The dimension of the shape is approximately 1.45 meters by 0.55 meters
Assume the shape is a rectangle, that has the following dimensions.
Length = x
Width = y
So, the area is:
Area = xy
The perimeter is
Perimeter = 2(x + y)
Substitute known values
[tex]\mathbf{xy = 0.8m^2}[/tex]
[tex]\mathbf{2(x+y) = 400cm}[/tex]
Express cm as m
[tex]\mathbf{2(x+y) = 4m}[/tex]
Divide through by 2
[tex]\mathbf{x+y = 2m}[/tex]
Make x the subject (ignore the units)
[tex]\mathbf{x= 2 - y}[/tex]
Substitute 2-y for x in [tex]\mathbf{xy = 0.8m^2}[/tex]
[tex]\mathbf{(2-y)y = 0.8}[/tex]
Open brackets
[tex]\mathbf{2y-y^2 = 0.8}[/tex]
Rewrite as:
[tex]\mathbf{y^2 - 2y + 0.8 = 0}[/tex]
Using a calculator, we have:
[tex]\mathbf{y \approx (0.55,1.45)}[/tex]
Recall that:
[tex]\mathbf{x= 2 - y}[/tex]
So, we have:
[tex]\mathbf{x \approx (2-0.55,2-1.45)}[/tex]
[tex]\mathbf{x \approx (1.45,0.55)}[/tex]
Hence, the dimension of the shape is approximately 1.45 meters by 0.55 meters
Read more about areas and perimeters at:
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You have already traveled 25 miles. If you continue driving at the same speed, x miles per hour, for 5 more hours, you will travel y total miles. Which equation shows how x and y are related?
A. 5x + 25 = y B. 25 – y = 5x
C. 25x + 5 = y D. 25 – 5x = y
25 miles is the constant. x is the changing factor. x miles per hour for 5 hours is 5x. y is the total amount. This means that our formula is going to be A) 5x + 25 = y.
All of the other options are incorrect.
I hope this helps! :)
find the degree of the following polynomial and determine whether it is a monomial, trinomial, or none of these.
2x+1
None, it is a binomial because it has 2 terms. The degree is 1.
Hope this helps friend~ ^^
1. The diameter of each tire on a model car is 10.668 mm. The actual diameter of a car's tire is 5.29 X 102 mm. About how many times larger is the actual diameter of a car tire than the diameter of the tire on the model car? A 5 times B 50 times +90 100 times D 500 times
The number of times the actual diameter is larger than the model is 50 times.
A tire has the shape of a circle. The diameter is line that goes through the center of a circle and divides the circle into two.
In order to determine how many times larger the actual diameter is greater than the model, the actual diameter would be divided by the diameter of the model.
5.29 x 10² ÷ 10.668
529 ÷ 10.668
= 49.6
= 50 times
Please find attached an image of a circle. To learn more, please check: https://brainly.com/question/13590859
2b - 37 = 152 - 5
Know how to do it but keep getting the wrong answer work this out for me
2b - 37 = 152 - 5
2b - 37 = 147
2b = 147 + 37
2b = 184
b = 92
PLEASE HELP!
Using the information below draw a diagram, making sure to label the sides and angles, to help answer the following 2 questions. Don’t forget to label your answer.
∆ABC ≅∆DEF
AC = 15 in., AB = 24 in., m∠A = 34°, m∠C = 124°
What are the values of DE and m∠E?
DE = ______ m∠E = ________
Answer:
DE = ____24__ m∠E = ____22____
Step-by-step explanation:
I hope this helps
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology.
Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.
pls help me out quick,
Answer:
Step-by-step explanation:
1. 2x + 3y = 1,470
–2x –2x
3y = –2x + 1,470
3y/ 3 = –2x/3 + 1,470/3
y = –2x/3 + 490
The y-intercept of this equation is 490 and the slope is -2x/3.
2. I would graph this line by finding the y-intercept 490 first.
Then, you would move down twice from 490 to 488.
Finally, you would move to the right 3 times.
3. F(x) = –2x/3 + 490
The graph would represent the profit of Sal’s Sandwich Shop on every sandwich and wrap from the lunch specials last month.
How much would it cost Matt to buy 2½ metres? when it is 9.50 per metre
Answer: 23.75
Step-by-step explanation:
Two types of binocular depth cues are __________ and __________. A. Motion parallax. . . Pictorial depth cues B. Convergence. . . Retinal disparity C. Motion parallax. . . Retinal disparity D. Convergence. . . Pictorial depth cues Please select the best answer from the choices provided A B C D.
Answer:
D. Convergence hope it helps
find three rational numbers between -1/2 and 1/2
Answer:
-1/4, 1/8 and 1/5.
Step-by-step explanation:
.Question.[Mathematics]
6! =
7! =
[tex] \: \: \: \: \: \: [/tex]
[tex]6! = 720 \\ \\ 7! = 5040[/tex]
Step-by-step explanation:
[tex]6![/tex]
Usen! -n × ( n - 1 )×...× 2 x 1 to = calculate the factorial[tex]6 \times 5 \times 4×3× 2×1[/tex]
calculate the product[tex] = 720[/tex]
[tex]7! = [/tex]
Usen! - nx(n-1)×...*x2x1 to = calculate the factorial[tex]7 \times 6 \times 5 \times 4×3×2×1[/tex]
calculate the product[tex] = 5040[/tex]
hope it helps[tex] \: \: \: \: \: \: \: [/tex]
Answer:
720 and 5040
Step-by-step explanation:
Using the definition of n! ( n factorial )
n! = n(n - 1)(n - 2) ...... × 3 × 2 × 1
6! = 6 × 5 × 4 × 3 × 2 × 1 = 720
7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040
I think of a number. I add 7, divide by 6, add 1 then square it. I get 9. What was my number?
Answer:
5
Step-by-step explanation:
Start with 9. Then do the opposite operation starting from the end.
9
√9 = 3
3 - 1 = 2
2 × 6 = 12
12 - 7 = 5
Answer: 5
PLEASE ANSWER THIS ASAP THE ONES I GOT WRONG PLEASE TELL ME THE RIGHT ANSWER
Answer:
for line b - the slope is 0, not undefined. an undefined slope is a vertical line.
for line d - the slope is -1/3. slope is written rise over run, so just count the units that it goes down and how many it goes right. it goes down 1 and right 3, so it is -1/3.
The bulletin board is in the shape of a square. Find two rational numbers that are within 1/8 in. of the actual side length.
Using the formular for the area of a square, the actual side length of the bulletin board is 12.25 inches
Area of a square = s²
s = side length of the squareHence, we have ;
150 = s²
s = √150
s = 12.247
Hence, a rational number within 1/8 inches of the actual side length would be 12.25 inches.
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Which of the following is 3.761 written in expanded notation?
A) (3 x 1) + (7 x 110) + (6 x 1100) + (1 x 11000)
B) (3 x 1) + (7 x 110) + (6 x 110) + (1 x 1100)
C) (3 x 1) + (7 x 110) + (1 x 1100) + (6 x 11000)
D) (3 x 1) + (7 x 110) + (6 x 110) + (1 x 1100)
WORTH 40 POINTS
Answer:
To write a number in expanded form, divide it into digits and display the value of each one. As a result, 144 would be 100 + 40 + 4 = 144.
Step-by-step explanation:
Marie and Amy are cutting ribbons to attach to balloons for Amy's birthday party. Each guest's chair will have on balloon tied to it. each ribbon is 2/3 of a yard and they have 6 yards of ribbon in total. How many ribbons will they cut. A. 1/9 B.4 C.8 D. 9
PLS ANSWER QUICK FIRST RIGHT ANSWER WILL BEE MARKED AS BRAINLEIST
Answer:
D 9
Step-by-step explanation:
1 ribbon ---- 2/3 yards
x ------ 6 yards
6 * 1 = 2/3 * x
6 = 2/3 x
18/2 = x
x = 9
9 ribbons can be cut from 6 yards of ribbon
Hailey ordered 12 pizzas for a grade level party. If each person eats 3/8 of a pizza equally, how many people can Hailey feed with 12 pizzas?
Answer:
24
Step-by-step explanation:
Riley and Rhoda plan to buy several bags of dog food and a dog collar. each bag of food cost $7, and the dog collar cost $5.
Answer:
matters on amount of dog food bought
Step-by-step explanation:
12 for 1 bag
19 for 2 bags
26 for 3 bags
33 for 4 bags
Sundas is making homemade greeting cards. The data table below represents the amount she spends in dollars, f(x), in terms of the number of cards she makes, х T(x) 4 7.50 6 9 9 11.25 10 12
Brainliest please if correct
the function that best represents the data is y = 0.75x + 4.5. The slope in this case represents the increase in the amount she spends in $ due to the number of cards she makes. The intercept with the Y axis (4.5) means that she has an expense of 4.5 $ without having made any card yet.
what is the distance of E(7.3) and F (-2,6)
An(5.4)
Step-by-step explanation:
how to slove and answer 11r+60=16
Answer:
r= -11
Step-by-step explanation:
11r + 60=16
we can see that 11x r + 60 = 16
but thats the problem ! we don't know what r is so
lets get r on its own
11r + 60 =16
subtract 60 from each side
60 -60 =0
left side = 11r
16-60 = -44
right side = -44
11 r = -11
divide both sides by 11
11r divided by 11 = r
-44 divided by 11 = -11
r=-11
I answered your question so plz mark as brainliest!xxxx
How to find missing angle of a right triangle given 2 sides
Answer:
As a rule of thumb, if you know only the two shorter side, their ratio is the tangent of the angle opposed to the side you use as a numerator.
If you know one side and the hypotenuse, the ratio side/hypotenuse is either the sine of the opposite angle, or the cosine of the adjacent angle.
solve pls brainliest
Answer:
mixed no. 51/10
Improper fraction 5/1/10
i need geometry help...
help me on this please
Answer:
1: AOB is 180 degrees 2: AOF + FOG = 180 degrees 3: 60 + 90 + 30 + 180 4: x = 15
Step-by-step explanation:
x = 15
Add up 5x - 15 + 90 + 2x = 180 degrees
FOG = 90 degrees (right angle)
Combine like terms to get 7x + 75 = 180
subtract 75 on both sides to get 7x = 105
Divide both sides by 7 to isolate x to get x = 15
Substitute 15 for every x you see so 5(15) - 15 and 2(15)
5(15) - 15 = 60
2(15) = 30
Hope this works!!! :)
Which statement is true regarding the functions in the graph?
F(6)=g(3)
F(3)=g(3)
F(3)=g(6)
F(6)=g(6)
In a square of side length s, what is the length of a diagonal?
Answer:
[tex]s\sqrt{2}[/tex]
Step-by-step explanation:
This would be the diagonal because the formula for diagonals in a square would be [tex]a\sqrt{2}[/tex], where a is the side length.
I need help with dis. (*_*)
Answer:
Uh, okay...
Step-by-step explanation:
A) -40-180=-220
B)-220-175=-395
C)-395-185=-585
D) Sorry I can't read it my eyesight's bad TwT
Solve the equation
9 + 13 = 31
False
9 + 13 = 31
22 ≠ 31
Answer:
22
Step-by-step explanation:
po ang tamang sagon po
which number is closest to 0.02
A. 0.019
B. 0.04
C. 0.1
D. 0
Answer: 0.019
Step-by-step explanation: 0.019 is the only closest number to 0.020, others are much less than 0.020.
7.90×10^−2/1.0×10^−5
Answer:
[tex] \frac{7.90 \times {10}^{ - 2} }{1.0 \times {10}^{ - 5} } \\ = 7.9 \times {10}^{5 - 2} \\ = 7.9 \times {10}^{3} [/tex]