Answer:
3017.54
Step-by-step explanation:
Volume for area of circle is A = Pie ( Or in this case 3.14 ) * radius ^ 2
Plug in the numbers 3.14 * 31 ^2
31 is half the diameter or the radius
Answer = 3017.54
ucas writes a numerical expression that has a value of 37. Which of the following expressions did Lucas write?
a
2.5^2+19\times2.5-16.75
b
2.5+19\times2.5-16.75
c
2.5^2+19\times2.5+16.75
d
2.5\times19+2.5^3-16.75
Answer:
a) 2.5^2+19\times2.5-16.75
Step-by-step explanation:
(2.5)² +(19× 2.5) - 16.75
= 6.25 + 47.5 - 16.75 = 37
2 3/4 + 5 1/2 please answer fast
hope this helps you
8 1/4
PLZ MARK BRAINLY
Step-by-step explanation:
2¾+5½
4x2+3=11
2x5+1=11
therefore we have
11/4 + 11/2
(11+22)/4
33/4= 8¼
The distribution of household incomes in a small town is strongly skewed to the right. The mean income is $42,000 and the standard deviation is $24,000. The Ames family’s household income is $60,000. The z-score for the Ames family’s income is
Answer:
0.75
Step-by-step explanation:
Given :
mean = 42000
Standard deviation = 24000
score, x = 60000
The Zscore :
Zscore = (score - mean) / standard deviation
(60000 - 42000) / 24000
18000 / 24000
= 0.75
sin + cose
If tan0 = 1 then, find the values of
sec 0 + cosec
Answer:
We know that:
Tan(x) = sin(x)/cos(x)
We know that:
Tan(θ) = 1 = sin(θ)/cos(θ)
we can rewrite this as:
sin(θ)/cos(θ) = 1
sin(θ) = cos(θ)
If you know the table of notable angles, the angle such that this is true is θ = 45°
sin(45°) = 1/√2 = cos(45°)
Now we want to find the value of:
sec(θ) + cosec(θ)
Where:
sec(θ) = 1/cos(θ)
cosec(θ) = 1/sin(θ)
And we already know the values of the sine and cosine function, then:
sec(45°) + cosec(45°) = 1/cos(45°) + 1/sin(45°) = 2*(1/( 1/√2)) = 2*√2
Then, given that:
Tan(θ) = 1
We can conclude that:
sec(θ) + cosec(θ) = 2*√2
Find the 5th term in the expansion of (a + b)º in simplest form.
Answer:
[tex]5^{th} term = 126a^5b^4[/tex]
Step-by-step explanation:
[tex]\left(a+b\right)^n=\sum _{i=0}^n\binom{n}{i}a^{\left(n-i\right)}b^i\\\\(a + b)^9 =\sum _{i=0}^9\binom{9}{i}a^{\left(9-i\right)}b^i\\\\[/tex]
[tex]=a^9 + 9a^8b + 36a^7b^2 + 84a^6 b^3 + 126a^5b^4+ 126a^4b^5+84a^3b^6+ 36a^2b^7+ 9ab^8+b^9[/tex]
[tex]5^{th} term = 126a^5b^4[/tex]
John deposits Rs 25 000 in a bank which pays simple interest at the rate of 9% per year. after how many years will he earn an interest of Rs 6750?
I = 6750
P= 25000
r = 9% = 0.09
t=?
I= prt
6750 = 25000×0.09× t
t = 6750/25000"0.09 = 3
Answer - 3 years.
can someone help please
Answer:
- 3.21
Step-by-step explanation:
Please help with this question
Answer:
56t
Step-by-step explanation:
Harry has three quarters of a dollar in coins if he only has 5 coins write the value of each coin to show the 5 coins harry has.
help
Answer
$1.25
Step-by-step explanation:
well a quarter is 25 and 4 of them is $1.00 plus 25 = $1.25 cents
You deposit $50,000 in a savings account. After 10 years, your balance is $65,000. What is your interest rate?
Answer:
r = .03 or 3%
Step-by-step explanation:
Interest = Principal x Rate x Time
15000 = 50000(10)r
15000 = 500000r
r = 15/500
r = .03 or 3%
simplify the following expression by combining like terms. select the most simplified expression: 2w +5w-6+4w
Answer:
Step-by-step explanation:
2w+5w-6+4w
=10w+4w-6
=14w-6
=2(7w-3)
Answer:
[tex]11w - 6[/tex]
Step-by-step explanation:
[tex]2w + 5w + 4w = 11w[/tex]
[tex]11w - 6[/tex]
The angle \theta_1θ 1 theta, start subscript, 1, end subscript is located in Quadrant \text{I}Istart text, I, end text, and \sin(\theta_1)=\dfrac{17}{20}sin(θ 1 )= 20 17 sine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis, equals, start fraction, 17, divided by, 20, end fraction .
Answer:
[tex]\cos(\theta_1) = \frac{\sqrt{111}}{20}[/tex]
Step-by-step explanation:
Given
[tex]\sin(\theta_1) = \frac{17}{20}[/tex]
[tex]Quadrant = 1[/tex]
Required
[tex]\cos(\theta_1)[/tex]
We know that:
[tex]\sin^2(\theta_1) + \cos^2(\theta_1) = 1[/tex]
This implies that:
[tex](\frac{17}{20})^2 + \cos^2(\theta_1) = 1[/tex]
Collect like terms
[tex]\cos^2(\theta_1) = 1 -(\frac{17}{20})^2[/tex]
[tex]\cos^2(\theta_1) = 1 -\frac{289}{400}[/tex]
Take LCM and solve
[tex]\cos^2(\theta_1) = \frac{400 -289}{400}[/tex]
[tex]\cos^2(\theta_1) = \frac{111}{400}[/tex]
Take square roots
[tex]\cos(\theta_1) = \frac{\sqrt{111}}{\sqrt{400}}[/tex]
[tex]\cos(\theta_1) = \frac{\sqrt{111}}{20}[/tex]
********Mathematics********
Answer:
m=-1and c=3
m=-2c=-3
m=5c=-2
m=3andc=-2
Sam has a rectangular rug with an area of 50 square feet. The rug is 5 feet longer than it is wide. What is the width of the rug?
O A. W = 5 feet
O B. w = 6 feet
OC. w = 12 feet
OD. w = 4 feet
Jean walks forward 80 feet to his mailbox. He then walks the 80 feet
back. Does Jean end up back where he started?
Answer:
yes
Step-by-step explanation:
Order the number from least to greatest 1/3,0.3,2/3 and 2/5
hii i have to retake this test and i have no idea if im getting this right, can someone help me out please????
here is the question:
The volume of this cylinder is approximately 12,468.94 cubic feet.
The radius is ___ feet.
Use ≈ 3.14.
image is also pasted
Answer:
radius = 19 ft
Step-by-step explanation:
volume of a cylinder: r²πh
12468.94 = r²π × 11
=> r² = 12468.94 ÷ 11π
=> r² = 361
=> r = 19
Answer:
r=19
Step-by-step explanation:
[tex]12468.94 = (3.14) {r}^{2} (11) \\ \frac{12468.94}{34.54} = \frac{34.54 {r}^{2} }{34.54} \\ \sqrt{361} = \sqrt{ {r}^{2} } \\ 19 = r[/tex]
CAN SOMEONE PLEASE HELP ME I REALLY NEED SOMEONE'S HELP PLEASE I NEED TO GET AND 100 PLEASEEEEE. I WILL MARK BRIANLIST IF YOU GET IT RIGHT.
NEED HELP 100 POINTS PLZZ
Replace the x with n:
f(n) = 2n+1
Feel free to mark it as brainliest :D
Answer:
Step-by-step explanation:
given f(x) = 2x + 1
f(n) = 2n + 1
by substitution: n replaces x in the eqn
There is a square field of side 45m. There is a well in this field of area of 5 sq. Metre. In the remaining part, we plant coconut trees at the rate of one plant per sq.Metre . How many trees can be planted in the field? If the cost of planting one tree is Rs. 75. What is the total cost of planting the trees?
Answer:
Numbner of plant in field = 2,020
Cost of planting trees = R.s 151,500
Step-by-step explanation:
GIven:
Side of square field = 45 m
Area of well = 5 square meter
1 plant = 1 squre meter
Cost per tree = R.s 75
Find:
Numbner of plant in field
Cost of planting trees
Computtaion:
Area of planting trees = Area of filed - Area of well
Area of planting trees = [45 x 45] - 5
Area of planting trees = 2,025 - 5
Area of planting trees = 2,020 squre field
Numbner of plant in field = Area of planting trees / 1 squre meter
Numbner of plant in field = 2,020
Cost of planting trees = 75 x Numbner of plant in field
Cost of planting trees = 75 x 2,020
Cost of planting trees = R.s 151,500
Pahelp pi,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
Step-by-step explanation:
Angles 4, 5, 8, 9 12, 13 and 16 are 48°, The rest of the angles will have 132°
Gold chain with an original price of $120 is on sale for $96 what is the percent of the discount
Answer:
20% off
Step-by-step explanation:
96/120 = 80% price still, so 20% off.
There are 2 bags of cat food to be shared equally between 9 kittens. What fraction of a bag will each kitten eat?
Answer: 2×9=18
Step-by-step explanation:
Answer:
the fractio will be
[tex] \frac{2}{9} for \: each[/tex]
HELP HELP-
1) -2/5 x 3/7 + 7/5 x 3/7
(the / here is used for representing fraction)
Answer:
0.42857142857
Step-by-step explanation:
Estimate a 15% tip on a dinner bill of $61.75 by first rounding the bill amount to the nearest ten dollars. What’s the estimated tip?
Answer:
Tip = $9
Step-by-step explanation:
Bill amount to nearest ten dollars = $60
[tex]tip = 15\% of 60 = \frac{15}{100} \times 60 = 9[/tex]
ELIZ
In a basketball contest, Elizabeth made
9 out of 25 free throw attempts. Alex
made 8 out of 20 free throw attempts.
Janie said that Elizabeth had a better
free-throw record because she made
more free throws than Alex.
ATTE
2
» A. Critique Reasoning
Do you agree with Janie's reasoning? Explain.
Answer:
No, Alex had the better free throw percentage
Step-by-step explanation:
If you turn these data sets into completion percentage, (which is when you make a shot), Alex has a free throw % of 40, while Elizabeth's free throw % is only 36
Evaluate 10x2y–2 for x = –1 and y = –2.
A: 5/8
B: 40
C:2 1/2
D:10(2)^0
Step-by-step explanation:
what you typed in here must be wrong or incomplete.
what you typed is (with explicit multiplication symbols to make it clear)
10×x×2×y - 2
for x=-1 and y=-2
that shows then
10×-1 × 2×-2 - 2 = -10 × -4 - 2 = 40 - 2 = 38
but 38 is not in the answer options.
so, there must be something wrong with your problem description.
100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!The high school baseball team had a winning season. Below is a histogram of the runs scored in their games this season. How many games were played in the season? Which range of runs scored during a game occurred most frequently? Which set of data fits with the given histogram?
Answer:
10 is the range 12 game were played in the season
Step-by-step explanation:
sorry if its wrong
Answer:
29 games were played in the season.
[6,8)
1,3,3,3,4,4,4,4,5,5,6,6,6,6,6,6,7,7,7,7,8,8,8,9,9,10,11,11,12
Step-by-step explanation:
find the radian measure of an angle of 110 degrees
Answer:
0.611 rad
Step-by-step explanation:
For the radian measure:
180° = π radians
180° : 110° = 11 / 18 ≈ 0.611
110° = 11π/18 rad ≈ 0.611 rad
plz help plzplzplzplz
Answer:
It is C.
First of all, we can see that angle 1 is 132 degrees because they are the same angles/measurements. Therefore, angle 1 and angle 3 are also supplementary as they create a straight line, or 180 degree angle. As they are supplementary, angle 1 + angle 3 = 180. We know that angle 1 is 132, so we have 132 + angle 3 = 180, and angle 3 is 42 degrees.