Answer:
2 yrs
Step-by-step explanation:
SI =PTR/100
738=8200 x T x 4.5 /100
738 x 100 / 8200 x 4.5 = T
T =2
whats the perimeter and area of this shape?
Answer:
60+14.35=88.27
Step-by-step explanation:
5x12 for the rectangle on the right, then for the circle, using the formula A=πr², I get 28.27, which you divide by 2 because you only need half of the circle, and you get 88.27. I calculated the radius by subtracting 12-6 and then dividing that in half because the radius is half of the distance to the other end of the circle. Then you get the radius of 3, then plug it into the formula to get π(3)², which is just 3.14(9), and you get 28.27.
Answer:
P = 37.42478 A = 88.27
2. A business man sold an article at a gain of 10%. Had he sold the article at a gain of 20% he would have gained Rs. 55 more. Find the cost price of the article.
Step-by-step explanation:
Let SP1 be x
P%=10%
CP=SP×100/100+%P
= x+100/100+10
= 100x/110
SP2= x+55
CP= SP×100/100+%P
or 100x/110= x+55×100/120
or x/110=x+55/120
or 24x-22x=22×55
or 2x=1210
or x=1210/2
or x=605
Now,
CP=100x/110
=100×605/110
=60500/110
=Rs 550
1.Evaluate
a.(243/32)^-0.4
Answer:
4/9
Step-by-step explanation:
negative exponent means 1/...
so, this is
(32/243)^(4/10) = (32/243)^(2/5)
that means to the power of 2 and then pulling the 5th root.
so, let's pull the 5th root first, and then we square
(32/243)^(2/5) = (2⁵/3⁵)^(2/5) = (2/3)^2 = 4/9
Help me come up with a YT name plz. I’m looking for something that POPS, but I keep coming up with the same names/words.
factor and solve the problem in the photo ……. pleaseeee helppppp i havent done algebra in 2 years
Answer:
Not factarable, all terms must be in x. or y
Step-by-step explanation:
9. Calculate the perimeter and the perimeter of a quadrant of a circle with radius 7 cm
correct to 3 significant figures.
Answer:
Circumference is 43.982 cm
Step-by-step explanation:
[tex]circumference = 2\pi r \\ = (2 \times 3.14 \times 7) \\ = 43.982 \: cm[/tex]
[tex]{ \underline{ \tt{ ‡†‡ \: \: trent008}}}[/tex]
equals 20+20=40 Expression value is
Answer:
expression is 20. +20...
An angle measures 51.4° less than the measure of its complementary angle. What is the measure of each angle?
Answer:
70.7 deg, 19.3 deg
Step-by-step explanation:
The sum of the measures of complementary angles is 90 deg.
One angle measures x.
The other angles measures 51.4 deg less than x, or x - 51.4.
The sum of their measures equals 90.
x + x - 51.4 = 90
2x - 51.4 = 90
2x = 141.4
x = 70.7
x - 51.4 = 70.7 - 51.4 = 19.3
Answer: 70.7 deg, 19.3 deg
Emma rides a bicycle 16 miles east and then 15 miles north. About how far is she from her starting point?
Step-by-step explanation:
starting pt.
root 16²+15²
= 256 + 225
=481
distance= 22 miles aprox.Un avión puede volar con la velocidad de 400 km por hora en atmósfera tranquila si cuando se dirige hacia el este el viento viene del Sur con la velocidad de 40 km por hora cuál es la dirección de su vuelo
Answer:
84,3 ° Sureste
Step-by-step explanation:
El diagrama vectorial que tipifica la pregunta se muestra en la imagen adjunta.
La dirección del avión es la dirección de la velocidad resultante.
Si esta dirección es θ
θ = tan ^ -1 (400/40)
θ = 84,3 ° Sureste
I want a simple explanation on how to get the answer to this question not just the answer.
Find the length of side x in simplest radical form with a rational denominator.
Answer:
x = 3
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp side / adj side
tan 30 = sqrt(3) / x
x tan 30 = sqrt(3)
x = sqrt(3) / tan 30
x =sqrt(3) / (1 / sqrt(3))
x = sqrt(3) * sqrt(3)
x = 3
Factor.
20x2 – 19x + 3
Answer:
Here is your answer!
A giant pie is created in an attempt to break a world record for baking. The pie is shown below: A circle is shown with a central angle marked 38 degrees and the diameter marked 20 feet. What is the area of the slice of pie that was cut, rounded to the nearest hundredth? 22.08 ft2 13.19 ft2 33.14 ft2 28.97 ft2
Answer:
33.14 ft^2
Step-by-step explanation:
First find the area of the circle
The diameter is 20 ft so the radius is 1/2 of the diameter of 20*1/2 = 10 ft
A = pi r^2 = pi ( 10)^2 = 100 pi
The central angle is 38
That is a fraction of the circle, which is 360 degrees
38/360 = 19/180
Multiply the fraction of the circle by the area
19/180 * 100 pi
19/9 * 5 pi
Using 3.14 for pi
33.144444
To the nearest hundredth
33.14 ft^2
The area of the slice of pie that was cut, rounded to the nearest hundredth 33.14 ft^2.
We have to first find the area of the circle.
The diameter is 20 ft so the radius is 1/2 of the diameter of
20*1/2 = 10 ft.
What is the area of the circle?
The area of a circle [tex]A = \pi r^2[/tex]
By using the formula we have,
A= pi ( 10)^2
A = 100 pi
The central angle is 38.
That is a fraction of the circle, which is 360 degrees
38/360 = 19/180
Multiply the fraction of the circle by the area
19/180 * 100 pi
19/9 * 5 pi
Using 3.14 for pi
33.144444
To the nearest hundredth, it is 33.14 ft^2.
To learn more about the circle visit:
https://brainly.com/question/24375372
The diagram shows three points P, Q and R on horizontal ground.
PQ = 50 m, PR = 100 m and angie PQR = 140°.
Calculate angle PRO.
Answer:
m<PQR = 18.7°
Step-by-step explanation:
Apply the Law of Sines,
[tex] \frac{Sin A}{a} = \frac{Sin B}{b} [/tex]
Where,
Sin A = Sin 140
a = 100 m
Sin B = Sin R (<PRQ)
b = 50 m
Substitute
[tex] \frac{Sin 140}{100} = \frac{Sin R}{50} [/tex]
Cross multiply
[tex] 100*Sin(R) = 50*Sin(140) [/tex]
Divide both sides by 100
[tex] Sin(R) = \frac{50*Sin(140)}{100} [/tex]
[tex] Sin(R) = 0.32139 [/tex]
[tex] R = Sin^{-1}(0.32139) [/tex]
R ≈ 18.7° (nearest tenth)
m<PQR = 18.7°
The angle PRO is 1.7 degrees.
Given that,
The diagram shows three points P, Q, and R on horizontal ground.
PQ = 50 m, PR = 100 m and angle PQR = 140°.
We have to determine,
The angle PRO.
According to the question,
The value of angle PRO is determined by using the sin rule-following all the steps given below.
[tex]\rm \dfrac{sina}{a} = \dfrac{sinb}{b}[/tex]
Where, Sin A = Sin 140 , a = 100 m , Sin B = Sin R (<PRQ) , b = 50 m
Substitute all the values in the formula,
[tex]\rm \dfrac{sin140}{100} = \dfrac{sinR}{50}\\\\ \dfrac{0.64}{100} = \dfrac{sinR}{50}\\\\0.0064 = \dfrac{sinR}{50}\\\\0.0064 \times 50 = sinR\\\\0.321 = sinR\\\\R = sin{-1}(0.321)\\\\R = 18.7 \ degree[/tex]
Hence, The angle PRO is 1.7 degrees.
For more details refer to the link given below.
https://brainly.com/question/12895249
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Esmerelda is a math student who needs to gather a sample of 10 participants to conduct a survey about U.S. residents. She asks her 3 siblings, her 2 parents, and telephones 5 friends and asks them to complete her questionnaire. This is an example of a ______________________.
A. convenience sample
B. systematic sample
C. self-selecting sample
D. representative sample
Answer:
Representative sample is your answer ....
9x mũ 2 + 6x + 1 cho mình hỏi câu này ạ
Answer:
can you translate in english,would be better...
answer maybe wrong because of the language but stil....
9x(2+6x+1)
=9x(9x)
81x..
In the diagram what is the length of the 3rd side?
Answer:
Step-by-step explanation:
Use Pythagorean's Theorem:
[tex]c^2=15^2+8^2[/tex] and
[tex]c^2=225+64[/tex] and
[tex]c^2=289[/tex] so
c = 17
A purchase costs $25.79 plus a tax of $1.29. Find the sales tax rate.
Answer:
The sales tax rate is 5%.
Step-by-step explanation:
To determine the sales tax rate if you already know the amount of tax being added to the purchase price, divide the amount of tax by the purchase price. In this example, divide $1.29 (amount of tax being added) by $25.79 (purchase price). When you do that, you will see that the answer is 0.0500, or 5%.
When completing an online shopping transaction, a typical shopper takes 5 seconds to select each product and another 7 seconds to complete the check-out process. If it takes 32 seconds to complete a transaction, how many products are being purchased?
32 - 7 = 25/5 = 5
so, we have 5 products being purchased, since the 7 sec check-out doesn't count as product time.
hope it helps :)
Answer:
5 items
Step-by-step explanation:
32 - 7 = 25
25 / 5 = 5
This means that 5 items are being purchased.
Hope it helps c:
pls pls pls help me answer this quickly
Answer:
768
Step-by-step explanation:
(8×8×10)+(8×8×6/3)
= 640+128
= 768
Answered by GAUTHMATH
James is having a BBQ. Burgers come in packs of 12
and buns come in packs of 8. How many packs of each
will James need to buy so that he has no spares?
Answer:
2 packs of Burgers, 3 Packs of Buns
Answer:
He will need to buy 2 packs of burgers. And 3 packs of buns.
Step-by-step explanation:
The lowest common number that 12 and 8 Share is 24. 12×2=24 8×3=24
This cylinder has a radius of 4 feet and a volume of 2087 cubic feet.
What is the height of the cylinder?
Answer:
h = 41.52 feet
Step-by-step explanation:
The volume is π•radius²•height:
π•4²•h = 2087
16πh = 2087
h = 2087/16π
h ≈ 41.52 feet
50 percent of 120 is the same as 80 percent of what number?
A) 42
B) 45
C) 48
D) 52
Answer:
75... but I don't see it down there
Step-by-step explanation:
equation:
0.5(120) = 0.8(x)
60 = 0.8x
60/8 = 0.1x
7.5 = 0.1x
x = 75
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Jennifer invested $379 in a simple interest account. The account now has $554 in it. The money has been invested for 5 years. What interest rate (as a percentage) did this account have?
9514 1404 393
Answer:
9.23%
Step-by-step explanation:
The account balance for simple interest is given by ...
A = P(1 +rt) . . . . . principal P invested for t years at rate r
554 = 379(1 +r·5)
554 = 379 + 1895r . . . . eliminate parentheses
175 = 1895r . . . . . . . . . subtract 379
r = 175/1895 ≈ 0.092348 ≈ 9.23%
Jennifer's account had an interest rate of about 9.23%.
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.8 years, and standard deviation of 1.7 years. The 10% of items with the shortest lifespan will last less than how many years?
Answer:
3.6 years
Step-by-step explanation:
Using the standard normal probability distribution table, we obtain the Zscore which is 10% to left of the distribution.
The Zscore gives, - 1.282
To obtain the number of years, let this be x ;
Recall, the Zscore formula :
Zscore = (x - μ) / σ
x = number of years
μ = 5.8
σ = 1.7
Zscore = (x - μ) / σ
-1.282 = (x - 5.8) / 1.7
-1.282 * 1.7 = x - 5.8
-2.1794 = x - 5.8
-2.1794 + 5.8 = x
x = 3.6206
x = 3.6 years
What is the slope, in its most simplified form, of the line that contains (1, 3) and (5, 9)
If n(a)=40,n(b)=60 and n(a∪b)=80.find the value of (a∩b.
Answer:
20
Step-by-step explanation:
we know,
n(aUb)=n(a)+n(b)-n(a∩b)
so,
80=40+60-n(a∩b)
or, 80-(40+60)=-n(a∩b)
or, -n(a∩b)=80-100
or, -n(a∩b)=-20
or, n(a∩b)=20
Quick Question, can someone explain to me how 5x-6 equal 34?
Answer:
x = 8
Step-by-step explanation:
5x-6 = 34
Add 6 to each side
5x-6+6 = 34+6
5x = 40
Divide by 5
5x/5 = 40/5
x = 8
5x - 6 = 34. You have to do inverse operation. Since its -6, you have to do + 6 on both sides. so now, -6 gets canceled. and 34 + 6 is 40. All ur left with now is 5x = 40, 40 divided by 5 = 8
HELP PLZ I GIVE YOU BRAINLIEST IF YOU GET CORRECT PLZ I BEG YOU
in a 2-digit number, the tens digit is 5 less than the units digit. if you reverse the number, the result is 7 greater than the double the original number. find the original number
Answer:
Original number = 38
Step-by-step explanation:
10*x + y
x = y - 5
10y + x = 2 (10x + y) + 7
10y + y - 5 = 2(10(y - 5) + y) + 7
11y - 5 = 2(10y - 50 + y ) + 7
11y - 5 = 2(11y - 50) + 7
11y - 5 = 22y - 100 + 7
11y - 5 = 22y - 93
11y + 88 = 22y
88 = 11y
y = 8
x = y - 5
x = 8 - 5
x = 3
So the original number is 38. Does that work?
3 is 5 less than 8.
83 = 2*38 + 7
83 = 76 + 7
83 = 83. Yes it works.
