Workers need to know the area of a park to determine how much grass seed to order. A worker drew a sketch of the park to find its area. Which is the area of the park?
Answers
The area of the figure is 1465 square m because the figure consists of squares and trapezoids.
What is a square?It is defined as a two-dimensional geometry that has four sides and four vertices. The sides of the square are equal in length. It is a regular quadrilateral.
We have a figure shown in the picture that represents a sketch of the park.
Workers need to know the area of a park to determine how much grass seed to order.
The figure consists of squares and trapezoids.
The trapezoid can be defined as the quadrilateral having four sides in which two sides are parallel to each other, it is a 2-dimensional geometry.
The area of the figure = area of the square + area of the trapezoid
The area of the figure = 10×10 + (38 + 40)35/2
The area of the figure = 100 + (78×35)/2
The area of the figure = 100 + 1365
The area of the figure = 1465 square m
Thus, the area of the figure is 1465 square m because the figure consists of squares and trapezoids.
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Related Questions
A baseball coach purchased a total of 28 helmets and caps. Each helmet cost $21.50, and each cap cost $8.25. If the coach spent a total of $363.50, how many helmets did the coach purchase?
Answers
Answer:
5 helmets
31 caps
8.25, 16.50 24.75 33 x 10 = 330
330/2 = 165 = 20 helmets
363.50 - 165 = 198.50
5 x 21.50 = 107.50 (+ 11 x 8.25 = 16.50+24.75 +24.75+24.75 = 49.50+41.25) =£91 + 107.50 = 198.50
20+11 = 31
31 caps
5 helmets
Step-by-step explanation:
There are 10 helmets did the coach purchase.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
A baseball coach purchased a total of 28 helmets and caps.
And, Each helmet cost $21.50, and each cap cost $8.25. and the coach spent a total of $363.50.
Let number of helmets = x
And, Number of caps = y
Here, A baseball coach purchased a total of 28 helmets and caps.
Hence, We get;
⇒ x + y = 28 ..(i)
And, Each helmet cost $21.50, and each cap cost $8.25. and the coach spent a total of $363.50.
Hence, We get;
⇒ 21.50x + 8.25y = 363.50
⇒ 5 (4.30x + 1.65y) = 5 × 72.7
⇒ 4.30x + 1.65y = 72.7 .. (ii)
Multiply by 4.30 in (i) ad subtract from (ii);
⇒ 4.30x + 4.30y - 4.30x - 1.65y = 120.4 - 72.7
⇒ 2.65y = 47.7
⇒ y = 18
And, From (i);
⇒ x + y = 28
⇒ x + 18 = 28
⇒ x = 10
Hence, Number of helmets = 10
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please help! desperateee
Answers
Answer:
52
Step-by-step explanation:
This is an isosceles triangle, so the base angles will be the same. Then you know that all of your angles will add up to 180.
Your equation can be:
2(2x+2) + (3x + 1) = 180
x = 25
S = 2(25) + 2
S = 52 degrees
Answer:
52
Step-by-step explanation:
Because SR = TR, ∡S =∡T= 2x+2
For any triangle sum of all angles = 180°.
2x+2 +2x+2+3x+1= 180
7x + 5 =180
x = 25°
∡S =2x+2=2*25+2 = 52°
Big ideas math 6th grade chapter 5 test
Answers
Answer:
I'm not sure if you need help but...
Step-by-step explanation:
6+6=12
(x + 4)
110°
3x
Measure of
Answers
Answer:x=57
Step-by-step explanation:
Answer:
30.5
Step-by-step explanation:
Measure of angle A and B equals 110 because of how triangles work
Therefore 3x + x + 4 = 110
4x + 4 = 110
Subtract 4 from each side
4x = 106
Divide both sides by 4
x = 26.5
Measure of angle ABC equals 26.5 + 4 = 30.5
Which of the following line is moving at a faster speed
Answers
Answer:
a. it's a steep line covering more distance over time
Justin played a game with 24 floating plastic ducks each with a colored sticker on the bottom. There are an equal number of red blue and green stickers on the set of ducks. What is the probability that one duck chosen at random will have a red or blue sticker
Answers
Answer:
Because there are 24 ducks total and they are separated equally into three categories, we can figure out that there are 24 / 3 = 8 ducks of each color. This makes the probability of pulling a red/blue duck would be (8*2)/24 or 16/24. If we want this to be a percentage we can just solve 16/24*100 and it will give us 66.66...%
HELP HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
The first one dividing the number by 100
Step-by-step explanation:
Find the 76th term of the arithmetic sequence 17, 19, 21, ...
Answers
Answer: 167
Step-by-step explanation: To find the 76th term of this arithmetic sequence, we will be using our explicit formula which is shown below.
