What is the area of rectangle ABCD?
coordinate plane with rectangle ABCD at A 0 comma 1, B 0 comma 4, C 4 comma 4, and D 4 comma 1
12 square units
14 square units
16 square units
18 square units
Answers
The area of a 2D form is the amount of space within its perimeter. The area of the rectangle is 12 units². Thus, the correct option is A.
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
As per the given information, the graph of the rectangle can be made as shown below. It can be observed from the graph that the length of the rectangle and width of the rectangle are 4 units and 3 units, respectively. Therefore, the area of the rectangle is,
Area = 4 units × 3 units = 12 units²
Hence, the area of the rectangle is 12 units². Thus, the correct option is A.
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Related Questions
Convert the angle from radians to degrees: [tex]\frac{5}{6}\pi[/tex] with working
Answers
{x + 8y = -16
{x-3y = -5
Answers
Answer: y= -1 and x=-8
x+8y=-16
x=-8y-16
so x-3y=-5
-8-16-3y=-5
-11y-16=-5
-11y=-5+16
-11y=11
y=-1
x-3y=-5
x+3=-5
x=-8
Step-by-Step Solution:
=> x + 8y = -16 (Eq. 1)
=> x - 3y = -5 (Eq. 2)
Subtracting Eq. 2 from 1, we get :-
8y + 3y = -16 + 5
11y = -11
y = -11/11
=> y = -1
Therefore, y = -1
Substitute value of ‘y’ in Eq. 2 :-
x - 3y = -5
x - 3(-1) = -5
x - -3 = -5
x + 3 = -5
x = -5 - 3
x = -5 + -3
=> x = -8
Therefore, x = -8
Hence, x = -8 and y = -1 (-8, -1)
Can you solve these questions and explain them for me? Thank you
Answers
Step-by-step explanation:
When folding up the box, x will be the height
(30-2x) will be the length
(25-2x) will be the width so
[tex]v(x) = x(30 - 2x)(25 - 2x)[/tex]
b. First, we can't have negative length or zero length so x must be Positve.
Set the other binomial equal to 0.
[tex]30 - 2x > 0[/tex]
[tex] - 2x > - 30[/tex]
[tex]x < 15[/tex]
[tex]25 - 2x > 0[/tex]
[tex] - 2x > - 25[/tex]
[tex]x < 12.5[/tex]
So our domain is
(0,12.5), meaning our value of x must be greater than 0 and less than 12.5
Find the midpoint of the segment with the following endpoints. (10, 6) and (4, 9)
Answers
Answer:
(7,7.5)
Step-by-step explanation:
midpoint formula:
(10+4)/2=7
(6+9)/2=7.5
(7,7.5)
Homework Progress 46 / 90 Marks Work out the length of AB. Give your answer to 3 significant figures. A (-1, 6) B (5, 3) X + Homework Progress 46 / 90 Marks Work out the length of AB . Give your answer to 3 significant figures . A ( -1 , 6 ) B ( 5 , 3 ) X +
Answers
Answer: 6.71
Step-by-step explanation:
[tex]AB=\sqrt{(-1-5)^{2}+(6-3)^{2}} \approx \boxed{6.71}[/tex]
Solve the inequality and express your answer in interval notation.
Answers
The correct answer is option B which is (-4-√11) and (-4+√11).
What is inequality?
Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
The inequality is given as x² + 8x + 5 < 0 for we will draw a graph of the inequality and find the range of x which ranges from ( -7.31,- 0.68) So these points in the options will be equal to (-4-√11) and (-4+√11).
(-4 - √11) = -4 -3.31 =-7.31
(-4 + √11) = -4 +3.31 = -0.68
Therefore the correct answer is option B which is (-4-√11) and (-4+√11).
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Fill in the table with the appropriate value to describe the amount of hot dogs eaten at a hot dog eating contest.
Which value should be placed in the empty space in the table?
A. 1/6
B. 1/4
C. 1/12
D. 1/8
Answers
20 hot dogs was eaten by the 10 people who attended the hot dog eating contest.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let us assume that there were 10 people at the hot dog eating contest. If each person eats 2 hot dog, hence:
Number of hot dogs eaten = 2 hot dog per person * 10 people = 20 hot dogs.
20 hot dogs was eaten by the 10 people who attended the hot dog eating contest.
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what is the value of k such that 5x-2y=9 and 6x+ky=4 are perpendicular?
Answers
15
5x-2y=9......(1)
6x+ky=4......(2)
slope of eqn i= -5/-2
=5/2
slope of eqn ii = -6/k
since the line are perpendicular
5/2 * -6/k = -1
-30= -2k
k=15
Use the accompanying table to answer the questions regarding money ratios.
(a) What is the capital a 40-year-old should have with an income of $32,000?
(b) How much should a 35-year-old be saving for retirement with an income of $86,000?
(c) How much in education debt should a 30-year-old have with an income of $59,000?
The 40-year-old should have $___in capital.
(Simplify your answer)
(b) The 35-year-old should be saving $ for retirement.
(Simplify your answer)
(c) The 30-year-old should have $___ in education debt.
(Simplify your answer)
.
Answers
The 40-year-old should have $76800 in capital. The 35-year-old should be saving $$10,320 for retirement.
How to solve for the amountsThe capital that a 40 year old has to have with an income of 32000 is
capital income at age 40 * income
= 2.4 * 32000
Capital = $76800
b. At 35 the savings income has to be
percentage of savings income * income
= 12% * $86000
= $10,320
c. There is no specified value for education earnings.
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On a coordinate plane, a parabola opens up. It goes through (negative 8, negative 2), has a vertex at (negative 5, negative 6.5), goes through (negative 2, negative 2), and has a y-intercept at (0, 6).
Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing?
Answers
The graph is increasing for x > -5
batman wants to wrap a perestn in a box for robin. the top and the bottom of the box is 10 cm. by 5 cm. the sides are both 3 cm by 2 cm. and the front and back are 8 cm. by 2 cm. hhow muvh wrapping papper will atman need to wrap the present?
Answers
Answer:
15
Step-by-step explanation:
m<1 = (3x + 4)º
m<2 = (3x + 4)º
m<3 = 29°
m<4 = 34°
m<5 = 25°
Answers
Answer: x = 44
Step-by-step explanation:
The exterior angles of a polygon add to 360 degrees so:
(3x+4)+(3x+4)+29+34+25=360 [forming equation]6x+96=360 [combine like terms]6x=264 [subtract 96 from both sides]x = 44 [divide both sides by 6]For which graph is the parent function y=x^2
On a coordinate plane, a parabola opens up and has a vertex at (negative 1, negative 2).
On a coordinate plane, a straight line has a positive slope.
On a coordinate plane, a cubic root function is shown.
On a coordinate plane, an absolute value function is shown.
Answers
y = x² is the parent function of a parabola opens up and has a vertex at (negative 1, negative 2)
What is the standard equation of a parabola ?The standard equation of a parabola is given by
y =a(x-h)² +k
Vertex at h , k
It is given that It has to be chosen from the options that whose parent function is
y = x²
As the plot of the first option is done , which is shown in the figure ,
The parabola is given by
y = (x +1)² +2
and the parent function is y = x²
Therefore the Option 1 is the answer.
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12 identically sized pieces of timber are
x
cm long when put together. How long is each individual piece?
Answers
Answer:
[tex]\frac{x}{12}[/tex] (x/12)
Step-by-step explanation:
if 12 pieces combine to make x, [we know they are identical], each piece must be 1/12 of x [1/12·x = x/12]
(think of it like this: "x" length must be divided amongst 12 pieces, so, we divide x/ 12)
Answer:
Timber=x/12
Step-by-step explanation:
12 pieces long is x, if the length of each one is same, so the length of each one is x/12.
