Answer:
312 in^2
Step-by-step explanation:
Yet again, not the best way but let's add up all the sides...
2(24+96+36) = 2(156) = 312 in^2
Hope this helped!
A farmer has an orchard that covers an area of 40 acres. He grows apples on 25 acres, peaches on 7 acres, nectarines on 5 acres, and plums on 3 acres. The fruit trees are equally distributed within the orchard. A tree is chosen at random. Rounded to the nearest tenth of a percent, what is the theoretical probability that the tree is not within the acres of apple trees
Answer:
37.5%
Step-by-step explanation:
Calculation to determine the theoretical probability that the tree is not within the acres of apple trees
Using this formula
P=(Number of all orchard acres - Apple acres)/(Total orchard acres)*100
Where,
P represent Probability
Let plug in the formula
P=(40 acres- 25 acres)/40 acres
P=15 acres/40 acres *100
P=3/8*100
P=.375*100
P=37.5%
Therefore the THEORETICAL PROBABILITY that the tree is not within the acres of apple trees is 37.5%
Answer:
the answer is 37.5
Step-by-step explanation:
it is
The probability that Jess will answer any question correctly, independently of her answer to any other
question, is p (p > 0). Let the random variable Y be the number of questions that Jess answers
correctly in any set of 25.
If Pr(Y > 23) = 6 x Pr(Y = 25), show that the value of p is 5/6
Answer:
I hope my answer helps :)
Step-by-step explanation:
P(Y > 23) = P(Y = 24) + P(Y = 25)
6P(Y=25) = P(Y = 24) + P(Y = 25)
6 = P(Y = 24)/P(Y = 25)+ 1
5 = (²⁵C24×p²⁴×q¹)/(²⁵C25×p²⁵×q⁰)
Since you know that q = 1 - p,
5 = 25{[p²⁴(1 - p)]/p²⁵}
1/5 = (p²⁴ - p²⁵)/p²⁵
1/5 = p^(-1) - 1
6/5 = 1/p
p = 5/6 (shown)
What are the x-intercepts of the graph of the function below?
y= x^2+3x – 28
A. (6,0) and (4,0)
B. (-7,0) and (-4,0)
C. (7,0) and (-4,0)
D. (-7,0) and (4,0)
QUESTION 2 Write the slope-intercept form of the equation of the line through the gran point micia the grea slope through: (5,-2), siope--1 Oay=-2=6 Oby=-2-3 O cy=-x=3 Ody=-z-6
Answer:
y = -x+3
Step-by-step explanation:
Slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = -1x +b
Using the point for x and y we can calculate b
-2 = -1(5)+b
-2 = -5+b
Add 5 to each side
-2+5 = b
3 = b
y = -x+3
Cho đa thức f(x) = biết rằng f(1)=f(-1); f(2)=f(-2).
Chọn câu đúng :
A. f ( x ) = f ( −x) với mọi x
B. f ( x ) = − f ( −x) với mọi x
C. f ( x ) = 2 f ( −x) với mọi x
D. f ( x ) = 3 f ( −x) với mọi x
Answer:
A
Giải thích:
f(1)=f(x)
f(-1) và f(-2)= f(-x)
=> f(1)=f(-1) =A. f(x)=f(-x)
D.2 please help I’ll mark brainliest
Answer:
At 2
Step-by-step explanation:
I think it is because it slants down instead of going up. That is the reason why I say my answer is at 2.
HOPE THIS HELPED
Hello!! Please help me ASAP
Using special right triangles show and explain all work for each problem. Each solution and work should demonstrate your understanding of Special Right Triangles (30-60-90 and 45-45-90)
Find the missing side length and angle of this triangle. I've attached the triangle.
Answer:
Step-by-step explanation:
The basic 30-60-90 triangle ratio is:
Side opposite to 30° angle is : x
Side opposite to 60° angle is : x √3
Side opposite to 90° angle is : 2x
From the diagram we learn that
x√3 = 10
[tex]x = \frac{10}{\sqrt{3}}=\frac{10*\sqrt{3} }{\sqrt{3}*\sqrt{3}}\\\\x=\frac{10\sqrt{3}}{3}= 5.77\\[/tex]
∠T = 30°, Side opposite to ∠T is AC = 5.77
∠A = 90°, side opposite to ∠A is TC = 2x = 2*5.77 = 11.54
A rectangle with a perimeter of 113 units is dilated by a scale factor of 3. Find the
perimeter of the rectangle after dilation. Round your answer to the nearest tenth, if
necessary.
