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3 years ago

Parallelogram ABCD is a rectangle. if AB = 12.5 units and AD = 2.5 units, what is the area of ABCD

2 answers:

6 0

ABCD is a rectangle.
AB = 12. 5 units
AD = 2.5 units

Area = Length x Width

Area = 12.5 x 2.5 = 31.25 units²

Answer: 31.25 units²

mylen [45]3 years ago

4 0

Given => ABCD is a rectangle.
Where AB(length) = 12.5 units
AD(breadth) = 2.5 units

Area of rectangle = length × breadth

= 12.5 × 2.5

= 31.25 unit²

Hope this helps!

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A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally likely to be rolled. What is the

love history [14]

There are three numbers less than 4 that are on this die: 1, 2, and 3. These are the desired outcome, so this will be our numerator.

There are 12 total numbers on the die, so there are 12 possibilities of rolling the die. This will be the denominator.

This becomes 3/12, which can be simplified to 1/4.

Hope this helps!

5 0

3 years ago

This is the two that go together, but are separate questions

ira [324]

Answers:

Option 1)

6a + 8s = 102

14a + 4s = 150

each adult ticket costs 9 dollars

===================================================

Explanation:

6 adult tickets and 8 student tickets bring in $102, so that means 6a+8s = 102

14 adult tickets and 4 students tickets bring in $150, so 14a+4s = 150

The system of equations is

$\begin{cases}6a+8s = 102\\14a+4s = 150\end{cases}$

If we multiply both sides of the second equation by -2, we get this updated system

$\begin{cases}6a+8s = 102\\-28a-8s = -300\end{cases}$

Add the equations straight down

6a+(-28a) = -22a

8s+(-8s) = 0s = 0 ... the 's' terms go away

102+(-300) = -198

So we end up with the equation -22a = -198 and that solves to a = 9 after dividing both sides by -22.

Each adult ticket costs $9

If you want the value of s, then

6a+8s = 102

6(9)+8s = 102

54 + 8s = 102

8s = 102-54

8s = 48

s = 48/8

s = 6

Meaning each student ticket costs $6

Or you could use the other equation

14a+4s = 150

14(9)+4s = 150

126+4s = 150

4s = 150-126

4s = 24

s = 24/4

s = 6

We get the same value of s

5 0

3 years ago

PLEASE HELP, URGENT

yaroslaw [1]

<span>16 / 4^3 = 4^n
4^2 / 4^3 = </span>4^n<span>
4^-1 = 4^n
-1 = n or n = -1

answer
n = -1</span>

4 0

3 years ago

Read 2 more answers

Q1. Ten percent of the items produced by a machine are defective. A random sample of 100 items is selected and checked for defec

Tcecarenko [31]

Answer: 0.030

Step-by-step explanation:

Given: The percent of the items produced by a machine are defective : $P=10\%=0.10$

The percent of the items produced by machine which are not defective: $Q=1-0.1=0.9$

Sample size : n = 100

Now, the standard error of the proportion is given by :-

$\text{S.E.}=\sqrt{\dfrac{0.1\times0.9}{100}}\\\\\Rightarrow\text{S.E.}=0.030$

Hence, the the standard error of the distribution of the sample proportions=0.030

7 0

3 years ago

What is the slope of a line that is perpendicular to the line whose equation is 2x + y = 4

wel

The slope of the line of the equation given is -2 (by solving for y, you get y = -2x+4).

So, in order to be perpendicular, you must take the negative reciprocal.

The slope would be -1/2.

6 0

3 years ago

Read 2 more answers