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AlekseyPX
4 years ago
9

The area of a trapezoid is 864 cm2. It has a height of 24 cm, and the length

Mathematics
1 answer:
Darina [25.2K]4 years ago
7 0

Answer:

Length of other base = 42 cm

Step-by-step explanation:

h = 24 cm

One of its base a = 30 cm

Area=864cm^{2}\\\\\frac{(a+b)*h}{2}=864\\\\\frac{(30+b)*24}{2}=864\\\\(30+b)*12=864\\\\30+b=\frac{864}{12}\\\\30+b=72

b = 72 - 30

b = 42 cm

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A fort had enough food for 120 soldiers for 200 days. After 5 days 30 soldiers leave the for . How long will the remaining food
liubo4ka [24]

Answer:

The answer is 260 days.

Step-by-step explanation:

120 Men - 195 days          (provision left after 5 days)

          30 men left the fort

          Men left - 90     Days - D

         so 120 x 195 = 90 x D

         D= 260 days

Hope you find this useful!

7 0
3 years ago
The numbers 5, 6, 7, and 8 are randomly arranged to create a four-digit number. What is the probability that the number formed i
myrzilka [38]

Using the <u>arrangements and the probability concept</u>, it is found that there is a 0.75 = 75% probability that the number formed is not divisible by 4.

  • A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.
  • The number of possible arrangements of n elements is given by A_n = n!

In this problem, there are 4 elements, hence n = 4, T = A_4 = 4! = 24.

A number is a multiple of 4 if the <u>number composed by it's last 2 digits are multiples of 4</u>.

  • Hence, the possible options for the last 2 digits are: 56, 68, 76.
  • For each of them, there are A_2 = 2! = 2 options for the first 2 digits, hence, there will be 2 x 3 = 6 multiples of 4.

The other 18 numbers formed are not divisible by 4, hence:

p = \frac{18}{24} = 0.75

0.75 = 75% probability that the number formed is not divisible by 4.

For more on <u>arrangements and probabilities</u>, you can check brainly.com/question/24437717

5 0
2 years ago
Help ASAP Ill mark brainliest
Shkiper50 [21]
The answer is letter D
6 0
3 years ago
How to solve In 14 + In x = 0
EastWind [94]

Answer:

x = 1/14

Step-by-step explanation:

You can work it as is by subtacting ln(14), then taking antilogs:

ln(x) = -ln(14)

x = 14^-1

x = 1/14

___

Or you can rewrite to a single log and then take antilogs:

ln(14x) = 0

14x = 1

x = 1/14 . . . . . divide by the coeffient of x

7 0
3 years ago
What does 93.34 ÷ 18.69​
uysha [10]

Answer:4.99

Step-by-step explanation:

Use a calculator

Don't equations like this take too long by hand

7 0
3 years ago
Read 2 more answers
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