what is the measure of x?

Answer:

Height = 11 inches

Base = 33 inches

Step-by-step explanation:

In this question, we are asked to find the height and base of a parallelogram given the area of the parallelogram.

From the question, we are told that height is 1/3 of base. This means that base is 3 times the height

So if we represent the height with variable h, then the base is 3h

Mathematically the area of a parallelogram can be calculated by the formula

A = bh

Thus ,

363 = h * 3h

3h^2 = 363

divide through by 3

h^2 = 121

h = √121

h = 11 inches

since b = 3h , then b = 3 * 11 = 33 inches

Answer:

Step-by-step explanation:

Quotient means result of division

anything raised to 0 is 1

(-3)^0 = 1

(-3)^2 = -3 * -3 = 9

Quotient = 1/9

Answer:

1/9

Step-by-step explanation:

Answer:

4.123. Rounded to the nearest tenth, you get 4.1 units.

Step-by-step explanation:

I've included a snapshot of my work.

I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!

Step-by-step explanation:

if 2.5kg=£1.40

then 4.25kg=!

then cross multiply

4.25×1.40=2.5

5.95÷2.5kg=£2.38

Answer:

4.25 kg = £2.38

Step-by-step explanation:

The formula for working out the price per quantity is : [tex]\frac{Price}{Amount}[/tex]

To work this out you would first need to convert the mass of 2.5 kilograms into grams. You can do this by multiplying 2.5 by 1000, this gives you 2500 grams. This is because 1 Kg is equivalent to 1000 g and so by multiplying it by 1000 we are converting the kilograms into grams.

Then the next step is to divide the price of £1.40 by the quantity of 2500, this gives you 0.00056. This is because we are working out how much it costs for 1 g of potatoes.

Now that we know the price per gram we can now start working out the price of 4.25 kg. You can do this by first multiplying the mass of 4.25 kg by 1000, this gives you 4250. This is because we are converting the kilograms into grams.

The final step is to multiply the price per gram which is 0.00056 by 4250, this gives you £2.38.

1) Multiply 2.5 by 1000.

[tex]2.5*1000=2500[/tex]

2) Divide 1.40 by 2500.

[tex]1.40/2500=0.00056[/tex]

3) Multiply 4.25 by 1000.

[tex]4.25*1000=4250[/tex]

4) Multiply 0.00056 by 4250.

[tex]0.00056*4250=2.38[/tex]

Answer:

the value of x is 5 .

Step-by-step explanation:

In order to find the value of x, you have to move the unrelated terms to the other side by adding 4 to both sides :

[tex]11 = 3x - 4[/tex]

[tex]11 + 4 = 3x - 4 + 4[/tex]

[tex]15 = 3x[/tex]

Next, you have to divide it by 3 :

[tex]3x = 15[/tex]

[tex]x = 15 \div 3[/tex]

[tex]x = 5[/tex]

Answer:

the answer is attached to the picture

Step-by-step explanation:

hope this helps

Answer:

7.4 x 10^7

Step-by-step explanation:

3.98 x 10^8 - 3.24 x 10^8 = 0.74 x 10^8 (not scientific notation, because it isn't full number)

0.74 x 10^8 ---> 7.4 x 10^7

   - got seven by counting the spaces it moved over (right decrease, while left increases)

Answer:

3.5

Step-by-step explanation:

y = 3.5x – 17

This is in the slope intercept form

y= mx+b where m is the slope and b is the y intercept

The slope is 3.5

Answer:

it is just 64-18=48

Step-by-step explanation:

you have to just keep 64 the same and do the 9*2. And sum those outcomes.

Answer:

(0,-41)

Step-by-step explanation:

You can see that for each 9 units that x goes up, y goes up by 19. If we continue this pattern, it will take 2 more jumps of 9 units for the x value to be 0 or to reach the y intercept. Adding 19 twice to -79 gives -41. Hope this helps!

Answer:

Yes

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

P(A) x P(B) = 35 x 13 = 455

P(A∩B) = 18

=> P(A) x P(B) ≠ P(A∩B).

=> A and B are not independent.

=> Option A (No, because 35(13)≠18) is correct.

Hope this helps!

:)

A and B are not independent because 35(13)≠18), the correct option is A

Independent events and probability can be defined as those occurrences that are not dependent on any specific event.

P(A)=35, P(B)=13, and P(A∩B)=18, are A and B independent.

It is to note here that A and B are the odd number outcome and multiples of 3 respectively. So, P (A ∩ B) = 18

P(D│E) = P (D ∩ E)/ P(B)

P(D│E) = 18/13

Here P(D) = P(D│E) = 18/13, which entails that the occurrence of event E will not be affected by the probability of event D’s occurrence.

Taking A and B as independent events, then P(D│E) = P(D).

Here, A and B are not independent because 35(13)≠18), the correct option is A.

Learn more about probability here;

https://brainly.com/question/11234923

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Answer:

Step-by-step explanation:

We are told that:

D = number of minutes it takes to walk his dog

G = number of minutes it takes to water the garden; and

F = number of minutes it takes to feed his fish

We are required to match the given situations to its respective expressions:

Situation

The total Minutes of the Inside tasks.

The total Minutes of the Outside tasks.

The total Minutes of the tasks involving animals.

The total Minutes of the tasks not involving animals.

Expression

D+F

G+D

G

F

Note

Therefore, the match of the situation and respective expressions are:

Answer:

Total surface area of cuboid (6 faces)

= 7.2 x 3.1 x 2 + 7.2 x 4.8 x 2 + 3.1 x 4.8 x 2 = 143.52 (cm2)

Answer:

Step-by-step explanation:

Total surface area of cuboid (6 faces)

= 7.2 x 3.1 x 2 + 7.2 x 4.8 x 2 + 3.1 x 4.8 x 2 = 143.52 (cm2)

Answer:

She uses [tex]\frac{1}{12}[/tex] of the sheet of paper to make the flower.

Step-by-step explanation:

She cuts 1/2 of a piece of paper.

Of what was cut, she used 1/6 to make a piece.

What fraction of the sheet of paper does she use to make the flower?

A sixth of one half. So

[tex]\frac{1}{6}*\frac{1}{2} = \frac{1}{12}[/tex]

She uses [tex]\frac{1}{12}[/tex] of the sheet of paper to make the flower.

Answer:

27  is  25 %  of  108

Step-by-step explanation:

x*25/100=27 or x=(27*100)/25=108

Step-by-step explanation:

I hope it's correct.. And hopefully you understand those steps and also my horrible writing

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

Explanation:

The center is at (0,2). So (h,k) = (0,2) leads to h = 0 and k = 2.

The radius is 2 units, meaning r = 2.

Plug h = 0, k = 2, r = 2 into the formula below and simplify

[tex](x-h)^2 + (y-k)^2 = r^2\\\\(x-0)^2 + (y-2)^2 = 2^2\\\\x^2 + (y-2)^2 = 4[/tex]

Answer:

You tell them

Step-by-step explanation:

Never stop being postive

Answer:

The result should be:

Order: 8

Angle: 45°

Step-by-step explanation:

-It It takes 8 times to get to the same "original position" (where you originally were, before you start rotating) and every single turn, is 45 degrees:

8 turns to get to the original position.

-To get the angle, divide 360 by 8:

[tex]\frac{360}{8} = 45[/tex]

45° in every single turn.

-So, therefore the results are:

Order: 8

Angle: 45°

Answer:

this isnt 20 points

Step-by-step explanation:

Answer:

1 1/2 i think

Step-by-step explanation:  to find out the batteries price you subtract 2.50  from 1.50 and get 1 then convert to fractions so 1 1/2 and 1 and when you add them together you get the total price so the torch accounts for 1 1/2 of the total price.

Answer:

Third side is 9m.

Step-by-step explanation:

In a right triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides.

15 x 15= 225m2

12 x 12 = 144m2

225 - 144 = 81m2 and the length of the third side is square root of 81, which would be 9m as your final answer.

Answer:

Follow the Pythagoreas theorm. You typically need to find [tex]C^2[/tex], which is the hypotonuse, but because we already know this, we can rearrange the equation to make sense.

Personally, I like to substitute with non-related numbers, such as 1 and 2. In the following example, the sides are 1 unit, 2 units, and 5 units. First, I like to figure out the sum of [tex]a^2[/tex] and [tex]b^2[/tex] .

EX: [tex]1^2+2^2= 5[/tex]

[tex]25^2=5[/tex]

I can rearrange this so that one leg and the hypotenuse are on the same side:

[tex]25^2-1^2=2^2[/tex]

Now I can take out the example numbers, and substiture in the variables.

[tex]c^2-a^2=b^2[/tex]

Now all I have to do is fill in the known variables!

[tex]15^2-12^2=b^2[/tex]

Solve!

[tex]225-144=80[/tex]

We're not done- we have to find the square root of 81!

It's 9m!

Finally, we can check our work by plugging [tex]A^2[/tex] and [tex]B^2[/tex] into the normal equation. It checks out!

[tex]12^{2} +9^{2} = 15^{2} \\=225 =225\\225=225[/tex]

Have questions? Let me know!

Answer: Conditional frequencies enables users to get more specific information when analyzing a dataset.

Step-by-step explanation: Frequency refers to the count of occurrence of a particular variable.

Relative frequency is obtained by taking the ratio of the counts a particular variable and the total counts and of all available variables in the experiment or data.

Conditional Frequency allows us to input additional constraints to our frequency counts, especially in a two-way table. Enabling us to get more specific information by using conditional statements.

Answer:

[tex] \boxed{Length \: of \: each \: side \: of \: cube = 5.2 \: mm} [/tex]

Given:

Volume of cube = 140.608 cubic millimetres

Step-by-step explanation:

Let the length of each side of cube = a

[tex] = > Volume \: of \: cube = {a}^{3} \\ \\ = > 140.608 = {a}^{3} \\ \\ = > {a}^{3} = 140.608 \\ \\ = > {a}^{ \cancel{3}} = {5.2}^{ \cancel{3}} \\ \\ = > a = 5.2[/tex]

Therefore length of each side of cube = 5.2 mm

Answer:

d

Step-by-step explanation:

Given 3 sides of the triangle the area (A) can be calculated using Hero's formula.

A = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]

where s is the semi perimeter of the triangle

s = [tex]\frac{a+b+c}{2}[/tex] = [tex]\frac{4+6+8}{2}[/tex] = [tex]\frac{18}{2}[/tex] = 9 , thus

A = [tex]\sqrt{9(9-4)(9-6)(9-8)}[/tex]

   = [tex]\sqrt{9(5)(3)(1)}[/tex]

   = [tex]\sqrt{135}[/tex]

   ≈ 11.6 units² → d

Answer:

2 apples....................

Answer:

2

Step-by-step explanation:

Tom has 5 apples

Mary takes 3 apples

subtract 3 from 5

3 - 5 = 2

Answer:[tex]1256in^{2}[/tex]

Step-by-step explanation:

The formula to find the radius of a sphere is [tex]4(pi)r^{2}[/tex]

3.14*4*100=1256

I hope this helped

Answer:

Step-by-step explanation:

The correct answer by using divisibility rules is:

a) Exactly one of these statements is false.

Statement 1: If two numbers are co-primes, at least one of them must be prime.

This statement is true. Two numbers are considered co-prime if their greatest common divisor (GCD) is 1. If both numbers are not prime, it means they have factors other than 1 and themselves. In that case, their GCD would be greater than 1, contradicting the definition of co-prime numbers. Therefore, at least one of the two co-prime numbers must be prime.

Statement 2: If a number exactly divides two numbers, then it must also divide their sum.

This statement is false. Just because a  number divides two other numbers, it does not necessarily mean that it will divide their sum. For example, consider the numbers 6, 8, and 14. 6 and 8 are both divisible by 2, but their sum, 14, is not divisible by 2.

Based on the analysis above, exactly one of these statements is false.

Therefore, the correct answer by using divisibility rules is:

a) Exactly one of these statements is false.

Learn more about divisibility rules here:

https://brainly.com/question/10703980

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