[tex]^{a}n = ^{a}1 (n - 1)d[/tex]
Since we want to determine the 76th term, we are going
to substitute 76 in for n in our explicit formula.
Then, [tex]^{a}1[/tex] will be our first term in our sequence which is 17.
Lastly, d is our common difference or the difference between each of the terms in our arithmetic sequence which is 2.
So we have [tex]^{a} 76 = 17 + (76 - 1)(2)[/tex].
Now we have all the information we need. Just simplify from here.
Make sure to apply order of operations because this is where many
students make mistakes. Inside the parentheses first!
(76 - 1) is going to be 75.
So we have [tex]^{a} 76 = 17 + (75)(2)[/tex].
Then, we have to make sure we multiply before we add.
So (75)(2) is going to give us 150.
So we have [tex]^{a} 76 = 17 + 150[/tex].
Now just add to find that [tex]^{a} 76 = 167[/tex].
So the 76th term is 167.
What is the total area, in square units, of the
figure shown below?
a. 6
b. 12
c. 24
d. 30
Answers
Answer:
30 !
Both are right triangles so you can do 4*3= 12 and then 12/2= 6
then 6*8=48 and 48/2=24
24+6 =30!
hope this helps ! :)
8x6=48 48divided by 2 equals 24
3x4=12 12divided by 2equals 6
6+24 equals 30
one and a half miles in one hour
Answers
Answer:
I don't get your question but if you are asking. How long is 1 hour and a half?
The answer for this question is 15 minutes.
Step-by-step explanation:
How long is 1 hour and a half?
15 minute is the right answer
I need help with this question thank u
Answers
The answer would be A. n = t + 2
The sequence is adding two to the last term in the sequence, or t.
Hope this helps !
Answer:
The answer is C.
[tex]n = 2t - 1[/tex]
Step-by-step explanation:
You can simply determind the answer by placing all pair of value n and t in the equation, one by one.
First, try the answer A, you should get as following;
[tex]n = t + 2 \\ 1 = 1 + 2[/tex]
and try to see if it is true or not,
in this case,
1 will never equal 1 + 2 (1 ≠ 1 + 2)
Therefore A is not the Answer. Try going through all other choices, and you will find the answer. The calculation is very simple, you probably won't need a calculator!
[EDIT]
i just realize this answer is wrong sorry
In the figure angle a measures 41 degrees and angle d measures 32. What is the measurement of angle E?
Answers
Answer:
it is c
Step-by-step explanation:
1) Which of the equivalent expressions for P(x) reveals the price which gives a profit of
zero without changing the form of the expression?
P(x) = -3x? + 432x - 1680
b) P(x) = -3(x-4)(x - 140)
P(x) = -3(x - 72)2 + 13872
2) Find a price, which gives a profit of zero.
Answers
Answer:
1. (B)P(x) = -3(x-4)(x - 140)
2. $140
Step-by-step explanation:
(1) Given the profit function, P(x) where x is the price, the expression which reveals the price which gives a profit of zero without changing the form of the expression is:
P(x) = -3(x-4)(x - 140)
This is as a result of the fact that equating it to zero immediately yields the zeros of the quadratic polynomial.
(2)When the profit, P(x)=0, then using the expression above we have:
[tex]P(x) = -3(x-4)(x - 140)\\Since -3\neq 0, then:\\x-4=0$ or x-140=0\\x=4 or x=140[/tex]
A price of $4 or $140 as the case may be gives a profit of zero.
I NEED HELP PLEASE!!!!
I NEED HELP PLEASE!!!!
I NEED HELP PLEASE!!!!
I NEED HELP PLEASE!!!!
I NEED HELP PLEASE!!!!
I NEED HELP PLEASE!!!!
Answers
Answer:
B is correct
You can double check it! :)
Hope this helps!
Tips:
Select a condition, check the 4 tables and eliminate 2 tables at once.
Then check the remaining 2 tables.
:)
Answer:
B. W
Step-by-step explanation:
College & university: 6
College & not university: 17
Not college & university: 28
Not College & not university: 9
a rectangular field has side lengths that measure 9/10 mile and 1/2 mile. What is the area of the field
Answers
Answer:
9/20, or 0.45 mile.
Step-by-step explanation:[tex]\\[/tex]
To find the area of a rectangle, multiply length times width. In this problem we are given both the length and width.
[tex]\frac{9}{10}[/tex] × [tex]\frac{1\\}{2}[/tex] is just 9/20, which is 0.45.
A survey was done to investigate the relationship between liking math and learning a musical
instrument. The results are shown in the Venn diagram below. If a person was selected at
random from this survey, which of the following would be the probability of liking math given
that they don't take music?
