The shadow of a tower at a time is three times as long as its shadow when the angle of elevation of the Sun is 60°. Find the angle of elevation of the Sum at the time of the longer shadow.​

The line graph (C) represents the data representation on the line plot option (C) is correct.

A line graph is a graph made up of segments of straight lines that connect the depicted data points.

We have data shown in the table:

The data set value 11 repeated two times, so two dots we will see on the line plot.

The data set value 11(1/2) repeated one time, so one dot we will see on the line plot.

The data set value 11(3/4) repeated two times, so two dots we will see on the line plot.

The data set value 12 repeated two times, so two dots we will see on the line plot.

Similarly, we can check for others.

Thus, the line graph (C) represents the data representation on the line plot option (C) is correct.

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Isolating the absolute value term, we find

|x| + 5 ≤ 1   ⇒   |x| ≤ -4

However, the absolute value function maps every number x to a non-negative number, so |x| ≤ -4 is impossible and there is no solution to the inequality.

The right angle triangles are:

Triangle A has two acute angles and one ninety degree angle

Triangle d has two acute angles and one ninety degree angle.

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees. A right angled triangle is a triangle in which one of its angles measure 90 degrees.

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A circular cake pan that measures 8 inches across and 2 inches high. thus, the volume of a circular cake pan is 100.84 cubic inches.

The volume of the circular shape can be calculated as the product of the area and the height.

Given; a circular cake pan that measures 8 inches across and 2 inches high.

The radius will be 4.

The area of the circle = [tex]\pi r^{2}[/tex]

[tex]\pi \times 4^2\\\\3.14\times 16\\\\50.24[/tex]

The volume of a circular cake pan = area x height

                                                     [tex]50.24 \times 2\\ \\100.48[/tex]

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Answer:

undefined

Step-by-step explanation:

1. Input x = -5 in function f(x):

[tex]5(-5) + 25 / 2(-5)^{2} - 50[/tex]

[tex]-25+25 / 50 - 50[/tex]

[tex]0/0[/tex]

2. Determine the domain

[tex]0/0[/tex]

undefined

[tex]\Large\textsf{\textbf{Answer\::}}[/tex]

undefined

[tex]\Large\textsf{\textbf{Calculations\::}}[/tex]

Plug in the value of x (-5) and simplify as follows :

[tex]\displaystyle\frac{5(-5)+25}{2(-5)^2-50}[/tex]

[tex]\displaystyle\frac{-25+25}{2(25)-50}[/tex]

[tex]\displaystyle\frac{0}{50-50}[/tex]

[tex]\displaystyle\frac{0}{0}[/tex]

We know that we can't divide by zero. Dividing by zero results in infinity , which is not a number .

So the expression is :

[tex]\textsf{\textbf{und.efined}}[/tex]

[tex]\small\text{hope\:helpful~}[/tex]

Pull terms out from under the radical, assuming positive real numbers.

56

Have a good one :)

Answer: -10x³ - 6x - 6

Step-by-step explanation:

      f(x) -g(x) means we will subtract g(x) from f(x)

Given:

   (-8x³ + 1) - (2x³ + 6x + 7)

Distribute the negative:

   -8x³ + 1 - 2x³ - 6x - 7

Combine like terms, simplify:

   -10x³ - 6x - 6

         f(x) -g(x) is -10x³ - 6x - 6

Answer:

[tex]-10x^{3} -6x-6[/tex]

Step-by-step explanation:

The question is asking us to find f(x) - g(x). In the question it also gives the values of each as:

f(x) = [tex]-8x^{3} +1[/tex]

g(x) = [tex]2x^{3} +6x+7[/tex]

To find the answer, plug both of these values into f(x) - g(x):

([tex]-8x^{3} +1[/tex])-([tex]2x^{3} +6x+7[/tex])           Lets distribute the negative to [tex]2x^{3} +6x+7[/tex].

