Answer:
[tex]Area = 10[/tex]
Step-by-step explanation:
Given
[tex]A = (2,1)[/tex]
[tex]B =(4,7)[/tex]
[tex]C =(6,3)[/tex]
Required
The area of the park
The outline is a triangle and as such, the area is calculated using:
[tex]Area = \frac{1}{2}|(x_1y_2 - x_2y_1) + (x_2y_3 - x_3y_2) + (x_3y_1 - x_1y_3)|[/tex]
This gives:
[tex]Area = \frac{1}{2}|(2*7 - 4*1) + (4*3 - 6*7) + (6*1 - 2*3)|[/tex]
Using a calculator, we have:
[tex]Area = \frac{1}{2}|-20|[/tex]
Remove absolute bracket
[tex]Area = \frac{1}{2}*20[/tex]
[tex]Area = 10[/tex]
Jason poured 1 gallon 1 quart of water into an empty 2-gallon bucket. How much more water can be added to reach the bucket's 2-gallon capacity?
Answer: 3 quart
Step-by-step explanation:
Given
Jason poured 1 gallon 1 quart of water into an empty 2 gallon bucket
1 gallon can be written as 4 quart
So, 2 gallon can be written as 8 quart
Subtract 1 gallon 1 quart(5 quart) from 2 gallon(8 quart) to get the volume added
[tex]\Rightarrow 8-5\\\Rightarrow 3\ \text{quart}[/tex]
So, 3 quart of water must be added to reach 2 gallon capacity.
find the total surface area of a triangular prism 17cm 8cm 7cm 15cm
Answer:
hey I don't know which one is the hight
Badwater Basin, California, has the lowest elevation in North America. It is 279 feet below sea level. New Orleans, Louisiana, is 7 feet below sea level.
Answer:
272 feets
Step-by-step explanation:
Badwater Basin = 279 feets below sea level = - 279 feets (relative to sea level)
New Orleans = 7 feets below sea level = - 7 feets (relative to sea level)
Hence,
New Orleans is higher Than Badwater Basin by :
279 feets - 7 feets
= 272 feets
Calculate the slope: (3, 3) and (6, -5)
Step-by-step explanation:
[tex] \frac{ - 5 - 3}{6 - 3} [/tex]
which is
[tex] \frac{ - 8}{3} [/tex]
Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit.
Answer: 1436 units cubed (3.14) or 1437 units cubed (π)
Step-by-step explanation:
answer depends on if you substitute in 3.14 for π or not
49 × 66 + 49 × 34 = 49 × ( ____+ _____)
Answer:
49×66+49×34 = 49× (66+34)
Answer:
49×66+49×34 = 49× (66+34)
Step-by-step explanation:
Use the function p(x)=4x-3
what is p(3)
Answer:
9!
Step-by-step explanation:
Use the given functions to set up and simplify p ( 3 ) .
-barbara
Answer:
9
Step-by-step explanation:
p(x)= 4X-3
P(3)= 4×3-3=9
Four coins are tossed in succession. What is the probability of getting all heads?
1/4
1/2
1/16
Answer:
1/16
Step-by-step explanation:
There is a 1/2 chance to flip a heads.
So, in this case, we would multiply 1/2 four times in reference to the coins being flipped a total of 4 times to find its probability.
1/2 x 1/2 x 1/2 x 1/2 = 1/16
Thus, there is a 1/16 chance that you'd get heads four times in a row.
Find the value of x, please help me :)
Answer:
x=32
Step-by-step explanation:
To make the lines parallel, the sum of the angles must be equal to 180. 2x+3x+20=180, 5x=160, x=32
PLEASE HELPP!
A cylinder has the volume of 1000 pi show with working that if the height = 20cm then the radius = 5 cm.
Answer:
5^2 = 100
100 x 3.14 = 314
Now we multiply by 20 since it's the height.
314 x 20 = 6,280 cm^3 is your answer.
Formula of cylinder:
H x πr^2
Height x pi(3.14 or 22/7 depending what they tell you to use for pi) x radius being squared (your radius is half of your diameter or given radius).
Use similarity to solve for the length of side XY. Round to the nearest tenth.
Answer:
5.1
Step-by-step explanation:
Please help me thanks :))
Answer:
What do you need help with?
PLEASE HELP!
A jar can hold 3/4 of a pound of flour. Austin empties 1/2 of a pound of flour into the jar. What fraction of the jar is filled? Enter your answer in numerical form.
Three times the difference of a number and four is equal to eighteen
Answer:10
Step-by-step explanation:
3x6=18 and 10-4=6
Answer:
3X + 4=18+ X
2X =14
X = 7
So the answer is equal to 7
Pls help will mark brainliest
Answer:
[tex] \large \boxed{ \boxed{ \tt x \geqslant 2 \: \: is \: \: the \: \: domain \: \: of \: \: function}}[/tex]
Step-by-step explanation:
We are given the square root function below:
[tex] \large{g(x) = \sqrt{x - 2} }[/tex]
Recall that domain is the set of all x-values and that a number inside the square root cannot be negative.
From the given square root function above, substituting x >= 2 gives a positive output. But if we substitute x < 2, evaluating the numbers inside result in negative number in the square root which does not exist in Real Number.
Hence,
[tex] \large{y = \sqrt{x - a} }[/tex]
And thus, the domain is
[tex] \large \boxed{x \geqslant a}[/tex]
Since if x < a, the output would become an imaginary number.
From the given function,
[tex] \large{g(x) = \sqrt{x - 2} }[/tex]
From the form of sqrt(x-a) where domain is a-term which is 2.
Since a = 2, and thus
[tex] \large \boxed{x \geqslant 2}[/tex]
It takes 0.75 cups of sugar to make a batch of lemon cookies. I have 5.5 cups of sugar. How many batches can I make?
Answer:
7
Step-by-step explanation: 5.5 divided by 0.75 is 7.3333333333
Use the Distributive Property to rewrite 10y - 15? Use the Distributive Property to rewrite 6 (3 - 3y)? Keanna read that hummingbirds prefer food that is approximately 20% corn syrup. If she wants to make 8 quarts of this hummingbird food, how much corn syrup should she use?
Answer:
5(2y - 3)
18(1 - y)
1.6 quatrz of corn syrup
Step-by-step explanation:
Using distributive property :
10y - 15
5(2y - 3)
6(3 - 3y)
6*3 - 6*3y
18 - 18y
18(1 - y)
C.)
20% of corn syrup
Amount of food to make = 8 quartz
20% of 8 quartz
20% of 8
0.20 * 8
= 1.6 quartz of corn syrup
Solve for 2. Round to the nearest tenth, if necessary.
Answer: the answer is 51.41281
Step-by-step explanation:
Sin=opp/hyp. sin(40)=x/69. x=69sin(40). x=51.41281
help please i forgot how to do it, its easy tho
Answer:
answer is 20................................
Write the equation of the line through (8,-2); m = 0
ANSWER ASAP PLEASE!!
Answer:
y = -2
Step-by-step explanation:
The formula for point-slope is as follows:
y - y1 = m(x - x1)
We are given the slope, m, or 0, and we are given the point (8, -2), which we can substitute into the point (x1, y1):
y + 2 = 0(x - 8)
y + 2 = 0
y = -2
NEED HELLPPP ASAP
(Thank you)
Answer:
ask your teacher it would be good for you and also teachers give u good thing about that okay but i can't help you sorry.
Step-by-step explanation:
please help i need help
no links or ill report you
Jerry 1/5 of his allowance on a book and 3/8 of the remainder of his allowance for $12.00. Calculate: A.Jerry's allowance B.The cost of the book C.The cost of the pen
Answer:
Allowance = $24
Cost of book = $4.8
Cost of pen = $7.2
Step-by-step explanation:
[tex]Let \ his \ allowance\ be\ x\\\\\frac{1}{5} \ of \ x \ on\ books\\\\\frac{3}{8} \ of \frac{4}{5} \ of \ x\ on \ pen\\\\Balance \ in \ hand = 12[/tex]
[tex]x = \frac{1}{5}x + (\frac{3}{8} \times \frac{4}{5})x +12\\\\x = \frac{1}{5}x + \frac{12}{40} +12\\\\x =\frac{1}{5}x + \frac{3}{10} +12\\\\x - \frac{1}{5}x - \frac{3}{10} =12\\\\\frac{10x - 2x -3x}{10} = 12\\\\\frac{5}{10}x = 12\\\\5x = 12 \times 10\\5x = 120\\x = 24[/tex]
[tex]cost \ of \ book = \frac{1}{5} \times x = \frac{1}{5} \times 24 = 4.8\\\\cost \ of \ pen = \frac{3}{8} \times \frac{4}{5} \times x = \frac{3}{8} \times \frac{4}{5} \times 24 = 7.2[/tex]
Solve for x xx. Your answer must be simplified. − 18 < 9 x −18<9x
Answer:
x > -2
Step-by-step explanation:
-18 < 9x is the inequality, right?
We'll divide both sides by 9 to isolate x
-2 < x or x > -2
what is the equation for this graph?
Answer:
y = 2x -2
Step-by-step explanation:
This is only the answer if you need the slope-intercept form equation.
hey! i’ll give brainliest please help
Answer:
Simple Sentence
Step-by-step explanation:
Which of the following is a repeating decimal?
A: 1/9 B: 4/8 C: 14/7
Henry says he can write an 8 in each box to make both equations true. Is he correct?
Answer:
yes it's true because 3 groups of 8 is 24
An apartment cost $870 per month to rent. The owner raises the price by 20% and then gives a discount of 8% to returners who sign an 18 month lease. How much less the renters who signed the 18 month lease pay per month to rent the apartment
Answer:
$34.8
Step-by-step explanation:
Given data
Cost of apartment= $870 per month
increase= 20%
Discount= 8%
Let us find the amount of increase
=20/100*870
=0.2*870
=$174
New cost = 870+174
=$1044
New cost of apartment for 18 month
=1044*18
=$18792
He gave them 8% discount
=8/100*18792
=0.8*18792
=$15033.6
Hence the monthly fee will be
=15033.6/18
=$835.2
Therefore the difference in price is
=870-835.2
=$34.8
Here is part of a timetable for the Paris to Montpellier express train service.
The average speed of the 20 07 train from Paris is 224 km/h. Work out the distance this train travels from Paris to Montpelli
Answer:
772.8 km
Step-by-step explanation:
Speed is the rate of change of distance. Speed is the ratio of distance travelled to time taken. Average speed is the ratio of the total distance travelled to the total time taken, it is given by:
Average speed = Total distance / total time
The 20 07 train leaves Paris at 20:07 and reaches Montpellier at 23:34. This means that the total time taken is 3 hours 27 minutes, that is 3.45 hours.
Given that average speed is 224 km/h, hence:
Average speed = total distance / total time
224 km/h = total distance / 3.45 h
total distance = 224 * 3.45 = 772.8 km