A solid oblique pyramid has a regular pentagonal base. the base has an edge length of 2.16 ft and an area of 8 ft2. angle acb measures 30°. a solid oblique pyramid has a regular pentagonal base. the base has an edge length of 2.16 feet and an area of 8 feet squared. point a is the apex and point c is the center of the hexagon. line a b shows the vertical height of the pyramid. triangle a b c is a right triangle with base length of 7 startroot 3 endroot feet. what is the volume of the pyramid, to the nearest cubic foot? 5 ft3 9 ft3 14 ft3 19 ft3

Answer:

60 minutes

Step-by-step explanation:

    Number of problems done, and the time taken to finish them are in proportion.

Let the time taken to finish 40 problems = 'x'

30 : 45 = 40 : x

Product of extremes = 30 *x = 30x

Product of means = 45 * 40

Product of extremes = Product of means

                30 *x    = 45 * 40

                          [tex]\sf x = \dfrac{45*40}{30}[/tex]

                         x = 15 * 4

                          x = 60 minutes

B  = [tex]\left[\begin{array}{ccc}-1&3&2\\2&4&7\end{array}\right][/tex]  if A-B = C and values of A and C is given .

Calculation:

since A-B=C

   so, A-C=B

plugging in the values :-

 [tex]\left[\begin{array}{ccc}-2&2&0\\-5&7&9\end{array}\right] \left[\begin{array}{ccc}-1&-1&-2\\-7&3&2\end{array}\right][/tex]    = B

B  =  [tex]\left[\begin{array}{ccc}-1&3&2\\2&4&7\end{array}\right][/tex]

Hence the value of B is =  [tex]\left[\begin{array}{ccc}-1&3&2\\2&4&7\end{array}\right][/tex]

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The change in temperature was 25 F - (-8F) = 33 F.

Answer:

Explanation:

The change in temperature is the difference between the two temperatures. In our case this is 25 F - (-8F) = 33 F. Notice that the subtracting the negative number changes the sign of the operation and turns it into an addition problem25 F+ 8 F = 33 F.

[tex]a = l \times w \\ a = (10y + 4w)(10y - 4w) \\ a = 10y(10y - 4w) + 4w(10y - 4w) \\ a = 100 {y}^{2} - 40wy + 40wy - 16 {w}^{2} \\ a = 100 {y}^{2} - 16 {w}^{2} [/tex]

ATTACHED IS THE SOLUTION

We have a horizontal translation of 2 units to the right, so the correct option is B.

"The graph of y = f(x) will shift right 2 units."

For any function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N)

if N > 0, the translation is to the left.

if N < 0, the translation is to the right.

In this case we have the function written as:

y = f(x - 2)

So we have N = -2, which means that we have a translation of 2 units to the right.

Then the correct option is B.

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Answer:

500 divided by 2/3 = 500 * 3/2= 750

Step-by-step explanation:

True.

Given the statement 'If the distance from 0 to x on a number line is greater than 5, then -5+x is positive' is True.

For the given question,

The distance from 0 to x on a number line is greater than 5

We write the above statement in mathematical expression form as,

⇒ |x - 0| > 5

⇒ |x| > 5

⇒ x > 5  

We need to determine the value of an expression -5 + x

From (1),

⇒ x > 5  

Subtract -5 from both sides,

⇒ -5 + x = -5 + 5

⇒ -5 + x > 0

From the above expression, we observe that the value of the expression is always greater than 1.

This means the value of an expression -5 + x is positive.

Therefore, the given statement 'If the distance from 0 to x on a number line is greater than 5, then -5+x is positive' is True.

In mathematics, a number line can be described as a figure that symbolizes numbers on a consecutive line. The digits on a number line are positioned successively with equal spacing along its length. It can be infinitely expanded in any direction and is often depicted horizontally.

Absolute value is the distance between a digit and zero on a number line. Since the space is forever positive, the absolute value will always be positive.

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Answer: N > -4

Step-by-step explanation:

Cuz It's Right

The solution for inequality  is n < -4.

The given inequality is −2(n − 3.5) > 15

An inequality will have the sign < , > , ≥ or ≤ instead of an equality in an equation. That is, an inequality compares two quantities on either sides of the inequality sign.

We are asked to solve the inequality  −2(n − 3.5) > 15. That is, to find the possible values for n.

−2(n − 3.5) > 15

Dividing throughout by 2,

-(n - 3.5) > 15/2

⇒ -n +3.5 > 7.5

Subtracting 3.5 from both sides,

⇒ -n > 7.5 - 3.5

⇒ -n > 4

Multiply -1 on both sides of the inequality and the inequality will be reversed,

⇒ n < -4 is the solution for n.

The solution is the values of n less than -4.

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1. The amount donated by the people with same ratio is $40.

2. The amount greater is $40.

From the information, there's a total of $160 in donations from three people and the three donations are in the ratio 5 : 5 : 10.

It should be noted that the amount donated by the people with same ratio will be:

= 5/(5 + 5 + 10) × $160

= 5/20 × $160

= $40

The amount donated by the person with largest ratio will be;

= 10/20 × $160

= $80

Therefore, the difference will be:

= $80 - $40

= $40

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The numerical expression for model the number of miles to Masha runs, jogs or walks will be;

⇒ 1 + 11 + 2

⇒ 14

What is Addition?

Addition in math is the process of combining two or more numbers. Addends are the numbers added, and the result or the final answer.

Now,

Masha is training for marathon.

Masha jogs 1 mile.

And, runs at a fast pace for 11 miles.

And, For finishing by walking she walk 2 miles to cool down.

Now,

The numerical expression for model the number of miles to Masha runs, jogs or walks will be;

⇒ Miles in jogs + miles in runs + miles in walk

⇒ 1 + 11 + 2

⇒ 14 miles.

Therefore,

The numerical expression for model the number of miles to Masha runs will be;

⇒ 1 + 11 + 2

⇒ 14

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The maximum number of seats that might not be filled during her performance is 1738 , the the inequality representing this story is 4000+x≤5738 .

In the question ,

it is given that

Luisa Miller always brings crowds of at least 4,000 people, and

Sydney Opera House can house no more than 5738 people

no more than is represented by the inequality "≤" .

let x be the number of empty seats during her performance .

So, according to the question , the inequality becomes

4000+x≤5738

on solving further , we get

x ≤ 5738-4000

x ≤ 1738

So, maximum number of seats that might not be filled during her performance is 1738 .

When the inequality x ≤ 1738 , will be graphed then the limit will be an closed circle as equal to sign is included in the inequality .

as when the numbers decreases , it move towards left side

So, When the inequality is graphed, the line will have an arrow pointing towards the left .

Therefore , the maximum number of seats that might not be filled during her performance is 1738 ,

the the inequality representing this story is 4000+x ≤ 5738 ,

the limit of graph will be closed circle and arrow will be pointing towards left .

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If ratio of m to n is equal to 5 then, m = 5n

Ratios :- The quantitative relation between two amounts showing the number of times one value contains or is contained within the other are known as ratios.

m/n = 5

m = 5    

Therefore, option b is correct i.e. m = 5.                                    

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The oil he use  in the salad 291.66ml

What is Ratio ?

A ratio displays the multiplicity of two numbers. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.

The formula below can be used to determine how much oil Jack consumes:

Jack uses x amount of mayonnaise to make y amount of salad dressing * (5 / (5 + 7)) ---. (1)

If we change the number of ml of salad dressing Jack prepares in equation (1), we get the following result:

Jack uses 291.66 ml of oil, which is equal to 700ml * (5/ (5 +7))

Hence, it will take 291.66ml of oil

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3x - y = -7 is the required equation of the line, which will bisect the line segment with endpoints (-7, 6) and (5,2).

the equation for the perpendicular bisector of the line  with end points [tex](x_{0},y_{0})\\[/tex] and [tex](x_{1},y_{1})[/tex] are given by:

[tex]2(x_{1} - x_{0})x+2(y_{1}-y_{0})y = x^{2} _{1}-x^{2} _{0}+y^{2}_{1}-y^{2}_{0}[/tex]

in the given case we have,

[tex](x_{0},y_{0})\\[/tex] = (-7,6)

and

[tex](x_{1},y_{1})[/tex] = (5,2)

now substituting the given values in the above equation we get,

2(5-(-7))x + 2(2-6)y = 5²- (-7)² + 2²- 6²

= 24x - 8y = 25 - 49 + 4 - 36

= 24x - 8y = -56

on simplifying by dividing the LHS and the RHS by 6 we get our equation to be,

3x - y = -7

What is a perpendicular bisector?

A line or segment that is perpendicular to another segment and passes through its midpoint is called a perpendicular bisector.

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If the length of a rectangle is 19 feet longer than the width. If the perimeter is 46 feet, The equation for this scenario where "x" represents the width is 2x + 2 (x +19 ) = 46  and the width is 2 feet.

Given data :

Length of a rectangle = 19 feet

Perimeter = 46 feet

Perimeter formula: 2l+2w=P

Let x represent the width

Hence,

2x + 2 (x +19 ) = 46

2x + 2 x +38 = 46

Collect like terms

4x  = 46 -38

4x = 8

Divide both side by 4x

x = 8/4

x = 2 feet

Therefore the equation that was used to find the width  is  2x + 2 (x +19 ) = 46  while the width is 2 feet.

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Answer:

31

Step-by-step explanation:

9+10

19

4+8

12

19+12= 31

assume that y is normally distributed n​ (​, 2​). moving from the mean ​(​) 1.96 standard deviations to the left and 1.96 standard deviations to the​ right then P( -1.96 ≤ Z≤ 1.96) = 0.95

assume that y is normally distributed n​ (​, 2​). moving from the mean ​(​) 1.96 standard deviations to the left and 1.96 standard deviations to the​ right

Given that the z -scores -1.96 and 1.96

we have to find   Probability( -1.96 ≤ Z≤ 1.96)

Probability( -1.96 ≤ Z≤ 1.96) = |A(1.96)+A(-1.96)|

= |A(1.96)+A(-1.96|   (∵A(-Z) = A(Z))

=  0.4750+0.4750

= 2×0.4750

= 0.95

The probability lies between  -1.96 to 1.96

P( -1.96 ≤ Z≤ 1.96) = 0.95

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The number of baby camels at the zoo is 44.

Given: The number of adult camels is 6 and the number of baby camels is 5 for every 6 camels respectively.

To find :We have to find how many baby camels are at the zoo.

Explanation:

Step 1:The ratio of adult camels and baby camels is 6:5

Step 2:Let the number of adult camels = 6x .

Step 3:Let the number of baby camels = 5x

Step 4:It is given that the total number of adult camels and baby camels is 44 at the zoo. So According to the questions,

⇒6x+5x=44

⇒11x=44

⇒x=44/11

⇒x=4

∴The number of adult camels = 6×4

                                               = 24

And the number of baby camels at the zoo.

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Answer: the number in question is 5.5

Step-by-step explanation: brainliest please? i could really use it

Given the information on the problem, we can use the law of cosines to find the length of p with the following equation:

substituting the values at hand, we get the following:

therefore, the length of p is 111 cm

The number that is less than a whole, in 3 decimal places and when rounded to the nearest tenth is 0.78 will be 0.775.

A fraction expressed in a particular way is called a decimal. As an alternative to expressing 1/2, you might write 0.5 instead, with the zero in the ones place and the five in the tenths position. The word decimus, which means tenth in Latin, is derived from the base word decem, or 10.

It should be noted that 0.775 is in 3 decimal places. In this case, the last 5 will be converted and this will become 0.78.

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Answer:

D. 0 ≤ x ≤ 10

Step-by-step explanation:

I took the quiz.

The domain of the function is 0 ≤ x ≤ 10 if the function is f(x) = 20(2)ˣ which represnts the exponential function option (D) is correct.

It is defined as a function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a^x

where a is a constant and a>1

It is given that:

A bacteria is growing by a factor of 2 every hour from 1 p.m. to 11 p.m.

The function is:

f(x) = 20(2)ˣ

The value of x represents the domain of the exponential function.

