Answers
Answer:
A) sin θ = 3/5
B) tan θ = 3/4
C) csc θ = 5/3
D) sec θ = 5/4
E) cot θ = 4/3
Step-by-step explanation:
We are told that cos θ = 4/5
That θ is the acute angle of a right angle triangle.
To find the remaining trigonometric functions for angle θ, we need to find the 3rd side of the triangle.
Now, the identity cos θ means adjacent/hypotenuse.
Thus, adjacent side = 4
Hypotenuse = 5
Using pythagoras theorem, we can find the third side which is called opposite;
Opposite = √(5² - 4²)
Opposite = √(25 - 16)
Opposite = √9
Opposite = 3
A) sin θ
Trigonometric ratio for sin θ is opposite/hypotenuse. Thus;
sin θ = 3/5
B) tan θ
Trigonometric ratio for tan θ is opposite/adjacent. Thus;
tan θ = 3/4
C) csc θ
Trigonometric ratio for csc θ is 1/sin θ. Thus;
csc θ = 1/(3/5)
csc θ = 5/3
D) sec θ
Trigonometric ratio for sec θ is 1/cos θ. Thus;
sec θ = 1/(4/5)
sec θ = 5/4
E) cot θ
Trigonometric ratio for cot θ is 1/tan θ. Thus;
cot θ = 1/(3/4)
cot θ = 4/3
Related Questions
what's the value of x?
Answers
Answer:
x=40
Step-by-step explanation:
Reflections have to be equal to each other.
Therefore, the equation is going to be 3x-6=114. This is equal to 3x=114+6. This is equal to 3x=120. x=120/3. x=40. Therefore, x=40.
If this helps please mark as brainliest
Answer:
X=40 pls mark brainlist it would really help
Step-by-step explanation:
3x-6 must equal 114. So...
3x-6=114
+6 +6
3x=120
/3 /3
x=40
how to finish homework in a short period of time…??????????:$3$; i’m desperate lol
Answers
Answer:
breath <3 Im in the same boat rn just calm down and believe in yourself
Step-by-step explanation:
get some snacks play music and relax
hope this helps <3 : )
Find area of the shaded segment vb and length of vb
Answers
Answer:
Area of length Vb = 25 square units
Area of segment Vb = 26 square units
Step-by-step explanation:
Area of length Vb = theta/360 * 2πr
Area of length Vb = 120/360 * 2*3.14 * 12
Area of length Vb = 1/3 * 75.36
Area of length Vb = 25 square units
Ares of length Vb is 25.1 sq. units
Area of shaded portion = Area of sector VUB - Area of triangle VUB
Area of sector VUB = theta/360 * πr²
Area of sector VUB = 120/360 * 3.14*144
Area of sector VUB = 1/3 * 452.16
Area of sector VUB =150.72
Area of triangle VUB = r²sintheta
Area of sector VUB = = 12²sin 120
Area of sector VUB = = 144(0.8660)
Area of sector VUB = 124.71
Area of the shaded segment = 150.72 - 124.71
Area of the shaded segment = 26.01
Area of the shaded segment = 26 sq. units
ace please help
plss
Answers
Answer: C $25
HOPE THIS HELPS
HELP ME PLSSSSSSSSSSSSSSSSSSSSSSSSSS
Answers
find the surface area of the prism
Answers
Answer:
Total surface area is 94 ft^2
Now,
T.S.A = 2 ( lb + bh + lh )
= 2 ( 3*5 + 5*4 + 3*4 )
= 2 ( 15 + 20 + 12 )
= 2 * 47
= 94 Sq. ft
This is Right Answer.....
I hope you understand....
A ball and a bat cost £90 in total. Three balls and two bats cost £210 in total. How much
does a bat cost?
Submit Answer
Answers
Answer: 60
Step-by-step explanation:
ball =x
bat = y
x + y = 90
and
equation II is
3 x + 2 y =210
By multiplying by 3 to equation I both sides
we get equation III as
3( x + y) = 3 ( 90 )
3x + 3y =270 III
subtract II and III
we get 3x+3y=270
- 3x+2y=210
--------------------------
0+y= 60
y =60
cost of bat is y ie = 60
and cost of ball ,is
let put value of y in equation I
x+60=90
x=90-60
x=30
cost of ball is 30
[tex] \sqrt{25} + \sqrt{16} = [/tex]
Tell me what the answer is
Answers
Answer:
The answer is 9
Step-by-step explanation:
√25 = 5
√16 = 4
Now,
√25 + √16
5 + 4 = 9
Thus, The answer is 9
-TheUnknownScientist
Answer:
9
Step-by-step explanation:
First step is to simplify the radicals
√25=5
√16=4
5+4=9
Anyone know how to do this?? I need help plss!!! Tyyy!!
Answers
the function has a y-intercept of (0,8) . and the function has a x-intercept of (2,0) . the function also has a x intercept of 4,0
Step-by-step explanation:
f(x) is basically just Y , so this is a table showing x and y coordinates. when x = 0 , it's a y intercept and when f(x) or Y = 0 , it's a x intercept !
Which of the following do not represent the measures of the sides of a triangle?
A)57, 80, 24
B) 43, 133, 89
C) 5, 6, 7
D 20, 20, 30
Answers
===========================================================
Explanation:
For this answer choice, we have p = 43, q = 133, and r = 89. Note how p+r = 43+89 = 132, which is not larger than the third remaining side q = 133. Therefore, p+r > q is false and a triangle cannot be formed.
A triangle is only possible if and only if adding any two sides leads to a sum larger than the third side (triangle inequality theorem).
Put another way, we must have these three conditions hold true for a triangle to form:
p+q > rp+r > qq+r > pIf any of those three are false, then we cannot make a triangle with side lengths p,q,r
-----------------
Let's go over choice C for an example in which we can form a triangle
p = 5, q = 6, r = 7
We can see that,
p+q = 5+6 = 11 which is greater than r = 7. So p+q > r is true.p+r = 5+7 = 12 which is greater than q = 6. So p+r > q is true.q+r = 6+7 = 13 which is greater than p = 5. So q+r > p is true.All three conditions are true, and therefore we have a triangle that is possible with side lengths p = 5, q = 6, r = 7. I recommend cutting out slips of paper with these lengths to try it out yourself, so you have a real world example to play with. Choices A and D are a similar story to choice C, so we can rule out all three of these choices.
What is the volume of this Triangular Prism?
Answers
Step-by-step explanation:
V = 0.5 X b X a X h
V = 0.5 × 5 × 4.3 × 14
V = 150.5in
if n = 3a - 6 which inequality below will make n a positive number
Answers
Answer:
Step-by-step explanation:
Solve by using substitution.
=3−8
=−4
Answers
Answer:
I'm going to assume that you meant y=3x-8 and y=-4
This means that you would substitute -4 into the spot of y which gives you -4=3x-8. Once solved you would receive x=4/3.
Hope I helped have a nice day :)
Type the missing number in this sequence: 90, 78, 72, 66, 60, 54
Answers
Answer:
48
Step-by-step explanation:
minus 6 every number
No links, ty <3
4. At a store, 3 bags of peanuts were sold for $18. Determine if each statement has the same unit rate as the original statement or a different unit rate. Check a box for each statement to indicate “Same unit rate” or “Different Unit Rate.”
boxes are In a pic
Answers
Answer:
sAy yOu aRe mY bAkA
Step-by-step explanation:
ty for the points <3
plz help i give brainlist !!!!!!!!!1 help now please
Answers
Answer:
option 3
Step-by-step explanation:
Here are the last questions from my previous post!
Answers
Answer:
1 - C (38 cm)
2 - A (13)
3 - C (4x + 44 = 180)
Step-by-step explanation:
The volumes of two-spheres are in the ratio of 8:27. The radius of the smaller sphere is 30 inches. Find the radius of the larger sphere.
Answers
Answer:
45 in
Step-by-step explanation:
Given 2 similar figures with ratio of radii = a : b , then
ratio of volumes = a³ : b³
Here ratio of volumes = 8 : 27 , then
ratio of radii = [tex]\sqrt[3]{8}[/tex] : [tex]\sqrt[3]{27}[/tex] = 2 : 3
let r be the radius of the larger sphere then by proportion
[tex]\frac{2}{30}[/tex] = [tex]\frac{3}{r}[/tex] ( cross- multiply )
2r = 90 ( divide both sides by 2 )
r = 45
The radius of the larger sphere is 45 in
Need this question completed as soon as possible! Please!
