A design for a garden is composed of a triangle and 2 rectangles. Some side lengths of the garden design are shown. 7.5 ft 12.5 ft 7.5 ft 12.5 ft What is the area of the garden in square feet?
Answers
Answer:
215.625 square feet.
Step-by-step explanation:
The best way to approach this is by finding the area of each shape and then adding them together.
The area of a rectangle is Length · Width. Both rectangles have a length of 12.5 feet and a width of 7.5 feet. 12.5 · 7.5 = 93.75. And since both rectangles have the same dimensions, we can just multiply 93.75 by two to get 187.5 square feet for the rectangles.
The area of a triangle is Base · Height / 2. Since the sides of the triangle are the same as the sides of rectangles, the dimensions of the triangle are 7.5 feet and 7.5 feet.
7.5 · 7.5 / 2 = 28.125 square feet.
187.5 + 28.125 = 215.625 square feet.
Hope this helps! :)
Related Questions
Solve for m.
m/9 + 2/3 =7/3
Answers
Answer:
m= 15
Step-by-step explanation:
[tex] \frac{m}{9} + \frac{2}{3} = \frac{7}{3} [/tex]
To solve for m, start by moving the constants (numbers that are not attached to any variable) to the other side of the equation.
[tex] \frac{m}{9} = \frac{7}{3} - \frac{2}{3} [/tex]
Simplify:
[tex] \frac{m}{9} = \frac{5}{3} [/tex]
Multiply both sides by 9:
[tex]m = \frac{5}{3} \times 9[/tex]
Crossing out 3 from the denominator and from 9:
m= 5(3)
m= 15
three boxes under my stairs contain apples or pears are both each box contains the same number of pieces of fruit the first box contains all 12 of the apples and 1 /9th of the pears how much of the fruit are there in each box
Answers
There are 16 fruits in each of the boxes found under the stairs.
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
Let x represent the number of pears, hence:
Number of fruit in first box = 12 + (1/9)x
Number of fruit in second box = number of fruit in third box = (8/9)x ÷ 2 = (4/9)x
Therefore:
12 + (1/9)x = (4/9)x
x = 36
First box = second box = third box = (4/9) * 36 = 16
There are 16 fruits in each of the boxes found under the stairs.
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4. Which expression is equivalent
to 5(a + a + b)
a. 15ab
b. 10a + b
c. 5a +5b
d. 10a + 5b
PLEASE HELP
Answers
Answer:
d. 10a + 5bStep-by-step explanation:
5(a + a + b) = 5(2a + b)
use the distributive property:
a(b + c) = ab + ac
= 5 · 2a + 5 · b =10a + 5b
Answer:
[tex]\boxed{\sf{D. \quad 10a+5b}}[/tex]
Step-by-step explanation:
Use a distributive property.
Distributive property:
[tex]\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]
⇒ 5(a+a+b)⇒ a+a=2a
Rewrite the problem down.
[tex]\Longrightarrow: \sf{5(2a+b)}[/tex]
Multiply should be expanded.
⇒ 5*2a=10a
⇒ 5*b=5b
Rewrite the problem.
⇒ = 10a+5b
Therefore, the final answer is 10a+5b.I hope this helps you! Let me know if my answer is wrong or not.
What is the smallest number greater than 1 that is both triangular and square
Answers
Answer:
36
Step-by-step explanation:
triangular numbers are
1, 3, 6, 10, 15, 21, 28, 36, .....
square numbers are
1, 4, 9, 16, 25, 36, ..........
the smallest number that is triangular and square is 36
-5 1/2+6 3/4+(-4 1/4)=
Answers
Answer:
-3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
that the answer
calculate them
What is the length of the rectangular plot of land shown? Use pencil and paper. How are the lengths of the legs of a right triangle related to the lengths of the sides of a rectangle?
The length of the rectangular plot of land is ___ ft?
Answers
Answer:256960ft
Step-by-step explanation: LENGTHXWIDTH . So you would want to multiply 440x584 and that is 256960 So it is 256960ft I think.
