Given the right triangle find the value of sec(90 degree - theta) when a= 12, b= 5, c= 13

Given The Right Triangle Find The Value Of Sec(90 Degree - Theta) When A= 12, B= 5, C= 13

Answers

Answer 1

Use the next trigonometric identities:

[tex]\begin{gathered} \sec (90º-\theta)=\frac{1}{\cos (90º-\theta)} \\ \\ \cos (90º-\theta)=\sin \theta \end{gathered}[/tex]

Then, the sec(90º - θ) is:

[tex]\sec (90º-\theta)=\frac{1}{\sin \theta}[/tex]

The sin(θ) is:

[tex]\sin \theta=\frac{opposite}{hypotenuse}=\frac{5}{13}[/tex]

Then:

[tex]\sec (90º-\theta)=\frac{1}{\frac{5}{13}}=\frac{13}{5}[/tex]

Then, the sec(90º - θ) is 13/5


Related Questions

Chris had a new refrigerator delivered to his home for $950. He gave the delivery
person a $20 tip. What percent tip did he give the delivery person?
2.1%
21%
0.021%
0.21%

Answers

He give the delivery person a tip of 2.1%

What is delivery ?

Transporting items from a source point to a predetermined destination is known as delivery. Roads, railroads, shipping lanes, and airline networks all play major roles in the delivery of cargo (physical products). Specialized networks, such as pipelines for liquid products, power grids for electrical power, computer networks like the Internet, or broadcast networks for electronic information, may be used to distribute specific sorts of goods. [1] A specific subcategory is car transport, and an associated variation is autorack, which involves shipping cars through railroad.

Delivery, which comprises both transportation and distribution, is a crucial aspect of trade and commerce.Distribution is the overall process of providing things, while logistics is the study of efficient delivery and disposition procedures for both persons and materials. Distributors are companies that specialize in moving commercial items from their site of manufacture or storage to their point of sale, whereas delivery services are companies that focus on moving goods to consumers. Deliveries of goods for both commercial and private purposes are also made by postal, courier, and moving services.

According to the question

The new refrigerator delivered to his home for $950

tip he gave to the delivery person = $20

let tip he gave to the person in percentage be x

$20=  [tex]\frac{x}{100}(950)[/tex]

x =[tex]\frac{20(100)}{950}[/tex]

x=2.1%

Thus the tip is 2.1%

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Why is the product of two rational numbers always rational?Select from the drop-down menus to correctly complete the proof. Let ab and cd represent two rational numbers. This means a, b, c, and d are Choose... integers or irrationals number , and b and d are not 0. The product of the numbers is acbd, where bd is not 0. Both ac and bd are Choose... integers or irrationals numbers, and bd is not 0. Because acbd is the ratio of two Choose... integers or irrationals numbers, the product is a rational number.

Answers

a rational number is a type of real numbers, which is in the form of p/q where q is not equal to zero.

Let a/b and c/d represent two rational numbers. This means a, b, c, and d are integers, and b and d are not 0. The product of the numbers is ac/bd, where bd is not 0. Both ac and bd are integers, and bd is not 0. Because ac/bd is the ratio of two integers, the product is a rational number

point (0,6) in which quadrant and axis

Answers

Given the point:

(0, 6)

Let's find the quadrant and the axis where the point is located.

We have:

(x, y) ==> (0, 6)

The x-coordinate of the point is 0, while the y-coordinate of the point is 6.

Here, the point (0, 6) lies on the y-axis.

Also, since the x-coordinate is 0, we can say the point lies in between quadrant I and quadrant II.

From the graph above we can see the point (0, 6) is between quadrant I and II, and the point lies on the y-axis.

ANSWER:

• The point is in beween Quadrant I and II

,

• The point lies on the y-axis.

Write the factored form of the least common denominator needed to simplify this expression.9419 + 3+g2 + 29- 15+5

Answers

ANSWER

[tex]g^2+2g-15=(g+5)(g-3)[/tex]

EXPLANATION

Given:

[tex]\frac{g+1}{g^2+2g-15}+\frac{g+3}{g+5}[/tex]

Desired Outcome:

The factored form of the least common denominator

Simplify the expression

[tex]undefined[/tex]

Assume five coins are tossed, and we're trying to figure out how many tails will appear. Let's use the letter T to denote the number of tails that will emerge. Find the values of a random variable called T.

