Answer:
She is about 14.765 miles ([tex]\sqrt{218}[/tex] miles) from where she started
Step-by-step explanation:
There is a relation between the three sides of the right triangle
The side opposite to the right angle is called hypotenuse and it is the longest sideThe other two sides called legs of the right angleThe relation between them is: (hypotenuse)² = (leg1)² + (leg2)²∵ Jennifer bikes 7 miles south
∵ She turns to bike 13 miles east
∵ South and East are perpendicular
→ That means the distance from her start point to end point represents
a hypotenuse of a right triangle, whose legs are 7 and 13
∴ (hypotenuse)² = (leg1)² + (leg2)², where
hypotenuse is the distance between her start and end pointsleg1 is her distance in south directionleg2 is her distance in east direction∵ Leg1 = 7 miles
∵ leg 2 = 13 miles
∴ (hypotenuse)² = (7)² + (13)²
∴ (hypotenuse)² = 49 + 169
∴ (hypotenuse)² = 218
→ Take √ for both sides
∴ hypotenuse = [tex]\sqrt{218}[/tex]
∴ hypotenuse ≅ 14.76482306
∴ She is about 14.765 miles ([tex]\sqrt{218}[/tex] miles) from where she started.
12. If a family is chosen at random from the set of all families with exactly three children, find the probability
that: (2Marks)
a) the family has three boys if it is known that one child is a boy.
b) the family has three boys if it is known that the first child is a boy.
Answer:
(a) 0.25
(b) 0.125
Step-by-step explanation:
The probability of the child being a boy or a girl is 50%.
That is, P (B) = 0.50 = P (G).
It is provided that the family selected has three children.
(a)
Compute the probability that the family has three boys if it is known that one child is a boy as follows:
[tex]P(3B|1B)=\frac{P(3B\cap 1B)}{P(1B)}[/tex]
[tex]=\frac{P(3B)}{P(1B)}\\\\=\frac{(0.50)^{3}}{0.50}\\\\=0.25[/tex]
Thus, the probability that the family has three boys if it is known that one child is a boy is 0.25.
(b)
Compute the probability that the family has three boys if it is known that the first child is a boy as follows:
The gender of the children are independent of each other.
So, if the first child is a boy then the probability of having three boys is:
P (3 boys | 1st boy) = P (1st boy) × P (2nd boy) × P (3rd boy)
= (0.50)³
= 0.125
Thus, the probability that the family has three boys if it is known that the first child is a boy is 0.125.
You flip a coin. What is p(heads)? Write your answer as a percentage rounded to the nearest tenth
Answer:
0.50%
Step-by-step explanation:
Earth is represented on a map of a portion of the solar system so that its surface is the circle with equation x2+y2+8x+2y−4883=0. A weather satellite circles 0.4 unit above Earth with the center of its circular orbit at the center of Earth. Find the general form of the equation for the orbit of the satellite on this map.
Answer:
The general form of the equation for the orbit of the satellite is [tex]x^{2}+y^{2}+8\cdot x+2\cdot y = 4939.16[/tex].
Step-by-step explanation:
From statement we have the general equation of the elliptic form of Earth. First we have to transform this formula to the standard form of the equation of the circle. That is:
1) [tex]x^{2}+y^{2}+8\cdot x +2\cdot y -4883=0[/tex] Given
2) [tex](x^{2}+8\cdot x)+(y^{2}+2\cdot y) = 4883[/tex] Associative, commutative and modulative properties/Compatibility with addition/Existence of additive inverse.
3) [tex](x^{2}+8\cdot x +16)+(y^{2}+2\cdot y+1)-17=4883[/tex] Associative, commutative and modulative properties/Compatibility with addition/Existence of additive inverse.
4) [tex](x+4)^{2}+(y+1)^{2} = 4900[/tex] Square perfect trinomial/Result
According the result, the center of Earth is [tex]C(x,y) = (4, 1)[/tex] and the square of the radius of Earth equals 4900. That is: [tex]r = 70[/tex]
If satellite circles 0.4 unit above Earth, then the equation of the orbit of the satellite is:
[tex](x+4)^{2}+(y+1)^{2}=70.4^{2}[/tex]
[tex](x+4)^{2}+(y+1)^{2} = 4956.16[/tex]
Now we transform this into its general form:
1) [tex](x+4)^{2}+(y+1)^{2} = 4956.16[/tex] Given
2) [tex]x^{2}+8\cdot x +16+y^{2}+2\cdot y+1 = 4956.16[/tex] Square perfect trinomial
3) [tex]x^{2}+y^{2}+8\cdot x+2\cdot y = 4939.16[/tex] Associative, commutative and modulative properties/Compatibility with addition/Existence of additive inverse/Result
The general form of the equation for the orbit of the satellite is [tex]x^{2}+y^{2}+8\cdot x+2\cdot y = 4939.16[/tex].
