Which trigonometric ratio for a˚ belongs with each value. Enter sin, cos, or tan in each box.

A right angle triangle with one angle a degree. The adjacent sides 6 and opposite side is 9. The hypotenuse 3 square root of 13.

= 313√13

= 213√13

= 32

Answers

Answer 1

Hey there! I'm happy to help you!

When talking about trigonometric ratios, we can use a handy little mnemonic device called soh cah toa which shows us the ratios for each one. Soh is sine equals opposite over hypotenuse, cah is cosine equals adjacent over hypotenuse, and toa is tangent equals opposite over adjacent.

In our triangle, we can apply the following with the given information.

[tex]sin=\frac{opposite}{hypotenuse} =\frac{9}{3\sqrt{13} } =\frac{3}{\sqrt{13} } =\frac{3\sqrt{13} }{13} \\\\cos=\frac{adjacent}{hypotenuse} =\frac{6}{3\sqrt{13} } =\frac{2}{\sqrt{13} } =\frac{2\sqrt{13} }{13} \\\\tan=\frac{opposite}{adjacent} =\frac{6}{9} =\frac{2}{3}[/tex]

Therefore, the answers will be sin, cos, and then tan going down in the answer order you gave!

I hope that this helps! Have a wonderful day!


Related Questions

Look at the figure below. Which of the following statements could be a step in a proof that vertical
angles are congruent?
APC = DPB because angles formed by the
same pair of intersecting lines are congruent to each
other.
ZAPC ZDPB because angles complementary
to the same angle are congruent to each other.
ZAPC ZDPB because angles adjacent to the
same angle are congruent to each other.
ZAPC ZDPB because angles supplementary to
the same angle are congruent to each other.

Answers

Answer:

ZAPC ZDPB because angles adjacent to the

same angle are congruent to each other.

Step-by-step explanation:


Adding and subtracting radicals

Answers

the correct answer would be 0 i believe

help asap will mark brainliest

Answers

Answer:

Step-by-step explanation:

x = 105

the angle vertically opposite to x is 105 as it is corresponding to 105

and corresponding angles are equal

since vertically opposite angles are equal too, then x = 105 too

Answer:

Step-by-step explanation:

x = 105 {alternate exterior angles are equal}

When two parallel lines are intersected by the transversal, alternate exterior angles are equal

Which of the following shows the correct solution steps and solution to

3x-2= -11

Answers

Answer:

the third one is correct

Step-by-step explanation:

The third one is correct

8,11,14,14,13,15,9 Mean median mode Range​

Answers

Answer:

Mean:12

Median:13

Mode:14

Range:7

Step-by-step explanation:

The Mean is the average.

8+11+14+14+13+1+9/7=12

The Median is the Middle number when in order from least to greatest.

8,9,11,13,14,14,15

The Mode is the number that appears the most.

14 Appears Twice

The Range is the largest number minus the smallest

15-8=7

What is the ratio of the volume of Cylinder A to the volume of Cylinder B? if cylinder a has the height of 4 and radius of 3 and cylinder b has the the height of 3 and radius of 4

Answers

Answer:

3/4

Step-by-step explanation:

Cylinder A

V = πr^2h

V = π(3)^2(4)

V = 36π

Cylinder B

V = π(4)^2(3)

V = 48π

36π/48π

3/4

I really need help and I would greatly appreciate it

Answers

Answer:

a.  15.78

3/19 × 100% = 15.78

    b. 7

12-5 = 7

To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.

  c. 8

because 8 divides the age group making half the people younger than this age and half are older

2 . a - highest point is 8.7

     c . georgina did better then half of the other gymnists which can be seen because the highest point is 8.7 where there are many who 7.7

mark brainliest pls

how many twentieths equal three-fifths

Answers

Answer:

12

Step-by-step explanation:

It takes twelve 1/20 tiles to exactly cover three 1/5 tiles, so 35=12/20.

The number of twentieths required to make three fifths is required.