Answer:
297 ft
Step-by-step explanation:
just look at the picture.....
Answers
Answer:
is equal to 925 i think cuz
Step-by-step explanation:
summation of arithmetic sequence
n=1 , 3n-2=3-2=1 , a=1, d=3.
sn=n+3n(n-1)
-------------
2
a=1 ,d=3 sn= n+3n(n-1)
------------
2
S25=25+3×25(25-1)
--------------
2
25+900=925
so the answer will be 925
There are few differences in Florida plants as fall arrives. What differences might you see in the seeds of Florida plants?
A The seeds are dormant.
B The seeds are being produced.
C The seeds are ready for harvest.
D The seeds are starting to germinate.
Answers
In Florida, one difference in plants is that as fall arrives seeds are ready to be harvested.
What is fall?Fall is one of the four seasons that exists in most countries including the United States. During this season, temperatures drop, and days become shorter.
How does this season affect Florida plants and seeds?In most plants, the beginning of the fall implies the beginning of the harvesting season. This means that during this season seeds are ready to be collected or harvested.
Learn more abour seeds in: https://brainly.com/question/15976369
Answer:it answer is harvested
Step-by-step explanation:
Why Did the Piano Player Bang Her
Head Against the Keyboard?
I didn’t see any online so… please help
Answers
The circumference of a circle that was computed when the diameter is 3cm will be 9.426cm.
How to find the circumference?The circumference of a circle of gotten by the formula:
C = 2πr or πd
where,
r = radius
d = diameter
Since the diameter is given as 3cm, the circumference will be:
= πd
= 3.142 × 3
= 9.426cm
In conclusion, the circumference of the circle is 9.426cm.
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Answer:
Step-by-step explanation:
Answer: She.Was.Playing.By.Ear
A bag contains 3 red marbles and 4 blue marbles.
A marble is taken at random from the bag and replaced.
Another marble is taken from the bag.
Work out the probability that the 2 marbles taken from the bag are the same colour.
Give your answer as a fraction.
Answers
Answer:
Total number of marbles in the bag is 3 + 4 = 7.
The problem asks for the probability of (RR) or (BB).
It's worthy to note we are replacing the balls after each draw, which means we always have 7 to draw from
Since each draw is independent, we take the product of each event for the total event probability.
P(RR) = 3/7 * 3/7 = 9/49
P(BB) = 4/7 * 4/7 = 16/49
We want to know P(RR) + P(BB)
P(RR) + P(BB) = 9/49 + 16/49 = 25/49
A town has a population of 141,300 and grows at a rate of 5% every year. Which equation represents the town’s population after 6 years?
Answers
Answer:
P=141,300(1+0.05)^6
Step-by-step explanation:
r = rate = 5/100 = 0.05
a = starting amount = 141,300
t = time = 6 years
% growth formula:
a(1+r)^t
141,300(1.05)^6
Answer:
P=141,300(1+0.05)^6
Step-by-step explanation:
r = rate = 5/100 = 0.05
a = starting amount = 141,300
t = time = 6 years
% growth formula:
a(1+r)^t
141,300(1.05)^6
PLEASE HELP ASAP Here is the question afterward:
Answers
17 (1/5) × 17,5 = 301
,..,.
Write a sentence to represent the solution set in the context of the problem.
___________________________________________________________
920 = 560 + 60(x) He has to make at least 6 sales to get $920
Answers
Answer:
6 sales
Step-by-step explanation:
(I MADE THIS QUESTION I DIDINT KNOW IF YOU NEEDED IT)
Jake wants to but the new computer(it costs $920). Jake has $560 saved in his bank. Jake also gets $60 whenever he makes a sale at his job. How many sale(s) at his job does Jake need to make? Answer -- Jake needs to make 6 sales of $60 to buy the new computer.
MATH -----
$6 x $60 = $360
$360 + $560 = $920
The area of a rectangle is 108 square meters. The width is 9 meters. What is
the length?
