Answer:
Ok, we know that the driving accuracy is of 71%.
Then the first step is to get a spinner that is enumerated from 1 to 100 (in such way that each number is equispaced)
Now, we can mark a section between numbers 1 and 71. (this regio represents the cases where the shot lands in the fairway) and the unmarked region represents the cases where the shot does not land in the fairway.
Now, for each shot, we can spin our spinner next to a fixed pencil, depending on the section of the spinner that is marked by the pencil when the spinner fully stops, we can guess if the shot landed or not in the fairway.
In this way the shot has the region from 1 to 71 (71%) to land in the fairway
and the region from 72 to 100 to not land in the fairway.
If you want to simulate Sorenstam’s performance in a round of golf where she attempts 15 drives, you need to spin the spinner 15 times, and record the oucomes.
This is a very hard math question. Whoever answers correctly will get a brainlist too! Find the value of b. Then find the angle measures of the pentagon.
Answer:
Below
Step-by-step explanation:
The sum of the 5 angles is 540°
● b+(b+45)+90+(2b-90)+(3/2)b = 540
3/2 is 1.5
● b+b+45+90+2b-90+1.5b = 540
● 2b +45+2b+1.5b = 540
● 5.5 b +45 = 540
● 5.5b = 495
● b = 495/5.5
● b = 90°
Answer:
b = 90
Step-by-step explanation:
b + (b + 45) + 90 + (2b - 90) + (3/2)b = 540
b + b + 45 + 90 + 2b - 90 + (3/2)b - 90 = 540 - 90
b + b + 45 + 2b - 90 + (3/2)b = 450
2b + 2b + (45 * 2) + (2 *2b) - (90 * 2) + (2 * (3/2)b) = 450 * 2
2b + 2b + 90 + 4b - 180 + 3b = 900
11b - 90 = 900
11b - 90 + 90 = 900 + 90
11b = 990
b = 990 / 11
b = 90
check:
b + (b + 45) + 90 + (2b - 90) + (3/2)b = 540
90 + (90 + 45) + 90 + (2*90 - 90) + (3/2)*90 = 540
90 + 135 + 90 + 90 + 135 = 540
540 = 540 --- OK
If a person invests $250 at 9% annual interest, find the approximate value of the investment at the end of 15 years
Answer:
The end balance is $910.62 and the total interest $660.62. (That is without tax or inflation rate) I hope this helps.
Step-by-step explanation:
Answer:
without tax: interest total=$660.62
Step-by-step explanation:
I multiplied...
-5(-x - 1) + 4x – 1= 49
solve for x
Answer:
x=5
Step-by-step explanation:
-5(-x - 1) + 4x – 1= 49
Distribute
5x +5 +4x -1 = 49
Combine like terms
9x +4 = 49
Subtract 4 from each side
9x+4-4 = 49-4
9x = 45
Divide by 9
9x/9 =45/9
x = 5
Answer:
[tex]\huge \boxed{x=5}[/tex]
Step-by-step explanation:
[tex]{\Large -5(-x - 1) + 4x -1= 49}[/tex]
Expand brackets.
[tex]5x+5+ 4x -1= 49[/tex]
Combine like terms.
[tex]9x+4=49[/tex]
Subtract 4 from both sides.
[tex]9x+4-4=49-4[/tex]
[tex]9x=45[/tex]
Divide both sides by 9.
[tex]\displaystyle \frac{9x}{9} =\frac{45}{9}[/tex]
[tex]x=5[/tex]
The volume of a sphere whose diameter is 18 centimeters is π cubic centimeters. If its diameter were reduced by half, its volume would be of its original volume.
Answer:
3053.5517 cm^3 ; 1/8
Step-by-step explanation:
Given the following :
Volume (V) of sphere = (4/3)πr^3 where r = radius
Diameter of sphere = 18 ; radius(r) = diameter / 2 = 18/2 = 9cm
V = (4/3) × π × 9^3
V = 1.3333 × π × 729
V = 3053.5517 cm^3
When diameter(d) is reduced to half
d = d/2
Volume (V1) of sphere with diameter 'd' =
V1 = (4/3)π(d/2)^3
Volume (V2) of sphere with diameter 'd' reduced to half, d = d/2, d/2 * 1/2 = d/4
V2 = (4/3)π(d/4)^3
V1 / V2 = [(4/3)π(d/2)^3] / [(4/3)π(d/4)^3]
V1 / V2 = (d/2)^3 / (d/4)^3
V1 / V2 = [d^3 / 2^3] / [d^3 / 4^3]
V1 / V2 = 8 / 64
V1 / V2 = 1 / 8
Answer:
first blank is 972
second blank is 1/8
yup
Step-by-step explanation:
A soma de dois números consecutivos é 11, qual expressão algébrica representa este contexto? * 1 ponto a) X + X + 1 = 11 b) X + X = 11 c) X + X – 1 = 11 d) X + 1 = 11
Answer:
a) X + X + 1 = 11
Step-by-step explanation:
Em matemática, a soma de consecutivos é expressa matematicamente como:
X + (X + 1) + (X + 2) + (X + 3) .............
Na pergunta acima, somos solicitados a encontrar a expressão algébrica que indica que a soma de DOIS inteiros consecutivos é igual a 11
Portanto, esta expressão algébrica é dada como:
X + (X + 1) = 11
X + X + 1 = 11
Portanto, a opção a) X + X + 1 = 11 é a opção correta
9/2 divided by 1/4= ? in simplest form
Answer: 18
Do Keep Change Flip (KCF)
Keep: 9/2
Change: ÷ into ×
Flip: 1/4 into 4/1
Your new problem should be 9/2×4/1
Multiply
9/2×4/1=36/2
36/2=18
Final Answer: 18
Please answer this question now
Answer:
94 degrees
Step-by-step explanation:
Measure of arc BCD = 53+135 = 188 degrees.
Measure of angle A = 188/2 = 94 degrees
Answer:
50
Step-by-step explanation:
Find the 2nd term in the sequence. Will give Brainliest.
Answer:
17
Step-by-step explanation:
b(1) = 16
b(2) = b(2-1) +1
= b(1) +1
= 16+1
= 17
solve for x 7(3-x) = 8(4-2x)
Answer:
x = 11/9
Step-by-step explanation:
Eliminate parentheses, add 16x, subtract 21.
7(3 -x) = 8(4 -2x) . . . . given
21 -7x = 32 -16x . . . . . eliminate parentheses using the distributive property
9x +21 = 32 . . . . . . . . add 16x
9x = 11 . . . . . . . . . . . . subtract 21
x = 11/9 . . . . . . . . . . . .divide by the coefficient of x
Maria is buying new carpet for her bedroom .Her bedroom is in the shape of a square and the length of each side is 12 feet write and simplify an exponential express to find how much carpet she needs.
Answer:
well just do area, and since it's the same in each side 12×4= 144
How would I simplify 14.8+6.25+0.97
Answer:
22.02
Step-by-step explanation:
14.8+6.25+0.97 is 22.02
don't know what you mean by simplify
A video rental company offers a plan that includes a membership fee of $7 and charges $1 for every DVD borrowed. They also offer a second plan, that costs $29 per month for unlimited DVD rentals. If a customer borrows enough DVDs in a month, the two plans cost the same amount. How many DVDs is that? What is that total cost of either plan? If a customer rents ___ DVDs, each option costs $___.
If a customer rents 22 DVDs, each option costs $29
This only applies to one month.
=================================================
Work Shown:
x = number of DVDs borrowed
y = total cost
Plan A has a cost of x+7 dollars since x represents the cost of renting the x DVDs plus the membership fee of $7. We can say y = x+7.
Plan B has a fixed cost of $29 per month, so y = 29. There is no x here to worry about as the cost is the same no matter how many DVDs you rent.
y = x+7 and y = 29 are dealing with the same y value. We can use substitution to solve for x
----------------
y = 29 ... start with second equation
x+7 = 29 .... replace y with x+7 (valid because y = x+7)
x+7-7 = 29-7 ... subtract 7 from both sides
x = 22
If the customer rents 22 DVDs, then plan A will charge y = x+7 = 22+7 = 29 dollars, which is the same as the flat rate cost plan B charges.
If the customer rents more than 22 DVDs per month, then its smarter to go with plan B (since plan A's cost will be larger). Otherwise, go for plan A.
----------------
In terms of a graph, you can graph both y = x+7 and y = 29 together on the same xy axis. The line y = x+7 goes through (0,7) and (1,8). The line y = 29 goes through (0,29) and (1,29). Both lines intersect at (22,29) to indicate that x = 22 and y = 29 pair up together.
A combination lock uses three numbers between 1 and 46 with repetition, and they must be selected in the correct sequence. Is the name of "combination lock" appropriate? Why or why not? Choose the correct answer below. A. No, because the multiplication counting rule would be used to determine the total number of combinations. B. Yes, because the combinations rule would be used to determine the total number of combinations. C. No, because factorials would be used to determine the total number of combinations. D. No, because the permutations rule would be used to determine the total number of combinations.
