Answer:
[tex]\sin(\theta_1)=-\dfrac{4}{5}[/tex]
Step-by-step explanation:
Given the angle [tex]\theta_1[/tex] located in [tex]\text {Quadrant IV}[/tex].
[tex]\cos(\theta_1)=\dfrac{3}{5}[/tex]
We want to determine the value of [tex]\sin(\theta_1)[/tex]
Now,
[tex]\cos(\theta)=\dfrac{Adjacent}{Hypotenuse}\\$Therefore:\\Adjacent=3\\Hypotenuse=5\\Using Pythagoras theorem\\Hypotenuse^2=Opposite^2+Adjacent^2\\5^2=Opposite^2+3^2\\Opposite^2=5^2-3^2=16\\Opposite^2=4^2\\$Opposite=4[/tex]
In Quadrant IV, x is positive, and y is negative.
Therefore, Opposite=-4
[tex]\sin(\theta_1)=-\dfrac{4}{5}[/tex]
Answer:
cos(\theta_1)=\dfrac{84}{85}cos(θ
1
)=
85
84
Step-by-step explanation:
Show that (2.1) is a solution of the system of equations.
Substitute (2, 1) into x + 3y = 5 to get -
Simplify the equation to get -
Substitute (2, 1) into y = -x+ 3 to get -
Simplify the equation to get -
Answer:
Substitute (2, 1) into x + 3y = 5 to get 2 + 3(1) = 5
Simplify the equation to get 5 = 5 is true
Substitute (2, 1) into y = –x + 3 to get 1 = -(2) + 3
Simplify the equation to get 1 = 1 is true
Step-by-step explanation: well i am doing it right now and i got it right
Which of the following is the graph of y = cosine (2 (x + pi))?
On a coordinate plane, a curve crosses the y-axis at (0, negative 1). It has a minimum of negative 1 and a maximum of 1. It goes through 2 cycles at pi.
On a coordinate plane, a curve crosses the y-axis at (0, negative 1). It has a minimum of negative 1 and a maximum of 1. It goes through 1 cycle at pi.
On a coordinate plane, a curve crosses the y-axis at (0, 1). It has a minimum of negative 1 and a maximum of 1. It goes through 1 cycle at 4 pi.
On a coordinate plane, a curve crosses the y-axis at (0, 1). It has a minimum of negative 1 and a maximum of 1. It goes through 2 cycles at 2 pi.
On a coordinate plane, a curve crosses the y-axis at (0, 1). It has a minimum of negative 1 and a maximum of 1. It goes through 2 cycles at 2 pi.
Which is the graph of the given function?Here we have the function:
y = cos(2*(x + pi))
First, let's distribute the product in the argument of the cosine:
y = cos(2x + 2pi).
Now, notice that 2pi is the period of a cosine function, then:
cos(2x) = cos(2x + 2pi)
Then we can write:
y = cos(2x)
Now, the y-intercept is:
y = cos(2*0) = 1
And because the factor of 2 inside the argument, it goes through 2 cycle at 2pi (instead of 1 cycle, like a normal cosine).
Then the correct option is:
"On a coordinate plane, a curve crosses the y-axis at (0, 1). It has a minimum of negative 1 and a maximum of 1. It goes through 2 cycles at 2 pi."
If you want to learn more about cosine functions, you can read:
https://brainly.com/question/8120556
Answer:
D
Step-by-step explanation:
Because i said so.
In a capture-recapture study, 97 grizzly bears were tagged and released back into the wild. A month later, 200 bears were captured of which 36 were tagged. About how many grizzly bears are in the population?
Answer:
539
Step-by-step explanation:
Let the total population of grizzly bears=x
In the first capture, 97 were tagged.
Therefore, ratio of the total population to the tagged=x:97
A month later, when 200 bears were captured, 36 were tagged.
Ratio of the sample to the tagged=200:36
Since a sample is representative of the population, the ratios are the same. We therefore have:
x:97=200:36
[tex]\dfrac{x}{97} =\dfrac{200}{36}\\ $Cross multiply\\36x=200 X 97\\x=200 X 97 \div 36\\x=538.9 \approx 539[/tex]
There are about 539 grizzly bears in the population
Marrisa sold a total of 18,200 worth of clothing last week at her store.If her commision is 4% of sales,how much commisssion did she earn?
Answer:
She would earn 728 $ in commission
Step-by-step explanation:
Three research departments have 8,6,7 members, respectively. Each department is to select a delegate and an alternate to represent the department at a conference. In how many ways can this be done
Answer:
70,560 ways
Step-by-step explanation:
This problem is an arrangement problem, as the order of the two people chose in each department matters.
So, for each department, we have an arrangement:
First department: arrange of 8 choose 2: A(8,2) = 8!/2! = 8*7 = 56
Second department: arrange of 6 choose 2: A(6,2) = 6!/2! = 6*5 = 30
Third department: arrange of 7 choose 2: A(7,2) = 7!/2! = 7*6 = 42
The total number of ways is the product of each number of arranges, so:
Number of ways = 56 * 30 * 42 = 70,560
Saad purchases 75 books and 75 dictionary .If a book costs Rs 476 and a dictionary costs Rs 128. Find the total money spent on books and dictionaries. *
Answer:
75.9
Step-by-step explanation:
can someone please help me :)
Answer:
B
Step-by-step explanation:
A baker makes muffins that serve one person each. For a party the baker is asked to make a large muffin in the same shape as the individual muffins that will serve 100 people. By what scale factor will the muffin need to be dilated? Round your answer to the nearest tenth.
the muffins are contained in creative paper liners. how many times more paper will be required for the dilated Muffin as for the original. Round your answer to the nearest Tenth
Answer:
100
100
Step-by-step explanation:
1 person to 100 people
The scale factor is 100
The paper fits 1 muffin
now it will have to a muffin 100 times bigger
100 is the scale factor
The result for the survey of 120 students who were selected randomly is listed below. The total population of students was 380. 66 students ride the yellow bus 24 students ride the city bus 30 students do not ride a bus . Based on the data, what is the best approximate for the total number Of students who ride the city bus?
Answer: 76 students
Step-by-step explanation:
Number of students surveyed = 120
Students who 66 ride yellow bus= 66
Students ride city bus = 24
Students who do not ride a bus = 30.
The fraction of students who ride the city bus will be:
= 24/120
= 1/5
Since the total population of the students is 380, the qpproximate for the total number of students that ride the city bus will be:
= 1/5 × 380
= 76 students
what is the solution for 1/2x + 8 < 10
1/2x+8<10
-8 -8
1/2x<2
*2 *2
x<4
Answer:
x<4
Answer:
x < 4
Step-by-step explanation:
Given inequation,
→ 1/2x + 8 < 10
Now the value of x will be,
→ 1/2x + 8 < 10
→ 1/2x < 10 - 8
→ x < 2 × 2
→ [ x < 4 ]
Hence, the value of x is 4.
In an elementary school, 25% of the 252 students ride a bus to school each day. How many students ride the bus?
Answer:
63
Step-by-step explanation:
Need help! Up to 100 points
Link or something. It's has been a nightmare with these questions...
Answer:
Part B
Part 1 describes a quartic function that's been reflected over the x-axis and translated up and to the right. (It's quartic because it has those bumps; it's like a quadratic in that its end behavior is down-down, but it has more bumps than a quadratic.)Part 2 describes an exponential decay function that approaches a horizontal asymptote. (This one looks just like Part 3 in the previous graph.)Part C
You're going to have to do this scatter plot on your own with the given software, because I don't know how your software works, but I can tell you that #1 will look like a quadratic, #2 a cubic, #3 a quartic, #4 a really fun third root that looks like a cubic on the y-axis instead of the x-axis.
Part D
You can look on Worldometer for graphs of the coronavirus; they have graphs in every individual country. I advise using the total cases on a logarithmic scale, because the question specified that it can't be linear.
Factor completely −5x3 + 10x2
Answer:
(2 - x)5x²Step-by-step explanation:
-5x³ + 10x² = 10x² - 5x³ (Commutative property of addition)
= 2×(5x²) - x×(5x²)
= 5x² × (2 - x) (Factor out 5x²)
Answer:
−5x2(x − 2)
Step-by-step explanation:
I took the test
Mr. Bryan's class has 60 students. 1 of the students stay for tutoring on Monday. If Mr. Bryan equally divides the students that stay
4
for tutoring into 5 groups, how many students are in each group?