[tex]-8x^{3} +1[/tex] - [tex]2x^{3}-6x-7[/tex]             Combine like terms

[tex]-10x^{3} -6x-6[/tex]

Therefore, the final answer for f(x) - g(x) is equal to [tex]-10x^{3} -6x-6[/tex].

I hope this helps! If you have any questions about my work please put them in the comments below!

Answer:

Option C. 12√3

Step-by-step explanation:

Lateral area of the solid figure will be = 3×(one lateral side )

Area of a lateral side of the given triangle = (1/2) × (height) × (Base)

Height of an isosceles triangle with a side 4 will be = √(4² - 2²) = √(16-4)= √12 = 2√3

Now area of one lateral side = (1/2)×(2√3)×(4) = 4√3

Therefore lateral area of the solid figure = 3×(4√3) = 12√3

Answer:

The cost of one hamburger is $2.19.

Step-by-step explanation:

Let h = cost of a hamburger

f = cost of a french fries

3h + 4f = 10.77-------->3h + 4f = 10.77

4h + 2f = 10.86------->8h + 4f = 21.72

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

5h = 10.95

h = 2.19, f = 1.05

Answer:

from (-4,1) the line will go up to (-2,2) then (0,3)

Step-by-step explanation:

the slope 1/2 dictates that the line will go up by 1 unit for every 2 units, then we just plot said line from the point given (-4,1) where we go up y by 1 and we go left on x by 2

image could not be provided at this time, tho the line will have a slope that is between horizontal and increasing (to the left) at roughly 30 degrees ish

Answer:

the anser is 0

this is an additive inverse property.

Step-by-step explanation:

Money Matters is the best value for money for £750 they are giving 806.25 euros.

Customers can exchange one currency for another at a currency exchange, which is a licensed business.

The three agents are giving the money at different rates:-

Travel Exchange   =  750  x   1.1065  =   798.75 Euros

Phoenix Financial =   1.1050  x  750  =   787.5 Euros

Money Matters      =  1.1075  x   750  =    806.25 Euros

We can see that Money Matters is giving the best value for money.

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Answer:

tobe specific, it is 53.33%, but if you want just a whole #, it is 53%

Answer:

53.33%

Step-by-step explanation:

or 53% if rounded to the nearest whole

Answer:

20x^9y^7.

Step-by-step explanation:

(5xy^2) (4x^8y^5)

= 5*4 x*x*8 y^2  *y^5

=  20x^9y^7.

original equation:

[tex](5xy^2)(4x^8y^5)[/tex]

when multiplying exponents, simply add the exponents of like bases.

[tex](5)(4)=20\\\\(x)(x^8)=x^9\\\\(y^2)(y^5)=y^7[/tex]

final answer

[tex](5xy^2)(4x^8y^5)=20x^9y^7[/tex]

Answer:

[tex]\huge\boxed{\bf\:59.7^{\circ}\:F}[/tex]

Step-by-step explanation:

Temperature during the day = [tex]35.2^{\circ}F[/tex]

Temperature at night = [tex]-24.5^{\circ}F[/tex]

Difference in the temperatures

= Temperature during the day - Temperature at night

= [tex]35.2^{\circ}F - (- 24.5^{\circ}F)\\= 35.2^{\circ}F + 24.5^{\circ}F\\=\boxed{\bf\:59.7^{\circ}F}[/tex]

Difference in the temperatures = 59.7° F

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

The number that is given in the statement of this question is x<8.

Algebraic expression is a mathematical sentence involving several numbers and letters. These letters are called variables or unknowns, and can be part of equations.

To solve this expression, we will set up the equation as follows, according to the statement.

x + 5 < 13

x < 13 - 5

x < 8

Therefore, the unknown number in this equation will be x < 8.

Answer:

140kilo in 1hr and 280kilo in 2hr and 420kilo in 3hr and 28kilo in 20 min.

Answer:

7 hours 50 minutes and

Step-by-step explanation:

7.833 hours 470 minutes 28,200 seconds

Answer:

1

Step-by-step explanation:

We will first find the prime factorization of 32 and 39. After we will calculate the factors of 32 and 39 and find the biggest common factor number .

32=2^5

39=3^1*13^1

-

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16

List of positive integer factors of 39 that divides 32 without a remainder.

1,3,13

We found the factors and prime factorization of 32 and 39. The biggest common factor number is the GCF number.

So the greatest common factor 32 and 39 is 1.

Answer:

60 hours total

Step-by-step explanation:

1 hr x 3 days per week= 3 hrs a week

3 hrs x 4 weeks in a month =12 hrs a month

12 hrs ea month x 5 months = 60 hrs total

Answer:

4•(7^4)

Step-by-step explanation:

You would first do 7^4, and get 2401.

You would then multiply 2401 by 4, and get 9604.

Hope this helps! Added steps to solve it just in case :)

Answer:

[tex]4*7^{4}[/tex]

Step-by-step explanation:

The Exponential Notation is:

"A method of simplifying the writing and handling of very large or very small numbers."

The word "Exponential" comes from the word "Exponent"

So we have 1 four and 4 sevens and they are all being multiplied by each other.

Our operation: Multiplication

Our first number in the equation: 4

Our second number in the equation: 7 to the fourth power or [tex]7^{4}[/tex]

Our final answer: [tex]4*7^{4}[/tex]

I hope this helps!

Have a great day! :)

Answer:

45,40,35,30,25,20,15...

Step-by-step explanation:

The common difference equals:

-5

The sum of the sequence equals:

150

The explicit formula of this sequence is:

a_n=45+(n-1)*(-5)

The recursive formula of this sequence is:

a_n=a_((n-1))-5

The nth terms:

45,40,35,30,25,20,15...

Hope this helps

Give brainliest :)

Answer:

Step-by-step explanation:

25 + 14 / (5-3)

25 + 14 / 2

25 + 7

32

Answer: 0.000

Step-by-step explanation:

The time taken by the rock to reach the lake below is 5.123 sec

t= 5.123 sec

A quadratic equation is an algebraic expression of the second degree in x. The quadratic equation in its standard form is [tex]ax^{2} +bx+c=0[/tex] where a, b are the coefficients, x is the variable, and c is the constant term.

It is given that,

H= [tex]-16t^{2} +32t+256[/tex], which represent the height of the rock

Also, we have given that the height of the cliff is 256 feet.

Now to find the time taken by the rock, take H=0

[tex]-16t^{2} +32t+256[/tex]=0

[tex]-16(t^{2} -2t-16) = 0[/tex]

[tex]t^{2} -2t-16 = 0[/tex]

[tex]t= \frac{-(b)\pm\sqrt{(b)^{2}- 4 *a*c } )}{2*a}[/tex]

From above equation, a=1, b=-2, c=-16

So,

[tex]t= \frac{-(-2)\pm\sqrt{(-2)^{2}- 4 *1*(-16) } )}{2*1}[/tex]

[tex]t= \frac{2\pm\sqrt{(4+64 } )}{2}[/tex]

[tex]t= \frac{2\pm\sqrt{(68 } )}{2}[/tex]

There will be two value one with positive [tex]t= -2+\sqrt{(68 } )[/tex] and another with negative [tex]t= -2-\sqrt{(68 } )[/tex]

We will neglect negative value because time can't be negative.

[tex]t= \frac{2+\sqrt{(68 } )}{2}[/tex]

[tex]t= \frac{2+8.246}{2}[/tex]

[tex]t= \frac{10.246}{2}[/tex]

t= 5.123 sec

The time taken by the rock to reach the lake below is t= 5.123 sec

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Answer:

532.33 [tex]units^3[/tex]

Step-by-step explanation:

Formula:

r* 4/3 * 3.14

Plug in radius:

[tex]5^3 * \frac{4}{3} * 3.14[/tex]   = 523.33

Answer:

523.33 in^3

Step-by-step explanation:

5^3 * 3.14 * 4/3

125 * 3.14 * 4/3

392.5 * 4/3

523.33