Which angles are represented by the same point on the unit circle as pi/4 ?
Answer:
d) [tex]\frac{9\pi }{4}[/tex]
Step-by-step explanation:
[tex]\frac{9\pi }{4} = 2\pi + \frac{\pi }{4}[/tex]
The correct options are a and d because -7pi/4 and 9pi/4 are the required angles.
Important infromation:
The given angle is [tex]\dfrac{\pi}{4}[/tex].Angles:The angles [tex]\theta\pm 2n\pi [/tex] represent the same point on the unit circle as [tex]\theta[/tex].
It means, [tex]\dfrac{\pi}{4}\pm 2n\pi [/tex] represents the same point on the unit circle as [tex]\dfrac{\pi}{4}[/tex].
The required angles are:
[tex]\left\{...,\dfrac{\pi}{4}-4\pi,\dfrac{\pi}{4}-2\pi, \dfrac{\pi}{4},\dfrac{\pi}{4}+2\pi,\dfrac{\pi}{4}+4\pi,...\right\}[/tex]
[tex]\left\{...,-\dfrac{15\pi}{4},-\dfrac{7\pi}{4}, \dfrac{\pi}{4},\dfrac{9\pi}{4},\dfrac{17\pi}{4},...\right\}[/tex]
Therefore, the correct options are a and d.
Find out more about 'Angles' here:
https://brainly.com/question/23475646
What do parallelogram and squares have in common?
Answer: they both have four sides (quadrilateral)
Step-by-step explanation:
Answer:
Quarderlaterals with reflecting (or parrel) sides of the same length.
Step-by-step explanation:
Squares always have 4 equal sides
Parrallegrams always have two sides that are parrel to each other that are the same lenghth.
Which table represents a nonlinear function? pls hurry
Answer:
1st one
Step-by-step explanation:
Linear means straight and when you graph this one it is a straight line
Please help due tonight.
Answer
A
Step-by-step explanation:
i need help with this question! will give thanks :)))
Answer:
2[tex]\sqrt{13}[/tex]
Step-by-step explanation:
Use the distance formula and plug in the values
d=(3−(−3))2+(2−6)2√
d=(6)2+(−4)2√
d=36+16√
d=[tex]\sqrt{52}[/tex]
d= 2[tex]\sqrt{13}[/tex]
????????????????????????????????????
Answer:
answer is 52.5
Step-by-step explanation:
hope it helps
Which best describes her prediction? interpolation, because a key that is 12 keys from middle C is within the data set interpolation, because a key that is 12 keys from middle C is outside the data set extrapolation, because a key that is 12 keys from middle C is within the data set extrapolation, because a key that is 12 keys from middle C is outside the data set
Answer:
Extrapolation, because a key that is 12 keys from middle c is outside the data set.
Step-by-step explanation:
Given
See attachment for the data set
Required
Which option answers the question
From the attached dataset, we can see that 12 is not within the range of the data set.
When one makes predictions about a datum or set of data outside the range of the original dataset, then one is extrapolating.
Hence, (d) is correct
Answer:
d
Step-by-step explanation:
trust me
Can someone help me, please?
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
A, B, and C. Not D.
Step-by-step explanation:
He wants all four colors to have equal share on the quilt which means each color needs to have 4 squares each to make up equal share of the quilt. D is the only one that doesn't follow this rule so it is the only one that is incorrect and would not work as a design.
If you spin the following spinner, what is the probability that you will land on red or green?
Answer:
2/5
Step-by-step explanation:
Solve the equation x2 – 10x – 8= 0 to the nearest tenth.
Answer:
x = -0.8 and 10.8
Step-by-step explanation:
Given the equation x2 – 10x – 8= 0
Using the general formula
x = -b±√b²-4ac/2a
x = -(-10)±√(-10)²-4(1)(-8)/2(1)
x = 10±√100+32/2
x =10±√132/2
x = 10±11.489/2
x = 10-11.489/2 and 10+11.489/2
x = -1.489/2 and 21.489/2
x = -0.8 and 10.8
Simra cuts an 8-carat diamond into smaller pieces. If each piece of diamond is 1/3 carat, how many pieces of diamond does Simra have now?
Answer: 24
Step-by-step explanation:
Given
Simra has an 8-carat diamond
She cuts small pieces of [tex]\frac{1}{3}[/tex] carat
Suppose she cuts x pieces of diamond
[tex]\therefore x=\dfrac{8}{\frac{1}{3}}\\\\\Rightarrow x=8\times 3\\\Rightarrow x=24[/tex]
She has now 24 pieces of diamond.
Write an algebraic equation for the following. Do NOT solve:
7 less than p is 42
Answer:
p - 7 = 42
Step-by-step explanation:
"Less than" might make you think of the < sign, but that's a mistake. The expression 7 < p = 42 makes no sense! In fact, that would say, "7 is less than p and p = 42."
To find 7 less than a number, you subtract 7 from the number. You start with the number, then subtract 7.
p - 7 = 42
Find the radius and area
16.8 cm
Answer:
I think it's 886.7
Step-by-step explanation:
hope this helps sorry if incorrect have a good rest of your day/night :) ❤
Find the volume of the figure below. Leave in terms of PT for answers that contain T Round your answer to the nearest hundredthir
necessary
m
A
4 m
O a
112 m
OD
37.33 m
29,63 m
44,41 m
Answer:
a
Step-by-step explanation:
bc look
find the area of the irregular figure 3 in 3 in 4 in 4 in 6 in 8 in
Answer:
65 in
Step-by-step explanation:
Simplify -8+4(-3)/5
A.) -4
B.) 4
C.) -4/5
If cos A = 1/2, then what is the positive value of cos 1/2 A, in simplest radical form with a rational denominator?
Answer:
[tex]\cos(\frac{1}{2}A) = {\frac{\sqrt{3}}{2}[/tex]
Step-by-step explanation:
Given
[tex]\cos A = \frac{1}{2}[/tex]
Required
Determine [tex]\cos(\frac{1}{2}A)[/tex]
To do this, we make use of the following identity
[tex]\cos(\frac{1}{2}A) = \sqrt{\frac{\cos A+1}{2}}[/tex]
Substitute: [tex]\cos A = \frac{1}{2}[/tex]
[tex]\cos(\frac{1}{2}A) = \sqrt{\frac{\frac{1}{2}+1}{2}}[/tex]
Solve the numerator
[tex]\cos(\frac{1}{2}A) = \sqrt{\frac{\frac{2+1}{2}}{2}}[/tex]
[tex]\cos(\frac{1}{2}A) = \sqrt{\frac{\frac{3}{2}}{2}}[/tex]
Rewrite as:
[tex]\cos(\frac{1}{2}A) = \sqrt{\frac{3}{2} * \frac{1}{2}}[/tex]
[tex]\cos(\frac{1}{2}A) = \sqrt{\frac{3}{4}}[/tex]
Take square roots
[tex]\cos(\frac{1}{2}A) = {\frac{\sqrt{3}}{2}[/tex]
4. Solve 18 (c – 19) = 108. Show your steps
Answer:
c = 25
Step-by-step explanation:
First, you can divide by 18 on both sides:
18 (c - 19) = 108
÷ 18 ÷18
c - 19 = 6
To isolate the variable c, you can add 19 on both sides:
c - 19 = 6
+19 +19
c = 25
Answer:
c= 25
Step-by-step explanation:
108/18 = 6
6 +19 = 25
In a bag of plain M and M's Yellow 20% red 20% orange 10% blue 10% green 10% brown 30%
Three M and M's are chosen give the probabilities
1. none are red
2. The third one is the first one that is yellow.
Answer:
1) P(none are red) = 51.2%
2) P(third one is the first one that is yellow) = 12.8%
Step-by-step explanation:
We are given;
P(Yellow) = 20% = 0.2
P(red) = 20% = 0.2
P(Orange) = 10% = 0.1
P(Blue) = 10% = 0.1
P(green) = 10% = 0.1
P(brown) = 30% = 0.3
1) Probability that one is not red is;
P(one not red) = 1 - P(red)
P(one not red) = 1 - 0.2
P(one not red) = 0.8
Since 3 are selected, we will apply multiplication rule for independent events to get;
P(none are red) = 0.8 × 0.8 × 0.8
P(none are red) = 0.512
P(none are red) = 51.2%
2) To find the probability, that the third one is the first one that is yellow, we will use multiplication rule for independent events to get;
P(third one is the first one that is yellow)
= (1 - P(Yellow)) × (1 - P(Yellow)) × P(Yellow)
P(third one is the first one that is yellow) = (1 - 0.2) × (1 - 0.2) × 0.2
P(third one is the first one that is yellow) = 0.128
P(third one is the first one that is yellow) = 12.8%
The length of an arc of a circle is 6/5 pi feet long and the diameter is 10 feet. What is the measure of the central angle?
Answer:
216 degrees.
Step-by-step explanation:
put it through the formula and set the formula equal to 6/5 pi. then solve.
A triangle contains angles measuring 28oand 37o. How many degrees is the third angle?
What is the length of RU ?
A) 5 cm
B) 10 cm
C) 6 cm
D) 8 cm
Answer:
B) 10 cm
Step-by-step explanation: since DC scaled up to 10 cm and they were both originally 6cm, RU would be 10cm.
Find x if (3⋅5)⁴ ⋅ (2⋅3)⁵ ⋅ (2⋅5)⁷ = 2ˣ ⋅ 3ʸ ⋅ 5ᶻ
Can someone please help me with math.
Answer:
A
Step-by-step explanation:
from age 5 to age 15 the number of hourse watched goes up and so on
Translate algebraic words to symbols.
Half of R subtracted from y cubed
A. 1/2R - y
B. y3 - R/2
C. R/2 - 3y
D. 3/y - R/2
Find the total surface area of the pyramid.
4 in.
6 in.
6 in.
Answer:96
Step-by-step explanation:
Okay first we would find the area of the triangle like we would for a regular square or rectangle right? LXW but we would divide by 2 for each of the triangle and add them up and then we’d do the bottom and this time no dividing by 2 just do LXW HOPES THIS HELPS
A warehouse has a height of 8 2/10 meters, length of 120 meters, and width of 20 3/10 meters. What is the volume of the warehouse?
pls answer fast, best question gets brainliest
Answer:
59×695÷500×56677×6626
Evaluate the following expression for m = 4.
4m + 2
please provide a step by step explanation (:
Answer:
6
Step-by-step explanation:
[tex]\sqrt{4}(4)[/tex] = [tex]\sqrt{16}[/tex]
[tex]\sqrt{16} =4[/tex]
[tex]4 + 2 = 6[/tex]
Answer:
C. 6
Step-by-step explanation:
[tex]\sqrt{4m}+2=\sqrt{4*4}+2=\sqrt{4^{2}} +2=4+2=6[/tex]
Mike saves $42 a week for 7 weeks. During his 8-day vacation, he plans to spend $8.25 each day for snacks. Which expression shows how much money he will have left?
Answer:
($42 × 7) - ($8.25 × 8)
Step-by-step explanation:
Given that
Mike saves $42 a week for 7 weeks
And, his 8 day vacation, he plans to spend $8.25 each day
We need to find out the expression of how much he would have left
So,
Since the amount $42 is for a week
So for 7 weeks, it would be
= $42 × 7
And, he spends $8.25 each day,
And, for 8 days, it would be
= $8.25 × 8
So, the expression is
= ($42 × 7) - ($8.25 × 8)