Peter uses the equation y = StartFraction 13 over 4 EndFraction x to model the number of miles that he has walked in x hours. Which statement is true about the proportional relationship that is modeled by Peter’s equation?
Answers
The statement C is true about the proportional relationship that is modeled by Peter’s equation. Peter walks at a rate of 13/4 miles per hour.
What is the equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
The complete question is
"Peter uses the equation Y=13/4x to model the number of miles that he has walked in x hours. Which statement is true about the proportional relationship that is modeled by the peat there's the equation?
A: Peter walks a rate of 4/13 miles per hour.
B: Peter walks at a rate of 4 miles per hour.
C: Peter walks at a rate of 13/4 miles per hour.
D: Peter walks at a rate of 13 miles per hour."
Given equation;
Y=13/4x
Where,
y represents the number of miles
x is the time period
The equation shows Peter walks at a rate of 13/4 miles per hour.
Hence statement C is true about the proportional relationship that is modeled by Peter’s equation.
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Use the figure below to find the answer.
X
Find y.
y=
45
III
7
T
234567890
Answers
Answer: [tex]\frac{7\sqrt{2}}{2}[/tex]
Step-by-step explanation:
[tex]\sin 45^{\circ}=\frac{7}{y}\\\\\frac{1}{\sqrt{2}}=\frac{7}{y}\\\\y=\frac{7}{\sqrt{2}}=\boxed{\frac{7\sqrt{2}}{2}}[/tex]
Complete the steps 4/9 divided by 1/2
Answers
Answer: 0.88 (the 8 recurs)
Step-by-step explanation:
[tex]\frac{4}{9}[/tex]÷[tex]\frac{1}{2}[/tex]
[tex]\frac{4}{9}[/tex]×[tex]\frac{2}{1}[/tex] (Then the the fraction should reciprocal so the values should shift to the opposite side were 2 goes up and 1 goes down and the sign turns to the multiplication sign)
then u should multiply the two fractions which gives 8/9
next you should divide 8 by 9 which gives 0.88(the number eight is recurring which means that the number 8 keeps repeating no matter how many times you try to divide)
Question 29 of 40
Find f(-2) for f(x) = 5.3*.
Answers
Answer:
A. [tex]\frac{5}{9}[/tex]
Step-by-step explanation:
To find f(-2) in f(x)=5*3^x, plug in -2 into all the x values.
f(-2)=5*3^-2, you can use calculator to calculate 3^-2 which equals 0.1, forever 1's.
f(-2)=5*0.1=0.5 Forever 5's.
f(-2)=0.5 or [tex]\frac{5}{9}[/tex]
Hope this helps!
If not, I am sorry.
What is the difference between normal definition of set and contors definition of set
Answers
Step-by-step explanation:
The collection of well defined object is called set
value of in the equation a=2+3+10
Answers
[tex]\huge{\boxed{\mathfrak{ANSWER}}} [/tex]
[tex]a=2+3+10[/tex]
[tex]a = 15 [/tex]
[tex]\huge \pink {\overline{ \quad \quad \quad \quad \quad \quad \quad\quad \quad}}[/tex]
Which step in the construction of copying a line segment ensures that the new line segment has the same length as the original line segment
Answers
Now out of these points, steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.
The steps to copy a line segment are given below:
1. Let's start with a line segment AB that we have to copy.
2. Now mark a point C. Below or above AB, which will be one endpoint of the new line segment.
3. Now, put the compass tip on point A of the line segment AB.
4. Spread the compass up to point B, so that the compass width is equal to the length of AB.
5. Without changing the compass width, now place the compass tip on point C that you made in step 2.
6. Now, draw an arc roughly without changing the compass settings. Mark that point D. This will form the new line segment.
7. Draw a line from C to D.
Now out of these points, steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.
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Solve the Proportion.
10/a = 15/24
a=?