Answers
Answer:
L= 12
Step-by-step explanation:
area= L×B
108= 9×L
108= 9L
Divide both sides by 9
108/9= 9L/9
L= 12
a) what is average rate of change of f(x) over the interval from x=5 to x=9? (table shows values of f(x). graph shows function of g(x).)
table:
x: 4, 5, 6, 7, 8, 9, 10
F(x): -8, -4, 8, 10, 11, 14 ,18
b) Find the average rate of change of g(x) over the interval from x = 0.25 to x= 1. (Write answer as a simplified fraction. Show work)
c) if g(x) represents the height of a ball that was throw. up into the air, interpret your answer from part b) in terms of the real-world it represents.
Answers
Answer:
See below for answers and explanations
Step-by-step explanation:
Part A
The average rate of change of a function over the interval [tex][a,b][/tex] is equal to [tex]\frac{f(b)-f(a)}{b-a}[/tex], hence:
[tex]\frac{f(b)-f(a)}{b-a}\\\\\frac{f(9)-f(5)}{9-5}\\\\\frac{14-(-4)}{9-5}\\ \\\frac{14+4}{4}\\ \\\frac{18}{4}\\ \\\frac{9}{2}[/tex]
Therefore, the average rate of change of [tex]f(x)[/tex] over the interval [tex][5,9][/tex] is [tex]\frac{9}{2}[/tex].
Part B
Do the same thing as in Part A:
[tex]\frac{f(b)-f(a)}{b-a}\\ \\\frac{f(1)-f(0.25)}{1-0.25}\\ \\\frac{2-5}{0.75}\\ \\\frac{-3}{0.75}\\ \\-4[/tex]
Therefore, the average rate of change of [tex]g(x)[/tex] over the interval [tex][0.25,1][/tex] is [tex]-4[/tex].
Part C
To interpret our answer from Part B in terms of the real world it represents, we say that between 0.25 seconds and 1 second, the ball falls at a rate of 4 feet per second (since our average rate of change is negative).
The average rates of change are:
a) 4.5b) -4c) It means that in the interval, for each second that passes the height decreases by 4ft.How to get the average rate of change?
For a function f(x), the average rate of change on the interval [a, b] is:
[tex]r = \frac{f(b) - f(a)}{b -a}[/tex]
a) Here we have:
[tex]r = \frac{F(9) - F(5)}{9 - 5} = \frac{14 - (-4)}{4} = 4.5[/tex]
b) Now we look at g(x) on the interval [0.25, 1]
Notice that g(0.25) = 5 and g(1) = 2
Then we have:
[tex]r = \frac{2 - 5}{1 - 0.25} = -4[/tex]
c) That average rate of change means that, in average, in that interval in each second the height decreases by 4 ft.
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This morning, Megan and her dad had smoothies for breakfast. Megan made her smoothie with 1 cup of mango and 3 cups of strawberries. Her dad made a giant smoothie with 2 cups of mango and 6 cups of strawberries. Did the smoothies have the same ratio of mango to strawberries?
yes or no
Answers
Answer: yes its a 3:1 ratio
3 cups of strawberries
per 1 cup of mango
Step-by-step explanation:
so the best way i can try to explain it is this...
1 2 they both need a
_ x _ common denominator so
3 6 you need to multiply the smaller one to equal
the bottom number of the other one
oorr divide the big number on the bottom to equal
the smaller number on the bottom of the left
equation.
soooo 2 times (1:3) equals (2:6)
or divide by 2 to (2:6) to equal the denominator of 3 (same as smaller)
A mirror is the shape of an ellipse defined by startfraction y squared over 7.29 endfraction startfraction x squared over 6.25 endfraction = 1 with units in feet. which statement identifies the orientation of the mirror and its greatest dimension? the mirror has a vertical orientation and is 5.4 ft tall. the mirror has a horizontal orientation and is 5.4 ft wide. the mirror has a vertical orientation and is 7.29 ft tall. the mirror has a horizontal orientation and is 7.29 ft wide.
Answers
The major axis, which is horizontal, is of the length [tex]2\sqrt{7.29} = 5.4[/tex] ft, the miror axis, which is vertical, is of the length [tex]2\sqrt{6.25} = 5[/tex] ft.
What is the equation of ellipse if its major and minor axis are given?Suppose that the major axis is of the length 2a units, and that minor axis is of 2b units, then if major axis is on x-axis and minor axis is on y-axis, then the equation of that ellipse would be:
[tex]\dfrac{x^2}{a^2} + \dfrac{y^2}{b^2} =1[/tex]
For the considered case, the equation of the considered ellipse is:
[tex]\dfrac{x^2}{(\sqrt{7.29})^2} + \dfrac{y^2}{(\sqrt{5.4})^2} =1[/tex]
Thus, the major axis, which is horizontal, is of the length [tex]2\sqrt{7.29} = 5.4[/tex] ft,
the miror axis, which is vertical, is of the length [tex]2\sqrt{6.25} = 5[/tex] ft.
Learn more about ellipse here:
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Answer:
The mirror has a vertical orientation and is 5.4 ft tall.
Step-by-step explanation:
Got it right. The major axis is vertical (the ellipse has a vertical orientation) because the y^2 term comes first. It is 5.4 ft tall because if you take the square root of the number under the y^2 term (square root of 7.29), it is equal to 2.7. This is only the distance from the center to one vertex on the major axis, and so twice 2.7 is 5.4, and the mirror is 5.4 ft tall.
Also I know I am weeks late, but maybe this will help others at some point. Sorry I didn't get here in time!
2 If a hockey team loses 33% of the games they play, what is the probability that this team will win exactly 10 games out of their next 15?
a. 0.6%
b. 21.4%
c. 19.8%
d. 11.1%
Answers
So
P(A)=0.33P(A')=0.67Now
They win from 15games=10They lose=5The required probability
[tex]\\ \rm\rightarrowtail P(A')^{10}\times P(A)^5\times ^{15}C_{10}[/tex]
[tex]\\ \rm\rightarrowtail (0.33)^{5}\times (0.67)^{10}\times \dfrac{15!}{5!10!}[/tex]
[tex]\\ \rm\rightarrow 0.0039(0.0182)\times\dfrac{15(14)(13)(12)(11)10!}{5!10!}[/tex]
[tex]\\ \rm\rightarrowtail 0.00007098\times \dfrac{360360}{120}[/tex]
[tex]\\ \rm\rightarrowtail 0.00007098(3003)[/tex]
[tex]\\ \rm\rightarrowtail 0.213[/tex]
So probability
0.213(100)=21.3%Option B
Answer:
b. 21.4 % (nearest tenth)
Step-by-step explanation:
P(lose) = 33% = 0.33
P(win) = 1 - 0.33 = 0.67
Using binomial distribution X ~ B(n, p)
where n is the number of trials and p is the probability of success
⇒ X ~ B(15, 0.67)
Binomial probability formula:
[tex]\sf P(X=x)= \ _nC_x\cdot p^x \cdot(1-p)^{n-x}[/tex]
[tex]\sf \implies P(X=10)=15C10\cdot 0.67^{10} \cdot(1-0.67)^{15-10}[/tex]
[tex]\sf =3003 \cdot 0.67^{10} \cdot 0.33^5[/tex]
[tex]\sf =0.214226434...[/tex]
Converting to percentage:
0.214266434... x 100% = 21.4 % (nearest tenth)
evaluate 6+4/a + b/3 when a=4 and b=3
Answers
Answer: 31/4 or 7.75
Step-by-step explanation:
Solve for A
HELP ASAP!!
Answers
Answer: ∠A=144°
Step-by-step explanation:
∠A and ∠B are alternate exterior angles. Alternate exterior angles are congruent to each other. That means ∠A=∠B. Since we are given the measures of ∠A and ∠B, all we have to do is set them equal to each other.
10x+24=6x+72 [subtract both sides by 6x]
4x+24=72 [subtract both sides by 24]
4x=48 [divide both sides by 4]
x=12
Now that we found x, we need to plug it into ∠A.
