7
.
Marisela wants to create a trophy in the shape of a rectangular
pyramid with volume 0.1875 cubic foot. Complete the descriptions
by writing in the missing measurements. 7.6.6
Design #1: pyramid height = 1.5 ft; base width = 0.75 ft;

Answers

Answer 1

Answer:

Volume of a rectangular pyramid:

[tex]V=\dfrac13lwh[/tex]

where:

[tex]V[/tex] = volume[tex]l[/tex] = length of base[tex]w[/tex] = width of base[tex]h[/tex] = height

Given:

[tex]V[/tex] = 0.1875 ft³[tex]w[/tex] = 0.75 ft[tex]h[/tex] = 1.5 ft

Substitute given values into the formula and solve for [tex]l[/tex]:

[tex]\implies 0.1875=\dfrac13 \cdot l \cdot 0.75 \cdot 1.5[/tex]

[tex]\implies 0.1875=\dfrac{1.125}{3} l[/tex]

[tex]\implies 0.1875=0.375 l[/tex]

[tex]\implies l=\dfrac{0.1875}{0.375}[/tex]

[tex]\implies l=0.5[/tex]

Therefore, the base length is 0.5 ft


Related Questions

Please help me with Part C of this question!!!

Answers

Answer:

  a. 3/4 inches per minute

  b. -1 1/8 inches per minute

  c. B is fastest; 1 1/8 is more than 3/4

Step-by-step explanation:

A change is a difference. A rate of change is one difference divided by another, usually the change in y-value divided by the change in x-value.

__

a.

The change in elevation is the difference between the elevation at the end of the period (6 inches) and the elevation at the beginning of the period (3 inches). The change in time period is the difference between the end time (8 min) and the beginning time (4 min).

  change in elevation per minute = (6 -3 inches)/(8 -4 min)

  = (3 inches)/(4 min) = 3/4 inches/minute

__

b.

Similarly, ...

  change in elevation per minute = (3 -7 1/2 inches)/(18 -14 min)

  = (-4 1/2 inches)/(4 min) = -1 1/8 inches/minute

__

c.

We know that 3/4 is more than -1 1/8, but when we talk about the "fastest rate of change", we're generally interested in the magnitude--the value without the sign. That means we understand a rate of change of -1 1/8 inches per minute to be "faster" than a rate of change of 3/4 inches per minute.

The rate of change from Part B is fastest. 1 1/8 inches per minute is more than 3/4 inches per minute.

what is 4 1/9 + 8 2/3 as a fraction or as a whole or a mixed number?​

Answers

Answer:

13 7/9

Step-by-step explanation:

You have two mixed numbers right now, so the first step to take would be to add the integers 4 and 8 since those numbers are limited by fractions (1/9 and 2/3 are limited as fractions). This would equal 13, and now you can move on to the fractions 1/9 and 2/3. In order to add those, you will have to find the LCM or the least common multiple, which in this case is 9 since 3 is a multiple of 9 (and 9 is obviously a multiple of 9). Knowing, you would have to convert the 2/3 into something ___/9, which would be 6/9. Adding those two together would result in 7/9. Combine that with the integer 13, and you have 13 7/9. Hope this helps!  

what is the volume of this container 1ft 1ft 2ft

Answers

Answer:

Remember length times width times height when finding volume.

In non-terms of pi, the answer would be [tex]2[/tex] [tex]ft^2[/tex]

Answer:

Volume is 2ft

Step-by-step explanation:

Multiply the length x width once you find the answer for lengthxwidth.

Multiply the answer you got by height

What is the area of this trapezoid

Answers

Answer:

468

Step-by-step explanation:

Area of trapezoid=1/2 *h(l1+l2)

=1/2*18*(15+37)

=9*52

=468

The answer is 468 I think

1.Measurement of segment QR is 2Measurement of segment TS is 3.Measurement if segment QT is
4 The vallue of x is 5 the value of y is​​​

Answers

In a parallelogram, opposite sides are of equal measure.

QR = TS

find x

5(x) - 1 = 2(x) + 55(x) - 2(x) = 5 + 13(x) = 6x = 2

1)

QR:5(x) - 15(2) - 110 - 19

2)

QR = TS = 9

Find value of y:

QT = RSy + 8 = 3(y) - 2y - 3(y) = -2 - 8-2(y) = -10y = 5

3)

QT:

y + 85 + 813

4)

if x = 5

means the diagram is enlarged.

scale factor = 5/2 = 2.5

then y will be:

2.5 * 5 = 12.5

We need x and y

Opposite sides of a parallelogram are equal

QR=TS5x-1=2x+53x=6x=2

And

RS=QT3y-2=y+82y=10y=5

Hence

QR=TS=5x-1=5(2)-1=9RS=QT=y+8=5+8=13

#3

Segment QT is 4

so

y+8=4y=4+8y=12

Another way

x is 5

old x is 2

So

scale factor:-

k=5/2=2.5

Find y

y=5ky=5(2.5)y=12.5

A data set is normally distributed with a mean of 63 and a standard deviation of 10.4.
What percentage of the data is between 45 and 77?
Enter your answer as a number to the nearest whole percentage, like this: 42%

Answers

Answer:

  87%

Step-by-step explanation:

The percentage of normally-distributed data between 45 and 77 in a data set with mean 63 and standard deviation 10.4 can be found by any of a number of calculators, apps, web sites, or spreadsheets.

The percentage is 87%.

i really need help with multiple of these questions if u get them right please help with more (multiple questions )

Answers

Answer:

D. 19.25^2

Step-by-step explanation:

A = 5.5

H = 3.5

A = 19.25^2

can you help me for math? Statistic and Probability ! what is P(2) + P(3)?​

Answers

Answer: 1/3

You can find the complete solution in the given attachment

I hope It helped you

please help me.. no links pls​

Answers

Answer:

The Answer is 108 units.

It's number 2.

are these lines perpendicular? 6x+4y=-2 and y=3/2x-6

Answers

No, because when graphed they do not meet at 90 degree angles

I need to know how the answer

Answers

Answer:

A=1/2(b*h)

A=(3x2*4xy)

A=1/2(12x3y)

A=6x3y

so the answer is option (d)

What is the volume of a right circular cylinder with a base diameter of 18 yd and a height of 3 yd?



Enter your answer in the box. Express your answer using π.

I've seen people answer with 763.4yd^3 or 254pi yd^3 . Please answer if you know 100%. Also please show your work.

Answers

Answer:

[tex]V=763.407[/tex] yd^3

Step-by-step explanation:

Formula for volume of right circular cylinder.

[tex]V=\pi r^{2}*6[/tex]

[tex]r=\frac{d}{2}[/tex]

We are given the diameter (d) and the height (h).

First solve for r.

[tex]r=\frac{18}{2}[/tex]

[tex]r=9[/tex]

Now we have everything we need to find the volume. Plug in r into the volume formula.

[tex]V=\pi *9^{2} *3[/tex]

[tex]V=763.407[/tex] yd^3

Write the equation of the parabola that has the vertex at point (2,-11) and passes through the point (0,5).

Answers

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\stackrel{vertex}{(\stackrel{h}{2}~~,~~\stackrel{k}{-11})}\qquad y=a(x-2)^2-11\qquad \qquad \textit{we also know that} \begin{cases} x=0\\ y=5 \end{cases} \\\\\\ 5=a(0-2)^2-11\implies 16=4a\implies \cfrac{16}{4}=a\implies 4=a \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y=4(x-2)^2-11~\hfill[/tex]

The equation of the parabola that has the vertex at point (2,-11) and passes through the point (0,5) is y = 4 (x - 2)² - 11.

What is Parabola?

A parabola is a two dimensional figure on a plane which is U shaped and any point on the parabola is at an equal distance from a fixed point called focus and a fixed line called directrix.

The general form of a parabola is,

y = a (x - h)² + k

where (h, k) is the vertex.

Given vertex is (2, -11).

Equation is,

y = a(x - 2)² - 11

Also, given that the parabola passes through the point (0, 5).

Substituting,

5 = a (0 - 2)² - 11

⇒ 5 = 4a - 11

⇒ a = 4

So the required equation is, y = 4 (x - 2)² - 11.

Hence the equation of the given parabola is y = 4 (x - 2)² - 11.

Learn more about Parabola here :

https://brainly.com/question/30373667

#SPJ3

parallelogram MTBV ~ parallelogram AQZE
Drag the answers into the boxes to match each part of parallelogram MTBV with the corresponding part
of parallelogram AQZE.
IT

Answers

1 to 4 2 stays 3 to 1 4 to 3

Step-by-step explanation:

The perimeter of a rectangular field is 370 yards. If the length of the field is 98 yards, what is its width?

Answers

Answer:

87

Step-by-step explanation:

Slope:
Y-intercept=
Equation Y=

Answers

Answer:

Slope = -3

Y-intercept = (0,-4)

Equation = -3x-4

Step-by-step explanation:

Slope is [tex]\frac{rise}{run}[/tex] or [tex]\frac{Y2-Y1}{X2-X1}[/tex]. Apply this from the data in the table, for example:

[tex]\frac{5-8}{-3-(-4)} = \frac{rise}{run}\\ \frac{-3}{1} = \frac{rise}{run}\\\\-3= \frac{rise}{run}[/tex]

Y-intercept is located where x=0. If we look at the table, we will find that when x=0, y=-4. If we turn it into a (x,y) point format, we will get (0,4).

The function can be found using the Y-intercept and the slope. Since at x=0, y=-4, we know that the function must have a -4 in it, therefore: [tex]y = x-4[/tex]. Our function decreases by 3 for every positive x and increases by 3 for every negative x, therefore [tex]y = -3x-4[/tex].

Find the length of the midsegment of the trapezoid.

Answers

Answer: 14

Step-by-step explanation:

How many TRIANGLES can be constructed with angles measuring 110°, 50°, and
10°?
In order to prove mastery please explain how you know

Answers

Answer:

You can't cconstruct any triangle

Step-by-step explanation:

110+50+10=170  A triangle always has 180º

Which statement correctly explains the difference between a right cylinder and an elliptic cylinder?
A right cylinder has circular bases while an elliptic cylinder has oval bases.
A right cylinder has rectangular bases while an elliptic cylinder has oval bases.
A right cylinder has triangular bases while an elliptic cylinder has oval bases.
A right cylinder has rectangular bases while an elliptic cylinder has circular bases.

Answers

If the elements of the cylinder are perpendicular to the planes containing the bases, the cylinder is a right cylinder, otherwise it is called an oblique cylinder. If the bases are disks (regions whose boundary is a circle) the cylinder is called a circular cylinder

The length of a rectangular garden is 9 feet longer than its width. If the garden's perimeter is 206 feet, what is the area of the garden in square feet?

Answers

Answer:

Area of rectangular garden is 2632 feet²

Step-by-step explanation:

Given that length of Rectangular garden is 9 feet more than its width and perimeter of garden is 206 feet.

Let's assume length of Rectangular garden be x + 9 feet and width be x feet respectively. Firstly using the formula of Perimeter of rectangle we'll find the length and width of the garden.

[tex] \\ \\ \dashrightarrow \: \: { \underline { \boxed{ \pink{ \sf {Perimeter _{(rectangle)} = 2(L + W)}}}}} \\ \\ [/tex]

Substituting the required values:

[tex]\\[/tex]

[tex]\dashrightarrow \sf \: \: 2(x + 9 + x) = 206 \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: 2x + 18 + 2x = 206 \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: 4x + 18 = 206 \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: 4x = 206 - 18 \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: 4x = 188 \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: x = \dfrac{188}{4 } \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: x = 47 \\ \\ [/tex]

Hence,

Length of garden = x + 9 = 47 + 9 = 56 feetWidth of garden = x = 47 feet

[tex]\\[/tex]

Now,

[tex] \\ \dashrightarrow \: \: { \underline { \boxed{ \pink{ \sf Area _{(rectangle)} = Length \times Width }}}} \\ \\ [/tex]

Substituting the required values:

[tex]\\[/tex]

[tex]\dashrightarrow \sf \: \: Area = 56 \times 47 \\ \\ [/tex]

[tex]\dashrightarrow \sf \: \: Area = 2632~ ft^2 \\ \\ [/tex]

Hence,

Area of rectangular garden is 2632 feet²

Answer:

Area of rectangular garden is 2632 feet²

Step-by-step explanation:

Given:-

Length of Rectangular garden is 9 feet more than its width perimeterof garden is 206 feet.

To find :-

The area of rectangular garden

Solution:-

Let the length of Rectangular garden be x + 9 feet and width be x feet .

We know that , the formula of Perimeter of rectangle is 2 ( L + B )

putting the known values to find the dimensions ,

2 ( L + B ) = 206 feet

2 ( x + 9 + x ) = 206 feet

4 x + 18 = 206 feet

x = 47 feet

putting the values of x in the equation ,

Length :- 56 feet

width :- 47 feet

Now , area of rectangular garden :- B

Area => 56×47 feet²

Area => 2632 feet²

If you deposit $300 in an account and it grows by 6% each year, how much money will be in your account after 1 year?

Answers

Answer:

318

Step-by-step explanation:

300 + (300 * 6%) = Answer

300 + (300 * 0.06) = 318

A student is evaluating the expression below for n = 3.7.
12.8 + 6(n - 0.5)
1. The student substitutes 3.7 for n. Write the new expression.
2. What step should he do next?

Answers

Use pemdas (parenthesis, exponents, multiplication/division, addition/subtraction)
12.8+(6*(3.7-.5))
12.8+(6*3.2)
12.8+(19.2)
=32

find the sum of the first 10 terms 125,50,20

Answers

Answer:

208.3

Step-by-step explanation:

Since the numbers are decreasing as multiples, its a geometric progression.

[tex]S_{n}=\frac{a(1-r^{n} )}{1-r} ; r\neq 1 \ and\ r \ is\ less\ than\ 1\\common\ ratio=\frac{20}{50}=\frac{2}{5}\\ S_{10}=\frac{125(1-(2/5)^{10} )}{1-(2/5)} \\=208.3[/tex]

PLEASE HELP!!!!! I"LL MARK AS BRAINLIEST!!!Tom conducted a drawing competition at school. He bought 5 boxes of colored pencils and spent $5.25 on drawing paper. However, more contestants entered than he expected, and he had to buy 2 more boxes of colored pencils. The total cost of the paper and pencils was $82.95. Identify the equation and solution that would help to find the cost of each box of pencils.
A. 5x + 2x + 5.25 = 11.10; $82.95
B. 5x − 2x + 5.25 = 82.95; $11.10
C. 5x − 2x + 5.25 = 82.95; $1.11
D. 5x + 2x + 5.25 = 82.95; $11.10

Answers

C. 5x-2z+5.25=82.95;$1.11

Mr. Loy fixes bikes for a living. This month, he plans to fix 747474 bikes. So far, he has fixed 141414 kids' bikes and 252525 adults' bikes.
How many bikes does Mr. Loy still have to fix?



Answers

he has to fix 353,535 more

what digit is in the ten thousand place in 796,142 what is the answer​

Answers

Answer:

9

Step-by-step explanation:

2 is in the ones place

4 is in the tens

1 is in the hundreds

6 is in the thousands

9 is in the ten thousands

Answer:

The number that is in the ten thousands is 9, whose value is 90,000.

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Thank you so much for participate in the community of Brainly.com

I hope help you :)

Kind regards, Antonio.

The sum of 4 and the product of three and a number x

Answers

Answer:

4=3+x

Step-by-step explanation:

hello!

First, let the number be x.

The product of 3 and x looks like so:-

3x

Now, add 4 (the sum of 4 and 3x):

[tex]\bigstar\sf{3x+4}[/tex]

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

I’m not good at these I need help

Answers

Answer:

f(3) = 9

Step-by-step explanation:

From the table, when can see that when x is 3, f(x) is 9.

Therefore, f(3) = 9

Answer:

[tex]f(3)[/tex]=9

Step-by-step explanation:

[tex]f(x)[/tex] is x times a function.

so if you look at the table on the 'x' side and go down the table until you reach '3' and see what number on the 'f(x)' side corresponds with it, you will see '9'

so [tex]f(3) = 9[/tex]

and that means your answer is D

•** Plss help me **•

Answers

I think the answer is 30km^2

1/2 ×4 × 15 = 30

Answer:
The answer is 30
Explanation:
4+b=7
b=3
1/2 x 12 x 4= 24
1/2 x 4 x 3= 6
24+6
30

For which values of k would the product of k/3 X 12 be greater than 12

Answers

Answer:

[tex]\text{k = 4, 5, 6, 7, 8... and onwards}[/tex]

Step-by-step explanation:

The product of k/3 and 12 be greater than 12.

⇒ k/3 × 12 > 12

The first step in determining the possible values of "k" is to simplify the left-hand-side (L.H.S) of the inequality.

⇒ (12 × k)/3 > 12

⇒ (12 ÷ 3) × k > 12

⇒ (4) × k > 12

The next step in determining the possible values of "k" is to isolate the variable. To do this, we can divide 4 both sides.

⇒ [4 × k]/4 > 12/4

⇒ k > 12/4

⇒ k > 3

To satisfy the inequality, the value of k must be greater than 3. Thus, the values of k could be [tex]\text{4, 5, 6... }[/tex] and so on.

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