Answers
Answer:
a=16
Step-by-step explanation:
10/a=15/24, a≠0
10/a=5/8
80=5a
5a=80
a=16,a≠0
a=16
10/a = 5/8
Because 10 divided by 2 equals 5, we could multiply 8 by 2 to get what our denominator that is missing would be. 8 x 2 = 16, so a = 16. 10/16 = 15/24.
Your final answer: a = 16
A biased dice is rolled 100 times.
The results are shown below in the table.
Result 1 2 3 4 5 6
Frequency 12 29 26 9 14 10
Estimate the probability of rolling a prime number?
Answers
Answer:
0.69 or 69% :)
Step-by-step explanation:
Prime numbers: 2, 3, 5
Now lets add :)
29 + 26 + 14
29 + 40
69
Now we add all numbers together and divide by our first number 69 :)
12 + 29 + 26 + 9 + 14 + 10
41 + 26 + 9 + 14 + 10
67 + 9 + 14 + 10
76 + 14 + 10
90 + 10
100
69/100 = 0.69 = 69% :D
Have an amazing day!!
Please rate and mark brainliest!!
Directions: Find the inverse of each number.
Additive
-3 =
14 =
-28 =
-1/5 =
Multiplicative
2/3 =
6/18 =
5 =
11 =
Answers
Answer:
Step-by-step explanation:
Additive inverse:
-3=3
14=-14
-28=28
-1/5=1/5
Multiplicative Inverse:
2/3=3/2
6/18=18/6
5=1/5
11=1/11
Answer:
inverse of -3 is +3
inverse of 14 is -14
inverse of -28 is 28
inverse of -1/5 is 1/5
inverse of 2/3 is 3/2
inverse of 6/18 is 18/6
inverse of 5 is 1/5
inverse of 11 is 1/11
Step-by-step explanation:
Because inverse mean switch it. or opposite of digit
if plus digit then negative digit .
find the average rate of change
Answers
Answer:
3rd option
Step-by-step explanation:
the average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
here [ a, b ] = [ 1, 4 ] , then
f(b) = f(4) = 3³ + 2 = 27 + 2 = 29
f(a) = f(1) = [tex]3^{0}[/tex] + 2 = 1 + 2 = 3 , then
average rate of change = [tex]\frac{29-3}{4-1}[/tex] = [tex]\frac{26}{3}[/tex]
HEPPPPPPPPPP PLEASEEEEEEEE
Answers
Answer:
x-int=(2,0)
y-int=(0,4)
Step-by-step explanation:
Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards. Pete walks directly from point A to point C, without passing through point B. What is the direct distance from A to C?
How far would Pete walk if he went from A to B to C? yards
The direct distance from A to C is more than yards.
The inequality w < represents the distance, w, that Pete might save by taking the direct path.
Answers
The total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have:
Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards.
Total distance if Pete walks from A to B to C:
= 15 + 25 = 40 yards
As we know in the triangle the sum of the two sides is greater than the third side.
25 + 15 > AC
The direct distance from A to C is more than 10(25-15) yards.
The inequality w < 30 represents the distance, w, that Pete might save by taking the direct path.
Thus, the total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30
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Answer:
40 yards, 10 yards, and 30 yards.
Was correct for me on edge 2023
area = in
help me please ty:)
Answers
Answer:
36 inches but im really not sure though because you got to times them together and then divide by 2
evaluate the following expression when x=-4 and y=4
x³-x /4y[tex]\frac{x}{y}[/tex]
Answers
Answer: - 60
Step-by-step explanation:
[tex]\frac{(-4)^3 - (-4)}{4(4)^-4/4} \\\\= -60[/tex]
What is 5 ones , 38 tens , 27 hundreds , and 5 thousands? Write the number in word form and expanded form
Answers
Answer:
Eight thousand eighty five, 8000 + 80 + 5
Explanation:
Five ones, thirty-eight tens, twenty-seven hundreds, and five thousands equal to:
5 + 380 + 2700 + 5000
This is 8085 when added or eight thousand eighty-five in word form. This is also 8000 + 80 + 5 in expanded form.
