Matt builds a storm shelter in the shape of a rectangular prism. It is 6 feet tall, 8 feet long, and 2 feet wide. What is its surface area? ​

Answer:

2eXz2

Step-by-step explanation:

Answer:

29.394 square feet.

Step-by-step explanation:

There is no explanation for this answer.

Answer:

30 ft

Step-by-step explanation:

10 x 6 = 60

60 ÷ 2 = 30

formula : base x height ÷ 2

Answer:

41.6 m

Step-by-step explanation:

The area (A) of a square is calculated as

A = s² ( s is the side length ), then

s² = 108.16 ( take the square root of both sides )

s = [tex]\sqrt{108.16}[/tex] = 10.4

Then

perimeter = 4s = 4 × 10.4 = 41.6 m

Slope: 1/5

Y-intercept: 0

Equation: Y= 5x

Answer:

I think the answer is odd. I am not sure because I don't know this topic really well.

Step-by-step explanation:

Answer:

f(x) = A*∛(x + 2) + 3

Step-by-step explanation:

Suppose a generic cube as:

f(x) = A*∛(x - b) + C

We will have a turning point at the x value:

x = b

Then if we have a turning point at (-2, 3)

This means that the turning point is at x = -2 and y = 3

Then b = -2

And our cube root function will be something like:

f(x) = A*∛(x - (-2)) + C

f(x) = A*∛(x + 2) + C

And we know that f(-2) = 3

then:

f(-2) = A*∛(-2 + 2) + C = 3

f(-2) =  A*∛(0) + C = 3

      = C = 3

Then the general equation will be something like:

f(x) = A*∛(x + 2) + 3

Answer:

Step-by-step explanation:

Up - 8

Down - 8

     ⨆

8•8=64

11.5

Step-by-step explanation:

Answer:

3x-y=5

3*2(X)=6-1(Y)=5

Step-by-step explanation:

x=2

y=1

Answer:

Step-by-step explanation:

38% of 60 = [tex]\frac{38}{100}*60 = 0.38*60 = 22.8[/tex]

Answer:

Step-by-step explanation:

38% * 60

[tex]\frac{38}{100} * 60\\\\\frac{38}{5} * 3\\\\114/5 = 22.8[/tex]

Answer:

0002 0011 1010

0020 0101

0200 1001

2000 1100

9 times

Step-by-step explanation:

9 times is the right answer

Answer:

a) 2,350,000,000

b) 25,000,000

c) B

Step-by-step explanation:

a) 2350 X 1,000,000 = 2,350,000,000

b) 25 X 10^6 = 25,000,000

c) sqrt(90000) =300

Answer:

B. triangles A and C

Step-by-step explanation:

they're all right triangles but triangles A and C hAve all the same angles so they're the MOST similar

hope this helps <3

Answer:

y= 169 −  [tex]100^{2}[/tex]

Step-by-step explanation:

A parabola is a symmetrical plane curve that forms when a cone intersects with a plane parallel to its side.

Standard form of a quadratic function represent a parabola.

The equation of parabola is [tex]y=-x^{2} +1.69[/tex]

We have to find the formula for the parabola that has x- intercepts  [tex](1.3,0)[/tex] and [tex](-1.3,0)[/tex], and y- intercept [tex](0,1.69)[/tex]

So that, the intercept form of the quadratic equation is;

                    [tex]y=a(x-p)(x-q)[/tex]

where [tex](-1.3,0)=(p,0)[/tex]  and [tex](1.3,0)[/tex] is[tex](q,0)[/tex].

Since, with the vertex being at the y axis and the intercepts at the x axis means that the parabola opens down.

So that,

           [tex]1.69=a(0+1.3)(0-1.3)\\ \\1.69=-1.69 a\\ \\a=-1[/tex]

Substituting value of a in above equation.

