Please solve with explanation (high points)

Please Solve With Explanation (high Points)

Answers

Answer 1

By concepts of trigonometry and of perpendicularity, the angles AKL and AKC from respective right triangles have measures of 90° and 32.3°, respectively.

How to find angles by trigonometric relationships

As planes ABCD and BCLK are perpendicular to each other, the triangles AKL and AKC are right angled. The required angles can be found by using the following trigonometric relationships:

[tex]\angle AKL = 90^{\circ}[/tex] (As line segments AK and KL are perpendicular to each other)

[tex]\angle AKC = \tan^{-1} \left(\frac{AC}{KC} \right) = \tan^{-1} \left(\frac{\sqrt{2}\cdot a}{\sqrt{5} \cdot a} \right) = \tan^{-1} \sqrt{\frac{2}{5} }[/tex] (as line segments AC and KC are perpendicular to each other)

[tex]\angle AKC \approx 32.312^{\circ}[/tex]

By concepts of trigonometry and of perpendicularity, the angles AKL and AKC from respective right triangles have measures of 90° and 32.3°, respectively.

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Related Questions

4. Tanya Elliot purchased 400 shares of Frontier Oil at $19.00
per share and paid a $29.95 commission.
a. What was the cost of the stock?
b. What was the total paid?

Answers

a. The cost of the stock is $19

b.  Tanya Elliot paid total amount of $ 7629.95.

What is cost of stock?

The cost of preferred stock to a company is effectively the price it pays in return for the income it gets from issuing and selling the stock.

a. It is given that , each share= $19.00

Total number of shares = 400

Price for 400 shares be,

= 400 x $19.00

= $7600.00

Cost of the stock= [tex]\frac{ 7600}{400}[/tex]

                            = $19

b. Total paid by Tanya = $7600.00 +$29.95

                                      = $7629.95

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Where does the energy stored in coal originally come from?
A. The Earth's Core
B. Minerals
C. The Sun
D. Radioactive material in the crust

Answers

Answer:

C . The sun

plants absorb light which make carbohydrates which makes a part of bodies of animals and plants . When they die this compound in their bodies which later became coal

Why couldn't you add the
feet, yards, and centimeters
together?

Answers

It’s not possible because it needs to be convicted to feet then yards then centimeter but you can add it you will get something way different I tried before

Find the indicated side of the
triangle.

Answers

Answer:

[tex]\huge \orange{b = \boxed{ 6} \sqrt{ \boxed{3}} }[/tex]

Step-by-step explanation:

[tex]a = 12 \sin 30 \degree \\ \\ \implies \: a = 12 \times \frac{1}{2} \\ \\ \implies \: \huge \red{ a = 6} \\ \\ b = 12 \cos 30 \degree \\ \\ \implies \: b = 12 \times \frac{ \sqrt{3} }{2} \\ \\ \implies \: b = 6 \times \sqrt{3} \\ \\ \implies \: \huge \orange{b = \boxed{ 6} \sqrt{ \boxed{3}} }[/tex]

PLEASE HELP ITS EXTRA CREDIT AND I COULD REALLY USE IT !! BEING TIMED! for each of the following statements, determine if the statement is true or false and explain how you decided on your answers for the polynomial.
*equation and questions included in picture below*

Answers

A. True. We see this by taking the highest order term in each factor:

[tex]f(x) = -3x(x-5)^3(x+2)^2 = -3x (x^3 + \cdots) (x^2 + \cdots) = -3x^{\boxed{6}} + \cdots[/tex]

B. True. Again we look at the leading term's degree and coefficient. f(x) behaves like -3x⁶ when x gets large. The degree is even, so as x goes to either ± ∞, x⁶ will make it positive, but multiplying by -3 will make it negative. So on both sides f(x) approaches -∞.

C. False. f(x) = 0 only for x=0, x = 5, and x = -2.

D. False. Part of this we know from the end behavior discussed in part B. On any closed interval, every polynomial is bounded, so that for any x in [-2, 5], f(x) cannot attain every positive real number.

E. True. x = 0 is a root, so f(0) = 0 and the graph of f(x) passes through (0, 0).

F. False. (0, 2) corresponds to x = 0 and f(x) = 2. But f(0) = 0 ≠ 2.

The book fair is this week, and there's a special deal for teachers. For every 5 hardcover books a teacher buys, he or she can get 2 paperback books for free. Ms. Baldwin is buying 35 hardcover books for her classroom library.
How many paperback books will Ms. Baldwin get for free?
paperback books

Answers

Ms. Baldwin can get 14 paperback books for free

Identify the equation of direct variation given that y varies directly with x. y is 75 when x is 5.

Answers

Answer:

  y = 15x

Step-by-step explanation:

The equation for direct variation is ...

  y = kx

where k is the constant of proportionality.

__

We can find k by dividing by x:

  y/x = k

Using the given values, we find it to be ...

  75/5 = k = 15

Using this value of k in the equation, we find the equation of direct variation is ...

  y = 15x

(BRAINLIEST) What is the slope of the line shown in the graph?

2

−1

−fraction 1 over 2

fraction 1 over 2

Answers

slope= rise/run

= y2-y1/ x2-x1
=2-1/ -2-0
= 1/-2

Hence, slope= -1.5 or -1/2

Answer: the slope is y=-1/2

Step-by-step explanation:

because the line is moving from left to right, it is a negative slope


Find the area of the shaded portion of the sector
shown below. Round your answer to the nearest
integer

Answers

The area of the shaded region is 75.5cm^2.

The radius of the inner circle=10cm

The radius of the outer circle=14cm

angle made by sector is 90 degrees.

What is the formula for the area of the sector making an angle theta?

[tex]A=\frac{\theta}{360}\times \pi r^2[/tex]

For an outer sector

[tex]Area of the sector=\frac{90}{360} \times \frac{22}{7} \times 14^2[/tex]

area of the sector=154cm^2

Now we have to find the area of the sector for the inner circle.

[tex]Area of the sector=\frac{90}{360} \times \frac{22}{7} \times 10^2[/tex]

Area of sector=78.5cm^2

Area of the shaded region =area outer sector - area of inner sector

Area of the shaded region=154-78.5.

Area of the shaded region75.5cm^2.

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what is the n th term of this sequences 51,54,59,66,75,86,99

Answers

3.5.7.9.11.13 is the sequence

I need help finding the answer to this

Answers

Answer:

Step-by-step explanation:

Remark

If the figures are similar then this is a proportion question. A proportion is 2 equation ratios. The ratios can have at most 1 unknown.

Givens

DC = 7

ML = 4.9

AB = 4

JK = x

Equation

DC/ML = AB/x                  Substitute values into equation and solve

Solution

7/4.9 = 4/x                        Cross Multiply

7x = 4 * 4.9                       Combine the right.

7x = 19.6                           Divide by 7

7x/7 = 19.6/7

x = 2.8

Answer

x = 2.8

Enter your answers in the boxes to correctly complete this statement.

74.94×103= (what) because the number 10³ has (what)
zeros when it is written without an exponent.

Answers

Using scientific notation, it is found that the number in standard notation is represented by:

[tex]74.94 \times 10^3 = 74940[/tex]

What is scientific notation?

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex].

In this problem, the number is given by:

[tex]74.94 \times 10^3[/tex]

Hence, applying the multiplication, we have that:

[tex]74.94 \times 10^3 = 74.94 \times 1000 = 74940[/tex]

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PLEASE HELP ME ANSWER THIS

Answers

9 millimeters squared

a. What is the volume, in cubic feet, of the box in the diagram?

b. How many of these boxes can fit in the cargo hold of the truck?

Answers

Volume is a three-dimensional scalar quantity. The number of boxes that can fit in the cargo hold of the truck is 54.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the box = Volume of the cube = a³ = (2.50)³ = 15.625 ft³

The volume of cargo hold = 7.50 × 7.50 × 15 = 843.75 ft³

Now, the number of boxes that can fit in the cargo hold of the truck will be,

Number of boxes = (Volume of truck container)/(Volume of box)

                              = 843.75/15.625

                              = 54

Hence, the number of boxes that can fit in the cargo hold of the truck is 54.

