Let tan theta= 5/12, where sin theta> 0.
Find the exact value of sec theta​

Let Tan Theta= 5/12, Where Sin Theta> 0.Find The Exact Value Of Sec Theta

Answers

Answer 1

Answer:

5/13

Step-by-step explanation:

1. We are given tan(x)=5/12 .....(2)

2. On comparing the quantities we get that p=5 and b=12

3. We require the value of hypotenuse(h),

for this we apply the Pythagoreum theorum: p^2+b^2=h^2

⇒h^2=5^2+12^2

⇒h^2=25+144

⇒h^2=169

⇒ h=√169

⇒ h=13

Sin=p/h

p=5

h=13

Sin=5/13


Related Questions

Last one, Estimate the perimeter and the area of the shaded figure


Show how u got it please.

Answers

Answer:

13 and a half

Step-by-step explanation:

I just counted the squares bro


Brandon is rolling two six-sided dice. What is the probability that one die lands on an even number and the other die lands on an odd number?

Answers

Answer:

50-50 on both because there 3 even and 3 odd numbers

Answer:

50% chance of either or 1/2

Step-by-step explanation:

50% of either

Look a die has 12 sides

6 numbers are odd and the other 6 even

If you randomly roll a die you will have 6/12 chances of landing on a even number and a 6/12 chance of landing on a odd number

now 6/12 can be simplified to 1/2 which is 50%

Hope that helps!

I need help with question 3 part B please !

Answers

Answer:

Yes, one inch is a twlefth of a ft which is a porportion of a feet

Step-by-step explanation:

What is the lateral area of the cone?

Answers

your answer would be ~ 305.83 !!

Complete the table. Round your answers to two decimal places if necessary.

Answers

cos(225)= -0.71 (2.dp)
tan(-150)= 0.58 (2.dp)

Consider the following diagram below.
D
(4x-3)
(39)
(5y)
(6x+13)
F
Find the values of cand y.

Answers

Answer:

[tex]x = 19[/tex]

[tex]y = 22.5[/tex]

Step-by-step explanation:

[tex]5y + 3y = 180[/tex]

[tex]8y = 180[/tex]

[tex]y = 22.5[/tex]

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

[tex]10x - 10 = 180[/tex]

[tex]10x = 190[/tex]

[tex]x = 19[/tex]

Answer: x=17

y=22.5

Step-by-step explanation: trial and error of math nation <333

What’s the measure of an arc with radius 45 inches and central angle of 135°?

Answers

Answer:

106.028752

Step-by-step explanation:

First, find the circumference which is 2 pi r.

2pi(45), 90pi, 282.743339

135 out of 360 degrees is 135/360 or 3/8

and 3/8 out of 282.743339 is 106.028752

The label of a snack says it has 530calories per 20ounces.

Answers

Answer:

can you just mark me brainlest pls

Step-by-step explanation:

Do you want to know how much calories per oz?

Answer: 26.5 calories per oz

What is the equation of the line that passes through the point (−0.5,8) and has a slope of −5?

Answers

Answer:

Slope=-1.8, X=-0.5, y=1.9

Equation is y^2-y^1=m(x^2-x^1).

Y-1.9=-1.8(X-(-0.5))

Y-1.9=-1.8x+0.90

Add 1.9 on both sides.

Y= -1.8x+1.

I hope this helps you.

Step-by-step explanation:

Erin has a rope that is 3 yards long.
Into how many pieces can she cut the rope if each piece is 1/4 yard long?