           [tex]y=-1(x+1.3)(x-1.3)\\\\y=-1(x^{2}-1.69 )\\\\y=-x^{2} +1.69[/tex]

Hence, the equation of parabola is [tex]y=-x^{2} +1.69[/tex]

Learn more about the equation of parabola here:

https://brainly.com/question/4148030

[tex]f(x) = - \sqrt{x + 5 + 4} + 1 - 3[/tex]

[tex]f(x) = - \sqrt{x + 9} - 2[/tex]

Answer:

x=7/2

Step-by-step explanation:

Answer:

x=7/2

Step-by-step explanation:

x-(2x+1)=8-(3x+2)

x-2x-1=8-3x-2

-x-1=6-3x

+x on both sides

-1=6-2x

-6 on both sides

-7=-2x

7=2x

÷2 on both sides

7/2=x

Hope this helps =]

Answer:

11

Step-by-step explanation:

am so smart

Answer 870.15

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

i believe that the 13 is there to throw you off. anyway to solve just do 5•12=60

60÷2=30 so 30 is area of triangle

area of triangle =1/2×base×height

area of triangle=1/2×12×5

area of triangle=30 unit²

Answer:

B

Step-by-step explanation:

i took the test

Answer:

30%

Step-by-step explanation:

Answer: good luck

Step-by-step explanation:

Answer:

5/18

Step-by-step explanation:

Volume= length•width•height

5/6•1/2= 5/12

5/12•2/3= 10/36= 5/18

Answer:

From bottom = 30 cm

Below top = 20 cm

Step-by-step explanation:

Length & breadth of the aquarium = 40cm(as it is square)

Volume of aquarium = l x b x h

volume of aquarium = 40 x 40 x 50 = 80000 cm³

Volume of water = ½ half of aquarium

Volume of water = ½ x 80000 = 40000 cm³

Volume of the solid cube = a³ = (20cm)³ = 8000cm³

Surely, 40000>>>8000, level doesnt reach the top of the tank.

Volume acquired = 40000+8000=48000 cm³

Now, let it has reached reached a height h from the ground(bottom).

Volume = 48000 => lx b x h = 48000

=> 40 x 40 x h = 48000

=> h = 30 cm

The height at which water has reached is 30 cm(from bottom).

Thus, below the top it has reached = total height - 30 cm = 50 - 30 = 20 cm

Answer:

The answer is above the solid line.

Step-by-step explanation:

Answer:

1a, 2b, 3d, 4a, 5c, 6b, 7a, 8b, 9c, 10d, 11d, 12a, 13c, 14b, 15a, 16b

Step-by-step explanation:

Answer:

a. r = 8 cm

b. The volume of the cone is approximately 1,229 cm³

Step-by-step explanation:

The given parameters are;

The slant height of the cone  = l cm

The base radius of the cone = r cm

The total surface area of the cone = 224·π cm

r : l = 2 : 5

Therefore, we have;

[tex]\dfrac{r}{l} = \dfrac{2}{5}[/tex]

[tex]r= \dfrac{2}{5} \times l[/tex]

The total surface area of a cone, T.S.A.  = π·r·l + π·r²

The total surface area of the cone, T.S.A. cone = π × (2/5)·l² + π·((2/5)·l)²

T.S.A. cone = π × (2/5)·l² + π·((2/5)·l)² = π·((2/5)·l² + (4/25)·l²)

T.S.A. cone = π·l²·((2/5) + (4/25)) = (14/25)·π·l²

∴ T.S.A. cone = 224·π cm² = (14/25)·π·l²

l² = 224 cm² × 25/14 = 400 cm²

l = √(400 cm²) = 20 cm

[tex]r= \dfrac{2}{5} \times l = \dfrac{2}{5} \times 20 \, cm = 8 \, cm[/tex]

r = 8 cm

b. The volume of a cone, V = 1/3·π·r²·h

Where;

h = The height of the cone

By Pythagoras's theorem, h = √(l² - r²)

∴ h = √(20² - 8²) = √(336) = 4·√(21)

The height of the cone, h = 4·√(21)

The volume of the cone, V = 1/3 × (22/7) × 8² × 4·√(21) ≈ 1,229.00315781

∴ The volume of the cone, V to the nearest whole number ≈ 1,229 cm³.

Answer:

60

Step-by-step explanation:

If -30 is its only zero, than the factors are (x+30)(x+30) = [tex]x^2 + 60x + 900[/tex]

Than b = 60

The value of b of the function f (x) would be,

⇒ b = 60

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

⇒ f (x) = x² + bx + 900

And, -30 as its only zero.

Now, The value of zero of function is satisfy the function as;

⇒ f (- 30) = 0

⇒ (- 30)² + (- 30)b + 900 = 0

⇒ 900 - 30b + 900 = 0

⇒ 1,800 = 30b

⇒ b = 60

Thus, The value of b of the function f (x) would be,

⇒ b = 60

Learn more about the function visit:

https://brainly.com/question/11624077

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