Answer:
This is an isosceles triangle, meaning it has 2 congruent angles and one other angle.
Looking at this triangle, we know that ∠B = ∠C.
∠B = 57 degrees
All the angles in a triangle add up to 180, so you need to subtract the two values from 180 to get ∠A.
∠A = 180 - 57 - 57
= 66 degrees
Hope this helps!
A donor decides to grant to the students of a college an annual scholarship of Rs. 6,000 for a period of 10 years. What should he deposit in the bank with compound interest at 12% p.a., so that the sum may be sufficient to grant a scholarship? Assume that the scholarship is payable to the students at the end of the year.
Answer:
14200
Step-by-step explanation:
The formula of amount be , A = P + SI = P + {(P × R × T)/100} = 14200
What is the Si formula?
Simple interest exists estimated with the following formula:
S.I. = (P × R × T)/100,
where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually computed as the number of years.
The rate of interest is in percentage r% and exists to be noted as r/100.
Given: P = 6000, T = 10 and R = 12
S.I. = (P × R × T)/100
[tex]$SI = (6000*12*10)/100[/tex]
SI = 7200
A = P + SI
A = 6000 + 7200
A = 14200
Therefore, the amount = 14200.
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The figure shows two parallel lines cut by a transversal. what is the measure in degrees of angle ABC?
Answer:
70
Step-by-step explanation:
2x and (4x-70) have the same measurements.
Set your formula up as
2x = 4x-70
2x-4x=-70
-2x=-70
x=35
Now substitute 35 in place of x
2x = 2*35 = 70
4x-70 = 4*35 - 70 = 70
David participating in a 6-day cross-country biking challenge. He biked for 65, 56, 57, 58 , and 67 miles on the first five days. How many miles does he need to bike the last day so that his average (miles) per day ?
Answer:
Hi
Step-by-step explanation:
Please like I am noob I neeed brainliest
how do u find this plssss tell me how?
Answer:
The sin of 20 degrees is 0.34202, the same as sin of 20 degrees in radians. To obtain 20 degrees in radian multiply 20° by / 180° = 1/9 . Sin 20degrees = sin (1/9 × .
Step-by-step explanation:
Your welcome! :)
There are 10 rows of flowers in the garden. Each row has 6 roses, 4 mums, and 5 tulips. Which expression represents this situation
Answer:
10(6 + 4 + 5)
Step-by-step explanation:
What is the value of x in the equation 2(5x + 4) = 17?
A 5/2
B 2/5
C 9/10
D 17/18
Answer:
[tex]\frac{9}{10}[/tex]
Step-by-step explanation:
[tex]2(5x+4)=17,\\10x+8=17,\\10x=9,\\x=\frac{9}{10}[/tex]
Analysis:
2(5x+4)=17
Distribute10x+8=17,
Subtract 8 from both sides to isolate x10x=9
Divide both sides by 10 to isolate xx=9/10 (ans)
Answer:
x = 9/10
Step-by-step explanation:
2(5x + 4) = 17
Distribute
10x+8 =17
Subtract 8 from each side
10x +8-8 = 17-8
10x = 9
Divide by 10
10x/10 = 9/10
x = 9/10
can someone pls help for brainlest
Answer:
I think it 1188mm but not that sure if someone can double make sure
Answer:
382.50
Step-by-step explanation:
Area of the Shaded region = Area of the larger triangle - Area of the smaller triangle;
Let's find the area of the large triangle first;
A = 1/2(base) * (height)
A = 1/2(33) * (33)
A = 16.5 * 33
A = 544.5
Now let's find the area of the small triangle;
A = 1/2(base) * (height)
A = 1/2(18) * (18)
A = 9 * 18
A = 162
Area of the shaded region;
=> 544.5 - 162
=> 382.5 (if rounded to the nearest hundredths, 382.50)
Hope this helps!
Find the measure of angle 2.
60°
90°
120°
30°
Answer:
60
Step-by-step explanation:
answer is in photo above
What is the obesity threshold weight for a young adult American male?
Answer:
If your BMI is 18.5 to 24.9, it falls within the normal or Healthy Weight range. If your BMI is 25.0 to 29.9, it falls within the overweight range. If your BMI is 30.0 or higher, it falls within the obese range.
Step-by-ste
Answer:
218.7 lbs is your answer
Is the following statement
possible or impossible?
A triangle has side lengths of
4, 8, and 9.
Possible
Impossible
Answer:
Possible
Step-by-step explanation:
The sum of two sides must be greater than the sum of the third side.
Answer:
Impossible
Step-by-step explanation:
Two sides of a triangle must always be less than the third.
how many different passwords are possible
Answer:
I think 2600 passwords are possible
Peggy had three times as many quarters as nickels. She had $1.60 in all. How many nickels and how many quarters did she have?
Answer:
0.05n + 0.25q = 1.60
q = 3n
0.05n + 0.25(3n) = 160
0.05n + 0.75n = 1.60...multiply by 100 to get rid of the decimals
5n + 75n = 160...answer D
Step-by-step explanation:
(meow) <3
Please help me it's urgent!
Answer:
1st one may be the answer to your question 39% sure
The cost price of the shoes are $50. The selling price of the shoes are 300% of the cost price. What is the selling price of the shoes? *
Answer:
47 or 200
Step-by-step explanation:
Hi! i need help with this math problem! it’s for right triangles please help me
Sana Po nakatulong
stay safe po
what is the answer?? give me correct answer pls
with full solution...
Answer:
4
Step-by-step explanation:
43/16 times 125 equals 335.9375
Find the distance between (1, -5) and (-6, 2).
**If necessary, round to the nearest tenth**
98 units
34 units
9.9 units
5.8 units
Answer:
d = 9.9 units
Step-by-step explanation:
Picture a right triangle with one acute vertex at (1, -5) and the other at (-6, 2). Going from one to the other, we see a change in x (run) of 7 and a change in y of 7. Applying the Pythagorean Theorem, we find the distance between the two points as follows:
d = √(7² + 7²) = 7√2, or approximately 9.9 units.
please answer quickly easy 10 points but please answer quick
Answer:
He traveled 520 miles
Step-by-step explanation:
8 x 65 = 520
Answer: 520 miles
Step-by-step explanation:
Data: Juan drove 8 hours
Drove at an average Speed of 65 mph
Miles driven=x
Only step: Multiply 65 by 8 which is 520
Explanation: Since Juan drove at an average speed of 65 miles per hour, that means he drove 65 mile for every hour he drove. So since he drove for 8 hours, you multiply 8 hours by 65 miles so that you get get the total amount of hours driven by him.
Don't forget to add "Miles" to the end of your answer because most math teachers tend to want that in an answer like this.
I hope this helps(Mark brainiest if you want to, thanks)
624,612 rounded to the nearest hundred is
Answer:
624 600
Step-by-step explanation:
624 612
you have to concentrate at the 1 because because it's at the tens place, if the 1 is not greater than 5 you don't have to do anything. you just have to remove the two numbers before the the number 6 and you so it automatically should be 624 600.
To round a number to the nearest hundredth , look at the next place value to the right (the tens this time). Same deal: If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the hundredths place, and then remove all the digits to the right.
Evaluate the following expression at x = -4
-5x-1
please answer this its due tomrrow
please do what the questions says. DO ALL OF THE QUESTIONS. DONT SAY YOU SHOULD OD ONE BECAUSE I DONT KNOW ANY!!!!!
Answer:
Oki Doki, read below this will be long.
Step-by-step explanation:
So, lets start with mr moy.
First off, we need to figure out the total hours that mr moy worked.
Throuhgout the 7 days of the week, he worked 5 days. These were his hours:
8, 8, 8, 8, 9
Adding these together, you get a total of 41 hours.
Next we have total wage.
To find this, multiply the total hours by the hourly income. We know the hourly income is 12.5, and the total hours is 41:
12.5*41=512.5
So 512.5 is the total wage.
Lets do this for the next four people, I am just going to speed it up a bit:
Ms wong - hours - 8+8+7+9+9 =41. Hourly income - 9.5. Total income: 9.5*41:
389.5 is total income
41 is total hours
Maria - hours - 5+5+6+8+9=33. Hourly income - 7.5. Total income: 7.5*33:
247.5 total income
33 total hours
Tom - 4+4+4+4+4+8+8=36. Hourly income - 7.5. Total income: 7.5*36:
270 total income
36 total hours
Jacob - 5+5+5+7+7 =29. Hourly income - 7.5. Total income: 7.5*29:
217.5 total income
29 total hours
OK, now for the total sums:
Total hourly wages - 7.5+7.5+7.5+12.5+9.5=44.5
Total of the total hours - 41+41+33+36+29=180 hours
Total of total wages - 217.5+512.5+389.5+270+247.5=1637
Ok, thats it for the first page.
On the next pages, I was slightly confused. But Ill try my best.
A - for each employ, calculate total hours and wages. We already did this before.
B - What is the total amount that is paid out in wages in a week. We already did this before(1637)
C - which day is the busiest day of the week - Saturday. The slowest? Monday
So we know the slowest day has to be monday, since the total employment hours is 8+8+4=20. WHich is lower than the rest.
We also know the busiest day has to be saturday, since the total employment hours is 9+9+8+5=31. Which is higher than the rest.
Now to the the third page.
What is the average employe wage?
Lets add up all the wages, and divide by the amount of wages:
7.5+7.5+7.5+9.5+12.5=44.5
44.5/5
=
8.9
This is the average wage.
I dont totally understand part b or c of this answer.
I cannot draw or make a graph and table right now, so I cannot finish your answers.
I hope these help though!
Round the answer to the nearest hundredth: 3.21 + 3.62 ÷ 2.43
PLS HELP WILL GIVE MOST POINTS
Answer:
4.7
Step-by-step explanation:
3.21 + 3.62 ÷ 2.43
[tex]3\frac{21}{100}+1\frac{119}{243}[/tex]
[tex]4\frac{ 17003}{24300}[/tex]
[tex]4\frac{ 17003}{24300}=4.6997119341564[/tex]
4.6997119341564 rounds to
4.70
Answer is 4.70
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
3.21 + 3.62 ÷ 2.43
Convert decimal into fraction,
[tex]\dfrac{321}{100} + \dfrac{362}{100}\div\dfrac{242}{100}[/tex]
[tex]\dfrac{321}{100} + \dfrac{362}{242}[/tex]
[tex]\dfrac{(321)(242)+(362)(100)}{(100)(242)}[/tex]
[tex]\dfrac{77682+36200}{24200}[/tex]
[tex]\dfrac{113882}{24200}[/tex]
[tex]4.7[/tex]0
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Jackson is shopping for thank you notes. He is trying to decide between three different
packages of notes as shown below. Which package is the best deal?
Package 1 15 notes for $18.75
Package 2 30 notes for $39.90
Package 3 25 notes for $33.75
[A] Package 1
[B] Package 2
[C] Package 3
[D] Either Package 2 or 3
Answer:
its A pls dont delete answer
Step-by-step explanation:
A box is filled with 5 blue cards, 4 red cards, and 5 brown cards. A card is chosen at random from the box. What is the probability that it is a blue or a brown card?
HELP QUICK PLEASEEEEEE
Answer:
It woule be c and d, so a)
Step-by-step explanation:
Only a and b are functions.
A class' test scores are normally distributed with a mean of 48 points and a standard
deviation of 3 points. What percentage of test scores are are between 47 and 52
points? Round to the nearest hundredth of a percent.
