What is the volume of this rectangular prism

Answer:

[tex]\sqrt{\frac{150^2}{2}}=75\sqrt{2}\quad \left(\mathrm{Decimal:\quad }\:106.06601 \right)[/tex]

Step-by-step explanation:

[tex]a^{2} +b^{2} = 150^{2}[/tex]

a=b

[tex]2a^{2} = 150^{2}[/tex]

[tex]a =\sqrt{150^{2}/2 }[/tex]

Answer:

Step-by-step explanation:

We are using a top down view.  We have a square building with side length s.  The diagonal is 150 ft

Using the Pythagorean theorem

s^2 + s^2 = 150^2

2s^2 = 22500

s^2 =11250

Taking the square root of each side

sqrt(s^2) = sqrt(11250)

s = sqrt(6225*2)

s = 75 sqrt(2)

Answer:

90+ 135= 225

Step-by-step explanation:

a can be found with formula (n-2)×180/n, where n is number of sides

a= 135

b=90

Answer:

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Please choose my answer as a brainliest answer and please rate.

It take a few minutes to solve your question.

Answer:

-infinity < y ≤ 2

Step-by-step explanation:

A is correct.  The largest value y can have is 2, whereas there is no smallest value.   -infinity < y ≤ 2

The range of the given graph will be -∞ ≤ y ≤ 2. The correct option is A.

The collection of all a function's outputs constitutes its range. Example: Let's take a look at the function f: AB, where f(x) = 2x and A and B each represents a collection of natural numbers. The domain in this instance is A, and the co-domain is B. The range then appears as the function's output.

The range of the function is -∞ ≤ y ≤ 2. When we move towards the left side the value of y reaches negative infinity and when we move to the right the value of y reaches the value of 2.

It means that the range of the function is varying from negative infinity to a positive value of 2.

To know more about the range follow

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Answer:

2x²=12*12

x²=144/2

x=√72

x=8.48528137424

One side of square is 8.48528137424 cm

Answer:

I believe that the answer is 69.8

A,12/15=4/5

B,20/25=4/5

C,25/30=5/6

D,28/35=4/5

=> C

The two expressions are not equivalent because one of the the rule of exponents is that when the bases of the exponents are the same (in this case, they're all x) then you can add the powers. Thus, the alternative expression should be x^(3+3+3).

Step-by-step explanation:

Super Pioneer:

If at the Super Pioneer Store he can get 4 lemons for 1.6 dollars, 1 lemon should cost:

4: 1.6

1:. X

4x = 1.6

X = 1.6/4

X = 0.4

1 lemon costs 0.4 dollars

How many lemons could we get from $2.4?

1 : 0.4

X : 2.4

0.4x = 2.4

X = 2.4/0.4

X = 6

2.4 dollars would get you 6 lemons

8 lemons would cost= 8x0.4 = $3.2

Keyfood Supermarket

3 lemons cost 1.8$, so how mucb does 1 lemon cost?

3: 1.8

1 : X

3x = 1.8

X = 1.8/3

X = 0.6

If 1 lemon costs 0.6, how many lemons could you buy from $3?

1: 0.6

X : 3

3 = 0.6x

X = 3/0.6

X = 5

If 1 lemon cost 0.6$, 8 lemons would cost:

8 x 0.6 = $4.8

(I have also edited the answers on the table, but sorry if they seem a bit messy)

Answered by G a u t h m a t h

X would be the number of years between 1920 and 1980:

1980-1920 = 60 years.

Replace x with 60 and solve:

Y = 0.34(60) + 44.63

Y = 20.4 + 44.63

Y = 65.03

Answer: 65.03 meters

Answer:

(N)0.05 + (17-N)0.1 = M; M = amount of money I have.

Or 1.7-0.05N = M.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

5/3 (x + 1/2) = 95/6

5/3 × 1/2 = 5/6

5/3x + 5/6 = 96/6

         -5/6     -5/6

---------------------------

5/3x = 90/6

5/3x = 15

------    ----

5/3      5/3

x  = 9

Answer:

English for fast response

Answer:

Number of chickens = 8

Number of pigs = 16

Step-by-step explanation:

Let the pigs = p

Let the number of chickens = c

Number of heads = 24

p + c = 24 ----------------(I)

p= 24 - c

Number of feet = 80

Chicken has 2 legs and pig has 4 legs

4p + 2c = 80 --------------(II)

Substitute p = 24 - c in equation (II)

4*(24 - c) + 2c = 80

4*24 - 4*c + 2c = 80

96 - 4c + 2c = 80          {Combine like terms}

     96 - 2c = 80        {subtract 96 from both sides}

          -2c = 80 - 96

         -2c = -16          {Divide both sides by (-2)}

           c = -16/-2

          c = 8

Plugin c = 8 in equation (I)

p + 8 = 24

    p = 24 - 8

  p = 16

x = number of hours

want to find probability (P) x >= 13

x is N(14,1) transform to N(0,1) using z = (x - mean) / standard deviation so can look up probability using standard normal probability table.

P(x >= 13) = P( z > (13 - 14)/1) = P(z > -1) = 1 - P(z < -1) = 1 - 0.1587 = 0.8413

To convert that to percentage, multiply 100, to get 84.13%

Answer:

O 0,1 or an infinite number of solutions

Step-by-step explanation:

Answer:

here we can go for two solution

Answer:

Q'(3,1) R'(2,5) S'(4,3)

Step-by-step explanation:

Q (-4,-4) -4+7= 3 and -4+5=1 so (3,1)

R (-5,0) -5+7=2 and 0+5=5 so (2,5)

S (-3,-2) -3+7=4 and -2+5=3 so (4,3)

Answer:

answered by g a u t h m a t h

Step-by-step explanation:

Answer:

Step-by-step explanation:

(b)

(i)

(ii)

(a) Cumulative frequency is 500, median is at 249, 250, the horizontal line from point 250 on y-axis intersecting the graph at approximately 52%, this is the median

(b)  Vertical line from the 45% mark intersects the graph at approximately 177th point. The number of candidates passed the test:

(iii) P(pass) = 323/500 = 0.626 or 62.6%

Answer:

Lai yee : 45

Khadijah : 15

Step-by-step explanation:

Here is the Explanation

Answer:

1.54

Step-by-step explanation:

88° = 88° × π ÷ 180

= 88° × 3.142 ÷ 180

= 88° × 0.0175

= 1.54

Answer:

Step-by-step explanation:

In order to find the area of the circle base, we need the radius, and we don't have it. We'll use the volume to find the radius, as follows:

[tex]V=\frac{1}{3}\pi r^2h[/tex] and fill in the givens:

[tex]75=\frac{1}{3}\pi r^2(5)[/tex] and solve that for r;

[tex]r=\sqrt{\frac{3(75)}{5\pi} }[/tex] so

r = 3.784698783 and plug that in for the radius to find the area of the circle base:

[tex]A=\pi r^2[/tex] so

[tex]A=\pi (3.784698783)^2[/tex] gives you that

A = 45 meters squared, exactly. No decimal.

Answer:

4√3

Step-by-step explanation:

This is a right triangle. When two sides are given in a right triangle, we need to use the Pythagorean Theorem to solve for the third side.

Pythagorean Theorem: a² + b² = c²

The a here is 11, while the b is x. The c is always the hypotenuse (the longest side), which is 13.

Now we substitute:

11² + x² = 13²

121 + x² = 169

-121           -121

x² = 48

√x² = √48

x = √48 <-- We can simplify that.

√48 = 12 * 4 = 3 * 4 * 4 = 4√3

Hello !