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What is volume of the box in diagram (in cubic ft.)

a = 2.5ft.

Volume of cube = a³

putting the value of a

Volume = (2.5ft.)³

Volume = 15.625 ft³

To find how many such boxes can be fit into the truck , we need to first find the volume of cargo hold of the truck and then divide it by the volume of 1 box

Volume of Cargo hold of truck =

= 15ft. × 7.5ft. × 7.5ft

= 843.75 ft³

No. of boxes that can be fit into the truck =

Volume of truck/ Volume of one box

= 843.75ft.3³/15.625ft.³

= 54 boxes

do a and b have the same value in the equations 2(a-1.1)=5.8 and 5/2b-2 3/4=7 1/4

Answers

Answer:

Yes

Step-by-step explanation:

Solve each equation and compare the solutions

1.

2(a - 1.1) = 5.8a - 1.1 = 5.8/2a - 1.1 = 2.9a = 2.9 + 1.1a = 4

2.

(5/2)b - 2 3/4 = 7 1/42.5b = 7 1/4 + 2 3/42.5b = 10b = 10/2.5b = 4

Both a and b have same value

Answer:

Yes, a and b have the same value in the given equations.

Step-by-step explanation:

Equation 1

      [tex]2(a-1.1)=5.8[/tex]

[tex]\implies 2a-2.2=5.8[/tex]

[tex]\implies 2a-2.2+2.2=5.8+2.2[/tex]

[tex]\implies 2a=8[/tex]

[tex]\implies \dfrac{2a}{2}=\dfrac{8}{2}[/tex]

[tex]\implies a=4[/tex]

Equation 2

    [tex]\dfrac{5}{2}b-2\frac{3}{4}=7 \frac{1}{4}[/tex]

[tex]\implies \dfrac{5}{2}b-\dfrac{2 \times 4+3}{4}=\dfrac{7 \times 4+1}{4}[/tex]

[tex]\implies \dfrac{5}{2}b-\dfrac{11}{4}=\dfrac{29}{4}[/tex]

[tex]\implies \dfrac{5}{2}b-\dfrac{11}{4}+\dfrac{11}{4}=\dfrac{29}{4}+\dfrac{11}{4}[/tex]

[tex]\implies \dfrac{5}{2}b=\dfrac{40}{4}[/tex]

[tex]\implies \dfrac{5}{2}b=10[/tex]

[tex]\implies 2 \cdot \dfrac{5}{2}b=2 \cdot 10[/tex]

[tex]\implies 5b=20[/tex]

[tex]\implies \dfrac{5b}{5}=\dfrac{20}{5}[/tex]

[tex]\implies b=4[/tex]

Conclusion

As  a = 4  and  b = 4, the two variables have the same value in the given equations.

What is the sum of all the angles that are labeled?

Answers

Answer:

61 + 142 + 44 = 247˚

Step-by-step explanation:

Just add haha

the person above is right

Select the correct answer. Which expression is equivalent to the given expression? √150​

Answers

Answer:

5√6

Step-by-step explanation:

√25 x 6

√25 x√6

5√6

How much should be invested now at an interest rate of 6% per year, compounded continuously, to have $2500 in five years?

Answers

Answer:

$1,923.08.

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year.

Solving our equation:

P = 2500 / ( 1 + (0.06 × 5)) = 1923.0769230769

P = $1,923.08

The principal investment required to get a total amount, principal plus interest, of $2,500.00 from simple interest at a rate of 6% per year for 5 years is $1,923.08.

|x|=x^2+x-15 solve absolute value equation and show steps please

Answers

Answer:

x=√15 or x = -5 or x=3

Step-by-step explanation:

Possibility one:

x=x^2+x-15

x-x^2=x^2+x-15-x^2 (subtract x^2 from both sides)

-x^2+x=x-15

-x^2+x-x=x-15-x (subtract x from both sides)

-x^2=-15

-x^2/-1=-15/-1 (divide both sides by -1)

x^2=15

square root both sides

x=√15 or x=-√15

Possibility two:

x=(-x^2+x-15)

x=-x^2-x+15 (simplify)

x-(-x^2-x+15)=-x^2-x+15-(-x^2-x+15) (subtract both sides by -x^2-x+15)

x^2+2x-15=0

(x-3)(x+5)=0 (factor left side of equation)

x-3=0 or x+5=0 (set factors equal to 0)

x=3 or x=-5

Question 4 please, Thanks!

Answers

Answer:

the probability is 1.01

What is the end behavior of the function f of x equals negative 4 times the cube root of x?

A.)As x → –∞, f(x) → –∞, and as x → ∞, f(x) → ∞.
B.) As x → –∞, f(x) → ∞, and as x → ∞, f(x) → –∞.
C.) As x → –∞, f(x) → 0, and as x → ∞, f(x) → 0.
D.) As x → 0, f(x) → –∞, and as x → ∞, f(x) → 0.

Answers

Answer:

B.) As x → –∞, f(x) → ∞, and as x → ∞, f(x) → –∞.

Step-by-step explanation:

[tex]\lim_{x\rightarrow -\infty } f\left( x\right) =\lim_{x\rightarrow -\infty } -4\sqrt[3]{x} = (-4)\times(-\infty) = +\infty[/tex]

[tex]\lim_{x\rightarrow \infty } f\left( x\right) =\lim_{x\rightarrow \infty } -4\sqrt[3]{x} = (-4)\times(+\infty) = -\infty[/tex]

if the sum of 3.5 and .02 is subtracted from the product of 11 and .05 the result is​

Answers

Answer:

7.53

3.5 + 0.02 = 3.52

11 + 0.05 = 11.05

11.05 - 3.52 = 7.53

sjrface area of triangle base of 11cm and height 7cm​

Answers

Answer:

38.5...............

Step-by-step explanation:

(11×7)/2.

Which expression is equal to 45 x 47 ÷4-²?

Answers

It should be 33840 as long as the end is 4^-2

Round your answer to the nearest hundredth.

Answers

[tex]\bold{ANSWER:}[/tex]
12.84

[tex]\bold{EXPLANATIONS:}[/tex]

The expression (cos 60°)(cos 30°) − (sin 60°)(sin 30°) can be rewritten as which of the following?

sin 30°
sin 90°
cos 30°
cos 90°

Answers

Answer:

cos 90°

Step-by-step explanation:

(cos 60°)(cos 30°) − (sin 60°)(sin 30°)

= cos ( 60° + 30°)

= cos 90°

The expression (cos 60°) (cos 30°) − (sin 60°) (sin 30°) is cos 30°.

What are trigonometric identities?

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

(cos 60°)(cos 30°) − (sin 60°)(sin 30°)

We can use the trigonometric identity for the difference of angles between cosines.

cos(x - y) = cos(x)cos(y) - sin(x)sin(y)

By setting x = 60° and y = 30°.

So,

cos(60° - 30°) = (cos 60°)(cos 30°) − (sin 60°)(sin 30°)

cos 30° = (cos 60°) (cos 30°) − (sin 60°) (sin 30°)

Thus,

(cos 60°) (cos 30°) − (sin 60°) (sin 30°) is cos 30°.

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I NEED HELP PLEASEEE!!!! I HAVE BEEN WORKING ALL DAY

Answers

Answer:

188

Step-by-step explanation:

I found and fixed my mistake sorry

The graphically and algebraically

Answers

graphically is intersect i believe

Write 2.19 as the ratio of two integers in fraction form

Answers

Answer:  [tex]\frac{219}{100}[/tex]

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

Explanation:

Think of [tex]2.19[/tex] as [tex]\frac{2.19}{1}[/tex] or [tex]\frac{2.19}{1.00}[/tex]

This works because dividing anything over 1 does not change the original number.

Then we can move the decimal point two spots to the right for each number

2.19 becomes 2191.00 becomes 100

Therefore, [tex]2.19 = \frac{219}{100}[/tex]

Question 6 of 10
Which of the following are not polynomials?

Answers

A,D and E are not polynomials.

Step-by-step explanation:

Well you see my friend, that's how things work.

A polynomial does not have the variable in the denominator.

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