V 153
Given tan A= - and that angle A is in Quadrant IV, find the exact value of
sec A in simplest radical form using a rational denominator.
4
Answers
The secant of the angle A is 13/4
How to determine the value of sec(A)?The given parameter is:
[tex]\tan(A) = -\frac{\sqrt{153}}{4}[/tex]
Using the trigonometry identity, we have:
[tex]\sec^2(A) = \tan^2(A) + 1[/tex]
This gives
[tex]\sec^2(A) = (-\frac{\sqrt{153}}{4})^2 + 1[/tex]
Evaluate the exponent
[tex]\sec^2(A) = \frac{153}{16} + 1[/tex]
Evaluate the sum
[tex]\sec^2(A) = \frac{169}{16}[/tex]
Take the square root of both sides
[tex]\sec(A) = \pm \frac{13}{4}[/tex]
Secant in quadrant IV is positive.
So, we have:
[tex]\sec(A) = \frac{13}{4}[/tex]
Hence, the secant of angle A is 13/4
Read more about trigonometry ratios at:
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Answer:
4
Step-by-step explanation:
2 times 3 times ?
=4
A rocket is launched from atop a 74-foot cliff with an initial velocity of 113 ft/s. The height of the rocket above the ground at time t is given by h=16t^2+113t+74. When will the rocket hit the ground after it is launched? Round to the nearest tenth of a second.
Answers
9514 1404 393
Answer:
7.7 seconds
Step-by-step explanation:
The solution is given by the quadratic formula.
For ax² +bx +c = 0, the roots are ...
x = (-b±√(b²-4ac))/(2a)
We want the positive root, so ...
x = (-113 -√(113² -4(-16)(74)))/(2(-16)) = (113 +√17505)/32 ≈ 7.6658
The rocket will hit the ground about 7.7 seconds after it is launched.
The mean of a set of credit scores is Mu = 690 and Sigma = 14. Which statement must be true?
Answers
Answer:
B
Step-by-step explanation:
Answer: It’s C
Step-by-step explanation:
Which best describes an angle?
A. Two distinct rays that originate from a common point
B. Two parallel lines on a plane
C. The set of all points equidistant from a particular point
D. A line with a starting point that extends to infinity
Will give to the brainliest!!
Answers
What is the distance between (−5,−6) and (−3,−8)?
Choose 1 answer:
(Choice A)
2
(Choice B)
4
(Choice C)
the square root of 4
(Choice D)
the square root of 8
Answers
Please help i need a four letter code in ALL CAPS!
Answers
Answer:
LRIW
Step-by-step explanation:
I hope this is what you were looking for
In the triangle, ABC, the measure of ∠A is 30° and the measure of ∠C is 90°. What is the measure of ∠B?
Answers
Answer:
60°
Step-by-step explanation:
angle A +angle B +angle C = 180
30° +B+90°= 180
120°+B=180°
B=180°-120°
B=60°
A theater has 36 seats in the first row, 39 seats in the second row, 42 seats in the third row, and so on. How many seats are in the 18th row?
There are
seats in row 18
Answers
Answer: you'll have 87 seats in the 18th row
Step-by-step explanation:
an = a1+(n-1)d
a18= 36+(18-1)3
a18= 36+51
a18= 87
The 18th row will have 87 seats.
What is arithmetic progression?
'An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.'
According to the given problem,
Number of seats in row 1 = 36
Number of seats in row 2 = 39
Number of seats in 3rd row = 42
Difference between the numbers ( d ) = 39 -36
= 3
We know, according to the formula of Arithmetic Progression,
[tex]a_{n} = a_{1} + (n-1)d[/tex]
We need to find for the 18th row,
[tex]a_{1}[/tex] = 36
d = 3
n = 18
⇒ [tex]a_{18}[/tex] = 36 + ( 18 - 1 )×3
⇒ [tex]a_{18}[/tex] = 36 + 51
⇒ [tex]a_{18}[/tex] = 87
Hence, we can conclude, there will be 87 seats in the 18th row.
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Please help me ASAP please
Answers
Answer:
The total money you pay is dependentThe time is independentStep-by-step explanation:
First lets lay out our vocabulary
Dependent is the variable that relies on the other variable
Independent is the variable that can change however it can unlike the dependent
Since you HAVE to know the time to get the money, the time is independent.
The amount of time affects the total money as it goes up
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Answers
Answer:
Do 16 times pi.
Step-by-step explanation:
The closest answer is D.
Answer:
8 (option 1)
Step-by-step explanation:
Mark it as option 1 => 8 is the crt answer
2pi r = 16
r = 8
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Answer:
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Write the log equation as an exponential equation. You do not need to solve for x. log(5x+2)=3
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Answer:
So happy you are with brainly
Step-by-step explanation:
34
Triangle PQR with vertices P(-2, 3), Q(2, 4),
and R(1, -1) in the line x = -3.
Answers
9514 1404 393
Answer:
P'(-4, 3)Q'(-8, 4)R'(-7, -1)Step-by-step explanation:
Reflection over the line x=a is accomplished by the transformation ...
(x, y) ⇒ (2a -x, y)
For 'a' = -3, this becomes ...
(x, y) ⇒ (-6 -x, y)
P(-2, 3) ⇒ P'(-6-(-2), 3) = P'(-4, 3)
Q(2, 4) ⇒ Q'(-6-2, 4) = Q'(-8, 4)
R(1, -1) ⇒ R'(-6-1, -1) = R'(-7, -1)
what is the answer to this?
Answers
"Petra is making donuts by stamping circles in dough using a pastry stamp with a radius of 1.5 inches. For the donut hole, she stamps out a circle of dough using a pastry stamp with a radius of 0.5 inches." What is the area of the donut hole? Use 3.14 for . *
Answers
Answer:
6.28
Step-by-step explanation:
[tex](3.14)(1.5) {}^{2} = 7.065 [/tex]
[tex](3.14)(0.5) {}^{2} = 0.785[/tex]
[tex]7.065 - 0.785 = 6.28[/tex]
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Answer:
Step-by-step explanation:
Solve the system of equations by graphing
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Answer:
Here's a graph to help you solve this answer:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
Step-by-step explanation:
The slope of the line is 4/3.
The value of y when x = 0 is -7.
Equation of line:
y = (4/3)x - 7
What is the value of z for the equation 2 -- +22?
O
-3
O-1
0 1
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Answers
Answer:-1
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
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Answers
Answer:
option 2
Step-by-step explanation:
a colored in dot is less than or equal to or greater than or equal to while an uncolored dot is less then or greater than. arrow going left of the number is less than arrow going right is greater than. the problem is a is greater than 4/5 so an uncolored dot shout be on 4/5 going to the right
NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answers
Answer:
exponent
Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Portions of three rectangles are shaded as shown. What is the area of the shaded region?
8 ft
10 ft
5 ft
12 ft
4 ft
Area of the Shaded Region:
square feet
Answers
Answer:
4ft
Step-by-step explanation:
Answer: 77ft
Step-by-step explanation:
you deposit $1,200 in a bank account. Find the balance after 4 years in the account pays 3.5% annual interest compounded monthly
Answers
Answer:
The balance after 4 years would be $1,380.05.
Step-by-step explanation:
Given that you deposit $ 1,200 in a bank account, to find the balance after 4 years in the account pays 3.5% annual interest compounded monthly, the following calculation must be performed:
1,200 x (1 + 0.035 / 12) ^ 4x12 = X
1,200 x 1.00291666 ^ 48 = X
1,380.05 = X
Therefore, the balance after 4 years would be $1,380.05.
Answer:
The balance after 4 years in account pays 3.5% annual interest compounded monthly is 1308.05$
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Answers
Answer:2 and 3
Step-by-step explanation:
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1.) Write a quadratic rule that represents the table below in standard form.
- 7
x
у
-6
-5
0
-5
-8
4
-9
-3
-8
-2
-5
-1
0
0
7
1
16
2.
27
Answers
Step-by-step explanation:
1st quadrant is(+,+)
2nd quadrant is(+,-)
3rd quadrant is (-,-)
4th quadrant is (-,+)
Mr. Muñoz has a coupon for 15% off his entire purchase. He buys binoculars for $105 and hiking boots. He spends a total of $170 before tax.
solve an equation to find how much the hiking boots cost, X, before tax
Answers
Answer:
[tex]105(.15)+x=170[/tex]
Hope this helps, have an amazing day!
Answer:
144.50 so he got 25.50 Dollars off
10.) A book that normally cost $5.50
is marked up by 40%. What is the
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Answer:
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Round to the nearest tenth. NO LINKS pls help <3
Answers
Answer:
About 131.95 (you may have to round up)
Step-by-step explanation:
Volume of a cone = pi(r^2)(h/3)
= pi(3^2)(14/3)
= pi(9)(4 & 4/5)
= pi(43.2)
If your teacher wants an exact number, you have to multiply 43.2 y whatever your teacher says to shorten pi to, usually 3.14. The about 131.95 is from 43.2*3.14 I think.
if x =31 and z=27 then what is the value of y?
Answers
Answer: y = 89
Step-by-step explanation:
[tex]x=\frac{y-z}{2} \\\\31=\frac{y-27}{2}\\\\62=y-27\\\\89=y[/tex]