Answer:

[tex]\boxed{\sf x=4\sqrt 3}[/tex]

Step-by-step explanation:

It is a right-angled triangle. To find the value of x, we will have to use the Pythagorean theorem which says that the lengths of the sides of a right-angled triangle satisfy the following equality :

[tex]\boxed{\sf c^2=a^2+b^2}[/tex]

Where :

In this triangle, we can consider a = 11, b = x, and c = 13.

Let's substitute the values of a, b, and c into the formula.

[tex]\sf 13^2=11^2+x^2[/tex]

Now we have to solve the equation to find the value of x.

Let's subtract 11² from both sides and calculate.

[tex]\sf 13^2-11^2=11^2-11^2+x^2\\x^2=13^2-11^2\\x^2=169-121\\x^2=48[/tex]

Reminder : if x² = a (a ≥ 0), then x = ±√a.

Let's apply that to our equation.

[tex]\sf x=\pm \sqrt{48}[/tex]

x represents a distance, it must be positive. The unique solution is:

[tex]\sf x=\sqrt{48}\\\boxed{\sf x=4\sqrt 3}[/tex]

Have a nice day ;)

Answer:

68 words

Step-by-step explanation:

To find how many words Gordon types per minute :

1972 ÷ 29 = 68 #

Answer:

318

Step-by-step explanation:

Let's divide this shape into 2 triangles & 3 rectangles.

Area of Triangle = 1/2 (bh)

(1/2 (9x6) ) x 2   = 54

Area of Rectangles = (9x11) + (8x11) + (7x11)

= 264

264 + 54 = 318km^2

Answered by g a u t h m a t h

Answer:

Step-by-step explanation:

Sin (90 - ∅) = Cos ∅

90 -54 = 36

Sin 36 = Sin (90 - 54)

            = Cos 54      --------->(I)

Now, Sin (36) - Cos (54) = Cos 54 - Cos 54   {From 1}

                                        = 0

2) tan (90-∅) = Cot ∅

Tan 80 = Tan (90 - 10)

            = Cot 10  ----------(II)

Tan 80 - Cot 10 = Cot 10 - cot 10   -----------(from (II)}

                         = 0

Are you korean?

≧∇≦

ฅ'ω'ฅ

Answer:

y = -7

Step-by-step explanation:

y2 - y1 / x2 - x1

-7 - (-7) / -2 - (-3)

0/1

= 0

y = 0x + b

-7 = 0(-2) + b

-7 = 0 + b

b = -7

Answer:

[tex]f(x) = 5 - (x - 4)^2[/tex].

Step-by-step explanation:

[tex]f(x) = 5 - (x - 4)^2[/tex]

[tex]f(x) = 5 - (x-4)*(x-4)[/tex]

[tex]f(x) = 5 - (x^2 - 4x - 4x + 16)[/tex]

[tex]f(x) = 5 - (x^2 - 8x + 16)[/tex]

[tex]f(x) = 5 - x^2 + 8x - 16[/tex]

[tex]f(x) = -x^2 + 8x - 11[/tex].

Hope this helps!

Answer:

1) [tex](\sqrt{25})^{2}[/tex]

------------

2)

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3)

[tex](\frac{49}{64} )^{1/2}[/tex]

→ [tex][\frac{7^{2} }{8^{2} } ]^{1/2}[/tex]

→ [tex][\frac{7}{8} ]^{2\times 1/2}[/tex]

→ [tex]\frac{7}{8}[/tex]

------------

4)

[tex]\sqrt[3]{\frac{27}{125} }[/tex]

[tex]\frac{\sqrt[3]{27} }{\sqrt[3]{125} } =\frac{\sqrt[3]{3^{3} } }{\sqrt[3]{5^{5} } }[/tex]

[tex]=\frac{3}{5}[/tex]

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5)

[tex]32^{1/5}[/tex]

[tex]=(2^{5} )^{1/5}[/tex]

[tex]=2^{5\times1/5}[/tex]

[tex]=2[/tex]

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OAmalOHopeO