Solve the problem. Check answers to be sure they are reasonable.
A​ 10-gal aquarium is 4 in. higher than it is wide. Its length is 17 ​in., and its volume is 4284 in.^3. What are the height and width of the​ aquarium?

Answer:

Step-by-step explanation:

I assume that "side length" means the slant height of one of the triangular faces.

area of a triangular face = ½(base)(side length) = ½(7)(11.5) = 40.25 in

lateral area = all four triangles = 161 in²

base area = 7² = 49 in²

total surface area = lateral area + base area = 161+49 = 210 in²

The area of the pyramid is  1.4625 ft²

If the base of the pyramid is in the shape of a square (base with 4 sides), then it is called a square pyramid. As the square has 4 sides, then the square pyramid has the following properties: No. of Faces: (4+1) = 5 No.of Vertices: (4+1)= 5 No. of Edges: 2(4) = 8

Given here: The height is 11, the base is 7 in, and the side length is 11.5 inches of a pyramid.

The surface area of a square pyramid is the sum of the areas of its square base and four triangular faces:

SA = BA + (4 × FA)

     =[tex]a^2+a\sqrt{a^2+4h^2}[/tex]

Where a= base length and height = h

Thus inputting the values we get

SA= 7²+7[tex]\sqrt{7^2+4.11^2}[/tex]

   =49+7√533

    =210.60 in²

Thus in ft.² we have 1.4625 ft²

Learn more about the pyramid here:

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Answer:-

7.5 cups of flour is required for 30 people

Step-by-step explanation:-

2 cups = 8 people

x cups = 30 people

[ Cross multiply ]

=> 2×30 = x × 8

=> (2 × 30)/8 = x

=> 60/8 = x

=> 7.5 cups = x

Thus, for 30 people 7.5 cups of flour is required.

Hope this helps you.

Answer:

Merhaba, siz kanadada İngilizcem konuşuyoruz vay canına sjsjs

Answer:

10x=44+2y

x=44+2y/10.....eq(i)

-9y=10+ 2x

-Y=10+2X/9....eq(ii)

Then solve by eq(i) and eq(ii)

Answer:

[tex]5+\frac{x}{6}[/tex]

Step-by-step explanation:

When we say the quotient of x and six, that means x divided by 6, or x/6, and since is says 5 is increased by this amount, we must add x/6 to 5 and get 5+x/6.

Answer:

i think 6 is divider

6 divide by a one number it give as 5

Answer:

6

11

Step-by-step explanation:

Answer:

-2x² - 5x - 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

(3x² - 3x + 6) - (5x² + 2x + 9)

Step 2: Simplify

Answer:

144 cups-14 pints

Step-by-step explanation:

[tex] \frac{24}{48} [/tex]

The lowest term of the given fraction by simplifying.

[tex] \frac{24}{48} [/tex]

[tex] = \frac{24 \div 24}{48 \div 24} [/tex]

[tex] = \frac{1}{2} [/tex]

Answer:

slope= (-1)

...................

Answer:

The answer is "15%".

Step-by-step explanation:

[tex]x = 26 \pm 6\% \\\\ y = 29 \pm 9\%\\\\z=x \times y \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Z=(x \pm &x \%)\times (y\pm &y \%)[/tex]

  [tex]= 26 \pm 6\% \times 29 \pm 9\%\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Z=xy \pm (&x+ &y)\%[/tex]

  [tex]=754 \pm 15\%\\\\[/tex]

[tex]15 \% \ \ error[/tex]

Answer:

angle WXU=56 degrees

Step-by-step explanation:

WX || TV so angle WXU is congruent to angle TVU

68-3x=84-7x

simplify by adding 7x to each side

68+4x=84

simply further by subtracting 68 from each side

4x=16

divide both sides by 4

x=4

angle WXU=68-3x

substitute for x

angle WXU=68-3(4)=68-12=56 degrees

Answer:

0.583

Step-by-step explanation:

You have a total of 12 coins in your pockets (3 nickels + 4 dimes + 5 quarters).

There are 7 nickels/dimes (3 + 4), meaning you have a 7/12 chance of picking either a nickel or a dime.

7/12 simplifies to 0.583.

You have a 0.583% chance of picking either a nickel or a dime.