A) 0.22
Likes Math
Takes Music
B)
0.28
C)
0.33
22
80
45
D)
0.37
38
Answers
The probability of liking math given that they don't take music is 0.37 option (D) 0.37 is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.
The probability:
P(Math/Music') = P(Math∩Musci')/P(Music')
Total number of sample = 22+80+45+38 = 185
Probability of liking math:
P(Math) = (22+80)/185 =0.55
Probability:
P(Music) = (45+80)/185 = 0.68
P(Music') = 1-0.68 = 0.32
Probability of liking math and liking music:
P(Math∩Music) = 80/185 = 0.43
Now, P(Maths/Music) = (0.55 - 0.43)/0.32 = 0.375 ≈ 0.37
Thus, the probability of liking math given that they don't take music is 0.37 option (D) 0.37 is correct.
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Can someone help me with questions 2 and 3 pls?
Answers
1 cup = 1/2 pint, so where it says 4 cups we'll just read 2 pints.
1. In one show we serve 30 × 2 pints of small and 42 × 6 pints of regular.
Total = 30 × 2 + 42 × 6 = 60 + 252 = 312 pints
Answer: 312 pints
2. 8 pints per gallon, 2 gallons per container makes 16 pints per container.
312 pints / 16 pints per container = 19.5 containers
We round up since we need a whole number of containers.
Answer: 20 containers
We can't really see question 3.
Each side of a square name tag is 7 centimeters long. What is the name tag's area?
Answers
Answer:
49 cm²
Step-by-step explanation:
The area for a square is Area = length x width, and if the square name tag is 7cm long on "each side", that means that both the length and the width are 7cm.
Plug this into the formula to get A = 7cm x 7cm.
This can be simplified to A = 49cm².
Answer: 49 cm^2
Step-by-step explanation:
7 x 7 = 49
12. For angle A it is known that sin(A)>0 and tan (A) <0. If A is drawn in standard position, in which quadrant
does its terminal ray lie?
Answers
Answer:
Quadrant 2
Step-by-step explanation:
Sin = opp/hyp and opp is positive in quadrants 1 & 2.
Tan = opp/adj - we need one of these values to be positive and the other negative. adj is negative in quadrants 2 & 3.
Quadrant 2 is found in both of the scenarios that we need to occur.
Can you help me find MAD for this
Answers
Answer:
5
Step-by-step explanation:
(3+15+21+13)/4 = 13
13 - 3 = 10
15 - 13 = 2
21 - 13 = 8
13 - 13 = 0
(10+2+8+0)/4 = 5
Write an expression in simplest form for the perimeter of a right triangle with leg lengths of 12a to the power of 5 and 9a to the power of 5.
Answers
Answer:
[tex]36a^5[/tex].
Step-by-step explanation:
In a right angle triangle,
Length of one leg [tex]=12a^5[/tex]
Length of other leg [tex]=9a^5[/tex]
According to the Pythagoras theorem,
[tex]Hypotenuse^2=leg_1^2+leg_2^2[/tex]
Using Pythagoras theorem,
[tex]Hypotenuse^2=(12a^5)^2+(9a^5)^2[/tex]
[tex]Hypotenuse^2=144(a^5)^2+81(a^5)^2[/tex]
[tex]Hypotenuse=\sqrt{225(a^5)^2}[/tex]
[tex]Hypotenuse=15a^5[/tex]
Perimeter of right angle triangle is the sum of all sides of the triangle.
[tex]Perimeter=12a^5+9a^5+15a^5[/tex]
[tex]Perimeter=36a^5[/tex] units.
Therefore, the required expression is [tex]36a^5[/tex].
I need help plzzzz I’m nearly done
Answers
Answer:
≈ 70.4 cm
Step-by-step explanation:
The circumference (C) of a circle is calculated as
C = 2πr ( r is the radius ) , thus
C = 2 × 3.142 × 11.2 ≈ 70.4 ( to 1 dec. place )
PLZZZ HELP ME I NEED HELP AND I HAVE A TIMER AND I WILL GIVE YOU BRAINLEST
On a coordinate plane, 2 lines intersect around (3.8, negative 1.5).
Given the graph of a system of equations, which statements are true about the solution? Check all that apply.
The x-value is an integer.
The x-value is between 3 and 4.
The y-value is between –2 and –1.
The x-value is positive.
The x- and y-values have the same sign
Answers
Answer:
b,c,d
Step-by-step explanation:
I just did the assignment
Answer:
b, c. d
Step-by-step explanation:
The likelihood that Steph makes a free throw in basketball is 60%. The likelihood he makes a 3-point shot is 0.345.
