Answer:
380 days
Step-by-step explanation:
Problem in post:
The radius of the orbit of the planet is 59,000,000 km.
The orbit is circular, so the length of the orbit is the circumference of a circle with radius 59,000,000 km.
distance = circumference of orbit = 2(pi)r = 2 * 3.14159 * 59,000,000 km = 370,707,933 km
speed = 41,000 km/h
speed = distance/time
time * speed = distance
time = distance/speed
time = (370,707,933 km)/(41,000 km/h) = 9,042 hours
Now we convert hours into earth days.
1 earth day = 24 hours
9,042 hours * (1 day)/(24 hours) = 376.73 days
Answer: 380 days
Problem in comments:
Nina and Jo both ran an 8 km race.
Nina took 45 minutes to run the whole race.
Jo started the race 4 minutes later than Nina but caught up when they had both travelled 5 km.
If Nina and Jo both ran at constant speeds, what is Jo's speed to 2 dp?
Solution:
They met at 5 km. Let's find out how long it took Nina to run 5 km.
We can use a proportion.
(8 km)/(45 min) = (5 km)/(x)
x * 8 km = 45 min * 5 km
x = [(45 * 5)/8] min
x = 28.125 min
They met after Nina was running for 28.125 minutes.
Jo started 4 minutes after Nina, so Jo ran for 4 minutes less than Nina. Jo ran 5 km in 24.125 minutes.
speed = distance/time
speed = (5 km)/(24.125 min) * (60 min)/(1 hr)
speed = 12.43523 km/h
Answer: Jo's speed is 12.44 km/h
HELPPPP ASAP !!!!!!!
A triangle was dilated by a scale factor of 4. If tan a° = four thirds and segment FD measures 12 units, how long is segment EF?
triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees
segment EF = 6 units
segment EF = 9 units
segment EF = 12 units
segment EF = 16 units
Answer:
Segment EF = 16 units
Step-by-step explanation:
First we will figure out our equation:
Line FD is adjacent to angle a.
Line EF is opposite to angle a
and line ED is the hypotenuse.
Since we will being using Tangent, the hypotenuse is irrelevant.
Tan a° = [tex]\frac{opposite}{adjacent}[/tex]
Now substitute:
[tex]tan \frac{3}{4} = \frac{x}{12}[/tex]
Multiply both sides by 12:
[tex](12)tan\frac{3}{4} =x[/tex]
Solve for tangent by using your calculator:
[tex]tan \frac{3}{4}= 1.333333333[/tex]
[tex](12)1.333333333= 16[/tex]
[tex]16 = x[/tex]
EF = 16 units.
Answer: the one above is correct
Step-by-step explanation:
Took the test!! :)
Lucy’s parents built a swimming pool in the backyard. Use 3.14 for π.
What is the distance around the pool? The distance around the pool is
131.4/ 162.8/ 957/ 1114 feet.
What is the area of the pool? The area is 131.4/ 162.8/ 957/ 1114 square feet.
Answer:
Distance around the pool = 162.8 feet
Area of the pool = 957 square feet
Step-by-step explanation:
Distance around the swimming pool = Perimeter of the pool
Perimeter of the pool which is a composite figure will be,
= Circumference of the semicircle + Sum of three sides of the pool
= πr + 2×(length of the pool) + width of the pool
= 3.14×(10) + 2×40 + 20
= 62.8 + 80 + 20
= 162.8 ft
Area of the pool = Area of the semicircle + Area of the rectangular pool
= [tex]\frac{1}{2}(\pi)(r)^{2}+(\text{length}\times \text{Width})[/tex]
= [tex]\frac{1}{2}(3.14)(10)^2+(40\times 20)[/tex]
= 157 + 800
= 957 square feet
A survey of 125 households was done to investigate whether households have laptops, tablets, or
both. The results are shown in the Venn diagram below. If a household was selected at random, which
of the following would be the probability the household would have a laptop given that it does not
have a tablet?
1) 0.484
2) 0.355
3) 0.326
4) 0.172
Answer:
3) 0.326
Step-by-step explanation:
Total Number of surveyed households =125
We want to determine the probability that a randomly selected household would have a laptop given that it does not have a tablet.
Written in Probability notation: P(Laptop|No Tablet)
[tex]P(Laptop|No Tablet)=\dfrac{P(L\cap T')}{P(T')} \\=\dfrac{31/125}{95/125}\\=\dfrac{31}{95}\\\\=0.326[/tex]
The correct option is C,
76,45,64, 80, 92
Calculate the sample standard deviation
Answer:
15.94490514
Step-by-step explanation:
First, work out the average, or arithmetic mean, of the numbers:
Count: 5(How many numbers)
Sum: 357(All the numbers added up)
Mean: 71.4(Arithmetic mean = Sum / Count)
Then, take each number, subtract the mean and square the result:
Differences:
4.6, -26.4, -7.4, 8.6, 20.6
(Every Number minus Mean)
Differences^2:
21.16, 696.96, 54.76, 73.96, 424.36
(Square of each difference)
Now calculate the Variance:
Sum of Differences2:1271.2(Add up the Squared Differences)
Variance:254.24(Sum of Differences2 / Count)
Lastly, take the square root of the Variance:
Standard Deviation:15.94490514 (The square root of the Variance)
please help as quickly as possible
Answer:
54/125
Step-by-step explanation:
2/375, 2/125, 6/125, 18/125
It is obvious the common ratio = 3
The next term = 3*18/125= 54/125
Answer: 54/125
Step-by-step explanation:
What is the vale of of???
Answer:
B
Step-by-step explanation:
Because ∠EDF and ∠BDC are vertical angles, ∠D = 9x. Since ∠ABD and ∠BDC are supplementary, our answer is 2x + 105° + 9x = 180° or B.
Answer:
B
Step-by-step explanation:
∠ BDC = 9x ( vertical angles )
∠ ABD and ∠ BDC are supplementary , thus
∠ ABD + ∠ BDC = 180 , substitute values
2x + 105 + 9x = 180 → B
Please answer the question stated below
Answer:
76.58 feet.
Step-by-step explanation:
A yard is 3 feet. Change each value to feet. So then we have 2 pieces of rope that are each 48 feet in length, 1 piece of rope that is 4.17 feet in length, and 1 piece of rope that is 123.25 feet in length. Add these all together. 223.42 is what you get. Subtract this from 300. You get 76.58.
Answer:
132.25 feet
Step-by-step explanation:
total rope they have now= (2x16)+(1x12.5)+(1x123.25)= 167.75
additional rope needed= 300-167.75= 132.25
Step-by-step explanation:
Solve the inequality and enter your solution as an inequality comparing the
variable to a number.
x + 10 > 30
Answer here
SUBMIT
Answer: x > 20
Step-by-step explanation:
x + 10 > 30
-10 -10
x > 20
Answer:
x-3
Step-by-step explanation:
x+7-7>10-7
subtract 7 from both sides
which equation is correct? 2x+38) - 5x +4 A 7x - 41 B 7x + 41 C 36x - 2
or just write your own
Answer:
[tex]-3x+42[/tex]
Step-by-step explanation:
[tex](2x+38) - 5x +4[/tex]
[tex]2x+38 - 5x +4[/tex]
[tex]2x+38+ - 5x +4[/tex]
[tex]2x+-5x+38+4[/tex]
[tex]-3x+42[/tex]
What is the 10th of a quarter of 1600
Answer:
40
Step-by-step explanation:
A quarter of 1600: 400
A tenth of 400:40
The value of 10th of a quarter of 1600 is 40.
What is a quarter of a number?A quarter of the number is 1/4 times of the number i.e. times of the number.
Quarter of x= (1/4)*x= 0.25 * x
Given in the question that we have to calculate 10th of a quarter of 1600.
Before that we have to first calculate a quarter of 1600 which is calculated by using the above formula
quarter of 1600= (1/4)*1600= 0.25* 1600= 400
Now we have to calculate 10th of a quarter of 1600 i.e. 10th of 400.
10th of 400= (1/10) * 400= 40
Therefore the value of 10th of a quarter of 1600 is 40.
Learn more about the quarter
here: https://brainly.com/question/382406
#SPJ2
HELP! WILL GIVE BRAINLIEST TO BEST ANSWER!!! BE VERY DETAILED PLEASE <3 Examine your selected object and the construction you made from 1.08. Which transformations (translations, reflections, or rotations) are present in the constructions?
Answer:
It's Rotated I believe
Step-by-step explanation:
Peter made a rectangular sandbox for his brother to play in. The sand box measured 4 feet by 5 feet by 1 One-half feet. How much sand will fill the sandbox?
A: 30 ft2
B: 30 ft3
C: 67 ft2
D: 67 ft3
Explain how the Quotient of Powers Property was used to simplify this expression.
three to the fourth power all over nine equals three squared
By simplifying 9 to 32 to make both powers base three and adding the exponents
By simplifying 9 to 32 to make both powers base three and subtracting the exponents
By finding the quotient of the bases to be one third and simplifying the expression
By finding the quotient of the bases to be one third and cancelling common factors
Answer:
The answer is option 2, by simplifying 9 to 3² to make both powers base 3 and subtracting the exponents.
Step-by-step explanation:
You have to make the expressions into the same base :
[tex] \frac{ {3}^{4} }{9} = \frac{ {3}^{4} }{ {3}^{2} } [/tex]
Next, you have to apply Indices Law :
[tex] {a}^{m} \div {a}^{n} \: ⇒ \: {a}^{m - n} [/tex]
[tex] {3}^{4} \div {3}^{2} [/tex]
[tex] = {3}^{4 - 2} [/tex]
[tex] = {3}^{2} [/tex]
By simplifying 9 to 3² to make both the powers base 3 as well as subtracting the exponents. A further explanation of the given question is below.
According to the question,
The equation will be:
→ [tex]\frac{(3)^4}{9} = \frac{(3)^4}{(3)^2}[/tex]
By applying the Indices law i.e.,
→ [tex]\frac{a^m}{a^n} = a^{m-n}[/tex]
then, we get
→ [tex]\frac{3^4}{3^2}[/tex]
→ [tex]3^{4-2}[/tex]
By subtracting the powers, we get
→ [tex]3^2[/tex]
Thus the above answer i.e., option B) is the correct approach.
Learn more:
https://brainly.com/question/19660607
What is 1½ ÷ ⅜ plllllllllllzzzzz help!
Answer:
4
Step-by-step explanation:
1 1/2 ÷ 3/8
Change to an improper fraction
3/2 ÷ 3/8
Copy dot flip
3/2 * 8/3
Cancel like terms
8/2
4
Answer:
4
Step-by-step explanation:
all work is in the image below!
Factor the numerator and denominator and cancel the common factors.
12. (-/10 Points)
DETAILS
HARMATHAP12 1.1.053.
Using data from 2010 and projected to 2020, the population of the
10.0y - 4.55x = 581
where x is the number of years after 2000.1
(a) What is the projected population in 2028?
y =
(b) In what year is the population predicted to be 71.75 million?
Write the equation in standard form for the circle passing through (6, 6) centered at the
origin
Answer:
x² + y² = 72
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( r is the radius )
The radius is the distance from the centre to a point on the circle.
Use the distance formula to calculate r
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (6, 6)
r = [tex]\sqrt{(6-0)^2+(6-0)^2}[/tex]
= [tex]\sqrt{6^2+6^2}[/tex]
= [tex]\sqrt{36+36}[/tex]
= [tex]\sqrt{72}[/tex]
Thus
x² + y² = ([tex]\sqrt{72}[/tex] )² , that is
x² + y² = 72 ← equation of circle
The perimeter of the pentagon is 34 inches. Find the length of the side that is unknown. Explain your thinking.
Answer: side = 6.8 inches
Step-by-step explanation:
Side of pentagon = perimeter/5
= 34/5 = 6.8
potatoes are 50p a pound . how much for 24oz
Answer:
25p
Step-by-step explanation:
IM NOT SURE IF ITS RIGHT BUT THAT WHAT I THINK. HAVE A NICE DAY!
Answer:
Hi...
The correct ans is 25 p
Hope this helps.....
Pls mark my ans as brainliest....
Sry dude the calculations r longggggggggggg
Be sure to mark my ans as brainliest
does anyone know this?
Answer:
16x
Step-by-step explanation:
What goes in the box is
4x * 4
16x
An employee at a factory is paid $9.25 per hour plus an $8.00 bonus for every 20 transformers assembled. Last week an employee worked 36 hours and assembled 380 transformers. How much money did the factory employee actually earn per hour last week rounded to the nearest cent?
Answer: -$13.47 per hour
Step-by-step explanation:
Hi, to answer this question we have to write an expression:
The total amount earned by the employee will be equal to the product of the number of hours he worked (36) and the amount paid per hour (9.25) ; plus the product of the amount paid for every 20 transformers assembled (8) and the number of transformers assembled (380)divided by 20 :
9.25 (36) + 8 (380/20) =
Solving:
333+ 8 (19) =
333+152 = $485
If we divide the result by the number of hours:
485 /36 = $13.47 per hour
Feel free to ask for more if needed or if you did not understand something.
Answer:
$13.47 per hour
:):):):):):)
Which is the graph of the linear equation 3x – 4y = –12? On a coordinate plane, a line goes through points (0, 3) and (4, 0). On a coordinate plane, a line goes through points (negative 4, 0) and (0, negative 3). On a coordinate plane, a line goes through points (0, negative 3) and (4, 0). On a coordinate plane, a line goes through points (negative 4, 0) and (0, 3).
Answer:
On a coordinate plane, a line goes through points (negative 4, 0) and (0, 3).
Step-by-step explanation:
I graphed the equation on the graph below so you can where I got my answer.
Answer:
the answer is D
Step-by-step explanation:
hope this helps!
Work out the value of x
[tex]x = 67.5 \\ solution \\ x + 3x + 90 = 360(sum \: of \: complete \: turn) \\ or \: 4x + 90 = 360 \\ or \: 4x = 360 - 90 \\ or \: 4x = 270 \\ or \: x = \frac{270}{4} \\ x = 67.5 \\ hope \: it \: helps[/tex]
Answer: x = 67.5°
Step-by-step explanation:
Is this for area or the magnitude of the angle? Ill solve for the angle. A circle has a total degree of 360. And they give us the right angle of 90°.
So the equation we have here is 90 + 3x + x = 360. Subtract 90 from both sides to get 3x + x = 270. Combine the like terms to get 4x = 270. Now just divide each side by 4 to get 67.5°
The diameter of the cylinder is 6 cm.
If the height is triple the radius, what is the volume of the cylinder? Use 3.14 for pi and round to the nearest
hundredth.
Answer:
254.34 cubed centimeters
Step-by-step explanation:
i need help please....
Answer:
34
Step-by-step explanation:
area = (1/2)base * height.
area= half of 17 times 4
a=8.5 x 4
a=34
Answer: C
Step-by-step explanation:
Area = 1/2 bh
Area = 1/2 x 4 x 17
= 34 sq inches
True or False?
When multiplying powers with the same base, you subtract the exponents. When dividing powers with the same base, you multiply the exponents. When raising a power to a power, you divide the exponents? EXPLAIN YOUR REASONING
Answer:
False
Step-by-step explanation:
(x^3)(x^4) = (xxx)(xxxx) = x^7 when multiplying you add the exponents
(x^5)÷(x^2) = (xxxxx)÷(xx) = xxx or x^3 because two of the x's reduce therefore when dividing you subtract the exponents
(x^2)^3 = (x^2)(x^2)(x^2) = (xx)(xx)(xx) = x^6 when raising a power to a power you multiply the exponents
According to the table, during which interval did the
average time spent on hold increase?
week 1 to week 3
week 1 to week 4
week 4 to week 6
week 3 to week 5
Answer:
C
Step-by-step explanation:
Got it correct, Edge2020.
Answer:
c. week 4 to week 6
Step-by-step explanation:
got it right on my test
please help me with this
Answer:
3 [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
3/4 + (1/3÷ 1/6 - (-1/2)=
3/4 + 2 - (-1/2)=
2 3/4 - (-1/2)=
3 1/4
hope it helps mark me as brainliest
Can someone help me with this please!!!
Answer:
first itself we should do the answer and only we can answer it
Step-by-step explanation:
Brian has to send 13 parcels it will be cheaper to send the parcels by the express service than by the rapid service.
Answer: £ 260.78
Step-by-step explanation:
Simplify 2(x - 4) + 7(x + 2). 9x + 6 9x - 4 9x - 6
Answer:
-The final answer is [tex]9x + 6[/tex] .
Step-by-step explanation:
Simplify the following equation:
[tex]2(x - 4) + 7(x + 2)[/tex]
-Use Distributive Property:
[tex]2(x - 4) + 7(x + 2)[/tex]
[tex]2x - 8 + 7x + 14[/tex]
-Combine [tex]2x[/tex] and [tex]7x[/tex] together:
[tex]2x - 8 + 7x + 14[/tex]
[tex]9x - 8 + 14[/tex]
Add [tex]-8[/tex] and [tex]14[/tex] together:
[tex]9x - 8 + 14[/tex]
[tex]9x + 6[/tex]
So, the final answer is [tex]9x + 6[/tex] .
