Answer:
F. 48.98 m
Step-by-step explanation:
What is circumference?
The circumference of a circle is the distance around the circle, otherwise known as the perimeter.The formula to find the circumference of a circle is 2πr, or if you're given the diameter, πdHow does it apply here?
We are asked to find the closest circumference given of the swimming pool. We are also given the radius of the pool as 7.8 meters.Solving
Step 1: Plug in your values.
[tex]2 * 3.14 * 7.8[/tex]Step 2: Simplify.
[tex](2*3.14)*7.8 = 6.28 * 7.8[/tex] [tex]6.28 *7.8 = 48.984[/tex] 48.984 ≈ 48.98Therefore, the correct answer is F. 48.98 meters.
A store owner bought a grill for $180, then
marked it up 25% to sell in his store. If a
customer has a coupon for 25% off and
purchases the grill, which statement is true?
A. The customer paid the same
amount the store owner paid.
B. The customer paid $8.75 less
than the store owner paid.
C. The customer paid $11.25 less
than the store owner paid.
D. The customer paid $9.50 more
than the store owner paid.
Answer:
A. The customer paid the same
amount the store owner paid.
Step-by-step explanation:
its adding 25% of the original $180, then immediately decreasing 25% of the original $180, thus the customer paid the same amount the store owner paid.
Need some help please.
Applying the rules of exponents, the letter answers that form the code are: MATH IS NOT JUST ANOTHER FOUR LETTER WORD.
What are the Rules of Exponents?Some of the rules of exponents to be applied are as follows:
[tex]x^0 = 1\\\\x^m \times x^n = x^{(m + n)}\\\\x^{-m} = \frac{1}{x^m} \\\\x^m \div x^n = x^{(m - n)}\\\\[/tex]
What are Equivalent Expressions?If two expressions have the same value, both are said to be equivalent expressions.
1. [tex]3^2 \times 3^{-5} = 3^{2 - 5}\\\\[/tex]
[tex]3^-3 = \frac{1}{3^3} = \frac{1}{27}[/tex]
Answer: H
2. 3³/6² = 27/36 = 3/4
Answer: R
3. [tex]\frac{3^2}{3^5} = 3^{2 - 5} = 3^{-3]} = \frac{1}{3^3} = \frac{1}{27}[/tex]
Answer: M
4. 7²/7² = 49/49 = 7° = 1
Answer: J
5. 8^-2 = 1/8² = 1/64
Answer: A
6. (4²)(4³) = 4^(2 + 3) = [tex]4^5[/tex]
Answer: L
7. (3²)³ = 3²*³ = [tex]3^6[/tex]
8. 4° × 4^-1 = 1 × 1/4 = 1/4
Answer: E
9. [tex]\frac{(2^4)^3}{(2^7)(2^5)} = \frac{2^{12}}{2^{12}}[/tex] = 1
Answer: U
10. [tex](3^2)^{-1} = 3^{-2}[/tex]
Answer: I
11. [tex]1^{98}[/tex] = 1
Answer: D
12. [tex]y^{10} \div y^5 = y^{10 - 5} = y^5[/tex]
Answer: F
13. [tex]8^{-2} \times 8^4 = 8^{(-2 + 4)}[/tex] = 8² = 64
Answer: S
14. [tex]2^{-3} \times 3^{-2} =[/tex] 1/2³ × 1/3² = 1/8 × 1/9 = 1/72
Answer: O
15. [tex]\frac{3^2}{3^2} = 3^{2-2} = 3^0 = 1[/tex]
Answer: N
16. [tex](\frac{1}{2} )^{-1} = (2^{-1})^{-1}[/tex] = 2
Answer: T
Thus, applying the rules of exponents, the letter answers that form the code are: MATH IS NOT JUST ANOTHER FOUR LETTER WORD.
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1. Find the value of X and Y:
2. Find the value of X:
Answer:
Step-by-step explanation:
The volume of a cone-shaped hole is 147 pi ft3 If the hole is 9 ft deep, what is the radius of the hole?
Please help!!
radius : 3.95 ft
[tex]\sf volume \ of \ cone: \dfrac{1}{3} \pi r^2h[/tex]
[tex]\hookrightarrow \sf \dfrac{1}{3} \pi r^2(9) = 147[/tex]
[tex]\hookrightarrow \sf r^2 = \dfrac{147*3}{\pi (9)}[/tex]
[tex]\hookrightarrow \sf r = \sqrt{\dfrac{147*3}{\pi (9)}}[/tex]
[tex]\hookrightarrow \sf r = 3.95 \ ft[/tex]
raise r to the 7th power, then double the result
Answer:
[tex]\huge\boxed{\bf\:2r^{7}}[/tex]
Step-by-step explanation:
Let the variable be taken as 'r'.
Then, by raising it to the 7th power, we'll get the result as [tex]\downarrow[/tex]
[tex]\sf\:Raise \: r \: to \: the \: 7^{th} \: power = r \: with \: 7 \: as \: its \: exponent.\\\\\sf\:Then,\\\dashrightarrow \underline{\bf\:r \: ^{7}}[/tex]
Now, by doubling the result....
[tex]\sf\:To \: double \: the \: result = multiply \: the \: result \: by \: 2.\\\\\sf\:Then,\\\dashrightarrow \sf\:r \: ^{7} \\=\boxed{\bf\: 2r\:^{7}}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
Answer:
2r⁷
Step-by-step explanation:
Raise r to 7th power
= r⁷
Double it
= 2r⁷
_________
Hope it helps ⚜
Find the surface area of each solid.
Answer:
232 in^2
Step-by-step explanation:
This rectangle has 6 surfaces:
Front: 10 x 8 = 80
Back: 10 x 8 = 80
Top: 10 x 2 = 20
Bottom: 10 x 2 = 20
Side: 8 x 2 = 16
Side: 8 x 2 = 16
Total surface area: 232 in^2
Find the area, no need to explain, need this quick!!
Answer:
A = 201.5 m2
Step-by-step explanation:
[tex]A=76.5+65+60=201.5[/tex]
Hope this helps
What value of x is the solution to the equation −3/2x−3/4=−1/5 ?
A
−19/30
B
33/40
C
−19/20
D
−11/30
Answer:
[tex]\Longrightarrow: \boxed{\sf{x=-\dfrac{11}{30} }}[/tex]
Step-by-step explanation:
Isolate the term of x from one side of the equation.
-3/2x-3/4=-1/5First, add by 3/4 from both sides.
[tex]\sf{-\dfrac{3}{2}x-\dfrac{3}{4}+\dfrac{3}{4}=-\dfrac{1}{5}+\dfrac{3}{4} }[/tex]
Solve.
⇒ = -3/2x=11/20
Then, you multiply by 2 from both sides.
2(-3/2x)=11*2/20
Solve.
11*2/20
11*2=22
22/20
Common factor of 2.
11/10
-3x=11/10
Divide by -3 from both sides.
[tex]\sf{\dfrac{-3x}{-3}=\dfrac{\dfrac{11}{10}}{-3}}[/tex]
Solve.
[tex]\Longrightarrow:\boxed{\sf{x=-\dfrac{11}{30} }}[/tex]
Therefore, the correct answer is D. x=-11/30.I hope this helps! Let me know if you have any questions.
Consider the following system of equations.
1. 75x + 1. 25y = 2. 75
7x + 5y = 9
What is the solution to the system?
Since 11 ≠ 9, there is no solution.
Since 0 = 0, there are infinitely many solutions.
There is one solution, x = 0 and y = 0.
There are two solutions (11, 0) and (0, 9)
Multiply the upper system by -4:
[tex] - 7x - 5y = - 11[/tex]
[tex]7x + 5y = 7[/tex]
[tex]0 = - 3[/tex]
[tex]this \: system \: admits \: no \: solutions[/tex]
What is the volume of this pyramid? 32 cm 9 cm 15 cm
Answer:
720cm^3
Step-by-step explanation:
The volume of the pyramid with a = 9cm, b = 15cm and l = 32cm is 720cm^3.
Answer:
720³ cm
The formula for volume is...
length ×width ×heightWith that information, we should multiply the smaller numbers first.
[tex]B = \frac{1}{2} xy[/tex]
Replace the substituted parameters with 9 and 15, then multiply them and solve.[tex]B = \frac{1}{2}(9)(15) = \frac{135}{2}[/tex]
UseV for volume.[tex]V = \frac{1}{3} * \frac{135}{2} * 32 = 45 * 16[/tex]
Reducing the expression ↓[tex]V = 720^3~cm[/tex]
Hence, the volume is 720³ cm
Benny went to his local zoo that featured 11 reptile exhibits. if these reptiles exhibits make up 55% of the zoo's exhibits, then how many exhibit does the zoo have in total?
Answer: 20 exhibits
Step-by-step explanation:
If 11 is 55%, we need to find 100%. We will set up a proportion and solve. Percents are on the bottom, exhibits are on the top.
[tex]\frac{11}{55}[/tex] = [tex]\frac{x}{100}[/tex]
Cross multiply:
1,100 = 55x
Divide:
20 = x
There are 20 exhibits in total.
HELP! WILL GIVE BRAINLEST! On the unit circle, an arc of length 2 subtends an angle, β. What is the radian measure of β?
Answer:
2 rad
Step-by-step explanation:
Given :
arc length = 2 mradius of a unit circle = 1 mFormula
l = rβ⇒ β = l/rSolving for β
β = 2/1β = 2 radgift card for 25 dollars 4 dollars per pair 5 dollars off
Answer:
i dont know but i will try
Step-by-step explanation:
example
34 dolars look i have answer
1. Carol jogged 13 miles on 5 days last week.
She jogged 22 miles on 4 days this week.
Was her total distance greater last week or
this week? How much greater? Explain.
Kiwi fruit contains roughly two and a half times as much vitamin C as the same weight of oranges.
What weight of kiwi fruit contains approximately the same amount of Vitamin C as 1kg of oranges
Using proportions, it is found that 400g = 0.4kg of kiwi fruit contains approximately the same amount of Vitamin C as 1kg of oranges.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Kiwi fruit contains roughly two and a half times as much vitamin C as the same weight of oranges. Hence, if there is 1 kg = 1000g of oranges, the weight of kiwi fruit is given by:
1000/2.5 = 400g = 0.4kg.
More can be learned about proportions at https://brainly.com/question/24372153
Find the equation of the line shown
Answer:
that would be 1/1 or just 1 as your equation of the line.
Step-by-step explanation:
you find this by taking one part of the grid where a line perfectly intersects 2 parts, and you count to the next spot where this happens, in this case would be to the right 1 and up one, making the slope 1/1 which you can simplify into 1. and slope works like y/x, which y is the up and down movement while x is the side to side.
Answer:
y = x + 6
Step-by-step explanation:
two points are;
(0 , 6) & (4 , 10)
The slope: [tex]\frac{10-6}{4-0} =\frac{4}{4} =1[/tex]
The equation:
[tex]y-10=1(x-4)[/tex]
[tex]y-10=x-4[/tex]
[tex]y=x-4+10[/tex]
[tex]y=x+6[/tex]
Hope this helps
You know that the current exchange rate for us dollars (usd) to indian rupees (inr) is 1:45.85, that the exchange rate for indian rupees to bangladeshi taka (bdt) is 1:1.507, and that the exchange rate for bangladeshi taka to myanma kyat (mmk) at a rate of 1:0.0928. which of the following equations is set up properly to calculate the exchange rate from us dollars to myanma kyat? a. (1 u s d) times startfraction (1 u s d) over (45.85 i n r) endfraction times startfraction (1 i n r) over (1.507 b d t) endfraction times startfraction (1 b d t) over (0.0928 m m k) endfraction = (x m m k). b. (1 u s d) times startfraction (45.85 i n r) over (1 u s d) endfraction times startfraction (1.507 b d t) over (45.85 i n r) endfraction times startfraction (0.0928 m m k) over (1.507 b d t) endfraction = (x m m k). c. (1 u s d) times startfraction (45.85 i n r) over (1 u s d) endfraction times startfraction (1.507 b d t) over (1 i n r) endfraction times startfraction (0.0928 m m k) over (1 b d t) endfraction = (x m m k). d. (1 u s d) times startfraction (1 u s d) over (45.85 i n r) endfraction times startfraction (45.85 i n r) over (1.507 b d t) endfraction times startfraction (1.507 b d t) over (0.0928 m m k) endfraction = (x m m k).
