Answer:
Find sin 2x, knowing tan x = -2, and cos x > 0
Ans:
sin
2
x
=
4
5
Explanation:
3 Trig identities to be used:
1
+
tan
2
x
=
1
cos
2
x
(1)
sin
2
x
+
cos
2
x
=
1
(2)
sin
2
x
=
2
sin
x
.
cos
x
(3)
Given tan x = -2. First find cos x and sin x
(1) -->
1
+
4
=
1
cos
2
x
-->
cos
2
x
=
1
5
-->
cos
x
=
±
1
√
5
.
Since cos x > 0, then
cos
x
=
1
√
5
.
(2) -->
sin
2
x
=
1
−
cos
2
x
=
1
−
1
5
=
4
5
-->
sin
x
=
±
2
√
5
.
Since cos x > 0 then
sin
x
=
2
√
5
.
(3) -->
sin
2
x
=
2
sin
x
.
cos
x
=
2
(
1
√
5
)
(
2
√
5
)
=
4
5
Answer link
grace has 18 blueberry muffins and 24 cranberry muffins. she wants to serve the muffins so that each plate has the same number of each type of muffin. what is the greatest number of plates grace should use so that each plate has the same number of each type of muffin
Answer: 6 plates
Step-by-step explanation:
18 ÷ 6 = 3
24 ÷ 6 = 4
3 blueberry muffins and 4 cranberry muffins for each plate.
Answer:
6 because there can be 6 plates of 2 blueberry muffins and 4 cranberry muffins
Step-by-step explanation:
Which equation represents a line which is parallel to the y-axis?
X=-4y
Y=x-3
Y=-7
X=-8
Answer:
x = -8
Step-by-step explanation:
If the line is parallel to the y axis, that means it will be a vertical line.
Vertical lines have an equation of x = , because the line will only go through one x value.
They also will not have a slope, because their slope is undefined.
So, the correct answer is x = -8
Thirteen less than eight times a number is - 18.
Choose the correct answer below.
A. 8x + 13 = - 18
B. 8(x - 13) = -18
C. 13x - 8 = - 18
D. 13x + 8 = - 18
E. 8x - 13 = - 18
Answer:
C
Step-by-step explanation:
13-8x =-18 with x being a random number apart from zero
I really need help , Please help
Answer:
Step-by-step explanation:
Inpert
use the table to write a proportion.
Answer:
22
Step-by-step explanation:
People with albinism have little pigment in their skin, hair, and eyes. The gene that governs albinism has two forms (called alleles), which we denote by a and A. Each person has a pair of these genes, one inherited from each parent. A child inherits one of each parent's two alleles independently with probability 0.5. Albinism is a recessive trait, so a person is albino only if the inherited pair is aa.
a. Beth’s parents are not albino, but she has an albino brother. This implies that both of Beth’s parts have type Aa. Why?b. Which of the type aa, Aa, AA could a child of Beth’s parents have? What is the probability of each type?c. Beth is not albino. What are the conditional probabilities for Beth’s possible genetic types, given this fact?
Answer:
a)
If Beth’s parents are not albino, but she has an albino brother (aa), then each parent must have the allele a. In order for someone who is not albino to be able to have an albino child of albinism, they must have type Aa.
b)
P(AA) = 0.5(0.5) = 1/4 CHANCE
P(Aa) = 0.5(0.5) = 1/4 CHANCE
P(aa) = 0.5(0.5) = 1/4 CHANCE
c)
the new probabilities are:
P(AA | not aa) = 1/3
P(Aa | not aa) = 2/3
Step-by-step explanation:
Given the data in the question;
a) Beth’s parents are not albino, but she has an albino brother. This implies that both of Beth’s parts have type Aa. Why?
If Beth’s parents are not albino, but she has an albino brother (aa), then each parent must have the allele a. In order for someone who is not albino to be able to have an albino child of albinism, they must have type Aa.
To be fully albino you must be aa and must also have at least one a as well as have a child with someone who also has has at least a.
b) Which of the type aa, Aa, AA could a child of Beth’s parents have? What is the probability of each type?
A a
A AA Aa
a aA aa
so, Since each type is equally likely, and each is inherited independently of each other then,
P(AA) = 0.5(0.5) = 1/4 CHANCE
P(Aa) = 0.5(0.5) = 1/4 CHANCE
P(aa) = 0.5(0.5) = 1/4 CHANCE
c) Beth is not albino. What are the conditional probabilities for Beth’s possible genetic types, given this fact?
First we rule out aa, since Beth is not an Albino.
the new probabilities are:
P(AA | not aa) = 1/3
P(Aa | not aa) = 2/3
please help me with this!!!!!
Answer:
c
Step-by-step explanation:
it c because i said so. and im right so the answer is C
Answer:
C. 3/8
Step-by-step explanation:
To solve think about how many sections there truly are. The 5 section represents 3 parts, the 2 section represents 2 parts, and the 1, 4, 3 sections represent 3 parts in total. This means overall there are 8 parts to this spinner. Since 5 takes up 3 of these 8 parts, the probability of the pointer landing on 5 is 3/8.
Find the value of x.
39°
22°
x°
Answer:
13
Step-by-step explanation:
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Answer:
The two numbers are 45 and 46.
Step-by-step explanation:
Given: Sum of two numbers=91
To find: Two consecutive numbers which add up to form 91
Solution:
Consecutive numbers are those numbers which have a difference of one between them.
First divide 91 into two halves, we get 45.5
Now we know 45.5+45.5=91
But the numbers should differ by one in order for them to be consecutive.
Hence we subtract 0.5 to get one number and add 0.5 to get the second number from 45.5
So, the two numbers are 45.5–0.5=45
and 45.5+0.5=46
Hence the two numbers are 45 and 46.
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
XD
Answer:
The two numbers are 45 and 46.
Step-by-step explanation:
What percent of 74 is 13.6? Write your answer to the nearest tenth.
Answer:
18.37 is the answer so it should be 18.4
Step-by-step explanation:
Complete the equation of the line whose y-intercept is (0,6) and slope is 3.
y=
Answer:
y=3x+6
Step-by-step explanation:
Answer:
3x+6
Step-by-step explanation:
If it is on Khan you will get it right if you do this answer.
I was wondering if anyone knew how to solve this
Answer:
2
Step-by-step explanation:
18
Drag each label to the correct location on the tree diagram. Each label can be used more than once, but not all labels will be used.
Jolene can take elther of two roads to return home from school, road 1 or road 2. She can choose to walk, bike, or ride her scooter. She must
choose one road and one mode of travel. The sample space is given as a tree diagram. Complete the sample space.
road 1
scooter
walk
bike
walk
bike
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
returning home
road 2
2021 Edme
bike
Answer:
very left box- road 1
top right box- scooter
bottom right box- walk
Step-by-step explanation:
Answer: answer above me is correct
can someone please help me figure out this problem. just figure out what 1,2, and 3
Find the surface area of the figure.
Answer:
152 cm²
Step-by-step explanation:
2x5x3=30
2x6x3=36
5x6=30
2x2.5x6=30
2x6=12
(2+5)/2=3.5x2=7x2=14
30+36+30+30+12+14=152
-2n = -6
thanks for helping
☁️ Answer ☁️
n = 3
Hope it helps.
Have a nice day noona/hyung ￣▽￣
Answer:
n=3
Step-by-step explanation:
-2n=-6
-2n/-2= -6/-2
n=-3
8t=56 plsssssss helppp mee
Answer: t=7
Step-by-step explanation:
1. Isolate x or divide both sides by 8: t=56/8
2. Simplify: t=7
Have a nice day! :D
2X-5<9 solve inequality
Step-by-step explanation:
2x<9+5
2x<14
2x/2<14/2
x<7
Answer:
[tex]\boxed {\boxed {\sf x <7}}[/tex]
Step-by-step explanation:
To solve the inequality you must isolate the variable, which is x.
