Answer:
The diagonal of the rectangle is approximately 42.5 inches.
Step-by-step explanation:
The area of a rectangle is given by the following formula:
area = width*length
In this case the width = 2*length, therefore we have:
area = 2*length²
722 = 2*length²
2*length² = 722
length² = 361
length = sqrt(361) = 19 inches
width = 2*length = 2*19 = 38 inches
The diagonal forms a right triangle with the sides of the rectangle, where it is the hypotenuse. Therefore we can use Pytagora's theorem:
diagonal = sqrt(length² + width²)
diagonal = sqrt(19² + 38²) = 42.485 inches
The diagonal of the rectangle is approximately 42.5 inches.
Answer:
42.5 inches
Step-by-step explanation:
l = length
w = 2l
A = 722
A = l*w
722 = l * 2l
722 = 2l^2
Divide each side by 2
361 = l^2
Take the square root of each side
sqrt(361) = l
w = 2 * sqrt(361)
We want to find the diagonal so we can use the pythagorean theorem
a^2+ b^2 = c^2 where c is the length of the diagonal
l^2 + w^2 = c^2
(sqrt(361)) ^2 + (2 sqrt(361))^2 = c^2
361+1444 = c^2
1805 = c^2
Take the square root of each side
sqrt(1805) = sqrt(c^2)
42.48529 = c
To the nearest tenth
42.5 =c
The floor of a living room is 7m by 5m. How many 50cm square tiles are required?
Answer
7m x 5m = 35, then multiply by 100, so then the answer is 3,500
Step-by-step explanation:
The number of tiles that can fit in the living room is 7000.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
As per the given dimension of the living room,
7m by 5m
Area = 7 x 5 = 35 m²
Area of one tile = 50 cm² = 0.005m²
With this surface area the number of tiles that can be fit,
35/0.005 = 35000/5 = 7000
Hence "The number of tiles that can fit in the living room is 7000".
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sos please help me......
Answer: 170
Step-by-step explanation:
Hemisphere volume formula
V = (2/3)πr3
(2/3)•(3.14)•(2.5)^3=32.7 (33)
Cylinder volume formula
V=πr^2h
(3.14)(2.5)^2(7)=137.4 (137)
137+33=170
URGENT PLEASE
Rhonda kept track of the cats at a shelter where she volunteers. She measured how many times per day each cat ate, and she also ranked their activity level on a scale from 1 to 10 each day. She found the line of best fit for the data has the equation y=0.23x+4.1, where x represents the activity level and y represents the number of meals eaten.
If a cat had an activity level of about 9, then it's likely to have eaten about _[blank]_ meals.
Enter the value that correctly fills in the blank.
Round to the nearest whole number, if necessary, like this: 42
If a cat had an activity level of about 9, then it's likely to have eaten about 6 meals.
What is a linear equation?A linear equation is in the form:
y = mx + b
Where m is the rate of change and b is the intial value of y.
Let x represents the activity level and y represents the number of meals eaten. Given that:
y = 0.23x + 4.1
For an activity level of 9 (x = 9):
y = 0.23(9) + 4.1 = 6.17
If a cat had an activity level of about 9, then it's likely to have eaten about 6 meals.
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Answer:
answer is 6
Step-by-step explanation:
i took the work
What is the area of triangle DEF?
2 StartRoot 2 EndRoot square units
2 StartRoot 14 EndRoot square units
6 StartRoot 22 EndRoot square units
12 StartRoot 77 EndRoot square units
The answer is B
Answer:
B. [tex]2\sqrt{14}[/tex]
Step-by-step explanation:
Plug it in Heron's formula.
Answer:
2 StartRoot 14 EndRoot square units
Step-by-step explanation: i just did it :)
The surface area of a sphere is 452.15 cm squared. Find the length of the radius and use 3.14 for pie
Answer:
Step-by-step explanation:
6cm approximately
HELP ILL MARK YOU AS BRAINILIEST
Answer:
D
Step-by-step explanation:
rise over run!
Answer:
I'm not sure what the answer is. This app is on my mom's phone and it's late. If you have any questions starting Monday I can help you then
637-627(629)=(93+52)-(-6376-x)
Answer:
uhh maybe 3 1/2 im not sure
Step-by-step explanation:
A square pyramid has a base area of 25 square inches, and a volume of 150 cubic inches. What is the height of the pyramid in inches?
Answer:
Step-by-step explanation:
Colin rolls a fair dice 18 times.
How many times would Colin expect to roll a number greater than 3?
Answer:
8 or 1/2
Step-by-step explanation:
The requried probability that colin expects to roll a number greater than 3 is 1/2.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
Colin rolls a fair die 18 times.
The total outcome of 1 die = 6
So, for 18 die total outcome = 6 × 18
Now,
Favorable outcome = 4, 5, 6 = 3
A total favorable outcome for 18 dice = 3 × 18
Probability, many times would Colin expect to roll a number greater than 3.
= 3 × 18 / 6 × 18
= 1 / 2
Thus, the requried probability that colin expects to roll a number greater than 3 is 1/2.
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Graph the equation h=3sin (pi/2(t+2)+5
Answer: The answer is in the image below.
find the distance between the two points PICTURE ABOVE
Answer:
[tex]\sqrt 40[/tex]
Step-by-step explanation:
What is the difference between a minor and major arc of a circle?
Answer:
Hi there!
Given two points on a circle, the minor arc is the shortest arc linking them. The major arc is the longest.
The height of a parallelogram is 6.5 cm.
The base is 13 cm. What is the area of the
parallelogram?
Area of parallelogram = base × height
Area = 6.5 × 13 = 84.5 cm²
[tex]area = base \times height \\ area = 13cm \times 6.5cm \\ area = 84.5cm {}^{2} [/tex]
Stephanie and Susan were counting the money from their lemonade stand Stephanie sold 4 times more glasses of lemonade than Susan. Together they sold 50 glasses of lemonade. How many glasses of lemonade did each person sell?
steps ?!
Answer
Stephanie sold 40 glasses while Susan sold 10 glasses
Step-by-step explanation:
Stephanie sold 4 times more glasses than Susan, overall of 50 glasses
Point B has coordinate B(1, –1). What is the coordinate of B' under a scale factor of 3?
1,-1
3,-3
-2,2
-6,6
Answer:
The coordinate B' is [tex]B' = (3, -3)[/tex].
Step-by-step explanation:
The new coordinate is computed by applying the scale factor with respect to origin:
[tex]B' = \alpha \cdot B[/tex]
[tex]B' = 3\cdot (1,-1)[/tex]
[tex]B' = (3\cdot 1, 3 \cdot (-1))[/tex]
[tex]B' = (3, -3)[/tex]
Answer:
B) 3,-3
Step-by-step explanation:
A). What is the volume of the below triangular prism?
B.) What is the surface area of the below triangular prism?
Solution:
Answer:
The surface area
Step-by-step explanation:
1/2(8)(3)=12
1/2(8)(3)=12
(8)(12)=96
(8)(12)=96
(8)(12)=96
12+12+96+96+96=312cm
What is the circumference and area of a circle with a radius of 4 meters? Round your answer to the nearest tenth.
Answer:
50.27 for the area
25.13 for the circumference
Step-by-step explanation:
A=πr2=π·42≈50.26548
C=2πr=2·π·4≈25.13274
can y'all help me plz anyone
Answer:
y=2x+2
Step-by-step explanation:
2 is the slope and 2 is also the y intercept. So your equation would be y=2x+2. It is correct because 14=2(6)+2 is true.
Which three programs or services are supported by taxes?
fire departments
Medicare
public education
shopping malls
theaters
Answer: A,B,C
fire department, medicare, public education
Step-by-step explanation: Plato answer
The three programs or services are supported by taxes are fire departments, Medicare and public education
What is Tax?A tax is a sum of money that people pay to the government for the services provided by the government.
The three programs or services that are supported by taxes are:
Fire departments: Taxes are used to fund fire departments that provide emergency services such as firefighting, rescue, and medical assistance.
Medicare: Taxes are used to fund Medicare, a federal health insurance program for people who are 65 or older, certain younger people with disabilities, and people with End-Stage Renal Disease.
Public education: Taxes are used to fund public education, including elementary, middle, and high schools, as well as public colleges and universities.
Shopping malls and theaters are not typically supported by taxes.
They are usually privately owned and funded by their owners.
Hence, the three programs or services are supported by taxes are fire departments, Medicare and public education
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What is the first step to solve this equation: 3x =44
You need to divide 3 on both sides
The correct first step to solve the equation 3x = 44 is to divide both sides by 3.
To solve the equation 3x = 44, the first step is to isolate the variable x on one side of the equation.
To achieve this, you need to undo the multiplication by 3 on the left side of the equation.
Since 3x means 3 multiplied by x, you need to divide both sides of the equation by 3.
By dividing both sides of the equation by 3, you are essentially canceling out the effect of the multiplication by 3 on the left side.
This step allows you to isolate the variable x.
So, the correct first step to solve the equation 3x = 44 is to divide both sides by 3.
Hence the correct option is 4th.
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Tell whether each set of events is independent or dependent (problems 1 - 4).
1. The teacher randomly selects two students from the class.
2. You roll a 3 on a number cube and choose a 3 from a deck of cards.
3. Pick "Joe" from a box of names, replace it, and then pick "Craig".
4. Pick "Joe" from a box of names, set it aside, and then pick "Craig".
Answer:
1 dependent
234 independent
Step-by-step explanation:
Photo above no work needed just the answer thank you
Answer:
Step-by-step explanation:
1.1,0,-1,-2,-3,-4
2. The distance is 5 points
Which expression is equivalent to 9 – 8x?
A. -8x – 9
B. -8x + 9
O c. 8x - 9
D. 8x + 9
Answer:
option B -8x+9
Step-by-step explanation:
If you switch position around, - 8x will go in front and +9 will go at the back
*remember that the signs in front of a number is for the number and number without signs their signs are automatically +
The expression is 9 - 8x is equivalent to the -8x + 9.
What is expression?
An expression is statement which is "combination of numbers, variables and functions".
According to the question,
The expression is 9 - 8x is equivalent to the -8x + 9.
The signs in front of a number is for the number and number without signs their signs are automatically +.
Hence, the expression is 9 - 8x is equivalent to the -8x + 9.
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Rewrite [tex]\frac{2}{x^{2}-x-12 } and \frac{1}{x^{2}-16 }[/tex] as equivalent rational expressions with the lowest common denominator.
Provide your answer below:
___ , ___
Answer:
2(x+4)/(x+3)(x-4)(x+4) and 1(x+3)/(x+3)(x-4)(x+4)
Step-by-step explanation:
Factor x^2-x-12: (x+3)(x-4)
Factor x^2-16: (x+4)(x-4)
So, LCD would be (x+3)(x-4)(x+4)
Rewritten: 2(x+4)/(x+3)(x-4)(x+4) and 1(x+3)/(x+3)(x-4)(x+4)
I hope this helped and have a good rest of your day!
Solve for a in the problem:
-3(9a+2)=129
Answer: a = -5
Step-by-step explanation:
-3 (9a+2)=129
-27a -6 = 129
-27a = 129+6
-27a = 135
a = -135/27
Answer:
a= -5
Step-by-step explanation:
To solve the equation, we want to find out what a is. In order to do this, we have to get a by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
-3(9a+2)=129
-3 is being multiplied by 9a+2. The opposite of multiplication is division, so divide both sides by -3.
-3(9a+2)/-3=129/-3
9a+2=129/-3
9a+2=-43
2 is being added on to 9a. The opposite of addition is subtraction, so subtract 2 from both sides.
9a+2-2= -43-2
9a= -43-2
9a= -45
a is being multiplied by 9. The opposite of multiplication is division, so divide both sides by 9.
9a/9= -45/9
a= -45/9
a=-5
The triangles shown are
congruent.
What is a correct congruence
statement for the triangles
shown?
HELP ASP PLS I WILL GIVE YOU THE POINTS !!!
Answer:
MCW
In order to find it you want to make sure the letters go in the exact same order.
Answer:
MCW
Step-by-step explanation:
Sebastian has 50 marbles in a bag. 20% of the marbles are green. How many marbles are green?
Answer: 10
Step-by-step explanation:
50 divided by 10 is 5
10%=5
20%=10
Answer:
10 marbles are green
Step-by-step explanation:
Let me explain.
Using price×rate= amount
you do 50x20%= 10. This means that out of the 50 marbles
only 10 are green.
omer selects
Mel's Sandwich Shop
Bread
White
Wheat
Sandwich Bun
Pita
Filling
Ham
Roast Beef
Tuna Fish
Turkey
Cheese
American
Provolone
Pepper Jack
No Cheese
Condiments
Ketchup
Mayonnaise
Mustard
No Condiment
Vegetables may be added free of charge at the self-serve veggie station.
Make your lunch sandwich into a combo platter for an additional $1.00!
1. How many different sandwiches can you make from the choices on the menu board?
2. The sandwich shop has several customers that are vegetarians. In place of the fillings
listed on the menu, the sandwich shop uses a vegetable spread on these orders. How
many different vegetarian sandwiches can you make from the choices on the menu
board?
Lunch special: $3.75
Use the menu board to answer the questions.
whes into
Answer:
3. .75 :) your welcome I did awesome
I need help. It's kinda hard for me. We have to use decimal numbers
Answer: 2.4 + 7.6 = 10
Step-by-step explanation:
Hope this helps
How many ways can you pick a President, Vice President, Secretary and Treasurer from a group of 12 people?
479,001,600
19,958,400
20,736
11, 880
Answer: 20,736
Step-by-step explanation:
There are 12 people total in the room, so the base of the exponent will be 12.
Sine there are 4 possible positions, the exponent will be 4.
# of possibilities = 12^4
12^4 = 12 * 12 * 12 *12 = 20,736