Find The area of the parallelogram

Answer:

The formula of this perpendicular line is y = 4x - 2

Step-by-step explanation:

In y = -1/4x+3 the gradient is -1/4.

If two lines are perpendicular, then their gradients will multiply together to give -1.

Use this to find the gradient a of the perpendicular line.

-1/4 * a = -1

a = -1 * -4 so the gradient a of the perpendicular line = 4.

Substitute (2,6) in y = 4x + b, to find the value of b.

y = 4x + b

(2,6)

6 = (4*2) + b

b = 6 - (8)

b = -2

So now we have our equation.

The formula of this perpendicular line is y = 4x - 2

Answer:

24%

Step-by-step explanation:

Answer:

24%

Step-by-step explanation:

t = ???

P = 2,200

I = 528

r = 12%

528 = 2,200(t x 1)

t = 528/2,200

t = 0.24

t = 0.24 x 100 = 24%

You're welcome.

Answer:

Step-by-step explanation:

The given triangular flag has two given sides and an angle. Since the lengths of the sides and the size of the angle are known, it means that Eloise can design only one triangular flag. This is because the lengths cannot be altered. Also, the size of the angle is always the same. If the sizes of the three angles were known and the length of the sides were unknown, different sizes of the triangular flags can be produced with the angles remaining constant.

Answer:

I'm not sure if this is correct, but I would say 2/6. You could further simplify that to 1/3

Step-by-step explanation:

There are 6 CDs, and it is asking the probability that it will play the first song from the first CD, and the first song from the first song from the 6th CD. That is where we get our 2.

Sorry if that was a bad explanation, I have trouble with explaining stuff.

Let me know if this is correct or not-

Answer:

one over six.

Step-by-step explanation:

If the player only play a CD one time.

Then let one decided by six.

Therefore the answer as a fraction is one over six.

Answer:

10lbs. for $10.25

Step-by-step explanation:

Answer:

B 86

Step-by-step explanation:

ABCD = EFGH

A = E

B = F

C = G

D = H

Answer:

if x+y=5, then x=5-y

so x-4y=-10

5-y-4y=-10

5-5y=-10

-5y=-15

y=3

x=5-y

x=5-3

x=2

x=2; y=3

Answer:

45

Step-by-step explanation:

The order in which the items are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

How many possible subsets of 2 items can be chosen from this lot?

Combinations of 2 from a set of 10. So

[tex]C_{10,2} = \frac{10!}{2!(10-2)!} = 45[/tex]

Answer:

45

Step-by-step explanation:

Answer:

Range: 9

Mode: 23

Median: 25.5

Mean: 26.1

Step-by-step explanation:

Arrange the data set from least to greatest.

22, 23, 23, 23, 23, 25, 25, 25, 26, 27, 28, 29, 29, 29, 30, 31

Range: Highest value - Lowest value =

Mode: The most number listed in the data set, or the listed numbers

Median: The middle number

Mean: finding the average of the data set

Range: 31 - 22 = 9

Mode: 23

Median: 25 + 26 = 51/2 = 25.5

Mean: 22 + 23 + 23 + 23 + 23 + 25 + 25 + 25 + 26 + 27 + 28 + 29 + 29 + 29 + 30 + 31 = 418/16 = 26.125 or 26.1

Answer:

15 inches

Step-by-step explanation:

As the square cake was cut in two equal pieces, we have that one side of the rectangle is the double of the other side, so we have that:

2*Length + 2*Width = 45

Length = 2*Width

So using the value of length in the first equation, we have:

4*Width + 2*Width = 45

6*Width = 45

Width = 7.5

Length = 2*Width = 15

So each side of the original cake is equal to the length of the rectangle pieces, that is, 15 inches.

The first four terms in the sequence an=15+6n are 21, 27, 33, and 39.

The correct option is C. 21, 27, 33, 39

From the question, the equation to calculate the nth term is given which is

an=15+6n.

Now, let a1, a2, a3 and a4 denote the first, second, third and fourth terms respectively.

For the first term, a1

n = 1,

From the given equation, an=15+6n

∴ a1 = 15 + 6(1)

a1 = 15 + 6

a1 = 21

∴The first term is 21

For the second term, a2

n = 2,

From the given equation, an=15+6n

∴ a2 = 15 + 6(2)

a2 = 15 + 12

a2 = 27

∴The second term is 27

For the third term, a3

n = 3,

From the given equation, an=15+6n

∴ a3 = 15 + 6(3)

a3 = 15 + 18

a3 = 33

∴The third term is 33

For the fourth term, a4

n = 4,

From the given equation, an=15+6n

∴ a4 = 15 + 6(4)

a4 = 15 + 24

a4 = 39

∴The fourth term is 39

Hence, the first four terms in the sequence an=15+6n are 21, 27, 33, and 39.

The correct option is C. 21, 27, 33, 39

Learn more on sequence here: https://brainly.com/question/24195209

Answer:

D. 4

Step-by-step explanation:

If there are 2 circles drawn in space but not intersecting each other or touching each other at all, there are 4 common tangents.

I hope this helped and have a good rest of your day!

Answer: It decreases by four then go up by six or increase by 6.

Step-by-step explanation:

It shows the alternating increased by 2

It decreases by four then go up by six or increases by 6.

We have given the pattern is

8, 4, 10, 6, 12, 8, 14, ....

We can see that

the first number is 8 and the second is 4

8>4

from 8 to 4 it is decreasing and the 4 to 10 it is increasing and again after 10 it is decreasing a.

Increasing means there is a second number is greater than the first number third number is greater than the second number and so on.

There is two pattern

8,10,12,14....

Increasing by 2

4,6,8.....

Increasing by 2

Therefore it shows the alternating increased by 2.

To learn more about the series visit:

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#SPJ2

Answer:

A = pi (15)^2

Step-by-step explanation:

The diameter is 30

The radius is 1/2 of the diameter

r = d/2 =30/2 = 15

The area of a circle is

A = pi r^2

A = pi (15)^2

A = 225 pi

Answer:B

Step-by-step explanation: 30 is the diameter so we divide it by 2 to get 15 which is the radius. Radius to the power of 2 times pi is how you get area so 15^2 times pie equals area.

Answer:

figure ii

Step-by-step explanation:

counterclockwise is this way >>>

thus making figure 2 the version of circle A spun counterclockwise

Answer:

25

Step-by-step explanation:

5 x3 is 15 and then add 10. im sure u know that but yea

Answer:

B

Step-by-step explanation:

there

Answer: 5.9 cm for both triangles.

Step-by-step explanation:

Hi, since the situation forms 2 right triangles we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse of a triangle (the longest side of the triangle) and a and b are the other sides.  

Replacing with the values given:  

c^2 = 3^2 + 5^2  

c^2 = 9+25

c^2 = 34

c = √34

c = 5.9 cm

Since both triangles are identical ( same side lengths) the hypotenuse is the same for both, 5.9 cm.

Feel free to ask for more if needed or if you did not understand something.  

Answer:

C. Outside the circle

I hope this helps

Answer:

the answer is 290 m3 i hope you guys have a good day today <3

Answer:

C

Step-by-step explanation:

edge

Answer:

baseball my guy

Step-by-step explanation:QUICK MATHS

Answer: baseball is liked less

Step-by-step explanation: its liked less because the common denominator is 15 and whatever you times the bottom by you times the top by. so 2/5 x 3= 6/15<7/15 hope that helped!:)

Answer:

[tex] ME = z_{\alpha/2} \frac{\sigma}{\sqrt{n}}[/tex]

The critical value can be founded in the normal standard distribution table using the value of [tex]\alpha/2 =0.025[/tex] and we got [tex] z_{\alpha/2}=1.96[/tex]. Replacing the info given we got:

[tex] ME = 1.96 \frac{0.73}{\sqrt{60}}= 0.185[/tex]

Step-by-step explanation:

For this case we have the following info given:

[tex] \sigma = 0.73[/tex] represent the population deviation

[tex] \bar X = 84.5[/tex] represent the sample mean

[tex] n =60[/tex] represent the sample size

And we want to find the margin of error for a confidence level of 95%. So then the significance level would be [tex]\alpha=1-0.95 = 0.05[/tex] and [tex]\alpha/2 =0.025[/tex]. The margin of error is given by:

[tex] ME = z_{\alpha/2} \frac{\sigma}{\sqrt{n}}[/tex]

The critical value can be founded in the normal standard distribution table using the value of [tex]\alpha/2 =0.025[/tex] and we got [tex] z_{\alpha/2}=1.96[/tex]. Replacing the info given we got:

[tex] ME = 1.96 \frac{0.73}{\sqrt{60}}= 0.185[/tex]

The answer is D.

For a toss of heads you can have a roll of 1, 2, 3 or 4.

and for a toss of tails you could have a roll of 1, 2, 3, or 4

Answer:

The answer is 1.2 grams.

Step-by-step explanation:  So 1,000 milligrams is 1 gram.   So to get this answer you divide 1200 milligrams by 1000 and that gives you 1.2 grams for 1200 milligrams.

Answer:

[tex]\frac{10}{10}[/tex]    (10/10)

Step-by-step explanation:

to convert 1.00 into a fraction you have to write 1.00 as numerator and put 1 as the denominator.

then, you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

1.00 = 1.00/1 = 10/10

Answer:

7/18

Step-by-step explanation:

First we need to find what values of sum we can have.

The minimum value for a cube is 1, so the minimum value for the sum is 2.

The maximum value for a cube is 6, so the maximum value for the sum is 12.

Now, we find the multiples of 6 and the multiples of 4 between 2 and 12:

4, 6, 8, 12.

To have a sum of 4, we can have the pairs:

(1,3), (2,2), (3,1)

To have a sum of 6, we can have the pairs:

(1,5), (2,4), (3,3), (4,2), (5,1)

To have a sum of 8, we can have the pairs:

(2,6), (3,5), (4,4), (5,3), (6,2)

To have a sum of 12, we can have the pairs:

(6,6)

So we have 14 pairs among the 36 (6 possibilities of each cube, so 6*6=36) total possibilities of pairs, so the probability is P = 14/36 = 7/18

The probability that the outcome of the roll is a sum that is a multiple of 6 or a sum that is a multiple of 4 is,      [tex]P(E)=\frac{14}{36}=\frac{7}{18}[/tex]

The probability of any event is computed as divide number of favourable outcomes by total number of outcomes.

The sum that is a multiple of 6 or a sum that is a multiple of 4  are   4, 6, 8 and 12.

For sum of 4, we can have the pairs = (1,3), (2,2), (3,1)

For sum of 6, we can have the pairs: = (1,5), (2,4), (3,3), (4,2), (5,1)

For sum of 8, we can have the pairs = (2,6), (3,5), (4,4), (5,3), (6,2)

For sum of 12, we can have the pairs = (6,6)

Total number of favourable outcomes = 14

When two distinct number cubes are rolled. then,

Total number of outcomes  [tex]=6^{2}=36[/tex]

The probability that the outcome of the roll is a sum that is a multiple of 6 or a sum that is a multiple of 4,

                  [tex]P(E)=\frac{14}{36}=\frac{7}{18}[/tex]

Learn more:

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Answer:

13

Step-by-step explanation:

To find the unit pay

you first had to do 39/3 (39 divided by 3) and then that answer you get is payment she receives in an hour

hour: 1  |   3

Pays: 13|  39

HOPE IT HELPS:)