Answer: The slope is -6.
Step-by-step explanation:
(1,2) (0,8)
2-8= -6
1-0= 1
-6/1= -6
On an average day, a horse might drink 50 L a sheep might drink 4 l and a chicken might drink 200 mL how much water would a farm need with 4 horses 8 sheep and 16 chickens need for a day
Answer:
The farm would need 235.2 liters daily for 4 horses, 8 sheep and 16 chickens.
Step-by-step explanation:
The daily consumption of water in the farm must be:
[tex]x = (4\,horses)\times \left(50\,\frac{L}{horse} \right) + (8\,sheep)\times \left(4\,\frac{L}{sheep} \right) + (16\,chickens)\times \left(0.2\,\frac{L}{chicken} \right)[/tex]
[tex]x = 235.2\,L[/tex]
The farm would need 235.2 liters daily for 4 horses, 8 sheep and 16 chickens.
Find the arc length of a sector with a radius of 9 feet and a central angle of 18°. Give answer in
terms of pi.
Answer:
The arc length of a sector:
[tex]A = \frac{9}{10} \pi[/tex]
Step-by-step explanation:
-The equation for finding the Arc length, would be:
[tex]Arc length = \frac{a}{360\textdegree} 2\pi r[/tex]
-Use the given radius and the central angle for the equation:
[tex]A = \frac{18\textdegree}{360\textdegree} 2\pi (9)[/tex]
-Then, solve the equation:
[tex]A = \frac{18\textdegree}{360\textdegree} \times 2\pi \times 9[/tex]
[tex]A = \frac{1}{20} \times 2\pi \times 9[/tex]
[tex]A = \frac{2}{20}\pi \times 9[/tex]
[tex]A = \frac{1}{10}\pi \times 9[/tex]
[tex]A = \frac{9}{10}\pi[/tex]
So, the arc length of a sector is [tex]\frac{9}{10} \pi[/tex] .
A 15 feet tree casts a shadow that is 8 feet long. What is the distance from the tip of the tree to the tip of it's shadow?
Answer:
17 feet
Step-by-step explanation:
I used the Pythagorean theorem to answer this question.
a^2 + b^2 = c^2
15^2 + 8^2 = c^2
225 + 64 = c^2
289=c^2
c^2=289
c=√289
c=17 feet
The length of the tip of the tree to the tip of it's shadow will be;
⇒ 17 feet
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given that;
A 15 feet tree casts a shadow that is 8 feet long.
Now,
Since, A 15 feet tree casts a shadow that is 8 feet long.
Hence, The length of the tip of the tree to the tip of it's shadow = x feet
So, We get by using the Pythagoras theorem;
⇒ x² = 15² + 8²
⇒ x² = 225 + 64
⇒ x² = 289
⇒ x = √289
⇒ x = 17
Thus, The length of the tip of the tree to the tip of it's shadow will be;
⇒ 17 feet
Learn more about the Pythagoras theorem visit:
https://brainly.com/question/343682
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Please help! will give brainliest
Answer:
First, she notes down her current position as point A.
Then she checks out on the other bank, a big stone (point B) or something (which is not too far from her), she then goes along the bank to the point C so that BC is perpendicular with the bank.
If she can mark down the distance she walked AC and the angle BAC, then she can calculate the width of river (AB) by formula:
BC = AC x tan(BAC)
Hope this helps!
:)
Which statement is true?
pls help me ! * ill give you BRAINLIST , have to get it right !
Answer:
The y value of Function A when x = -4 is greater than the y value of Function B when x = -4.
Step-by-step explanation:
A.) y = 2(-4) + 5 = -8 + 5 = -3
B.) y = 2(-4) + 2 = -8 + 2 = -6
-3 is greater than - 6.
Mike discovered that the pool in his backyard is leaking slowly. The pool holds 16,307 gallons of water, and is leaking at a rate of 4 gallons per day. If Mike does not replace the water that has leaked from the pool, how many gallons of water will remain in the pool after 192 days?
Answer:
15,539 gallons will remain after 192 days
Step-by-step explanation:
16,307 - 4x = y
Plug in 192 for x since that's how many days will have passed.
16,307 - 4(192) = y
4 x 192 = 768
Then, subtract 768 from 16,307 to see how many gallons will remain.
