Which of the listed values are equal to the sine of C A.)b/a B.)c/a C.)c/b D.)cos B E.)5.Cos C F.)cos (90°-C) G.)cos(90°-B)

The domain of the function is x> -4.

The correct option is B.

We have the function

f(x) = 12/ √(x+ 4) - 2

Now, putting f(x) = 0

12/ √(x+ 4) - 2 = 0

12 -  2√(x+ 4) = 0

-2√(x+ 4) = -12

√(x+ 4) = 6

Taking Square on both side we get

x+ 4 = ±36

x = ± 36 - 4

x = 32 or x= -40

Thus, the domain of the function is x> -4.

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Answer:

○ C. [tex]\displaystyle 74°[/tex]

Step-by-step explanation:

[tex]\displaystyle c^2 + b^2 - 2cb\:cos∠A = a^2[/tex]

In the EDGE formula of the Law of Cosines, whatever squared edge term is on the outside of the equivalence symbol, its angle measure is what you write next to the trigonometric function, if you understand the formula written above.

I am joyous to assist you at any time.

Answer:

Im pretty sure its A but not 100% sure-

Step-by-step explanation:

Answer:

Y will be output and x is input

y = (x * 5) + 4

I think this is right.

Answer:

x =  -4 ± i4

Step-by-step explanation:

This is a quadratic equation with coefficients {1, 8, 32}.  We apply the quadratic formula to solve for x.  The first step is to find the 'discriminant,' b^2 - 4 ac, which here is (8)^2 - 4(1)(32), or 64 - 128, or -64.  

A negative discriminant indicates that this quadratic has two unequal complex roots.  

                               -b ± √(b^2 - 4ac)

The formula is x = ----------------------------

                                         2a

which, when evaluated at a = 1, b = 8 and c= 32, yields

                               -8 ± √(-64)

The formula is x = ----------------------------

                                         2(1)

or:

                               -8 ± i√64                

The formula is x = -----------------   = x =  -4 ± i4

                                        2

Answer:

5.72 inches

Step-by-step explanation:

Answer:

The total money which is collected is $72..

First, we imagine a right triangle. Second, we are given that the building is 62 feet tall. Since the height of building is vertical straight - that means the height is opposite side of triangle. It also casts a shadow 21 meters long. Shadow should be the adjacent side because it casts on the ground and not on the air.

If we imagine the right triangle + the problem in our head, we'd get the triangle that the opposite side is 62 feet tall and the adjacent side is 21 meters long.

Use the tangent ratio to find the angle of sun shining.

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

Substitute adjacent = 21 and opposite = 62 in the ratio.

[tex] \large{tan \theta = \frac{62}{21} }[/tex]

For this part, you might need a calculator or trigonometric table because some values cannot be exactly found.

From the equation, we should get 71.288 which we round the answer to nearest hundreth and the answer would be 71.29

Answer

Answer:

71.29°

Step-by-step explanation:

By question its given that , a 62 feet tall tree cast a shadow of 21 m long. We need to find the angle at which the sun is shining on the building .

For this we gonna imagine a right angle triangle . Where , the length of the shadow will be the base of the triangle and the height of the building will be the perpendicular on the triangle .

Here since we have got perpendicular and base , we can use the ratio of tan . We know that tan is defined as perpendicular by base , that is ,

[tex]\implies tan \theta =\dfrac{perpendicular}{base}[/tex]

Plug in the respective values , we have ,

[tex]\implies tan \theta =\dfrac{62}{21} \\\\\implies\theta = tan^{-1}\bigg( \dfrac{62}{21}\bigg) \\\\\implies \underline{\underline{\theta = 71.29^o }}[/tex]

Hence the required answer is 71.29° .

Answer:

C = 22.56

Step-by-step explanation:

The equation for the circumference of a circle is [tex]C=2\pi r[/tex].

The radius is half the diameter so [tex]r=\frac{7.18}{2}=3.59[/tex]

Plug the radius into the equation.

[tex]C=2*\pi *3.59[/tex]

[tex]C=22.55664[/tex]

Given:

Diameter of circle = 7.18 m

To find:

Circumference of the circle

Steps:

We know that radius is equal to half of the diameter

r = d/2

r = 7.18/2

r = 3.59 m

Now circumference is equal 2πr

Circumference = 2πr

Circumference = 2 × 3.14 × 3.59      (taking pi as 3.14)

Circumference = 6.28 × 3.59

Circumference = 22.5452

Circumference ≈ 22.55 meters

Therefore, the circumference of the circle is approximately 22.55 meters

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By definition of coterminal angles, the negative angle that is equivalent to an angle of 285° is equal to - 75° degrees. (Correct choice: D)

In this problem we must determine a negative angle coterminal to a given angle, two angles are coterminal when both have the same direction. Given that a complete revolution is done each 360°, we can derive an expression for angles coterminal to a given one:

θ' = θ + i · 360°     (1)

Where i is the index of the coterminal angle.

If we know that θ = 285° and i = - 1, then the negative angle is:

θ' = 285° + (- 1) · 360°

θ' = - 75°

By definition of coterminal angles, the negative angle that is equivalent to an angle of 285° is equal to - 75° degrees. (Correct choice: D)

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Answer:

Step-by-step explanation:

Answer:

7/2

Step-by-step explanation:

12 1/4 is equivalent to the improper fraction 49/4.

The square root of 49/4 is 7/2.

The squareroot of [tex]12 \frac14[/tex] is [tex]3 \frac{1}{2} [/tex].

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \sqrt{12 \frac{1}{4} } \\ \\ = \sqrt{ \frac{49}{4} } \\ \\ = \sqrt{ \frac{7 \times 7}{2 \times 2} } \\ \\ = \sqrt{ \frac{( {7})^{2} }{( {2})^{2} } } \\ \\= \frac{7}{2} \\ \\ = 3 \frac{1}{2} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

b) 2

Step-by-step explanation:

both angles have the same values, they are technically opposites.

Set your formula up as

130 = 66x - 2

130 + 2 = 66x

132/66 = x

2 = x

Answer:

9,000

Step-by-step explanation:

180/400 × 20,000 = 9,000

Answer:

9,000

Step-by-step explanation:

180÷400= 0.45

0.45×20,000= 9,000

Answer:

[tex]17\sqrt{2}[/tex] ft

Step-by-step explanation:

take angle b as reference angle

using sin rule

sin 45 = opposite / hypotenuse

[tex]\frac{1}{\sqrt{2} }[/tex] = 17 / BC

BC =17 / [tex]\frac{1}{\sqrt{2} }[/tex]

BC = 17 * [tex]\sqrt{2}[/tex]

BC =  [tex]17\sqrt{2}[/tex] ft

Answer:

BC = 17[tex]\sqrt{2}[/tex] ft

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{17}{BC}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

BC = 17[tex]\sqrt{2}[/tex] ft

Answer:

this may or may not help ya :/

= 2 ×( x + 2 + x )

= 2 ( 2x + 2)

= 4x + 4 units

= (x + 2) × x

= x² +2x Sq. units

Answer:

2,3 and -1,7

Step-by-step explanation:

Answer:

Step-by-step explanation:

use formula

A(x,y)=A'(-x,-y)

D(-4,-2)=D'(4,2)

Answer:

For a cylinder of radius R and height H, the surface area is given by:

A = 4*pi*R^2 + H*(2*pi*R)

Where pi = 3.14

We can just use that formula for each one of the given cylinders.

1) We can see that the diameter is 10 yd, and the radius is half of the diameter, then the radius is:

R = 10yd/2 = 5yd

And the height is 3yd, then H = 3yd

Replacing these in the area equation, we get:

A = 4*3.14*(5 yd)^2 + 3yd*(2*3.14*5yd) = 408.2 yd^2

2) Here we can see that the diameter is 24 cm, then the radius is:

R = 24cm/2 = 12cm

And the height is H = 10cm

Then the area is:

A = 4*3.14*(12 cm)^2 + 10cm*(2*3.14*12cm) = 2,562.24 cm^2

3) In this case we have a radius equal to 12 cm, and a height equal to 7 cm, then the area is:

A = 4*3.14*(12 cm)^2 + 7cm*(2*3.14*12cm) = 2,336.16cm^2

4) Here is hard to see the measures, I think that here we have:

diameter = 8m

Then R = 8m/2 = 4m

And the height is also 8m, H = 8m

Then the area is:

A = 4*3.14*(4 m)^2 + 8 m*(2*3.14*4m) =401.92 m^2

Answer:

16b=12

Step-by-step explanation:

divide both sides by 16

so twelve divide 16 is B

Answer:

B. b = 3/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

16b = 12

Step 2: Solve for b

Answer:

5 men and 2 women = 7 people with no restriction

a) Two women must sit next to each other:

b) The two women must not sit next to each other:

3 men and 5 women with no restriction:

Answer:

see attached file

Step-by-step explanation:

Answer:

Geometric mean of 2 numbers is a square root of the product.

Given  8,10

Geometric mean = √(8*10)

=√80

= √(16*5)

= 4√5

Answer:

No, the volume will be incresed by 8 times (2x2x2=8)

Step-by-step explanation:

[tex]Volume=3*5*9=135 in^{3} \\increased -Volume=6*10*18=1080 in^{3}\\\frac{1080}{135} =8[/tex]

Answer:

A, B, & D

Step-by-step explanation:

A. isosceles - 2 sides equal (actually) all sides are equal

B. equilateral - all sides equal and all angles are equal too

D acute - all angles are less than 90 degrees

Answer:

1,24 2,12 3,8 4,6

Step-by-step explanation:

that's all of them

Answer:

is there  a picture or something i cant understand

Step-by-step explanation:

Answer:

C. log(1/3)

Step-by-step explanation:

log a - log b = log(a/b)

Answer:

[tex]a_{n}[/tex] = - 3n - 3

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 6 and d = a₂ - a₁ = - 9 - (- 6) = - 9 + 6 = - 3 , then

[tex]a_{n}[/tex] = - 6 - 3(n - 1) = - 6 - 3n + 3 = - 3n - 3

answer is 48 stamps

explanation is 150 times 68% is 102 stamps then that means there would be 48 other stamps.