The requried secant function is the reciprocal of the cosine function, i.e., sec x = 1/cos x. Option C is correct.
What are trig ratios?If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.
Here,
The correct equation is option C: sec x = 1/cos x.
This is because the secant function is the reciprocal of the cosine function, i.e., sec x = 1/cos x.
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Find the lengths of the other two sides of the isosceles right triangle
Answer:
[tex]x=5[/tex]
[tex]h=\sqrt{(5)^{2}+x^{2} } =\sqrt{(5)^{2}+(5)^{2} }[/tex]
[tex]h=\sqrt{25+25} =\sqrt{50}[/tex]
[tex]h=5\sqrt{2}[/tex]
OAmalOHopeO
72a^7/-9 as a monomial
Answer:
− 8 a ^7
Step-by-step explanation:
See picture for steps :)
If M ABD = 65 and DBC=60 then m ABC=
Answer:
∠ ABC = 125°
Step-by-step explanation:
∠ ABC = ∠ ABD + ∠DBC that is
∠ ABC = 65° + 60° = 125°
The total amount of spending per year, in billions, on pets in a certain country x years after 2000 is given by the following function. P(x)=2.1786+25.2 a) Determine the total amount of spending per year on pets in 2007 and in 2012. b) Find and explain what it represents.
Answer:
40.4502 billion dollars
51.3432 billion dollars
Step-by-step explanation:
Given :
Total amount spent in billions in pets x years after year, 2000 ;
P(x)=2.1786x + 25.2
Amount spent in 2007 ;
x = 2007 - 2000 = 7 years
Put x = 7 in the equation :
P(7)=2.1786(7) + 25.2 = 40.4502
Amount spent in 2012 :
x = 2012 - 2000 = 12 years
Put x = 12 in the equation :
P(12) = 2.1786(12) + 25.2 = 51.3432
The amount spent in billik dollars on pets in :
2007 = $404502 billion
2012 = $51.3432 billion
6/6/ Is a proper fraction or improper fraction
Answer:
proper fraction
Step-by-step explanation:
a proper fraction has smaller numerator than its denominatot.
Answer: Proper Fraction
Step-by-step explanation:
The denominator is equal or bigger than the numerator.
Must click thanks and mark brainliest
[tex]-3x^{2} -4y^{2} -z^{2}+6xy-6x+4z[/tex]
If 2m−6=8m
2
m
-
6
=
8
m
then 3m=
3
m
=
A. 3
B. -1
C. -3
D. -6
E. I don't know.
Answer:
3m = -3
Step-by-step explanation:
2m−6=8m
Subtract 2m from each side
2m−6-2m=8m-2m
-6 = 6m
Divide by 6
-6/6 = 6m/6
-1 = m
3m = 3(-1) = -3
2m - 6 = 8m
2m - 8m = 6
-6m = 6
m = -6/6
m = -1
Hence, the answer is -1Consider rolling a fair die twice and tossing a fair coin nineteen times. Assume that all the tosses and rolls are independent.
The chance that the total number of heads in all the coin tosses equals 9 is(Q)_____ , and the chance that the total number of spots showing in all the die rolls equals 9 is(Q)__________ The number of heads in all the tosses of the coin plus the total number of times the die lands with an even number of spots showing on top (Q)______(Choose A~E)
a. has a Binomial distribution with n=31 and p=50%
b. does not have a Binomial distribution
c. has a Binomial distribution with n=21 and p=50%
d. has a Binomial distribution with n=21 and p=1/6
e. has a Binomial distribution with n=31 and p=1/6
Answer:
Hence the correct option is option c has a Binomial distribution with n=21 and p=50%.
Step-by-step explanation:
1)
A coin is tossed 19 times,
P(Head)=0.5
P(Tail)=0.5
We have to find the probability of a total number of heads in all the coin tosses equals 9.
This can be solved using the binomial distribution. For binomial distribution,
P(X=x)=C(n,x)px(1-p)n-x
where n is the number of trials, x is the number of successes, p is the probability of success, C(n,x) is a number of ways of choosing x from n.