16,307 - 768 = 15,539
Answer:
15,539 gallons
Step-by-step explanation:
16,307 - 4x = y;
16,307 - 4(192) = y;
4 x 192 = 768;
16,307 - 768 = 15,539
Justin works as a car salesman. Last week, he had a total of $42,000 in sales. If his commission is 2%, how much did Justin earn last week?
Answer: $840
Step-by-step explanation:
42,000 total sale multiplied by .02 sales commission
42,000x.02 = 840
Question 2: What is a sample space in an event?
A.the total amount of outcomes
B.a list of all the different possible outcomes
C.any random possibilities that you can think of
Answer:
B. I'm petty sure about this one but cant quite put it into words Hoped this helped!!
Let x and y be real numbers such that x^2 + y^2 = 4(x + y). Find the largest possible value of x.
Answer:
The largest possible value of x is 2 + √8
Step-by-step explanation:
Given;
x² + y² = 4(x + y)
This is an equation of circle
x² + y² = 4x + 4y
x²- 4x + y² - 4y = 0
complete the square by taking half of coefficient of x and y, then add the squares to both sides;
x²- 4x + (-2)² + y² - 4y + (-2)² = (-2)² + (-2)²
factorize
(x - 2)² + (y - 2)² = √8
This circle has its center at (2, 2) with a radius of √8
The largest x-value occurs at the right end of the circle = x value of the center plus the radius = 2 + √8
can someone help me with a series of questions?
Answer:
yes
Step-by-step explanation:
send the questions....
A factory sells backpacks for $40.00 each. The cost to make 1 backpack is $10.00. In addition to the cost of making backpacks, the factory has operating expenses of $12,000 per week. The factory's goal is to make a profit of at least $9,800 per week. Which inequality represents the number of backpacks, x, that need to be sold each week for the factory to meet this goal?
Answer:
The factory needs to sell 327 packbacks to make at least 9,800 per week.Step-by-step explanation:
We know that each backpacks is sold for $40.00.
The goal is to make at least $9,800 per week. With this information we can define the inequality
[tex]40x -10x \leq 9,800[/tex]
Where [tex]x[/tex] represents backpacks. Notice that this inequality is about profits, that's why we subtract the cost from the sell price, in this case, the profid margin is $30.00 per backpack, so
[tex]30x\leq 9,800[/tex]
Solving for [tex]x[/tex]
[tex]x\leq \frac{9800}{30}\\ x \leq 326.67[/tex]
Therefore, the factory needs to sell 327 packbacks to make at least 9,800 per week.
The width of a rectangle is 7 units less than the length. The area of the rectangle is 18 units. What is the length, in units, of the rectangle?
Answer:
9
Step-by-step explanation:
If a cone has a 5inch radius and a 12inch height what is the volume of the cone
Answer:
V = 75π
Step-by-step explanation:
The volume of a cone is πr^2 * h / 3
r = 5
h = 12
25π * 3 = 75π
Answer:
Step-by-step explanation:
r = 5 inches
h = 12 inches
Volume of cone = (1/3)πr²h
[tex]\frac{1}{3}*\pi *5*5*12\\=\pi *5*5*4[/tex]
= 100π cubic inches
Does anyone know geometry?
Answer:
286m²
Step-by-step explanation The formula to find the surface area of a rectangular prism is A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height.
Answer:
286m²Step-by-step explanation:
IDK
Simplify:
(4 + 2i) 2
so the answer is 16+4i ^2
Look at the attached picture
Hope it will help you
Good luck on your assignment
He fills the pencil holder with sand before he wraps it to make it feel like a heavy, expensive gift. How much sand will he need to "borrow" from his sister's sandbox to fill the pencil holder? *
1 point
a) 21 cubic inches
b) 7.5 cubic inches
c) 9.375 cubic inches
d) 10.5 cubic inches
e) 15 cubic inches
NEEEED help ASAP please!
Answer:
d) 10.5 cubic inches
Step-by-step explanation:
[tex]volume = \frac{1}{2} \times 3 \times 2 \times 3.5 \\ = 3 \times 3.5 \\ = 10.5 \: cubic \: inches[/tex]
Answer:
(a 21
Step-by-step explanation:
3 times 3.5= 10.5
10.5 times 2= 21
-2(3x)+1=7-6x
X Is equal to what
Answer:
there is no solution
Step-by-step explanation:
When we solve it, the first step is [tex]-6x+1=7-6x[/tex].
-6x+6x is 0, so there is no solution
Answer:
There are no solutions.
Step-by-step explanation:
Let's solve your equation step-by-step.