Answer:
339 units
Step-by-step explanation:
You simply multiply the perimeter of the original rectangle by three to get the perimeter of the new rectangle.
use the ratio of a 30-60-90 triangle to solve for the variables.
Answer:
X = 32, y = 16
Step-by-step explanation:
Cos 30 = (16√3) ÷ x
x = (16√3) ÷ cos 30
x = 32
Sin 30 = y ÷ 32
y = 32 sin 30
y = 16
A piece of wire, 12.55m long is cut into 50 pieces of equal length. How long is each piece?
Answer:
Each wire is 0.251 m
Step-by-step explanation:
[tex] = \frac{12.55}{50} \\ \\ = 0.251[/tex]
Answer:
length of wire= 12.55m= 1255cm
Number of pieces= 50
length of each piece=?
length of each piece = 1255/ 50
length of each piece= 25.1cm= 0.251m
Find the area of the regular polygon. Round your answer to the nearest hundredth.
Answer:
Step-by-step explanation:
The central angle of a hexagon is 60 degrees. Drop a line from the center to the middle of the side marked 7.
Use the tan of the angle so formed (which is 30 degrees)
Tan(30)= opposite / height (which is the line you just drew).
Tan(30) = 3.5 / h
Tan(30) = 0.5774
Tan(30) = 3.5 / h multiply both sides by h
h*Tan(30) = 3.5 Divide by tan30
h = 3.5 / Tan(30)
h = 3.5 / 0.5774
h = 6.062
Now from both ends of the given side, draw 2 lines to the center. Find the area of that triangle.
Area of 1 triangle = 1/2 * b * h
area of 1 triangle = 1/2 * 7 * 6.062
Area of 1 triangle = 21.2176
There are 6 such triangles so multiply that number by 6
Answer: 6 * 21.2176
Answer: 127.31
Johnson bought a wrist watch for $y and sold it at a loss of 15% Write an expression for the selling price.
A. 0.85 y
B. 0.85
C. 85 y
D. 1.159
HELPPPPP ILL GIVE BRAINLIEST
Answer:
0.85y
Step-by-step explanation:
Cost of the wrist watch = $y
Present percentage = 100%
Percentage Loss = 15%
Selling price = (Present percentage - Percentage Loss) * Cost of the wrist watch
= (100% - 15%) * y
= 85% * y
= 85/100 * y
= 0.85 * y
= 0.85y
Selling price = 0.85y
kendra is 3 times her dauters age plus 7 years kendra is 49 years old. write an equation to find he duaghters age?
Answer:
3x+ 7 =49
Step-by-step explanation:
49-7= 42
42 divided by 3 = 14
her daughter is 14 years old
I truly hope this helped, it makes sense to me. I wasn't sure whether or not you needed a more detailed equation, but that's one.
have a great day!
Write the equation of the line that passes through the points (−4,1) and (−9,5). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Help plz
Step-by-step explanation:
gradient(m)=change in y/change in x
=5-1/-9-(-4)
=4/-9+4
=4/-5
equation now
y-y1=m(x-x1)
y-1=4/-5[x-(-4)]
y=4/-5(x+4)+1
y=-4/5x-16/5+1
y=-4/5x-21/5
Answer:
y = -4/5x - 11/5
Step-by-step explanation:
First, find the slope using the slope formula.
[tex]m=\frac{y_1-y_2}{x_1-x_2}\\\\m=\frac{1-5}{-4-(-9)}\\\\m=-\frac{4}{5}[/tex]
Then, use the point-slope formula and substitute the values for the variables. I'll use (-4, 1) in this instance.
[tex]y-y_1=m(x-x_1)\\\\y-1=-\frac{4}{5}(x+4)\\\\y-1=-\frac{4}{5}x-\frac{16}{5}\\\\y=-\frac{4}{5}x-\frac{11}{5}[/tex]
What is 51809 rounded to 1,2 and 3 significant figures?
PLSS HELP
Answer:
1 significant figure: 50,000 2 significant figures: 52,000 3 significant figures: 51,800
Step-by-step explanation:
FIrst, a significant figure is basically a non-zero digit (at least in your case). Basically, the 1 significant figure in your case would be to the nearest 10 thousand, which would be 50,000. Now, for 2 significant figures. This would be the nearest thousand, 52,000. Finally, 3 significant figures is to the nearest hundred, aka 51,800. Note: If you find a problem like this again 0 in between two digits that aren't 0 is a significant digit, aka the 0 in 51809. Hope this helped!
Guys please help me find the answer to this
Answer:
C
Step-by-step explanation:
The colony will follow an exponential equation. y(x) = 8000*(2)^(t/210). