Answers
Answer:
Step-by-step explanation:
[tex]sin^2\theta+cos^2\theta=1~=>sin\theta=\pm\sqrt{1-cos^2\theta}\\\\cos\theta=\frac{\sqrt{2}}{2}[/tex]
we'll took the negative solucion of sin because sin is negative in IV cuadrant
[tex]sin\theta=-\sqrt{1-(\frac{\sqrt{2}}{2})^2}=-\frac{1}{\sqrt{2}}=-\frac{\sqrt{2}}{2}[/tex]
[tex]tan\theta=\frac{\sin\theta}{\cos\theta}[/tex] => [tex]tan\theta=-1[/tex]
so, the right option is the last one
Related Questions
Need help with this math question 15 points
Answers
Find the area of the circle
Pls help quick
Answers
Answer:
153.86.
Step-by-step explanation:
Formula for area of a circle: A= Pi R (R is radius) squared. First fill in the numbers: 3.14x7^2 Then Solve for the squared: 7^2=49, then finally multiply 49x3.14 which gets you to 153.86.
What function equation for the input/output table

Answers
Answer: The answer would be y = x + 8
Step-by-step explanation:
In the triangle below..
Answers
Answer:
44
Step-by-step explanation:
Step 1: Create an equation to solve for ∠Z
Recall that trig ratio tangent = Opposite over Adjacent
Opposite of ∠Z = 75 and adjacent of ∠Z = 79
Hence, [tex]tan(z)=\frac{75}{79}[/tex]
We now solve for z
Step 1: Multiply each side by the inverse of tan ( tan ) ^-^1
[tex]tan(z)*tan^-^1=z\\tan^-^1(\frac{75}{79} )=43.51213147[/tex]
We're left with z = 43.51213147
Our last step is to round to the nearest degree,
We get that ∠Z = 44
Is it possible to design a table
where no two legs have the same length? Assume
that the endpoints of the legs must all lie in the same
plane. Include a diagram as part of your answer.
Answers
Mohammad is flying a kite with a 100 foot string. The kite string makes an
angle of 42° with the ground. Find the height of the kite. Round to the nearest
tenth.
Answers
Answer:
A?
Step-by-step explanation:
So sorry if im wrong
Answer:
66.9 ft from the ground
use this if you have a problem like this again
https://www.calculator.net/triangle-calculator.html
Here is the function for the number of zombies, N, after t years, with the negative exponent expressed using the fraction ½:
N(t) = 300 • 0.5t/8
What is the half-life for the zombie population?
Answers
Answer:
The half-life for the zombie population is of 8 years.
Step-by-step explanation:
Exponential equation:
An exponential equation has the following format:
[tex]N(t) = N(0)(1-r)^t[/tex]
In which N(0) is the initial value and the part [tex](1-r)^t[/tex] is related to the decay.
In this question:
[tex]N(t) = 300(0.5)^{\frac{t}{8}}[/tex]
Thus N(0) = 300, that is, initial population of 300.
What is the half-life for the zombie population?
This is t for which N(t) = 0.5*300 = 150. So
[tex]N(t) = 300(0.5)^{\frac{t}{8}}[/tex]
[tex]150 = 300(0.5)^{\frac{t}{8}}[/tex]
[tex](0.5)^{\frac{t}{8}} = \frac{150}{300}[/tex]
[tex](0.5)^{\frac{t}{8}} = 0.5[/tex]
[tex](0.5)^{\frac{t}{8}} = (0.5)^1[/tex]
Equal exponents, so:
[tex]\frac{t}{8} = 1[/tex]
[tex]t = 8[/tex]
The half-life for the zombie population is of 8 years.
You pick a word at random from the set of all words of length six of letters of the alphabet with no repeated letters. What is the probability that the word begins and ends with a vowel
Answers
Answer: [tex]\dfrac{2}{65}[/tex]
Step-by-step explanation:
Given
There is a six letter word with no repeated letters
Number of ways of arranging 6 letters out of 26 letters is [tex]^{26}P_6[/tex]
For the 6 letter word with vowels in the beginning and the end can be formed by selecting 2 vowels out of 5 available.
First place has 5 choices to fill and the last place left with 4 choices to fill
Remaining 4 places can be filled by [tex]^{24}P_4[/tex] ways
So, the required probability is given by
[tex]\Rightarrow \dfrac{5\times ^{24}P_4\times 4}{^{26}P_6}=\dfrac{2}{65}[/tex]
find the HCF of 84, 120 and 360
Answers
Answer:
12
Step-by-step explanation:
please hbelpppppppppppppppppppppppp quick
Answers
Answer:
#1 I believe the answer is 4 and for 2 I believe the answers are 3&4
How much would you have to deposit today to have an accumulated amount of 20,000 in 20 years if yearly interest is 4.75% compounded continuously?
Answers
WORTH 20 POINTS
Use the volume formula to find the volume of the prism.
A. 9 cubic units O
B. 18 cubic units
C. 4 cubic units O
D. 7 cubic units
Answers
9514 1404 393
Answer:
A. 9 cubic units
Step-by-step explanation:
We interpret the smudges in your attachment to be dimensions of 1 1/2, 4, and 1 1/2. The volume is the product of these.
V = LWH
V = (4)(1.5)(1.5) = 9 . . . . cubic units
The volume of the prism is 9 cubic units.
Find mEC.
5x - 27)
(2x - 5)
D
Answers
Answer:
Arc EC = 58°
Step-by-step explanation:
First, find the value of x.
m<D = ½(arc EC) => Inscribed Angles Theorem
Substitute
2x - 5 = ½(5x - 27)
Multiply both sides by 2
2(2x - 5) = 5x - 27
4x - 10 = 5x - 27
Collect like terms
4x - 5x = 10 - 27
-x = -17
Divide both sides by -1
x = 17
Find arc EC:
Arc EC = 5x - 27
Plug in the value of x
Arc EC = 5(17) - 27 = 85 - 27
Arc EC = 58°
Find the value of x that will make A||B
5x +.20
A-
7
B
3x + 60
x = [?]
Enter
Answers
Answer:
x=20
Step-by-step explanation:
Both Angles have the same value, as they are opposite angels.
Set your formula up as
5x+20=3x+60
5x=3x+60-20
2x=40
x=40/2
x=20
1. Which of these is an infinite arithmetic sequence?
O {691, 632, 573, 514}
O {232, 354, 476, 598, ...}
O {845, 169, 33.8, 6.76, ...}
O {724, -362, 181, -90.5}
Answers
Answer: Choice B
Each time we're adding 122 to each term to get the next term
232+122 = 354354+122 = 476476+122 = 598This goes on forever because of the three dots, hence the set is infinitely large.
We say that the common difference is 122. Subtracting any two adjacent terms gets us this value. Eg: 354-232 = 122.
The area of a rectangle is given by 3x3+14x2−23x+6. The width of the rectangle is given by x + 6. Find an expression for the length of the rectangle.
Answers
Answer:
is that 3x or mutiply sign
Answer:
3x^2-4x+1
Step-by-step explanation:
Find the value of x for the right triangle. Round your answer to the nearest hundredth.
450
19
Answers
Answer:
450 foe
Step-by-step explanation:
Peter and Mary take turns throwing one dart at the dartboard. Peterhits the bulls eye with probabilitypand Mary hits the bullseye with probabilityr.Whoever hits the bullseye first wins. Suppose Peter throws the first dart.(a) What is the probability that Mary wins
Answers
Answer:
[tex]P(Mary) = (1 - p) * r[/tex]
Step-by-step explanation:
Given
[tex]p \to[/tex] Peter hits
[tex]r \to[/tex] Mary hits
Required
The probability that Mary wins
From the question, we understand that Peter throws the first.
