A monument in a park is shaped like a square
pyramid. The dimensions are shown in the net.
3 m
What is the surface area of the monument,
including the base?
2 m
3 m
3 m
2 m
m²
SP......
3 m

Answer:

52

Step-by-step explanation:

Step 1: Our output value is 578.

Step 2: We represent the unknown value with [tex]x[/tex].

Step 3: From step 1 above, [tex]578=100%[/tex]%

Step 4: Similarly, x=9%

Step 5: This results in a pair of simple equations:

578 = 100% (1)

x = 9% (2)

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

578/x = 100% /9%

Step 7: Again, the reciprocal of both sides gives

x/578 = 9 /100

⇒ x = 52.02

Therefore, 9%  578 is  52.02

Round:

Answer: About 52 dog owners are expected to brush their dogs teeth.

Answer:

My bid was $42 less than the winning bid.

Step-by-step explanation:

The winning bid is x.

$28 is 40% of x

0.4x = 28

x = 28/0.4

x = 70

The winning bid was $70.

$70 - $28 = $42

Answer: My bid was $42 less than the winning bid.

Answer:

Unclear.

To find the perimeter you need all three sides of the triangle. You have only given two.

All you need to do is add up all three sides and you have your perimeter.

Formula: P=a+b+c

Answer:

Unknown unless you give the amount of cm for the last side

Answer:

1978 ft (nearest foot)

Step-by-step explanation:

Using the Alternate Interior Angles theorem, we can deduce that the left base angle of the triangle is 32° and the right base angle of the triangle is 23°.

The triangle can be divided into 2 right triangles, both with height of 500ft (see attached diagram).

Using the tan trig ratio, we can calculate the base of each triangle.

[tex]\mathsf{\tan(\theta)=\dfrac{O}{A}}[/tex]

where:

Left triangle

let [tex]x[/tex] = the base length

[tex]\implies \tan(32)=\dfrac{500}{x}[/tex]

[tex]\implies x=\dfrac{500}{\tan(32)}[/tex]

Right triangle

let [tex]y[/tex] = the base length

[tex]\implies \tan(23)=\dfrac{500}{y}[/tex]

[tex]\implies y=\dfrac{500}{\tan(23)}[/tex]

To find the distance between the Soldier Field and Adler Planetarium, simply sum [tex]x[/tex] and [tex]y[/tex]:

[tex]\implies \dfrac{500}{\tan(32)}+\dfrac{500}{\tan(23)}=1978.093447...[/tex]

Therefore, the distance is 1978 ft (nearest foot)

PLEASE MAR BRAINLIEST

Answer: THE TRIANGLE HAS AN AREA OF 25 IN ND THE OTHER SHAPE HAS AN AREA OF 156

Step-by-step explanation:

Answer:

g(x) = (1/4)x^2

Step-by-step explanation:

See attached image

The equation of the given graph is g(x) = (1/4)x². The correct answer is an option (A).

A parabola is a U-shaped curve this is drawn for a quadratic function.

The graph of g(x) = (1/4)x² is a parabola that opens upwards and is wider than the graph of f(x) = x².

The vertex of the parabola is at the origin (0, 0), and the shape of the curve is determined by the coefficient of x², which is 1/4 in this case.

The graph of f(x) = x² is also a parabola that opens upwards, but it is narrower than the graph of g(x) = (1/4)x².

The vertex of the parabola is also at the origin (0, 0), but the curve is steeper because the coefficient of x² is 1, which is greater than 1/4.

Thus, the correct answer is an option (A).

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Answer:

6√2w

Step-by-step explanation:

3√8w - 3√216w + 3√216w

6√2w -18√6w +18√6w

6√2w +0

6√2w

Answer:

The slope of the line is 2/3

Step-by-step explanation:

Answer:

  f(3) = 1

Step-by-step explanation:

The value of f(3) is told by the remainder theorem to be the remainder from division of f(x) by (x -3). That division is shown in the attachment. The remainder is 1, so ...

  f(3) = 1

__

The number at upper left in the synthetic division table is the value of x for which we are evaluating f(x).

_____

Additional comment

When the polynomial is written in Horner Form:

  f(x) = ((x -6)x +13)x -11

the coefficient of x at each point in the evaluation is the same as the number on the bottom row of the synthetic division. The result of the evaluation is the same as the remainder from the division.

Answer:

62

Step-by-step explanation:

6 + 2 is 62 yAAaY

8a)

x = width

x+3 = length, since its 3 ft longer than the width

A = length*width

A = LW

A = (x+3)*x

A = x^2+3x

Set this equal to 108 since this is the area of the rectangle.

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

8b)

x^2+3x = 108

x^2+3x-108 = 0

Use the quadratic formula with a = 1, b = 3, c = -108

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(3)\pm\sqrt{(3)^2-4(1)(-108)}}{2(1)}\\\\x = \frac{-3\pm\sqrt{441}}{2}\\\\x = \frac{-3\pm21}{2}\\\\x = \frac{-3+21}{2} \ \text{ or } \ x = \frac{-3-21}{2}\\\\x = \frac{18}{2} \ \text{ or } \ x = \frac{-24}{2}\\\\x = 9 \ \text{ or } \ x = -12\\\\[/tex]

Ignore the negative solution because we cannot have a negative width.

x = 9 is the width

x+3 = 9+3 = 12 is the length being 3 longer.

The rectangle is 12 ft by 9 ft to get an area of 12*9 = 108 sq ft, which confirms the answer.

Answer:

1) 18m²

2) 25cm²

Step-by-step explanation:

1)

2)

Answers:

A) 2,600 cubes (13 x 40 x 5 = 2,600)

B) 6,600 cubes (11 x 20 x 30 = 6,600)

C) Boxes A and C or boxes B and C

D) 11,200 cubes (13 x 40 x 5) + (11 x 20 x 30) + (8 x 10 x 25) = 11,200

Step-by-step explanation:

Multiply 12600 by -3/4 to determine the amount earned.

*12600 can be put over 1.

Multiply:

[tex] \frac{12600}{1} \times \frac{ - 3}{4} = \frac{37800}{4} [/tex]

Simplify by dividing the fraction by 4:

[tex] \frac{ - 37800 \div 4}{4 \div 4} = \frac{ - 9450}{1} [/tex]

Mikasa has lost $9450.

Answer: There are no possible solutions because

If you were to plot these two equations on the graph you would notice they are parallel because both have the same slope (3x) but still have different intercepts. This means there are no possible solutions as in order to have a solution for x and y they need to intercept and the point of interception is the solution for x and y but that cannot happen in a system of equations that result in parallel lines ( they’ll never intercept)

Answer:

Ø

Step-by-step explanation:

These equations are parallel, meaning they have SIMILAR rate of changes [slopes]. To prove it, convert the second equation from Standard Form to Slope-Intercept Form:

[tex]\displaystyle y - 3x = -13 \hookrightarrow y = 3x - 13 \\ \\ \left \{ {{y = 3x - 13} \atop {y = 3x - 11}} \right.[/tex]

As you can see, both equations have a rate of change of 3, meaning we CANNOT obtain a solution here, therefore we have no solution.

I am joyous to assist you at any time.

The better statistics which can be used to compare the given distributions are mean and standard deviation.

A z-core is also referred to as a standard score and it can be defined as a statistical measure of the distance between a data point (raw score) and the mean, especially when standard deviation units are used.

In Mathematics, z-scores can either be negative or positive and it is generally calculated by using this formula:

[tex]Z=\frac{x\;-\;u}{\delta}[/tex]

Where:

In conclusion, the better statistics which can be used to compare the given distributions are mean and standard deviation.

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Answer:

The answer is A: 27 inches (not squared because it's not area)

Step-by-step explanation:

In a rectangle the angles are [tex]2y[/tex] and [tex]2x[/tex]

let's say [tex]24=x[/tex]

so then:

[tex]2x=48[/tex]

now to solve for [tex]y[/tex]

[tex]102-48=2y[/tex]

[tex]y=27[/tex]

The answer is A: 27 inches (not squared because it's not area)

Answer:

-245

Step-by-step explanation:

multiply 7 and -35 to get your answer.

I hope this helped <3

Answer:

The number is (-245)

Step-by-step explanation:

Let the number be 'x'

x ÷ 7 = -35

[tex]\dfrac{x}{7}=-35\\\\\\Multiply \ the \ entire \ equation \ by \ 7\\\\x =-35*7\\\\x = - 245[/tex]

Answer:

A convex lens converges light and curves outward.

Step-by-step explanation:

A convex lens converges light and curves outward.

We have given that,

A convex lens diverges light and curves inward.

A convex lens diverges light and curves outward.

A convex lens converges light and curves inward.

A convex lens converges light and curves outward.​

We have to determine Which statement describes the characteristics of a convex lens.

A convex lens is a converging lens. When parallel rays of light pass through a convex lens the refracted rays converge at one point called the principal focus.

A convex lens converges light and curves outward.

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Answer:

Cooper's height is 150 cm

Step-by-step explanation:

To find this answer you can divide 180 by 1.2 (1.2 is 120% in decimal form)

Hope that helps!

Answer:

he will have exactly 3 cups

Step-by-step explanation:

1. 3/4 X 4/1 = 12/4

2. 12/4 = 3/1 = 3

Answer: A

Step-by-step explanation:

To construct equilateral triangle in a circle F and G as D. Points F and G are points of intersection of two congruent circles centered at D and E. The correct answer is option A.

The circumscribed circle or circumcircle of a polygon in geometry is a circle that passes through each of the polygon's vertices. This circle's circumcenter and circumradius are its center and radius, respectively.

It should be noted that an equilateral triangle simply means a triangle that has all the sides and angles to be equal.

After drawing the diameter of the circle through the center, it's important to open the compass to a width that's equivalent to the radius of the circle.

In this case, it can be deduced that Points F and G are points of intersection of two congruent circles centered at D and E.

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Answer:

$24.50

Step-by-step explanation:

14/4=3.5

3.5x7=$24.5

Sence it is money you have to add a zero so it would be $24.50!

Answer:

  100 J

Step-by-step explanation:

Kinetic energy is jointly proportional to mass and the square of the velocity.

  KE = 1/2mv²

  KE = 1/2(50 kg)(2 m/s)² = 100 J

Juan has a kinetic energy of 100 joules.

Answer:

-4, x, |-1.5| , -x, |5|, |6|

Step-by-step explanation:

X = -2

-X = 2

|-1.5| = 1.5

|5| = 5

|6| = 6

Answer:

170 degrees

Step-by-step explanation:

The minor arc will always be twice as much as the inscribed angle.