Answers

The probability (P) can be gotten as follows:

[tex]P=\frac{number\text{ of favorable outcomes}}{total\text{ number of outcomes}}[/tex]

Each coin has a 1/2 = 0.5 probability of getting a tail. Thus, to get the probability of the 5 coins is:

[tex]\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}=\frac{1}{32}=0.0313[/tex]

Then the probability for a tail to emerge

what us the value of x that makes the equation true?

Answers

[tex]\begin{gathered} \Rightarrow6x-8=-4x+7 \\ \Rightarrow6x+4x=8+7 \\ \Rightarrow10x=15 \\ \Rightarrow x=\frac{15}{10} \\ \Rightarrow x=\frac{3}{2}=1\frac{1}{2} \end{gathered}[/tex]

Select all the equations on which the point (10,0) lies. O 5x + 2y = 15 O 2x + 4y = 20 O x + y = 10 O 3x + 3y = 13 4x + 2y = 20 O 6x + y = 50

Answers

2x + 4y = 20

when y = 0

2x + 4(0) = 20

2x = 10

Divide both-side of the equation by 2

x = 10

Hence, it lies on the point 2x + 4y = 20

A certain drug is made from only two ingredients: compound A and compound B. There are 5 milliliters of compound A used for every 7 milliliters of compound B. If a chemist wants to make 1056 milliliters of the drug, how many milliliters of compound A are needed?what is the answer?

Answers

If the proportion of compounds A and B is 5 to 7, we can calculate the amount of each compound in the total of 1056 using the equations:

[tex]\begin{gathered} A=\frac{5}{5+7}\cdot1056 \\ A=\frac{5}{12}\cdot1056 \\ A=440 \\ \\ B=\frac{7}{5+7}\cdot1056 \\ B=\frac{7}{12}\cdot1056 \\ B=616 \end{gathered}[/tex]

So the amount of compound A needed is 440 ml.

Billy is solving the inequality 4x - 4 > 20:His work is shown:4x - 4 > 20+4+44x > 244 4X < 6Did Billy solve the problem correctly? If not, where did Billy make a mistake

Answers

[tex]4x-4>20[/tex]

He added 4 to both sides:

[tex]\begin{gathered} 4x-4+4>20+4 \\ 4x>24 \end{gathered}[/tex]

He divided both sides by 4:

[tex]\begin{gathered} \frac{4x}{4}>\frac{24}{4} \\ x>6 \end{gathered}[/tex]

However he got:

x < 6

He flipped the inequality sign which is incorrect since he is not dividing by a negative number

The distribution of the binomial random variable (x) has the following parameters: p = 0.3 and n = 9 Determine the P(X ≥ 2)

Answers

Answer:

Explanation:

The formula for calculating binomial probability is expressed as

P(x) = nCx * p^x * q^(n - x)

where

n is the number of trials

x is the number of successes

p is the probability of success

q is the probability of failure

From the information given,

n = 9

p = 0.3

q = 1 - p = 1 - 0.3 = 0.7

By using a binomial probability calculator,

P(x ≥ 2) = 0.804

What is the slope of a line that is parallel to the line y = 3/4x + 2?
-4/3
-3/4
3/4
4/3

Answers

Answer:

The slope of this line is 3/4.

Perform the indicated operation and express the result as a simplified complex number in the form a+bi. Do not put any spaces between your characters.(-2-4i)+(1+6i)simplifies to Answer

Answers

Given the expression:

(-2 - 4i) + (1 + 6i)

Let's simplify the expression.

To simplify the expression, let's combine the real and imaginary parts.

• Remove the parentheses:

[tex]-2-4i+1+6i[/tex]

• Combine the like terms:

[tex]\begin{gathered} -2+1-4i+6i \\ \\ -1+2i \end{gathered}[/tex]

ANSWER:

[tex]-1+2i[/tex]

What steps do you take in order to construct an equilateral triangle using a compass and a straight edge?

Answers

An equilateral triangle is one that has three equal sides, therefore it is more importante than with the rule to create 3 sides of the same length.

