Answers
Let's consider all the trig identities, to help us with the problem:
⇒ (look at the attached image for help with that)
After looking at all the trig identity, let's look at the problem given to us:
⇒ cos(θ) = [tex]\frac{5}{13}[/tex]
⇒ we know that sec(θ) = 1 / cos(θ) = 1 / (5/13) = 13/5
Thus: sec(θ) = 13/5, which just so happens to be Choice (D)
Answer: sec(θ) = 13/5 or Choice (D)
Hope that helps!
Related Questions
Can the volume of a cone with the same size base as a cylinder ever have a bigger volume? Explain
Answers
Answer:
No, because if a cone and a cylinder have bases with equal areas, and both have identical heights, then the volume of the cone is one-third the volume of the cylinder.
i have number 9 , i just need number 10
if the circle is centered at point O, what is the measure of MON ?
Answers
Write this percentage as a fraction in its simplest form. 50 %
Answers
Answer:
1/2
Step-by-step explanation:
50/100 = 5/10 =1/2
in it's simplest form
;)
PLEASE HELP ASAP!!!!!!!!!
The diameter of a circle is 7 cm, What is it's area/circumference????!
HELP!!!!
Answers
Answer:
Below in bold.
Step-by-step explanation:
Circumference = π * diameter
= π * 7
= 20.99 cm to nearest hundredth.
Radius of the circle = 1/2 * diameter = 7/2
= 3.5cm.
Area = π r^2
= π * 3.5^2
= 38.48 cm^2 to nearest hundredth.
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[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
◈ The diameter of a circle is 7 cm. What is its area? How about its circumference?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]
We're asked to find the circle's circumference, which can be found using the formula below:-
[tex]\textsf{Formula for Circumference of a Circle:- \boxed{\bold{C=\pi d}}}[/tex]
Where:-
[tex]\bold{C=Circumference}[/tex][tex]\pi[/tex] = pi [3.14][tex]\bold{d=diameter}[/tex]As per provided information (d=7cm), we can easily find the circumference by substituting 7 for d:-
↬ [tex]\sf{C=\pi (7)}[/tex]
On simplification,
↬ [tex]\sf{C=7*3.14}[/tex]
Remember, 3.14 is pi.
On further simplification,
↬ C=21.98 cm.
So we conclude that the circumference of the given circle is:-
C=21.98 cm.
Now, how about the area?
[tex]\textsf{Formula for Area of a Circle:-\boxed{\bold{A=\pi r^2}}}[/tex]
Where:-
A=arear=radius (it's squared, which means it's multiplied times itself)Notice that we only have the diameter and not the radius.
We can easily find the radius by dividing the diameter by 2:-
3.5
So the radius is 3.5.
Substitute the value of r into the formula, which results in:-
↬ [tex]\sf{A=\pi (3.5)^2}[/tex]
On simplification,
A=12.25πOn further simplification,
A=12.25•3.14 (3.14 is pi)
On further simplification,
A=38.465 cm²
Good luck.-- - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Ade think of a number.he double it and then subtract five.the results cannot less than 100 . find the range of value of x
Answers
Answer:
[tex]x > \frac{105}{2}[/tex]
Step-by-step explanation:
Let's say that the number is [tex]x[/tex].
He doubles the number and then subtracts five to get the number to be [tex]2x - 5[/tex]. If the result cannot be less than 100, then we can write the inequality [tex]2x - 5[/tex] > [tex]100[/tex]. Now, solving for x, we get [tex]x > \frac{105}{2}[/tex].
Tina will use the number cube, the spinner, and the coin shown below in a game. The number cube has faces numbered 1 through 6. Tina will roll the cube, spin the spinner, and flip the coin one time each to form an outcome. How many unique outcomes where the number on the cube is greater than 4 are possible?
There are 4 slots for the spinner.
Answer Choices:
A. 12
B. 24
C. 16
D. 48
Answers
explanation
4 + root 3 / 4 - root 3
Answers
Answer:
[tex]\frac{19+8\sqrt{3} }{13}[/tex]
Step-by-step explanation:
Given :
[tex]\frac{4+\sqrt{3} }{4-\sqrt{3} }[/tex]Multiply using the reciprocal :
[tex]\frac{4+\sqrt{3}(4+\sqrt{3}) }{4-\sqrt{3}(4+\sqrt{3}) }[/tex][tex]\frac{16+8\sqrt{3}+3 }{16-3}[/tex]Simplify numerator and denominator :
[tex]\frac{19+8\sqrt{3} }{13}[/tex]What is the radian measure of a central angle of a circle of radius 12 feet that intercepts an arc of length 3 feet ? Round to the nearest hundredth.
