Answer:
[tex]25\sqrt{3}=43.3\ \mathrm{units}[/tex]
Step-by-step explanation:
Area of a triangle = [tex]\frac{1}{2}ab\textrm{sin}(\theta)[/tex] where [tex]a[/tex] and [tex]b[/tex] are the sides of the triangle and [tex]\theta[/tex] is the angle between those two sides.
The side length are 10, and since its an equilateral triangle, the angle is 60 degrees. Thus, the area becomes [tex]\frac{1}{2}(10)(10)\textrm{sin}(60)=25\sqrt{3}=43.3\ \mathrm{units}[/tex]
The radius of a sector is 1 m
a. Find the area of a 1° sector of the circle.
b. What is the area of the circle containing the sector?
c. If 360 of the 1° sectors of the circle are placed side by side to approximate a parallelogram, what is the approximate area of the parallelogram?
d. What is the difference of the areas in parts (b) and (c) as a percentage of the entire circle?
Stella was out at a restaurant for dinner when the bill came. Her dinner came to $10. She wanted to leave a 25% tip. How much was her meal plus the tip, before tax, in dollars and cents?
Answer:
12.50
Step-by-step explanation:
,........................................................................................l
71 is 10% of what number?
52 is 97% of what Number?
Explain steps.
Answer:
71 is 10% of 710
52 is 97% of 5200/97
Step-by-step explanation:
Let’s start with 71 is 10% of what number.
basically, what this is saying, is that 71 = 10% times and unknown valu. We can set this as x.
so, 71=0.1x
divide on both sides,
710=x
now the second one.
repeat the same process.
52=0.97x
divide
5200/97 =x
Can somebody please help me with this question?
To find how many degrees a polygon's angles add up to, use the formula (n - 2) · 180, where n = the number of angles. So, since this polygon has 5 angles (it's a pentagon)
(5-2) · 180 = 3 · 180 = 540.
Now, all we have to do is add up all of the angles:
75 + 126 + 126 + 81 + c = 540
c = 132
John invests $15,000 in a savings account that pays 2.5% simple interest. If John makes no
withdrawals or deposits into the account, how much will be in the account after 9 years?
Answer:
18,375
Step-by-step explanation:
PLEASE ANSWER ASAP DUE IN 2 MIN WILL GIVE BRAINLEST!!!!!!!!!!!!!!!!
PLEASE ONLY ANSWER PART B
Answer:
because cfd eaquls a+b lllllllllll
Answer:
Step-by-step explanation:
IT is either the same as 7x+4 because it is infront of each other or you add 8x+6 and 6x+2 then you substract that from 180 to find out the remaining angle. Of course you have to subtitute the amount of x first.
6. cory gets paid every two weeks. he works 40 hours per week at $7.75 per hour. cory has the following deductions: 8% for medical insurance, 12% for federal and state taxes, and 10% for retirement. cory's net pay will be $________.
Answer:
$434
Step-by-step explanation:
Gross Pay
$7.75 per hour40 hours per weekPay received every 2 weeks⇒ Total gross pay = 7.75 × 40 × 2 = $620
Deductions
Medical insurance = 8%Taxes = 12%Retirement = 10%⇒ Total deductions = 8% + 12% + 10% = 30%
Net Pay
Net Pay = Total Gross Pay - Total deductions
= $620 - (30% of $620)
= $620 - (0.3 × $620)
= $620 - $186
= $434
Therefore, Cory's net pay will be $434.
help me with this please and if you can do a step by step it would help
Answer:
Angle 6x and Angle 5x + 10 are corresponding angle pair,
they are equal
6x = 5x + 106x - 5x = 10x = 10so each angle = 6 × 10 = 60°
C(4,4)
D(-8,0
B(6, -2)
A(-6, -6)
Answer:
I don't know how to do it the subject
Q: Find six rational numbers between 3 and 4 .
Answer:
Six rational numbers between 3 and 4 are 3.1, 3.2, 3.3, 3.4, 3.5 and 3.6.
Answer:
six rational numbers between 3 and 4 are 227 , 237 , 247 , 257 , 267 , 277
Two of the angles in a triangle measure 90 degrees and 7 degrees what is the measure of the third angle
Answer:
The third angle would be 83 degrees.
Step-by-step explanation:
Seeing that every triangle's angles will always add up to 180 degrees, we would do the following:
180-90=90
90-7=83 degrees.
What is the solution set for this inequality?
-8x + 32 -16
x < 6
x > 6
x > -2
x < -2
Answer:
x>-2
Step-by-step explanation:
-8x+32-16<0
-8x<16
divide both sides by -8
x>-2
that's because when you divide by a negative your inequality sign changes
a hardware factory produces 3.6 •10^5 bolts in 2400 minutes. what is the factory rate of production in bolts per minute
3. P343. 13. A sociologist is interested in surveying workers in computer-related jobs to estimate the proportion of such workers who has changed jobs within the past years. (a) In the absence of preliminary data, how large a sample must be taken to ensure that a 95% confidence interval will specify the proportion to within ±0.05? (b) In a sample of 100 workers, 20 of them had changed jobs within the past year. Find a 95% confidence interval for the proportion of workers who have changed jobs within the past year. (c) Based on the data in part (b), estimate the sample size needed so that the 95% confidence interval will specify the proportion to within ±0.05.
Answer:
a) A sample of 385 must be taken.
b) The 95% confidence interval for the proportion of workers who have changed jobs within the past year is (0.1216, 0.2784).
c) A sample of 246 is needed.
Step-by-step explanation:
Question a:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
Absence of preliminary data:
This means that we use [tex]\pi = 0.5[/tex], which is when the largest sample will be needed.
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
How large a sample must be taken to ensure that a 95% confidence interval will specify the proportion to within ±0.05?
A sample of n must be taken.
n is found when [tex]M = 0.05[/tex]. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.05 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.05\sqrt{n} = 1.96*0.5[/tex]
Dividing both sides by 0.05
[tex]\sqrt{n} = 1.96*10[/tex]
[tex](\sqrt{n})^2 = (19.6)^2[/tex]
[tex]n = 384.16[/tex]
Rounding up,
A sample of 385 must be taken.
Question b:
In a sample of 100 workers, 20 of them had changed jobs within the past year.
This means that [tex]n = 100, \pi = \frac{20}{100} = 0.2[/tex]
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 - 1.96\sqrt{\frac{0.2*0.8}{100}} = 0.1216[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2 + 1.96\sqrt{\frac{0.2*0.8}{100}} = 0.2784[/tex]
The 95% confidence interval for the proportion of workers who have changed jobs within the past year is (0.1216, 0.2784).
Question c:
Same procedure as question a, just with [tex]\pi = 0.2[/tex]
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.05 = 1.96\sqrt{\frac{0.2*0.8}{n}}[/tex]
[tex]0.05\sqrt{n} = 1.96\sqrt{0.2*0.8}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.2*0.8}}{0.05}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.2*0.8}}{0.05})^2[/tex]
[tex]n = 245.8[/tex]
Rounding up
A sample of 246 is needed.
Can someone please help me out pleaseeeee !!!!!
Answer:
Step-by-step explanation:
0: -2
1: -4
2: -6
An artist uses 18 colors on an art palette to paint a picture. This is 72% of all the colors on the palette. How many colors are on the artist’s palette?
Answer:
25
Step-by-step explanation:
C2>a2+b2 is it a obtuse right or acute
Answer:
obtuse
Step-by-step explanation:
When c, the hypotenuse, is greater than the legs (a and b), it's an obtuse triangle
The population of a city decreases by 4% per year. If this year's population is 171,000, what will next year's population be, to the nearest individual?
Please help me please hurry
Answer
899
Step-by-step explanation:
99
c. Translate the follom
4.) 51 - (x+5)
5.) 3(7-8)
Step-by-step explanation:
1. 51-x-5
= 46-x Answer
2. 21-24
= -3 Answer
Answer right and you get brainliest
What is the area
Please I need help. The Median of a data set is 100. Which statement about the data set must be true?
A. The data set has an average of 100
B. Half the data values are greater than 100.
C. The minimum value is 80 and the maximum value is 120
D. Only one of the data points in the data set has a value of 100
Answer:The mean, or average, has the property that distances from the mean to the individual ... The measure of center where half the values of the data set lie above this ... The maximum value of a data set is 200 and the minimum value is 80. ... 25 b. 24 c. 100 d. 5 e. 120. e. 120. A factorial is the product of all number from 1 to n.
Step-by-step explanation:
Answer:
B. Half the data values are greater than 100.
Step-by-step explanation:
The median is just another way to say the number in the middle. So if in the whole group of numbers 100 is in the middle, that means that half of the numbers will be bigger than 100, and half of the numbers will be smaller than 100.
The perimeter of a rectangle is 56mm. Three of the sides have a length of 15mm, 13mm, and 15mm. What is the side length?
Which expression represents the distance between the two numbers on the
number line?
a. -1 + 2.5
b. -1 -2.5
c. 12.5 - (-1)
d. 12.5 -11
Answer:
B.
Step-by-step explanation:
........................
Which of the fractions is equivalent to 2/5?
Answer:
4/10, 6/15, 8/20, 10/25
Step-by-step explanation:
Name the marked angle in 2 different ways.
V
U
S
T
Answer:
VUS, UST
Step-by-step explanation:
How many people ordered beer?
*it is not 15
Answer:
18 people ordered beer.
Step-by-step explanation:
15 + 3 = 18 people
Answer:
18
Step-by-step explanation:
Add the 15 as well as the three people who purchased both wine and beer. The total for beer purchases would be 18.
i'll give brainliest
reflect (-4,4) in the x-axis
Answer:
(-4,-4)
Step-by-step explanation:
Anytime you reflect a coordinate point across the x-axis, the y-coordinate becomes its opposite and the x-coordinate stays the same.
In this coordinate: (-4,4)
Reflecting (-4,4) across the x-axis means the x-coordinate (-4) would stay the same and the y-coordinate (4) would become its opposite (-4).
The new coordinates after being reflected across the x-axis are (-4,-4).
The area of a circle is 4 square centimeters. What is the circumference?