A parallelogram has an area of 48 m. If the base is 12 m long, what is the height?

Mathematics College

A parallelogram has an area of 48 m². If the base is 12 m long, what is the height?

Answers

Answer 1

The area of a parallelogram is its base times the height. So the height is 48/12 which is 4.

Answer 2

48/12=4 so the height is 4

Related Questions

Find a general solution to the differential equation 2y''-5y'-3y=0

Answers

We want a general solution for the ODE
2y'' - 5y' - 3y = 0

The characteristic equation is
2m² - 5m - 3 = 0
(2m + 1)(m - 3) = 0
which yields
m = -1/2, 3

Answer:
The general solution is
[tex]y(x)=c_{1}e^{-x/2}+c_{2} e^{3x}[/tex]
where c₁ and c₂ are constants.

If Ying Zyiyu covers the first 200 miles of a trip going 50mph. and the last hundred going 40mph, what was his average speed for the entire trip?

Answers

so, the first 200 miles were done at 50mph, how long did it take? well, 200/50, or 4hours

the last 100 miles were done at 40mph, how long did that take? well, 100/40, or 2 hours and a half.

so.. Ying covered 300 miles in 4+2.5 hours or 300/6.5 is his average speed.

Answer:

46.15

Step-by-step explanation:

I do RSM :)

PLEASE HELP ME!!! NOT GOOD AT MATH.

Answers

Part A)
L = length = 8 mm
W = width = 6 mm
H = height = 4 mm
TSA = 2*(L*W + W*H + L*H)
TSA = 2*(8*6 + 6*4 + 8*4)
TSA = 208
The units are "square millimeters" often written as sq mm or "mm^2"

Answer: 208
--------------------------------
Part B)
From part A, the total surface area (TSA) was 208 square mm. If it costs $3 per square mm, then that means the total cost C is
C = (cost per sq mm)*(total surface area)
C = 3*208
C = 624
The units for the cost are in dollars. This result is assuming that there isn't any waste.

Answer: 624
--------------------------------
Part C)
Volume = Length*Width*Height
V = L*W*H
V = 8*6*4
V = 192
The units are in cubic millimeters. The notation is sometimes "cubic mm" or "mm^3"

Answer: 192

1. 8 7/16 - (-2 4/9)

Answers

8 7/16 - (-2 4/9) =

8 7/16 + 2 4/9 =

8 7/16 = 135/16 = 1215/144

2 4/9 = 22/9 = 352/144

1215/144 + 352/144 = 1567/144 =10 127/144

Find the standard form of the equation of the parabola with a focus at (-4, 0) and a directrix at x = 4. (2 points)

Answers

To find the focus you have to find the center between the to, do you remember the formula's?

check the picture below.

since the focus point is at -4, 0 and the directrix is a vertical line at x = 4, is a horizontal parabola, and it opens to the left-hand-side.

now, notice the distance "p", is just 4 units, however, the parabola is opening to the left-side, thus "p" is negative, then is -4, the vertex is half-way between the focus point and the directrix.

[tex]\bf \textit{parabola vertex form with focus point distance}\\\\ \begin{array}{llll} \boxed{(y-{{ k}})^2=4{{ p}}(x-{{ h}})} \\\\ (x-{{ h}})^2=4{{ p}}(y-{{ k}}) \\ \end{array} \qquad \begin{array}{llll} vertex\ ({{ h}},{{ k}})\\\\ {{ p}}=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix} \end{array}\\\\ -------------------------------\\\\ \begin{cases} h=0\\ k=0\\ p=-4 \end{cases}\implies (y-0)^2=4(-4)(x-0)\implies y^2=-16x \\\\\\ -\cfrac{1}{16}y^2=x[/tex]

What is the future value of $20 a week for 10 years at 6 percent interest? assume the first payment occurs at the end of this week?

Answers

$20/wk x 52wk/yr x 10yr
52 wk x 10yr=520 wks
520x20=10,400x 0.06% interest=624
10,400+624=
$11,024

Find the x and y intercepts of 10x-15y=30

Answers

The x intercept is a point where the graph of the function, intercepts the x-axis.

So the coordinate of that point is (x, 0) , that is, y must be 0 since the point is on the x-axis.

letting y=0, we find:

10x-15y=30

10x=30

x=3

With the same logic, letting x=0, we find the y-intercept:

10x-15y=30

-15y=30

y=-2

Answer:

x- intercept : 3 [point (3, 0)]
y- intercept : -2 [point (0, -2)]

What is the quotient (3x4 – 4x2 + 8x – 1) ÷ (x – 2)?

Answers

Hopefully I am correct but it is 12x÷x-2

Answer:

the quotient of this problem is 3x^3+6x^+8x+24+47/x-2

Solve for the indicated variable

D = 2zv for v

Answers

2zv=D divide both sides by 2z

v=D/(2z)

First option is correct i.e. [tex]v = \frac{D}{2z}[/tex] .

What is variable in an equation?

Variable is a symbol( usually a letter) standing in for an unknown numerical value in an equation.

How to solve an equation for the variable?

To solve or isolate a variable means to get the variable on one side of the equation by itself.

According to the given question

we have an equation

D = 2zv and to solve for variable v

For solving the above equation for the variable v, make the variable v on one side of the equation by itself.

⇒ [tex]\frac{D}{2z} = \frac{2zv}{2z}[/tex] ( dividing both the sides by 2z)

⇒ [tex]v = \frac{D}{2z}[/tex]

Hence, option first is correct.

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A bridge hand is made up of 13 cards from a deck of 52. find the probability that a hand chosen at random contains at least 3 kings kings.

Answers

1.
In total there are C(52, 13) ways that we can pick a hand, that is [tex] \frac{52!}{13!39!} [/tex]

2.
P(a hand contains at least 3 kings)
=P(a hand contains exactly 3 kings)+P(a hand contains 4 kings)

3.
first let's find P(a hand contains exactly 3 kings):

P(a hand contains exactly 3 kings)
=n(a hand contains exactly 3 kings)/C(52, 13)

n(a hand contains exactly 3 kings)=C(4, 3)*C(48, 10)

where C(4,3) is the total number of ways we can pick 3 out of 4 kings,

C(48, 10) is the number of picking 10 letters to complete a hand, out of the 52-4=48 non-king cards.

so P(a hand contains exactly 3 kings)=[C(4, 3)*C(48, 10)]/C(52, 13)

4. with the same reasoning as in step 3:

P(a hand contains 4 kings)=n(a hand contains 4 kings)/C(52, 13)

= [C(4, 4)*C(48, 9]/C(52, 13)

5.

P(a hand contains at least 3 kings)
=P(a hand contains exactly 3 kings)+P(a hand contains 4 kings)

=[C(4, 3)*C(48, 10)]/C(52, 13)+ [C(4, 4)*C(48, 9)]/C(52, 13)

=[tex] \frac{C(4, 3)*C(48, 10)+C(4, 4)*C(48, 9)}{C(52, 13)} [/tex]

=[tex] \frac{4* \frac{48!}{10!38!} + \frac{48!}{9!39!}}{ \frac{52!}{13!39!} } [/tex]

simplify by 38! in the denominators and 48! in the numerators :

[tex] \frac{4* \frac{1}{10!} + \frac{1}{9!39}}{ \frac{52*51*50*49}{13!39} } [/tex]

now simplify by 9! in all denominators:

[tex] \frac{ \frac{4}{10}+ \frac{1}{39} }{ \frac{52*51*50*49}{13*12*11*10*39}} [/tex]

[tex] \frac{ 0.426 }{ 9.7} =0.044[/tex]

Final answer:

The probability that a bridge hand chosen at random contains at least 3 kings is 0.0000244.

Explanation:

To find the probability that a bridge hand chosen at random contains at least 3 kings, we need to first determine the total number of possible bridge hands and then calculate the number of favorable outcomes.

The total number of bridge hands is calculated using the combination formula: C(52, 13) = 52! / (13! * (52-13)!) = 635,013,559,600.

To calculate the number of favorable outcomes, we count the number of ways we can select 3 kings and then fill the remaining 10 positions with the remaining 39 cards. The number of ways to select 3 kings is C(4, 3) = 4 and the number of ways to fill the remaining 10 positions is C(48, 10) = 17,259,390.

Therefore, the probability is given by: P(At least 3 kings) = favorable outcomes / total outcomes = (4 * 17,259,390) / 635,013,559,600 = 0.0000244.

Elaine's jewelry box has a volume of 36 cubic centimeters. Which of the following could be the dimensions of Elaine's jewelry box? Choose all answers that apply: A 12 cm long, 12 cm wide, 12 cm high B. 4cm long, 4 cm wide, 2 cm high C 3 cm long, 4 cm wide, 3 cm high

Answers

A box's volume is equal to length times width times height.
A. 12*12*12=1728 cm^3
B. 4*4*2=32 cm^3
C. 3*4*3=36 cm^3
Only C is correct

Answer:

Option C is the correct answer.

Step-by-step explanation:

Volume of box = Length x width x height.

Volume of box = 36 cubic centimetres.

Option A:

Length = 12 cm

Width = 12 cm

Height = 12 cm

Volume = 12 x 12 x 12 = 1728 cubic centimetres.

Option A is wrong.

Option B:

Length = 4 cm

Width = 4 cm

Height = 2 cm

Volume = 4 x 4 x 2 = 32 cubic centimetres.

Option B is wrong.

Option C:

Length = 3 cm

Width = 4 cm

Height = 3 cm

Volume = 3 x 4 x 3 = 36 cubic centimetres.

Option C is correct.

Option C is the correct answer.

a hallway measuring 90 feet x 7 feet requires 1/2 a fluid ounce of cleaning solutions per square foot. how much cleaning solution is required

Answers

315 fluid ounces

90x7 = 630
630 x 1/2 = 315

How to solve this problem?

Answers

11)

x*y = -5*2 = -10, absolute value is 10

y*z = 2 * -2 = -4, absolute value is 4

10+4 = 14

rewrite y=x^2-6x+2 then state whether the vertex is maximum or minimum and give its coordinates

Answers

To solve the expression we re-write the equation in vertex form;
y=x^2-6x+2
y=(x^2-6x+9)-9+2
y=(x-3)^2-7
the vertex is at the point (3,-7), hence the minimum or maximum point is at (3,-7)

hat are the dimensions of the lightest open-top right circular cylindrical can that will hold a volume of 1728 cm^3?

Answers

The product of height and square of the radius of the open-top right circular cylindrical should be equal or more than 550 cm³ in order to hold a volume of 1728 cm³.

What is volume?

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

The volume of the cylinder is = πr²h
In order to hold the volume of 1728 cm³,
πr²h ≥ 1728
r²h ≥ 550

Thus, the product of height and square of the radius of the open-top right circular cylindrical should be equal to or more than 550 cm³ in order to hold a volume of 1728 cm³.

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Write the equation of a circle with a center at (–7, –7) and a radius of 7

Answers

Final answer:

The equation of a circle with a center at (-7, -7) and a radius of 7 is [tex](x + 7)^2 + (y + 7)^2 = 49.[/tex]

Explanation:

The equation of a circle is typically expressed in the form (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius. For a circle with a center at (–7, –7) and a radius of 7, the equation would be (x + 7)² + (y + 7)² = 7². Here, we squared the radius to get 49, which gives us the final equation (x + 7)² + (y + 7)² = 49.

What is the length of time a loan will last if it has a rate of 0.02, a principal of $500, and it accrued $60 of interest if Interest = Principal * Rate * Time. How would you reduce the time of the loan?

Answers

Interest = Principal * Rate * Time
I=prt
Solve for t
T=I÷pr
T=60÷(500×0.02)
T=6 years

You can reduce the time of the loan by increasing the rate of interest
For example
T=60÷(500×0.05)
T=2.4 years

Answer and Explanation

T=I÷pr

T=60÷(500×0.02)

T=6 years <-- Answer

A rectangle or shaped swimming pool has a perimeter of 104 feet and is 4 feet longer than 3 times its width. Find its dimensions.

Answers

[tex]y[/tex]
______
| |
| |
| | [tex]x[/tex]
| |
| |
|_____ |

(i'm using meters instead of feet because I'm more used to it)

The perimeter of the rectangle is [tex]2x+2y[/tex]
The perimeter is 104m
∴[tex]2y+2x=104[/tex]
------------------------------------------------------------------------
It's 4 feet longer than 3 times its width.
[tex]3y=x+4[/tex]
[tex]3y-x=4[/tex]
[tex]6y-2x=8[/tex]

[tex]2y+2x=104[/tex]
[tex]6y-2x=8[/tex]
-------------------------
[tex]8y=112[/tex]

∴[tex]y=14[/tex]m

[tex]2y+2x=104 [/tex]
[tex]2(14)+2x=104[/tex]
[tex]28 +2x=104 [/tex]
[tex]2x=76[/tex]
∴[tex]x=38[/tex]m

Evaluate the given integral by making an appropriate change of variables, where r is the rectangle enclosed by the lines x - y = 0, x - y = 7, x + y = 0, and x + y = 6.

Answers

[tex]\begin{cases}u=x-y\\v=x+y\end{cases}[/tex]

[tex]\mathbf J=\dfrac{\partial(u,v)}{\partial(x,y)}=\begin{bmatrix}\dfrac{\partial u}{\partial x}&\dfrac{\partial u}{\partial y}\\\\\dfrac{\partial v}{\partial x}&\dfrac{\partial v}{\partial y}\end{bmatrix}=\begin{bmatrix}1&-1\\1&1\end{bmatrix}[/tex]
[tex]\implies\det\mathbf J=2[/tex]

The area of the region is then given by

[tex]\displaystyle\iint_R\mathrm dA=\int_{u=0}^{u=7}\int_{v=0}^{v=6}2\,\mathrm dv\,\mathrm du=84[/tex]

the sum of two numbers is 70. the larger number is five less than twice the smaller number . what are the two numbers

Answers

x+y=70
x=2y-5
x=larger number
y=smaller number
now plug in the value of x to only have one variable in the equation...
Way to solve for y:
(2y-5)+y=70
3y-5=70
add 5 on both sides...
3y=75
divide by 3 on both sides
y=25
1st way to solve for x:
now plug in y in the original equation...
x+25=70
subtract 25 on both sides...
x=45
2nd way to solve for x:
plug in y for the second equation...
x=25(2)-5
x=50-5
x=45
answer: the two numbers are 45 and 25.

Final answer:

To find the two numbers, we created a system of equations with the sum being 70 and the larger number as five less than twice the smaller number. Solving the equations, we found that the smaller number is 25 and the larger number is 45.

Explanation:

The question asks us to find two numbers where the sum is 70, and the larger number is five less than twice the smaller number. To solve this, we'll set up a system of equations with two variables, which we'll call x and y. The first equation would be x + y = 70, since their sum is 70. The second equation is derived from the statement that the larger number is five less than twice the smaller number, which can be expressed as y = 2x - 5. Now we substitute the second equation into the first to solve for x. We get x + (2x - 5) = 70. Simplifying, we have 3x - 5 = 70, thus 3x = 75, and therefore x = 25. With the smaller number found, we can determine the larger number using the second equation y = 2(25) - 5, resulting in y = 45. Hence, the two numbers are 25 and 45.

EASY 5 POINTS!!! This box has the same length, width, and height as the 2 basketballs. Which expression gives the volume of the empty space encircling the basketballs inside the box?

Answers

This one is easier to work out by elimination than by actual math:

1. We know it's a difference, therefore we need to subtract the volume of the balls from the volume of the box. B is wrong.

2. The box is 3dimensional so we must have 3 linear measurements multiplied together in it's volume calculation. D is wrong.

3. The sphere volume formula uses radius cubed (not diameter). C is wrong

A is the only one left and must be correct.

To check:
Volume of the box: [tex] V=lwh = 48 \times 24 \times 24 = 48 \times 24^{2}[/tex]

Volume of two balls: [tex] V = 2(\frac{4}{3} \pi r^{3}) = 2(\frac{4}{3} \pi \times 12^{3})[/tex]

Total volume = box - balls: [tex]V_{total}=48 \times 24^{2} - 2(\frac{4}{3} \pi \times 12^{3})[/tex]

This matches A, just as we thought.

the upper left on TTM Trust

A father is 60 years old and his son is half his age. How old was the boy when his father was four times his age?

Answers

If the father is 60, the son is 30 (half the age).

From here, we can tell that father's age= son's age+30. We can now create the system of equations as follows.
f= s+30
f=4s

Because both define f, put the two equations together.
4s=s+30
3s=30
s=10

Final answer: The boy was 10 (and his father was 40).

Where would we find the point (–10,0)? A. Quadrant III B. y-axis C. Quadrant II D. x-axis

Answers

The answer is D. x-axis, because of the layout of (x,y), meaning there would be an x value of -10, but no y value so it would sit on the x-axis

D.) x-axis. Hope this helps (:

Canada has a population that is 1/10 as large as the United States. If Canada's population is about 32 million, about how many people live in the United States? Explain the number of zeros in your answer.

Answers

Answer:

Step-by-step explanation:

Let the American Population = x

1/10 x = 32,000,000 Multiply by sides by 10

x = 320,000,000 Thirty two followed by 7 zeros is the population of America.

Children of age 3-6 years require 25% less sleep per day than infants, who need 16hours. How much slee do the 3-6 year olds need?

Answers

infants need 16 hrs.....children of age 3 - 6 require 25% less...

16 - 0.25(16) = 16 - 4 = 12 hrs <=

16 × 0.25 = 4
16 - 4 = 12
So therefore, 3-6 year old aneed 12 hours of sleep.

Or you could solve it this way:
100 - 0.25 = 0.75
16 × 0.75 = 12

Either of the two ways you would get 12

A rectangular container that has a length of 30 cm a width of 20 cm and her height of 24 cm is filled with water to a depth of 15 cm when an additional 6.5 L of water are poured into the container some water overflows. How many liters of water overflow the container?

Answers

30 x 20 x 24 = 14400 cubic cm

30 x 20 x 15 = 9000 cubic cm

14400-9000 = 5400 cubic cm left

1 cubic cm = 0.001 liters

5400x 0.001 = 5.4 liters

6.5-5.4 = 1.1 liters overflow

1.1 L

Further explanation

Given:

A rectangular container that has:

a length of 30 cm,a width of 20 cm, anda height of 24 cm

It is filled with water to a depth of 15 cm.

When an additional 6.5 L of water are poured into the container, some water overflows.

Question:

How many liters of water overflow the container?

The Process:

Step-1: calculate the volume of rectangular container

[tex]\boxed{ \ V = length \times width \times depth \ }[/tex]

[tex]\boxed{ \ V = 30 \times 20 \times 24 \ }[/tex]

[tex]\boxed{ \ V = 14,400 \ cm^3 \ }[/tex]

The volume of rectangular container is 14,400 cm³, then converted to 14,4 L.

Step-2: calculate the volume of water filled in the container to a depth of 15 cm

[tex]\boxed{ \ V = length \times width \times depth \ }[/tex]

[tex]\boxed{ \ V = 30 \times 20 \times 15 \ }[/tex]

[tex]\boxed{ \ V = 9,000 \ cm^3 \ }[/tex]

The volume of water filled is 9,000³ cm, then converted to 9 L.

Step-3: calculate the volume of water overflow when an additional 6.5 L of water is poured into a container.

The volume of water overflow equals the initial water volume is added to the additional water volume then subtracted by the container volume.

The volume of water overflow = [tex]\boxed{ \ 9 \ L + 6.5 \ L - 14.4 L \ }[/tex]

Thus, the volume of water overflow of the container is 1.1 L.

Notes:

[tex]\boxed{ \ 1 \ cm^3 = 1 \ mL \ }[/tex]

[tex]\boxed{ \ 1,000 \ cm^3 = 1 \ L \ }[/tex]

[tex]\boxed{ \ 1 \ dm^3 = 1 \ L \ }[/tex]

Learn moreWhat is the volume of this rectangular prism? https://brainly.com/question/11613210Find out the area of a trapezoid brainly.com/question/2280236Find out the area of a cube brainly.com/question/12613605#

Keywords: a rectangular container, has a length of 30 cm, a width of 20 cm, height of 24 cm, is filled with water, to a depth of 15 cm, an additional 6.5 L of water, are poured into the container, some water overflows, the formula, volume

The table shows the values of why are different values of X which equation shows the relationship between X and y

X y
0 0
1 7
2 14
3. 21

Answers

[tex]\bf \begin{array}{ccll} x&y\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 0&\stackrel{0\cdot 7}{0}\\\\ 1&\stackrel{1\cdot 7}{7}\\\\ 2&\stackrel{2\cdot 7}{14}\\\\ 3&\stackrel{3\cdot 7}{21} \end{array}\qquad \qquad \implies y=x\cdot 7\implies y=7x[/tex]

Greatest common factor of 8 and 14?

Answers

the greatest common factor (GCF) of 8 and 14 is 2

The Greatest common factors is 2 because it is The common factors of 8 and 14.☺

A mixture of
12%
disinfectant solution is to be made from
10%
and
17%
disinfectant solution. How much of each solution should be used if
28
gallons of the
12%
solution are needed?

Answers

Set up a system of 2 equations.
Gallon equation:
x+y = 28
Solution equation:
10x + 17y = (28)(12)

Solve with substitution:
y = 28-x (From 1st equation)

(Sub into 2nd equation)
10x + 17(28-x) = 336

10x + 476 - 17x = 336

-7x = -140

x = 20

y = 28-20 = 8

Therefore the solution is (20,8)
You need 20 gal of 10% solution mixed with 8 gal of 17% solution to obtain 28 gal of 12% solution.

The amount In a savings account increased from $300 to $309. What was the percent of increase?

Answers

1st Method: Increase formula = (last value- first value)/(first value)

increase = (309-300)/300 = 9/300 = 3/100 = 0.03 or 3%

2nd Method: 309/300 = 103/100 = 1.03 (increase over 1 is 0.03 = 3%)

Final answer:

The amount in the savings account increased by 3%. This was calculated by determining the amount of the increase ($9), dividing by the original amount ($300), and then multiplying by 100 to get the percent increase.

Explanation:

The question is asking to calculate the percent of increase in the amount of money in a savings account that went from $300 to $309. To determine the percent increase, you subtract the original amount ($300) from the new amount ($309) to find the amount of the increase, which is $9. Then, you divide the increase ($9) by the original amount ($300) and multiply by 100 to get the percentage:

Percent Increase = (Increase ÷ Original Amount) × 100%

Percentage Increase = ($9 ÷ $300) × 100% = 0.03 × 100% = 3%

Therefore, the percent of increase is 3%.

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