Answers
[tex]x_{1} = \frac{1+\sqrt{3}}{2}[/tex] or [tex]x_{1} = \frac{1-\sqrt{3}}{2}[/tex]
Related Questions
Find the area of a circle with a diameter of 16.
Either enter an exact answer in terms of piπpi or use 3.14 for piπpi and enter your answer as a decimal.
Answers
Answer:
64π or 200.96
Step-by-step explanation:
The area of a circle is [tex]\pi r^2[/tex]. The radius of the circle is half the diameter, which is 16/2 = 8. The area of the circle is 64π.
Answer:
64π = area
200.96 = area
Step-by-step explanation:
Diameter = radius * 2
16 = 2r
radius = 8
Radius^2 * π = area
8^2 * π = area
64π = area
64*3.14 = area
200.96 = area
Hope this helped!!
Please help me with this question.
Answers
Answer:
12/60 (1/5)
Step-by-step explanation:
9+15+24+12= 60 total
There are 12 purple.
12/60
12 / 12 = 1
60 / 12 = 5
please let me know if my math is correct, which it should be but just to make sure
WILL GIVE BRAINLIEST IN NEXT 30 MINUTES
one side of a rectangle is 7 inches longer than another side. If the longer side of this rectangle decreases by 3 inches, and the shorter side increased by 2 inches, the area of the new rectangle equals the area of the original rectangle. Find the dimensions of the original rectangle.
Answers
Answer:
The length is 15 and the width is 8
Step-by-step explanation:
Use this formula to find what the dimensions are. x is the length of the shorter side while (x+7) is the length of the longer side:
(x+7)(x) = ((x+7)-3)(x+2)
x = 8
(8+7)(8) = ((8+7)-3)(8+2)
15(8) = (15-3)(10)
120 = 12(10)
120 = 120
The length is proved 15 and the width is proved 8.
i have no clue how to do this i need help
Answers
Answer:
x^32
Step-by-step explanation: because its (x^4)^8 you mutiply 4 by 8 so you get 32 and 32 is the new power so it is now x^32.
if the cp of 10 bag is equal to sp of 12 bag find the profit Or loss percent
Answers
Answer:
you gained 20%
Step-by-step explanation:
hope this helps x
what is the third significant figure of 0.134
Answers
Answer:
3
Step-by-step explanation:
What is the volume of a sphere when the diameter is 3 feet
Answers
Answer:
4.5π
Step-by-step explanation:
Sphere Volume formula =4/3πr^3
Radius = Half diameter
4/3 * π * 1.5^3 = approximately 4.5π
Hope this helps :)
Have a nice day!
A truck driver drives 245 miles and needs to drive m miles in all. Write an equation for the number of miles d the driver has left to drive
Answers
Answer:
245 + d = m :)
Step-by-step explanation:
We have how many miles they have already driven, 245. We need to find how many miles until he reaches m :)
Have an amazing day!!
Please rate and mark brainliest!!
Which answer is wrong and what is the correct answer? I will give you BRAINLEST!
Answers
Answer:
Question B is (12,-7)
Step-by-step explanation:
The 2nd question is asking for the preimage. You did what the image would be if (4,-3) was the preimage.
Please help me
I will give
BRAINLY
5 STARS
and a THANKS
Answers
Answer:2 + 0.2n + 8/10. This will be your correct answer.
Step-by-step explanation:
How would i find the IQR?
Answers
Answer:
well to find the interquartile range (IQR), first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.
explanation:
me is smart
Consider this function.
f(x)=2x-2Which graph represents the inverse of function ?
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2
2
3
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3
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-2 +
-2+
-37
-3
Answers
Answer:
the first graph
Step-by-step explanation:
the inverse function is(x+2)/2
therefore,2 points on the graph are
(0,1),(-2,0)
The number a is less than the number b by 1/5 of b. By what part of a is b greater than a?
Answers
Answer:
b is greater than a by 1/4 of a
Step-by-step explanation:
The statement “The number a is less than the number b by 1/5 of b”
means “if we subtract one fifth of b from b itself we get a”
we write this mathematically like this :
[tex]a=b-\frac{b}{5}[/tex]
_________
[tex]\rightarrow a = \frac{5b-b}{5} =\frac{4b}{5}[/tex]
[tex]a=\frac{4b}{5} \Longrightarrow 5a=4b[/tex]
[tex]5a=4b\Longrightarrow b=\frac{5a}{4}[/tex]
[tex]\Longrightarrow b=\frac{5a}{4} =\frac{4a+a}{4}=\frac{4a}{4}+\frac{a}{4}=a+\frac{a}{4}[/tex]
Answer:
0.25
Step-by-step explanation:
answer this attachment for 21 points and brainliest
Answers
Answer:
60
Step-by-step explanation:
Just by using process of elimination, we can delete all but 1 answer. 95% is greater than 50% and half of the first second and fourth answers are all greater than 57
Use the function below to find F(3).