Answer:
12 per group
Step-by-step explanation:
You divide the amount of students by the amount of groups.
60/5 = 12
Write a word problem for this equation 5s+6=46
Answer:
s=41/2 or 8.2
Step-by-step explanation:
what’s the answer for this question
a number is rolled once and then rolled again. What is the probability of rolling a 3 followed by rolling a 6?
Answer:
2
Step-by-step explanation:
because if you multiply 3 by 2 it gives you six\
Answer:
the answer is 3-6
Step-by-step explanation:
I need the work for this please
Answer:
(x^4/3)^3/2 = x^a
<=>
x^[(4/3)x(3/2)] = x^a
<=>
x^2 = x^a
<=>
a = 2
Find the volume of the figure
Answer:
You would do length x width x hight so it would be and don’t forget to add the inches
14x17.5x6.4= 1641.5in
Coach Walker wants to buy equal numbers of footballs and basketballs for her PE class. The footballs cost $9 each, and the basketballs cost $7 each. Coach Walker has $208 for the purchase. How many of each type of ball can she buy?
Answer:
13 footballs and 13 basketballs
Step-by-step explanation:
Let f = footballs
b = basketballs
f=b since we are buying an equal number
9f+7b = 208
Substitute f=b
9f+7f = 208
16f = 208
Divide by 16
16f/16 = 208/16
f=13
We are buying 13 footballs
Since f=b
We are buying 13 basketballs
What is the volume of this solid?
A triangular prism. The triangular base has a base of 10 inches and height of 7 inches. The height of the prism is 8 inches.
Recall the formula V = Bh.
280 cubic inches
385 cubic inches
465 cubic inches
560 cubic inches
Answer:
the answer: 280ci
Step-by-step explanation:
:] [:
Answer:
280
Step-by-step explanation:
I need the answerrrrr
Answer:
28unit³
Step-by-step explanation:
given,
1 side has 21/2 unit square area
the side happens to be l×b
h is given as 8/3
the volume formulae is l×b×h
substituding in formulae
21/2×8/3
=28 unit³
this is correct
plzz mark me brainliest
Identifying Characteristics Determine the statements that characterize cylinders and cones. Check all that apply. Cylinders have two circular bases. Cones have one circular base. The lateral area of a cylinder is a triangle. The lateral area of a cone is a rectangle. The lateral area of a cylinder is related to circumference of the circular bases.
Answer:
a,b, and e
Step-by-step explanation:
i did the lesson on edge2020
A mans taxable income is $15 200. He pays tax at the rate of 25% . The amount of income tax he pays is.
Please answer quickly and honest. You have 10 Seconds to complete.
Answer:
3800
Step-by-step explanation:
15200 times 0.25 is 3800
how can i describe the expression 3x−2
please help
Answer:
Step-by-step explanation:
3X-2=0
3X=2
X=2/3 OR X=0.66
Answer:
so -2 is the constant(integer without any variable) and 3 is the coefficient(what the variable is being multiplied by) and x is the variable(the unknown term)
we can't solve/simplify this expression since
a) it's an expression, it's impossible to solve since there's no equal sign
b)there are no like terms to simplify this
Consider the quadratic function f(x)= 2(x + 4)² − 6. What is the line of symmetry?
Answer:
see attachement
Step-by-step explanation:
y13 = 817
Round to the nearest tenth
WHAT IS 666x666 help me
Answer:
666 x 666 = 443,556
Answer:
443556
Step-by-step explanation:
666 * 666 = 443556
666
x666
-------
443556
need help asap :) they said the text was too short so don't mind this
Answer:
try 63
Step-by-step explanation:
14×9=126
126÷2=63
Answer: area of 63
Step-by-step explanation: the formula is Area = height * base/2
so now substitute Area = 9 * 14/ 2
multiply... Area = 126/ 2
then divide to get 63
hope this helps mark me brainliest if it did
Describe what math step you would do to solve this equation ?
Answer:
Multiply each side by 14.7
Step-by-step explanation:
cos 50 = m / 14.7
Multiply each side by 14.7
14.7 cos 50 = m /14.7 *14.7
14.7cos 50 = m
Answer:
multiply both sides by 14.7
Step-by-step explanation:
