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2 years ago

Help me for 10 points

Mathematics

1 answer:

frutty [35]2 years ago

3 0

<h3>given:</h3>

edge= 5 in

the surface area of the given cube.

<h3>solution:</h3>

$s.a = 6 {a}^{2}$

$s.a = 6 \times {5}^{2}$

$s.a = 150 \: {in}^{2}$

hence, the surface area of the given cube is 150 square inches. 

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The First National Bank of Zyzzlvaria requires each customer to choose a code comprising four distinct digits from 1 to 5, inclu

jeka94

Answer:

Our answer is 20 codes

Step-by-step explanation:

We can not apply normal permutation or combination to solve this question. Thus we list all the possible cases and count them.

Things to note while making a code:

Rule 1. The four digit code must have distinct digits out of the set {1,2,3,4,5}.

Rule 2. Positive difference between any two consecutive digits must be atleast 2.

Now, we enlist all the codes possible starting with 1:

Because of Rule 1 and 2, the possible starting two digits of code are : 13, 14 and 15.

13 : The third digit can only be 5, Hence 135X. Now, the fourth digit can only be 2. Thus, 1352 (1 code)

14 : The third digit can only be 2. Hence 142X. Now, the fourth digit can only be 5. Hence, 1425 (1 code)

15 : Third digit can be either 2 or 3. When the initial three digits are 152, there are no possible choices for fourth digit. When the initial three digits are 153, the only possible fourth digit is 4. Hence, 1524 (1 code)

Thus there are 3 codes starting with 1.

Proceeding in similar manner for 2,3,4 and 5 as initial digits, we get the following codes:

Initial digit 2 : 2413, 2415, 2531, 2513, 2514 (5 codes)

Initial digit 3 : 3142, 3152, 3524, 3514 (4 codes)

Initial digit 4 : 4253, 4251, 4135, 4153, 4152 (5 codes)

Initial digit 5 : 5142, 5241, 5314 (3 codes)

Thus no. of possible codes : 3+5+4+5+3 = 20 codes

6 0

3 years ago

Describe the nature of the roots for this equation

vitfil [10]

First, fint the roots of the equation $2x^2+5x-7=0.$

$D=5^2-4\cdot 2\cdot (-7)=25+56=81,\\\sqrt{D}=\sqrt{81}=9,\\ \\x_1=\dfrac{-5-9}{2\cdot 2}=-\dfrac{14}{4}=-3.5,\\ \\x_2=\dfrac{-5+9}{2\cdot 2}=\dfrac{4}{4}=1.$

2. You can see that this equation has two different real roots. Note that you can make this statement without finding roots, only knowing the value of discriminant: since D=81>0, then the equation has two different real roots.

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3 years ago

What is a ratio that is equivalent to 12:35?

harina [27]

Answer:

0.3429 is a decimal and 34.29/100 or 34.29% is the percentage for 12/35.

8 0

3 years ago

Read 2 more answers

Find the total surface area of this triangular prism. 21 cm 29 cm 22 cm 20 cm

mixer [17]

Answer:

313

Step-by-step explanation:

First of all you need to find out the surface of the front.

So you need to do 29cm + 29cm = 58cm.

You then have to do 22cm + 22cm = 44cm

So if you add those two numbers up you will get the front surface which is 102cm.

Next, you need to find the surface of the side.

So you need to do 20cm + 21cm = 41cm

After that, you need to find the back surface.

So you need to add 22cm +22cm = 44cm

Then you have to do 21cm + 21cm = 42cm

Add those two together to get 86cm

Then, you need to do the bottom of the shape.

So you need to add 22cm + 22cm (again) = 44cm

You then need to do 20cm + 20cm = 40cm

Add those together to get 84cm

Finally, you need to add 84cm + 86cm + 102cm + 41cm = 313cm

So your answer is:

Surface: 313

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2 years ago

Chandler rides his bike to school every day. He travels 2,560 feet in 640 seconds. How many feet per second did he travel? Expla

Elanso [62]

Answer:

Step-by-step explanation:

if you divide 2,560 by 640 you get 4.

hope this helps you.

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3 years ago