When the sun shines at a 60° angle to the ground, Talisa's shadow is 36 inches long.

Answer:

187, 199, 211, 250, 298, 331, 347, 362

[tex]median = {( \frac{n}{2} + 1) }^{th} \: value \\ = ( \frac{8}{2} + 1) {}^{th} \: value \\ = {5}^{th} \: value \\ median = 298[/tex]

Answer:

The median is the middle number in a set of data when the data is arranged in ascending (this is more common) or descending order. If there are an even number of values in the data set, the median is the arithmetic mean of the two middle numbers. Thus, the median separates the lower and higher half of a data set.

Step-by-step explanation:

ascending order : 187, 199, 211, 250, 298, 331, 347, 362

answer: 250, 298 .

Answer:

ur answer is 8.06

Step-by-step explanation:

a² + b²= c²

4² + 7² = c²

16 + 49 = c²

65 sooo u do √65= 8.06

(a) A temperature of -2 °C is warmer than a temperature of -5 °C as the temperature on the graph decreases.

(b)The inequality -2>-5 will be used to illustrate the connection between -2 and -5.

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

On a number line, graph all the temperature that are warmer than -2°C.

(a)-2 °C  temperature is warmer,As the temperature in the graph is decreasing,-2 °C temperature is warmer than -5 °C.

The inequality to express the relationship between -2 and -5 will be -2>-5.

Hence,temperature of -2 °C is warmer than a temperature of -5 °C as the temperature on the graph decreases.

To learn more about the graph, refer to the link;

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Answer: u = 3

Step-by-step explanation:

Divide each side by -7 to get u = 3.

Answer:

3

Step-by-step explanation:

-7u = -21

To solve the problem we need to isolate u. Since -7 is being multiplied by u, we could divide to get rid of it.

-7u

[tex] \frac{ - 7u}{ - 7} = - 21 \div - 7[/tex]

u= -21/-7

u = 3

Answer:

they are similar cuz it resembles a "z" pattern. The angles are so the same.

Answer: The gradient of the line segment between the points (-5,2) and (4,3) is [tex]\dfrac{1}{9}[/tex].

Step-by-step explanation:

Formula for gradient of a line segment :

[tex]\text{Gradient}=\dfrac{\text{Difference between y-coordinates}}{\text{Difference between x-coordinates}}[/tex]

Given points of the line segment: (-5,2) and (4,3)

[tex]\text{Gradient} =\dfrac{3-2}{4-(-5)}[/tex]

[tex]\text{Gradient} =\dfrac{1}{4+5)}[/tex]

[tex]\text{Gradient} =\dfrac{1}{9}[/tex]

Therefore , the gradient of the line segment between the points (-5,2) and (4,3) is [tex]\dfrac{1}{9}[/tex].

Answer:

Step-by-step explanation:

formula of volume of cone is given so u simply substitute the values given and calculate.

Work is done for u .

Hope this helps u

Answer:

Cost of case = $5

Step-by-step explanation:

x = cost of camera and y = cost of case

x = y + 90

x + y = 100

y + 90 + y = 100

2y = 10

y = 5

x = y + 90

x = 5 + 90

x = 95

Therefore, the cost of the camera is $95 and the cost of the case is $5.

The cost of case is 5 dollars.

The equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.

Let,

Cost of camera = a and

Cost of case = b

Given that, camera and a case cost 100 dollars

a + b = 100

Since, the camera cost 90 more dollars than the case

So, a = b + 90

Substitute the value in the equation a + b = 100

b + 90 + b = 100

2b = 10

Divided by 2 both the sides

b = 5

Substitute the value of b in equation

a = b+ 90

a = 5 + 90

a = 95

So, the cost of the camera is $95 and the cost of the case is $5.

Hence, the cost of the case is 5 dollars.

Learn more about equation here:

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Answer:

-9

Step-by-step explanation:

[tex]3^{-36}[/tex]= [tex]27^{-12}[/tex]

Answer:

3(n-8)

Step-by-step explanation:

Answer:

y = 3/2 x - 9/4

Step-by-step explanation:

bring all the y's to one side.

4y = 6x-9

divide by 4 to isolate the y

y = 6/4x - 9/4

simplify

y = 3/2 x - 9/4

Answer:

y = (3/2)x - 9/4

Step-by-step explanation:

Slope intercept form is

y = mx + b

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

6x - 4y = 9

subtract 6x from both sides

-4y = -6x + 9

Divide both sides by -4

y = (3/2)x - 9/4

Answer:

Are there any options to choose from???

Answer:

This system has infinite solutions and it would be much easier to solve it by elimination but substitution it is.

Step-by-step explanation:

-3x+3y=9

-x+y=3

Isolate either x or y in any of the equations. I'll go with the second.

y = 3+x

Now substitute this for y in the first equation.

-3x+3(3+x)=9

Distribute the 3

-3x+9+3x=9

Combine like terms:

9=9

0=0

It's infinite

Answer:

Maximum value.

it = -1.

Step-by-step explanation:

Maximum value as the coefficient of x^2  is negative.

To find this value we convert to vertex form:

y = -3x^2 + 6x - 4

y = -3(x^2 - 2x) - 4

y = -3[(x - 1)^2 - 1] - 4

y = -3(x - 1)^2 + 3 - 4

y = =3(x - 1)^2 - 1

Minimum value = -1.

Answer:

h=4cm

Step-by-step explanation:

a) volume of a cuboid= LBH

cuboid a=(3x2x8)cm³

=48cm³

cuboidb

6cmx2cmxh=48cm³

12cm²xh=48cm³

12cm²h/12cm²=48cm³/12cm²

h=4cm

Answer:

6 students earned a d and 80% got other

Step-by-step explanation:

Answer:

6 students, 80% of students

Step-by-step explanation:

20% of her 30 students earned a D. To find exactly how many students earned a D, we can convert the 20% into a fraction and thereby multiply the fraction by 30.

[tex]20[/tex]%[tex]=[/tex]

[tex]\frac{20}{100}=\\\frac{1}{5}[/tex]

Ok, [tex]\frac{1}{5}[/tex] of Ms. Moore's 30 students earned a D. Let's multiply.

[tex]\frac{1}{5}*\frac{30}{1} =\\6[/tex]

6 students in Ms. Moore's class earned a D.

Therefore, the rest of the class earned a different grade. [tex]30-6=24[/tex] students had a different grade. To find the percentage, we simply divide by the total number of students and multiply by 100%

[tex]\frac{24}{30} =\\\frac{4}{5} =\\0.8=[/tex]

[tex]80[/tex]%

80% of students in Ms. Moore's class got a grade other than D.

I hope this helps! Let me know if you have any questions :)

Answer:

[tex]\text{(C) }300\pi\:\mathrm{cm^3}[/tex]

Step-by-step explanation:

The volume of a cylinder with radius [tex]r[/tex] and height [tex]h[/tex] is given by [tex]V=r^2\pi \cdot h[/tex].

What we're given:

Substituting given values, we get:

[tex]V=5^2\pi \cdot 12 =\boxed{300\pi\:\mathrm{cm^3}}[/tex]

Answer:

c

Step-by-step explanation:

The formula for the volume of a cylinder is [tex]V=\pi r^2h[/tex]

We know r is 5, and h is 12.

Then we can just plug the values into the formula.

[tex]V=\pi (5)^2(12)\\ V=\pi (25)(12)\\\V=\pi (300)[/tex]

So the answer is c, 300pi

Answer:3.53

Step-by-step explanation:

I found it on a quiz game got it right

Answer:

x=0

Step-by-step explanation:

because the y values are not changing and the x values are only changing from positive to negative.

Answer: Natasha is 17 and Ravi is 25

Step-by-step explanation:

Let n = Natasha’s age and r = Ravi’s age

We can write an equation then substitute: 42=n+r

We know that Ravi is 8 years older than Natasha, so Ravi’s age is equal to n+8. We can substitute that in, so 42= n+(n+8)

Simplify:

42=n+(n+8)

42= 2n+8

42-8=2n+8-8 (subtract 8 from both sides to isolate n)

34=2n

34/2=2n/2 (divide both sides by two)

17=n

Natasha is 17, and Ravi is 8 years older. 17+8= 25, Ravi is 25. You can double check by adding 25 and 17 together, which brings you back to 42 :]

Answer:

k = -12

Step-by-step explanation:

When lines are perpendicular, their slopes are the opposite reciprocal of each other.

The opposite reciprocal of [tex]\frac{1}{4}[/tex] is -4

[tex]\frac{k}{3}=-4[/tex]

k = -12

Answer: 20 cm

Step-by-step explanation:

Given

For the right angle triangle, the length of the other two sides of triangle are 12 cm and 16 cm

Using the Pythagoras theorem, [tex](\text{Hypotenuse})^2=(\text{Perpendicular})^2+(\text{base})^2[/tex]

Insert the values

[tex]\Rightarrow H^2=12^2+16^2\\\Rightarrow H^2=144+256\\\Rightarrow H^2=400\\\Rightarrow H=\sqrt{400}\\\Rightarrow H=20\ cm[/tex]

Answer:

Hi, there your answer is x=4

Step-by-step explanation:

Step 1: Add 2 to both sides.

3x−2+2=10+2

3x=12

Step 2: Divide both sides by 3.

[tex]\frac{3x}{3}=\frac{12}{3}[/tex]

x=4

Answer:

a = 8

Step-by-step explanation:

a ÷ 2 - 8 + 8 = - 4 + 8

a ÷ 2 = 4

a ÷ 2 × 2 = 4 × 2

a = 8

Answer:

a = 8

Step-by-step explanation:

Given

[tex]\frac{a}{2}[/tex] - 8 = - 4 ( add 8 to both sides )

[tex]\frac{a}{2}[/tex] = 4 ( multiply both sides by 2 to clear the fraction )

a = 8

Answer:

<2 = 75

Step-by-step explanation:

<1 and <2 form a straight line which means that they add to 180

<1+<2 =180

105+<2 =180

Subtract 105 from each side

<2 =180-105

<2 = 75

Answer:

a. 12 students had received college credit for math

b. 26 students had received college credit for science