Twelve twentieths equal to three-fifths

The question can be rephrased as "How many times do you have to add [tex]\dfrac{1}{20}[/tex] to get [tex]\dfrac{3}{5}[/tex]"

The end result should be [tex]\dfrac{3}{5}[/tex]

Let the number of times be [tex]x[/tex]

[tex]x\times \dfrac{1}{20}=\dfrac{3}{5}\\\Rightarrow x=\dfrac{3}{5}\times 20\\\Rightarrow x=12[/tex]

So, twelve twentieths equal to three-fifths.

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need help quick plz​

Answers

I’m gonna say it’s A?

Expand and simplify (x + 5) ( x + 6)

Answers

Answer:

x^2 + 11x + 30

Step-by-step explanation:

Which of the following sets of points are vertices of a right triangle?
1) A(-1, -3), B(4, -3), C(2, -1)
2) A(-2, 2), B(1, -4), C(4, 2)
3) A(-1, 1), B(3, 5), C(4, -4)
4) A(-1, 3), B(-4, -3), C(-4, 1)

Answers

I scanned for a pair of x coordinates that match and a pair of y coordinates that match.  That would be a right triangle whose sides are parallel to the axes.    It's possible our right triangle is more complicated, but let's start here.

Nope, it doesn't look like our right triangle is oriented to the axes.  Let's do the Pythagorean Theorem.

1) A(-1, -3), B(4, -3), C(2, -1)

AB² = (4 - -1)² + (-3 - -3)² = 25

AC²= (2 - -1)² + (-1 - -3)² = 9 + 4 = 13

BC²= (2 - 4)² + (-1 - -3)² = 4 + 4 = 8

25 ≠ 13 + 8, not a right triangle

2) A(-2, 2), B(1, -4), C(4, 2)

AB² = (-2 - 1)² + (-4 - 2)² = 9 + 36 = 45

AC²= (4 - -2)² + (2 - 2)² = 36

BC²= (4 - 1)² + (2 - -4)² = 9 + 36 = 45

not a right triangle, but isosceles

3) A(-1, 1), B(3, 5), C(4, -4)

AB² = 4² + 4² = 32

AC²= 5² + 5² = 50

BC²= 1² + 9² = 82

BC² = AC² + AB²,  THIS IS A RIGHT TRIANGLE

4) A(-1, 3), B(-4, -3), C(-4, 1)

AB² = 3² + 6² = 45

AC²= 3² + 2² = 13

BC²= 0² + 4² = 16

not a right triangle

Answer: 3) A(-1, 1), B(3, 5), C(4, -4)

Pls help me on this question !

Answers

Kywettgffjfhdhdjddju

The radius of a circle is 12.1 in. Find the circumference \textit{to the nearest tenth}to the nearest tenth.

Answers

Answer:

76.03

Step-by-step explanation:

Answer:

the circumference is 76.027 but it rounded to the nearest tenth is 76.030

Step-by-step explanation:

5x+4y= 10
–5x+y = 15

Answers

Answer:

what exactly are we trying to solve for

Please help! Choose all that apply.

Answers

Answer:

I believe that the answers are B & C

Step-by-step explanation:

Hope this helps! Please pick me as brainliest!

Graph: y = 12 - 41 + 2

Answers

Step-by-step explanation:

y=-27

...................

2/5 of it is 22.\

I need help PLS

Answers

Answer

55

Step-by-step explanation:

2

5

(22)

=(

2

5

)(

22

1

)

=

(2)(22)

(5)(1)

=

44

5

(Decimal: 8.8)

which will give 55

PLease mark brainllest!!!!!!!

Answer:

2 divided by 5 = 0.4

22/0.4=220/4=55

55 is the number. Hope this helps.

Step-by-step explanation:

What is the value of tan(60°)?
А
O
300
N
V3
B
60°
3
2
6
C

Answers

Answer:

The exact value of tan(60°) is √(3).

Step-by-step explanation:

The value of the trigonometric relation tan ( 60 )° = √3

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the trigonometric relation be represented as A

Now , the value of A is

A = tan ( 60 )°

And , from the trigonometric identities , we get

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

So , the measure of tan ( 60 )° = √3

Hence , the trigonometric relation is solved

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HELP PLEASE

The volume of this cone is 376.8 cubic feet. What is the radius of this cone? Height is 10ft
Use ​ ≈ 3.14 and round your answer to the nearest hundredth

Answers

Answer:

6.08 ft

Step-by-step explanation:

Volume of cone = [tex]\frac{1}{3}[/tex][tex]\pi[/tex]r²h

Radius = [tex]\sqrt{ \frac{V}{\frac{1}{3}\pi h } }[/tex]

[tex]R = \sqrt{\frac{376.8}{\frac{1}{3} \pi 10} }[/tex]

[tex]R = \sqrt{\frac{376.8}{10.47} }[/tex]

[tex]R = \sqrt{36.98}[/tex]

[tex]R = 6.08[/tex]

A 2-year loan of $500 is made with 4% simple interest. Find the interest earned. Please state the answer with a dollar sign followed by a whole number. Example: $32

Answers

Answer:

$10

Step-by-step explanation:

4%  of 500 is 5 dollars  and two years is 10

$40 I think


I Used the equation I=Prt

What is the exponential form of log4 16 = 2?

Answers

Explenation:

Logarithm

log

b

x

is the exponent of a power with base

b

which gives the number under

log

sign (

x

).

In this example we can say that:

log

4

16

=

2

because:

4

2

=

16

Step-by-step explanation:

Find the value of x and the value of y.

Answers

Answer:

B.

Step-by-step explanation:

If you extend the middle line, you will find that the two angles that the line makes are 60° and 40° by alternate interior angles.

Then, you can just make an equation:

2x + 2x - y + y + 60 + 40 = 360

4x = 260

x = 65°

Now you can use same side interior angles to make another equation:

2x - y + 60 = 180

130 + 60 - y = 180

y = 10

what is the answer to:

16^3/2​

Answers

In my view the answer is 2,048

I am not sure about this answer..so if it is mistake then sorry

Answer:

[tex]16^\frac{3}{2} = 64[/tex]

Step-by-step explanation:

[tex]16^\frac{3}{2}[/tex]

Factor the number: [tex]16 = 4^2[/tex]

[tex]= (4^2)^{\frac{3}{2} }[/tex]

Apply exponent rule: [tex](a^b)^c=a^b^c[/tex]

[tex]\left(4^2\right)^{\frac{3}{2}}=4^{2\cdot \frac{3}{2}}=4^3[/tex]

[tex]= 4^3[/tex]

Refine:

[tex]=64[/tex]

Hope I helped, may I get brainliest and a thanks?

Thank you, have a good day! =)

Kim works at an ice-cream store. She wants to calculate how much ice-cream one cone can hold. If the cone is 6 inches tall and the circular opening at the top is 2.5 inches across, how much can the cone hold? Round to the nearest tenth at the end.

Answers

Answer:

The cone holds 9.8 cubic inches ice cream

Step-by-step explanation:

Height of cone = 6 inches

The circular opening at the top is 2.5 inches across

Diameter of cone = 2.5 inches

Radius of cone = [tex]\frac{2.5}{2}=1.25[/tex]

Volume of cone = [tex]\frac{1}{3} \pi r^2 h[/tex]

Volume of cone = [tex]\frac{1}{3} \times 3.14 \times 1.25^2 \times 6[/tex]

Volume of cone = [tex]9.8125 in^3[/tex]

Hence the cone holds 9.8 cubic inches ice cream.

What is the converse of the following statement ?

If two triangles are congruent, then their corresponding angles are congruent.

Answers

Answer: C

Step-by-step explanation: Converse means the reversed statement

3. If two triangles are not congruent, then their corresponding angles are not congruent. the converse of the following statement is option C.

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Given statement:

"If two triangles are congruent, then their corresponding angles are congruent."

1. If the corresponding angles of two triangles are congruent, then the triangles are congruent.

This is not the converse of the following statement.

2. If two triangles are congruent, then their corresponding angles are congruent.

This is not the converse of the following statement.

3. If two triangles are not congruent, then their corresponding angles are not congruent.

This is the converse of the following statement.

4. If the corresponding angles of two triangles are not congruent, then the triangles are not congruent This is not the converse of the following statement.

Thus, the converse of the following statement is option C.

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Given a cone 10 feet tall with a diameter of 10 feet, determine the radius of the smaller cone created when a horizontal plane passes through the cone at exactly 4 feet from the base.

Answers

Answer:

r=3 ft

Step-by-step explanation:

it is similarity of two triangles

one

perpendicular side=10 ft

base=10/2=5 ft

second

perpendicular side=10-4=6 ft

Base r=?

[tex]\frac{r}{5}=\frac{6}{10}\\r= \frac{6}{10} \times 5=3~ft[/tex]

Which best describes the relationship between the
125° angle and angle A?
They are same side interior angles. Angle A
measures 55°
O They are alternate interior angles. Angle A
measures 125°
O They are vertical angles. Angle A measures 125º.
They are corresponding angles. Angle A measures
55°

Answers

Answer:

A. They are same side interior angles. Angle A measures 55°.

Step-by-step explanation:

Got it right on Egd.

Option A.) is correct. They are same side interior angles. Angle A measures 55°.

What is angle?

The angle can be defined as the one line inclined over other line.

questions seem to be in incomplete, Although question could be
what would be sum of the interior angles of a quadrilateral.
The sum of the interior angle = 180
A = 180-125
A = 55°

Thus, the required  Angle A measures is 55°.

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Two triangular faces of a rectangular pyramid each have an area of 7.8 cm2 and the other two faces each have an area of 16.5 cm2. If the area of the base is 60 cm2, what is the total surface area of the pyramid? 84.3 cm2 108.6 cm2 157.2 cm2 168.6 cm2

Answers

The total surface area of the rectangular pyramid is the sum of the whole area. Therefore, the total surface area is 108. 6cm²

How to find the surface area of a pyramid?

The surface area of the rectangular pyramid is the sum of the whole areas.

The total surface area is the sum of the whole area.

A rectangular pyramid has 4 triangular faces and a rectangular base.

Therefore,

total surface area = 7.8 cm² + 7.8 cm² + 16.5 cm² + 16.5 cm² + 60 cm²

total surface area = 108.6 cm²

Therefore, the total surface area of the rectangular prism is 108. 6cm²

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Create a list of steps, in order, that will solve the following equation.

3(x+2)^2=48

Answers

Answer:

Start with the given equation.

%28x-2%29%5E2=%2848%29%2F%283%29 Divide both sides by 3.

%28x-2%29%5E2=16 Reduce.

x-2=%22%22%2B-sqrt%2816%29 Take the square root of both sides.

x-2=sqrt%2816%29 or x-2=-sqrt%2816%29 Break up the "plus/minus" to form two equations.

x-2=4 or x-2=-4 Take the square root of 16 to get 4.

x=2%2B4 or x=2-4 Add 2 to both sides.

x=6 or x=-2 Combine like terms.

Step-by-step explanation:

Answer: x= -6 or x= 2

Steps: Divide both sides by 3
- Then take square root of both sides
- Separate the equation like this:
x+2= -4
x+2= 4
- Solve for x:
To get -6 subtract -4 and 2
To get 2 subtract 4 and 2
x= -6
x= 2

In the diagram of circle A, what is the measure of ZXYZ?
35
70°
75
140

Answers

The solution is, the value is 35 degrees, is the measure of ZXYZ.

What is an angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

from the given diagram, we get,

Using the intersecting secant theorem:

Angle xyz = 1/2( wz- XX)

Xyz = 1/2(175-105)

Xyz = 1/2(70)

Xyz= 35

The solution is, the value is 35 degrees, is the measure of ZXYZ.

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