[tex]2x-5 < 9[/tex]
5 is being subtracted from 2x. The inverse of subtraction is addition, so add 5 to both sides of the equation.
[tex]2x-5+5 < 9+5[/tex]
[tex]2x < 14[/tex]
x is being multiplied by 2. The inverse of multiplication is division, so divide both sides by 2.
[tex]\frac {2x}{2} < \frac {14}{2}[/tex]
[tex]x <7[/tex]
The solution to this inequality is x <7
3y + 2 + 2y + 5 =x + y + 2y – 4 =
Answer:
This is your answer ☺️. If I'm right so,
Please mark me as brainliest. thanks!!!
Evaluate 12.3p+11.9r when p=7 and r=8.
Question Help Suppose that the probability that a randomly selected person who has recently married for the first time will be divorced within 2 years is 0.25, and that the probability that a randomly selected person who has recently married for the second time will be divorced within 2 years is 0.5. Take a random sample of 25 people married for the first time and 25 people married for the second time. The sample is chosen such that no one in the sample is married to anyone else in the sample. Why is the binomial model inappropriate for finding the probability that exactly 4 of the 50 people in the sample will be divorced within 2 years? List all of the binomial conditions that are not met.
Answer:
The trial are not dependent
Step-by-step explanation:
The following four conditions must be met before Binomial probability experiment can be define, they are:
[1]. Each trial is independent, [2]. the trial must have two outcomes that is failure or success, [3]. fixed number of trials and [4]. success probability for each trial is the same.
Thus, the number of ways to choose the positions for success is given in equation (1) below as:
P(x) = n Cₓpˣ [1 - p]ⁿ⁻ˣ. ----------------------------------------------------------------------(1).
Where n-x = failure and 1 - p = probability and x = success.
For this question, three of the conditions mentioned above are met except for condition number one. This is so because the events are dependent. Therefore, the binomial condition that is not met is Each trial is independent.
NB: Why the events are dependent is because if the each husband divorce his wife, then the wife is also divorced.
Divide the given polynomial by the given monomial.
Answer:
Here is the answer. Solved
Which pair of angles are complementary but not adjacent?
1
N
5
3
4
+
0 21 and 25
0 21 and 23
0 24 and 21
0 24 and 25
HURRY PLEASE
Answer: 1 and 3
Step-by-step explanation:
I got it right on edge 2021
Answer:
1 and 3
Step-by-step explanation:
what is the adjective in these sentence the elephant had a long twisty trunk.which of the word is adjective .
Find the missing side. Round your answer to the nearest tenth.
Answer:
x= 23.0 (nearest tenth)
Step-by-step explanation:
Please see the attached picture for the full solution.
HELPPP!! WILL MARK AS BRAINLIEST!!
Answer:
30
Step-by-step explanation:
All angles measure up to 180.
3x+2x+1x=180
6x=180
1x=30
Answer:
L = 90
K = 60
M = 30
Step-by-step explanation:
2x + 3x + x = 180
6x = 180
divide by 6
x = 30
3(30) = 90
2(30) = 60
Hope I helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
Find q. q-89=121 q= please help
Answer: q=210
Step-by-step explanation:
For this question you have to do the inverse to 'undo' the equation.
So, instead of taking away 89 you have to add it to 121.
q=121+89
q=210
Hope this helps :)
Stuffed animals at a toy
store are split among 4
shelves. There are 12
stuffed animals on each
shelf. How many stuffed
animals are at the store?
Answer:
48
Step-by-step explanation:
12 x 4 = 48
Answer:
48
Step-by-step explanation:
If there are 4 shelves with 12 on each you multiply 4 by 12 (4*12) which gives you 48
Elena completed the
hiking trail in 30 minutes. How many calories
did Elena burn?
Answer:
177
Step-by-step explanation:
Please answer, I would be happy :)