Find the trigonometric ratios for sin C, cos C, tan C.

Answer:

In English -

The legs are the sides opposite the acute angles of a right triangle. The legs are the lesser sides of the right triangle. The hypotenuse is the longest side of the right triangle.

In Spanish -

Los catetos son los lados opuestos a los ángulos agudos de un triángulo rectángulo. Los catetos son los lados menores del triángulo rectángulo. La hipotenusa es lado mayor del triángulo rectángulo.

Answer:

0.5x-5=20

Step-by-step explanation:

hope this helps

what grade is this for

Answer:

Part a: A

Part b: B

Step-by-step explanation:

a) A

10% of 895 = 0.1 × 895 = 89.5

b) B

135 ÷ 10% = 1350

x=4 y=1

Step-by-step explanation:

Answer:

a)3.10

b)31

Step-by-step explanation:

a) 1 half hour = 90 min

90÷30=3

9.30÷3=3.10

b)5 hrs -> 300 min

300÷30=10

10x3.10=31

Answer:

Step-by-step explanation:

The null and the alternative can be computed as:

[tex]H_o : \mu = 7.62[/tex]

[tex]H_1 : \mu < 7.62[/tex]

[tex]Claim: \mu < 7.62[/tex]

[tex]\alpha= 0.05[/tex]

The critical value for a left-tailed test at [tex]\alpha= 0.05[/tex] = -1.645

The test statistics can be computed as:

[tex]Z = \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt{n}} }[/tex]

[tex]Z = \dfrac{6.78 - 7.62}{\dfrac{1.77}{\sqrt{54}} }[/tex]

[tex]Z = -3.487[/tex]

The P-value = (Z< -3.487)

The P-value = 0.00024

Decision Rule: TO reject [tex]\mathbf{H_o}[/tex] at [tex]\alpha= 0.05[/tex], if test statistics is less than the critical value (left tailed)

Conclusion: We reject  [tex]\mathbf{H_o}[/tex] at ∝ = 5%, thus there is enough evidence to support the claim that the college students average daily ownership expenses are less than the national average.

Answer:

On a coordinate plane, triangle A B C has points (negative 6, 6), (6, 6), (6, negative 6). On a coordinate plane, triangle A prime B prime C prime has points (negative 2, 2), (2, 2), (2, negative 2).

Step-by-step explanation:

This is the only answer where the scale factor goes down a factor 1/3 from the pre image to new image

Answer:

66

Step-by-step explanation:

Since the triangels are similar, 3x+18=4x+2.

Let's solve that.

3x+18=4x+2

16=x

THIS IS NOT THE VALUE OF THE ANGLE! We have to plug x into one of the equations to find the answer.

3(16)+18=66

Answer:

depends how much the pizza is

Answer:

10(2x-1)

Step-by-step explanation:

Since the GCF (greatest common factor) of 20 and 10 is 10 We factor out the 10.

=> 10(2x-1)

Answer:

area of the square is 16 inches

area of the square = perimeter of the square

Step-by-step explanation:

each side of the square is 4" so

A = 4 x 4 or 16 sq in

P = 4 + 4 + 4 + 4 = 16 in

Answer: (0,5); y= 4

Step-by-step explanation:

We'll use the exponent rule that a^(b+c) = a^b*a^c

to break up 17^16 into 17^(14+2) = 17^14*17^2

That allows us to factor like so

17^16+17^14

17^14*17^2+17^14*1

17^14(17^2 + 1)

Computing 17^14 is a lot more difficult compared to computing 17^2 + 1, assuming you only could use paper and pencil.

Note that 17^2 = 17*17 = 289, so 17^2 + 1 = 289+1 = 290

Because 290 ends in a 0, this means that 5 is a factor

290 = 5*58

This makes 5 to be a factor of the original expression.

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

So overall,

17^16+17^14 = 17^14(17^2 + 1) = 17^14*290 = 17^14*5*58 = 5*17^14*58

The stuff "17^14*58" doesn't matter. All we care about is that factor of 5.

Since 5 is a factor, this means that 17^16+17^14 is a multiple of 5, or 17^16+17^14 is divisible by 5.

Phrased another way, 17^16+17^14 all divided over 5 leads to some integer. In this case, the integer would be the result of 17^14*58.

Answer:

10

Step-by-step explanation:

Answer: 0.4 >-8 /9(8+7)

Sorry if it isn't correct!!

Answer:

y=2x-10

Step-by-step explanation:

First change to equation into slope intercept form

2y=-x+6

y=-1/2x+3

slope=2 (beacause it is perpendicular)

y--4=2(x-3)

y+4=2x-6

y=2x-10

Answer:

x≥-6

Step-by-step explanation:

Answer:

Sales tax:20%

Amount of tax:$60

Answer:

radius=diameter/2=20/2

=10cm/100=0.1m

Area of a circle=πr^2

A=π×0.1×0.1

A=0.01πm^2

Answer:

Step-by-step explanation:

Answer:

there is no picture

Step-by-step explanation:

im sorry

Answer:

A

Step-by-step explanation:

because you dont have a chance

Answer:

C

Step-by-step explanation:

sorry if I'm wrong-

Answer:

57.5

Step-by-step explanation:

if you break it down into smaller shapes, there's a semicircle, three triangles and a rectangle.

circle πr² = π 2² = 4π² = 39.5

triangle 1 bh = (3)(2) = 6

triangle 2 bh = (4)(1) = 4

triangle 3 bh = (2)(4) = 8

Add them all up to get total area

6 + 4 + 8 + 39.5 = 57.5

the answer to your question might be (B).

Answer: 336 different ways

Step-by-step explanation:

Ok, we have a total of 8 horses, and we have 3 places.

First, second, third.

The total number of combinations will be equal to the product of the number of possible options that we have in each place.

For the first place, we could have any of the 8 horses, so there are 8 possible options.

For the second place, we will have 7 horses (because one is already in the first place) then here we have 7 options.

For the third place, we will have 6 horses (because one is in the first place and another is in second place) then here we have 6 options.

The total number of different ways in which the horses can finish is:

C = 8*7*6 = 336 different ways

Answer:

32

Step-by-step explanation:

Answer:

x = 8, so 6x = 48 and 4x + 10 = 42

Step-by-step explanation:

This is a right angle, so we can say that 6x + 4x + 10 = 90 = 10x + 10 = 90 = 10x = 80 = x = 8.