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3 years ago

An angle, θ, is in standard position. The terminal side of the angle passes through the point (4, 5).

Mathematics

1 answer:

lara31 [8.8K]3 years ago

5 0

Answer:

cos Θ = $\frac{4}{\sqrt{41} }$

Step-by-step explanation:

Given the angle passes through (4, 5 ) then the right triangle with sides 4 and 5 has hypotenuse h given by

h² = 4² + 5² = 16 + 25 = 41 ( take the square root of both sides )

h = $\sqrt{41}$

In relation to Θ, 4 is adjacent and 5 is opposite, thus

cos Θ = $\frac{adjacent}{hypotenuse}$ = $\frac{4}{\sqrt{41} }$

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PLEASE PLEASE HELP ME ASAP

Vika [28.1K]

Answer: DC=30.5

Step-by-step explanation:

Use trigonometry to solve this question

sin=O/H
cos=A/H
tan=O/A

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

First Step: find BD

- AB relative to 54° is [hypotenues]

- BD relative to 54° is [opposite]

- Therefore, we need to use O/H, which is Sin

- sin(54°)=O/20=20·sin(54°)=16.2

Second Step: Find DC

- DC relative to 28° is [adjacent]

- BD relative to 28° is [opposite]

- Therefore, we need to use O/A, which is tan

- tan(28°)=16.2/A=16.2/tan(28°)=30.5

Hope this helps!! :)

Please let me know if you have any questions

4 0

3 years ago

Find the fifth term of the binomial expansion. (x2+y5) ^8

OlgaM077 [116]

Answer:

The fifth term of the binomial expansion

$T_{5} = 70 x^{8} y^{20}$

Step-by-step explanation:

Step:1

Given that the binomial expansion

( x² + y⁵ )⁸

we know that

$T_{r+1} = n_{C_{r} } a^{r} x^{n-r}$ ...(i)

Step:2

put r = 4

$T_{4+1} = 8_{c_{4} } (x^{2} )^{4} (y^{5} )^{8-4}$

$T_{5} = 70 x^{8} y^{20}$

Final answer:-

The fifth term of the binomial expansion

$T_{5} = 70 x^{8} y^{20}$

6 0

3 years ago

HELP PLEASE HOW DO I DO THIS. SHOW WORK PLEASE

kozerog [31]

Ok don't panic!!!

First you look and see that 3 dozen is 36 and you need 720 cookies so that every person gets 2 cookies. so you first need to multiply 36 by 10 to get 360 then multiply that by 2.

So, in conclusion multipy each of the ingredients by 20! :)

17/16 x 20 = 340/16 of butter
5/8 x 20 = 100/8 of white sugar
7/4 x 20 = 140/4 of vanilla extract
15/8 x 20 = 300/8 of flour
5/6 x 20 = 100/6 of almonds
7/12 x 20 = 140/12 of confectioner's sugar

4 0

3 years ago

Read 2 more answers

Jan has 18 cards. Ray gives her v cards. Jan now has less

nika2105 [10]

Answer:

A. V + 18 < 30

Step-by-step explanation:

First of all, less than is the sign that points to the left,

Secondly, I'm guessing that y is actually V,

Before Ray gave Jan cards, she had 18,

so it is 18 plus V (the number of cards Ray gave her),

SO,

V + 18 < 30

8 0

3 years ago

Determine the non-permissible value(s) of the variable(s).

Serga [27]

Answer:

i) the value of a = 0 is non-permissible

ii) the value of b = 0 is non-permissible

Step-by-step explanation:

i) the given expression is $\frac{5a^{2} + 80a }{50ab^{2} }$

ii) if a = 0 then the expression will become infinity hence the value of a = 0 cannot be used

iii) if b = 0 then the expression will become infinity, hence the value of b = 0 also cannot be used.

iv) In the numerator of the expression if it is factorized we get 5a $\times$ ( a + 16)

if a = -16 then the value of the expression becomes zero.

4 0

3 years ago