In the first 3 hours of a concert, 2,100 people passed through the gates. How long will it take to fill a concert hall that has 2,800 seats?

Answer:

B. 27<AB<81 seems like the best option. AB got to be bigger than 27.

Step-by-step explanation:

Based on the diagram, possible lengths of side AB are 27 < AB < 81.

Triangle is a polygon in two dimensional geometry. It consists of three sides, three angles and three vertices.

The sum of all the angles inside the triangle is equal to 180 degrees.

We have the Triangle Inequality theorem which states that the third side of a triangle is always less than the sum of the lengths of the other two sides.

So the length of side AB is always less than AC + BC.

AB < AC + BC

AB < 27 + 54

AB < 81

Now from the diagram it is clear that AC is less than AB.

AC < AB

27 < AB

Combining these inequalities, we get 27 < AB < 81.

Hence all the possible lengths of side AB is 27 < AB < 81.

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Answer:

389.7 square inches

Step-by-step explanation:

equilateral triangle = each side has the same lenght

90 inches / 3 = 30 inches each side

----------------------------------------------------------

Pythagoras

30^2 = 15^2 + x^2

900 - 225 = x^2

v 675 = x

25.98 = x

x = height

----------------------------------------------------------

Area = BxH/2

B = 30 inches

H = 25.98

(30 x 25.98) /2 = 389.7 square inches

Answer:

390 in²

Step-by-step explanation:

Length of the sides of the triangle = 90/3 = 30 in

area of a triangle = (base × height)/2

height of an equilateral triangle with sides of length x  [tex]=\frac{\sqrt{3} }{2}x[/tex]

Then the height of our triangle [tex]=\frac{\sqrt{3} }{2} \times30=26[/tex]

Conclusion:

area of the triangle = (30 × 26)/2 = 390 in²

Answer:

AB = 13 meters

Step-by-step explanation:

AB is congruent to AC and AC is 13 meters so that's what AB would be

Answer:

55 minutes

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIST

Answer:

85 minutes

Step-by-step explanation:

if need working than please do ask

Answer:

well its free

Step-by-step explanation:

asdasdasdasd

Rise: -4

Run: 3

Hope it helps.

Do comment if you have any query.

Answer:

The answer is 1.62 ounce

Step-by-step explanation:

Now,

3.6% of his 45 ounce

45 × 3.6 ÷ 100

162 ÷ 100 = 1.62

Thus, Jaydon has eaten 1.62 ounce block of chocolate fudge.

I'm pretty sure it's either D or B, I'm literally so sorry if it's wrong

I think this is the answer .

Answer:

4.4

Step-by-step explanation:

Answer:

[tex]3z {}^{3} \times 12[/tex]

[tex]36z {}^{3} [/tex]

Answer:

5) A - slope is positive, b = 0

6) D - slope is negative, b = 1, function is linear

7) D - b = 0

8) C - slope is negative, b = negative

Step-by-step explanation:

Hope this helps!

Answer:

12,39,21,18,24,17,12,25

Step-by-step explanation:

Use exp/log functions to rewrite y as

[tex]y = (1+x)^{\frac1x} \implies y = \exp\left(\ln\left(1+x)^{\frac1x}\right)\right)[/tex]

One of the properties of logarithms lets us bring down the exponent, so

[tex]y = \exp\left(\dfrac{\ln(1+x)}x\right)[/tex]

Now take the derivative of both sides with respect to x. By the chain and quotient rules,

[tex]\dfrac{dy}{dx} = \exp\left(\dfrac{\ln(1+x)}x\right) \times \dfrac{\frac x{1+x} - \ln(1+x)}{x^2}[/tex]

Simplify:

[tex]\boxed{\dfrac{dy}{dx} = \frac{x - (1+x)\ln(1+x)}{x^2(1+x)} (1+x)^{\frac1x}}[/tex]

Answer:

Step-by-step explanation:

Given is the factored form of a quadratic function.

The standard form is:

Open parenthesis to convert it into standard form:

Answer:

Step-by-step explanation:

Keep in mind that the equation in standard form is y = ax² + bx + c

[Where "a, b, and c" are the constants.]

Simplify the distibutive property:

⇒ y = 3(x - 2)(x - 5)

⇒ y = (3x - 6)(x - 5)

Simplifying the R.H.S using the rule (a + b)(c - d) = ac - ad + bc - bd:

⇒ y = (3x - 6)(x - 5)

⇒ y = (3x² - 15x - 6x + 30)

⇒ y = (3x² - 21x + 30)

⇒ y = 3x² - 21x + 30

If possible, reorganize the equation in standard form:

⇒ y = 3x² - 21x + 30 (In standard form)

volume: 1740 ft³

[tex]\sf volume\ of \ the \ prism = volume \ of \ rectangle \ + \ volume \ of \ triangular\ prism[/tex]

[tex]\sf volume\ of \ the \ prism =length * width * height+ \ \dfrac{1}{2} * base * height * length[/tex]

[tex]\sf volume\ of \ the \ prism =15* 10* 8+ \ \dfrac{1}{2} * 9* 12* 10[/tex]

[tex]\sf volume\ of \ the \ prism =1200+ 540[/tex]

[tex]\sf volume\ of \ the \ prism =1740[/tex]

Answer:

1740 ft³

Step-by-step explanation:

Volume

= Volume of right triangular prism (upper) + Volume of cuboid (below)

= 1/2L₁B₁H₁ + L₂B₂H₂

= 1/2 x 12 x 10 x 9 + 15 x 10 x 8

= 5 x 108 + 120 x 10

= 540 + 1200

= 1740 ft³

Answer:

Integer

Step-by-step explanation:

Essentially Rational numbers are numbers that have decimals or fractions tied to them, negative or positive. EX: 3.66, 2 1/4.

Whole numbers are WHOLE numbers that are positive. They are to the right of zero always. EX: 1, 9, 100,258. There is no decimal or fraction tied to them. This also includes 0.

Integers are essentially a whole number that isn't a fraction. They contain all negative numbers too. EX: -1025, 56, -6.

Here is a better representation of that if you're a visual learner. Hope this helps!

Answer:

multiply length with breadth which is 34 *42

Answer:1'428 sq ft because you multiply 34x42 witch= to 1,428

Answer:

20 Units

Step-by-step explanation:

The question wants us to find the area of the shape.

From looking at the shape, we can easily infer that it is made of 1 square and 1 triangle.

Area of a Square/Rectangle Formula: A = W(L)

Area of a Trangle Formula: A = (1/2)(b)h

A = W(L)+(1/2)(b)h

The base of the traingle can be found by subtracting the longer length (6) from the smaller length (4).

A = 4(4)+(1/2)(2)4

A = 16+(1)4

A = 16+4

A = 20 Units

Answer:

112m

Step-by-step explanation:

A = lw

A = 10(26)

A = 260

1380 - 260 = 1120

1120 = 10(w)

1120 / 10 = 112

Answer:

  (d)  (x + 1)^2 + (y - 4)^2 = 25

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

__

Circle A has its center at point A, so the left side of this equation will look like ...

  (x -(-1))² +(y -4)² = r² . . . . . . using (h, k) = (-1, 4)

where r is the length of segment AC. One way to find the value of r² is to use point C for (x, y):

  (-5 +1)² +(1 -4)² = r²

  16 +9 = r² = 25

Then the equation of the circle is ...

  (x +1)² +(y -4)² = 25

Answer:

Angle AFE = 102(degree symbol)

Step-by-step explanation:

supplementary means two angles that add up to 180

hope this helps! :)

Answer:

The angle supplementary to ∠AFB is ∠EFA.

The reason why this is, is because a supplementary angle consists of two angles that have a sum of 180°.

Supplementary angles combine to form a straight line.

In this case, ∠EFA is the supplement of ∠AFB because, ∠EFA is the other part of the angle, AFB, that creates a full straight line(180°).

And to find the value of m∠EFA you would need to arrange an equation.

Since we know that the given angle measure of AFB is 78°, ∠EFA would have to equal a different measure so that both measures will have a sum of 180°.

We will consider the value of m∠EFA to be 'x' in our equation, so;

x + 78 = 180°

Solve for x:-

-78        -78

x = 102°, therefore m∠EFA = 102°.

If you graph y=7x-9 and y=3x-1 the two lines will intersect at one point.  That is how you graphically "solve" the system of equations.

Both of these lines are of the form y=mx+b where m is the slope and b is the y-intercept.

So for y=7x-9, the slope is 7 and the y-intercept is -9

For  y=3x-1, the slope is 3 and the y-intercept is -1

....

The solution for this system occurs when both coordinates are equal to each other so we can say:

7x-9=3x-1  subtract 3x from both sides

4x-9=-1  add 9 to both sides

4x=8  divide both sides by 4

x=2, making y=3x-1 become:

y=3(2)-1=6-1=5, so the solution to the system of equations is:

(2,5)

Answer:

Part A: If you graph the pair of equations shown above both lines will intersect at one point and that is how you would solve the system of equations graphically. The y intercept and slope for each equation would be for y = 7x − 9 it would have a slope of 7 and y intercept of -9 and y = 3x − 1 would have a slope of 3 and y intercept of -1.

Part B:The solution to the pair of equations is (2,5)

Answer:

hi the answer is true

Step-by-step explanation:

hope it helps

The triangle can be formed using the given line segments. Therefore, the given statement is true.

The triangle inequality theorem describes the relationship between the three sides of a triangle. According to this theorem, for any triangle, the sum of lengths of two sides is always greater than the third side.

Given that, line segments AC=9 units, BC=4 units and AB=11 units.

If a, b and c are the lengths of the sides of a triangle then

If a ≤ b ≤ c, then a + b > c.

9+4>11

13>11

Therefore, the given statement is true.

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Answer:

  -7

Step-by-step explanation:

The slope of the line between two points can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

__

Using the first two points from your list, we find the slope to be ...

  m = (29 -36)/(40-39) = -7/1 = -7

The slope of the line is -7.