The exchange rate from US dollars to Myanma Kyat is given as:
1 : (45.85 × 1.507) × (0.0928) (Option C).
What is an exchange rate?
The rate at which one currency is converted to another is what is referred to as Exchange Rate.
Recall that the following is given from the question:
Step One - Convert from USD to BDT
This gives us 1 : (45.85 × 1.507); Hence, the rate from BDT to MMK is 1 : 0.0928
Step Two: - Ascertain the current rate for USD to MMK
This gives us - 1 : (45.85 × 1.507) × (0.0928). To get a simplified version. One would have to open the brackets.
However, from the above, it is clear that the correct answer is Option C.
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What is the missing term?
Find the surface area of the figure. Be sure to show all of your work and steps in solving
for your answer.
Please show me the steps and solutions not just answers pls pls pls help me, tysm!!
The surface area of the figure which comprises two rectangular prisms is: 328 in.²
What is the Surface Area of a Rectangular Prism?Surface area = 2(wl+hl+hw)
Decompose the given figure into two.
Surface area of the figure = surface area of the top rectangular prism + surface area of the bottom rectangular prism - 2(area of base of the top rectangular prism)
Surface area of top rectangular prism:
l = 6 in.
w = 4 in.
h = 5 in.
Surface area = 2(wl+hl+hw) = 2(4×6 + 5×6 + 5×4) = 148 in.²
Surface area of bottom rectangular prism:
l = 6 in.
w = 9 in.
h = 4 in.
Surface area = 2(wl+hl+hw) = 2(9×6 + 4×6 + 4×9) = 228 in.²
Area of base of the top rectangular prism:
Area = (l)(w) = (6)(4) = 24 in.²
Surface area of the figure = 148 + 228 - 2(24)
Surface area of the figure = 328 in.²
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please help if you can xx
Answer:
Below in bold.
Step-by-step explanation:
The angle in a regular octagon = 180 - (360/8) = 135.
Using trigonometry sin (135/2) = k/2 / EF
sin 67.5 = k / 2EF
2EF = k / sin 67.5
EF = k / 2 sin 67.5 = k/1.8478
Perimeter of octagon = 8 * k/1.8478
= 4.33k to the nearest hundredth.
I need help with this assignment, please help
Answer:
A
Step-by-step explanation:
We need to first find the number of dice rolls. The amount of dice rolls equals 8+9+5+15+2+11=50. And 8 out of thouse 50 were ones, so 8 out of 50 rolls is also 4 out of 25 rolls.
Traingle Congruence, FlowChart Proof Level2, 10th Grade
Answer:
Step-by-step explanation:
→1.
Statement : AB ≅AD (side)
Reason: Given
→2.
Statement : ∡BAC≅∡CAD (angle)
Reason: Given
→3.
Statement : AC ≅AC (side)
Reason: Reflexive Property -a side is congruent with itself
→
Statement : ΔABC ≅ΔADC
Reason: Side-Angle-Side Theorem of Congruency
(If two corresponding sides of two triangles are congruent and the corresponding angles between those two sides are congruent then the two triangles are congruent)
The diagram shows the curve with equation y = ( 1 + x ) cosx.
Complete the table below for points on the curve, giving the y values correct to 3 decimal places where appropriate.