If Mary is to win, then Peter has to lose his throw
Using the complement rule, the probability that Peter misses is:
[tex]p' = 1 - p[/tex]
So, the probability that Mary wins is:
[tex]P(Mary) = p' * r[/tex]
This gives:
[tex]P(Mary) = (1 - p) * r[/tex]
How many 1/2 unit cubes does it take to fill the prism?
Answers
Final answer: 12
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Answers
Step-by-step explanation:
perimeter o rectangle is 16
Answer:
Step-by-step explanation:
perimeter of rectangle=2(l+b)
=2(8+4)
=2*12
=24 ft
Which graph best represents an exponential function?
• A.
B.
C.
Answers
A kite is formed by an equilateral triangle with sides 6 cm and an isosceles triangle with legs 5 cm. Find the area of the kite.
Answers
Answer:
The area of the kite is 27.6 cm²
Step-by-step explanation:
Given;
dimension of the equilateral triangle, = 6 cm
dimension of the isosceles triangle = 5 cm
Please check the image uploaded for a detailed solution.
Which expression represents the following calculation?
Add 3 to the quotient of 8 divided by 6.
(8 + 6) + 3
(8 + 6) = 3
(8 + 3) = 6
6+ (3 * 8)
Answers
Answer:
[tex](8 \div 6) + 3[/tex]
Step-by-step explanation:
Required
The equivalent expression
To do this, we take it one step at a time.
First, the quotient of 8 divided by 6;
This means 8 divided by 6: [tex](8 \div 6)[/tex]
3 added to it;
The expression becomes: [tex](8 \div 6) + 3[/tex]
match the prefixes with the metric unit
Answers
Answer:
kilo =1*10^3 grams
nano=one millionth
micro=0.01 litres
centi=0.0000000001 meters
Step-by-step explanation:
The initial number of bacteria cells in a culture is 1000, and this number increases by 6% every hour. Approximately how many bacteria would be in the culture after 4 hours?
Answers
Answer:
1,264
Step-by-step explanation:
a = 1000(1.06)^4
a = 1,262.47696
1,264
Given the quadratic equation X2 - 5x + 10 = 0
Which of the following gives the value of the discriminant along with the
proper interpretation of it
a. discriminant = 105 there are two solutions
b. discriminant = 105 there are no solutions
c. discriminant = -15 there are two solutions
d. discriminant = -15 there are no solutions
Answers
Answer:
b
Step-by-step explanation:
I need this by Friday please !
Find a degree measure of each angle in the triangle!
Answers
Answer:
B=19
C=42
D=119
Step-by-step explanation:
First, fine the value of x, than use that in each angle to find the measurement.
All angles together in the triangle equal 180
Set your formula up as
180=(x+2)+(3x-9)+7x
180=x+3x+7x+2-9
180-2+9=11x
187=11x
187/11=x
17=x
Angle B
B=x+2
B=17+2
B=19
Angle C
C=3x-9
C=3*17-9
C=42
Angle D
D=7x
D=7*17
D=119
Now add all 3 tougher to check your work
19+42+119 = 180
1/4 x 1/6 x 1/12= What fraction did Phil eat of the pizza
Answers
Answer:
[tex] \frac{1}{288} [/tex]
Step-by-step explanation:
the 1 will always stay the same because all of them are 1's
4×6=24
24×12=288
Answer:
garage bozo
Step-by-step explanation:
How would you write5 x 5 x 5 x 5 as a numerical expression using exponential notation ?
Answers
Using the exponential notation, the correct expression which represents 5 × 5 × 5 × 5 is 5⁴
Given tha expression :
5 × 5 × 5 × 5Number of 5's = 4
The number of 5's can be used as the power of the base, since the base is common.
Base = 5
Hence,
5 × 5 × 5 × 5 = 5⁴
Learn more : https://brainly.com/question/25629067
if x is directly proportional to y and x= 4.5 when y = 3 find y when x = 24
Answers
Answer:
Step-by-step explanation:
x/y=y/x
4.5/3=24/y
do cross multiplication
24*3=y*4.5
72=4.5y
72/4.5=y
16=y