hour to $20 per hour. Marie will have to increase her work hours if the increase in wage of the amount of $20 is positive as this will enable are to earn more money .
Therefore Marnie will increase her work hours.
Learn more about wages here:https://brainly.com/question/25863464
please help i been stuck on these qustions for a long time
Answers
Answer:
Step-by-step explanation:
Use the given line of best fit to approximate the rate of change relative to the scatter plot below.
A.
-3/2 chores done/internet hour
B.
-3/4 chores done/internet hour
C.
-1/2 chores done/internet hour
D.
-1 chore done/internet hour
Answers
Answer: it’s a
Step-by-step explanation:
Answer:
its 1 chores per hour
Step-by-step explanation:
I did the study
Find the Missing Numerator and Denominator
3/? x ?/4 = 9/20
PLEASE HELP I WILL MARK YOU AS BRAINLEST!
Answers
Answer:
missing denominator: 5
missing numerator: 3
Step-by-step explanation:
You know the product of fractions is formed by multiplying numerators and multiplying denominators.
[tex]\dfrac{3}{d}\times\dfrac{n}{4}=\dfrac{3n}{4d}=\dfrac{9}{20}[/tex]
This gives rise to two equations:
3n = 9 ⇒ n = 3
4d = 20 ⇒ d = 5
The missing denominator is 5; the missing numerator is 3.
__
[tex]\dfrac{3}{5}\times\dfrac{3}{4}=\dfrac{9}{20}[/tex]
A ring-toss toy is composed of a rectangular prism on top of a cylinder. The rectangular prism is completely fill with water. The dimensions of the rectangular prism are shown in the diagram.
ring toss toy
What is the volume of the rectangular prism in cubic centimeters?
Question 10 options:
480 cm3
90 cm3
29 cm3
208 cm3
16 HITH
3
10
Answers
Answer:
the answer is = a) 480 cm³
What will be the coordinates of point A after a reflection across the x-axis?
A
(6,−2)
B
(6,−5)
C
(−1,5)
D
(−6,5)
Answers
Answer:
OPTION B
Step-by-step explanation:
(6,-5)
I HOPE IT HELPED YOU
Multiply each pair of factors. type the product in the space provided. (6 3i)(6 − 3i) = (4 − 5i)(4 5i) = (−3 8i)(−3 − 8i) =
Answers
The product of the factors are;
[tex]\rm(6-3i)(6+3i)=6^2+3^2=36+9 = 45\\\\ (4 -5i)(4 +5i) = 4^2+5^2=16+25=41\\\\(-3+8i)(-3-8i)=(-3)^2+8^2=9+64=73[/tex]
What is multiplication?Multiplication is the process of calculating the product of two or more numbers.
The multiplication of numbers say, ‘a’ and ‘b’, is stated as ‘a multiplied by ‘b’.
The multiplication of the given factors finding by using the following formula.
[tex]\rm (a-ib)(a+ib)=a^2+b^2[/tex]
Applying the formula in the given factors;
[tex]\rm (a-ib)(a+ib)=a^2+b^2\\\\(6-3i)(6+3i)=6^2+3^2=36+9 = 45\\\\ (4 -5i)(4 +5i) = 4^2+5^2=16+25=41\\\\(-3+8i)(-3-8i)=(-3)^2+8^2=9+64=73[/tex]
To know more about multiplication click the link given below.
https://brainly.com/question/13691814
need some help with the question in the image
Cheers
Answers
b) 0.65 cm
c) 1.78 m
d) 3kg
PLEASE HELP MEEEE!!!!! 20 POINTS + BRAINLYEST!!!
(No links please)
If a right triangle has a hypotenuse of 13 inches and a leg of 5 inches, how could you use the Pythagorean Theorem to find the missing side? What is the length of the missing side?
A tree casts a 13-foot shadow. The distance from the top of the tree to the far end of the shadow is 22 feet. If the tree is perfectly straight and creates a right angle with the ground. How tall is the tree?
How can you use the Pythagorean Theorem to find the distance between two points on the coordinate plane?
A cone has a radius of 6 inches and a height of 11 inches. What is the volume of the cone?
Answers
Answer:
1) 46.64
2) 17.75
3) 414.69
Step-by-step explanation:
13^2 -5^2=sqrt2172=46.64
22^2-13^2=sqrt315=17.75
V=πr2h
11/3=π·62·11
11/3≈414.69
If x is a positive acute angle and cos x = 1/2, what is the value of sin 1/2 x?
A)1
B)2
C) square root 3/ 2
D)1/2
Answers
Find the volume of the following rectangular prism in terms of x, if the length is 4x + 0. 5, the width is 1/2 x, and the depth is x -2
Answers
The volume of the following rectangular prism in terms of x is 4x+ 0.5)(0.5x)(x - 2)
Volume of a prismThe formula for calculating the volume of a prism is expressed as
V = lwh
l is the length
w is the width
h is the height
Given the following
l =4x + 0.5
w = 1/2x
h = x - 2
Find the volume
V(x) = (4x+ 0.5)(0.5x)(x - 2)
Hence the volume of the following rectangular prism in terms of x is 4x+ 0.5)(0.5x)(x - 2)
Learn more on volume of prism here: https://brainly.com/question/1331127
#SPJ1
A plane took 3. 55 hours to finish a journey. If the distance of
the journey was 2840 miles, at what average speed did the
plane travel?
mph
Answers
Answer:
800 mph
Step-by-step explanation:
Use the formula: Distance/Time=Speed
Distance: 2840 miles
Time: 3.55 hours
Now Divide, giving you the speed of 800 mph
Hope this helps!
Ik this isn’t a math question but I want to know how much this beanie boo is cause I’m planning on selling it
Answers
Step-by-step explanation:
That's a rare Halo II angel bear, especially since it has a brown nose. Don't sell it less than $40, you can check prices on many websites
What does this data mean in terms of likelihood for a person from a particular geographic area to be dairy tolerant
Answers
The data shows a person from regions such as Northern Europe, Middle East 2, and East Africa will have a high dairy tolerance.
What is Dairy tolerance?This is characterized by unpleasant symptoms when the body doesn't produce enough lactase to digest the lactose consumed.
From the data, the regions which shows high dairy tolerance are those from Northern Europe, Middle East 2, and East Africa.
Read more about Dairy tolerance here https://brainly.com/question/14475402
Find the surface area of the prism.
HEEEELP PLEASE!!!!!
Answers
Let the vertices of the prism be A, B, C, D, E, F, G, and H. (Refer to image).
From the image, we can tell that the faces of the prism are:
ABFG HDCE FBCE GADH GFEH ABCD
Part II: Recalling the surface area formulaSurface area formula:
[tex]\text{Surface area = Sum of the area of it's faces}[/tex]
The faces are ABFG, HDCE, FBCE, GADH, GFEH, and ABCD (Previous Part)
[tex]\implies \text{SA = A(ABFG) + A(HDCE) + A(FBCE) + A(GADH) + A(GFEH) + A(ABCD)}[/tex]
Part III: Determining the surface area of the prismIf we look at the prism carefully, we can tell that:
ABFG = DCEH
GADH = FBCE
GFEH = ABCD
Therefore, the new equation is:
[tex]\implies \text{SA = 2[A(ABFG)] + 2[A(GADH)] + 2[A(GFEH)]}[/tex]
If we look carefully, we can see that GADH and ABFG are rectangles. Therefore, their areas will be length multiplied by width. Now, substitute the dimensions of the rectangles in the surface area.
[tex]\implies \text{SA} = 2[4 \times 4] + 2[2.5 \times 4] + \text{2[A(GFEH)]}[/tex]
The area of a parallelogram is the base multiplied by the height.
[tex]\implies \text{SA}= 2[4 \times 4] + 2[2.5 \times4] + 2[4 \times 2]}[/tex]
Finally, simplify the equation to determine the surface area.
[tex]\implies \text{SA} = 2[16] + 2[10] + 2[8][/tex]
[tex]\implies \text{SA} = 32 + 20 + 16[/tex]
[tex]\implies \boxed{\text{SA = 68 m}^{2} }[/tex]
Number 19. Please!hurry!
Answers
Answer:
Step-by-step explanation: