Answer:
a little bit more than 37.70 yards
Step-by-step explanation:
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(3, -2), B(6, -2), C(6, 5), and D(3, 5). What is the area of rectangle ABCD?
Answer:
21
Step-by-step explanation:
a = 6-3 = 3
b = 5 -(-2)= 7
Area = a*b = 3*7 = 21
The area of rectangle ABCD which is graphed in the coordinate plane with vertices A(3, -2), B(6, -2), C(6, 5), and D(3, 5) is 21 unit².
What is the area of a rectangle?Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,
[tex]A=a\times b[/tex]
Here, (a)is the length of the rectangle and (b) is the width of the rectangle.
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(3, -2), B(6, -2), C(6, 5), and D(3, 5).
The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]
The distance from A to B is the length of the rectangle. The distance of line segment AB is,
[tex]W= \sqrt{(3-6)^2 + (-2-(-2))^2}\\W = \sqrt{(-3)^2 + (0)^2}\\W=\sqrt{9}\\W=3\rm\; units[/tex]
The distance from B to C is the width of the rectangle. The distance of line segment BC is,
[tex]L = \sqrt{(6-6)^2 + (-2-5)^2}\\L = \sqrt{(0)^2 + (-7)^2}\\L=\sqrt{49}\\L=7\rm\; units[/tex]
Thus, the area of rectangle ABCD is,
[tex]A=7\times3\\A=21\rm\; unit^2[/tex]
Hence, the area of rectangle ABCD which is graphed in the coordinate plane with vertices A(3, -2), B(6, -2), C(6, 5), and D(3, 5) is 21 unit².
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c/9 - 8 = 17
Solve the equation and show all work please show steps!!
Jason ate one third of a pizza for dinner, and his brother ate one sixth of the same pizza.What portion of the pizza was left over?
Jason and his brother ate a total of one half of the pizza when their portions, one third and one sixth respectively, are combined. Therefore, one half of the pizza was left over.
To calculate this, we add the fractions of the pizza that were consumed together:
Jason's portion: 1/3
Brother's portion: 1/6
We find a common denominator, which is 6 in this case, and sum the fractions:
(2/6) + (1/6) = 3/6
After simplifying 3/6, which is one half, we subtract this from the whole pizza to find the portion that is left:
1 - 1/2 = 1/2
Therefore, one half of the pizza was left over after Jason and his brother had their portions.
Solve the quadratic equation by completing the square.
x^2 - 10x + 18 = 0
a 56 inch board is to be cut into three pieces so that the second piece is three times as long as the first piece and a third piece is four times as long as the first piece if x represents the length of the first please find the length of all three pieces
In the figure, lines a, b, and c are parallel and m∠4=48° .
Drag and drop the correct angle measure for each angle.
The values of each angle are:
∠1 = 48
∠2 = 132
∠3 = 132
∠5 = 48
We have,
∠4 = 48
∠4 and ∠5 are corresponding angles.
so,
∠5 = 48
Now,
∠3 and ∠4 make a straight angle.
So,
∠3 + ∠4 = 180
∠3 = 180 - 48
∠3 = 132
Now,
∠2 and ∠3 are alternate angles.
So,
∠2 = ∠3 = 132
Now,
∠1 and ∠2 make a straight angle.
So,
∠1 + ∠2 = 180
∠1 = 180 - 132
∠1 = 48
Thus,
∠1 = 48
∠2 = 132
∠3 = 132
∠5 = 48
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−2x+15y=−24
2x+9y=24
what do y and x equal?
If the ratio of men to women is 3:2 and there are 120 men, how many women would there be?
Which expression represents the prime factorization of 84?
15 POINT QUESTION! Multiply and simplify. (4x−2)(3x^2−2x+1)
6x+8=7x+13
one solution
infinite solution
no solution
which one?
The simplification 6x + 8 = 7x + 13 is one solution. The correct option is A.
What is one solution?There is just one correct answer to some equations. There is only one value for the variable in these equations that causes the equation to be true.
If you solve an equation and the result is a variable equal to a number, the equation has just one solution. There is only ever one real number solution to a quadratic problem. A system is deemed consistent if it has at least one solution.
A consistent system is independent if it only has one solution. A consistent system is dependent if there are an endless number of possible solutions. Both equations show the same line on a graph when you plot the equations.
Therefore, the correct option is A, one solution.
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A scale on a hiking map shows that 1.5 inches =4 miles. What number of actual miles are represented by 6 inches on the map?
what is the answer to Divide 2800 by 10
Cougar Park is shaped like a parallelogram and has an area of 1/10 square mile. It’s base is 3/8 mile. What is its height?
Which relationship describes angles 1 and 2?
Select each correct answer.
adjacent angles
vertical angles
complementary angles
supplementary angles
If 4/5 X a= 2/5, what is a?
the gift shop at a science museum sells lollipops that are made to look like the plants. Each lollipop is shaped like a sphere and has a radius of 12 mm
What is the volume of each lollipop?
The answer is 2304pi
The volume of the lollipop having the radius of 12 mm is 7241.14 [tex]mm^{3}[/tex].
What is volume?Volume is the capacity of a container to hold something in its capacity. Like a drum can hold water.
How to calculate the volume of lollipop?The radius is given as 12 mm. The lollipop is having shape of sphere. The formula of volume of sphere is 4/3π[tex]r^{3}[/tex].
Volume =4/3π[tex]r^{3}[/tex].
Volume of lollipop is 4/3π[tex]12^{3}[/tex]
=4/3*22/7*576
=(88*1728)/21
=152064/21
=7241.14[tex]mm^{3}[/tex].
Hence the volume of lollipop having radius of 12 mm is 7241.14[tex]mm^{3}[/tex].
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The ratio of the corresponding linear measures of two similar cans of fruit is 4 to 7. The smaller can has a surface area of 220 square centimeters. Find the surface area of the larger can
The two triangles below are similar. Which pair are corresponding sides?
LN and MN
MN and QR
LM and QR
LM and PQ
Answer:
2) MN correspond to QR .
Step-by-step explanation:
Given : The two triangles below are similar.
To find : Which pair are corresponding sides
Solution : We have given that Triangle LMN is similar to triangle PQR.
Then Sides
MN correspond to QR .
Therefore, 2) MN correspond to QR .
Lee wants to cut this piece of canvas into two rectangles that are 3x2 and 3x5. He wants the sum of the two small rectangles to be the same as the area of the large rectangle. Can he do this? explain
Help ASAP!!
[tex]3 - 1 \times \frac{3}{5} = [/tex]
A computer randomly selects a number from the given set.
{18, 47, 51, 60, 63, 65}
What is the probability that a number greater than 50 is selected?
Enter your answer as a fraction, in simplest form, in the box.
P(> 50) =
What is the square of 2/3 I really need help I’m so confused
Solve for y 3/11 = 6/y
Answer:
Khan academy says 22 is the correct answer
Step-by-step explanation:
It just does
HELP MEEEEEEEEEEEEEEEEEEE @Louli Just give the answer!!
The line plot shows the number of hours two groups of teens spent studying last week.
How does the data compare for the two groups of teens?
A)The range for the hours spent studying last week for the 13- to 15-year olds is the same as the range for the hours spent studying last week for the 16- to 18-year olds.
B)The median value for the hours spent studying last week for the 13- to 15-year olds is greater than the median value for the hours spent studying last week for the 16- to 18-year olds.
C)The mode for the hours spent studying last week for the 13- to 15-year olds is less than the mode for the hours spent studying last week for the 16- to 18-year olds.
D)The 13- to 15-year olds spent an average of 14 hours studying last week.
What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 5.5? A rectangle is shown. The length of the rectangle is labeled as 8 cm, and the width is labeled as 6 cm. Perimeter = 50 cm, area = 155.25 cm2 Perimeter = 50 cm, area = 1,452 cm2 Perimeter = 154 cm, area = 155.25 cm2 Perimeter = 154 cm, area = 1,452 cm2
what is 3.87 rounded to the nearest tenth
Two cars are traveling along the same highway. The distance, d, in miles, from San Francisco after h hours spent driving is described for each car below.
Car A:
d = 60h + 20
Car B: h d
0 60
2 160
4 260
Select three statements that are true.
A.Car A is traveling at the same rate, in miles per hour, as Car B.
B.Car A is traveling at a faster rate, in miles per hour, than Car B.
C. Car A is traveling at a slower rate, in miles per hour, than Car B.
D.Car A is originally closer to San Francisco than Car B.
E .Car A is originally at the same distance from San Francisco as Car B.
F.Car A and Car B are at the same distance away from San Francisco after 4 hours.
Car A is traveling faster at the checkpoint because it must go past the speed of car B to reach the same distance.
Explanation:Car A is traveling faster at the checkpoint because it must go past the speed of car B to reach the same distance.
To determine which car is traveling faster at the checkpoint, we need to compare their velocities. Car A has a positive, constant acceleration, which means its velocity is increasing. Car B, on the other hand, travels at a constant speed, which means its velocity remains the same.
Therefore, Car A is traveling faster at the checkpoint than Car B.
How many unit cubes are in the rectangular prism?
A)
12 cm3
Eliminate
B)
15 cm3
C)
20 cm3
D)
60 cm3 What is the BEST estimate for the capacity of a bath tub?
A)
50 fluid ounces
B)
50 gallons
C)
50 cups
D)
50 pints
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