A public library has an aquarium in the shape of a rectangular prism. The base is 6 feet by 2.5 feet. The height is 4 feet. How many square feet of glass were used to build the aquarium? (The top of the aquarium is open.)

Answers

Answer 1

Answer:

83 ft^2

Step-by-step explanation:

6*2.5 (bottom)= 15

4*2.5*2 (one set of sides)= 20

4*6*2 (another set of sides)= 48

Add, 83 ft^2


Related Questions

KLMN ~ PQRS. Find the given side length or angle measure.

Answers

let's keep in mind that the shapes are both congruent, and let's also notice the letters sequence, KLMN is congruent with with its corresponding sides and angles at PQRS, so the PS side will be corresponding with the NK side, and the angle at M is the same as the angle at R, Check the picture below.

Find the area of the figure

A: 14 cm2
B: 50 cm2
C: 60 cm2
D: 64 cm2

Answers

Answer:

64 cm^2

Step-by-step explanation:

Split the figure into two parts (top and bottom rectangle)

TR : 2 x (12-5)*

   2 x 7 = 14

*= Since there are a few ways to split it up but I chose to make the top one shorter so you have to subtract 5 from 12

BR : 10x5 = 50

Add together

14 + 50 =

64 cm^2

Hope this helps :)

Solve the following inequality.
-6 < 2x + 8 = 16
[?] < x =
< x <

Answers

Step-by-step explanation:

[tex] - 6 < 2x+8< 16[/tex]

-6<2x+8<16

on subtracting 8 from both sides

-14<2x<8

on dividing 2 on both sides

-7<x<4

-7<x<4

I hope it helped you

Find the perimeter of each figure.
6 cm
2 cm
2 cm
6 cm

Answers

Answer:

Assuming that you are listing the length of each side of the figure, we can add the values together.  The perimeter is 16 cm.

Step-by-step explanation:

6+2+2+6=16 cm

A triangle has side lengths of (5n+3p)(5n+3p) centimeters, (9n+8q)(9n+8q) centimeters, and (6q+9p)(6q+9p) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

Answers

The expression that represents the perimeter of the given triangle in centimeters is;  14n + 10p + 14q

What is the perimeter of the triangle?

We are given the  side lengths of the triangle as;

5n + p; 9n + 8q; 6q + 9p

Now, the formula for perimeter of a triangle is;

Perimeter = a + b + c

where a, b and c are side lengths of the triangle. Thus;

Perimeter = 5n + p + 9n + 8q + 6q + 9p

Perimeter = 14n + 10p + 14q

In conclusion, we can sa that the perimeter of the given triangle is 14n + 10p + 14q.

Read more about Triangle Perimeter at; https://brainly.com/question/24382052

-10 - | 5 -12 | + 3 + | 5 + 12 | =

Answers

Answer:

3

Step-by-step explanation:

the absolute value function always returns a positive value , that is

| - a | = | a | = a

given

- 10 - | 5 - 12 | + 3 + | 5 + 12 |

= - 10 - | - 7 | + 3 + | 17 |

= - 10 - 7 + 3 + 17

= 3

please answer these for me! Right answers only. Thanks

Answers

Answer:

For all of these triangles apply the formula;

A = BH x 1/2

Where 'B' represents the base, 'H' stands for the height, and 1/2 just means to divide the product of the two lengths (base x height) by 2.

1.

Base = 9.1

Height = 31.2

Plug into formula:

A = BH x 1/2

A = 9.1(31.2) x 1/2

A = 283.92 x 1/2

A = 283.92/2

A = 141.96 square centimetres.

2.

Base = 5

Height = 3 3/4 which can be considered 3.75

Plug into formula:

A = BH x 1/2

A = 5(3.75) x 1/2

A = 18.75 x 1/2

A = 18.75/2

A = 9.375 square kilometres.

3.

Base = 2.4

Height = 3.2

Plug into formula:

A = BH x 1/2

A = 2.4(3.2) x 1/2

A = 7.68 x 1/2

A = 7.68/2

A = 3.84 square inches.

4.

Base = 11

Height = 60

Plug into formula:

A = BH x 1/2

A = 11(60) x 1/2

A = 660 x 1/2

A = 660/2

A = 330 square millimetres.

5.

Base = 10

Height = 13 1/2 which can be considered 13.5

Plug into formula:

A = BH x 1/2

A = 10(13.5) x 1/2

A = 135 x 1/2

A = 135/2

A = 67.5 square feet.

Answer:

1. 141.96 cm²

2. 9 km²

3. 3.84 in

4. 10.39mm

5. 66.67 ft

Step-by-step explanation:

Formula of Area of Triangle : ½ × base × height

1. = ½ × 9.1 × 31.2

= 9.1 × 15.6

= 141.96 cm²

2. = ½ × 3¾ × 5

= ½ × 15/4 × 5

= 15/8 × 5

= 75/8 = 9 km²

3. = ½ × 3.2 × 2.4

= 3.84 in

4. = tan c = AB/BC

c = tan -¹ (AB/BC)

c = tan -¹ (60/11)

c = 79.61

A = 90 - 79.61 = 10.39mm

5. = ½ × 13 × 10ft

= 66.666 66.67 ft

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)


Solve for the exponential for x

Answers

Answer:

x = 1

Step-by-step explanation:

[tex] {7}^{(4x - 6)} = \frac{1}{49} \\ \\ \implies {7}^{(4x - 6)} = \frac{1}{ {7}^{2} } \\ \\ \implies {7}^{(4x - 6)} = {7}^{ - 2} \\ \\ \implies \: 4x - 6 = - 2 \\ \\ \implies \: 4x = 6 - 2 \\ \\ \implies \: 4x = 4 \\ \\ \implies \: x = \frac{4}{4} \\ \\ \implies \: x = 1[/tex]

Answer:

x = 1

Step-by-step explanation:

Using Definition of Logarithm

7 ^(4x−6) = 1/49

​Use the rules of exponents and logarithms to solve the equation.

7 ^(4x−6) = 1/49

​Take the logarithm of both sides of the equation.

log(7^4x-6) = log(1/49)

The logarithm of a number raised to a power is the power times the logarithm of the number.

(4x-6)log(7) = log(1/49)

Divide both sides by log(7).

4x-6 = log(1/49)/log(7)

​By the change-of-base formula log(a)/log(b) = log(small b under) (a).

4x-6 = log(small 7 under) (1/49)

Add 6 to both sides of the equation.

4x=−2−(−6)

Divide both sides by 4.

x = 4/4 which is the same as x = 1

If the slope of a line is 2 and the y-intercept is 7, what would the equation be in slope intercept form?

Question 11 options:

y = 7x + 2


y = -2x -7


y = 2x -7


y= 2x + 7

Answers

Answer:

y = 2x+7

Step-by-step explanation:

y = mx + c

m = slope

c is the y intercept

so

y = 2x+ 7

solve for the exact values of x and y above

Answers

Answer:

x = 14.14 and y = 10

Step-by-step explanation:

Using trigonometric ratios;

10/x = cos 45

x = 10/(cos 45)

x = 14.14

y/10 = tan 45

y = 10 * tan 45

y = 10

jacobs paints the outside of the rectangular primsim below, except for thr bottom the length is 9 cm and the width is 4/3. What is the total area that he paints?

Answers

Answer:

the area of triangle formula is A = B*H  / 2

so it means 16 square = (x+4) x /2

so x²+4x -32=0, D' = 2²- (-32)= 36, sqrt of D' = 6

so x = -2 -6 = -8 or x= -2 +6 = 4

x must be positive so x = 4

Step-by-step explanation:

Find the sum of these polynomials. (2x^2+x+3)+(3x^2+2x+1)

Answers

that would be the solution to this

Answer:

5x²+3x+4

Step-by-step explanation:

(2x²+x+3)+(3x²+2x+1)

add 2x² and 3x² since they're like terms

5x²+x+3+2x+1

add 2x and x = 3x

5x²+3x+3+1

add 3 and 1 = 4

5x²+3x+4

26. An electronic game store is offering a 20% discount on all items in the store.
If the original price of a game is $55, how much will it cost after the discount?

Answers

Answer:

11$

Step-by-step explanation:

20% is equivalent to 0.20, so if we multiply that by 55, it will take off 20% of the price, giving us 11$.

0.20 × 55 = 11

Brainliest please?

Answer: ✨$75✨

Step-by-step explanation: ✨Well I added them I hope this helps✨

A graph shows the preimage and image of a shape that has undergone one transformation. If the preimage and image are not congruent what transformation was applied?

A. reflection
B. rotation
C. dilation
D. translation

Answers

Answer:

C. dialtion

Step-by-step explanation:

A dialtion either reduces or enlarges the dimensions of a shape, causing for them to no longer be congruent.

A reflection wouldn't change the congruency of the shape since it is just reflecting it across whatever axis. The dimensions stay the same.

A rotation would simply rotate/turn the shape. The dimensions would not be changed.

