35-3 (4+7) 4+3 can someone help me solve that I need help with it

What is the value of cosec720

shusha [124]

Answer:

csc 720 )

Step-by-step explanation:

Rewrite

csc

(

720

)

in terms of sines and cosines.

1

sin

(

720

)

Remove full rotations of

360

° until the angle is between

0

° and

360

°.

1

sin

(

0

)

The exact value of

sin

(

0

)

is

0

.

1

0

The expression contains a division by

0

The expression is undefined.

Undefined

5 0

3 years ago

The difference of two complementary angles is 17 degrees. Find the measures of the angles.

Olenka [21]

Answer:

53.5 and 36.5

The Sum of two angles is 90 degree

Is called complementary angle

53.5 + 36.5 =90

53.5 - 36.5 =17

6 0

3 years ago

Explanations not just answers: Sarah measures the angle of elevation to the top of a tree as 23.6 degrees from the point which i

Reika [66]

See the attached diagram.

In the right triangle, x is opposite the 23.6 degree angle, and the adjacent side is 250 m. This suggests using the tangent ratio.

$\frac{x}{250}=\tan 23.6 ^\circ \\ x=250 \cdot \tan 23.6^\circ \approx 109.2$

Finally, to get the height of the tree, add Sarah's height, 1.5 m.

The tree is approximately 110.7m tall.

6 0

4 years ago

Let an be the sum of the first n positive odd integers.

sesenic [268]

Answer:

A) The first 4 terms of the sequences are: $a_{1} =16$ , $a_{2} =24$ , $a_{3} =32$ and $a_{4} =40$ .

B) An explicit formula for this sequence can be written as: $a_{n} =8*(n+1)$

C) A recursive formula for this sequence can be written as:

$\left \{ {{a_{1} =16} \atop {a_{n} =a_{n-1}+8}} \right.$

Step-by-step explanation:

A) You can find the firs terms of this sequence simply selecting an odd integer and summing the consecutive 3 ones:

$a_{n} = Odd_{n}+Odd_{n+1}+Odd_{n+2}+Odd_{n+3}$ (a.1)

$a_{1}=1+3+5+7=16$

$a_{2}=3+5+7+9=24$

$a_{3}=5+7+9+11=32$

$a_{4}=7+9+11+13=40$

B) Observe the sequence of odd numbers 1, 3, 5, 7, 9, 11, 13(...).

You can express this sequence as:

$Odd_{n}=(2*n-1)$ (b.1)

If you merge the expression b.1 in a.1, you obtain the explicit formula of the sequence:

$a_{n} = Odd_{n}+Odd_{n+1}+Odd_{n+2}+Odd_{n+3}$ (a.1)

$a_{n} = (2*n-1)+((2*(n+1)-1))+((2*(n+2)-1))+((2*(n+3)-1))$ (b.2)

$a_{n} = 8*n+8$ (b.3)

$a_{n} =8*(n+1)$ (b.s)

C) The recursive formula has to be written considering an initial term and an N term linked with the previous term. You can see an addition of 8 between a term and the next one. So you can express each term as an addition of 8 with the previous one. Therefore, if the first term is 16:

$\left \{ {{a_{1} =16} \atop {a_{n} =a_{n-1}+8}} \right.$ (c.s)

5 0

3 years ago

Challenge Yael used to have a square garage with 370 ft ^2of floor space. She recently built an

Yuki888 [10]

Scale factor of area is the square of the scale factor of length

The required values are;

The length of one sides of the garage was originally approximately 19.2 ft.

The length of one of the sides of the garage is now approximately 23.6 feet long

The percentage increase in length is approximately 22.5 %

Reason:

The given parameters are;

The area of the square garage = 370 ft.²

The area of the new garage has 50% more space

Required;

Part A

The initial side length

The initial side length, given to the nearest tenth, s, is the square root of the area, A, given as follows;

s = √(370 ft.²) ≈ 19.2 ft.

Part B

The side was increased by 50%, to give,

370 + 0.5×370 = 555

The new area of the garage = 555 ft.²

The side length of the new garage, s = √(555) ≈ 23.6

The side of the garage now is 23.6 ft.

Part C

The percentage increase is given as follows;

$The \ percentage \ increase \ in \ length = \dfrac{New \ length - Initial \ length}{Initial \ length }$

$The \ percentage \ increase \ in \ length = \dfrac{\sqrt{555} - \sqrt{370} }{\sqrt{370} } \times 100 \approx 22.5 \%$

The percentage increase in length of the side of the garage is approximately 22.5 %

Learn more here:

brainly.com/question/7639412

3 0

3 years ago