Group of answer choices
4 radians
0.25 radians
0.33 radians
36 radians
Answers
Answer: 0.25 radians
Step-by-step explanation:
DOES ANYONE KNOW THE ANSWER ???? Please I can’t fail this test !
Answers
Answer:
The last option
Step-by-step explanation:
You take the middle 2 numbers, add them up, and divide by 2.
PLS HURRYYYY ITS DUE TODAY!!!
Malik is cutting boards for a project. He needs boards that are 712 inches long. He cut his first board too long. His percent error was 12%.
How long did Malik cut the board?
Enter your answer as a mixed number in simplest form in the box.
in.
Answers
Answer:
85 44/100
Step-by-step explanation:
I think this is the corect anser
Answer:
8 2/5
7 1/2 times 12 divided by 100 = 0.9
7 1/2 + 0.9 = 8.4
as a mixed number it would be 8 2/5
Step-by-step explanation:
a knife is four times the cost of a spoon. 12 spoons and 16 knives cost £105.64. work out the cost of 1 knife
Answers
Answer:
£5.56Step-by-step explanation:
let K be the cost of a knife
S Ben the cost of a spoon
The statement “a knife is four times the cost of a spoon”
means K = 4S
means S = (1÷4)K
the statement “12 spoons and 16 knives cost £105.64”
means 12S + 16K = 105.64
⇔ 12(1÷4)K + 16K = 105.64
⇔ 3K + 16K = 105.64
⇔ 19K = 105.64
⇔ K = 105,64÷19
= £5.56
A hemispherical tank is filled with water and has a diameter of 10 ft If water weighs 62.4 lb per cubic foot what is the total weight of water and a full tank in the nearest pound
Answers
The total weight of water and a full tank in the nearest pound is 16328 lb.
What is the total weight?Volume of a hemisphere = (2/3) x (n) x (r^3)
n = 22/7r = radius = 10/2 = 53.14 x 5³ x 2/3 = 261.67 ft³
Weight = volume x weight per cubic foot
261.67 ft³ x 62.4 = 16328 lb
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Help me find the angle H equals in the attachment. I am running out of time pls help quick!!!
Answers
Answer:
Angle H is 133
Step-by-step explanation:
(h-48)+95=180
solve it and you will get 133
Answer:
133°
Step-by-step explanation:
from the diagram,
(h- 48)° +95°= 180° ( angles on a straight line)
h-48+95 = 180°
h+47 = 180
collect like terms
h = 180-47= 133°
Enter the unknown number to make the equation true.
Please help I’ll give brainless if possible
Answers
Answer:
It would be 70
Step-by-step explanation:
hope this helped :)
Martha bought a 0.35-kilogram bottle of spice. spice. She uses 80 grams a week. Is one bottle of spice enough for 6 weeks? Explain.
Answers
Answer:
She has not got enough spice for 6 weeks.
Step-by-step explanation:
Remark
0.35 kg = 0.35 * 1000 grams / kg = 350 grams.
Since she will use 6 * 80 = 480 grams for 6 weeks, and since 350 is less than 480, she does not have enough spice for six weeks.
NEED ASAP PLS HELP ILL MARK BRAINLIEST IF CORRECT
(06.02 MC)
A line is drawn on a scatter plot, as shown below:
Which statement best describes the line?
(A) It can be the line of best fit because it shows a positive linear association between x and y.
(B) It can be the line of best fit because it closely fits the data points.
(C) It cannot be the line of best fit because it does not pass through all the data points.
(D) It cannot be the line of best fit because it shows a negative linear association.
Answers
Answer:
B
Step-by-step explanation:
Change from radians to degrees 7pi/4
Answers
The conversion of [tex]\dfrac{7\pi}{4}[/tex] in degrees will be equal to 315°
What is a radian?Radian is a unit of angle, equal to an angle at the centre of a circle whose arc is equal in length to the radius.
Here the given angle in radian is [tex]\dfrac{7\pi}{4}[/tex]
Angle in degrees is converted by multiplying it with [tex]\dfrac{180}{\pi}[/tex].
So the angle in degrees will be:-
[tex]=\dfrac{7\pi}{4}\times \dfrac{180}{\pi}[/tex]
[tex]=\dfrac{7\times 180}{4}[/tex]
Angle=315°
Therefore the conversion of [tex]\dfrac{7\pi}{4}[/tex] in degrees will be equal to 315°
To know more about radian follow
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What is the value of x?