A ferris wheel has a radius of 65 feet. How many feet will the feris wheel have turned after 10 rotations.

Answers

we need to calculate the perimeter of a circle of radius 65

perimeter=2pi*radius=2pi*65=130pi

then after 10 rotations the wheel have turned 10(130pi) feets= 1300pi feets

There are 48 employees in a company. On a certain day, 36 were present. What percent showed up for work'

Answers

Answer:

75%

Step-by-step explanation:

Divide 48 by 36:

36/48=

(12*3)/(12*4)=

3/4=0.75

Multiply the decimal by 100 to get the percent:

0.75*100=75%

The workers present on the certain day given is 75%

What is percentage?

A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.

Given that, There are 48 employees in a company. On a certain day, 36 were present.

To find the percentage of workers present = present/totalx100

= 36/48x100

= 75

Hence, The workers present on the certain day given is 75%

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Can you please answer so I already have the answers on the side if you can see but can you show me how he did it

Answers

What is 0.023% of 2100?

Word "is" means = and the word "of" means times

So it is x = 0.023% * 2100

At first, change 0.023% to a normal number by dividing it by 100

[tex]x=\frac{0.023}{100}\times2100[/tex]

Let us simplify the right side

[tex]x=0.023\times21[/tex]

Now use your calculator to find the answer

x = 0.483

0.483 is 0.023% of 2100

Question 10 of 25Which of the following are roots of the polynomial function below?Check all that apply.F(x) = 2x³-²-9x+6OA. 9-√55B. 2□ C. -3-√33D.9+√√554-3+√33E.SUBMIT

Answers

Given

F(x) = 2x³-²-9x+6

Find

roots of the polynomial function below

Explanation

we have to find the roots of the polynomial function.

[tex]\begin{gathered} f(x)=2x^3-x^2-9x+6 \\ f(x)=(x-2)(2x^2+3x-3) \end{gathered}[/tex]

now solve quadratic equation ,

[tex]\begin{gathered} 2x^2+3x-3=0 \\ \\ x=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ \\ x=\frac{-3\pm\sqrt{(3)^2-4\times2\times(-3)}}{4} \\ \\ x=\frac{-3\pm\sqrt{9+24}}{4} \\ \\ x=\frac{-3\pm\sqrt{33}}{4} \end{gathered}[/tex]

Final Answer

Therefore , the correct options are B , C and E

Which geometric formulas describe functions that are nonlinear? Select all that apply. (A) P=3s 6) A=65² C) d=2r D C= 2tr E 4. V=

Answers

Answer:

B. A = 6s²

E. V = (4/3)πr³

Explanation:

A formula describes a function that is nonlinear if the exponent of the variable is greater than 1.

Therefore, the geometric formulas that describe functions that are nonlinear:

A = 6s²

V = (4/3)πr³

Because the variable s has an exponent equal to 2 for the first one and the variable r has an exponent equal to 3 for the second one.

An electric guitar costs $790, with a $235 full-replacement warranty. If the manufacturer sells 598,274 warranties andhas to honor 11% of them, how much profit did the manufacturer gain from the warranties? Show work

Answers

[tex]\begin{gathered} \text{guitar cost=79'} \\ \text{warranty cost=235} \\ \text{total warranties=598,274} \\ 11\text{ \%} \\ \text{Income for warranties=}(\text{598,274})\cdot(\text{235}) \\ \text{Income for warranties=}140,594,390 \\ \text{ \%=598,274}\cdot11\text{ \%} \\ \text{ \%=65811} \\ \cos t=(\text{65811)}\cdot(\text{235)} \\ \cos t=15,465,585 \\ \text{Profit}=140,594,390-15,465,585 \\ \text{Profit}=125,128,805 \\ \text{The total profit fot warranties is \$}125,128,805 \end{gathered}[/tex]

Complete the sentence below. A rhombus is a rectangle. always sometimes never Submit

Answers

The correct answer is Never

The ratio of the measures of the three angles in a triangle are 3:4:6. Determine the measures of each angle of the triangle.

Answers

Given:

The ratio of the angles is 3:4:6.

Required:

We need to find the measure of each angle of the triangle.

Explanation:

Let the angles of the triangle be 3x, 4x and 6x.

We know that the sum of the angles is equal to 180 degrees.

[tex]3x+4x+6x=180\degree[/tex][tex]13x=180\degree[/tex]

Divide both sides by 13.

[tex]\frac{13x}{13}=\frac{180\degree}{13}[/tex][tex]x=13.85[/tex]

Substitute x values in 3x, 4x and 6x.

[tex]3x=3\times13.85=41.55[/tex][tex]4x=4\times13.85=55.4[/tex][tex]41.55+55.4+6x=180[/tex][tex]6x=83.05[/tex]

Final answer:

The angles are 41.55, 55.40 and 83.05.

Eric and Sarah both have lemonade stands. The graph below represents how many cupsof lemonade Eric sells per day. The equation represents the rate at which Sarahmakes lemonade. Who sold more cups of lemonade in 5 days?

Answers

The graph indicates that Eric sells 60 cups of lemonade in 5 days.

Substituting x = 5 in the equation of Sarah, we get:

y = 10x

y = 10*5

y = 50

That is, Sarah sells 50 cups of lemonade in 5 days.

Then, Eric sells more cups.

Find AB. A =20B = 10C = 54 D = 12

Answers

Answer:

C. 54

Explanation:

The triangles ABD and ACD are congruent by SAS (Side - angle - side) becuase

AD is congruent to itself

∠ADB = ∠ADC

BD is congruent to CD

So, the length of AB is equal to the length of AC and we can write the following equation

AB = AC

4x + 6 = 5x - 6

Solving for x, we get:

4x + 6 + 6 = 5x - 6 + 6

4x + 12 = 5x

4x + 12 - 4x = 5x - 4x

12 = x

Then, the length of AB is

AB = 4x + 6

AB = 4(12) + 6

AB = 48 + 6

AB = 54

Therefore, the answer is

C. 54

F.28. 21 and 22 are vertical angles. If mZ1 =(6x + 11) and mZ2 = (10x - 9), find mZ1.mZ1 =

Answers

It is given that angle 1 and angle 2 are vertical angles.

It is known that the vertical angles are congruent.

Therefore it follows:

[tex]\begin{gathered} m\angle1=m\angle2 \\ 6x+11=10x-9 \\ 11+9=10x-6x \\ 20=4x \\ x=5 \end{gathered}[/tex]

So the value of angle 1 is given by:

[tex]\begin{gathered} \angle1=6x+11 \\ =6\times5+11 \\ =41 \end{gathered}[/tex]

Hence the angle is 41 degrees.

find the equations of the line those pass through (2/3, -3/5) and have slope 5/3

Answers

Slope intercept form (general)

y = mx + b

Where:

m= slope

b= y-intercept

m = 5/3

y = 5/3x + b

Replace ( x,y ) by the given point (2/3,-3/5) and solve for b.

-3/5 = 5/3 (2/3) + b

-3/5 = 10/9 + b

-3/5 - 10/9 = b

b = -77/45

y = 5/3x - 77/45

Use the point-slope formula to write an equation of the line that passes through (-3, 2) and (-6, -2).Write the answer in slope-intercept form (if possible).

Answers

The equation of a line in the slope-intercept form is y = mx + b, where "m" is the slope and b is the y-intercept.

To find the equation of the line given two points (x, y), follow the steps below.

Step 01: Substitute the point (-3, 2) in the equation.

To do it, substitute x by -3 and y by 2.

[tex]\begin{gathered} 2=m\cdot(-3)+b \\ 2=-3m+b \end{gathered}[/tex]

Isolate b by adding 3m to both sides of the equation.

[tex]\begin{gathered} 2+3m=-3m+b-3m \\ 2+3m=-3m+3m+b \\ 2+3m=b \end{gathered}[/tex]

Step 02: Substitute b in the equation of the line.

Knowing that b = 2 + 3m. Then,

[tex]\begin{gathered} y=mx+b \\ y=mx+2+3m \end{gathered}[/tex]

Step 03: Substitute the point (-6, -2) in the equation from step 02.

To do it, substitute x by -6 and y by -2.

[tex]\begin{gathered} -2=m\cdot(-6)+2+3m \\ -2=-6m+2+3m \\ -2=-3m+2 \end{gathered}[/tex]

Isolate "m" by subtracting 2 from both sides.

[tex]\begin{gathered} -2-2=-3m+2-2 \\ -4=-3m \end{gathered}[/tex]

Finally, divide both sides by -3:

[tex]\begin{gathered} \frac{-4}{-3}=\frac{-3}{-3}m \\ \frac{4}{3}=m \end{gathered}[/tex]

Knowing "m", use the equation from step 1 to find "b".

Step 04: Find "b".

[tex]\begin{gathered} b=2+3m \\ \end{gathered}[/tex]

Substituting m by 4/3 and solving the equation:

[tex]\begin{gathered} b=2+3\cdot\frac{4}{3} \\ b=2+\frac{3\cdot4}{3} \\ b=2+4 \\ b=6 \end{gathered}[/tex]

Answer: The equation of the line is:

[tex]y=\frac{4}{3}x+6[/tex]

Tyler se comió x bocadillos de frutas, y Han comió m menos que eso. Escribe una expresión para la cantidad de bocadillos de frutas que comió Han.

Answers

the expression

[tex]x-m[/tex]

represents the amount of snacks Han ate.

7. Tres hermanos tienen una bolsa de golosinas. Quieren regalarle a su padre un trozo de twizzler cada uno. Si cada trozo de twizzler que regalan tienen 100 mm, ¿cuántos centímetros de twizzler tendrá en total el padre?

Answers

Como cada uno de los hermanos le regalará un trozo de twizzler a su padre, ékl tendra tres twizzlers. En milímetros eso es

[tex](3)(100)=300\text{ mm}[/tex]

Ahora tenemos que convertir los milimetros a centímetros. Recordemos que un centímetro tiene 10 milímetros. Entonces, tenemos que dividir la cantidad total de milímetros entre 10.

[tex]\frac{300}{10}=30[/tex]

Por lo tanto el padre tendrá 30 cm de twizzler en total.

(-9,-5),(-6,1) and (5,8)What is the perimeter?

Answers

Answer

The perimeter of the triangle is 48.298 units

Explanation

The triangle has the vertices (-9, -5), (-6, 1) and (5, 8).

To find the perimeter of the triangle, we need to find the lengths of the sides of the triangle. The perimeter is the sum of all its sides.

Each side will be calculated from the distance between the vertices.

The distance between two points with the coordinates (x₁, y₁) and (x₂, y₂) is given as

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

The sides of the triangle will be between

(-9, -5) and (-6, 1)

(-9, -5) and (5, 8)

(-6, 1) and (5, 8)

(x₁, y₁) and (x₂, y₂) is (-9, -5) and (-6, 1)

x₁ = -9

y₁ = -5

x₂ = -6

y₂ = 1

d = √[(-6 - (-9))² + (1 - (-5))²]

d = √[(-15)² + (6)²]

d = √(261)

d = 16.155

(x₁, y₁) and (x₂, y₂) is (-9, -5) and (5, 8)

x₁ = -9

y₁ = -5

x₂ = 5

y₂ = 8

d = √[(5 - (-9))² + (8 - (-5))²]

d = √[(14)² + (13)²]

d = √(365)

d = 19.105

(x₁, y₁) and (x₂, y₂) is (-6, 1) and (5, 8)

x₁ = -6

y₁ = 1

x₂ = 5

y₂ = 8

d = √[(5 - (-6))² + (8 - 1)²]

d = √[(11)² + (7)²]

d = √(170)

d = 13.038

The perimeter of the triangle is thus given as

Perimeter = 16.155 + 19.105 + 13.038

= 48.298 units

Hope this Helps!!!

Tina has earned a total of 9,644 frequent flyer miles by traveling between twin falls and Preston. she has made 4 trip time how many miles is one trip between thses to city's.

Answers

it is given that total miles travelled by tine are 9644 miles in the four trips.

now we calculate the distance travelled in one trip by tina,

[tex]\frac{9644}{4}=2411\text{ miles}[/tex]

so tina travels 2411 miles in one trip.

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