solve the equation and show the process

2 + 2 x 45/5

The volume of pyramid is 9.16×10⁷ feet³.

We are given the measure of each side of Great Pyramid, which will be it's length and width. Also, we are given height. The formula for calculation of volume of pyramid is -

Volume = (length×width×height)÷3

Keep the values in formula to find the volume of Great Pyramid

Volume = (756×756×481)÷3

Performing multiplication on Right Hand Side of the equation to find the volume of Great Pyramid-

Volume = 274908816÷3

Solving the Right Hand Side of the equation, by performing division, we get the volume of Great Pyramid -

Volume = 9.16×10⁷ feet³

The volume of Great Pyramid is 9.16×10⁷ feet³.

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The fraction for 0.1515... is 5/33

It is possible to convert non terminating decimals to fraction. Because decimals are originally obtained from fractions itself.

If we have a terminating decimal number, by multiplying and dividing with powers of 10 gives a fraction.

For example, for the decimal 0.25, multiply and divide it with 100 which gives, 25/100 = 1/4.

Now we need to find the fraction corresponding to the decimal 0.1515..

Let x = 0.1515...

First we take 100x = 15.1515...

Now we can subtract the decimal part completely from 15.1515... since it is non terminating.

Now, 100x - x = 15.1515..- 0.1515.. = 15

Therefore, 99x = 15

and x = 15/99 = 5/33

So 5/33 is the fraction for the decimal 0.1515...

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Answer:

Option B

Step-by-step explanation:

→ Find the option with the smallest power

Option B

Using Venn sets, it is found that:

For this problem, we consider the following sets:

2 are taking all subjects, hence:

(A ∩ B ∩ C) = 2.

8 are taking chemistry and math, hence:

(A ∩ C) + (A ∩ B ∩ C) = 8.

(A ∩ C) = 6.

6 are taking math and english, hence:

(A ∩ B) + (A ∩ B ∩ C) = 6.

(A ∩ B) = 4.

4 are taking chemistry and english, hence:

(B ∩ C) + (A ∩ B ∩ C) = 4.

(B ∩ C) = 2.

15 are taking chemistry, hence:

C + (A ∩ C) + (B ∩ C) + (A ∩ B ∩ C) = 15.

C + 6 + 2 + 2 = 15.

C = 5.

20 are taking english, hence:

B + (A ∩ B) + (B ∩ C) + (A ∩ B ∩ C) = 20

B + 4 + 2 + 2 = 20

B = 12.

18 are taking math, hence:

A + (A ∩ B) + (A ∩ C) + (A ∩ B ∩ C) = 18

A + 4 + 6 + 2 = 18

A = 6.

There is a total of 40 students, hence:

None + A + B + C + (A ∩ B) + (A ∩ C) + (B ∩ C) + (A ∩ B ∩ C) = 40.

None + 6 + 12 + 5 + 4 + 6 + 2 + 2 = 40.

None + 37 = 40.

None = 3.

Hence:

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The equation of the line in slope-intercept form with a slope of 1/2 and y-intercept of (0 , 0) is y = 1/2 x.

The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.

The slope-intercept form of the equation of a line is given by the formula:

y = mx + b

where m is the slope of the line

b is the y- intercept

Given that the slope of the line is 1/2 and the y-intercept is (0 , 0), write the equation of the line by simply plugging in its values.

y = mx + b

y = (1/2)x + 0

y = 1/2 x

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The distance of AO and BO are the same so the given triangle will be an isosceles triangle.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

The given vertices are making a triangle as shown below in the figure.

Distance between A(5,12) and O(0,0) is

⇒ [tex]\sqrt{(5 - 0)^2 + (12 - 0)^2}[/tex]

⇒ 13

Distance between B(13,0) and O(0,0) is

⇒ [tex]\sqrt{(13 - 0)^2}[/tex]

⇒ 13

Since the two sides are the same so triangle will be isosceles.

Hence "The distance of AO and BO are the same so the given triangle will be an isosceles triangle".

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Answer:

49 cards in each binder

Step-by-step explanation:

If there are 5 binders and each binder contains the same amount of cards, you can just do 245 divided by 5 which gives you 49.

Step-by-step explanation:

or, x + 65° = 180° [ Being Straight line]

or, x = 180° - 65°

or, x = 115°

Therefore the value of x is 115° .

Now,

or, 4x = 4 × 115° = 460° .

Step-by-step explanation:

we must want to find C

Answer:

English: 48 minutes

Math: 54 minutes

Biology: 18 minutes

Step-by-step explanation:

Set up each subject with the variable x as the biology homework.:

English: (x+30)

Math: (3x)

Biology: (x)

Now add them together and set it equal to 120 (2 hours into minutes):

x + 30 + 3x + x = 120

Move 120 over to the left and simplify:

5x - 90 = 0

Solve:

5(x - 18) = 0

x - 18 = 0

x = 18

So biology is 18 minutes, and then plug 18 in for all the other subjects:

English: 18+30=48 minutes

Math: 3*18=54 minutes

Biology: 18 minutes

Answer:

[tex]5\sqrt{5}[/tex] = ~11.18

Answer:

6^5 is equals to 7776 and 7776×6^-5 is equals to 1

Answer:

(6x² - 5)(x² + 2)

Step-by-step explanation:

6x⁴ - 5x² + 12x² - 10

(6x⁴ - 5x²)  (12x² - 10)

x²(6x² - 5) + 2(6x² - 5)

(6x² - 5)(x² + 2)

I hope this helps!

Answer:

Step-by-step explanation:

So we have 6x4-5x2+12x2-10

So we are going to add same elements

-5x2+12x2=7x2

so now we have

6x4 +7x2-10

Let u=x2

6u2+7u-10

Now we factor

(6u-5)(u+2)

Replace x2 for u

(6x2-5)(x2+2)

Hope this helps!^^

Answer:

x=6.24

Step-by-step explanation:

cos 78° =adj/hyp=x/30

cos 78° =x/30

x=cos 78°×30

x=0.2079×30

x=6.237350725

to the nearest hundredth

x=6.24

By combining the like terms, the simpler form of expression -(8a+3b)+10(2a-5b)  is 12a-53b

Given,

The expression = -(8a+3b)+10(2a-5b)

Expand the terms

-(8a+3b)+10(2a-5b)= -8a-3b+20a-50b

Combining like terms

-8a-3b+20a-50b = 12a-53b

Hence, by combining the like terms, the simpler form of expression is -(8a+3b)+10(2a-5b) 12a-53b

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Answer:

Step-by-step explanation:

cos(30) x tan (60) + sin (30) = (√3)/2 x √3 + 1/2 = 3/2 + 1/2 = 4/2 = 2

Answer:B. The number is composite. Its prime factors written as a product are (5*3^3*2^2)

Step-by-step explanation:

Since 540 is an even number, that means it can be divided by 2. This means that the number is composite.

You can keep dividing it by 2 until you can't anymore.

Once you divide 540 by 2 twice, then you get 135.

You can divide it by 5 because the ones digit is 5.

Then you get 27, which is 3 times itself 3 times.

You finally multiply the numbers you divided by, and you get 2*2*5*3*3*3, which is 5*3^3*2^2.

here you go :) explanation up top

Answer:

17

Step-by-step explanation:

[tex]\left[\begin{array}{ccc}9-6\\\end{array}\right]+\left[\begin{array}{ccc}-5-(9)\\\end{array}\right][/tex]

=3+14

=17

One year from now, there are 300 freshmen, 1425 sophomores, 1375 students that transferred out, and 3900 students graduated.

Each category is based on the percentages given, 25% of students transfer, 15% have to repeat the year, and 60% complete the year and the fact that once a student has transferred or graduated they have a 100% chance of staying classified that way.

Percentage, which was adapted from the Latin word "per centum", which means "by the hundred", is a fraction or a ratio in which the value of whole is always 100. It is represented by the symbol "%".

If currently there are 2,000 freshmen, 1,500 sophomores, 500 students that have transferred, and 3,000 graduates,

Among the 2000 freshmen, 25% of students transfer, 15% have to repeat the year, and 60% complete the year.

students who transfer = 25% of 2000 = 500

freshmen(repeater) = 15% of 2000 = 300

sophomore = 60% of 2000 = 1200

Among the 1,500 sophomores, 25% of students transfer, 15% have to repeat the year, and 60% complete the year.

students who transfer = 25% of 1500 = 375

sophomore(repeater) = 15% of 1500 = 225

students who graduated = 60% of 1500 = 900

Adding the total number of sophomores(freshmen who completed the year and sophomores that have to repeat the year)

sophomores = 1200 + 225 = 1425

Adding the total number of students who transfer,

500 + 500 + 375 = 1375

Adding the total number of student that graduated,

3000 + 900 = 3900

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The maximum and the minimum weight for the bags of sand are 36 and 35 pounds respectively

Here, we have

Weight = 35 pounds

Labeled weight = within 8 ounces

Convert ounce to pounds

So, we have:

Labeled weight = within 0.5 pound

The equation is then represented as

|x - 35| = 0.5

Where x represents the labeled weight

In (a), we have

|x - 35| = 0.5

Expand

x - 35 = 0.5 and x - 35 = -0.5

Add 35 to both sides

x = 36 and x = 35

Hence, the maximum and the minimum weight for the bags of sand are 36 and 35 pounds respectively

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The two angles are 45° and 135°.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.

Given:

One of the same side angles of two parallel lines is three times the other angle.

According to given question we have

Let the smaller side= x,

The larger side = 3x.

The two angles are supplementary.

x + 3x = 180°

4x = 180°

Divide by 4 on both sides we get,

x = 45°

3x = 135°

Therefore,  the two angles are 45° and 135°.

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Answer:

5 50bw syfnauw dux fyq euw eywvr6b

Answer:

s = 8 cm

Step-by-step explanation:

the area (A) of a square is calculated as

A = s² ( s is the side length )

given A = 64 cm² , then

s² = 64 ( take square root of both sides )

s = [tex]\sqrt{64}[/tex]

s = 8 cm

In the given triangle the statement that holds true is [tex]b^2+c^2 < a^2[/tex]. Therefore, the option (c) is the correct option.

In the cosine formulas, the cosine (cos) function is discussed. Consider a right-angled triangle with one acute angle, x. The cosine formula is cosx = (adjacent side) / (hypotenuse), where "adjacent side" refers to the side adjacent to angle x and "hypotenuse" refers to the longest side of the triangle.

As per cosine rule fore given [tex]$\triangle$[/tex]ABC:

[tex]$\cos \theta=\frac{b^2+c^2-a^2}{2 b c}$$$[/tex]

According to the question;

For a given [tex]$\triangle$[/tex]ABC;

cos e < 0.

Therefore, [tex]\quad \frac{b^2+c^2-a^2}{2 b c} < 0 \\[/tex]

[tex]b^2+c^2 < a^2[/tex]

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Answer:

6²

Step-by-step explanation:

6² is 6×6 which is 36

if you write it as 6² then:

6²=6^x

since the bases are equal you can cancel out the bases and it becomes:

x=2

Answer:

a. 6^2

Step-by-step explanation:

A because six times itself is equal to 36.

Answer:

140 miles

Step-by-step explanation:

Let's solve the equation step by step,

Step 1: Substract the daily charge of $25 from $39

➟ $39 - $25

➟ $14 {remaining cost except daily rate}

Step 2: Divide $14 by cost per mile

➟ $14/0.10

➟ 140 {total mile driven}

∴ He/she drove 140 miles

Answer: 140 Miles

Step-by-step explanation:

39-25= 14

14/.10 = 140