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Yolanda is correct since the boulders have a circular shape, the best shape to model the surface area of a sphere.

A sphere is a three dimensional object that has all the set of all points equidistant from a single point in space. An example of a sphere is a ball. The boulder in this question has a spherical shape.

Surface area of a sphere = 4πr²

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Answer:

Step-by-step explanation:

Yolanda is correct since the boulders have a circular shape, the best shape to model the surface area of a sphere.

What is a sphere?

A sphere is a three dimensional object that has all the set of all points equidistant from a single point in space. An example of a sphere is a ball. The boulder in this question has a spherical shape.

Surface area of a sphere = 4πr²

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Answer:

AC and YX are corresponding sides.

AB and YZ are corresponding sides.

BC and ZX are corresponding sides.

Step-by-step explanation:

Hope this helps and have a nice day

Using it's concept, it is found that the inequality represents the domain of the exponential piece is:

d) [tex]x \leq -2[/tex].

The domain of a function is the set that contains all possible input values.

Researching this problem on the internet, we have that the function is divided as follows:

Hence, for the domain of the exponential piece, option d is correct.

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D

--

x=9.4cos(58°)

because the cosine function uses the ratio of the adjacent side to that of the hypotenuse.

9.4 is the hypotenus the ration is 58 degrees I believe

[tex]\\ \rm\Rrightarrow cosA=\dfrac{Base}{Hypotenuse}[/tex]

[tex]\\ \rm\Rrightarrow cos58=\dfrac{x}{9.4}[/tex]

[tex]\\ \rm\Rrightarrow x=9.4cos58[/tex]

Option D

To Sketch a graph of each of the four angles of 30°, 150°, 210°, 330°, one can follow the example that is given in the image.

In the mathematics, a sketch is known to be a given category  that tells what a thing is all about.

Note that in sketching, one need to take not of the key points and angles and as such, To Sketch a graph of each of the four angles of 30°, 150°, 210°, 330°, one can follow the example that is given in the image.

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Answer:

Reflection

Explanation:

This is a reflection because A B and C and A' B' C' are at the same points in their quadrants. A' B' C' is flipped over the X-Axis

Answer:

reflection about the x -axis

Step-by-step explanation:

Mirror line is the x-axis for this translation

Answer:

8

Step-by-step explanation:

Factors of 40: 1 2 4 5 8 10 20 40

Factors of 56: 1 2 4 8 14 28 56

Common factors: 1 2 4 8

Greatest common factor: 8

Answer:

8

Step-by-step explanation:

Prime factorization

40  = 2 x 2 x 2 x 5

56 = 2 x 2 x 2 x 7             common factor 2 x 2 x 2 = 8

Answer:

13

Step-by-step explanation:

11 * 12 * 19 * 20 * 13 = 75

75/5 = 15

Answer:

13

Step-by-step explanation:

the mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

let x be the fifth number , then

[tex]\frac{11+12+19+20+x}{5}[/tex] = 15

[tex]\frac{62+x}{5}[/tex] = 15 ( multiply both sides by 5 to clear the fraction )

62 + x = 75 ( subtract 62 from both sides )

x = 13

To translate something:

  ⇒ is to write out the equations

Let's examine what information this problem gives us:

            ⇒ with '2' being the number of adults tickets

                ⇒total charge from purchasing adult tickets = 2 * 62.5 = 125

            ⇒ with 'x' being the number of child tickets bought

                 ⇒total charge from purchasing child tickets = 42.5x

Since the sum of total charge from purchasing adult tickets and total charge from purchasing child tickets is equal to 400:

   ⇒ 42.5x + 125 = 400 <== translated form

Let's solve:

   [tex]42.5x+125=400\\42.5x=275\\x=6.47[/tex]

Since we can only buy whole tickets:

Mrs. Albert could have bought at most 6 child tickets

Answer: Mrs. Albert can bring 6 kids

Hope that helps!

Answer:

Step-by-step explanation:

Answer:

Claro esta:

139 x 1

Pero tambien

69.5 x 2

Y

46.3 x 3

Y muchos mas

The formula is given by

Or

Where

Answer:

3.2 and 3.92

Step-by-step explanation:

Answer:

No graph was provided but Ive attached my own

Step-by-step explanation:

f(x) = 3x + 4 → y = mx + b

y - intercept (b) is 4

slope (m) is 3 so the rise / run = 3 / 1

The median, mode and range of the numbers are 9, 5 and 7 respectively.

The median is the middle number when the data is arranged in ascending order.

Therefore,

7, 7, 7, 8, 10, 11, 12, 12

median = 8 + 10 / 2 = 18 / 2 = 9

median = 9

The range is the largest number minus the smallest number.

Therefore,

range = 12 - 7 = 5

range = 5

The mode is the number that appears most. Therefore,

mode = 7

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Answer:

y ≥ 14

Step-by-step explanation:

Add 27 to both sides to get:

y ≥ 14

Therefore the answer is y ≥ 14.

Answer :

[tex] \: [/tex]

Step-by-step explanation :

Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.

We'll find the measure of third side with the help of the Pythagorean theorem,

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (Hypotenuse {)}^{2}= (Base) {}^{2} + (Perpendicular {)}^{2} }}} \\ \\[/tex]

Here,

[tex] \: [/tex]

So, substituting the values in the formula we get :

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (x {)}^{2}= (7) {}^{2} + (8 {)}^{2} }}} \\ [/tex]

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (x {)}^{2}=49 +64}}} \\ [/tex]

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (x {)}^{2}=113 }}} \\ [/tex]

[tex]\\ {\longrightarrow \pmb{\sf {\qquad x= \sqrt{113} }}} \\ [/tex]

[tex]\\ {\longrightarrow \pmb{\sf {\qquad x \approx10.63 }}} \\ [/tex]

Therefore,

Answer:

Quick answer, C. 7 units!

Answer:

3349.5 [tex]cm^{3}[/tex]

Step-by-step explanation:

see image

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{11}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x +11}{2}~~~ ,~~~ \cfrac{ y -3}{2} \right)~~ = ~~\stackrel{\stackrel{midpoint}{\downarrow }}{(7~~,~~-2}) \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{ x +11}{2}~~ = ~~7\implies x+11=14\implies \boxed{x=3} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ y -3}{2}~~ = ~~-2\implies y-3=-4\implies y=-1\implies y=-1i\implies \boxed{y=-i}[/tex]

The radius of the circle is 5.30 cm.

A radius is a line that extends from the center of a circle to any point of the circumference.

To calculate the length of the radius of the circle, we use the formula below.

Formula:

Make r the subject of the equation

Where:

From the question,

Given:

Substitute these values into equation 2

Hence, the radius of the circle is 5.30 cm.

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Answer:

3

Step-by-step explanation:

The N1, N6 and N8 national highways meet in Bloemfontein,

Hope This Helped

Answer:

 D is your answer  Outlier An extreme value in a set of data which is much higher or lower than the other numbers.

Step-by-step explanation:

Outliers affect the mean value of the data but have little effect on the median or mode of a given set of data

Answer:

64 men

Step-by-step explanation:

80 men / 10 months = 8 men per month, so in 8 months, 64 men can construct the same building.

Using it's concept, it is found that the desired probability is given as follows:

B) 0.20.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, out of a total of 165 vehicles, 33 are SUV's with no all wheel drive, hence the probability is given by:

p = 33/165 = 0.2.

Which means that option B is correct.

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Answer:

B) 0.20

Step-by-step explanation:

correct on edge

Answer:

84/100

Step-by-step explanation:

We know that 100% is a whole, so we can use this as our denominator. If the student only got an 84, this will be our numerator. The numerator is a part of a whole, 84 is a part of 100. Therefore the answer would be 84/100.

The value of tan(x) is [tex]-\frac{\sqrt{91}}{3}[/tex] if cos(x) = -3/10 and the angle is in the second quadrant i.e. quadrant II

The expression is given as:

cos(x) = -3/10

Using the following trigonometry identity:

sin²(x) + cos²(x) = 1

The equation become

sin²(x) + (-3/10)² = 1

Evaluate the exponent

sin²(x) + 9/100 = 1

Subtract 9/100 from both sides

sin²(x)  = 91/100

Take the square root of both sides

[tex]\sin(x) = \frac{\sqrt{91}}{10}[/tex]

Sine is positive in quadrant II.

So, the tangent is calculated using:

[tex]\tan(x) = \sin(x) \div \cos(x)[/tex]

This gives

[tex]\tan(x) = \frac{\sqrt{91}}{10} \div -\frac{3}{10}[/tex]

Evaluate

[tex]\tan(x) = -\frac{\sqrt{91}}{3}[/tex]

Hence, the value of tan(x) is [tex]-\frac{\sqrt{91}}{3}[/tex]

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Step-by-step explanation:

When two statements are connected with an 'and,' you have a conjunction.

For conjunctions, both statements must be true for the compound statement to be true.

When the connector between two statements is "or," you have a disjunction. In this case, only one statement in the compound statement needs to be true for the entire compound statement to be true.