It is known that the diameter is twice the radius so it follows:
\(D=2r\)1. For r=3 feet, the diameter is given by:
\(D=2(3)=6\)Hence the diameter is 6 feet.
2. For r=11 cm the diameter is given by:
\(D=2(11)=22\)Hence the diameter is 22 feet.
need help asap please
Answer:
this is way to hard
Step-by-step explanation:
100 POINTS PLEASE HELP!!! PICTURE IS ATTACHED.
The simplified expression is \(c^2 d^2 e^6 / b^8\)
How simplification of an expression work?The given expression is \((a^0 b^-4 cde^3)^2\)
We know that any number raised to the power of 0 is 1.
Therefore,\(a^0 = 1\).
Also, any number raised to the power of -1 is its reciprocal.
Therefore, \(b^-4 = 1/b^4\)
Simplifying the above expression we get
\((1*1/b^4 * cde^3)^2 = (cde^3/b^4)^2\)
Now, we apply the rule that \((a^m * a^n) = a^(m+n)\)
So, \((cde^3/b^4)^2 = c^2 d^2 e^6 / b^8)\)
Hence the simplified expression is \(c^2 d^2 e^6 / b^8\)
Please note, when an exponent is raised to another exponent, we can multiply the exponents, so \((a^m)^n = a^(m*n)\)
To know more about simplification visit: https://brainly.com/question/28996879
#SPJ1
5/6 having denominator 35
Answer:( 175/6)
Step-by-step explanation: 5*35/6=175/6 sour our numerator is 175/6. So sour answer is (175/6)/35
PLEASE HELP I WILL MARK BRAINLYIST IF CORRECT The following graph shows a proportional relationship.
What is the constant of proportionality between y and x in the graph?
Given the diagram below, what is
cos(45*)?
8 √2
450
Triangle not drawn to scale
O A. 1/√2
O B. 2 √2
O C. 4 √2
O D. √2
The value of cos(45°) is √2/2. The correct answer choice is D. √2.
In the given diagram, the angle labeled as 45° is part of a right triangle. To find the value of cos(45°), we need to determine the ratio of the adjacent side to the hypotenuse.
Since the angle is 45°, we can assume that the triangle is an isosceles right triangle, meaning the two legs are congruent. Let's assume the length of one leg is x. Then, by the Pythagorean theorem, the length of the hypotenuse would be x√2.
Now, using the definition of cosine, which is adjacent/hypotenuse, we can substitute the values:
cos(45°) = x/(x√2) = 1/√2
Simplifying further, we rationalize the denominator:
cos(45°) = 1/√2 * √2/√2 = √2/2
Therefore, the value of cos(45°) is √2/2.
The correct answer choice is D. √2.
for such more question on angle
https://brainly.com/question/25716982
#SPJ8
What are the coordinates of the point on the directed line segment from (-7, 10) to
(-2,-5) that partitions the segment into a ratio of 2 to 3?
Which statements about quadrilaterals are true? Check all that apply.
The sum of the measures of their interior angles is 180º.
The sum of the measures of their interior angles is 360°.
They are all polygons with four sides.
All quadrilaterals must have at least one set of congruent angles or parallel sides.
A square is a rectangle and a parallelogram, but not a trapezoid.
Answer:
2. The sum of the measures of their interior angles is 360º.
3. They are all polygons with four sides.
5. A square is a rectangle and a parallelogram, but not a trapezoid.
Step-by-step explanation:
The statements b,c, and e about quadrilaterals are true
What is quadrilateral?
A quadrilateral is a closed figure with four sides. The total of the internal angle measurements is 360°. They are all four-sided polygons. A square is not a trapezoid, but it is a rectangle and a parallelogram.
The statements about quadrilaterals are true;
b. The sum of the measures of their interior angles is 360º.
c. They are all polygons with four sides.
d. A square is a rectangle and a parallelogram, but not a trapezoid.
Hence, the statements b,c, and e about quadrilaterals are true
To learn more about quadrilaterals refer to;
https://brainly.com/question/13805601
#SPJ2
Write 0.001 x 2 000 000 in standard form,
Answer:
Nan x 10₋₁
That is your answer by a standard form calculator
3
What are the benefits of a long-term bond over a short-term bond?
a. Long-term bonds have fewer risks than short-term bonds.
b. Long-term bonds have more risks associated with them, and bring in lower returns for the
initial investment.
c. While long-term bonds have more risks associated with them, they have the potential to bring
in higher returns for the initial investment.
d. Long-term bonds always have a higher return for the investment.
Answer:
c is the right answer
Step-by-step explanation:
okk how are u ?
The statement (C) "While long-term bonds have more risks associated with them, they have the potential to bring in higher returns for the initial investment" is correct.
What are a long-term bond and a short-term bond?Long-term bonds keep an investor's money locked up for a longer period than a short-term bond, giving the bond's price more time to be impacted by changes in interest rates and inflation.
As we know,
The fact that short-term bonds offer lower interest rates than long-term bonds is a drawback.
Long-term bonds have a larger chance of receiving higher rates since there is a bigger likelihood that interest rates will rise over time.
Bonds with a long term are often those that investors hold for almost ten years.
Thus, the statement (C) "While long-term bonds have more risks associated with them, they have the potential to bring in higher returns for the initial investment" is correct.
Learn more about the long-term bond and short-term bond here:
https://brainly.com/question/14224896
#SPJ2
Is there any math Aces in Brainly today?
Answer:
So this angle is an acute angle so it would be around 60 so i think its D
Step-by-step explanation:
can i have brainliest
Please help me I need these ASAP. I'll mark as brilliant!
make c the subject: (a+c)^2=t
make x the subject: p=3(y+2x)^2
\((a + c) ^{2} = t \\ c = \sqrt{t } - a \\ c = - \sqrt{t} - a\)
\(p = 3(y + 2x) ^{2} \\ x = \frac{ \sqrt{3p} }{6} - \frac{y}{2} \\ x = - \frac{ \sqrt{3p} }{6} - \frac{y}{2} \)
24. There are 45 houses in Grey's Lake subdivision. Each house uses 400 gallons of water each day. Write a division equation to represent the total number of gallons of water used daily in Grey's Lake subdivision.
Answer: 18000/45= gallons used daily
Step-by-step explanation:
400x45=18000
Answer: 18000/45 gallons used daily
Step-by-step explanation: 400x45=18000 gallons
If $230 is invested for one year at 8% simple interest, how much interest is earned?
Answer:
$18.40
Step-by-step explanation:
To find 8% of $230, we first have to find 1% of $230.
230 ÷ 100 = 2.30
Because 1% of $230 is $2.30, to find 8% we multiply $2.30 by 8
2.30 x 8 = 18.4
8% of $230 is $18.40
Compare 8 • 10^7 to 2 • 10^4 (how many times larger)
Answer:
I believe the answer is 4,000 times larger.
Step-by-step explanation:
8*10⁷ = 80000000
2*10⁴ = 20000
20000*4000 = 80000000
Four movie tickets cost $36. At this rate, what is the cost of 5 and 11 movie tickets Please answer!
-5w+3(w+8)=26 solve for w ?
Answer:
w = -1
Step-by-step explanation:
Get me right twinnnn
Answer:
\( \frac{9x { }^{2 } - 63x}{ 3x} \\ = \frac{3x(3x - 21)}{3x} \\ = 3x - 21 \)
hope it helps:)
Answer:3x-21
Step-by-step explanation:
\(\frac{9x^{2} - 63x }{3x}\) ⇒ \(\frac{3x * (3x - 21) }{3x}\) ⇒ cancel out 3x ⇒ 3x - 21
A bank account gathers compound interest at a rate of 5% each year.
Another bank account gathers the same amount of money in interest by the end of each year, but gathers compound interest each month.
If Haleema puts £3700 into the account which gathers interest each month, how much money would be in her account after 2 years and 11 months?
Give your answer in pounds to the nearest 1 p.
Haleema would have approximately £3947.46 in her account after 2 years and 11 months, considering the monthly compounding interest of 5%.
To calculate the amount of money in Haleema's account after 2 years and 11 months, we need to consider the monthly compounding interest on the account.
The interest rate is given as 5% per year, which means the monthly interest rate is (5%/12) = 0.4167%.
Let's calculate the final amount using the compound interest formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.
In this case, P = £3700, r = 0.004167, n = 12 (monthly compounding), and t = 2.917 (2 years and 11 months).
Plugging these values into the formula, we get:
A = £3700(1 + 0.004167/12)^(12*2.917)
A ≈ £3947.46
The amount of money in Haleema's account after 2 years and 11 months would be approximately £3947.46.
For more questions on compound interest
https://brainly.com/question/28020457
#SPJ8
Can someone help me please? ASAP
Answer:
triangle XYZ is similar to triangle RPQ
scale factor = 2/5
Step-by-step explanation:
Angles X and R are given as congruent.
Angles Z and Q are right angles, so they are congruent.
Then, angles Y and P must be congruent.
The similarity statement is
triangle XYZ is similar to triangle RPQ
To find the scale factor, divide the length of a side of the image by the length of the corresponding side in the original.
10/25 = 2/5
The scale factor is 2/5.
In a packaging plant, a veteran employee can package 126 items in 3 hours. Find the unit rate of the number of items packaged per hour.
Answer: 42 packages per hour
Step-by-step explanation:
20% of the 65 coffee mugs at Toby's Pancake House are dirty. How many dirty are there at the pancake house? pls answer asap for brainliest
Answer:
13
Step-by-step explanation:
20% of 65 = 0.2 * 65 = 13
Prove that the diagonals of a rectangle bisect each other.
The midpoints are the same point, so the diagonals _____
are parallel to each other.
bisect each other.
have the same slope.
are perpendicular to each other.
Answer:
bisect each other.
Step-by-step explanation:
The midpoints are the same point, so the diagonals bisect each other.
__
More elaboration on a proof
The alternate interior angles formed by diagonals and the sides of the triangle are congruent, so the (point-to-point) triangles formed by the crossing diagonals are congruent ASA. Since the sides of those triangles are congruent, the diagonals meet at their midpoints. That is, the diagonals bisect each other.
Find the value of x so that the line passes through the points (8, 1) and (x, 7) and has a slope of −1/2
Answer:
That's the answer and I hope it helps.
Refer to the Behavioral Research in Accounting (January 2008) study of Machiavellian traits in accountants, Exercise 1.6 (p. 6). Recall that a questionnaire was administered to a random sample of 700 account- ing alumni of a large southwestern university; how- ever, due to nonresponse and incomplete answers, only 198 questionnaires could be analyzed. Based on this information, the researchers concluded that Machiavellian behavior is not required to achieve success in the accounting profession. (a) What is the population of interest to the researcher? (b) Identify the sample. (c) What inference was made by the researcher? (d) How might the nonresponses impact the inference?
Answer:
Behavioral Research in Accounting (January 2008) study of Machiavellian traits in accountants
a) Population of interest to the researcher: accountants
b) Sample = 700 accounting alumni
c) The inference made by the researcher = Machiavellian behavior is not required to achieve success in the accounting profession.
d) The non-responses reduce the sample size and this might introduce bias to the inference made to the population.
Step-by-step explanation:
a) Data and Calculations:
Research Question = Is Machiavellian behavior is required to achieve success in the accounting profession?
Population of interest = all accountants
Sample size = 700 accounting alumni of a university
No. of analyzed questionnaires = 198
No. of questionnaires not analyzed due to nonresponse and incomplete answers = 502 (700 - 198)
Percentage of analyzed questionnaires to sample size = 28.3% (198/700 *100)
Percentage of questionnaires not analyzed = 71.7% (100% - 28.3%)
Conclusion reached by the researchers = Machiavellian behavior is not required to achieve success in the accounting profession.
9x^2y+12xy^2
URGENT!! SOLVE PLEASE.
Answer:
3xy(3x+4y)
Step-by-step explanation:
The simplified expression is 3xy(3x + 4y).
What is an algebraic expression?In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression.
The given expression is 9x²y + 12xy².
Simplify the expression as follows:
9x²y + 12xy²
= 3xy(3x + 4y)
Hence, the simplified expression is 3xy(3x + 4y).
Learn more about algebraic expressions here:
https://brainly.com/question/953809
#SPJ2
Which of the following could be the rectangle's length and width?
(Area = length x width)
Choose all answers that apply:
A) 1 cm and 15 cm
B) 2 cm and 7 cm
C) 3 cm and 5 cm
D) 4 cm and 4 cm
The possible rectangle's length and width are A) 1 cm and 15 cm and C) 3 cm and 5 cm
How to determine the possible rectangle's length and width?The given parameters are
Area = 15 square cm
The area is given as
Area = 15 square cm
The formula of area is
Area = Length x Width
Using the above formula, we have:
A) 1 cm and 15 cm ⇒ 15 square cm
B) 2 cm and 7 cm ⇒ 14 square cm
C) 3 cm and 5 cm ⇒ 15 square cm
D) 4 cm and 4 cm ⇒ 16 square cm
Hence, the possible rectangle's length and width are A) 1 cm and 15 cm and C) 3 cm and 5 cm
Read more about area at:
https://brainly.com/question/17335144
#SPJ1
Possible question
The area of a rectangle is 15 square cm
Which of the following could be the rectangle's length and width?
(Area = length x width)
Choose all answers that apply:
A) 1 cm and 15 cm
B) 2 cm and 7 cm
C) 3 cm and 5 cm
D) 4 cm and 4 cm
NO LINKS!!! URGENT HELP PLEASE!!!
Solve ΔABC using the Law of Sines
1. A = 29°, C = 63°, c = 24
2. A = 72°, B= 35°, c = 21
Answer:
1) B = 88°, a = 13.1, b = 26.9
2) C = 73°, a = 20.9, b = 12.6
Step-by-step explanation:
To solve for the remaining sides and angles of the triangle, given two sides and an adjacent angle, use the Law of Sines formula:
\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)
Question 1Given values:
A = 29°C = 63°c = 24As the interior angles of a triangle sum to 180°:
\(\implies A+B+C=180^{\circ}\)
\(\implies B=180^{\circ}-A-C\)
\(\implies B=180^{\circ}-29^{\circ}-63^{\circ}\)
\(\implies B=88^{\circ}\)
Substitute the values of A, B, C and c into the Law of Sines formula and solve for sides a and b:
\(\implies \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\)
\(\implies \dfrac{a}{\sin 29^{\circ}}=\dfrac{b}{\sin 88^{\circ}}=\dfrac{24}{\sin 63^{\circ}}\)
Solve for a:
\(\implies \dfrac{a}{\sin 29^{\circ}}=\dfrac{24}{\sin 63^{\circ}}\)
\(\implies a=\dfrac{24\sin 29^{\circ}}{\sin 63^{\circ}}\)
\(\implies a=13.0876493...\)
\(\implies a=13.1\)
Solve for b:
\(\implies \dfrac{b}{\sin 88^{\circ}}=\dfrac{24}{\sin 63^{\circ}}\)
\(\implies b=\dfrac{24\sin 88^{\circ}}{\sin 63^{\circ}}\)
\(\implies b=26.9194211...\)
\(\implies b=26.9\)
\(\hrulefill\)
Question 2Given values:
A = 72°B = 35°c = 21As the interior angles of a triangle sum to 180°:
\(\implies A+B+C=180^{\circ}\)
\(\implies C=180^{\circ}-A-B\)
\(\implies C=180^{\circ}-72^{\circ}-35^{\circ}\)
\(\implies C=73^{\circ}\)
Substitute the values of A, B, C and c into the Law of Sines formula and solve for sides a and b:
\(\implies \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\)
\(\implies \dfrac{a}{\sin 72^{\circ}}=\dfrac{b}{\sin 35^{\circ}}=\dfrac{21}{\sin 73^{\circ}}\)
Solve for a:
\(\implies \dfrac{a}{\sin 72^{\circ}}=\dfrac{21}{\sin 73^{\circ}}\)
\(\implies a=\dfrac{21\sin 72^{\circ}}{\sin 73^{\circ}}\)
\(\implies a=20.8847511...\)
\(\implies a=20.9\)
Solve for b:
\(\implies \dfrac{b}{\sin 35^{\circ}}=\dfrac{21}{\sin 73^{\circ}}\)
\(\implies b=\dfrac{21\sin 35^{\circ}}{\sin 73^{\circ}}\)
\(\implies b=12.5954671...\)
\(\implies b=12.6\)
Which expression are equivalent to X+2y+x+2
A)2(x+y+1)
B)2x+4y+4
C)none of the above
Explain how you can tell if the expressions
7x – 4 and 6x – 4 – x are equivalent using the interactive tool.
Answer:
the expression is 9)+9(12=21
Step-by-step explanation:
Answer:
commutative property: the property stating that changing the order in which two numbers are added or multiplied does not change the value of the sum or product
equivalent: having the same amount, value, area, volume, or force
evaluate: to determine the value of
like terms: terms consisting of the same variables, raised to the same exponent
Step-by-step explanation:
Lauren’s age is half of Joe’s age. Emma is four years old than Joe. The sum of Lauren, Emma, and Joe’ age is 54. How old is Joe?