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Marat540 [252]
3 years ago
13

Lila forgot the security code for her apartment building. The code is two different digits followed by a capital letter. How man

y different possible codes are there?
A. 2,106
B. 2,340
C. 2,600

Mathematics
2 answers:
Yanka [14]3 years ago
5 0

Answer:B. 2,340

Step-by-step explanation:

The number of digits = 10  [0,1,2,3,4,5,6,7,8,9]

The number of alphabets = 26

Now we are given that the code is two different digits followed by a capital letter.

Therefore, the number of different possible codes there are  :-

=\ ^{10}P_2\times26=10\times9\times26=2340

Hence, there are 2340 different possible codes.

Nataly [62]3 years ago
4 0
<span>10*9*26=2,340
B.2,340

</span>

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A 34-foot pole casts a 30-foot shadow. At the same time, a nearby tree casts a 24-foot shadow. How tall is the tree?
artcher [175]

Answer:

27.2 ft

Step-by-step explanation:

Let's set up a ratio that represents the problem:

Object's Height (ft) : Shadow (ft)

Substitute with the dimensions of the 34 foot pole and its 30 foot shadow.

34 : 30

Find the unit rate:

The unit rate is when one number in a ratio is 1.

Let's make the Shadow equal to one by dividing by 30 on both sides.

Object's Height (ft) : Shadow (ft)

34 : 30

/30  /30

1.13 : 1

Now, let's multiply by 24 on both sides to find the height of the tree.

Multiply:

Object's Height (ft) : Shadow (ft)

1.13 : 1

x24  x24

27.2 : 24

Therefore, the tree is 27.2 feet tall.

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3 years ago
Write a conditional statement that is false but has a true inverse fast please
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Answer:

If two angles are not complementary, then their angles add up to 180 degrees.

Step-by-step explanation:

4 0
3 years ago
Please help FAST I need the answer along with you explaining the steps so I can get it thanks! I’ll give Brainlist also!
kupik [55]

Answer:

The equation of required line is: \mathbf{5x-8y+34=0}

Step-by-step explanation:

We need to write equation in the form Ax+By+C=0 of the line parallel to 5x-8y+12=0 and through the point (-2,3)

First we need to find slope and y-intercept of the required line.

Using equation of line  5x-8y+12=0 to find slope.

Since the given line and required lines are parallel there slope is same.

Writing equation in slope intercept form: y=mx+b where m is slope.

5x-8y+12=0 \\-8y=-5x-12\\\frac{-8y}{-8y}=\frac{-5x}{-8}-\frac{12}{-8}\\y=\frac{5}{8}x+\frac{3}{4}

So, the slope m = 5/8

The slope of required line is m=\frac{5}{8}

Now finding y-intercept using slope m=\frac{5}{8} and point(-2,3)

y=mx+b\\3=\frac{5}{8}(-2)+b\\3=\frac{-5}{4}+b\\b=3+\frac{5}{4}\\b=\frac{3*4+5}{4}\\b=\frac{12+5}{4}\\b=\frac{17}{4}

So, the equation of required line having slope m=\frac{5}{8}  and y-intercept b=\frac{17}{4}

y=mx+b\\y=\frac{5}{8}x+\frac{17}{4}\\y=\frac{5x+17*2}{8}\\y= \frac{5x+34}{8}  \\8y=5x+34\\5x-8y+34=0

So, The equation of required line is: \mathbf{5x-8y+34=0}

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