A translation would slide the shape elsewhere whether it be vertically, horizontally, or diagonally. The dimensions would not change.

Therefore, we can conclude that option C makes the most sense.

hope this helps!


Kelsey's class took a field trip to the art museum. They left school at 7:40 A.M. It took them
40 minutes to drive to the museum. They stayed at the museum for 1 hour and 15 minutes.
What time was it when Kelsey's class left the museum?

Answers

Answer:

9:35 am

Step-by-step explanation:

7:40 am

+ 40 minutes

7:80

:60 = + 1

:80 - :60 = +:20

8:20

1 hour and 15 minutes =

+ 1 hour =

9:20

+ 15 minutes

9:35 am

A swimming pool measures 10 feet by 8 feet by 5 feet. What is the volume of the swimming pool

Answers

Answer:

400 ft^3

Step-by-step explanation:

To find volume you simply do length x width x height

So, 10 x 8 x 5 which equals 400 ft; We make it have a power of 3 (cubed) because it is 3 dimentional object.

Hope this helps!

A right triangle has legs measuring 18 in. and 26 in.

What is the length of the hypotenuse?

Round to the nearest tenth.


18.8 in.

31.6 in.

44.0 in.

100.0 in.
i know the answer but I need someone to explain to me how to do this, I do a^2+b^2 +c^ and i keep getting 26

Answers

Answer:

The answer is 100 in

Step-by-step explanation:

The pythagorean theorm states that, for any right triangle where a and b are the legs and c is the hypotenuse, a^2 + b^2 = c^2. So, we can substitute and solve.

18^2 + 26^ 2 = c^2

324 + 676 = c^2

1000=c^2

Square root of 1000 = c

100.0=c

Hope this helps!

The triangles are similar.


What is the value of x?

Answers

Answer: The answer is 13, read on to find out

Step-by-step explanation: The traingles are simliar so the values are similar as well. Find a lowest common factor of the values.

The lowest common factor is 4 because all the numbers can be divided by the number 4.

20 divided by 4 is 5 which is already shown on the graph

48 divided by 4 is 12

All we have to do now is 52 divided by 4

13

Hope I helped you answer the question! Have a great day/afternoon!

how do i find angle measurements

Answers

Answer:

if youre doing this on paper use a protractor

Step-by-step explanation:

place the straight line ontop of the side you're trying to read the angle from and go in a clockwise direction when using the compass until you find the angle degree.  hope that helps:-)

I NEED THIS RIGHT NOW

Answers

Answer:

E

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

the reason is, for a direct relation between x and z we have too little information.

z could be huge, much, much bigger than y and x, or just bigger by 1 than y.

so, assume e.g. the following 2 scenarios

z = 6

y = 5

x = 4

and

z = 600

y = 26

x = 3

A

x + y > z

is true for the first scenario, but not for the second. so, it is not always true.

B

z - x < z - y

no you subtract something smaller, so the result is bigger. this is not true for any of the scenarios.

C

xz > yz

no, z is the same part in both sides, and when it gets multiplied by something smaller, the result is smaller. this is not true for any of the scenarios.

D

z/x < z/y

no, again z is the same part in both sides, and when it gets divided by something smaller, the result is bigger. this is not true for any of the scenarios.

E

yz > xy

in this case y is the same part on both sides. when it gets multiplied by something bigger, the result will be bigger. so, this is true in all cases.

.
How many degrees are in a circle?
180°
300°
90°
360°

Answers

A circle is divided into 360 equal degrees

Answer:

360

Step-by-step explanation:

each part of circle are divided into 360

Jan'ai was asked to determine the minimum for a function with zeros located at –1 and 5, which also has a y-intercept of (0, –25). her work is shown. which best describes the first error in jan'ai's work? she incorrectly determined the factors for the beginning function. she incorrectly determined the a value. she incorrectly transformed the equation to standard form. she incorrectly determined the x-coordinate of the vertex.

Answers

The first error in Jan'ai's work in determining the considered function is given by: Option D: She incorrectly determined the x-coordinate of the vertex.

What are the coordinates of vertex for a quadratic function?

For a quadratic function of the form [tex]y = ax^2 + bx + c[/tex], its vertex form is obtained as:

[tex]y = ax^2 + bx + c\\y =a(x^2 + bx/a) + c\\y = a(x^2 + 2(b/2a)x + (b/2a)^2 -(b/2a)^2 )+ c\\y = a(x^2 + 2(b/2a)x + (b/2a)^2) -a \times (b/2a)^2 + c\\\\y = a(x+b/2a)^2 - a \times (b/2a)^2 + c[/tex]

For the form [tex]y = a(x-h)^2 + k[/tex], the vertex has coordinates (h, k)

Thus, for the obtained equation [tex]y = a(x+b/2a)^2 - a \times (b/2a)^2 + c[/tex], we get the coordinates of vertex as:

[tex]h = -b/2a[/tex], [tex]k = c - a\times(b/2a)^2[/tex]

Thus, the coordinates of vertex of  [tex]y = ax^2 + bx + c[/tex] is:

[tex](h,k) = (-b/2a, c - a \times (b/2a)^2 )[/tex]

The missing steps of work of Jan'ai are:

Begin to write a function in factored form. [tex]f(x) = a(x+1)(x-5)[/tex]Substitute x = 0, y = f(x) =  -25 to determine a. [tex]-25 = a(0+1)(0-5)[/tex]Simplify and solve to find a. [tex]a=5[/tex]Rewrite the function. [tex]f(x) = 5(x+1)(x-5)[/tex]Rewrite in standard form. [tex]f(x) = 5x^2-20x-25[/tex]Find the x-coordinate of the vertex. [tex]x = -20/2(5) = -20/10; x = -2[/tex]Find the y-coordinate of the vertex.

[tex]y = 5x^2-20x-25[/tex]

[tex]y = 5(-2)^2-20(-2)-25[/tex]

[tex]y = 35[/tex]

so (-2,35) is the coordinate of the vertex, which denotes the minimum.

So, as we see, in the 5th step, Jan'ai had the quadratic function [tex]f(x) = 5x^2-20x-25[/tex],

Comparing this to [tex]f(x) = ax^2 + bx + c[/tex], we get a = 5, b = -20, c = -25

The vertex's x-coordinate will be on -b/2a = -(-20)/ 2(5) = 20/10 = 2

But Jan'ai didn't putted that negative sign before b. in the 6th step.

Thus, the first error in Jan'ai's work in determining the considered function is given by: Option D: She incorrectly determined the x-coordinate of the vertex.

Learn more about the vertex form of a quadratic equation here:

https://brainly.com/question/9912128

Answer:

The answer is D on edge

Step-by-step explanation:

What is the experimental probability of hitting a polka dot balloon or solid balloon
there are 18 solid balloons, 5 polka dot balloons and 17 striped balloons

Answers

Answer:

18 plus 5 plus 17 gives 40 therefore ; p is eq 23/40

Whats the answer ? I need help as soon as possible!

Answers

Answer:

the answer is

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

1. 91/5 + 112/5 + 201/5

2. denominators are the same

3. 404/5

A parallelogram has an area of 10square feet.
a.Complete the table that shows the relationship between the dilated area ( ) and
the scale factor ( y).

Answers

All answers are listed below:

For A = 0 ft², the scale factor is 0.For A = 40 ft², the scale factor is 2.For A = 160 ft², the scale factor is 4.For A = 360 ft², the scale factor is 6.For A = 640 ft², the scale factor is 8.

How to determine the dilated area of a parallelogram

The area of the parallelogram (A), in square feet, is equal to the product of the base (b) and the height (h), both in feet. By applying the rigid transformation of dilation on each side, we have the following formula:

A = k² · b · h   (1)

Where k is the scale factor.

And we can derive a scale factor by comparing two areas:

[tex]k = \sqrt{\frac{A}{A_{o}} }[/tex]   (2)

Where [tex]A_{o}[/tex] is the original area, in square feet.

If we know that [tex]A_{o} = 10\,ft^{2}[/tex], then the scales factors are shown below:

For A = 0 ft², the scale factor is 0.

For A = 40 ft², the scale factor is 2.

For A = 160 ft², the scale factor is 4.

For A = 360 ft², the scale factor is 6.

For A = 640 ft², the scale factor is 8.

To learn more on scale factors, we kindly invite to check this verified question: https://brainly.com/question/22312172

dilated area in square feet (x) scale factor (y)

0 0

40 2

160 4

340 6

640 8

Classify angles below as acute,obtuse,right,straight or reflex.

Answers

Answer:

Top is straight

Middle is reflex

Bottom is acute

Step-by-step explanation:

Straight is self explanatory

Reflex angles are greater than 180 and less than 360 degrees

Acute angles are under 90 degrees

Answer:

the very top one is straight.

8. reflex (because over 180 degrees)

9. acute (under 90 degrees)

What is the value of x?



Enter your answer in the box.

x =

Answers

Answer:

(3x+50)°=(6x-10)°

3x-6x= -10°-50°

-3x/-3 = -60/-3

x=20

NEED HELP ASAP
The equation 3c = 4s gives the relationship between c, the weight of clay, and s, the weight of sand in a mixture. There are 6.25 pounds of clay in the mixture. What is the weight of the sand?

A. 4.69 pounds
B. 8.88 pounds
C. 18.75 pounds
D. 75.00 pounds​

Answers

The weight of sand in the mixture when the weight of the clay in the mixture is 6.25 pounds is 4.69 pounds.

The equation can be represented as follows:

3c = 4s

How to find the variable in an equation?

3c = 4s

where

c = weight of the clay in the mixtures = weight of sand in the mixture

Hence,

3c = 4s

4s = 3c

let's make s the subject of the formula, since, we want to find s when c = 6.25 pounds

s = 3 / 4 c

s = 3 / 4 × 6.25

s = 18.75 / 4

s = 4.6875

s = 4.69 pounds

learn more on equation here: https://brainly.com/question/23669986

What is the volume of a cone in cubic inches with a radius of 2 inches and a height of 3 inches use 3.14 for pie round your answers to the nearest hundredth

Answers

radius r = 2 in

height h = 3 in

slant height s = 3.60555128 in

volume V = 12.5663706 in3

lateral surface area L = 22.6543468 in2

base surface area B = 12.5663706 in2

total surface area A = 35.2207174 in2

In Terms of Pi π

volume V = 4 π in3

lateral surface area L = 7.21110255 π in2

base surface area B = 4 π in2

total surface area A = 11.2111026 π in2

A suit is on sale for $414 , which is 28% less than the regular price.
What is the regular price?

Answers

Answer:

.72x=414

Step-by-step explanation:

Other Questions
For this item, enter the answer in the space provided. A college student earns $ 15, 000 working part-time at a bookstore. The student pays 1/10 of the earnings in taxes, spends 2/5 of the earnings on living expenses, and saves the remainder of the earnings. How much money does the student save? Which group of words is a dependent clause?A. Do you know the way home?B. after his dreamC. in a deep funkD. after the rules were set up In order to eliminate small competitors, a large auto maker sells cars for less than the cost of producing them. Which practice, regulated by consumer protection laws, is this?A) price fixingB) making misleading statementsC) predatory pricingD) bid rigging Visible light has a range of wavelengths from about 400-750 nm. Which of these wavelengths ismost likely seen as the color red? 6. Create lookup functions to complete the summary section. In cell I6, create a formula using the VLOOKUP function to display the number of hours worked in the selected week. Look up the week number in cell I5 in the range A17:G20, and return the value in the 2nd column. Use absolute references for cell I5 and the range A17:G20. Most of our energy waste in north america results from. PLEASE HELP I WILL GIVE BRAINLY TO FIRST GOOD ANSWER Where do frogs live on a new one day or so long day and a week ago on What process describes how pollen is produced and moved during plant reproduction? What can you infer from the following sentence?Julie saw several soldiers in uniform walking along the side of the road.The soldiers had been walking for a long time.It is winter.Julie was very upset about something.The soldiers were going somewhere Use the functions and the scenario to solve the problem.f(x)=1/2x+6g(x)=x3Shiloh and Leanne are asked to evaluate f(x)g(x).Shiloh suggests f(x)g(x)=(x3)(1/2x+6)=1/2x9.Leanne suggests f(x)g(x)=(12x+6)(x3)=12x+9.Evaluate each student's answer.Select two answers. Select the correct evaluation of Shiloh's work and the correct evaluation of Leanne's work. Why is it necessary to include all people in the mastream of development Write in a sentences. The solubility of solid substances generally ___________ as temperature increases. The solubility of gaseous substances generally ___________ as temperature increases. 1. If Malachi's workout started getting too easy how could he apply the Principle of Progression to make it more challenging? 2. Looking at Malachi's workout plan and his goal, which part of his workout displays the Principle of Specificity? 3. How could Malachi use the Overload Principle to improve his cardiorespiratory endurance? 4. If Malachi switched his goal to building muscle mass how would you change his workout to meet that goal? Find the value of x.*20483660 Which of the following words best describes the speaker's use of language throughout "The War Works Hard"? A liquid form of matter has less heat than when it is in __________ form. solid molecule gas Does the point (-5, 10) satisfy the inequality y = 5x + 9?Yes or no The fluid that is formed when blood flows through the glomerulus and some components of the plasma enter the capsular space is called. What is a major achievement of emperor fasiledes