How to find the missing dimensions of a prism

Answer:

Option B

Step-by-step explanation:

By applying cosine rule in the given triangle ABC,

BC² = AC² + AB² - 2(AC)(AB)cos(∠A)

BC² = (26)² + (23)² - 2(26)(23)cos(47°)

BC² = 676 + 529 - 815.67

BC² = 389.33

BC = √(389.33)

BC = 19.73

Therefore, Option B will be the correct option.

Answer:

There are 32 outcomes that are possible

Step-by-step explanation:

Answer:

Step-by-step explanation:

B is correct:  We Divide it (the coefficient b) by 2 and square the result.

Answer:

B. Divided it by 2 and square the result.

Answer:

which question you need answered

Step-by-step explanation:

Answer:

If y is inversely proportional to x then y is 3

Answer: 4,000,000,000 mm

Step-by-step explanation:

One kilometer is 10^6 or 1000000 millimeters

So 4000x1000000

4x1 is 4

Annex the zeros. There are 9 zeros.

= 4,000,000,000 millimeters

The distance between the two cities in millimetres of 4,000,000,000 mm

Distance is defined as the length between the two points just like in the question it is the length between the two cities.

We know that:-

One kilometer is 10^6 or 1000000 millimeters

So 4000x1000000

4x1 is 4

Annex the zeros. There are 9 zeros.

= 4,000,000,000 millimeters

Therefore the distance between the two cities in millimetres of 4,000,000,000 mm

To know more about distance follow

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7). 1/(√7-√11)

= 1×(√7+√11)/(√7-√11)(√7+√11)

= √7+√11 / (√7)² - (√11)²

= √7 + √11 / 7 - 11

= √7 + √11 / (-4)

EXPLAINATION:

to rationalize the denominator we multiply the numerator and the denominator by the denominator, but with the opposite sign.

For example - in the first question we multiplied 1 and √7 - √11 by √7 + √11 .

Answer:

5% times 3=15%

4% times 3=12%

15-12=3

1300 times 0.03= $39

39 dollars.

Answer:

option D

Step-by-step explanation:

7 1/2 divided by 3.4 = 10.  

The student will need 10 dance classes to learn the routine.

Answer:

associative property of multiplication

Step-by-step explanation:

I hope this helps you :)

Answer:

I believe it would be A

Step-by-step explanation:

A deck of cards has 52 cards in it, so it cant be C or D, and with all the possibilities it could not be B

Answer:

[tex]X=26[/tex]

Step-by-step explanation:

From the question we are told that:

Co_ordinates of rectangle:

[tex]A(4, 7),\\ B(4, 15),\\C(9, 15),\\D(9,7).[/tex]  

Generally the equation for rectangular Perimeter X is is mathematically given by

[tex]X=2(length+breath)\\X=2L+2B[/tex]

Generally the Length of the rectangle is mathematically given by

[tex]L=(y\ axis\ co-ordinate\ of\ C)-(y\ axis\ co-ordinate\ of\ D)\\or\\L=(y\ axis\ co-ordinate\ of\ B)-(y\ axis\ co-ordinate\ of\ A)[/tex]

Therefore

[tex]L=15-7\\L=8[/tex]

Generally the Breath of the rectangle is mathematically given by

[tex]B=(x\ axis\ co-ordinate\ of\ D)-(x\ axis\ co-ordinate\ of\ A)\\or\\B=(y\ axis\ co-ordinate\ of\ C)-(y\ axis\ co-ordinate\ of\ B)[/tex]

Therefore

[tex]B=9-4\\B=5[/tex]

Generally the rectangular Perimeter X is is mathematically given by

[tex]X=2(8)+2(5[/tex]

[tex]X=26[/tex]

Answer:

36

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Let the number be x, then

First subtract 14 from number x, then

x - 14

Now multiply difference by -2, results -44

(x - 14) × -2 = -44

By solving equation,

-2X + 28 = - 44

- 2X = -44 - 28

X = -72 ÷ -2

x = 36

So, Peter's number is 36.

Answer: Saya benar-benar membutuhkan poin tetapi saya tidak ingin dilaporkan jadi saya meletakkan ini adalah terjemahan untuk bahasa yang berbeda. Saya minta maaf untuk umpan atau apa pun namanya tetapi saya benar-benar membutuhkan poin.

Step-by-step explanation:

Answer:

729 is 3 to the power of 6

Step-by-step explanation:

Answer:729

Step-by-step explanation: 3x3x3x3x3x3=729

Given:

One diagonal of the kite is three times as long as the other diagonal.

The area of the kite is 48 square meters.

To find:

The length of each diagonal.

Solution:

We know that, the area of the kite is:

[tex]A=\dfrac{d_1d_2}{2}[/tex]

Where, [tex]d_1,d_2[/tex] are two diagonals of a kite.

It is given that, one diagonal of the kite is three times as long as the other diagonal.

Let [tex]d_1=3d_2[/tex]. Then the area of the kite is:

[tex]A=\dfrac{3d_2d_2}{2}[/tex]

[tex]A=\dfrac{3d_2^2}{2}[/tex]

The area of the kite is 48 square meters.

[tex]\dfrac{3d_2^2}{2}=48[/tex]

[tex]3d_2^2=2(48)[/tex]

[tex]d_2^2=\dfrac{96}{3}[/tex]

[tex]d_2^2=32[/tex]

Taking square root on both sides, we get

[tex]d_2=\sqrt{32}[/tex]       [It is only positive because side length cannot be negative]

[tex]d_2=4\sqrt{2}[/tex]

Now,

[tex]d_1=3d_2[/tex]

[tex]d_1=3(4\sqrt{2})[/tex]

[tex]d_1=12\sqrt{2}[/tex]

Therefore, the diagonals of the kite are [tex]4\sqrt{2}[/tex] units and [tex]12\sqrt{2}[/tex] units.

Answer:

length = 10

Step-by-step explanation:

Volune =  L W H

H=40

W=8

L=X

40*8*X = 3200

320 X = 3200

X = 10

Volume :      40 x 8 x10 = 3200

Answer: m = -22

Step-by-step explanation:

y=5

x=9

y=m+3x

5=m+3(9)

5=m+27

5-27=m

m=-22

Answer:

x = 3/2 or 1.5.

y = -1/2 or -0.5.

Step-by-step explanation:

Solve for one equation, one variable.

2x + 4y = 1

subtrract 4y from both sides.

2x = 1 - 4y

divide by 2 to get x by itself.

x = 1/2 - 2y

Now that we have this, we can put it into the other equation.

3x - 5y = 7

Substitute variable.

3(1/2 - 2y) - 5y = 7

Distribute the 3.

1.5 - 6y - 5y = 7

Combine terms.

-11y + 1.5 = 7

Subtract by 1.5.

-11y = 5.5

Divide by -11.

y = -1/2, or -0.5.

Now we can find x. Substitute this into the initial equation.

2x + 4y = 1

Substitute variable.

2x + 4(-1/2) = 1

Multiply.

2x + (-2) = 1

Simplify.

2x - 2 = 1

Add 2 to both sides.

2x = 3

Divide by 2.

x = 3/2, or 1.5.

x = 3/2 or 1.5.

y = -1/2 or -0.5.

Answer

what is the equation equal to

Step-by-step explanation:

If thats the only thing they give it is (2x-4)(2x-4)

Answer:

4x - 16

Step-by-step explanation:

2x x 2x = 4x (2x^2)

4 x 4 = 16 (4^2)

You had to distribute that ^2.

Keep the SUBTRACTION sign.

therefore your answer is:

4x - 16

Answer:

5/4 divided by 36?

= 5/144

Answer:

let ratios be (x)

5x+4x=36

9x=36

9x=36

x=4

Step-by-step explanation:

Reflection across Y axis

Answer:

$3,442.40

$3,057.60

Step-by-step explanation:

The computation of the each investment is as follows:

let us assume the one investment be x

And, the other investment be y

So

According to the question

x + y = $6,500

And,

-7x + 8y = $364

Now multiply by 7 in equation 1

7x +  7y = $45,500

-7x + 8y = $364

15y = $45,864

y = $3,057.60

x = $6,500 - $3,0657.60

= $3,442.40

Answer:

25%

Step-by-step explanation:

If you raised it by 50.

[tex]\frac{200}{50} =\frac{100}{y}[/tex]

200 × y = 50 × 100

200y = 5000

200y ÷ 200 = 5000 ÷ 200

y = 25

Answer:

No

Step by step explanation:

a² + b² = c²

6² + 11² = 15²

36 + 121 = 225

157 =/= 225

Answer:

No

Step-by-step explanation:

15 would be the longest angle or, the angle directly across the right angle

To see if this is a right angle, you'd have to do 11²+6², if it was a right angle, the answer would be 15² which it isn't so, it's not a right angle

Answer:

Random numbers for experimental probability. This means that if we roll a die 60 times we can expect each of the six faces to come up.

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

1)

a/c =b/d  where a=27 c=30 b=x d=18

27/30 = x/18

27*18/30=x

16.2 = x

2)

a/c =b/d  where a=2x-5 c=x+11 b=16 d=14

2x-5 / x + 11  = 16 / 14

14(2x-5) = 16(x+11)

28x - 70 = 16x + 176

12x = 246

x = 20.5

3)

6+15 / 7+x  = 7 /6

6(6+15) = 7(7+x)

6*21 = 49 +7x

126 = 49 +7x

77 = 7x

11 = x

4)

3*[(x-6)+3]=[tex]6^{2}[/tex]

3(x-3) = 36

3x-9 = 36

3x = 45

x = 15