Slope and y-intercept form from a table

Answer:

sin x° = opposite ÷ hypotenuse

Step-by-step explanation:

Cosine is represented by the expression adjacent ÷ opposite and sine is represented by opposite ÷ hypotenuse. Only the fourth option lines up with the functions defined above.

If you are having trouble remembering the ratios for each trig function, you can use the acronym SohCahToa. This stands for:

S - sine

o - opposite

h- hypotenuse

C - cosine

a - adjacent

h - hypotenuse

T - tangent

o - opposite

a - adjacent

Answer:

The graph of a tangent function is defined as the ratio if the opposite side of the adjacent side of any angle, specifically a right-angled triangle.

Answer:

≈ 30 times

Step-by-step explanation:

The Cubs are projected to win 38 games next season and this is a 22.6% increase from past season.

Step 1 : Let's find 22.6% of 38.

= 8.588

Step 2 : Now, since we increased by this, we subtract.

38 - 8.588 = 29. 412

Of course you can't win only part of a game, so I'm going to say they won 30 times, because a little extra win never hurt anybody. :)

Hope this helps, please mark brainliest!

Answer:

log[tex]\frac{y^{3}}{x^{2} z^{4} }[/tex]

Step-by-step explanation:

3logy−2logx−4logz

log[tex]y^{3}[/tex]− log[tex]x^{2}[/tex]− log[tex]z^{4}[/tex]

log[tex]\frac{y^{3}}{x^{2} }[/tex] − log[tex]z^{4}[/tex]

log[tex]\frac{y^{3}}{x^{2} z^{4} }[/tex]

Hi there!

[tex]\large\boxed{\text{gradient = -2}}[/tex]

Recall the equation:

y = mx + b, where:

m = slope, or gradient of a line

Rewrite this expression into the above format:

3y + 6x = 12

Isolate y by subtracting 6x from both sides of the equal sign:

3y + 6x - 6x = 0x -6x + 12

3y = -6x + 12

Divide all terms by 3:

y = -2x + 4

Thus, the gradient is -2.

Geometry

A right triangle adds up to 180°.

Make an equation to find x.

54°+x°+90°=180°

Add like-terms.

144°+x°=180°

Subtract 144 from both sides.

x°=36

Answer:

A square

Step-by-step explanation:

the coordinates make a square.

Answer:

A. w+2

Step-by-step explanation:

(w²+2w)/ w =

w(w+2)/w = w+2

Answer:

a) w+2

Step-by-step explanation:

A=w^2+2w

width is w

let's consider length is x

area=length×width

so

[tex] {w}^{2} + 2w = xw[/tex]

[tex]x = \frac{ {w}^{2} + 2w}{w} = w + 2[/tex]

Answer:

Step-by-step explanation:

True

Answer:

d is the exterior angles hope it helps

Answer:

the factor from 3 to 5 is

1 2/3

Answer:

Step-by-step explanation:

-3x - 5 = 16

add 5 to both sides of the equation

-3x = 21

divide both sides by -3

x = -7

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

-4(y - 2) = 12

distribute the -4 to everything in the parentheses

-4y + 8 = 12

subtract 8 from both sides of the equation

-4y = 4

divide both sides of the equation by -4

y = -1

Answer:

-3

Step-by-step explanation:

g(1) = -3x² + x - 1

      = -3([tex]1^{2}[/tex]) + 1 -1

      = -3(1) + 1 - 1

      = -3 +1 -1

g(1) = -3

Just put the 1 everywhere you see an x.

Solve

Answer:

[tex]\frac{15+6}{10-3}[/tex]

Step-by-step explanation:

Sum of 15 and 6 = 15 + 6

Difference of 10 and 3 = 10 - 3

So, the expression is

[tex]\frac {15 + 6}{10-3}[/tex]

This is the required expression.

Answer:

$0.21

Step-by-step explanation:

Divide $0.84 for 4: $0.21

Answer:

0.21

Step-by-step explanation:

well 4 cars

.84 a pack of 4

42=50%

21=25%

0.21 per car

Answer:

To add or subtract two rational expressions with the same denominator, we simply add or subtract the numerators and write the result over the common denominator.

When the denominators are not the same, we must manipulate them so that they become the same. In other words, you must find a common denominator.