Answer: 1/9

Step-by-step explanation:

The slope of this line is -9. The slope of the perpendicular line is the opposite reciprocal. The reciprocal of -9 is -1/9, the opposite of that is 1/9

Answer:

−26 and (−1)×2×13=-26

Step-by-step explanation:

2(−10−5)+4

Subtract 5 from −10 to get −15.

2(−15)+4

Multiply 2 and −15 to get −30.

−30+4

Add −30 and 4 to get −26.

−26

Answer:

-26

Step-by-step explanation:

We substitute b for -10, so 2 ((-10) - 5) + 4

Using PEMDAS, we do the parenthesis first: 2 ((-10) - 5) + 4 = 2 (-15) + 4

Then we multiply: 2 (-15) + 4 = (-30) + 4

And finally, we add: (-30) + 4 = -26

(1,2)

reflect across x=6

(11,2)

reflect across x=4

(-3,2)

Done!

Answer:

16 divided by 2 equals C which is 8.

Step-by-step explanation:

Answer: x = 118

Step-by-step explanation:

Answer:

Statements 1, 2, or 4 each imply a rectangle. Check all three.

Step-by-step explanation:

Answer:

Step-by-step explanation:

-4(7-1) = (-4)7 + (-4)(-1) = -24

Step-by-step explanation:

olum herşey ingilizce normal mi bu ağaağagagâ

Answer:

The equation that represents the sentence is W + 6 + 5 = 2.

Step-by-step explanation:

Since it is required to propose an equation that reflects that five more than the quotient of a number and 6 is equal to 2, using the variable W for the unknown number, the following equation must be performed to determine what the unknown number is:

W + 6 + 5 = 2

W = 2 - 5 - 6

W = -9

Therefore, the unknown number is -9.

Answer:

4, 2, 3, 1

Step-by-step explanation:

Blocks that weigh heavier won't go as far because friction will get to much and the weight and air resistance is bigger on a bigger block, therefore it would slow to a stop further behind te lesser weight ones

I hope you are having a lovely day.

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Answer:

5cm

Step-by-step explanation:

Given data

volume = 225π cm³

Height= 9cm

r= ???

Volume of cylinder

v=πr^2h

substitute

225π= π*r^2*9

225= r^2*9

r^2= 225/9

r^2= 25

r= √25

r= 5cm

Hence the radius is 5cm

Answer:

x = 1

Step-by-step explanation:

29x + 2 = 31

       -2      -2

29x = 29

-----    -----

29      29

x = 1

Answer:

[tex]y = -4[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (0, -4)[/tex]

[tex](x_2,y_2) = (5, -4)[/tex]

Required

Determine the equation

First, calculate the slope using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{-4 - (-4)}{5 -0}[/tex]

[tex]m = \frac{-4 +4}{5}[/tex]

[tex]m = \frac{0}{5}[/tex]

[tex]m = 0[/tex]

The equation is then calculated using:

[tex]y = m(x -x_1) + y_2[/tex]

This gives:

[tex]y = 0(x - 0)-4[/tex]

[tex]y = 0-4[/tex]

[tex]y = -4[/tex]

Answer:

this is the solution

1 and 5 are yes and the rest are no

Answer: See explanation

Step-by-step explanation:

67 × 100 = 6700

67 × (10 x 10)      Yes

10 × 10 = 100

67 × 100 = 6700

67 × (10 × 10 × 10)      No

10 × 10 × 10 = 1000

67 × 1000 = 67000

670 × 10³           No

10³ = 1000

670 × 1000 = 670000

670        No

670 ≠ 6700

6700      Yes

6700 = 6700

67000      No

67000 ≠ 6700

Hope this helped!

Answer:

240 cm³

Step-by-step explanation:

Volume = lwh

10cm • 6cm • 4cm

10cm • 24 cm²

240 cm³

Answer:

y = 3/4x + 10

Step-by-step explanation:

The equation of a line is y = slope * x + y-intercept

To find the slope, you choose two points and do (y1-y2)/(x1-x2): Point 1 can be (4,13) and point 2 can be (8,16) so, slope = (13-16)/(4-8) = -3/-4 = 3/4

The y-intercept is the value of y when x is 0, so it would be 10.

Put it together and you get y = 3/4x + 10