Mathematics College

Suppose x=18,y=24, and z=30 in the figure, which is not drawn to scale. Determine the following values. Enter exact answers (as fractions), not decimal approximations. (e.g., enter 1/2 not 0.5)

cos(θ)=

sin(θ)=

tan(θ)=

cos(ϕ)=

sin(ϕ)=

tan(ϕ)=

Answers

Answer 1

Answer:

See explanation

Step-by-step explanation:

cos(θ)= 18/30 = 3/5

sin(θ)= 24/30 = 4/5

tan(θ)= 24/18 = 4/3

cos(ϕ)= 24/30 = 4/5

sin(ϕ)= 18/30 = 3/5

tan(ϕ)= 18/24 = 3/4

Answer 2

The value of the trigonometric ratios have been determined.

What are Trigonometric Ratios ?

In a Right angled triangle , the trigonometric ratios are used to determine the value of angles and sides.

The side length of the triangle as given in the figure is 18 , 24 , 30

The value of the trigonometric ratios are

cos θ = Base / Hypotenuse

sin θ = Perpendicular / hypotenuse

tan θ = Perpendicular / Base

cos(θ)= 18/30 = 3/5

sin(θ)= 24/30 = 4/5

tan(θ)= 24/18 = 4/3

cos(ϕ)= 24/30 = 4/5

sin(ϕ)= 18/30 = 3/5

tan(ϕ)= 18/24 = 3/4

Therefore the value of the trigonometric ratios have been determined.

To know more about Trigonometric Ratios

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Related Questions

Plz help me on this one.

Answers

Answer: 2

Step-by-step explanation:

Answer:

To find the value of x, add 5 to each side.

x - 5 = 13

+5 +5

x = 18

QUICK PLEASE HELP!!!
I’LL MARK BRAINLIEST!!!

Answers

Answer:

C) 50

Step-by-step explanation:

Answer:

C: 50

Step-by-step explanation:

The inner diamond has congruent sides

Half of the line segment on the left is 25.

The other half of the left line segment is also 25

Together, the left line segment is 50 units

The inner diamond has both 90 degree angles and 18 unit long sides

Thus, we know that both sides are congruent

Finally, the right side is the same length as the left side

The right side is 50 units long

Answer the question

Answers

Answer:

Step-by-step explanation:

demos

Will give brainlst
Have a nice day

Answers

The correct answers are A for Q5,
D for Q6, and C for Q7

A
D
C

The Pythagorean Therom is most helpful

A^2 + B^2 = C^2

The diameter of a circle is 8 centimeters. What is the circle's circumference?

Answers

Answer:

25.13 centimeters

Step-by-step explanation:

Write an addition problem involving i that results in the simplified expression 5-2i

Answers

Answer:

-5+2i

Step-by-step explanation:

Triangle DEF has coordinates D (5,2), E (5,-2), and F(-4, 0). Which of the
following statements is true about triangle DEF?*
The triangle has no lines of symmetry.
Both

Answers

Answer:

Well, I don't have further explanation to this question but I know the answer which is: The x-axis is the only line of symmetry

PLEASE ANSWER WITHIN THE NEXT 5 MINUTES!!!!!!! Kara and Steven are biking around a 105 kilometer path. They start biking from the same place, at the same time. Kara bikes at a speed of 15 km/h and Steven bikes at a speed of 30 km/h. How long will it take Steven to be at the same place at the same time with kara.

Answers

Step-by-step explanation:

105/30=3.5 hours for steven

105/15=7 hours for Kara.

they would be b at the same place in 7 hours when Kara catches up at 105km lol

Answer:

7 hrs

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Valerie and Bret have a total 18 dog show ribbons. Bret has twice as many ribbons as
Valerie
How many ribbons does each have?
no

Answers

Twice = double, double means x2 so 18/2 is 9 9x2=18 so valerie has 9 ribbons — hope this helps!

Answer: Valerie has 9 and Bret has 18

Step-by-step explanation:

27-18= 9

Which of these choices are square roots of 144? Check all that apply.

Answers

Answer:

Step-by-step explanation:

According to order of operations, which operation should be done first in this
problem:
45 - 9.5 + 8
a. multiplication
b. addition
c. division

Answers

D) division (PEMDAS)

Which of the following represents the equation of a line that is parallel to 2y - x = 16 and passes through the
point (-6,1)

Answers

Answer: it could be d

By I’m smart

Step-by-step explanation:

if you actually know plz give an explanation to the answer so i know you aren't just answering for points, please help this is due before 12:00

Answers

Answer:

Step-by-step explanation:

There is a 1/4 probability of getting an A out of a bag with letter MATH

For B) There are two A's our of 8 letters is ADMIRALS.

2/8 is the same as 1/4

The answer is B

A) is wrong because that 1/6

C) is wrong because that's 1/8

D) is wrong because that's 2/9

Answer:

Step-by-step explanation:

Probability of finding A in a word = number of A / number of letters in that word

Probability of finding A in MATH = 1/4

A. Probability of finding A in BECAME = 1/6

B. Probability of finding A in ADMIRALS = 2/8 = 1/4

C. Probability of finding A in USERNAME = 1/8

D. Probability of finding A in AFTERMATH = 2/9

So we have a match with option B

6) A spinner is
divided into 5 sections
lettered A to E. Lena
spins the pointer on
the spinner 25 times.
She records her
results in the table.
Based on these results,
lands on the letter B?
B is 5

Answers

Answer:

1/5

Step-by-step explanation:

there are 5 sections regardless of how many time she rolls it ti does not change the probability of landing on b so it's 1/5

Can somebody help please

Answers

what do you need help with??

What is the asymptote of this function?
A. X= 3
B. Y= 3
C. X= 4
D. Y= 4

Answers

[tex] \huge \sf \pink{Answer}[/tex]

D. Y=4

[tex] \huge \sf \pink{Reason}[/tex]

Because it is situated on the upper axis,which we called Y-axis.If we count the sequence then the line was on number. 4.

Hence,the answer is number 4.

[tex] \huge \sf \pink{Verification}[/tex]

For verification we mark a point on that line and count the sequence.We will find that it is on 4.

Hence,Verified✔️

Note:For verification u can see attachment

Solve the equation for x. X2 + 10x + 16 = 0 O A. -8,-2 OB. 8,2 OC.-4 OD. 4

Answers

Step-by-step explanation:

[tex] {x}^{2} + 10x + 16 = 0 \\ factors : 2 \: and \: 8 \\ = > {x}^{2} + 2x + 8x + 16 = 0 \\ x(x + 2) + 8(x + 2) = 0 \\ (x + 8)(x + 2) = 0 \\ hence \\ x = - 8 \: and \: - 2 \\ = > A. -8,-2[/tex]

Help will give brainly of aw ser is right

Answers

Answer:

40 is your answer:)

Step-by-step explanation:

4x3= 12

12/2=6

6x4=24

4x4=16

24+16= 40

Hailey made the following statement
"It is impossible to build a rectangular prism with a volume of 40 units it one side measures 5 units."
Key
represents
1 cubic unit
Select the two figures below that prove Hailey's statement is false

Answers

Answer:

Step-by-step explanation:

Can someone help me with this? I am a little confused

Answers

28 .to explain they want to know the missing side and the triangles are equal to each-other just one is projected smaller than the other . So the one with 16 16 and 24 is the smaller one . The difference between 24-16 is 8 . And In the bigger one the sides 20 and 20 where given so since the smaller one is equal to the bigger one you just do 20+8=28

Use f(x)=-2x+5 to find x when f(x)=11

Answers

When it asks this question, ultimately you want to plug 11 into x because its f(x). 11=-2+5.

Then you subtract 5 on both sides because of the opposite of addition is subtraction.

6=-2x

now divide on both sides

x=-3

Emiliano firmó hoy un pagaré por la cantidad de $ 92.000. la tasa de interés estipulada es un 20% anual
Cuantos dias se necesitan para los intereses de la playa $ 8.000

Answers

Answer:

159 días.

Step-by-step explanation:

Dado que Emiliano firmó hoy un pagaré por la cantidad de $ 92.000 a una tasa de interés estipulada de un 20% anual, para determinar la cantidad de días que se necesitan para que dicho interés genere unos $8.000 se debe realizar el siguiente calculo:

92.000 x 0.2 = X

18.400 = X

18.400 / 365 = 50,41

8.000 / 50,41 = X

158.69 = X

Así, se necesitarán 159 días para que se generen $8.000 en intereses.

I need help solving this equation 7/(x+1)-3/2=8/3x+3

Answers

Answer:

5/16,-3

Step-by-step explanation:

I didn't actually solve this by myself, I used this website to solve this.

Devon can take one of three different buses to and from work (bus a, b or c). he randomly catches one bus in the morning and another one on teh way home. teh table list the sample space of outcomes

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Please tell me if I got it right

Answers

Answer:

1/9

Step-by-step explanation:

1/3 / 3 = 1/9

she will run 1/9

jog 1/9

and walk 1/9

to check all of them equal 1/3

1/9+1/9+1/9 = 3/9 = 1/3

33) 90÷18-18÷6-6÷3=
Preciso de ajudaaaa

Answers

Answer:

Step-by-step explanation:

(90÷18)-(18÷6)-(6÷3)= 72-3-2= 67

Find the value of x

Answers

Answer: x is 13

Step-by-step explanation:

90 - 67 is 23. Then you figure out what times 2 minus 3 is 23. Which would be 13. 13 times 2 is 26 minus 3 is 23. 67 + 23 is 90 ( right triangle)

Answer:

x=13

Step-by-step explanation:

The two angles are complementary, meaning that they both add up to 90°.

So, since we know that one of the angles is 67°, we can find the other one by subtracting 67 from 90.

90-67=23

So the equation is equal to 23.

2x-3=23

Add 3 to both sides.

2x=26

Divide both sides by 2.

x = 13

PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

<HIK to <GFD

Step-by-step explanation:

Alternate exterior angles are angles that are on the exterior sides alternately on a transversal

Answer:

∠HIK and ∠GFD

Step-by-step explanation:

Alternate exterior angles are angles that lie on the same parts of the parallel lines, but on alternate (different) sides.

∠HIK is on the lower left.

∠GFD is on the upper right.

URGENT GIVING BRAINLIEST
no links no scams no fake answers no guessing use evidence if you get it correct with evidence i will give you 100 points

Answers

Answer: The mode is 3

The range is 12

Step-by-step explanation:

The mode is the most frequently appearing number

The range is the difference between the highest and lowest numbers

12 - 0 = 12

Evaluate A2-B2 for A = 3 and B = -4.
O-2
0-7
Lenovo

Answers

Answer:

3×2+(-4)×(-2)=6+8=14

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Suppose x=18,y=24, and z=30 in the figure, which is not drawn to scale. Determine the following values. Enter exact answers (as fractions), not decimal approximations. (e.g., enter 1/2 not 0.5)cos(θ)= sin(θ)= tan(θ)= cos(ϕ)= sin(ϕ)= tan(ϕ)= ​

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Suppose x=18,y=24, and z=30 in the figure, which is not drawn to scale. Determine the following values. Enter exact answers (as fractions), not decimal approximations. (e.g., enter 1/2 not 0.5)

cos(θ)=

sin(θ)=

tan(θ)=

cos(ϕ)=

sin(ϕ)=

tan(ϕ)=