Answers
Answer:
B is the answer
Step-by-step explanation:
I converted each option to decimals so answer b looks like
2.25> 2.23> -2> -2.2
PLS HELP I WILL GIVE OUT BRAINILEST!!!!!
Answers
Help please!! Quickly!!
The length of a dog run is twice its width. Its area is 50 square yards.
Find the length and width of the dog run.
Answers
Answer:
Length = 10 yards Width = 5 yards
Step-by-step explanation:
2w x w = 50 yards²
2w² = 50 yards²
2w²/2 = 50 yards² / 2
[tex]\sqrt{w^{2} }[/tex] = [tex]\sqrt 25 yards^{2}[/tex]
w = 5
Area = l x w
= 10 x 5 = 50
length = 2w
width = w
length = 2(5)
length = 10 yards
Complete the paragraph to show how you can solve problems involving equivalent expressions.
_______________with bar models or algebra tiles to determine if the expressions are_________.You can also write equivalent expressions using_________________________and order of operations.
Blank 1 options.
Evaluate the variables.
Model the expressions.
Follow the order of operations.
Use numerical expressions.
Blank 2 options.
Mathematical.
Solvable.
Equivalent.
Theoretical.
Blank 3 options.
Properties of expressions.
Numerical expression.
properties of operations.
Variable expressions.
Answers
Answer:
Step-by-step explanation:
Model the expressions
with bar models or algebra tiles to determine if the expressions are
Equivalent.
You can also write equivalent expressions using
properties of operations
and order of operations.
Answer:
Step-by-step explanation:
Blank 1
Model the expressions.
Blank 2 options.
Equivalent.
Blank 3 options.
properties of operations.
A sphere with a radius of 6 pi.What is the surface area of the sphere 36Pi3 square units 114Pi2 square units 144Pi3 square units 576Pi4 square units
Answers
Answer:
6×36=216.I hope the answer is correct. I will be happy when I get 5 pointsAnswer:
Step-by-step explanation:
PLEASE I NEED HELP ASAP!!!?
Answers
Answer:
11√3-7√6
im good at these, just hit me up if you need more help ;)
A cyclist cycles a distance of 45 miles in a time of 3 hours.
What is her average speed?
Answers
How many different meal combinations can she make in all
Answers
Parallelograms 1 and 2 are similar. The perimeter of parallelogram 1 is 12 centimeters and the perimeter of parallelogram 2 is 18 centimeters. 2 y What is the ratio Y : Z?
1. 9:4
2. 4:9
3. 2:3
4. 3:2
Answers
Answer:
You can set up the ratio 12.4:18.6 because it says that the parallelograms are similar.
Now simplify as much as possible
12.4:18.6
6.2:9.3
2:3
Step-by-step explanation:
Hope this helps! If it's wrong let me know so i can re-check it.
В.
Julie is making a banner shaped like a
parallelogram with a base of 8. feet and
a height of 6 feet. How many square feet
of material will Julie need for the banner?
Answers
I NEED THIS TOMORROW AT THE LATEST! ITS FOR A 100 POINT TEST AND IM FALLING MATH SO PLEAS HELP!!!! SOS
Evaluate the expression for the given value.
2w+2l when w=7, l=5
Answers
Answer:
Solution given:
we have
2w+2l
when w=7, l=5
2w+2l=2×7+2×5=14+10=24
Step-by-step explanation:
hope it is helpful to you
Which triangle is congruent to ABC?
Answers
Answer:
c
Step-by-step explanation:
the awnser is c
The triangle in option (D) follows the property of congruence triangle.
Therefore option (D) is correct.
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the angles of a triangle is always 180°
In the given triangle ABC,
Two sides AB, and BC are given.
And two angle B and C are shown.
To find the triangle which is congruent to ABC,
Use Angle-side-Angle property,
According to ASA property,
One side and two angles should be equal.
The triangle in option (D) shows the ASA property.
Hence, option (D) is correct answer.
To know more about Triangle on:
https://brainly.com/question/2773823
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