Answer:
25π square inches or 78.5 sq in
Step-by-step explanation:
circumference = π x diameter
thus
10 π inches= π x d
d = 10 inches
area of circle = π x d x d / 4
= π x 10 x 10 x 4
= 25π sq in
= 78.5 sq in
Sara invests $4000 at 7.2% annual interest compounded monthly. Find the final amount of Sara's investment after 15 years. *
Answer:
$8,711.99
Step-by-step explanation:
The formula for calculating the compound interest in expressed as;
A =P(1+r/n)^nt
Principal P = $4000
r is the rate = 7.2% = 0.072
t is the time = 15years
n = 1/12
Substitute
A = 4000(1+0.072(1/12))^15/12
A = 4000(1+0.072(12))^1.25
A = 4000(1+0.864)^1.25
A = 4000(1.864)^1.25
A = 4000(2.1779)
A = 8,711.99
Hence the final investment after 15years is $8,711.99
A diagonal of a cube goes from one of the cube's top corners to the opposite corner of the base of the cube, Find the length of a diagonal d in a cube that has an edge of length 10 meters.
d = 17.3 m
Step-by-step explanation:
We can extend Pythagorean theorem to 3 dimensions by writing
[tex] {d}^{2} = {x}^{2} + {y}^{2} + {z}^{2} [/tex]
or
[tex]d = \sqrt{ {x}^{2} + {y}^{2} + {z}^{2} } [/tex]
Since we are dealing with a cube of side 10 m, then
x = y = z = 10 m
so we get
[tex]d = \sqrt{ {10}^{2} + {10}^{2} + {10}^{2} } [/tex]
or
[tex]d = \sqrt{3 \times {10}^{2} } = 10 \sqrt{3} \: m[/tex]
This becomes
d = 17.3 m
Easy
1/6 x 1/2x 1/3
help me (￣▽￣)╭
======================================================
Explanation:
The numbers up top are 1,1,1. They multiply to 1*1*1 = 1. So that means 1 is the numerator of the answer.
The numbers down below are 6,2,3. They multiply to 6*2*3 = 36. This is in the denominator for the answer.
That means (1/6)*(1/2)*(1/3) = 1/36
The rule I used is (a/b)*(c/d) = (a*c)/(b*d)
Answer:
1/36
Step-by-step explanation:
Step 1:
1/6 · 1/2 · 1/3 Equation
Step 2:
1/6 · 1/6 Multiply
Answer:
1/36
Hope This Helps :)
what is 55 degrees in radian measure as a multiple of pi
pls need help... brainliest :))
Answer:
I am not the best in this type of math, the best thing I can do is help you.
You see that there is a pattern in the chart? X adds 2 every column, and Y adds 4 every column.
I believe the slope simplified is 2/1, if you are following y/x. If not, then the other way around.
Unfortunately, I can't help you with the rest of the problem, but I hope you can get a good idea of what your supposed to do.
Have a good day.
Please help me with this
Answer:
Step-by-step explanation:
Gabriela has solved incorrectly. 5 should distributed to 9x & (-8) and 4 should be distributed between x & 2
5(9x - 8) = 4*(x + 2)
5*9x - 5*8 = 4*x + 4*2
45x - 40 = 4x + 8
Subtract 4x from both sides
45x - 4x - 40 = 8
41x - 40 = 8
Add 40 to both sides
41x = 8 + 40
41x = 48
x = 48/41
A hotel room is originally priced at $159.00 per night during the week (Monday-Thursday). On weekends (Friday - Sunday), the price increases by 12%. What is the price of a hotel room on a Saturday night?
Twenty-five sixth-grade students were asked to estimate how many hours a week they spend talking on the phone. This dot plot represents their reported number of hours of phone usage per week.
Answer:
where is the dot plot??
Step-by-step explanation:
Find the slope of the line that passes through (10, 4) and (6, 3).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
The slope of the line that pass through the points (10, 4), and (6, 3) is 1/4
Step-by-step explanation:
The given points son the line are; (10, 4), and (6, 3)
The slope of a line is the rate of change of the y-values of the line relative to the x-values of the given line and the slope. 'm', can therefore be found by specifying two points on the line, (x₁, y₁), and (x₂, y₂), from which we get;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Therefore, the slope of the found line is given as follows;
(x₁, y₁) = (10, 4) and (x₂, y₂) = (6, 3)
[tex]Slope \ of \ the \ line, \, m =\dfrac{3-4}{6-10} = \dfrac{-1}{-4} = \dfrac{1}{4}[/tex]
The slope of the line that pass through the points (10, 4), and (6, 3), m = 1/4
find the value of 3x=1/9
There are 4 000 people at a concert. 70% of these bought their tickets in advance. How many people at the concert bought tickets in advance?
As per linear equation, the number of people who bought ticket in advance is 2800.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1."
Given, the number of people is 4000.
70% of the people bought ticket in advance.
Therefore, the number of people who bought ticket in advance is
[tex]= \frac{4000(70)}{100}\\ = 2800[/tex]
Learn more about linear equation here: https://brainly.com/question/9403663
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Find the area of a regular Heptagon with a side length of 7?
Answer:
[tex]seven \: sides \\ area = (7 \times 7) \\ = 49 \: sq \: units[/tex]
Select all of the following that are equivalent to 1/10,000
A (10,000)^-1
B(-10,000)
C(100)^-2
D(10)^-4
E(-10)^2
D.( 10 )^-4
This is the answer of your question
hope it is helpful to you
The sum of a number is
4 less then 2 times a
number is 35 what is the number?
21.5
Step-by-step explanation:35 divided by 2 = 17.517.5 + 4 = 21.5Just do the inverseA delivery service tells you it will deliver your package to a customer for a flat fee of $7.50,
plus $0.28 per mile from your business to the customer's location. The customer is located
53 miles from your business. What will it cost you to use the delivery service?
0.28*53+7.50=22.34 dollars
There were 24 1/4 crates of tomatoes in the barn but 7 3/5 crates of tomatoes were rotten and had to be thrown out. Joe sold 8 1/3 crates and canned 7 5/6 crates of tomatoes. How many crates of tomatoes were left?
Answer:
29/60 of the crates are left behind.
Step-by-step explanation:
Total number of crates = 24 1/4= 97/4
Rotten tomatoes crates = 7 3/5= 38/5
Joe sold crates = 8 1/3= 25/8
Canned crates of tomatoes =7 5/6= 47/6
Therefore
24 1/4 - 7 3/5 - 8 1/3 - 7 5/6
= 97/4-38/5-25/3-47/6
= (97*5-38*4)/20 - (25*2+47)/6
= 485-152/20 - 97/6
= 333/20-97/6
= 333*3-97*10/60
=999-970/60
=29/60
29/60 of the crates are left behind.
This question is solved in 2 steps.
First the LCM of fraction 1 and 2 is taken separately from the LCM of fraction 3 and 4 for simplification purposes.
Then again the LCM is taken for the answers obtained from fraction 1&2 and fraction 3& 4.
The CUBE ROOT of a number is -1. What is the number? *
Answer:
The number is -1
Answer:
i
Step-by-step explanation:
What is the amount of the average rate of change?
The volume of the following figure is
240 in² which of the following is the missing side length?
A. 7 in
B. 6 in
C. 8 in
D. 5 in
Answer:
C. 8 in
Step-by-step explanation:
(5)(6)(x)=240
solve for x
30x=240
x=240/30
x=8
which graphs represent functions
A. Graph D only
B. Graph B and Graph D
C. Graph C and Graph D
D. Graph A only
Answer: C i believe
Step-by-step explanation:
Answer:
the option answer is B
Step-by-step explanation:
the is the answer because it represents functions
HELP ME WITH THIS ILL MAEK U THE BRAINLIEST
Answer:
Maria answers 85% of the questions correctly
Step-by-step explanation:
Maria had a test with 20 questions
if 17 are correct,
20 questions : 100%
17 questions : ?%
she was 85% right
hope this helps :)
Answer:
E. 85%
Step-by-step explanation:
Total Answers: 17 + 3 = 20
Maria answered 17 questions correctly
(17 ÷ 20)×100 = 85%
I need answer for number 8 please no links and the right answer thank youuu
Answer:
y = 2/5x - 4
Step-by-step explanation:
y = mx+b where m is the slope and b is the y intercept
y = 2/5x - 4
8 less than a number x is more than 5 times that same number.
Answer:
x < -1/2
Step-by-step explanation:
x - 8 > 5x
-8 > 5x -x
-8 > 4x
Divide through by 8
-1/2 > x or x < -1/2.
That is ofcourse if I interpreted the first part correctly.
make q subject in formula
t=q/2 + 5
Answer:
[tex] q = 2(t - 5) [/tex]
Step-by-step explanation:
[tex]t = \frac{q}{2} + 5 \\ \\ t - 5 = \frac{q}{2} \\ 2(t - 5) = q[/tex]
hope this helps you.
Have a nice day!
Answer:
2 ( t - 5 ) = q
Step-by-step explanation:
t = q/2 + 5subtract 5 from both side
t - 5 = q / 2 + 5 - 5t - 5 = q / 2multiply each side by 2.
2 × ( t - 5 ) = q / 2 × 22 ( t - 5 ) = qPut these numbers in order from least to greatest.
1/5, 0.78,0.71, and 0.63
Answer:
1/5, 0.63, 0.71, 0.78
Step-by-step explanation:
1/5 = 0.2
please help find x!!
Answer:
X= 360- (180+35)
X= 145
Step-by-step explanation:
since angle at a point is same as angle in a circle =360°
And we've being given two values out of three that makes up the point. so we subtract the sum of the two values from the size of angle at a point
What is sin(51°)?
A. 0.51
B. 1.23
C. 0.78
D. 0.63
Answer:
0.78
used a calculator
What is the domain of the relation
graphed below?
Answer:
Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Step-by-step explanation:
wala muna akung ma explantion hahah sore
What are the zeros and x-intercepts of this quadratic function?
y
Select two answers: one for the zeros and one for the x-intercepts.
A. x-Intercepts: (-3,0) and (2.0)
B. X-Intercepts: (0, -3) and (0,2)
C. Zeros: -3 and 2
The answer is ⇒C. Zeros: -3 and 2
A. x-intercepts: (-3,0) and (2,0).
What are zeros & x-intercepts of quadratic function?The zero of the function is where the y-value is zero.
The x-intercept is where the graph crosses the x-axis.
Here, in graph we have,
at (-3,0) and ( 2,0) the quadratic crosses the x-axis.
And, at -3 & 2 the value of y is zero.
Hence, the answer is ⇒C. Zeros: -3 and 2
A. x-intercepts: (-3,0) and (2,0).
To learn more on zeros & x-intercepts of quadratic function click:
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What is the factored form of the following expression? 25x^2 + 70x+ 49
Answer:
( 5x + 7 ) ²
Step-by-step explanation:
25 x ² + 70 x + 49
Identity Used
(a + b) ² = a ² + 2 ab + b ²= 25 x ² + 35 x + 35 x + 49
= 5 x ( 5x + 7 ) + 7 ( 5 x + 7)
= ( 5x + 7 )
More to know about Algebraic Identities :-
➛ (a + b)² = a² + 2ab + b²➛ (a - b)² = a² - 2ab + b²➛ a² - b² = (a +b) (a-b)➛ (x + a) (x + b) = x² + (a + b) x + ab➛ (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ac➛ (a + b)³ = a³ + b³ + 3ab (a + b)➛ (a - b)³ = a³ - b³ - 3ab (a + b)➛ a³ + b³ + c³ = 3abc (If a + b + c = 0)➛ a² + b² + c² = (a + b + c)² - 2 (ab + bc + ca)Answer:
(5x + 7)2.
The expression is in the form a2x2 + 2abx + b2, where a = 5 and b = 7.
Thus, it can be factored as a perfect square trinomial.
