What is the area of the figure shown delow?

Step-by-step explanation:

in a square 2 sides with a diagonal creates a right-angled triangle, with the diagonal being the Hypotenuse (the side opposite of the 90° angle).

the diagonal is 3+3 = 6 units long.

let's call the square side length "s".

then we have via Pythagoras

6² = s² + s² = 2s²

36 = 2s²

18 = s²

s = 4.242640687 ≈ 4.2 units

Answer:

a=20

Step-by-step explanation:

a-10+a=30

a+a-10=30

2a-10=30

2a=30+10

2a=40

a=20

Answer:

45

Step-by-step explanation:

Put in '5' where 'x' is

2 (5)^2 - 5 = 45

What is the equation: [tex]2x^2-5[/tex]

What do we want to find: f(5)

To find f(5), we must plug the value '5'

     ⇒ into the 'x' position

        ⇒ f(x)

So: [tex]f(5) = 2(5^2)-5 = 2 * 25 - 5 = 50 -5 = 45[/tex]

Thus f(5) = 45

Hope that helps!

Answer:

Length: 20, Width=34

Step-by-step explanation:

Say the length of the width is w, and the length of the length is l. Then, we can establish an equation of W=2L-6. Since the area of a rectangle is W*L, we can substitute W with 2L-6. If we multiply 2L-6 and L, we get [tex]2L^{2} -6L[/tex]=680. We can simplify this equation by dividing everything by 2. We then get [tex]L^{2}-3L=340[/tex]. If we solve for L, we get 20. Now, we plug 20 into the equation, W=2L-6. Since W=2(20)-6, which simplifies to W=40-6 which is 34, we get a width of 34.

Hope this helps

Answer:

i hope this helps you

Step-by-step explanation:

A line graph is commonly used to display change over time as a series of data points connected by straight line segments on two axes. The line graph therefore helps to determine the relationship between two sets of values, with one data set always being dependent on the other set

Answer:

5

Step-by-step explanation:

because 10 divided by 2 is 5

Answer:

1/16

Step-by-step explanation:

Place x=0 and you can see [tex]\frac{0}{0}[/tex] indefinitness. So you can apply the l'hosptial rule. Its basic you should

[tex]\lim_{x \to \ 0} \frac{g(x)}{f(x)} = \\[/tex]  [tex]lim_{x \to \ 0} \frac{g'(x)}{f'(x)}[/tex] so apply the derivative

[tex]\frac{\frac{1}{x-4} +\frac{1}{\sqrt[4]{(1-x})^3 } }{2x}[/tex] and replace the x=0 and you'll see same answer [tex]\frac{0}{0}[/tex] re-apply the l'hospital rule and answer

[tex]\frac{\frac{-1}{(x-4)^2} + \frac{3}{16\sqrt[4]{(1-x)^7} } }{2}[/tex] and replace the 0 you can see the answer [tex]\frac{1}{16}[/tex]

Answer:

x= 6, -4

Step-by-step explanation:

x^2 - 2x - 24 = 0

(x-6) (x+4) = 0

x = 6, x= -4

Answer:

i don't know this question but you can just measure it

Answer:

  3

Step-by-step explanation:

The "initial value" of a function is the value when the independent variable is zero.

  f(0) = 3(5/4)^0 = 3×1 = 3

The initial value of the function is 3.

Answer:

They'll each want a quarter of a cupcake.

Step-by-step explanation:

The number of people in the family is 14.

The number of cupcakes ordered is 4.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Number of cakes for the family = 3 (1/2)

Number of friends = 2

Now,

Each person's amount of cake = 1/4

The number of people in the family.

= 3(1/2) ÷ 1/4

= 7/2 x 4

= 14

The total number of cupcakes ordered.

= 2 x 1/4 +3(1/2)

= 1/2 + 3(1/2)

= 1/2 + 7/2

= 8/2

= 4

Thus,

There are 14 people in the family.

The total number of cupcakes ordered is 4.

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The complete question is:

Hello, id like to order3 halves of a cupcake for my family plus some extra for my 2 friends.

They'll each want a quarter of a cupcake.

Answer:

x = - 4

Step-by-step explanation:

i hope its helped. thank you !

Answer:

so you should add 6 to 13 in case to find 19, then add 6 to 19 to get to 25.

so the first is 13 and we keep adding 6 to get to the answer. we do it 47 times. so we have 13+ (6) (47) = 295 which is the 48th term.

The 12th term of the arithmetic sequence13, 19, 25,... is 79.

An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference

d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.

In a geometric sequence numbers are written in the same constant ratio(r).

It means every next number is a multiple of a common constant and the previous number.

r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.

Given, an arithmetic sequence 13, 19, 25,...

The first term a₁ = 13 and the common difference is = (25 - 19) = (19 - 13) = 6.

We know nth term of an arithmetic sequence is aₙ = a₁ + (n - 1).d.

∴ The 12th term of this arithmetic sequence is a₁₂ = a₁ + (12 - 1).d

a₁₂ = 13 + (12 - 1).6.

a₁₂ = 13 + 11.6

a₁₂ = 13 + 66.

a₁₂ = 79.

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Step-by-step explanation:

by using formula a+b+c=180

Answer:

C. 9 miles/gallon

Step-by-step explanation:

Answer:

Maybe 10? I'm sure though

Step-by-step explanation:

Answer:

Step-by-step explanation:

Multiples refer to the way their numbers are counted from 1 to 100.

These numbers are multiples of 6.

Multiples of 6 are:

Therefore, the correct answer is C. 6.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

The answer is C.

Step-by-step explanation:

6÷6=1

18÷6=3

24÷6=4

36÷6=6

Answer:

B

Step-by-step explanation:

ED

Step-by-step explanation:

please mark me as brainlest

Answer:

Its B square pyramid

Step-by-step explanation:

Because

Answer: 39.7

Step-by-step explanation:18/55 = 13/x you can get x by solving for it.

When creating a histogram it is best to create a range for the different variables that are available.

So for the sake of covering all the possible ranges from 1 - 22, let's divide it into 5 categories.

0 - 5        6 - 10   11 - 15   16 - 20   21 - 25

Now that we have set ranges for the different variables, we then find the frequencies.

0 - 5  : 3 

6 - 10 : 2

11 - 15 : 3

16 - 20 : 1

21 - 25 : 3

Now that we have all the values we can then create our histogram.

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Answer:

4/8 or 1/2 rows

Step-by-step explanation:

Hope this helps! ^^

Answer:

I think you meant cm, not em. So the answer is 6 cm.

Step-by-step explanation:

18cm x 6cm = 108 cm

The denominator would be x = -3.

Option (A) is correct.

What is the denominator?

A denominator is a bottom number in a fraction. It represents the divisor or the number by which the numerator is being divided.

In this case, the denominator is x^2+6x+9. To find the values of x for which the denominator is equal to zero, we need to set the denominator equal to 0 and solve for x. The equation would be x^2+6x+9=0. By factorizing the denominator we get (x+3)^2=0.

x + 3 = 0

x = -3

Hence, the denominator would be x = -3.

Option (A) is correct.

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Answer:

Step-by-step explanation:

Missing drawing but assumed that:

Since G is the midpoint of HJ, we have:

So

Answer:

24 units

Step-by-step explanation:

IJ = 14 and GH = 12

Gh=gj=12

Hj=2gh

2*12=24

Answer:

g(x) = 6x^2-1

Step-by-step explanation:

f(x)=3/4x^2 −1.

A vertical stretch by a factor of 8 you multiply the number with x by the factor:

3/4 x 8 = 6

g(x) = 6x^2-1

Answer:

193.75in or 193 3/4 in.

Step-by-step explanation:

To find the area, multiply the length x width.

12.5 x 15.5 = 193.75in

:)

Answer:

193.75 inch

Step-by-step explanation:

Area= Length ×Width

12.5*15.5

Answer:

False

Step-by-step explanation:

The sides are not equal