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Evgen [1.6K]
2 years ago
13

Consider a triangular prism. The triangular end has a base of 4 cm and height of 5 cm. The length of each side is 6 cm and the h

eight of the prism (length of the rectangle) is 10 cm. What is the surface area of this triangular prism?
A) 120 cm2 B) 180 cm2 C) 190 cm2 D) 200 cm2

A cylinder has a surface area of 150π inches2. What is its height if the radius is 5 inches?A)5 inchesB)10 inchesC)5 π inchesD)10π inches
Mathematics
1 answer:
AysviL [449]2 years ago
4 0
B.)10 inches 
----------------
you need to plug in 10
----------------
thats if you don't know what to do
---------------
the easy way
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Expand the binomial<br> <img src="https://tex.z-dn.net/?f=%28x-%5Cfrac%7B2%7D%7B5%7D%29%5E%7B2%7D" id="TexFormula1" title="(x-\f
kkurt [141]

Answer:

(x- \frac{2}{5})^{2} = x^2 -\frac{4}{5}x + \frac{4}{25}

Step-by-step explanation:

You have two methods to expand this binomial.

Method 1  

If you have the expression:

(x- \frac{2}{5})^{2}

You can write the expression it in the following way:

(x-\frac{2}{5})^{2}=(x-\frac{2}{5})(x-\frac{2}{5})

Then, apply the distributive property:

(x-\frac{2}{5})(x-\frac{2}{5}) = x^2 -\frac{2}{5}x -\frac{2}{5}x+ (\frac{2}{5})\frac{2}{5}

Simplify the expression:

(x-\frac{2}{5})^2= x^2 -\frac{4}{5}x+ (\frac{4}{25})

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

Method 2

For any expression of the form:

(a-b)^2

Its expanded form will be:

(a-b)^2= a^2 -2ab + b^2

If

a = x

b =\frac{2}{5}

(x- \frac{2}{5})^{2} = x^2 - 2x\frac{2}{5} + (\frac{2}{5})^2

(x- \frac{2}{5})^{2} = x^2 -\frac{4}{5}x + \frac{4}{25}

3 0
3 years ago
Which fraction is equal to k in the equation below? <br>1\3 / 2= k
Nitella [24]

Answer:

0_10 =0_2

Step-by-step explanation:

Convert the following to base 2:

0_10

Hint: | Starting with zero, raise 2 to increasingly larger integer powers until the result exceeds 0.

Determine the powers of 2 that will be used as the places of the digits in the base-2 representation of 0:

Power | \!\(\*SuperscriptBox[\(Base\), \(Power\)]\) | Place value

0 | 2^0 | 1

Hint: | The powers of 2 (in ascending order) are associated with the places from right to left.

Label each place of the base-2 representation of 0 with the appropriate power of 2:

Place | | | 2^0 |  

| | | ↓ |  

0_10 | = | ( | __ | )_(_2)

Hint: | Divide 0 by 2 and find the remainder. The remainder is the first digit.

Determine the value of 0 in base 2:

0/2=0 with remainder 0

Place | | | 2^0 |  

| | | ↓ |  

0_10 | = | ( | 0 | )_(_2)

Hint: | Express 0_10 in base 2.

The number 0_10 is equivalent to 0_2 in base 2.

Answer: 0_10 =0_2

8 0
3 years ago
What is the difference of (5 + 3i) and (2 + 9i)?
ehidna [41]

Answer:

3+12i

Step-by-step explanation:

The difference of 5+3i and 2 + 1999 can be calculated as follows

= 5+3i - 2+9i

Collect the like terms

= 5-2+3i+9i

= 3+12i

Hence the difference of 5+3i and 2+9i is 3+12i

7 0
3 years ago
Drag each tile to the correct box.
Stolb23 [73]

Answer:

Step-by-step explanation:

5 0
3 years ago
Given the following geometric sequence, find the common ratio: {3, 18, 108, ...).
vodomira [7]
Geometric sequences go up due to a common ratio. Here the common ratio can be worked out by dividing a term by its previous term e.g term 2 divided by term 1.

18/3 = 6&#10;

Therefore the common ratio is 6.
4 0
3 years ago
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