Round 15.78947368 to two decimal
Places
Pls pls helppp
Answer:
= 15.79
Step-by-step explanation:
Find the number in the hundredth place (8) and look one place to the right for the rounding digit (9). Round up if this number is greater than or equal to 5 and round down if it is less than 5.
The given number i.e. 15.78947368 rounded to two decimal places is 15.79.
Given that,
The given number is 15.78947368.Here we have to rounded in 2 decimal places.Based on the above information, the calculation is as follows:
Here we have to check whether the digit is below 5 or above. If is above so the next number should be rounded.
Like 15.789
Here 8 is greater than 5
So for two decimals it is 15.79.
Therefore we can conclude that the given number i.e. 15.78947368 rounded to two decimal places is 15.79.
Learn more: brainly.com/question/13549064
help find missing angle??
Write 9(39) using the Distributive Property. Then simplify.
if you remove my question you not big brain
Answer:
Whats your question?
Step-by-step explanation:
Answer:
MINE CRAFT U SHOULD NEVER PLAY
Step-by-step explanation:
Are 3/4 and 16/20 equivalent? Why or why not is one fraction smaller/larger than the other? How do you know
Answer:
No they are not equivalent because 3/4 would be equivalent to 6/8, 9/12, 12/16/ 15/20. 16/20 would be the greatest fraction because in its simplest form it would be 4/5.
A. Name a line segment
B. Name an endpoint
Answer:
Line Segment = FG
Endpoint = C
Step-by-step explanation:
Line segment means a piece of the line
Endpoint meant a point on the end
Answer:
Step-by-step explanation:
AB is a line segment
An end point would be point C on CD
WILL AWARD BONUS POINTS FOR A GOOD ANSWER! URGENT! Justin's sand castle is 180 cm tall but the wind is blowing away sand at a rate of 8 cm per minute. Taylor's sand castle is 160 cm tall and she is adding sand to it at a rate of 6 cm per minute. After how many minutes will their sand castles be at an equal height?
Answer:
I think around 17 min...
Step-by-step explanation:
there is 60 sec in a minute so divide 60/8 , divide 60/6, then add them together....
60/8= 7.5 and 60/ 6=10
so 7.5+10 = 17.5
somewhere around there
CAN SOMEONE HELP ME ?
Answer:
sure ill help
Step-by-step explanation:
Answer:
a+b=f
Step-by-step explanation:
180-f= c
180-(a+b)= c
SO
a+b= f
Are these two expressions equivalent 42+35 and 7(6+5)
Answer:
Yes
Step-by-step explanation:
Write each equation in slope intercept form the graph
I believe the answer is 4/5x +2. Sorry if I’m wrong.
A graph of a quadratic function is shown below.
What is the vertex of the parabola shown? (5 points)
A (10, 800)
B (800, 10)
C (30, 0)
D (0, 600)
Using it's concept, it is found that the vertex of the quadratic function is given by:
B (800, 10).
What is the vertex of a quadratic equation?It is the point in which the parabola changes from increasing to decreasing, or vice versa, that is, the point in which it turns.
In this problem, it turns at x = 10 and y = 800, hence option A is correct.
More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967
#SPJ1
Answer:
Step-by-step explanation:
Anna runs three over4 mile in six minutes. Assuming she runs at a constant rate what is her speed in miles per hour
Answer:
7.5 mph
Step-by-step explanation:
6 times 10 is 60 minutes which is an hour
3/4 times ten is 7.5
−9(4 − 3j)
A. 36 − 27j
B. 36 + 27j
C. −36 + 27j
D. 36 + j
Answer:
C
Step-by-step explanation:
-9×4
= -36
...
-9 × -3j = 27j
THEREFORE...
-36+27j
A surveyor holds a laser range finder 3 feet above the ground and determines that the range finder is 92 feet from a building and 106 feet from the top of the building. What is the height h of the building? Round your answer to the nearest tenth. The building is about feet tall.
Answer:
55.64
Step-by-step explanation:
The range finder is 92 feet from the building and 106 feet from the top of the building i.e. hypotheses
We will use the Pythagorean theorem:
x^2 = 106^2 - 92^2
= 11,236 - 8,464
= 2,772
= √2,772
x = 52.64978632
The height of the building:
h = x + 3
= 52.64978632 + 3
= 55.64978632
or
≈ 55.64 feet
Answer:
This is from a test in big ideas ain't it.
Step-by-step explanation:
Cause i have it too sorry for getting your hopes up. i need help on this one too
A rectangular box has dimensions 4 in by 5 in by 5 in. Increasing each dimension of the box by the same amount ylelds a new box with volume five times the
old
Answer:
20
Step-by-step explanation:
is the answer ok srry if wrong
Can you please help me answer this question ?( will mark brainliest )
Answer:
Revenue(net profit) = 720.00 £ (-35%)
Step-by-step explanation:
Given that Poppy Lapel Pins made 1000 Poppy Lapel Pins that costed £1.10 each to make. This is what is subtracted from the sales. Which means 1100£ is what is deducted from the net(total) profit. 1000 * £1.10 = 1110.00£ (cost)
When it says that 35% of these are given to charity, these are the number of pins that they did not make profit off of. It also says the remaining are sold which means that the other 65% are sold since 100%-35% = 65%.