P(X=9)=C(19,9)(0.5)9(0.5)10
P(X=9)=0.1762
2)
A fair die is rolled twice.
Total number of outcomes=36
Possibilities of getting sum as 9
S9={(3,6),(4,5)(5,4),(6,3)}
The total number of spots showing in all the die rolls equals 9 =4/36=0.1111
3)
The event of getting a good number of spots on a die roll is actually no different from the event of heads on a coin toss since the probability of a good number of spots is 3/6 = 1/2, which is additionally the probability of heads. the entire number of heads altogether the tosses of the coin plus the entire number of times the die lands with a good number of spots has an equivalent distribution because the total number of heads in 19+2= 21 tosses of the coin. The distribution is binomial with n=21 and p=50%.
Consider the line L(t)=⟨5+t,1+5t⟩. Then:
Choose perpendicular, parallel or neither. (PS. Answers below may not be true.)
If L(t) = ⟨5 + t, 1 + 5t⟩, then the tangent vector to L(t) is
dL/dt = ⟨1, 5⟩
Any line parallel to L(t) will have the same tangent vector, up to some scalar factor (that is, if the tangent vector is a multiple of ⟨1, 5⟩).
Any line r(t) with tangent vector T(t) = dr/dt that is perpendicular to L(t) will satisfy
T(t) • ⟨1, 5⟩ = 0
• r(t) = ⟨-5, -2t, 1 - 10t⟩ is parallel to L(t) because its tangent vector is
T(t) = ⟨-2, -10⟩ = -2 ⟨1, 5⟩
• r(t) = ⟨1 + 1.5t, 3 + 7.5t⟩ is parallel to L(t) because
T(t) = ⟨1.5, 7.5⟩ = 1.5 ⟨1, 5⟩
• r(t) = ⟨-2 - t, 2 - 2t⟩ is neither parallel nor perpendicular to L(t) because
T(t) = ⟨-1, -2⟩ ≠ k ⟨1, 5⟩
for any real k (in other words, there is no k such that -1 = k and -2 = 5k), and
⟨-1, -2⟩ • ⟨1, 5⟩ = -1 - 10 = -11 ≠ 0
• r(t) = ⟨3 + 15t, -3t⟩ is perpendicular to L(t) because
T(t) = ⟨15, -3⟩
and
⟨15, -3⟩ • ⟨1, 5⟩ = 15 - 15 = 0
Figure A AA is a scale image of Figure B BB. 12 12 6 6 x x 9 9 Figure B Figure B Figure A Figure A What is the value of x xx?
1m
2m
3m
4m
5m
hgfdvwsdfweffffffffffffffffffffff
,
Farmer Dave harvested his corn. He stored 5/9 of his corn in one large silo and ¾ of the remaining corn in a small silo. The rest was taken to market to be sold.
a. What fraction of the corn was stored in the small silo?
b. If he harvested 18 tons of corn, how many tons did he take to market?
After storing 5/9 in the large silo there was 4/9 left ( 1-5/9 = 4/9)
A. Multiply 4/9 by 3/4:
4/9 x 3/4 = 12/36 = 1/3
1/3 of the corn was in the small silo.
B. 1-5/9 -1/3 = 4/9-1/3 = 4/9-3/9 = 1/9
1/9 of the corn went to market:
18 x 1/9 = 18/9 = 2
2 ton went to market.
Jason has eaten 45 chocolates in 5 days. Each days, he ate 2 chocolates more than the previous day. How many chocolates did he ate on the first day?
Answer:5
Step-by-step explanation:
On the first day he ate 5. Second day he ate 7. Then 9, 11, and finally 13. That all equals to 45. I don't know for sure though...
what is the distance between the points (0, 10) and (–9, 1).
Answer:
9√2 units
Explanation:
Coordinates of point 1 = (0,10)
Coordinates of point 2 = (-9,1)
distance
=√[(x2-x1)²+(y2-y1)]²
= √[(-9-0)²+(1-10)]²
=> √[(-9)²+(-9)]²
=> √(81+81)
=> √162
=> 9√2
So, the distance between these points is 9√2 units.
5. Determine the formula for the following arithmetic sequence: 4, 7, 10, 13, ...
Answer:
[tex]a_{n}[/tex] = n + 3Step-by-step explanation:
Each number increases by 3. Therefore, n+3.
The bike you have been saving for is discounted 15%. You have $600 saved to purchase it. The original, non-discounted price of the bike is $650. There is a 5.58% sales tax added to the price of the bike. After you purchase the bike with the discount and sales tax, how much money will you have left over? Round your answer to the nearest dollar.
Answer:
16.67 or 17 when rounded to nearest dollar
Step-by-step explanation:
$650 x .85 (100%-15% discount) = 552.50 cost of bike on sale
552.50 x 1.0558 (100% + 5.58% tax) = 583.33 cost with tax added.
$600 - 583.33 = $16.67 money left over
Elijah invested $ 830 in an account paying an interest rate of 4.9% compounded quarterly. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 13 years?
Answer:
$9986
Step-by-step explanation:
You got 13*4=52 quarters in 13 years.
Amount = 830*(1+0.049)^52
Amount = 9986.27
6x47
Which multiple of 10 is closest to 47?
Answer:
50 is your answer:)Step-by-step explanation:
Answer:
50
Step-by-step explanation:
50 is the multiple of 10 that is closest to 47.
Determine what type of model best fits the given situation: A 4% raise in salary each year.
the models aren't given..
Answer: no models given
Step-by-step explanation:
For f(x)=1/x^2-3, substitute h for x in the function to solve for f(h).
The required function of h i.e f(h) is expressed as
[tex]f(h) = \dfrac{1}{h^2-3}[/tex]
Substitution of a function means replacing a variable with another variable without changing the structure of such function. According to the function given, we can see that we are simply meant to replace x with h as shown below:
Given the expression
[tex]f(x) = \frac{1}{x^2-3}[/tex]
To get f(h), we will substitute f in place of x that is x -> h as shown
[tex]f(h) = \frac{1}{h^2-3}[/tex]
Hence the required function of h i.e f(h) is expressed as
[tex]f(h) = \dfrac{1}{h^2-3}[/tex]
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d) A movie time was 2hours. 10% of the time was taken advertisement. How long was the actual movie?
Answer:
108 minutes
Step-by-step explanation:
Lets say that M+A is the time of the movie and the advertisement, so;
M+A = 2
And we know that 10% of that time is advertisement, mathematically that is:
A = 0,1*2
So replacing the second equation in the first one we have;
M + 0,1*2 = 2
M = 2-0,1*2 = 1,8 hours
We can convert hours into minutes multiplying by 60
1,8h*60min/h = 108min
What are four ways an inequality can be written?
Answer:
There are four ways to represent an inequality: Equation notation, set notation, interval notation, and solution graph.
Select the expression that represents the following statement: 3 times one fourth the difference of 26 and 10.
one fourth x (26 + 10) x 3
one fourth x (26 − 10) x 3
3 x one fourth x 26 − 10
3 x one fourth x 26 x 10
PLEASEE HEPPP
Answer:
the second option #2
one fourth x (26-10) x 3
Step-by-step explanation:
Two of the options (#1 and #4) can be ruled out immediately since they don't involve the difference of 26 and 10.
#3 can be ruled out because the difference needs to be multiplied by one fourth, but this option gives the wrong answer since the multiplication is done before subtraction (BODMAS)
Answer:
c
Step-by-step explanation:
I got it correct on a quiz
What’s the distance between (4,-9) and (5,3)
Answer: Distance = √145
Concept:
Here, we need to know the concept of the distance formula.
The distance formula is the formula, which is used to find the distance between any two points.
If you are still confused, please refer to the attachment below for a clear version of the formula.
Solve:
Given information
(x₁, y₁) = (4, -9)
(x₂, y₂) = (5, 3)
Given formula
[tex]Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute values into the formula
[tex]Distance = \sqrt{(5-4)^2+(3+9)^2}[/tex]
Simplify values in the parentheses
[tex]Distance = \sqrt{(1)^2+(12)^2}[/tex]
Simplify exponents
[tex]Distance = \sqrt{1+144}[/tex]
Simplify by addition
[tex]Distance = \sqrt{145}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Answer:
[tex]\boxed {\boxed {\sf \sqrt {145} \ or \ 12.04}}[/tex]
Step-by-step explanation:
The distance between 2 points is calculated using the following formula.
[tex]d= \sqrt {(x_2-x_1)^2+(y_2-y_1)^2)[/tex]
In this formula, (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.
We know the two points are (4, -9) and (5,3). If we match the values of the points and the coordinating variable, we see that:
x₁ = 4y₁= -9 x₂ = 5 y₂ = 3Substitute the values into the formula.
[tex]d= \sqrt { ( 5 -4)^2 + ( 3 --9)^2[/tex]
Solve inside the parentheses.
(5-4)= 1 (3 --9) = (3+9) = 12[tex]d= \sqrt {(1)^2 + (12)^2}[/tex]
Solve the exponents.
(1)² = 1 *1 = 1 (12)² = 12 * 12 = 144[tex]d= \sqrt{ 1+144}[/tex]
Add.
[tex]d= \sqrt{145[/tex]
Take the square root.
[tex]d=12.04159458[/tex]
Let's round to the nearest hundredth. The 1 in the thousandth place tells us to leave the 4 in the hundredth place.
[tex]d \approx 12.04[/tex]
The distance between the 2 points is √145 or approximately 12.04.
A clothing factory makes small, medium, and large sweaters. Last week, the factory made
1,612 sweaters. The factory made 3 times as many small sweaters as large sweaters. They
made 3 times as many medium sweaters as small sweaters.
How many small sweaters did the factory make last week?
This requires finding the number of small sweaters the company made last week
Number of small sweaters the company produced last week is 372
Total sweaters made = 1,612
Let
Small sweaters = 3x
Medium sweaters = x
Large sweaters = 3(3x) = 9x
Total = small + medium + large
1,612 = 3x + x + 9x
1612 = 13x
Divide by 13
x = 1612/13
Medium sweaters = x = 124
Small sweaters = 3x
= 3(124)
= 372
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Plz someone help me
Step-by-step explanation:
yo
so sorry I can't
really answer it
Integers that are not whole numbers
Answer:
a negative integer
Step-by-step explanation:
The polygons in each pair are similar. Find the missing side length.
Let missing one be x
If both are similar
[tex]\\ \sf\longmapsto \dfrac{20}{25}=\dfrac{16}{x}[/tex]
[tex]\\ \sf\longmapsto \dfrac{4}{5}=\dfrac{16}{x}[/tex]
[tex]\\ \sf\longmapsto 4x=16(5)[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{16(5)}{4}[/tex]
[tex]\\ \sf\longmapsto x=20[/tex]
complete explanation
Answer:
[tex]x ^{m - 3} \div x^{m - 4} \\ \frac{ {x}^{m - 3} }{ {x}^{m - 4} } \\ \frac{ {x}^{m - 3 - m + 4} }{x} \\ \frac{ {x}^{1} }{x} \\ x \: and \: x \: will \: cancel \: each \: other \: hence \: answer \: will \: be \: 1[/tex]
The area of a circle is 144cm².Find the radius
Answer:
It's a decimal, so it's around 6.771cm
Step-by-step explanation:
First, divide 144cm² by pi, or 3.14. Then find the square root of the answer, giving you the radius. The formula for the area of a circle is pi x radius squared, so to find out the radius you just use this formula in reverse.
If I messed up or didn't make my explanation clear, please comment.
Answer:
radius is [tex]\frac{12}{\sqrt{\pi } }[/tex] = 6.77 cm
Step-by-step explanation:
we know,
[tex]\pi[/tex] × r² = Area
⇒ [tex]\pi[/tex] × r² = 144
⇒ r² =[tex]\frac{144}{\pi}[/tex]
⇒ r= [tex]\frac{12}{\sqrt{\pi } }[/tex]
∴ r= [tex]\frac{12}{\sqrt{\pi } }[/tex]
pls mark this as the braniliest
Please solve the equation 4X-25=71