F(x) = 3x
O A. 27
OB. 81
O C. 9
OD. 6
Answer: 27
Answers
Answer:
C
Step-by-step explanation:
If the function equation is F(x)=3x. You just plug in the 3 from F(3) in for the x.
F(x)= 3x
↓
F(3)=3(3)
F(3)=9
If you invest $200 at an interest rate of 10%, how much money will you have after three years?
Answers
If it’s an annual interest rate (yearly interest rate), then you would have $266.20
1st year: $200 x 1.10 = $220
2nd year: $220 x 1.10 = $242
3rd year: $242 x 1.10 = $266.20
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS
Answers
Answer:
C: 8/15
A: 4/25
Step-by-step explanation:
put it into a fraction, four times out of 25 = 4/25, for the first question you would have to simplify it to 8/15.
The radius of a circle is 2.9 in. What is the circumference to the nearest tent to the nearest tenth?
Answers
Answer:
18.2
Step-by-step explanation:
Mariana gave the cashier $20 to pay for 3 t-shirts. The cashier gave her $5. 03 in change. Each t-shirt cost the same amount. What was the cost in dollars and cents for each t-shirt?
Answers
20- 5.03 = 14.97
divide that by 3
14.97 divided by 3 = 4.99
Amy is standing 70 meters from the base of the Washington Monument in Washington, DC. She estimates that the angle of
elevation to the top of the building is 60°. One of her friends is at the top of the building. What is the distance between Amy and
her friend? (Assume the monument meets the ground at a right angle.)
Answers
Answer:
140m
Step-by-step explanation:
use the forMula SOHCAHTOA cos x=adjacent/hypotenuse. cos 60=70/hypotenuse. hyp=70/cos 60. =140m away
Solve the following please:
Answers
Answer:21
Step-by-step explanation: solve whats in the numerator then solve whats in the denominator then you divide
Camilo uses 32 ounces of filling to make empanadas de quest. He puts 0 empanadas on each of the 3 trays. write a fraction to show how many ounces of filling Camilo uses in each empanadas
Answers
The division is one of the four fundamental arithmetic operations. The filling that Camilo uses in each tray is 10.667 ounces.
What is Division?Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
The total filling that was available with Camilo is 32 ounces, which he put in three different trays equally. Therefore, the filling available in each tray is equal to,
[tex]\rm \text{Filling in each tray} = \dfrac{\text{Total Filling}}{\text{Number of tray}}\\\\\text{Filling in each tray} = \dfrac{32\ ounces}{3} = 10.667 ounces[/tex]
Hence, the filling that Camilo uses in each tray is 10.667 ounces.
Learn more about Division:
https://brainly.com/question/369266
#SPJ1
Answer: 4/3
Step-by-step explanation:
8 x 3 = 24
32/24
= 4/3
[please answer asap!! :) limited amount of time and will give brainliest or whatever it’s called!!]
The length of each side of an equilateral triangle is increased by 5 inches, so the perimeter is now 60 inches. Write and solve an equation to find the original length of each side of the equilateral triangle.
Answers
60 = 3a
60/3 = a
20 = a
Each side is currently 20
Then you subtract 5 to get your original length
a = 20 - 5
a = 15
The original length of each side of the equilateral triangle is 15.
solve for the missing side. round to the nearest 10th.
Answers
Answer :
6.7 mm[tex] \: [/tex]
Explanation :
This is Right Angled Trian1gle.[tex] \: [/tex]
Solution :
We'll solve this using the Pythagorean Theorem.[tex] \: [/tex]
Where,
VW (9 mm) is the Hypotenuse.UV (6 mm) is the Base.UW is the Perpendicular .[tex] \: [/tex]
We know that,
[tex]{\longrightarrow \pmb{\mathbb {\qquad (UV) {}^{2} + (UW) {}^{2} =( VW) {}^{2} }}} \\ \\ [/tex]
Now, we will substitute the given values in the formula :
[tex]{\longrightarrow \pmb{\sf {\qquad (6) {}^{2} + (UW) {}^{2} =( 9) {}^{2} }}} \\ \\ [/tex]
We know that, (6)² = 36 and (9)² = 81. So,
[tex]{\longrightarrow \pmb{\sf {\qquad 36 + (UW) {}^{2} =81}}} \\ \\ [/tex]
Now, transposing 36 to the other side we get :
[tex]{\longrightarrow \pmb{\sf {\qquad (UW) {}^{2} =81 - 36 }}} \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad (UW) {}^{2} = 45}}} \\ \\ [/tex]
Now, we'll take the square root of both sides to remove the square from UW :
[tex]{\longrightarrow \pmb{\sf {\qquad \sqrt{(UW) {}^{2}} = \sqrt{ 45}}}} \\ \\ [/tex]
When we take the square root of (UW)² , it becomes UW,
[tex]{\longrightarrow \pmb{\sf {\qquad UW = \sqrt{45}}}} \\ \\ [/tex]
We know that, square root of 45 is 6.708.
[tex]{\longrightarrow \pmb{\sf {\qquad UW \approx6.708}}} \\ \\ [/tex]
So,
The measure of the missing side (UW) is 6.7 mm (Rounded to nearest tenth)i need help asap worth 100pts
Answers
Answer:
Part (a)
It depends how your calculator calculates quadratic regressions.
For my calculator:
Go to Statistics menuSelect quadratic regression: y=a+bx+cx²Input the x and y values from the given tableGo to options and select regression calca = 1.177142857 = 1.18 (nearest hundredth)
b = 42.22257143 = 42.22 (nearest hundredth)
c = -12.87142857 = -12.87 (nearest hundredth)
⇒ y = 1.18 + 42.22x - 12.87x²
Therefore, the quadratic regression equation in standard form is:
[tex]y = -12.87x^2+ 42.22x + 1.18[/tex]
Part (b)
To estimate the height of the rocket after 5 seconds, input x = 5 into the regression equation:
[tex]\implies -12.87(5)^2+ 42.22(5) + 1.18=-109.47[/tex]
As this gives us a negative value, this means that the rocket would have come back to the ground before 5 s. Therefore, the height of the rocket at 5 s will be 0 ft.
(see attached graph → the rocket will hit the ground at approx 3.3 s)
HELP! WILL GIVE BRAINLEST!
Answers
Answer:
last option
Step-by-step explanation:
7pi/6,11pi/6
Answer:
D
Step-by-step explanation:
the answer is D
this is essentially sin theta = -1/2 which I already solved for you a few mins ago :)
In order to study the amounts owed to a particular city, a city clerk takes a random sample of 16
files from a cabinet containing a large number of delinquent accounts and finds the average amount
rowed to the city to be $230 with a sample standard deviation of $36. It has been claimed that the
true mean amount owed on accounts of this type is greater than $250. If it is appropriate to assume
that the amount owed is a Normally distributed random variable, the value of the test statistic
appropriate for testing the claim is
(a) -3. 33 (b) - 1. 96
(c) - 2. 22
(d) -0. 55
(e) - 2. 1314
Answers
Using the t-distribution, it is found that the value of the test statistic is given by:
(c) -2. 22
What are the hypotheses tested?At the null hypotheses, it is tested if the mean is not greater than 250, that is:
[tex]H_0: \mu \leq 250[/tex]
At the alternative hypotheses, it is tested if it is greater, that is:
[tex]H_1: \mu > 250[/tex]
What is the test statistic?It is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.In this problem, the values of the parameters are:
[tex]\overline{x} = 230, \mu = 250, s = 36, n = 16[/tex].
Hence, the test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{230 - 250}{\frac{36}{\sqrt{16}}}[/tex]
t = -2.22.
Which means that option C is correct.
More can be learned about the t-distribution at https://brainly.com/question/26454209
What is the slope of the line that passes through the points (7, -6) and (6, -6)? Write your answer in simplest form.
Answers
Undefined
Solution:Notice that the x-coordinates of the points that the line intersects are the same.If the x-coordinates are the same, then the slope is undefined.If the slope is undefined, then the line's run is equal to 0 units.Remember the slope formula: Rise/RunRise - how many units we move up or downRun - how many units we move left or rightIf the run is zero, then we basically divide by zero, which we can't do.Hope it helps.
Do comment if you have any query.
46/154 to a percentage
Answers
Answer:
29.87%
Step-by-step explanation:
46/154 = 0.2987013
29.87 (move the decimal 2 places to the right. :)
Hope this helped!
Find the area 7cm. 20cm. 11cm. 14cm. ( will mark brainlest)
Answers
Answer:
217
Step-by-step explanation:
we split the shape into 2 different rectangles and find the sum of their area.
small rectangle: 7 × 11 = 77
large rectangle 7 × 20 = 140
140 + 77 = 217
Answer:
[tex]A_{total} = 217\ cm^2[/tex]
Step-by-step explanation:
Step 1: Determine the area of the bottom rectangle
[tex]A = l * w[/tex]
[tex]A = 14\ cm * 11\ cm[/tex]
[tex]A = 154\ cm^2[/tex]
Step 2: Determine the area of the top rectangle
[tex]A = l * w[/tex]
[tex]A = 7\ cm * (20\ cm - 11\ cm)[/tex]
[tex]A = 7\ cm * 9\ cm[/tex]
[tex]A = 63\ cm^2[/tex]
Step 3: Determine the total area
[tex]A_{total} = 154\ cm^2 + 63\ cm^2[/tex]
[tex]A_{total} = 217\ cm^2[/tex]
Answer: [tex]A_{total} = 217\ cm^2[/tex]