The domain of the function is:

0 ≤ x ≤ 10

Thus, the domain of the function is 0 ≤ x ≤ 10 if the function is f(x) = 20(2)ˣ which represnts the exponential function option (D) is correct.

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The inequality to find the scores she must make on the final exam to pass the course with an average of 77 or higher is (310 + x) / 5 >= 77.

The meaning is that she should have a score of 75 or higher to pass.

From the information, Shureka washburn has scores of 69,80,71, and 90 on her algebra tests and she must make on the final exam to pass the course with an average of 77 or higher.

Therefore, the inequality to express the information will be:

(69 + 80 + 71 + 90 + x)/5 >= 77

(310 + x) / 5 >= 77

Crops multiply

310 + x >= 77 × 5

310 + x >= 385

x >= 385 - 310

x >= 75

She needs 77 or more in order to pass the course.

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Answer:

0.87 cent

if i did this right.

Step-by-step explanation:

17.50 divided by 2 = 8.75

8.75 divided by 10 = 0.87

60 number of packages needed to have the same number of hamburgers and buns.

In this problem, we are using the concept of Least Common Multiple. The least common multiple (LCM) of two numberts is the smallest number that can be partitioned by both numbers. To have the same number of  buns and hamburgers, we just need to  calculate the least common multiple of 20 and 12

12's Multiples = 12, 24, 36, 48, 60, 72, 90

20's Multiples = 20, 40, 60, 80, 100

Here we can see the common multiple of 20 and 12 is 60, and the LCM of 20 and 12 is 60. Therefore they need to buy  60 packages in order to have the same number of hamburgers and buns

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The price in which Evan bought the car for in 2008 is 75 percentage or £14000

What is Percentage ?

Percentage (%), which is a relative figure used to denote hundredths of any quantity. One percent is represented by the symbol 1%; hence, 100 percent denotes the entire amount, and 200 percent designates double the amount.

Given,

Loss% = 25%

Profit% = 45%

selling price = £15,225

The price of the car before getting the profit of 45%

= 15225 / 145 x 100

= 105 x 100

= 10500

The price of the car before getting the profit of 45% is  £10500

Now, he had a loss of 25%

=100% - 25%

= 75%

So, the price will be

= 10500 / 75 x 100

= 14000

Hence, Evan bought the car for £14000 in 2008

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∠ AEC = ∠ DEB by using the property of the straight lines.

We are given the two lines AB and CD.

We are given that they intersect at point E and both are the straight lines.

Now, we know that, the sum of angles of a straight line will be equal to 180° (straight line property).

Now, For line AB, we get that:

∠ AED + ∠ DEB = 180°    …(1)

For line CD, we get that,

∠AED + ∠ AEC = 180°   … (2)

Now, we will subtract (1) from (2) and we get that:

∠ AED + ∠ DEB - ∠AED - ∠ AEC = 180° - 180°

∠ DEB - ∠ AEC = 0

∠ DEB = ∠ AEC

∠ AEC = ∠ DEB

Hence proved.

Therefore, we get that, ∠ AEC = ∠ DEB by using the property of the straight lines.

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the horizontal asymptote as x tends to infinity that is  approaches positive infinity of \sqrt{4x^2+ 9x} - \sqrt{4x^2 +x} is 2

What do the asymptotes mean?

Definition of asymptote

a straight line associated with a curve such that as a point moves along an infinite branch of the curve the distance from the point to the line approaches zero and the slope of the curve at the point approaches the

slope of the line

[tex]f(x)=\sqrt{4x^2+9x}-\sqrt{4x^2+x} \\\\f(x)=2x(1+\frac{9}{4x}) ^{\frac{1}{2} } -2x(1+\frac{1}{4x})^\frac{1}{2}[/tex]

[tex]f(x)=2x( 1+\frac{1}{2} .\frac{9}{4x} +...... -1 -\frac{1}{2} .\frac{1}{4x} - ......)[/tex]

all the other terms involve 1/powers of x which vanish as x tends to infinity

[tex]f(x)=\frac{9}{4} -\frac{1}{4} +...[/tex]

Hence

[tex]\lim_{x \to \infty} f(x)=2[/tex]

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