Answer:
θ = [tex]\frac{\pi}{4}[/tex]
θ = [tex]\frac{7\pi}{4}[/tex]
Step-by-step explanation:
2cosθ - √2 = 0
First, add √ 2 to both sides
2cosθ - √2 = 0
+√2 +√2
2cosθ = √2
Divide both sides by 2
2cosθ/2 = √2 / 2
cosθ = [tex]\frac{2}{\sqrt{2}}[/tex]
Use arccos to find θ
arccos([tex]\frac{2}{\sqrt{2}}[/tex]) = [tex]\frac{\pi}{4}[/tex] and [tex]\frac{7\pi}{4}[/tex] = θ
Solve for x.
–5(–2x – 5) – 2 – 1= -12
Answer:
x=-17/5
Step-by-step explanation:
–5(–2x – 5) – 2 – 1= -12
+10x+25-2-1=-12
10x+22=-12
10x=-12-22
10x=-34
x=-34/10
x=-17/5
Step-by-step explanation:
Open the brackets
10x +25 -2 - 1= -12
Collect the like terms
10x = -12-25+2+1
10x = -34
Divide both sides by 10
Therefore,x = -34/10 = -3.4
Hello Pls help and thanks
Answer:
c.) in the correct answer
PLEASE HELP
-1/2m=-9
Show your work in details if you can, I have a hard time understanding this.
Answer:
m=18
Step-by-step explanation:
-1/2m=-9
-m=-18
m=18
[tex] \begin{cases} \\ \\ \large\bf{\green{ \implies}} \tt \: - \: \frac{1}{2} \: m \: = \: - 9 \\ \\ \large\bf{\green{ \implies}} \tt \: - \frac{1 \: m}{2} \: = \: - 9 \\ \\ \large\bf{\green{ \implies}} \tt \: - 1m \: = \: - 9 \: \times \: 2 \\ \\ \large\bf{\green{ \implies}} \tt \: - 1m \: = \: - 18 \\ \\ \large\bf{\green{ \implies}} \tt \: m \: = \: \frac{ \cancel- 18}{ \cancel - 1} \\ \\ \large\bf{\green{ \implies}} \tt \: m \: = \: \frac{18}{1} \\ \\ \large\bf{\green{ \implies}} \tt \: m = \: 18 \: \\ \\ \end{cases}[/tex]
Help meee I’ll give 10 pts and brainliest!!!
Step-by-step explanation:
i) [tex]\overline{AB} = \sqrt{(x_A - x_B)^2 + (y_A - y_B)^2}[/tex]
[tex]\:\:\:\:\:\:\:=\sqrt{(2)^2 + (12)^2} = 12.3[/tex]
ii) [tex]m = \dfrac{y_A - y_B}{x_A - x_B} = \dfrac{-12}{2} = -6[/tex]
iii) [tex](\overline{x},\:\overline{y}) = \left(\dfrac{x_A + x_B}{2},\:\dfrac{y_A + y_B}{2}\right)[/tex]
[tex]\:\:\:\:\:\:\:=(3,\:-2)[/tex]
Which of the following theorems verifies that angle DEF ~ angle XZY?
Step-by-step explanation: In this problem, notice that we're only given one pair of congruent angles, the 90 angles, but remember that the sum of the measures of the angles of a triangle is 180°.
So we can determine that the measure of the missing angle
of our first triangle is 40° because 90 + 50 + 40 = 180.
Now we have two pairs of congruent angles,
the 40° angles, and the 90° angles.
Therefore, since two of the angles of one triangle are congruent to
two of the angles of the other triangle, we can say that yes, the
triangles are similar by the Angle-Angle Similarity Postulate (AA~).
Choose all the numbers that are multiples of 2.
A 18
B. 21
C. 34
D. 45
E 50
F. 67
G. 83
Answer:
18 , 34and 50 are multiples of 2
Step-by-step explanation:
2×9=18
17×2=34
25×2=50
Answer:
A,C,E
Step-by-step explanation:
A,9×2=18
C,17×2=34
E,25×2=50
Calculate a high estimate for each. Show your work?81×37
Step-by-step explanation:
2997
81
×
37
=2997
it just a simple calculation just multiply the numbers
Mr. Lock bought 6 quarts of oil for his car. He spent $16.02. How much was each quart of oil?
Answer:
2.67
Step-by-step explanation:
To solve this problem do 16.02 / 6.
I hope this answer helps you out! Brainliest woudl be appreciated.Is 9/16 closest to 0, 1/2, 1, or 9
Answer:
1/2
Step-by-step explanation:
9/16 is equal to 0.5625 . The closest number to this is 0.5 which is the same as 1/2
Use a calculator to find
the mean of the data.
{217, 253, 214, 247,
217, 253, 232, 246,
223, 227, 229, 247,
206, 241, 239, 223,
222, 216, 252, 209,
236, 256}
A. 230.811
B. 231.045
C. 232.045
D. 232.811
Answer:
232.045
Step-by-step explanation:
217 + 253 + 214 + 247 + 217 + 253 + 232 + 246 + 223 + 227 + 229 + 247 + 206 + 241 + 239 + 223 + 222 + 216 + 252 + 209 + 236 + 256 = 5105
5105 / 22 = 232.045454545
if i pay 15300 interest capital on a loan for 25 years how much will i pay?
Answer:
i dont know soory
Step-by-step explanation:
Elena drank 3 liters of water yesterday. Jada drank 3/4 times as much water as elena. Link drank twice as much as Jada. Did jada drink more or less then elena? Explain how you know
Answer:
Step-by-step explanation:
3\4 bc on a nuberline it would be 3 3\4
I--I----(etc)
so yeah hope i helped
What is the domain of the function in the graph?
Answer:
7≤r≤12
Step-by-step explanation:
The domain is the values that the input takes
The input goes from 7 to 12
7≤r≤12
Answer: Choice B) [tex]7 \le r \le 12[/tex]
=============================================================
Explanation:
The domain is the set of allowed x inputs of a function.
How far to the left can we go on this red line? That would be x = 7.
How far to the right? That would be x = 12.
We can have x equal anything between 7 and 12, including both endpoints. We include the endpoints because they are filled in circles (as opposed to open holes).
So the domain is [tex]7 \le x \le 12[/tex]. If we replace x with r, then we update that inequality into [tex]7 \le r \le 12[/tex]. This replacement happens because r is along the horizontal x axis.
Given: AABC, AC = 5
m C = 90°
m A= 22°
Find: Perimeter of AABC
A
C
B
9514 1404 393
Answer:
perimeter ≈ 12.4 units
Step-by-step explanation:
The side adjacent to the angle is given. The relationships useful for the other two sides are ...
Tan = Opposite/Adjacent
Cos = Adjacent/Hypotenuse
From these, we have ...
opposite = 5·tan(22°) ≈ 2.02
hypotenuse = 5/cos(22°) ≈ 5.39
Then the perimeter is ...
P = a + b + c = 2.02 + 5 + 5.39 = 12.41
The perimeter of ∆ABC is about 12.4 units.
x^2+ 8x+ How to make it a perfect square
Hey there! I'm happy to help!
A perfect square means that this equation is the product of two identical binomials (this is a quadratic due to the x^2, so it is made up of two binomials) so for example (x+2)(x+2) would be x^2+4x+4 which is a perfect square as you can square root x^2+4x+4 and (x+2) and not some other crazy thing.
So, we have most of the final quadratic but we need the one constant number on the end. How are we going to find it?
If you are familiar with quadratics, you probably know that adding the two numbers in the binomials gives you b and multiplying them gives you c with a quadratic ax^2+bx+c because of the foil method (if you don't know what that it is, just comment on the answer and I can explain it to you). Basically what that tells us is that our binomial numbers are going to add up to be eight (and we also know that they must be the same number as we want a perfect square). We know that 4+4 is equal to eight, so that means that our binomial pair will look like this:
(x+4)(x+4)
And we also know that multiplying them gives you c, so 4×4=16 and there is our c. We just throw it on at the end of the equation.
x^2+ 8x+16
If you have any more questions, feel free to ask me. Have a great day! :D
given the circle find the arc measure
9514 1404 393
Answer:
87°
Step-by-step explanation:
Call the circle center point X. The measure of arc FG is the measure of central angle FXG, which is the supplement of central angle GXH.
arc FG = 180° -93° = 87°
A square pyramid with a base edge of 1 cm and pyramid height of 2 cm has a volume of 2/3 cm3.
.True
.False
Answer: True
Step-by-step explanation:
volume of a square pyramid = (1/3) · b² · h
b = base edge = 1 cmh = height = 2 cmTherefore, the volume would become:
[tex]\frac{1}{3}*1^{2}*2= \frac{1}{3}*1*2=\frac{1}{3}*2=\frac{2}{3}[/tex]
Answer:
Step-by-step explanation:
False
find the side of a cube whose surface area is 150² m
Answer:
6 m
Step-by-step explanation:
[tex]surface \: \: area = 4 {s}^{2} [/tex]
s is side
[tex]150 = 4 {s}^{2} \\ {s}^{2} = 37.5 \\ s = 6.1 \: m[/tex]
FIND THE AREA OF THE SHAPE BELOW
PLEASE HELP I HAVE BEEN STUCK ON THIS FOREVERRRR!!
THANK YOU
Answer:
Is answer 22 units sqaure ?
Nick needs one more class to complete his schedule. There are 5 writing classes, 3 history classes, and 4 mathematics classes that can fit into his schedule. If Nick chooses a class at random, what is the probability that he chooses a history class? Give your answer as a fraction.
Answer:
1/4
Step-by-step explanation:
Probability = 3/(5+3+4)
= 3/12 or 1/4
what song goes whoooooo Iiiiii smoooooooooke
Answer:
Lol yu lateee das "who i smoke by yung ace"
Step-by-step explanation:
Answer:
woogle said woo hoo by rock a teens
Step-by-step explanation:
complete the table below?
ABC = $425
Load = 0
Total Cost = $425
Sales Price = $850
Sales price ÷ total cost = 850/425
= 2%
DEF = $600
Load = $375
Total Cost = $975
Sales Price = $1200
Sales Price ÷ Total cost = 1200/975
= 1% (Nearest 1%)
Must click thanks and mark brainliest
Below are the data collected from two random samples of 500 American adults on the number of hours they spend doing leisure and sports activities per
day (rounded to the nearest hour)
Number of hours spent doing leisure and sports activities per day
Sample A: Number of adults
70 90 135 140 65
Sample B: Number of adults
80 80 130 135 75
Dan concludes that adults spend a mean of 3 hours each day doing leisure and sports activities. Bret thinks the mean is 4 hours. Who is correct-Dan or Bret?
Explain your answer in two or three sentences. Make sure to use facts to support your answer.
Dan is Correct by concluding that adults spend a mean of 3 hours each day doing leisure and sports activities. because [tex]3.08[/tex] hours or [tex]3.09[/tex] hours which are the mean time of sample A and B is approximately equal to 3 hours
From the question we are told that:
Total Sample size [tex]n=500[/tex]
Dan's mean [tex]\=x_D= 3hr[/tex]
Bret's mean [tex]\=x_D= 4hr[/tex]
Generally, the Total hours spent doing leisure and sports activities is mathematically given by
For Sample A
[tex]T_a=(1*70)+(2*90)+(3*135)+(4*140)+(5*65)\\\\[/tex]
[tex]T_a=1540 hours[/tex]
For Sample B
[tex]T_b=(1*80)+(2*80)+(3*130)+(4*135)+(5*75)[/tex]
[tex]T_b=1545[/tex]
Therefore
Mean Time spent doing leisure and sports activities by an American Adult
For Sample A
[tex]T_A=\frac{T_a}{n}[/tex]
[tex]T_A=\frac{1540}{500}[/tex]
[tex]T_A=3.08[/tex] hours
[tex]T_A \approx 3[/tex] hours
For Sample B
[tex]T_A'=\frac{T_b}{n}[/tex]
[tex]T_A'=\frac{1545}{500}[/tex]
[tex]T_A'=3.09[/tex] hours
[tex]T_A' \approx 3[/tex] hours
In conclusion
Dan is Correct because [tex]3.08[/tex] or [tex]3.09[/tex] which are the mean time of sample A and B is approximately equal to [tex]3[/tex]
Learn More about this at
https://brainly.com/question/14355235
Rearrange the formula v= u + at to make a the subject
Answer:
a= - u+v÷t
Step-by-step explanation:
v=u+at
Step 1: Flip the equation.
at+u=v
Step 2: Add -u to both sides.
at+u+−u=v+−u
at=−u+v
Step 3: Divide both sides by t.
at÷t=−u+v÷t
a=−u+v÷t
v = u + at
Now lets rearrange with ' a ' as subject
v = u + at
v - u = at
a = (v - u)/t
Must click thanks and mark me brainliest
Ahmed bought a TV for his room in 2016 for AED 1,500. he decided to sell it in 2020 for AED 900. what is the rate of depreciation when he bought the TV and when he sold it
Answer:
40% depreciation over the 4 years
10% depreciation per year
Step-by-step explanation:
The number of years between buying and selling is:
2020 - 2016 = 4
4 years
The amount of depreciation in the 4 years is:
AED 1,500 - AED 900 = AED 600
The percent depreciation for the 4 years is:
(1500 - 900)/1500 * 100% = 40%
The percent depreciation per year is:
40%/4 = 10%
Find the surface area of this triangular prism.
Answer:
96
Step-by-step explanation:
Surface area=2*Area of triangle+Area of different rectangular strips
Surface area=2*(1/2)*(48)+2*8+2*6+2*10=48+48=96
Given that (-7,3) is on the graph of f(x), find the
corresponding point for the function
f(x) +5.
Enter the correct answer.
OOH
DONE
Clear all
?
Determine the intervals on which the function is increasing, decreasing, and constant.
A. Increasing x>0; Decreasing x<0
B. Decreasing on all real numbers
C. Increasing on all real numbers
D. Increasing x<0; Decreasing x>0
Answer:
Option A, increasing x>0; decreasing x<0
The scores of a high school entrance exam are approximately normally distributed with a given mean Mu = 82.4 and standard deviation Sigma = 3.3. What percentage of the scores are between 75.8 and 89?
Notice that
75.8 = 82.4 - 6.6 = 82.4 - 2 × 3.3
89 = 82.4 + 6.6 = 82.4 + 2 × 3.3
Then the percentage of students with scores between 75.8 and 89 make up the part of the distribution that lies within 2 standard deviations of the mean. The empirical (68-95-99.7) rule says that approximately 95% of any distribution lies within this range.
Answer:
b
Step-by-step explanation:
An Image point after a 180° rotation Is Z(3, 7). What were the coordinates of the pre-Image point?
Z-3-7)
2173)
27-3)
21-7-3)
Answer:
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