Answer:
[tex]\sec \theta = \frac{\sqrt{22}}{4}[/tex]
Step-by-step explanation:
Given
[tex]\tan^2 \theta = \frac{3}{8}[/tex]
Required
[tex]\sec\ \theta[/tex]
We have:
[tex]\sec^2\theta = 1 + \tan^2 \theta[/tex]
This gives:
[tex]\sec^2\theta = 1 + \frac{3}{8}[/tex]
Take lcm and solve
[tex]\sec^2\theta = \frac{9+3}{8}[/tex]
[tex]\sec^2\theta = \frac{11}{8}[/tex]
Take square roots
[tex]\sec \theta = \frac{\sqrt{11}}{\sqrt 8}[/tex]
[tex]\sec \theta = \frac{\sqrt{11}}{2\sqrt 2}[/tex]
Rationalize
[tex]\sec \theta = \frac{\sqrt{11}}{2\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}[/tex]
[tex]\sec \theta = \frac{\sqrt{22}}{4}[/tex]
Answer:
answer is B
Step-by-step explanation:
i got it right on edg
PLS HELP ASAP. NO LINKS
When z= 9, the value of z2 + 1 is
Two functions are shown in the table below f(x) equals -X squared plus 4X +12 And G(x)
equals X +2
Answer:
[tex]x = -2; x = 5[/tex]
Step-by-step explanation:
Given
[tex]f(x) = -x^2 + 4x + 12[/tex]
[tex]g(x) = x +2[/tex]
Required
For what value of x is: [tex]f(x) = g(x)[/tex]
[tex]f(x) = g(x)[/tex] implies that
[tex]-x^2 + 4x + 12 = x + 2[/tex]
Collect like terms
[tex]-x^2 + 4x -x + 12 -2 = 0[/tex]
[tex]-x^2 + 3x + 10 = 0[/tex]
Expand
[tex]-x^2 + 5x-2x + 10 = 0[/tex]
Factorize
[tex]-x(x - 5)-2(x - 5) = 0[/tex]
Factor out x - 5
[tex](-x - 2)(x - 5) = 0[/tex]
Solve for x
[tex]-x - 2 = 0; x - 5 = 0[/tex]
So:
[tex]x = -2; x = 5[/tex]
What is the surface area of the rectangular prism below? 8 19 8
Answer:
736 units squared (c)
Step-by-step explanation:
Took the quiz
I need the answer the question is in the picture
Answer:
D) 1 3/4
Step-by-step explanation:
Examine the geometric relationship in the diagram below which option shows the correct value of x and y
Answer:
c
Step-by-step explanation:
Find the perimeter of the figure.
Answer:
45 inches (choice B)
Step-by-step explanation:
The perimeter is the sum of all of the sides of a shape. Since the sides are given this problem is fairly easier than other problems. You simply have to add the numbers together.
8 + 3 + 3 + 6 + 6 + 19 = 45 inches
Answer:
45 in.
Step-by-step explanation:
Perimeter = 8 + 3 + 6 + 19 + 6 + 3
= 45.
NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at Math.
The graph of which function has an amplitude of 3 and a right phase shift of π/4?
A: y= 3sin2(x- π/4)
B: y = 3 + sin2(x- π/4)
C:y = 3 + sin2(x+ π/4)
D:y = 3sin2(x+π/4)
Answer:
[tex]D.\ y = 3\sin(2(x + \frac{\pi}{4}))[/tex]
Step-by-step explanation:
Given
[tex]A = 3[/tex] --- Amplitude
[tex]C = \frac{\pi}{4}[/tex] --- Right phase shift
Required
Identify the function
A sinusoidal function is defined as:
[tex]y = A\sin(B(x + C)) + D[/tex]
Substitute values for A and C
[tex]y = 3\sin(B(x + \frac{\pi}{4})) + D[/tex]
By comparison, only option (D) has the above format where
[tex]y = 3\sin(2(x + \frac{\pi}{4}))[/tex]
Hence (D) is correct
What inequality is shown by the graph?
Step-by-step explanation:
2x - 10y > -20
=> x - 5y > -10
or x - 5y +10 > 0
What type of correlation is shown in the graph ? positive no correlation linear negative
Answer:
positive
Step-by-step explanation:
What type of triangle has a circumcenter on the exterior of the triangle?
Answer:
acute triangle
if i m wrong please dont mind and
correct me
PLEASE HELP ASAPPP!!!!!
Three coins are flipped. What is the probability that there will be two tails and one head?
What is the result when 16x + 9 is subtracted from 4x + 6
Answer:
(4x+9)-(16x+9) = 4x+9-16x-9
= -12x
HELP ME PLZ WILL MARK U AS BRAINLIEST
Answer:
yes
Step-by-step explanation:
the difference of mean is 10.5
the mean for Mrs.S was 26.7 while for Mr.C it was 37.2.
using this info we can infer that Mr.C uses 10-11 more textbooks monthly
What is the difference between function and operator in math?
Step-by-step explanation:
In mathematics, a function is a mapping from set A to a set B that has a unique output for any given input. “Operators” or “operations” are typically defined as a special type of function.
Look below (Will give brianliest)
NO link and pls explain
Answer:
80
Step-by-step explanation:
brainliest please ;>
Write the word sentence as an inequality.
A number x is greater than 0.
Answer:
x>0
I am very certain.
brainliest?
If the switches at 2, 3, 4, and 5 are independently closed or open with probabilities 0.1 (for closed) and 0.9 (for open), what is the probability of a closed path between the input line on the left and the output line on the right
Complete Question
The Complete Question is attached below
Answer:
[tex]P(X)=0.0163[/tex]
Step-by-step explanation:
From the question we are told that
Probability of open [tex]P(x)O=0.9[/tex]
Probability of open [tex]P(x)C=0.1[/tex]
Generally the equation for Probability of a closed path between the input line on the left and the output line on the right is mathematically given by
[tex]P(X)=(P(3\&5)C*P(2\&4)C)+(P(2\&4)O+P(2\&4)C*P(1\&3)O)+(P(1\&3)C-P(3\&5)C*P(2\&4)C)[/tex]
[tex]P(X)= 0.1*0.1*(0.1*0.1+0.9*0.9 ) + 0.1*0.1*(0.9*0.9 + 0.1*0.1) - 0.1*0.1*0.1*0.1[/tex]
[tex]P(X)=0.0163[/tex]
What is the solution of |4 − y| = 1?
A. y = 3 or y = 5
B. y = −3 or y = −5
C. y = −3 or y = 5
D. y = 3 or y = −5
A is the answer.
Answer:
A
Step-by-step explanation:
|4 − y| = 1
drop absolute value lines
create two problems
4 - y = 1
and
4 - y = -1
solve for y
What inequality does the number line graph represent
Answer:
5x + 3 ≥ 18
Step-by-step explanation:
when solved, the inequality is x ≥ 3
x ≥ 3 indicates all values greater than 3, including 3, should be in the solution set
What is the value of x?
Answer:
value of x i think correct answer is 2
Solve the system using substitution.
y = 4x – 8
y = 2x + 10
Answer:
9,28
Step-by-step explanation:
see image below:)
What is the median of 6, 7, 3, 15, 4, 4.
Answer:
5
Step-by-step explanation:
The median is the middle when the numbers are lined up from smallest to largest
3,4,4,6,7,15
There are 6 number so the middle is the between the 3rd and 4th number
3,4,4, 6,7,15
Take the 3rd and 4th numbers and average
(4+6)/2 = 10/2 = 5
Answer:
median = 5
Step-by-step explanation:
Arrange the data in ascending order :
3 , 4 , 4 , 6 , 7 , 15
Choose the middle number.
Here there are even number of data. Take the average of the middle
numbers .
4 and 6 are the middle number. average of 4 and 6 = ( 4 + 6 ) /2 = 5
Therefore , median = 5
Someone help me please
9514 1404 393
Answer:
$448
Step-by-step explanation:
The given formula will tell you the amount of interest earned:
I = Prt
I = $400·0.02·6 = $48
The account balance will be the sum of the original deposit and the interest it earns:
$400 +48 = $448 . . . . balance after 6 years
Geometry question finding radius and area
Thank You!!
Answer:
The radius of Circle D is 8 cm.
The perimeter of ΔABC is (24 + 6√7) cm.
Step-by-step explanation:
First, let the intersection point below D be K and let the intersection point between A and B be J.
Since segment BK, which passes through the center of the circle, is perpendicular to chord AC, BK also bisects AC. Hence, AK = CK.
Connect points A and D to create radius AD. Note that BD is also a radius. Hence, AD = BD.
For ΔABK, by the Pythagorean Theorem:
[tex]AB^2=(BD+1)^2+AK^2[/tex]
Since AB = 12:
[tex]144=(BD+1)^2+AK^2[/tex]
For ΔADK, by the Pythagorean Theorem:
[tex]AD^2=1^2+AK^2[/tex]
Since AD = BD:
[tex]BD^2=1+AK^2[/tex]
Subtract the second equation into the first:
[tex]144-(BD^2)=(BD+1)^2+AK^2-(1+AK^2)[/tex]
Simplify:
[tex]144-BD^2=BD^2+2BD+1-1[/tex]
Hence:
[tex]2BD^2+2BD-144=0[/tex]
Simplify:
[tex]BD^2+BD-72=0[/tex]
Factor:
[tex](BD+9)(BD-8)=0[/tex]
By the Zero Product Property:
[tex]BD=-9\text{ or } BD=8[/tex]
Since the radius must be positive, the radius is 8 cm.
Since we already know AB and BC, we need to find AC to find the perimeter.
Note that AC = AK + CK = 2AK.
From the second equation:
[tex]BD^2=1+AK^2[/tex]
Thus:
[tex]AK=\sqrt{BD^2-1}=\sqrt{(8)^2-1}=\sqrt{63}=3\sqrt{7}[/tex]
Hence:
[tex]AC=2(AK)=2(3\sqrt7)=6\sqrt7[/tex]
Therefore, the perimeter of ΔABC is:
[tex]P=(12)+(12)+(6\sqrt7)=24+6\sqrt7\text{ cm}[/tex]
0.01 0.03 0.09 0.35 0.41 0.41 0.41 0.42 0.54 0.57 0.71 0.77 0.83 0.87 0.93 0.95 0.99 1.01 1.01 1.09 1.12 1.33 1.34 1.45 1.48 1.49 1.54 1.65 1.73 1.82 1.87 1.95 1.99 2.02 2.03 2.16 2.32 2.33 2.35 2.46 2.48 2.55 2.61 2.62 2.63 2.69 2.72 2.72 2.85 2.96
find the median
Step-by-step explanation:
[tex]median = \frac{1.48 + 1.49}{2} [/tex]
[tex] = \frac{2.97}{2} [/tex]
[tex] = 1.485[/tex]
Which statement is true about the equations -3x 4y = 12 and #*-}y=I?
O The system of the equations has exactly one solution at (-8, 3).
O The system of the equations has exactly one solution at (-4, 3).
O The system of the equations has no solution; the two lines are parallel.
The system of the equations has an infinite number of solutions represented by either equation.
What is a solution to the system? y = x^2 + 2x - 15 y – 4x = -12
9514 1404 393
Answer:
(x, y) = (-1, -16) or (3, 0)
Step-by-step explanation:
Perhaps you want to solve the system of equations ...
y = x^2 +2x -15y -4x = -12Substituting the first expression for y into the second equation gives ...
x^2 +2x -15 -4x = -12
x^2 -2x -3 = 0 . . . . . . . . add 12
(x -3)(x +1) = 0 . . . . . . . factor
Solutions are the values of x that make the factors zero: x = 3, x = -1.
The corresponding values of y are ...
y = -12 +4x
y = -12 +4{-1, 3} = -12 +{-4, 12} = {-16, 0}
The solutions to the system are ...
(x, y) = (-1, -16) or (3, 0)
The company has only two division division eight and division be last year division a made 60% of the companies total revenue and division be made 40% of the total revenue this year division as revenue has decreased by 35% and division bees revenue has decreased by 5% which division had higher revenue this year?
9514 1404 393
Answer:
Division A
Step-by-step explanation:
Suppose last year's revenue for the company was 100 units.
Last year's Division A revenue was 0.60×100 = 60. This year's revenue is 1-35% = 65% of last year's, so is ...
60 × 0.65 = 39 . . . . units
__
Last year's Division B revenue was 0.40×100 = 40. This year's revenue is 1-5% = 95% of last year's, so is ...
40 × 0.95 = 38 . . . . units
__
At 39 units this year, Division A still has the higher revenue than Division B at 38 units.
Customer: "A previous representative told me that I would receive a 17% discount on my $123.76 service plan. How much is the discount?" Representative: "You will receive a discount of __________
Answer:
$21.04
Step-by-step explanation:
123.76 x 17% = 21.0392 = 21.04
I will give BRAINLIEST to whoever answers correctly first!!!
Sophie wants to buy a pair of scissors that cost $1.82. If she gives the cashier a five dollar bill, how
much change should she get back?
Answer:
Sophie will get $3.18 back in change.
Step-by-step explanation:
You do 5.00-1.82 and you get 3.18, which is equal to the change that Sophie will get.