Answers

Answer:

12 pieces

Step-by-step explanation:

3/0.25 = 12 pieces

Answer:

12 pieces

Step-by-step explanation:

3/.25=12

1/7 divided by 20/21

Answers

Answer: 3/20

Step-by-step explanation: (1/7) :(20/21) = (1/7 )· 21/20 = 21/(7·20)= 3/20

HELP NOW WHOEVER ANSWERS FIRST WILL GIVE BRAINLYIST

Answers

Answer:

if these are the same pictures but just tilted then the answer should be 5 units

Step-by-step explanation:

Answer:

it is 5

Step-by-step explanation:

i dont feel like a step by step

Show work please it has to be done at 2:35

Answers

Step-by-step explanation:

1. -10b+b=-9

It is like you are doing this:

-10+1=-9

5. 5k+7k=12k

5+7=12

3. 1+5v+v= 1+6v

Like: 5+1

2.-x-3x=-4x

Like:-3-1=4 (both are negative numbers and you just add the second one)

4.-7n-7-8+10n=3n-15

You are doing this with n:

10-7=3 and this with numbers:

-7-8=-15 (both negative again)

6.a-2+1+4a= 5a-1

Like this: 4+1=5 and -2+1=-1

7. 8(x+10)= 8*x+8*10= 8x +80

8. 8(1+6p)= 8*1+8*6p= 8+48p

9.-5(-7+7n)= 35-35n ( when you * negative and positive numbers you get negative result and when you * negative and negative numbers you get positive result)

10.-(9m+7)= -9m-7 ( when you have - before () every number changes its sign).

Sorry for messy writing... Hope this helps.

What is the area of the figure? Use 3.14 for π. Round to the nearest hundredth if necessary.

Answers

Answer:

81.12 cm²

Step-by-step explanation:

The area for a semicircle can be figured with this formula: (πr²)/2. The triangle's area formula is bh/2.

(3.14 * 4²)/2 + (14 * 8)/2 (Work the operations in parentheses first.)

(3.14 * 16)/2 + 112/2

50.24/2 + 112/2 (Divide 50.24 by 2. Do the same for 112.)

25.12 + 56 (Add 25.12 & 56.)

81.12 cm²

The area of the figure is 81.12 cm².

SOLVE FOR X PLS!! 50 POINTS! URGENT

Answers

Answer:

5

Step-by-step explanation:

The given two triangles are similar , therefore ,

⇒ 5x /20 = 45/36

⇒ x/4 = 5/4

⇒ x = 5/4 × 4

x = 5

Hence the value of x is 5.

Which of the following functions shows the absolute value parent function,
F(x) = |xl, horizontally stretched?

Answers

Answer: A

Step-by-step explanation:

A triangle has two sides of length 17 and 4. What is the smallest possible whole-number
length for the third side?

Answers

Answer:

14

Step-by-step explanation:

because the sum of the 2 smaller side have to add up to greater than the larger side

x+4 > 17

x > 13

14 is the next biggest whole number

Which of the following shows 9x2 - 19x + 10 factored completely?
A. (9x - 10)(x - 1)
B. (9x - 2)(x - 5)
C. (9x - 5)(x - 2)
D. (3x - 2)(3x - 5)

Answers

the answer is A because you can multiply 9 and 10 and find that -10 times -9 is 90 and it also adds up to -19 and then you rewrite it and factor

Tom sells the hot dogs for £3.15 each

Answers

Answer:

Then what???

Step-by-step explanation:

Ok what I don’t get it

791.26 x 42 please do step by step​

Answers

Answer:

33232.92

Step-by-step explanation:

At baseball camp, Freddie got a hit 15%
of the times that he was at bat. Based
on this information, which is the best
prediction of the number of hits Freddie
will have in 40 times at bat?
A 25
B 15
C 15
D 14​

Answers

The correct answer is letter A

A 9 pound bag of sugar is being split into containers that hold 2/3 of a pound. How many containers of sugar will the 9 pound bag create? (sorry i forgot the 2/3 last time!)

Answers

Answer:

You would create 13 and a half containers of sugar from the 9 pound bag.

Step-by-step explanation:

You divide 9 by 2/3 and it would give you 13.5 which is 13 and a half containers of sugar.

i’m literally over here crying bc i can’t figure this out. if i don’t turn it in before an hour i get an F. PLEASE HELP. the question is “the diameter of the semicircle below is 12 yards. find the area and perimeter” you don’t have to do both numbers just pls let me know what one you solve. you can even only do area. i just rlly need help.

Answers

Answer:

Area = 346.2yd²

Perimeter = 72.1yd

Step-by-step explanation:

AREA

Split it into three shapes: (1) the semi-circle, (2) the triangle, and (3) the rectangle. Find the area of each and then add them together for the area of the whole shape.

Area₁ = πr² = (6²)π = 36π = 113.1 yd²

Area₂ = (1/2)bh = (1/2)(11.3)(14) = 79.1 yd²

Area₃ = lw = (11)(14) = 154 yd²

154 + 79.1 + 113.1=346.2yd²

PERIMETER

The perimeter consists of the length of the curve on the semi-circle, the top , the right side, the bottom, and the slanted line.

length of the curve on the semi-circle = half the cicumference of circle with radius 6 = (2π(6))/2 = 6π = 18.8

the top = 22.3

the right side = 14

the bottom = 11

the slanted line = the hypotenuse of triangle(2) - the diameter of circle(1) = (√(11.3²+14²))-12= (√(323.69))-12=18-12=6

18.8+22.3+14+11+6=72.1yd

which event is unlikely, but not impossible?
A. spinning a spinner split into a 16 equal sections labeled 1-16 and landing on a 3

Answers

Is there supposed to be more answer choices ?
I only see A

A television selling for $940.00 is marked down by 15%. What is the price after the markdown?

Answers

Step-by-step explanation:

100%-> 940.00

100%-15%=85%

85%->940.00 ÷ 100 x 85

=799. 00

10+(2x3)^2 divied by 4x1/2^3

Answers

Answer:

11.125

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

please mark this answer as brainlest

You decide that you want new carpeting in your bedroom that measures 12 feet 6 inches wide by 15 feet 9 inches long. The price of the carpet and the underlying pad is $3.49 per square foot. You decide to upgrade to the deluxe underlying pad that costs an additional $0.62 per square foot. The fee for installation is a flat fee of $180. What is the total cost, including sales tax of 6.7%, of the carpet, pad, and installation? Round your answer to the nearest cent. Write the equation that represents the total cost.

Answers

Answer:

The total cost of the new carpeting is $ 1,055.43.

Step-by-step explanation:

Since I decide that I want new carpeting in my bedroom that measures 12 feet 6 inches wide by 15 feet 9 inches long, and the price of the carpet and the underlying pad is $ 3.49 per square foot, and I decide to upgrade to the deluxe underlying pad that costs an additional $ 0.62 per square foot, and the fee for installation is a flat fee of $ 180, to determine what is the total cost, including sales tax of 6.7%, of the carpet, pad, and installation, the following calculations must be performed:

1 inch = 0.08333 feet

6 inches = 0.08333 x 6 = 0.5

9 inches = 0.08333 x 9 = 0.75

12.5 x 15.75 = Bedroom area

196,875 square feet = Bedroom area

((196.875 x (3.49 + 0.62)) + 180) x 1.067 = Total cost

((196,875 x 4.11) + 180) x 1,067 = Total cost

(809.15625 + 180) x 1.067 = Total cost

989.15625 x 1.067 = Total cost

1,055,429 = Total cost

Therefore, the total cost of the new carpeting is $ 1,055.43.

If f(x) = 2x + 5 then f(?) = 5
0
5
3
8

Answers

Answer:

0.

Step-by-step explanation:

When you multiply 2*0, it will be equal to 0. 0+5= 5.

jose and two of his friends are collecting baseball cards. Their goal is for the three of them to collect at least 100 cards in total. At the moment they have 43 cards. If they all plan to now collect the same number of cards,Which inequality can jose use to determine the minimum number of cards each person needs to collect to reach their goal?

Answers

Answer:

A

Step-by-step explanation:

In which step does a mistake first occur?
8 + 2 + (3 X 3 -2)
Step 1: 8 +2 + (3 x 1)
Step 2: 8 +2 + 3
Step 3: 4 + 3
Step 4: 7

Answers

Answer:

Step 3 because they didn't add correctly

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