Step-by-step explanation:

Answer:

7x + 8

Step-by-step explanation:

15x + 10 - 8x + 8

combine like terms

7x + 8

Answer:

hmmmm i dont know

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

sqrt(121)

What number times itself gives 121

11*11 = 121

-11 * -11 = 121

Answer:

the square root of 121 is 11

which is the second option

Answer:

42°C

Step-by-step explanation:

32-(-10) =

32 + 10 = 42

Minus a negative makes a positive

Answer:

The third option, a rational number

like 1/5 + 2.5 is still rational (but neither irrational nor whole/an integer)

it would be 0.2 + 2.5 = 2.7 btw

or

1/5 + 5/2

= 2/10 + 25/10

= 27/10

Answer:

Nadia has 22 fish

Step-by-step explanation:

476,092-476,070= 22

Answer:

The answer is 952,152 fishes

Step-by-step explanation:

No. of fish in the city aquarium      476,092

No. of fish Nadia's aquarium has= 476,070 more than

More than= +

476,092+476,070=952,152

Answer:

12 divided by 18 equals 0.666666666666

Answer:

t = 100 + 15x

= 140 guests

Step-by-step explanation:

Rent for banquet room = $100

Dinner per guest = $15

Let

x = number of guests

Total cost = Rent for banquet room + (Dinner per guest * number of guests

Total cost, t = 100 + 15x

How many guests attend if the total cost of an event is $2200?

t = 100 + 15x

2,200 = 100 + 15x

2200 - 100 = 15x

2,100 = 15x

x = 2,100/15

x = 140 guests

x = number of guests = 140 guests

Answer:

4.44 cm²

Step-by-step explanation:

If the diagram attached below is required to complete the question,

Applying,

Area of the shaded segment(A) = Area of the sector- area of the triangle

A = (πr²∅/360)-(r²sin∅/)2................ Equation 1

Where r = radius of the circle, ∅ = angle at the center of the circle,π = pie

From the question,

Given: r = 5.4 cm, ∅ = 72°

Constant: π = 3.14

Substitute these values into equation 1

A = (3.14×5.4²×72/360)-(5.4²/2×sin72)

A = 18.31-13.87

A = 4.44 cm²

[tex] \huge \mathrm {➢ \: \: \: \: Answer }[/tex]

The above figure consists of three different shapes, that is :

Let's solve for surface area of whole figure :

1. Curved surface area of hemisphere : -

[tex] \large \boxed{ \boxed{2\pi {r }^{2} }}[/tex]

[tex]➢ \: \: 2 \times 3.14 \times 4 \times 4[/tex]

[tex]➢ \: \: 100.48 \: m {}^{2} [/tex]

2. lateral surface area of Cylinder : -

[tex] \large \boxed {\boxed{2\pi rh}}[/tex]

[tex]➢ \: \: 2 \times 3.14 \times 4 \times 10[/tex]

[tex]➢ \: \: 251.2 \: { m}^{2} [/tex]

3. curved surface area of cone :

[tex]slant \: height = \sqrt{4 {}^{2} + 3 {}^{2} } [/tex]

(by Pythagoras theorem)

[tex] \large \boxed { \boxed{c.s.a = \pi rl}}[/tex]

[tex]➢ \: \: 3.14 \times 4 \times 5[/tex]

[tex]62.8 \: m {}^{2} [/tex]

Surface area of the figure :

[tex]➢ \: \: 100.48 + 251.2 + 62.8[/tex]

[tex]➢ \: \: 414.48 \: \: m {}^{2} [/tex]

[tex]➢ \: \: 414.5 \: m {}^{2} \: \: \: (approx)[/tex]

Now, let's solve for volume :

Volume of given figure will be combined volume of the all three shapes,

1. Volume of hemisphere :

[tex] \boxed{ \boxed{\dfrac{2}{3} \pi {r}^{3} }}[/tex]

[tex]➢ \: \: \dfrac{2}{3} \times 3.14 \times 4 \times 4 \times 4[/tex]

[tex]➢ \: \: 133.97 \: \: { m}^{3} [/tex]

2. Volume of Cylinder :

[tex] \large\boxed{ \boxed{ \pi{r}^{2}h }}[/tex]

[tex]➢ \: \: 3.14 \times 4 \times 4 \times 10[/tex]

[tex]➢ \: \: 502.4 \: m {}^{3} [/tex]

3. Volume of cone :

[tex] \large \boxed {\boxed{ \frac{1}{3} \pi {r}^{2}h' }}[/tex]

[tex]➢ \: \: \dfrac{1}{ 3} \times 3.14 \times 4 \times 4 \times 3[/tex]

[tex]➢ \: \: 50.24 \: {m}^{3} [/tex]

The total volume of the given figure :

[tex]➢ \: \: 133.97 + 502.4 + 50.24[/tex]

[tex]➢ \: \: 686.61 \: {m}^{3} [/tex]

or

[tex]➢ \: \: 686.6 \: \: m {}^{3} \: \: \: (approx)[/tex]

[tex] \mathrm{✌TeeNForeveR✌}[/tex]

Answer:

706.50 mm^2

Step-by-step explanation:

The formula to find the circumference is 2πr (r : radius)

if the circumference is 30π the the radius is = 15

to find the area we use the following formula :

π*r^2

r = 15 and π is given as 3.14

(3.14)*15^2 = 706.50 mm^2