Referring back to how 1000 total pins are sold, we are given that 35% of these are given to charity which are the pins that the company does not make profit off of. Because 35% of these are disregarded from profit 1000 minus 35% of 1000 is 1000 - 350 = 650 pins (number of pins sold for profit).
We are also given that these 650 pins are split up into another set of sales, being 60% of these is sold for 3£ each pin, and the other 40% are sold for 5£ each 2 pins.
Now we can set up an expression to solve for the net profit as a quantity.
(650 × 60% × 3£) + ( 1/2 × 650 × 40% × 5£)
= ( 390 × 3£ ) + ( 260 × 1/2 × 5£) = (1170.00£) + (650£) = (1820.00£).
Then to find the revenue or total income made, we must subtract the *cost* from the *net profit*
Revenue = profit - cost.
Revenue = 1820.00£ - 1100.00£ = 720.00£.
Once that is done, to find the percent margin, we must subtract the revenue from the cost all divided by the cost, and multiplied by 100( to convert it to a precent ).
Margin = ((Revenue-cost)/cost × 100)%
Margin = ((720.00£-1100.00£)/1100£ × 100)% = -380/1100£ × 100%= -0.345454... × 100% ≈ -35%
what will happen to the area of a square if the length of its sides are halved
Answer:
the side is halved the area of the square will be one fourth
Step-by-step explanation:
example : 6cm
area : 6x6 = 36
now half of 6 is 3
so : 3x3 = 9
one-fourth of 36 is 9
find the value of x.
Answer:
x=11
Step-by-step explanation:
take 90+35 = 125
then take 180-125=55
then take 55 divided by 5 to get the answer of 11
An electric company charges a certain rate per kilowatt-hour (\text{kWh})(kWh)left parenthesis, start text, k, W, h, end text, right parenthesis of electricity used and an administrative fee of \$3.50$3.50dollar sign, 3, point, 50. The company charged Zhao \$63.25$63.25dollar sign, 63, point, 25 for using 800\,\text{kWh}800kWh800, start text, k, W, h, end text of electricity. Zhao uses the equation, 63.25=800r+3.5063.25=800r+3.5063, point, 25, equals, 800, r, plus, 3, point, 50 to represent the situation.
Step-by-step explanation:
The equation is given by :
63.25=800r+3.50
Here,
63.25 is the electric company charges
3.5 is an administrative fee
800 is charge per kilowatt hours
r is rate per kilowatt hour
In this proble, we need to tell that what does r represents. Hence, r shows kilowatt per hour.
We can solve it as follows :
63.25-3.5=800r+3.50-3.50 (Subtracting 3.50 to the both sides)
59.75=800r
[tex]r=\dfrac{59.75}{800}\\\\r=0.0746[/tex]
What's the value of
z? - 3x + 1
when x = -2 and y = 42
Answer: 11
Step-by-step explanation:
Based on te question in the picture (which is different from what you wrote)
x^2 - 3x + 1
-2^2 - 3(-2) + 1
4 + 6 + 1 = 11
What’s 9+10, will give brainliest for the Awnser I’m looking for
Answer:
9+10 is 19 i-
Step-by-step explanation:
Brittany graphs the point (6,3) on a coordinate grid, which describes where she should plot the point of she starts at the origin?
A) 6 units to the left and 3 units up
B) 6 units up and 3 units to the left
C) 6 units to the right and 3 units up
D) 6 units up and 3 units to the right
Answer:
C
Step-by-step explanation:
is 4.23x 10 exponent negative 5 greater than 1 or less than 1. explain how you know
Answer:
less than 1
Step-by-step explanation:
I know this because since it is a negative exponent you go backwards.
do you guys know this by any chance
Answer:
[tex]10^{17}[/tex]
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
10
. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
what your expect to gen.math subject
A puppy named Boots started out at 4 pounds and gained 3 pounds every month. At how
many months did Boots weigh 25 pounds?
Answer: 7 months
Step-by-step explanation:
He started at 4 pounds so if he grew 3 pounds every month, it would take 7 months to grow 21 pounds. 21 pounds plus 4 pounds is 25 pounds.
Answer:
7 months
Step-by-step explanation:
3 times 7 is 21 than you add the original 4 and get 25 so therefore the answer is 7 months
jerry has 5115 in his savings account and $65 dollars in his checking account If Jerry deposits 520 to his savings account each week and 545 to his checking
account each week, how many weeks will it be until the two accounts have the same amount of money?
Answer:
I
Step-by-step explanation: