All categories

4 years ago

Anyone know the answer?

Mathematics

1 answer:

ANTONII [103]4 years ago

5 0

PKE is a triangle and its interior angles therefor sum to 180deg:

$P+K+E=180$
$90+(x+6)+2x=180$
$96+3x=180$
$3x=84$
$x=\frac{84}{3}=28deg$

You might be interested in

Find an equation of the sphere which contains points A(1, 3, 2) and B(4, 3, 7) and the distance between A and B is equal to the

Marina86 [1]

Answer:

The answer is 8.5=(x-2.5)^2+(y-3)^2+(z-4.5)^2

Step-by-step explanation:

First we need to find diameter of the sphere. The distance point A and point B is:

$d=\sqrt{(4-1)^2+(3-3)^2+(7-2)^2} \\d=\sqrt{3^2+0^2+5^2} \\d=\sqrt{34} \\d=5.83$

d/2=r=2.92

radius of the sphere is 2.92 units

and the center of the sphere is:

C=((4+1)/2,(3+3)/2,(7+2)/2)

C=(2.5,3,4.5)

We can write the equation of the sphere as:

$r^2=(x-2.5)^2+(y-3)^2+(z-4.5)^2\\8.5=(x-2.5)^2+(y-3)^2+(z-4.5)^2$

4 0

3 years ago

what are the minimum first quartile median third quartile and the maximum of the data set? 9,20,4,18,4,18,20,9

den301095 [7]

Answers
1. Minimum = 4
2. First quartile = 6.5
3. Median = 13.5
4. Third quartile = 19
5. Maximum = 20

Explanation
To calculate the measure of central tendency, you first arrange the set of the data in ascending order.
The set of data given will be;
4, 4, 9, 9, 18, 18, 20, 20.

Part 1:
The minimum value of the data is 4.

Part 2:
The first quatile is the median of the lower half which is comprised by:
4, 4, 9, 9

1st quartile = (4+9)÷2
= 13÷2
= 6.5

Part 3:
Median of the data is;

Median = (9+18)÷2
=27÷2
= 13.5

Part 4:
3rd quartile is the median of the upper half which comprises of;
18, 18, 20, 20.

3rd quartile = (18+20)÷2
= 48÷2
= 19

Part 5
The maximum of the set of data is 20.

7 0

3 years ago

What is the quotient? Negative StartFraction 3 over 8 EndFraction divided by negative one-fourth

anyanavicka [17]

Answer:

$\dfrac{3}{2}$

Step-by-step explanation:

We are given 2 fractions.

1st fraction is Negative StartFraction 3 over 8

i.e.

$-\dfrac{3}{8}$

2nd fraction is negative one-fourth

i.e.

$-\dfrac{1}{4}$

We have to find the quotient when 1st fraction is divided by 2nd fraction.

Definition of quotient is given as:

Quotient is the result obtained when one number is divided by other number.

$-\dfrac{3}{8} \div -\dfrac{1}{4} \text{ is to be calculated.}$

$\div$ is converted to $\times$ and the 2nd fraction is reversed i.e.

if the fraction is $\frac{p}{q}$ it becomes $\frac{q}{p}$ and the sign $\div$ is changed to $\times$ .

Solving above:

$-\dfrac{3}{8} \times -\dfrac{4}{1}\\ \text {Multiplication/Division of 2 negative number gives a positive number}\\\Rightarrow \dfrac{3}{2}$

So, the quotient is $\frac{3}{2}$ .

6 0

3 years ago

Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify t

CaHeK987 [17]

Answer:

yeah

Step-by-step explanation:

i was thinking the same thing thank you

4 0

3 years ago

Speed = distance divided by time taken. car 1 travels 10 miles every 5 minutes. car 2 travels 30 miles every 20 minutes. what is

Setler [38]

Car 1
2 miles............................1 minute
10 miles.........................5 minutes
20 miles.........................10 minutes
40 miles..........................20 minutes
car2
1.5 miles...........................1 minute
15miles.............................10 minutes
30 miles...........................20 minutes
the difference is 0.5 miles per minute

0.5*60=30 miles/hour

5 0

3 years ago