Answer:
53.94%
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 48 points
σ is the population standard deviation = 3 points
For x = 47 points
z = 47 - 48/3
= -0.33333
Probability value from Z-Table:
P(x = 47) = 0.36944
For x = 52 points
z = 52 - 48/3
= 1.33333
Probability value from Z-Table:
P(x = 52) = 0.90879
Hence, the probability of test scores that between 47 and 52 points is calculated as:
P(x = 52) - P(x = 47)
= 0.90879 - 0.36944
= 0.53935
Therefore, the percentage of test scores that are between 47 and 52
points is given as:
0.53935 × 100
= 53.935%
Approximately to the nearest hundredth of a percent ≈ 53.94%
In a (Gallup poll, 26.6% of 5000 people reported a Body Mass Index (BMl) greater than 30, which is classified as obese. The 5000 people polled are a random sample of adults, aged 18 and older, from the United States population. Choose the correct interpretation for the 98% confidence interval for the proportion of the population who arc obese? A. The proportion of adults in the United States, aged 18 or older, who are obese is between 0.2515 and 0.2805. B. We are 98% confident the proportion of adults polled who are obese is between 0.2515 and 0.2805. C. In 98% of all samples, the proportion of adults polled who are obese will be between 0.2515 and 0.2805. D. We are 98% confident that the proportion of adults in the United States, aged 18 or older, who are obese is between 0.2515 and 0.2805.
Answer:
D. We are 98% confident that the proportion of adults in the United States, aged 18 or older, who are obese is between 0.2515 and 0.2805.
Step-by-step explanation:
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 z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
26.6% of 5000 people reported a Body Mass Index (BMl) greater than 30
This means that [tex]\pi = 0.266, n = 5000[/tex]
98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.266 - 2.327\sqrt{\frac{0.266*0.734}{5000}} = 0.2515[/tex]
The upper limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.266 + 2.327\sqrt{\frac{0.266*0.734}{5000}} = 0.2805[/tex]
The correct interpreation is that we are 98% confident that the proportion of adults in the United States, aged 18 or older, who are obese is between 0.2515 and 0.2805, which means that the correct answer is given by option D.
You told your friend that you could eat 9/12 of a large pizza. If you only ate 3/4 of what you said you could eat, what fraction of a large pizza did you eat?
Answer:
9/16
Step-by-step explanation:
You need to find how much 3/4 is of 9/12.
If using a calculator ((3/4) * 9)/12 gives you a decimal of 0.5625 or 9/16
Can someone please professionally explain the math equation. (Not just answer the question)
12b + 12 ≥ 60
SOLVE the inequality.
GRAPH the solution.
Make sure to solve and graph the equation please.
I will mark as brainliest!
Answer:
b ≥ 4
Step-by-step explanation:
12b + 12 ≥ 60
Subtract 12 from each side
12b + 12-12 ≥ 60-12
12b ≥ 48
Divide each side by 12
12b/ 12 ≥ 48/12
b ≥ 4
Close circle at 4 line to the right
Answer:
Step-by-step explanation:
12b + 12 ≥ 60
1) add -12 at both members
12b + 12-12 ≥ 60 -12
12b ≥ 48
2) divide both members by 12
12/12 b ≥ 48/12
b ≥ 4
for graph the solutions we have to draw two lines
the first one is an horizontal line that has as equation the right part of the inequality
y = 60
the second one is a line the that passes from the origin and interecpts the first line in (4;60). 4 is the the first number that can be a possible value of the inequality
Equation a line that passes for two points A (0,0) , B (4,60)
(y-y1)/(y2-y1) = (x-x1)/(x2-x1)
(y - 60)/ (0 -60) = (x - 4) / (0-4)
(-y+60)/60 (-x+4)/4
-y + 60 = -15x + 60
y = 15x
the solutions of the inequality are all the points between the two lines with x≥4 and y≥60
A car was bought for D750,000 and was sold for D775,000 calculate the percentage profit