Answers
Answer:
x = 52°
Step-by-step explanation:
The angles add up to 360°.
x + 98 + x + 91 + x + 15 = 3603x + 204 = 3603x = 156x = 52°Divide. 12.92/105 please
Answers
Decimal Form: 0.12304762 (Not Rounded)
Answer:
0.2584
Step-by-step explanation:
First off 10 to the 5th power is 10 x 5 = 50, so 12.92 / 50 is 0.2584.
Ten runners join a race. in how many possible ways can they be arranged as first,second,and third places
Answers
Answer:
in 720 Possibles ways Ten runners can be arranged as first, second, and third placers
How do you divide fractions i forgot in the 5th grade
Answers
Keep the first fraction the same
Change the division symbol into a multiplication symbol
Swap the numerator and the denominator of the second fraction
Example:
[tex]\frac{1}{2} \div \frac{1}{4}[/tex] will turn into [tex]\frac{1}{2} \times \frac{4}{1}[/tex] giving you an answer of [tex]\frac{4}{2}[/tex] which is 2
- Kan Academy Advance
Answer all.
a)Name two angles that are complementary.
_______________________
b)Name the angle supplementary to BOA
_______________________
c)AOE and DOE are supplementary.Find mAOE
_______________________
d)Name the angels adjacent to BOC
_______________________
PLEASE ANSWER AND SHOW WORK FOR ALL!!
Answers
Answer:
see attached picture for details
a = BOA + COD
b = BOD
c = 150
d = BOA + COD
Step-by-step explanation:
see attached picture with color coded answers
What is the volume of the right triangular prism in cubic meters?
Answers
Answer:
8×3×2=48
Step-by-step explanation:
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
Answer:
48 cubic meters
Step-by-step explanation:
Carson grew up to be one of Texas most prominent real estate investor. Carson took $32,500 he made on the sale of a home and placed it in a new account that earns 6% compounded annually. Find the total amount after 5 years.
ps (delta math)
Answers
Answer:
$44,492.33
Step-by-step explanation:
Compound Interest Formula
A = P (1 + r/n)^(nt)A = amount of interestP = Principalr = interest rate (in decimals)n = number of times interest is compoundedt = number of yearsSolving
A = (32,500)(1 + 0.06/1)⁵A = (32,500)(1.06)⁵A = (32,500)(1.33822558)A = $44,492.33 (nearest cent)(3)(6)(-2)
Please Help
Answers
hope it helps.
Answer:
-36Step-by-step explanation:
(3)×(6)×(-2) =
18 × (-2) =
(remember plus per minus = minus)
-36
What is the area of the trapezoid? a trapezoid has a base of 10 meters, a height of 7 inches, and a top side length of 6 inches. 49 in.2 56 in.2 67 in.2 74 in.2
Answers
The formula for calculating the area of a trapezoid is expressed as A = 0.5(a+b)h. The given area of the trapezoid is 1398.9 square inches
Area of a trapezoidThe formula for calculating the area of a trapezoid is expressed as:
A = 0.5(a+b)h
Given the following parameters
a = 10m = 393.7in
b = 6in
h = 7in
Substitute
A = 0.5(393.7 + 6) * 7
A = 0.5 * 399.7 7
A = 1398.9 square inches
Hence the given area of the trapezoid is 1398.9 square inches
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Answer:
The correct answer is 56. This is correct on e d g e .
Step-by-step explanation:
We add together the two bases, divide by two, and then multiply by the height, getting 56. I hope this helps anyone on the exam
Please answer
ALMN AQRS. Solve for y. L 2x+11 /(y+10)° N (2y-40) Q S M R 3x-9
Answers
Answer:
50
Step-by-step explanation:
Since it's given that these are similar triangles then the measure of angles are equal
2y - 40 = y + 10 transfer like terms to the same side of equation
2y - y = 10 + 40 do the calculation (notice how the terms changes sign from + to - and from - to + when they are transferred)
y = 50
Solve for x in the equation -2/5 x = 12
Answers
Answer:
x= -30
Step-by-step explanation:
10z + 2z - 4
please thx
Answers
Detailed Explanation:
Add the like terms to Simplify :-
10z + 2x - 4
=> 12x - 4
The pencil is 10 cm long and the cup is 8 cm tall. Find the diameter of the base of the cup?