Which event is more likely, Steph making a free throw or making a 3-point shot?
Drag the different shots to the correct location on the number line?
which on is first on the number line free throw or making a 3-point shot?
which on is second on the number line free throw or making a 3-point shot?
Answers
Answer:
A free throw is more likely
First: 0.345
Second: 60%
Step-by-step explanation:
For placement:
0.345 would be behind 0.5
And
60% would be ahead of 0.5
60% = 0.6
0.345 < 0.6
Answer:
A free throw
Step-by-step explanation:
The temperature in a greenhouse should be 65 degrees or higher. One morning, the heater stopped working. The temperature dropped 2 degrees before someone fixed the heater. The temperature was still at least 65 degrees when the heater started working again. How can you best describe the temperature in the greenhouse before the heater stopped working?
Answers
Find the probability that a point chosen at random will lie in the shaded region.
I don't understand what to do here :(
Answers
Step-by-step explanation:
In the 1st question
Total boxes = 6
Shaded boxes = 2
Probability = 2/6 = 1/3
What number can be used to complete the volume statement for the cone?
4 m
3 m
Volume =
sm
Answers
Answer:
V=πr2h /3
Step-by-step explanation:
Answer:
V=πr2h /3
Step-by-step explanation:
Claire completed the steps to solve the system of equations. 4 x minus 2 y = 4. 3 x + 3 y = 21. Step 1 12 x minus 6 y = 12. 6 x + 6 y = 42. Step 2 18 x = 54. Step 3 x = 3. Step 4 4 (3) minus 2 y = 4. 12 minus 2 y = 4. 2 y = negative 8. y = negative 4. Step 5 Solution is (3, negative 4). Is Claire’s solution to the system of equations correct? Explain why or why not. No, Claire should have multiplied the second equation by negative two instead of positive two in step one. Yes, Claire correctly added the equations and then substituted for x to solve for y. No, Claire should have multiplied the first equation by negative three instead of positive three in step one. No, Claire should have gotten Negative 2 y = negative 8 instead of 2 y = negative 8 in step four.
Answers
Answer:
I'm pretty sure it's "No, Claire should have multiplied the second equation by negative two instead of positive two in step one."
Step-by-step explanation:
Answer:
A. "No, Claire should have multiplied the second equation by negative two instead of positive two in step one."
Step-by-step explanation:
Claire completed the steps to solve the system of equations. 4 x minus 2 y = 4. 3 x + 3 y = 21. Step 1 12 x minus 6 y = 12. 6 x + 6 y = 42. Step 2 18 x = 54. Step 3 x = 3. Step 4 4 (3) minus 2 y = 4. 12 minus 2 y = 4. 2 y = negative 8. y = negative 4. Step 5 Solution is (3, negative 4). Is Claire’s solution to the system of equations correct? Explain why or why not. No, Claire should have multiplied the second equation by negative two instead of positive two in step one. Yes, Claire correctly added the equations and then substituted for x to solve for y. No, Claire should have multiplied the first equation by negative three instead of positive three in step one. No, Claire should have gotten Negative 2 y = negative 8 instead of 2 y = negative 8 in step four.
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Sorry For The Smol Brain Question..............
What is the net change in the temperature relative to when lko woke up
Answers
Complete question:
Between the time iko woke up and lunchtime, the temperature rose by 11°. Then by the time he went to bed, the temperature dropped by 14°.
What is the net change in the temperature relative to when lko woke up?
Answer:
The net change in the temperature relative to when lko woke up =
[tex]\bold{-3}[/tex] °
Step-by-step explanation:
Given that between his wake up time and lunch time, temperature rose by 11°. Let the new temperature be [tex] \bold{T1} [/tex] and let the initial temperature(temperature before wakeup time) be [tex] \bold{T} [/tex]
Since the temperature rose by 11°, the new temperature after Iko woke up, T1, would be derived by adding 11° to the initial temperature.
i.e, T1 = T + 11......................(1)
At bed time the temperature dropped by 14°. Therefore, the temperature would now be 14 less than the new temperature T1. It is expressed as:
T1 + (-14).......................... (2)
Let's substitute T + 11 for T1 in equation 2, we have:
T + 11 + (-14)
To find the expression for the net change in temperature, let's subtract the initial temperature T, from (T+11 -14) i.e,
ΔT = (T + 11 - 14) - T
Solving further, we have:
ΔT = T - T + 11 - 14
ΔT = 11 - 14
ΔT = -3°
Therefore, the net change in the temperature relative to when lko woke up is = -3°
how do i solve this?
Answers
Answer:
idk
Step-by-step explanation:
idk
Answer:
that is to hard
Step-by-step explanation:
