If

θ

θ

is an acute angle of a right triangle and

tan θ=

3

5


tan⁡ θ=35

, what is the value of

cosθ

cos⁡θ

?

Answer:

Step-by-step explanation:

you have to use trigonometric functions

cos 30 = adj. /hyp.

cos 30 = 12 / y

y = 12/cos 30 ≅13.86

tan 30 = opp./adj

tan30 = x / 12

x = 12 tan30 ≅6.93

Answer:

Height = 5meters

Step-by-step explanation:

Using the formula h= v over 3.14r^2 = 141.3 over 3.14 times 3^2 gives us 4.99747 meters.

Answer:

C. ⅓ × (8 + 7) + 12

Step-by-step explanation:

Let's translate each statement given to numerals and symbols first:

Twelve => 12

One-third => ⅓

Sum of 8 and 7 => (8 + 7)

Representing this statement altogether will be:

⅓ of (8 + 7) = ⅓ × (8 + 7)

If 13 is added, we would get:

⅓ × (8 + 7) + 12

Answer:

18+45m

Step-by-step explanation:

You multiply when applying the distributative property:

9(2+5m)

18+45m multiply 9 by each value in parentheses

Answer:

14.18

Step-by-step explanation:

3.2*4.9= 15.68

15.68 -1.5 = 14.18

Answer:

800

hope this helps

Answer:

the Kinetic Energy of the marble at the later point is 0.0007 J

Step-by-step explanation:

Given;

initial potential energy of the marble, P.E₁ = 0.0018 J

final potential energy of the marble, P.E₂ = 0.0011 J

At the initial starting point, the total mechanical energy is;

M.E = K.E + P.E

at the initial starting point, velocity = 0

M.E = 0 + P.E

M.E = P.E = 0.0018 J

At some point later, the total mechanical energy is;

M.E = P.E + K.E

0.0018 J = 0.0011 J + K.E

0.0018 J - 0.0011 J = K.E

0.0007 J = K.E

Therefore, the Kinetic Energy of the marble at the later point is 0.0007 J

Answer:

246

Step-by-step explanation:

271-25=246

Answer:

52 meters squared

Step-by-step explanation:

Hey, don't worry you'll do great on the test. Just relax before it and you'll be fine.

Basically, you need to find the area of each rectangle which isn't too hard. AS you can see, the first one 4 m x 5m = 12 m which is your first number. Then you can see another red rectangle. Since it's a net, the 4m side length would be the same and the other one is labeled 3 m. So, 4x3 = 12m. That's your second one. Then you see a yellow rectangle on the far left. Since we know the red rectangle has one side length of 3m, we can apply that to the yellow ones as well since it's a net. So 2x3=6 and same for the other yellow rectangle. Then, we see the purple rectangle on the top which has one length of 2m. But, the red rectangle below it had a length of 4m so we can bring that to this as well. so 2x4 = 8m (another number). Then, finally, the last rectangle below has one side of 4m and the yellow rectangle (remember) above has one side length of 2m (which we would bring down). So, 4x2=8m. So, we add them all together. 12+12+8+8+6+6 = 52 meters squared (dont forget units!)

Sorry if this was too long, but an edit: if you notice all the same colored rectangles have the same area, since it's a rectangular prism. so if you find one of the same color, you basically have the other one as well.

Good luck on your test, hope you do well!!

Answer:

13/8, 13 to 8, 13:8

Step-by-step explanation:

if they won 50 more than they lost and won a total of 130 games, this means they lost 80 games (130-50=80). we can then write this as 130:80, which simplifies to 13:8

Answer:

The answers are 13/8, 13 to 8, 13:8.

Step-by-step explanation:

Since Frederico's team won 50 more games than they lost, and the won 130 games, then you would subtract the two numbers to find their losses:

130 - 50 = 80

The ratio of there wins to losses is 130 to 80.

Then you need to simplify this answer, which would make the ratio 13 to 8.

Three ways to write this are 13/8, 13 to 8, 13:8.

It would be ABSOLUTLEY FANTABULOUS if I could get brainliest!!!!

Answer:

The 3rd one which is C

Step-by-step explanation:

It's the 3rd one because if you look at the orange like where the 2 and the 4 is you will see the orange line is between them two which that's where the 3 will go and the others don't have that, so it C hope this helps you!

Answer:

try c

Step-by-step explanation:

Answer:

132

Explanation:

All you need to do is separately find the area of the shapes that are part of the figure (in this case the trapezoid and rectangle), and then add them all up.

1.(7x4) + (1/2x8[7+19])

2. 28 + 104

3. 132

~Hope this helps you~

Answer:

E. 8

Step-by-step explanation:

It's a special right angle triangle. Hypotenuse is

[tex] \sqrt{2} x[/tex]

where x is the length of other legs. Also other two sides of triangle are always equal.

So to find the other leg divide by .

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

The length will be 8.

Answer:

Amount of butter need for 1 cup of oil = 2 cup of butter

Step-by-step explanation:

Given:

Amount of butter need for 1/2 cup of oil = 1 cup

Find:

Amount of butter need for 1 cup of oil

Computation:

Amount of butter need for 1/2 cup of oil = 1 cup

1 cup butter = 1/2 cup oil

So,

Amount of butter need for 1 cup of oil = 1 / [1/2]

Amount of butter need for 1 cup of oil = 1 / [0.5]

Amount of butter need for 1 cup of oil = 2 cup of butter

Answer:

Dot plot A

Step-by-step explanation:

In other obtain the solution to the question given, we obtain the frequency distribution of the data values given and compare to the box plots given to identify which boxplot correctly conveys the data.

___ Frequency

6 1/2 - 1

6 3/4 - 2

7 = 5

7 1/4 = 4

7 1/2 = 5

7 3/4 = 2

8 1/4 = 1

Answer:

[tex] \frac{x + 13}{8} = \frac{21}{x - 9} \\ {x}^{2} + 4x - 117 = 168 \\ {x}^{2} + 4x - 285 = 0 \\ (x - 15)(x + 19) = 0 \\ x = 15 \\ x = - 19[/tex]

Answer:

x = 9

Step-by-step explanation:

When y = 6 :

2x + 3y = 36

2x + 3(6) = 36

2x + 18 = 36

2x = 36 - 18

2x = 18

x = 9

Answer:

20 percent

Step-by-step explanation:

50 - 30 = 20 percent

Answer: 62.8 yd

Step-by-step explanation:

Circumference= diameter*pi

20*3.14= 62.8

Answer:

Option 3

Step-by-step explanation:

Given inequality is,

[tex]3m\geq 21[/tex]

To find the solutions of the given inequality solve this inequality first.

[tex]\frac{3m}{3}\geq \frac{21}{3}[/tex]

[tex]m\geq 7[/tex]

This inequality will be represented by an arrow starting from 7 and directing towards infinity.

Since, inequality is having a sign notation of greater than equal to, arrow will start with a dark circle located at 7.

Therefore, Option 3 (from the top) will be the answer.  

Answer:

1072.3[tex]ft^{3}[/tex]

Step-by-step explanation:

A hemisphere is half of a sphere, so the volume V of the hemisphere is the volume of the sphere divided by 2.

V = (2/3)*[tex]\pi[/tex][tex]r^{3}[/tex]

   = (2/3)*[tex]\pi[/tex][tex](8ft)^{3}[/tex]

   = (2/3)*[tex]\pi[/tex]*512[tex]ft^{3}[/tex]

   = 1072.3[tex]ft^{3}[/tex]

Answer:

Angle 1 = 102

Angle 2 = 40.9

Step-by-step explanation:

[tex]1)\ 180 - 121.8 = 58.2[/tex]

[tex]2)\ angle\ 2 = 58.2 - 17.3 = 40.9[/tex]

[tex]3)\ angle\ 1 = 180 - 40.9 - 37.1 = 102[/tex]

Answer:

m∠1  = 67.4°      m∠2 = 104.5°

Step-by-step explanation:

17.3 + m∠2 = 121.8

m∠2 = 104.5°

m∠1 + 37.1 = m∠2 = 104.5

m∠1  = 67.4°

Answer:

[tex](b)\ 2 * (7 + 8) = (2 * 7) + (2 * 8)[/tex]

Step-by-step explanation:

Given

[tex](a)\ 2 * (7 + 8) = (2 + 7) * (2 + 8)[/tex]

[tex](b)\ 2 * (7 + 8) = (2 * 7) + (2 * 8)[/tex]

[tex](c)\ 2 * (7 + 8) = (2 * 7) + 8[/tex]

Required

Which illustrates distributive property of multiplication over addition

The property states that:

[tex]a(b + c) = a * b + a * c[/tex]

By comparison

[tex]a = 2\ b = 7\ c = 8[/tex]

So, we have"

[tex]2(7 + 8) = 2 * 7 + 2 * 8[/tex]

[tex]2(7 + 8) = (2 * 7) + (2 * 8)[/tex]

Answer:

17.14

Step-by-step explanation:

tan 35 = 12/x

x = 12/ tan 35

= 17.14

Answer:

h(-11) = 68.57

Step-by-step explanation:

h(x) = 18.75 - 4.53x

h(-11) = 18.75 - 4.53(-11)

h(-11) = 18.74 + 49.83

h(-11) =:68.57