What is the surface area of the model, including the bottom face?

Answer:

41 degrees

Step-by-step explanation:

Angles in a triangle add to 180 degrees, so angle A is 180-108-31=41 degrees.

Step-by-step explanation:

the domain is the interval or set of all valid x-values for the function.

and the range is the interval or set of all valid y-values (functional result values) for the function.

so, we can see here that the function would create results for all x in (- infinity, + infinity). that is the domain.

now, what result values (y-values) are possible ?

we see, that the smallest functional value is y = -2.

and from there all y-values up to +infinity are possible.

so, the range is [-2, +infinity).

please consider the chosen brackets. the "[" means the value is included in the function, a "(" means that that particular interval end value is excluded. anything bigger or smaller might be valid but not this one value.

and infinity is not a value. hence they are not included in such intervals.

Answer:

Dina swam for 37 minutes

Step-by-step explanation:

Dina started swimming at 3:38 p.m

There are 60 minutes in a hour so 60 - 38 = 22

22 is the remaining time in the hour she swam

She swam until 4:15 p.m.

She swam 15 minutes pass the hour

Total Time: 22 minutes + 15 minutes = 37 minutes

Answer:

The Answer is: -3.

Step-by-step explanation:

I just took the quiz and I got it right!!

Answer:

363

Step-by-step explanation:

11x11=121

((11x11)÷2)x4=11x11x2=121x2=242

121+242=363

Answer:

50% of a number means that we are taking half of a number.  Since 11 is 50% of a number that means that we need to multiply 11 by 2 to get the original number.  When we multiply 11 by 2 we get 22 and that is closest to option A which is 20.

Answer:  Option A, [tex]20[/tex]

Answer:

$37046.05

Step-by-step explanation:

new mean wage = beginning mean wage x (105.125%)

                            = 35240 x 105.125%

                            = 37046.05

Answer:

$37,046.05

Step-by-step explanation:

New mean wage :

Answer:

21

Step-by-step explanation:

Answer:

(-3.5, 2.3)

Step-by-step explanation:

Let the point P have coordinates : (x, y)

The line (from R to Q) is divided in the ratio :

Coordinates of :

Using section formula :

The coordinates of the point P are : (-3.5, 2.3)

Answer:

-3.5, 2.3

Step-by-step explanation:

Answer:20 pints of blue paint and 8 pints of yellow paint

Step-by-step explanation:

5 pints of blue and 2 pints of yellow make 7 pints of green. (5 + 2 = 7)You must do this four times to get 28 pints of green. (4  · 7 = 28)So you need 20 (4 · 5) pints of blue and 8 (4 · 2) pints of yellow.

The surface area of a similar box given the ratio of volume to surface area of first box is 67.5 square inches

Box A:

Box B:

Volume : surface area

64 : 160 = 27 : x

64/160 = 27/x

64 × x = 160 × 27

64x = 4,320

x = 67.5 square inches

Therefore, the surface area of a similar box given the ratio of volume to surface area of first box is 67.5 square inches

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Answer: The answer you selected in the picture is correct.

Step-by-step explanation:

There will be no heat transfer from the nickel to the water in the glass since heat transfer is purely a function of temperature difference.

there will be no transfer of heat from the nickel to the water in the glass

63 cm2

hope it helps

you

63 CM answer

The theoretical probability of spinning an odd number is equal to 3/5. The experimental probability of spinning an odd number is equal to 1/2.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given the spinner has 5 sections, each section is numbered between 1 to 5. Lakima also spins the spinner 6 times and records the results in this list. {2,4,1,5,3,4}. Therefore,

The theoretical probability of spinning an odd number is equal to 3/5.

The experimental probability of spinning an odd number is equal to 3/6=1/2.

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Answer: The theoretical probability of spinning an odd number is equal to 3/5. The experimental probability of spinning an odd number is equal to 1/2. Therefore, the theoretical probability of spinning an odd number is GREATER THAN  the experimental probability of spinning an odd number.

Step-by-step explanation:

Answer:

y = 4"x +2

Step-by-step explanation:

We choose negative 4 because the graph lies below the asymptote and we chose positive 2 because the horizontal asymptote is on the positive section of the y axis

Answer:

B, C, E

Step-by-step explanation:

the dependent variable depends on the independent variable

thus, p is dependent on t, p is the dependent variable, and t is the independent variable (B)

every month, Gloria paints 2 pieces

each month, t is increased by 1, and p is increased by 2 (C)

every month, Gloria paints 2 pieces

2 pieces every month = (2*t) pieces  = total pieces = p (E)

Answer:

x=2

Step-by-step explanation:

5x-5 = x+3

4x=8

x=2

[tex]x=10[/tex]

[tex]y=20[/tex]

Note:

(sin, cos, tan) Formulas:

[tex]sin(\theta)=\dfrac{opposite}{hypotenuse}[/tex]

[tex]cos(\theta)=\dfrac{adjacent}{hypotenuse}[/tex]

[tex]tan(\theta)=\dfrac{opposite}{adjacent}[/tex]

To find the value of [tex]x[/tex]

1) Using [tex]tan[/tex] formula

[tex]tan(\theta)=\dfrac{opposite}{adjacent}[/tex]

[tex]tan(60°)=\dfrac{10\sqrt{3}}{x}[/tex]

2) Multiply both sides by [tex]x[/tex]

[tex]xtan(60°)=\dfrac{10\sqrt{3}}{x}\times x[/tex]

[tex]xtan(60°)=10\sqrt{3}[/tex]

3) Divide both side by [tex]tan(60°)[/tex]

[tex]\dfrac{xtan(60°)}{tan(60°)}=\dfrac{10\sqrt{3}}{tan(60°)}[/tex]

4) Calculate

[tex]x=\dfrac{10\sqrt{3}}{tan(60°)}[/tex]

[tex]x=10[/tex]

To find the value of [tex]y[/tex]

1) Using [tex]cos[/tex] formula

[tex]cos(\theta)=\dfrac{adjacent}{hypotenuse}[/tex]

[tex]cos(60°)=\dfrac{10}{y}[/tex]

2) Multiply both sides by [tex]y[/tex]

[tex]ycos(60°)=\dfrac{10}{y}\times y[/tex]

[tex]ycos(60°)=10[/tex]

3) Divide both side by [tex]cos(60°)[/tex]

[tex]\dfrac{ycos(60°)}{cos(60°)}=\dfrac{10}{cos(60°)}[/tex]

4) Calculate

[tex]y=\dfrac{10}{cos(60°)}[/tex]

[tex]y=20[/tex]

The missing values in the diagram given that figure ABCD is a dilation of figure KLMN, are:

AB = 4

LM = 20

∠B = 98.87°

∠N = 141.87°

Dilation is a form of transformation whereby a new figure is formed by enlarging or reducing an original figure by a scale factor. After dilation, the corresponding sides of both figures are proportional, while the corresponding angles of both figures are congruent to each other.

Find AB:

AB/KL = DC/NM

Plug in the values

AB/10 = 4/10

AB(10) = 4(10)

AB = 40/10

AB = 4

Find LM:

BC/LM = DC/NM

Plug in the values

8/LM = 4/10

8(10) = 4(LM)

LM = 80/4

LM = 20

∠B = ∠L = 98.87°

∠N = ∠D = 141.87°

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Step-by-step explanation:

Step 1:  Answer the first question

Area of a triangle → [tex]A = \frac{b*h}{2}[/tex]

[tex]\frac{4*6}{2}[/tex]

[tex]\frac{24}{2}[/tex]

[tex]12[/tex]

Total Area → [tex]12 * 2=24[/tex]

Answer:  Option D, [tex]24\ square\ units[/tex]

Step 2:  Answer the second question

We know that the total side length is 12 but we also know that the triangle base is 4 so we would subtract that from the total length and we get that the rectangle length is 8.  We also know that the width is 6 so we multiply 8 by 6 and we add 24.  This matches option B

Answer:  Option B, [tex](8 * 6 + 24)\ square\ units[/tex]

Answer:

Its 24 for both combined (A)

Step-by-step explanation:

i would say for part B it would be B

Given the value of the circumference of the circle, its area in terms of constant pi is 144πcm².

A circle is simply a closed 2-dimensional curved shape with no corners or edges.

The area and circumference  of a circle is expressed mathematically as;

Where A is area, C is circumference, r is radius and π is constant pi.

Given the data in the question;

First, we determine the radius of the circle.

24π cm = 2πr

r = 24π cm / 2π

r = 12cm

Now, we find the area.

A = πr²

A = π × (12cm)²

A = π × 144cm²

A = 144πcm²

Therefore, given the value of the circumference of the circle, its area in terms of constant pi is 144πcm².

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There are 3 red Hexagones, 3 blue triangles and 5 orange rectangles needed to complete the symmetry of the given figure.

Something is symmetrical when it is the same on both sides. A shape has symmetry if a central dividing line (a mirror line) can be drawn on it, to show that both sides of the shape are exactly the same.

The given figure will become symmetrical when 3 red Hexagones, 3 blue triangles and 5 orange rectangle added to the right portion.

Hence there are 3 red Hexagones, 3 blue triangles and 5 orange rectangles needed to complete the symmetry of the given figure.

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Answer:

The sum of all the terms is -775.

Step-by-step explanation:

This appears to be an arithmetic sequence, with a common difference of 4.

The problem is, we don't know how many terms there are!

To find this, use the following formula:

last number = first number + (n - 1) * difference

In this case:

35 = -85 + (n - 1) * 4

35 = -85 + 4n - 4

4n = 124

n = 31

This means there are 31 terms in this sequence.

Now, for the sum. Use the following formula:

n(first number + last number), take this product and divide it by 2.

In this case:

31(-85 + 35) = -1550 / 2 = -775

Answer:

e

Step-by-step explanation:

the sum of 24 and 7 is 24 + 7 and multiplying this by 5 gives

5 × (24 + 7)

Answer:

e.

Step-by-step explanation:

24 + 7 = 31

5 * 31 = 155.

Answer:

18x3=54

Mia gave Jon 54 apples

54+18=72

Now Jon has 72 apples

The figure is the combination of a square, a rectangle, and a triangle. Then the area of the figure will be 213 mm².

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The figure is the combination of a square, a rectangle, and a triangle. Then the area of the figure will be

Area of square = 4 x 4

Area of square = 16 mm²

Area of rectangle = 7 x 9

Area of rectangle = 53 mm²

Area of triangle = 0.5 x 24 x 12

Area of triangle = 144 mm²

Then the area if the figure will be

Area of the figure = 16 + 53 + 144

Area of the figure = 213 mm²

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The area bounded by the line y=3x from limits x=0 to x=4 will be 24.

Integration is defined as the adding up all the small units to find the whole unit.

It is given in the question that the line y=3x is making a region in a plane from the limits x= to x=4.

So by integrating the function we will get the area.

[tex]\int\limits^4_0 y=\int\limits^4_0 {3x} \, dx[/tex]

[tex]\int\limits^4_0 y=3 \int\limits^4_0 {x} \, dx[/tex]

[tex]\int\limits^4_0 y=[\dfrac{3x^2}{2}]^4_0[/tex]

[tex]\int\limits^4_0 y= \dfrac{(3\times (4)^2)}{2}[/tex]

[tex]\int\limits^4_0 y= 24[/tex]

hence the region bounded by the line y=3x will have the area of 24 square units.

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