Equivalent equation to 19-6(-k+4)=

Answer:

[tex]sin\theta = \sqrt{1-C^2}[/tex]

[tex]tan\theta = \dfrac{\sqrt{1-C^2}}{C}[/tex]

[tex]cot\theta = \dfrac{C}{\sqrt{1-C^2}}[/tex]

[tex]sec\theta = \dfrac{1}{C}}[/tex]

[tex]cosec\theta = \dfrac{1}{\sqrt{1-C^2}}[/tex]

Step-by-step explanation:

Given that:

[tex]\theta[/tex] is an angle in a right angled triangle.

and [tex]cos\theta = C[/tex]

To find:

To draw the triangle and write other five trigonometric functions in terms of C.

Solution:

We know that cosine of an angle is given by the formula:

[tex]cosx =\dfrac{Base}{Hypotenuse}[/tex]

Here, we are given that [tex]cos\theta = C[/tex] OR

[tex]cos\theta = \dfrac{C}{1}[/tex]

i.e. Base = C and Hypotenuse of triangle = 1

Please refer to the right angled triangle as per given statements.

[tex]\triangle PQR[/tex], with base PR = C units

and hypotenuse, QP = 1 unit

[tex]\angle R[/tex] is the right angle.

Let us use pythagorean theorem to find the value of perpendicular.

According to pythagorean theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}[/tex]

[tex]1^{2} = C^{2} + QR^{2}\\\Rightarrow QR = \sqrt {1-C^2}[/tex]

[tex]sin\theta = \dfrac{Perpendicular}{Hypotenuse}\\\Rightarrow sin\theta = \dfrac{\sqrt{1-C^2}}{1}\\\Rightarrow sin\theta = \sqrt{1-C^2}[/tex]

[tex]tan\theta = \dfrac{Perpendicular}{Base}\\\Rightarrow tan\theta = \dfrac{\sqrt{1-C^2}}{C}[/tex]

[tex]cot\theta = \dfrac{Base}{Perpendicular}\\\Rightarrow cot\theta = \dfrac{C}{\sqrt{1-C^2}}[/tex]

[tex]sec\theta = \dfrac{Hypotenuse}{Base}\\\Rightarrow sec\theta = \dfrac{1}{C}}[/tex]

[tex]cosec\theta = \dfrac{Hypotenuse}{Perpendicular}\\\Rightarrow cosec\theta = \dfrac{1}{\sqrt{1-C^2}}[/tex]

Answer:  approximately 24 square units in the shaded areas

Step-by-step explanation:  

The area of the entire dark circles will be for each πr², then divided by 2 to get the area of the semicircles created on the sides of the triangles:

16π + 9π = 25π   Half that times value for pi

≈ 39.2699  is the area of the dark semicircles. Round to 39.27

Now the fun! Find the area of the parts subtracted by the light semicircle:

The area of the entire circle is 25π  or about 78.54. The triangle is half of an inscribed rectangle, 6×8, so 48.  Subtracted from the circle leaves about 30.54 in the four slices between the arcs of the circumference and the perimeter of the rectangle. We are concerned with only half of the slices, so we will subtract 15.27

Area of the dark semicircles minus the area of the light slices will leave the area of the shaded crescents:

Answer:

$ 327.08

Step-by-step explanation:

Let x = width of the container,

Then Length of the container = 2x

Let h = height of the container,

volume of the container can be calculated as length × width × height

= 2x × x × h

= 2x² h

Then we can say Volume =

= 2x² h=10

If we simplify inorder to get h

We have h= 5/x²

Then the area= (2L×h) +(2xh)

Where L is lenght

x= wish

h= height

= 2× 2x × h+ x× h

= 4x× 5/x + 2x × 5/x

Area = 30/x

Now, the area of the base = length × width

But from question, for the base costs $20 per square meter. Material for the sides costs $12 per square meter

Then the cost C(x)= 2x²× 20+30/x ×12

C(x)= 40x²+35/x²

If we differenciate wrt x we have

C(x)= 80-360/x²

If we equate C(x)=0the

80=360/x²

x= 1.651

If substitute to C(x)= 40x²+35/x²

C(x) = 40(1.651)² + 35/(1.651)²

We have cost= 327.08

Answer:

A) SAS postulate

Step-by-step explanation:

Answer:

SAS

Step-by-step explanation:

you know that ST is equal and you also know two equal angles and one other equal side

Answer:

0.9

I guess.

If yes

.. Follow me..

Answer:

please mark my answer brainliest

Step-by-step explanation:

can you tell me a subscript n =sin to the power theta +cosec to the power n theta...and a subscript 1 =2...then prove that a subscript n =2...

Answer:

tan (40°) = [tex]\frac{x}{100}[/tex]

Step-by-step explanation:

tan [tex]\theta[/tex] = [tex]\frac{opposite}{adjacent}[/tex]

The opposite side to angle B is x. The adjacent side to angle B is 100 ft.

tan (40°) = [tex]\frac{x}{100}[/tex]

Answer:

tan 40° = x/100

Step-by-step explanation:

As, AC is perpendicular and BC is the with respect to angle ABC. So, tan 40° will be use to determine the distance in feet from point C to point A.

tan ABC = perpendicular/base

tan 40° = AC/BC

tan 40° = x/100 feet

Answer:

82% Add .34+.48.

Step-by-step explanation:

The question is asking how many people CAN swim. This is why the answer is 82. But if the question asks how many people CANT swim the answer will be 18. This is why some people might get confused.

Answer:

5 seconds ma boii

Step-by-step explanation:

i just took tha test

Answer:

1) h(t) = -5t(t - 8)

t - 8 = 0, so

2) t = 8 seconds

Step-by-step explanation:

Answer:

[tex]\boxed{Median = 152}[/tex]

Step-by-step explanation:

Observation = 568 , 254 , 152 , 101 , 100

In ascending order:

=> 100 , 101 , 152 , 254 , 568

Median is the middlemost no. So here:

Median = 152

Answer:

152

Step-by-step explanation:

If you set the data in an ascending order, you will find 152 to be the middle value, thus being the median

Answer:

see below

Step-by-step explanation:

In the first step, they added 28 to both sides of the equation to get rid of the -28 on the left side. Next, they subtracted 4x from both sides to get rid of the 4x on the left side. They are doing this so that they can isolate y on one side. Isolating y basically means that you need to get all of the y terms on one side and all of the non-y terms on the other side. Next, they divided the entire equation by 8 to get rid of the 8 in 8y. Finally, since y and f(x) are the same thing, they simply substituted f(x) for y.

Answer: A.    7.50 +14P < 60

Step-by-step explanation:

Let P represent the number of pizzas that Jacque buys.

Given, delivery fee =$7.50

Per pizza cost = $14

She wants to buy as many pizzas as she can, and she also needs to

keep the delivery fee plus the cost of the pizzas under $60.

i.e.  (delivery fee) + (Number of pizzas) x (Per pizza cost) < $60

i.e. 7.50 +14P<60

Required inequality :  7.50 +14P<60

Answer:

A.    7.50 +14P < 60  Answer: Jacque can only afford 24 slices of pizza

Step-by-step explanation:

Answer:

a = 1500

b = 0.97

Step-by-step explanation:

The equation we are modeling is ;

F(x) = ab^x

Now we have two parameters to fix.

These are the density and the annual percentage increase

We can substitute the value of 1500 for a and also make a corresponding substitution for b.

Now for b, the value to substitute is quite dicey.

3% = 3/100 = 0.03

To make any substitution, we need to subtract this value from 1 and that would be 0.97

So it is this 0.97 that we now raise x to for each of the number of years

Answer:

h^2+2h

Step-by-step explanation:

Let h be the heigth of this garden

The length of this garden is 2 feet more than the heigth.

So the length can be expressed as h+2

The area of this triangle is the product of the heigth and the length.

A = h*(h+2)

A= h^2 +2h

Answer:

36 people joined the radio control club.

Step-by-step explanation:

15-3= 12

12*3=36

Answer:

The answer is below

Step-by-step explanation:

The formula m = (12,000 + 12,000rt)/12t gives Keri's monthly loan payment, where r is the annual interest rate and t is the length of the loan, in years. Keri decides that she can afford, at most, a $275 monthly car payment. Give an example of an interest rate greater than 0% and a loan length that would result in a car payment Keri could afford. Provide support for your answer.

Answer: Let us assume an annual interest rate (r) = 10% = 0.1. The maximum monthly payment (m) Keri can afford is $275. i.e. m ≤ $275. Using the monthly loan payment formula, we can calculate a loan length that would result in a car payment Keri could afford.

[tex]m=\frac{12000+12000rt}{12t}\\ but\ m\leq275, \ and \ r=10\%=0.1\\275= \frac{12000+12000(0.1)t}{12t}\\275= \frac{12000}{12t} +\frac{12000(0.1)}{12t}\\275= \frac{1000}{t} + 100\\275-100= \frac{1000}{t} \\175= \frac{1000}{t} \\175t = 1000\\t= \frac{1000}{175}\\ t=5.72\ years[/tex]

The loan must be at least for 5.72 years for an annual interest rate (r) of 10%

Here's the keywords you need! :)

example of an interest rate and a loan length that costs under $275/month (example: 4-year loan at 2% interest)

monthly payment for the loan you described (example: 4-year loan at 2% interest is $270/month)

statement that the monthly payment for the loan you described is less than or equal to $275 (example: $270/month payment is less than $275)

Just got it right on edge 2020, hope this helps!! :)

Answer:

r=2

Step-by-step explanation:

y = k x^r  is the formula for a direct variation

y = k x^ -r is the formula for a indirect variation

20= 5 (1/2)^ -r

Divide each side by 5

4 = (1/2) ^ -r

Rewriting

2^2 = 2^ -1 ^ -r

2^2 = 2 ^ r

The bases are the same so

2 =r

Answer:

r=-2

Step-by-step explanation:

because i had this questiion and i got it right

Answer:

b

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

[tex] 12x = 34^2 - 26^2 \\

12x = (34+26)(34-26)\\

12x = 60\times 8\\\\

x = \frac{60\times 8}{12}\\\\

x = 5\times 8\\

x = 40[/tex]

Answer:45

Step-by-step explanation:

Answer:

B. 30 square units

Step-by-step explanation:

Edge 2021

Answer:

∆ABC=∆DBC

Step-by-step explanation:

The angle of ABC, which is 90° is the same as the angle DBC which is also 90°

Answer:

1. Technically 2, but might be 0 in your teacher's opinion.

2. 1

Step-by-step explanation:

Solving problem one.

So I don't know if you have learned about imaginary numbers, but if you have, then you would end up with two answers if you plugged in the quadratic formula.

If you haven't learned about imaginary numbers, then I would say your best option would be to write 'No real solution' since there are technically 2 solutions.

Solving problem two.

Turns out this quadratic has a special property and it's actually a square of one equation. You can find out by just factoring the equation.

It's (3x-2)^2.  Since it's squared, that means that only 2/3 would work as x in this equation.

Answer:

[tex] area = 10x^2 - 4x + 6 [/tex]

Step-by-step explanation:

Given that the rectangle has a height = 2, and width of [tex] 5x^2 - 2x + 3 [/tex]

Area of the whole rectangle can be calculated as:

[tex] area = 2(5x^2 - 2x + 3) [/tex]

Use the distributive property of multiplication by using 2 to multiply each term in the expression, [tex] (5x^2 - 2x + 3) [/tex]

[tex]area =2(5x^2) +2 (-2x) + 2(3)[/tex]

[tex] area = 10x^2 - 4x + 6 [/tex]

Answer:

Micah's solution is wrong

Step-by-step explanation:

Micah solves a linear equation and concludes that x = 0 is the solution. His work is shown below.

(1 – 3x) = 4(– + 2)

0 = x

Which statement is true about Micah’s solution?

Micah’s solution is wrong.

There are no values of x that make the statement true.

Micah’s solution is correct, and the value of x that makes the statement true is 0.

Micah should have divided by .

Micah should have subtracted

Solution

First solve for the value of x

Given

(1 – 3x) = 4(– + 2)

It could mean;  (1 – 3x) = 4(+ 2)

or  

(1 – 3x) = 4(-2)

In the first option (1 – 3x) = 4(+ 2)

1 – 3x = 4(+ 2)

1-3x= 8

-3x=8-1

-3x=7

x= -7/3  

In the second option

(1 – 3x) = 4(-2)

1-3x= -8

-3x= -8-1

-3x = -9

x= 3

 x= 3 0r -7/3

The values of x that make the statement true are 3 and -7/3

Micah's solution of x=0 is wrong

Answer:

A. Micah’s solution is wrong. There are no values of x that make the statement true.

Step-by-step explanation:

Answer:

the number of female teachers is 616

Step-by-step explanation:

male     2: 112

Female 11 : x

now you want to find x which is the number of female teachers

multiply 11 with 112 and 2 with x

11 x 112= 2x

divide 2

1 232 = 2x/2

616 =  x

Hope that help :)

Answer:

66 degrees

Step-by-step explanation:

WV is the radius and WX is a tangent, so angle W is 90 degrees. So, 90+24=114 and 180-114 is 66.

Hope this is helpful! :)

Answer:

9pq, 8qp, and 7x, 16y

Step-by-step explanation:

these pairs have the same variable and exponent. To be a like term, you have to have same variables and same exponents, so therefore 11a and 13a^2 can't be like terms.

Answer:

work is shown and pictured

Answer:

The answer is C

Step-by-step explanation:

Answer:

0.012 millimeters

Step-by-step explanation:

First, we solve for  0.000004 m to mm = 0.004 mm x 3 = 0.012 millimeters