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

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!

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

**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

I Used the equation I=Prt

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

**Answer:**

**x^2 + 11x + 30**

**Step-by-step explanation:**

how many twentieths equal three-fifths

**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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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.

**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 exponential form of log4 16 = 2?

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:**

In the diagram of circle A, what is the measure of ZXYZ?

35

70°

75

140

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

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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Pls help me on this question !

Kywettgffjfhdhdjddju

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

**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]

Adding and subtracting radicals

the correct answer would be 0 i believe

What is the value of tan(60°)?

А

O

300

N

V3

B

60°

3

2

6

C

**Answer:**

**The exact value of tan(60°) is √(3).**

**Step-by-step explanation:**

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

**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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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

**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**

Find the value of x and the value of y.

**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

5x+4y= 10

–5x+y = 15

**Answer:**

what exactly are we trying to solve for

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

3x-2= -11

**Answer:**

the third one is correct

**Step-by-step explanation:**

The third one is correct

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.

**Answer:**

ZAPC ZDPB because angles adjacent to the

same angle are congruent to each other.

**Step-by-step explanation:**

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

**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:**

2/5 of it is 22.\

I need help PLS

**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 converse of the following statement ?

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

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.

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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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°

**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°.**

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

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

**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

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

help asap will mark brainliest

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

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

**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

Please help! Choose all that apply.

**Answer:**

I believe that the answers are B & C

**Step-by-step explanation:**

Hope this helps! Please pick me as brainliest!

need help quick plz

I’m gonna say it’s A?

I really need help and I would greatly appreciate it

**Answer:**

**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**

Graph: y = 12 - 41 + 2

**Step-by-step explanation:**

y=-27

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

what is the answer to:

16^3/2

In my view the answer is 2,048

*I** **am** **not** **sure** **about** **this** **answer**.**.**so** **if** **it** **is** **mistake** **the**n** **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! =)**

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)

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)

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.

**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]

Barnes and Nobles buys a book for $14.25. They markup the price of the book by 35%.
Create a Element #Brainliest Challenge Rules- It must Have Atomic mass and Number and it's Fictional name you createdFor Fun Add #GoGenius
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