Answer:
y = 1, 1.319, 1.024, 0
Step-by-step explanation:
Given equation:
[tex]y=(1+x)\cos x[/tex]
[tex]\textsf{when}\:x=0:[/tex]
[tex]\begin{aligned} \implies y & =(1+0)\cos 0\\\implies y & = 1\end{aligned}[/tex]
[tex]\textsf{when}\:x=\dfrac{\pi}{6}:[/tex]
[tex]\begin{aligned} \implies y & =\left(1+\frac{\pi}{6}\right)\cos \left(\frac{\pi}{6}\right)\\\implies y & = 1.319\: \sf (3\:dp)\end{aligned}[/tex]
[tex]\textsf{when}\:x=\dfrac{\pi}{3}:[/tex]
[tex]\begin{aligned} \implies y & =\left(1+\frac{\pi}{3}\right)\cos \left(\frac{\pi}{3}\right)\\\implies y & = 1.024\: \sf (3\:dp)\end{aligned}[/tex]
[tex]\textsf{when}\:x=\dfrac{\pi}{2}:[/tex]
[tex]\begin{aligned} \implies y & =\left(1+\frac{\pi}{2}\right)\cos \left(\frac{\pi}{2}\right)\\\implies y & = 0\end{aligned}[/tex]
You have $5,000 to invest for ten years. Crown of The Sun bank pays compound interest at an annual rate of 4.5%. Calculate your balance after 10 years. Round to the nearest hundreth
Answer: $7,764.85
Step-by-step explanation:
Use the formula for Compound Interest: CI = P(1 + r/n)^nt
CI = 5000(1 + 0.045/1)^10
CI = 5000(1.045)^10
CI ≅ $7,764.85
After 10 years, the balance should be $7,764.85
Answer:
$7764.85
Step-by-step explanation:
Assume the compounding is annual.
F = P(1 + r/n)^(nt)
F = 5000(1 + 0.045/1)^10
F = 7764.85
Answer: $7764.85
Pls help quick
the
A garden store bought a fountain at a cost of $995. 66 and marked it up 100%. Later on,
store marked it down 25%. What was the discount price?
hope it really helps......!!!!!
10 identical copies of a movie will be stored on 40 computers such that each computer has at most 1 copy. How many different ways can the 10 copies be stored
We will see that there are 847,660,528 different ways in which the copies can be stored.
In how many ways can the 10 copies be stored?
So, we know that the copies can be stored in any of 40 computers, such that each computer can get, at most, one copy.
Then what we need to do is find how many different combinations of 10 computers can we make with the set of 40 computers, this is given by using the combination formula:
[tex]C(40, 10) = \frac{40!}{(40 - 10)!*10!} = \frac{40*39*38*37*36*35*34*33*32*31}{10*9*8*7*6*5*4*3*2} = 847,660,528[/tex]
This means that the 10 computes can be selected in 847,660,528 different ways, so there are 847,660,528 different ways in which the copies can be stored.
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A bookshelf contains 9 mysteries and 7 biographies books. A book is randomly selected and not replaced.
What is the probability that the first book is mystery and the second is the biography?
Answer:
The answer is 7/30
Step-by-step explanation:
According to counting rules, we use permutation when we want to choose successively and without replacement, as given in this problem
Rule of permutation: nPr = n! /(n-r)!
where: n:objects and r:sample
n of mysteries=9 ; r of mysteries=1 ; ⇒ 9P1
n of biographies=7 ; r of biographies=1 ; ⇒ 7P1
n of total books=9+7=15 ; r of total books=2 ; ⇒15P2
Probability=( 9P1 x 7P1 ) / 15P2 = 49/210 = 7/30
Hope this helps :)
solve the inequality; x2-x-2>0
Answer:
x > 2/3
Step-by-step explanation:
2x -x - 2 > 0
add 2x and x (It becomes 3x)
3x -2 >0
subtract 0 from both sides
3x> 2
divide 3 on both sides
And the answer is
X> 2/3
Find the surface area of the prism:
Answer: the prism has a surface area with 920
Goal: Gather and organize statistical data in frequency distribution table.
Role: Statistician, Data Analyst
Audience: Math Teacher, Adviser
Situation: Your Math Teacher asked your class to conduct a simple survey to
determine the number of learners who are using gadgets in your school.
Product/ Performance:
You were asked to look for at least 15 individuals among your friends within
your school and construct a frequency distribution table on each category:
A. gender
B. preferred distance learning modality (online, modular, blended)
C. available gadget used in distance learning (smartphone, laptop,
tablet, desktop, or none)
I'm looking for a serious answer. I need to pass this on monday. Thank you.
Frequency distribution tables are a tool for organizing data and obtaining additional information.
What is the frequency distribution?The frequency distribution is a term to refer to a type of tables that are used in the area of statistics to organize data.
In the frequency distribution tables, the different variables are arranged by rows. The columns show the number of occurrences for each value, percentages, among others. These types of tables are an ideal tool to analyze data and obtain specific information.
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