The correct answer is D. No because the permutations rule would be used to determine the total number of combinations.
Explanation:
The difference between a combination and a permutation is that in permutations the order is considered. This applies to the numbers in a lock because these need to be in order. Therefore, to analyze the permutations in a lock, the rule for permutations should be used. This includes the general formula P (n,r) =[tex]\frac{n!}{(n-r) !}[/tex]; in this, n is the number of objects and r refers to the objects used in a permutation. Thus, the term "combination" is inappropriate because this is a permutation, and the permutation rule should be used.
* Graph these numbers on a number line.
-5,3, -2,1
-5
-5,3,-2,1 on a number line
<-|----|----|----|----|----|----|----|----|->
-5 -2 0 1 3
A power failure on the bridge of a Great Lakes freighter has resulted in the ship's navigator having to do her own calculations. She measures the angle between the ship's course and a lighthouse on shore as 32°. After the ship has travelled 1500 m, she measures the angle to be 72°. Determine if the ship was closer to or farther from the lighthouse at the second sighting, and by what distance. (4 marks)
It is impossible to measure the length of a particular swamp directly. Kendra put a stake in the ground and measured from the stake to opposite ends of the swamp, the results being 410 m and 805 m. She measured the angle between the distances to be 57°. What is the length of the swamp? (4 marks)
Answer:
1) The ship is closer
2) 675.73 m
Step-by-step explanation:
1) The given parameters are;
The initial angle between the ship's course and the lighthouse = 32°
The final angle between the ship's course and the lighthouse = 72°
The distance traveled by the sip between he two positions = 1500 m
Therefore we have a triangle formed between the distance covered by the ship and the two distances of the ship from the lighthouse, a and b
Where;
a = The initial distance fro the lighthouse
b = The final distance fro the lighthouse
The angles of the triangle are
32°, (180 - 72) = 108° and 180 - 32 - 108 = 40°
By sine rule we have;
1500/(sin(40)) = a/(sin(108)) = b/(sin(32)) =
Therefore, a = sin(108°) × 1500/(sin(40°)) = 2219.37 m
b = (sin(32°)) × 1500/(sin(40°)) = 1236.61 m
Therefore, a > b
The initial distance fro the lighthouse > The final distance fro the lighthouse, which shows that the ship is closer
2) By cosine rule we have
a² = b² + c² - 2× b×c×cos(A)
Where the given measurements by Kendra are;
410 m and 805 m with an included (in between) angle of 57°, we have;
Let b = 410 m, c = 805 m, and A = 57°, we have;
a² = 410^2 + 805^2 - 2× 410×805×cos(57 degrees) = 456608.77 m²
a = The length of the stream = 675.73 m.
If I get 20 pound a day how much do i make in a month
Answer:
£600
Step-by-step explanation:
1 months= 30 days
here,
money made in 1 day= £20
now,
money made in 30 days= 20×30
= 600
[:• In one month you earn £600]
Answer:560 pounds
Step-by-step explanation:
If 1 day is equal to 20 pounds, to find how much pounds will you have a month, first check how many days are there in a month. Then multiply the number of days in a month to the given pound in one day.
So =1 month = 28 days
=1 day = 20 pounds
So= 20 pounds × 28 = 560 pounds
An octagonal pyramid ... how many faces does it have, how many vertices and how many edges? A triangular prism ... how many faces does it have, how many vertices and how many edges? a triangular pyramid ... how many faces does it have, how many vertices and how many edges?
1: 8 faces and 9 with the base 9 vertices and 16 edges
2: 3 faces and 5 with the bases 6 vertices and 9 edges
3: 3 faces and 4 with the base 4 vertices and 6 edges
Hope this can help you.
Answer:
1: 8 faces and 9 with the base 9 vertices and 16 edges
2: 3 faces and 5 with the bases 6 vertices and 9 edges
3: 3 faces and 4 with the base 4 vertices and 6 edges
Step-by-step explanation:
The Muller family are on holiday in New Zealand. a. They change some euros (€) and receive $1962 (New Zealand dollars). The exchange rate is €1 = $1.635. Calculate the number of euros they change. [3] b. The family spend 15% of their New Zealand dollars on a tour. Calculate the number of dollars they have left. [4]
Answer:
a. €1200;$1667.70
Step-by-step explanation:
a. Number of euros
[tex]\text{euros} = \$1962 \times \dfrac{\text{1 euro}}{\text{\$1.635}} = \textbf{1200 euros}[/tex]
b. Dollars remaining
Dollars on hand = $1962.00
Less 15 % spent = 0.15 × 1962 = -294.30
Balance remaining = $1667.70
How to do this question plz answer me step by step plzz plz
Answer:
[tex] \boxed{\sf Perimeter \ of \ semicircle = 3 \pi \ cm} [/tex]
Given:
Radius of semicircle (r) = 3 cm
Step-by-step explanation:
[tex]\sf Perimeter \ of \ semicircle = \pi r [/tex]
[tex] \sf = 3 \pi \: cm[/tex]
Plzz solve this for me... The Question is to simplify this.
Answer:
[tex] \boxed{ \frac{ \sqrt{3} }{2} }[/tex]Step-by-step explanation:
[tex] \frac{2 \sqrt{3} }{3} - \frac{ \sqrt{3} }{6} [/tex]
Expand the fraction to get the Least common denominator
[tex] \mathsf{ = \frac{2 \times 2 \sqrt{3} }{2 \times 3} - \frac{ \sqrt{3} }{6} }[/tex]
Multiply the numbers
[tex] \mathsf{ = \frac{4 \sqrt{3} }{6} - \frac{ \sqrt{3} }{6} }[/tex]
Write all numerators above the common denominator
[tex] \mathsf{ = \frac{4 \sqrt{3} - \sqrt{3} }{6} }[/tex]
Collect like terms
[tex] \mathsf{ = \frac{3 \sqrt{3} }{6} }[/tex]
Reduce the fractions with 3
[tex] \mathsf{ = \frac{ \sqrt{3} }{2} }[/tex]
Hope I helped!
Best regards!
If a person invests $120 at 8% annual interest, find the approximate value of the investment at the end of 5 years. A. $164 B. $180 C. $401 D. $176
Answer:
[tex]\large \boxed{\sf \bf \ \ \ D. \ \$ 176 \ \ }[/tex]
Step-by-step explanation:
Hello, please consider the following.
After 5 years, we will get
[tex]120*(1+8\%)*(1+8\%)*(1+8\%)*(1+8\%)*(1+8\%)\\\\=120*(1+8\%)^5\\\\=120\cdot 1.08^5\\\\= 176.3193...[/tex]
Thank you
Jayde is wrapping a cube shape present that is 14 inches tall. How much wrapping paper will be needed to wrap the whole present?
Answer:
1176in^2
Step-by-step explanation:
find the surface area of the cube
(14*14)6=1176 inches cubed
14*14 is finding the area of one side and then we multiply it by six because that's how many congruent sides there are
Answer:
[tex]\large\boxed{1,176 in^{2} }[/tex]
Step-by-step explanation:
The cube is 14 inches tall
All of the sides in a cube are the same, which means:
Length = 14 inches
Width = 14 inches
Height = 14 inches
There are 6 sides in a cube. Each side has a length and a width.
We can use the following formula to find the surface area (SA) of the cube, or how much wrapping paper Jayde will use.
SA = # of Sides(Length(Width))
Plug in known values
SA = 6((14)(14))
The 14s represent the length and width while the 6 represents the number of sides in the cube.
Solve/Simplify
SA = 6(196)
SA = 1,176 inches²
Jayde will need to use 1,176 in² of wrapping paper to wrap the whole present.
Hope this helps :)
round 12.1975 to the nearest thousandth.
Answer:
12.198
Step-by-step explanation:
the thousandth is the third digit after the decimal point, so you round the next number after it, which is 5. so you round it up, ends with 12.198
We get 12.198 after rounding it to the nearest thousandth.
How to round off decimal places?The rounding off decimal places is similar to the basic round-off. We check the previous number. If it is greater than or equal to 5, we increase the value up to which we are rounding by 1, or else keep it the same when the previous digit is less than 5.
The order of digits for decimal places is opposite to the normal number system.
In the number system we have units place, then tens place, then hundreds place, then thousands place, and like that.
In the decimal number system, we start from the highest and go on decreasing.
The first decimal place is the tenth place.
The second decimal place is the hundredth place.
The third decimal place is the thousandth place.
And so on.
How to solve the question?In the question, we are asked to round 12.1975 to the nearest thousandth.
As discussed above, the nearest thousandth means rounding off up to the third decimal place.
So we round off 12.1975 up to the third decimal place, that is, we round off up to 7.
The next digit is 5, so we increase 7 by 1 to 8.
Thus, we get 12.198 after rounding it to the nearest thousandth.
Learn more about rounding off decimal places at
https://brainly.com/question/21583892
#SPJ2
What is the y−intercept of the line that passes through the point (4,9)and is parallel to the line y=12x+2?
Answer:
y- intercept = - 39
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 12x + 2 ← is in slope- intercept form
with slope m = 12
Parallel lines have equal slopes, thus
y = mx + c ← is the partial equation
To find c substitute (4, 9) into the partial equation
9 = 48 + c ⇒ c = 9 - 48 = - 39 ← y- intercept
Answer:
y-intercept = -39
Step-by-step explanation:
if two lines are parallel it means they have the same gradient so we compare the equation given to the default equation of a line
y=mx+c
y=12x+2
comparing we have the gradient m=12 now finding the equation of the line parallel to the given line we use
y-y1=m(x-x1)
y1=9 and x1=4
y-9=12(x-4)
y-9=12x-48
y=2x-48+9
y=2x-39
comparing to the default equation of a line y=mx+c where c is the y-intercept
therefore the y-intercept is -39
A cook uses fifteen 2litter bottles of cooking oil in a week. If he decides to buy 5 litter tins of cooking oil instead how many tins of cooking oil will he use over a 10 week period if the rate at which he uses it remains unchanged.
Answer:
300 liters
Step-by-step explanation:
If he uses 15, 2 liter bottles in a week,
then 15 * 2 = 30 liters in a week.
If he uses the same rate in 10 weeks then,
10 * 30 = 300 liters
Melissa put her $500 In a savings account that earns 4% interest compounded annually. How much will be in the account after 3 years? Round your answer to the nearest hundredth
Work Shown:
A = P*(1+r/n)^(nt)
A = 500*(1+0.04/1)^(1*3)
A = 562.432
A = 562.43
Answer: $562.43
Step-by-step explanation:
The initial start up amount is 500 and we want to expressed this as an exponential function. So since we know the initial value we need to find the rate of change. So if you earn 4% interest you are earning 4% percent more on top the actual 100%.
So 100% + 4 % = 104% = 1.04
The common difference is 1.04.
so 500 * 1.04^n= A where n is the number of years and A is the total amount.
A = 500 * [tex]1.04^{3}[/tex]
A= 562.43
factorise 9a^2-b^2??
━━━━━━━☆☆━━━━━━━
▹ Answer
3² * a² - b²
▹ Step-by-Step Explanation
9a² - b²
Break down each coefficient and variable:
9 = 3²
a² = a²
b² = b²
Combine everything together:
3² * a² - b²
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Answer:
Since both terms are perfect squares, factor using the difference of squares formula, a^2-b^2=[a+b][a-b] where a=3a and b=b
a) Simplify the expression and explain each step. (2 points)
4(3x+2) -2
= ?
Answer:
6 (2 x + 1)
Step-by-step explanation:
Simplify the following:
4 (3 x + 2) - 2
Hint: | Distribute 4 over 3 x + 2.
4 (3 x + 2) = 12 x + 8:
12 x + 8 - 2
Hint: | Group like terms in 8 + 12 x - 2.
Grouping like terms, 8 + 12 x - 2 = 12 x + (8 - 2):
12 x + (8 - 2)
Hint: | Subtract 2 from 8.
8 - 2 = 6:
12 x + 6
Hint: | Factor out the greatest common divisor of the coefficients of 12 x + 6.
Factor 6 out of 12 x + 6:
Answer: 6 (2 x + 1)
what is the perimeter of rhombus ABCD ?
Answer:
20
Step-by-step explanation:
Since you can use the Pythagorean theorem to calculate the length of the hypotenuse, each side can be found to be 5. There are four equal sides, so it is 20.
help me plz plz....
Answer:
4775.9 [tex]cm^3[/tex]
Step-by-step explanation:
To find the volume of a cone use the expression [tex]\pi r^2\frac{h}{3}[/tex]
r = radius
h = height
Now substitute h for 27 and r for 13, [tex]\pi 13^2\frac{27}{3}[/tex]
First do 13 x 13 (because of the exponent), then divide 27 and 3, which is 9
169 x 9 = 1521
Lastly multiply by pi or use 3.14
1521 x 3.14 = 4775.94
Since it asks to round to the tenth it is just 4775.9
Answer:
4778.4 cm^3
Step-by-step explanation:
The formula for the volume of a cone is [tex]V=\pi r^2\frac{h}{3} \\[/tex].
In this case, the height is 27 and the radius is 13, so we plug in the values and get [tex]V = \pi (13)^2 \frac{27}{3}\\[/tex].
We solve and get the volume of the cone as [tex]1521\pi[/tex] or 4778.4 cm^3.