−2(3x)+1=7−6x
Step 1: Simplify both sides of the equation.
−2(3x)+1=7−6x
−6x+1=7+−6x
−6x+1=−6x+7
Step 2: Add 6x to both sides.
−6x+1+6x=−6x+7+6x
1=7
Step 3: Subtract 1 from both sides.
1−1=7−1
0=6
Hope this helps.
What is the surface area of a cylinder with base radius 4 and height 5?
Either enter an exact answer in terms of PI or use 3.14 for PI and enter your answer as a decimal.
Step-by-step explanation:
S = (2 * pi * r^2) + (2 * pi * r * h)
S = (2 * pi * 4^2) + (2 * pi * 4 * 5)
S = (32 pi) + (40 pi) = 72pi = 226.08 ANS.
In the figure shown below,
DE || AB. What is the length of BE?
A. 24cm
B. 26 cm
C. 33 cm
D. 36 cm
Answer:
DE//AB, applying Thales theorem:
CD/DA = CE/EB
=> EB = DA x CE/CD = 39 x 12/18 = 26 cm
=> Option B is correct
Hope this helps!
:)
If LO ≅LM and OP ≅ PM , then a correct conclusion would be:
ΔLMP ≅ ΔLOP by AAA.
ΔLMP ≅ ΔLOP by SSA.
ΔLMP ≅ ΔLOP by SSS.
None of these choices are correct.
Answer:
Step-by-step explanation:
None of these Choices are correct..
Help!!!! Which represents the base of the cone
Answer:
the first option
Step-by-step explanation:
the 6 represents the diameter of the base
the 4 represents the height of the cone
if it needs a radius to solve the problem, divide the diameter by 2 (aka half of the diameter)
Please help me ASAP. Need to hand in by today
Step-by-step explanation:
Pls ignoré the scribbled part.
If 8x−4y=20 and 4x−8y=4, what is the value of x−y
Answer:
x-y=3-1=2
Step-by-step explanation:
[tex]8x-4y=20[/tex] [tex]4x-8y=4[/tex]
[tex]8x=20+4y[/tex] [tex]4(\frac{20+4y}{8})-8y=4[/tex]
[tex]x=\frac{20+4y}{8}[/tex] [tex]\frac{80+16y}{8} -8y=4[/tex]
[tex]x=\frac{20+4}{8}[/tex] [tex]10+2y-8y=4[/tex]
[tex]x=\frac{24}{8}[/tex] [tex]10-6y=4[/tex]
[tex]x=3[/tex] [tex]-6y=4-10[/tex]
[tex]-6y=-6[/tex]
[tex]y=1[/tex]
so x-y=3-1=2
plzzzzzzzzzzzzzzzzzzzzzzzzzzz neeeed helpppppppppppppppppppppp
Answer:
D
Step-by-step explanation: hope this helps
The leading coefficients of 3x^2-3x-4=0
Answer:
3
Step-by-step explanation:
Leading Coefficients are numbers in front of the variable (x in this case) with the largest exponent (2 in this case)
3x^2 where 3 is the number in front of the variable.
What is the area of the triangle?
Answer:
4
Step-by-step explanation:
The area of a triangle is
A=1/2 bh
Where b is the base and h is the height
A = 1/2 (4)(2)
A = 4
A painter charges $12 per hour plus $50 for every job. If he made $194 on a job, how many hours did he work?
Answer:
12
Step-by-step explanation:
194-50=144
144/12=12
Answer:
12 hours
Step-by-step explanation:
We can start with an equation: 12x+50 = 194 (x being number of hours)
solving gives 12x = 144
x = 144/12
x = 12
a: b = 7:2
How many times larger is a than b ?
Answer:
Step-by-step explanation:
A/b = 7 / 2
Then
A / b = 3½
A = 3½ × b
Then, a is 3.5 times greater than b.
Can somebody answer this...
Answer:
1. 72
2. 60
3. 35
4. 32
Step-by-step explanation:
1. 6 x 4 x 3= 72
2. 5 x 3 x 4= 60
3. 5 x 2 x 2= 20
5 x 3 x 1= 15
20 + 15= 35
4. 5 x 3= 15
2 x 2=4
4 x 8= 32
What is -3 1/3 + (-1 2/3)?
Answer:
-5
Step-by-step explanation:
-3 + -1 = -4
-1/3 + -2/3 = -1
-1 + -4 = -5