The radius of a circle is 17 in. Find its area in terms of π.
A≈907.92in²
Because:
A=πr2=π·172≈907.92028in²
Answer:
289π or 907.46 in
Step-by-step explanation:
The formula for area of a circle is π r².
The radius is 17, so the first step is 17².
17²= 289
Next, you multiply 289 by pi (3.14).
3.14 x 289 = 907.46.
Therefore, the area in terms of pi is 289π or 907.46 in.
Prove that \displaystyle \frac{\cos \theta}{1 + \sin \theta} = \frac{1 - \sin \theta}{\cos \theta}
1+sinθ
cosθ
=
cosθ
1−sinθ
Answer:
sin^2(θ)+cos^2(θ)=1
Step-by-step explanation:
We know that the statement above is true because of the Pythagorean identity theorem, which states the aforementioned equation. If you solve the equation for 1 you get the same equation.
To do this first multiply both sides by cos(θ), this gives you (cos^2θ)/1+sinθ = 1-sinθ
Then, multiply both sides by sinθ. This equals cos^θ=1-sin^2θ.
Finally, add sin^2θ to both sides. This equals the final answer of cos^2θ+sin^2θ=1. Which is true.
Hope it helps.
If you have any query, feel free to ask.
what is Q + 5.3 = 5.4
The cost to rent a tuxedo is a flat charge of $60 plus $5 for every one possession. If Gary spends $95, how many hours was the tuxedo in his possession? How much will he spend if he keeps it for 24 hours? Write an equation in order to find your answer and write to explain your thinking.
Answer:
Tehhehheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
A state that has license plates with 2 letters, followed by 4 digits.
Factorice lo siguiente
5
Answer:
61
Step-by-step explanation:
marque esta respuesta como la más inteligente
if 5 bags of sugar with equal weight weigh 35 kg, how many bags of sugar would weigh 56 kg?
Answer:
8 bags
Step-by-step explanation:
If 5 bags equal 35 kg, then each bag will weigh 35/5 or 7 kg. If there are 56 kg and you want to find the number of bags, you divide 56 by 7 and you get 8.
Brianna can rent a scooter for $15.00 plus $0.50 per mile.
Question 1
Part A
Write an equation in which t is the cost to rent a scooter and m is the number of miles she rode the scooter.
Enter the correct answer in the box.
Answer:
you can say y=0.50m+15t
Factorize this question
Answer: (3a+5b)(3a−5b)(a+b)(a−b)
Step-by-step explanation:
Factor 9a4−34a2b2+25b4
9a4−34a2b2+25b4
=(3a+5b)(3a−5b)(a+b)(a−b)
Ismael uses Cavalieri's principle to show that the cylinder and rectangular prism
have the same volume.
350
The base of the rectangular prism is 3.5 feet long. How wide is the base of the
prism?
Answer:
I think 48
Step-by-step explanation:
by adding
A certain flight requires 3/8 of an hour if the plane has been flying for 1/4 of an hour what fraction of an hour remains before landing
Yahoo in Sunnyville currently has a staff of 6,200 employees. Next month, Yahoo will decrease it’s staff by 8%. How many people will be employed by Yahoo next month?
Answer:
89
Step-by-step explanation:
PLZ HELP I GIVE FIRST PERSON BRAINLIEST!!!!!
DO AS MANY AS YOU WANT
Answer:
Trapezoid area:
A = 1/2(a + b)h, where a, b - bases , h - height17. a)a = RS = 4 unitsb = AT = 8 unitsh = 8 units, the distance between RS and ATA = 1/2(4 + 8)*8 = 48 units²
17. b)a = SK = 4 unitsb = OC = 10 unitsh = SO = 6 unitsA = 1/2(4 + 10)*6 = 42 units²
18. a)a = ME = 6 unitsb = AZ = 10 unitsh = MA = 8 unitsA = 1/2(6 + 10)*8 = 64 units²
Area of trapezoid:
Line RS: 2x2 = 4 units (first base)
Line TA: 4x2 = 8 units (second base)
The height (aka that x-axis inside shape): 4x2 = 8 units (h)
Area formula: (4 + 8)8 ÷ 2
= (4 + 8)8 ÷ 2
= 12(8) ÷ 2
= 96 ÷ 2
ANSWER = 48 sq. units
____________________________________________________________
Area of trapezoid:
Line SK: 2x2 = 4 units (first base)
Line OC: 5x2 = 10 units (second base)
Line SO (height): 3x2 = 6 units (h)
Area formula: (b1 + b2)h ÷ 2
= (4 + 10)6 ÷ 2
= 14(6) ÷ 2
= 84 ÷ 2
ANSWER = 42 sq. units
____________________________________________________________
Area of trapezoid:
Line ME: 6 units (first base)
Line AZ: 10 units (second base)
Line MA (height): 8 units (h)
Area formula: (b1 + b2)h ÷ 2
= (6 + 10)8 ÷ 2
= (16)8 ÷ 2
= 128 ÷ 2
= 64
ANSWER = 64 sq. units
A circle has a diameter of 8 cm. What is the circumference? Round to
the nearest hundredth.
Answer:
C≈25.13cm
Step-by-step explanation:
C=πd=π·8≈25.13274cm
d=2r
C=2πr
(hope this helps)
Step-by-step explanation:
area of a cicle is π[tex]r^{2}[/tex]
the diameter is twice as long as the radius so the radius would have a length of 4 cm.
π[tex]4^{2}[/tex]=50.27
Hope that helps :)
In the figure shown, GD = 3x + 5, GF = 6x-4, and G is the incenter of AABC. Find GE
Answer:
GE = 14
Step-by-step explanation:
The incenter is equidistant from the sides, so GD = GE = GF.
Set the expressions for GD and GF equal to each other and solve for x.
3x + 5 = 6x - 4
5 = 3x - 4
9 = 3x
3 = x
Now plug this value into either expression, say for GD. GD = 3(3) + 5 = 14.
GE must be the same, GE = 14
7/3 + x=3;x math I really need help
Given:
The equation is:
[tex]\dfrac{7}{3}+x=3[/tex]
To find:
The value of x.
Solution:
We have,
[tex]\dfrac{7}{3}+x=3[/tex]
Subtract both sides by [tex]\dfrac{7}{3}[/tex].
[tex]\dfrac{7}{3}+x-\dfrac{7}{3}=3-\dfrac{7}{3}[/tex]
[tex]x=\dfrac{9-7}{3}[/tex]
[tex]x=\dfrac{2}{3}[/tex]
Therefore, the value of x is [tex]\dfrac{2}{3}[/tex] or it can be written as 0.667.
What is the least common denominator for the fractions below? 2/6 * 1/5
Answer:
1/15
Step-by-step explanation:
2/6 x 1/5 = 2/30
2/30 = 1/15
Answer:
30
Step-by-step explanation:
Or these questions, non-integer answers should be entered as a decimal rounded to the hundredths place. Samantha won a trip to Europe in a contest she had entered. Rather than take the trip, she opted to take the cash value of the prize and put it in a savings account she uses as a college fund. She plans to keep this money in the college fund and let it earn interest for 8 years. At the end of 8 years, she'll use the total balance to help pay for tuition at law school. The equation below represents the total dollars, f(x), in her college fund after x years.
Answer:
Domain : [tex]0 \le x \le 8[/tex]
Range : [tex]5450 \le f(x) \le 6588.65[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 5450(1.024)^x[/tex]
Required
Domain: [tex][\ ] \le x\ [\ ][/tex]
Range: [tex][\ ] \le f(x)\ [\ ][/tex]
See attachment for complete question
Calculating the domain:
At the instance when she keeps the money in the college fund;
[tex]x = 0[/tex] ---- 0 years
She plans to wait till the 8th year.
[tex]x = 8[/tex]
Hence, the domain is:
[tex]0 \le x \le 8[/tex]
Calculating the range:
We have:
[tex]f(x) = 5450(1.024)^x[/tex]
When: [tex]x = 0[/tex]
[tex]f(0) = 5450 * 1.024^0[/tex]
[tex]f(0) = 5450 * 1[/tex]
[tex]f(0) = 5450[/tex]
When [tex]x = 8[/tex]
[tex]f(8)=5450 * 1.024^8[/tex]
[tex]f(8)=6588.65[/tex]
Hence, the range is: [tex]5450 \le f(x) \le 6588.65[/tex]
Answer:
domain- [tex]0\leq x \leq 8\\\\[/tex]
range- [tex]5450\leq f(x)\leq 6588.65[/tex]
Step-by-step explanation:
Got it right on edmentum
Melissa’s birthday is next week and she has been receiving cards in the mail with different amounts of money. She has received 5 cards with the following amounts: $10, $20, $ 25, $30, $40. If Melissa receives one more card in the mail with $25, which of the following will happen?
Answer:
Her birthday money total will increase by $25 (total: $150).
Step-by-step explanation:
$10 + $20 + $25 + $30 + $40 + $25 = $150
discuss who the contributors were in algebra
PLEASE HELP!! Solve for x. -6x + 14 < - 28 AND 3x +28 < 25
Answer:
x>-7/3, x<-1
Step-by-step explanation:
Hope this helped!!!
Answered by NONE other than the #QUEEN herself!!
can u guys help me
Answer:
Step-by-step explanation:
Which of the following is equal to the rational expression when x = 5 or -3? x^2+x-6/x^2-2x-15
A. X-6/x-5
B. X+3/c-5
C. X-2/X+3
D. X-2/x-5
Answer:
C. X-2/X+3
Step-by-step explanation:
(4/x) + (4/y) / (16/x2y2) is where we start. I will factor out
1/(16/x2y2).
(1/(16/x2y2)) (64xy2 + 4/y) = (x2y2/16)(64xy2 + 4/y)
I need to factor out a 4/y from there.
(x2y/4)(16xy + 1) = x2y (16xy + 1) / 4
A box contains 5 red pens 10 white pens and 20 green pens if one pen is taken out of
the box at random. What is the probability that the pen taken out will be
i) White pen ii) not a red pen
Answer:
Step-by-step explanation:
Firstly, find the total amount of pens
5 + 10 + 20 = 35, Total of 35 pens
White pens: 10/35
Not a red pen: 20 + 10= 30, 30/35
Calculate these to a percentage:
White- 10/35: 28.57%
Not a red pen- 30/35: 85.71%
Write a function rule for the values in the table
10
10
12
20
18
50
20
60
y=
Answer:
y = 5x - 40
Step-by-step explanation:
The function rule can be written in slope-intercept form, y = mx + b.
Let's find slope (m) and y-intercept (b) of the function, using the values given in the table.
✔️Slope (m) = change in y / change in x
Using two pair of values from the table, (10, 10) and (12, 20),
Slope (m) = (20 - 10) / (12 - 10) = 10/2 = 5
Slope (m) = 5
✔️ y-intercept (b):
Substitute (x, y) = (10, 10) and m = 5 into y = mx + b.
Thus:
10 = 5(10) + b
10 = 50 + b
10 - 50 = b
b = -40
✔️Write the function by substituting m = 5 and b = -40 into y = mx + b
Thus:
y = 5x + (-40)
y = 5x - 40
Bob drew a line he thought was close to many of the points and found the equation of the line. He used the points (165, 168) and (174, 178) on his line to find the equation. What is the equation of Bob’s line? If entering decimal values, round to the tenths place.
What does Bob’s equation predict for the height of a person with an arm span of 162 cm? If entering a decimal value, round to the tenths place.
Answer:a
Step-by-step explanation:
Answer:
y = (10/9)x - 138/9
Height of 164.7 cm for an arm span of 162 cm
Step-by-step explanation:
First we find the slope. (178 - 168)/(174 - 165) = 10/9
Now use the point-slope form of a line
y - 168 = 10/9(x - 165)
9y - 9(168) = 10(x - 165)
9y - 1512 = 10x - 1650
9y = 10x - 138
y = (10/9)x - 138/9
If the arm span is 162 cm, then x = 162
y = (10/9)(162) -138/9
= 180 - 15.3
= 164.7 cm
There were 5 girls and 22 boys in Mrs. Pantoja's math class.
Write the number of girls as a fraction of the number of boys. Then write the
fraction as a decimal.
Answer:
5/22 and for the decimal it will be, 0.22727272727273.
Step-by-step explanation:
In a survey 7 out of 8 dentists recommend a ProTooth toothbrush. Based on this information, which can the toothbrush company predict about its recommendations?
In a survey of 24 dentist, 18 of them will recommend a ProTooth toothbrush.
In a survey of 24 dentist, 18 of them will recommend a ProTooth toothbrush.
In a survey of 88 dentists, 70 of them will recommend a ProTooth toothbrush.
In a survey of 88 dentists, 70 of them will recommend a ProTooth toothbrush.
In a survey of 64 dentists, 56 of them will recommend a ProTooth toothbrush.
In a survey of 64 dentists, 56 of them will recommend a ProTooth toothbrush.
In a survey of 40 dentists, 33 of them will recommend a ProTooth toothbrush
Answer:
64 dentists, 56 of them will recommend
Step-by-step explanation:
I just continued to add 8 more dentists with there recommended outcome until it showed a matching prediction.
Answer:
C. In a survey of 64 dentists, 56 of them will recommend a ProTooth toothbrush.
Step-by-step explanation:
i did this
Find the missing side
Answer:
B
Step-by-step explanation:
cos(35)=x/15
15cos(35)=x
x=12.3
Solve the following system of equations using the substitution method.
x=2y
2x+5y=9
x=
y=
Answer:
y=1; x=2
Step-by-step explanation:
Substitution:
x=2y
2x+5y=9
=> if x=2y, plug in the x value into other equation, so
----------------------------------------------------------------------------
2(2y)+5y=9
4y+5y=9
9y=9
y=1
You have the Y value, so now solve for X
-----------------------------------------------------------------------
plug in y value to x=2y
so x=2(1)
x=2