10(12)+24=120+24=144
We know that ∠A=144°.
NEED HELP ASAP!!!!!!
Which expression has a sum of one and eight thirtieths?
-three sixths + three fifths
-four sixths + three fifths
-four sixths + four fifths
-five sixths + one fifth
Answers
Answer:
four sixths + three fifths.
Step-by-step explanation:
1 8/30 = 38/30.
4/6 + 3/5
= 20/30 + 18/30 = 38/30.
(90 points) what's the area of a 5m circle , 50 mm circle , 40in circle , 7ft circle, 21mm circle and a 70cm circle all using 3.14 or 22/7 for pi
Answers
Answers:
AREA OF A CIRCLE = pi x r^2
5m circle:
when it says 5 i think it means diameter so divide by 2 for radius
5/2 = 2.5
3.14 x 2.5^2=
3.14 x 6.25=
19.625m^2
50mm circle:
50/2= 25
3.14 x 25^2=
3.14 x 625=
1962.5mm^2
40in circle:
40/2= 20
3.14 x 20^2 =
3.14 x 400=
1256in^2
7ft circle:
7/2= 3.5
3.14 x 3.5^2=
3.14 x 12.25=
38.465ft^2
21mm circle:
21/2= 10.5
3.14 x 10.5^2=
3.14 x 110.25=
346.185mm^2
70cm circle:
70/2=35
3.14 x 35^2=
314 x 1225=
3846.5cm^2
Hope that helps :)
use the distributive property to rewrite the expression 6(10+n)=
Answers
Answer:
60 + 6n
Step-by-step explanation:
Distribute 6 to both terms:
6 * 10 is 60
6 * n is 6n
Both total are 60 + 6n
Hey there!
6(10 + n)
= 6(10 + 1n)
DISTRIBUTE 6 WITHIN the PARENTHESES
= 6(10) + 6(1n)
= 60 + 6n
= 6n + 60
Therefore, your answer is: 6n + 60
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Bobby's cat runs x mph. Bobby's dog runs twice as fast as his cat.
If cat and dog start running away from each other how far away from each other will they be after 30 minutes?
Answers
The distance they(Bobby's cat and dog) will be from each other after 30 minutes is 0.5x miles.
Calculation of distanceThe dog runs twice as fast as the cat. Therefore,
Bobby's cat speed = x
Bobby's dog speed = 2x
Therefore,
speed = distance / time
30 minutes = 0.5 hours
Therefore,
distance = speed × time
distance covered by the cat = x × 0.5 = 0.5x
distance covered by the dog = 2x × 0.5 = x
Therefore, the distance they will be from each other after 30 minutes is as follows:
distance = x - 0.5x = 0.5x
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The radius of a quarter circle is 3 what is the quarter circle's perimeter?
Answers
Answer:
21.42
Step-by-step explanation:
Imagine it as a full circle. 3 x 4 will give you the diameter of a full circle, which is 12. circumference = pi x diameter. so 12 pi (we can work that out later). now for the quater circle, divide it by 4, so 3 pi. Then you have the 2 extra edges which are both 2r, so 6 each. finally, you have 3 pi plus 12 which = 21.42
-12p+3p×2
please show me all the workings
Answers
Multiply 3x2
-12p+6p
Collect like terms
-6p
fasttt please 6,132 ÷ 10³ =
Answers
Answer:
6.132
Step-by-step explanation:
please mark me the brainiest
NO LINKS PLEASE
I NEED THEM TODAY
NO LINKS!!!
Answers
Answer:
13. True, False, True
14. False, True, True
15. All true
What is the square root of 81
Answers
Answer: 9
Step-by-step explanation:
9*9 = 81
Answer:
9
Step-by-step explanation:
9*9=81
A coffee shop offers small, medium, and large sizes. Customers can choose
between French roast and Italian roast.
Answers
Answer:
6
Step-by-step explanation:
small with french roast or italian roast =2
medium with french roast or italian roast =2
large with french roast or italian roast =2
All of them combined =6 possible out comes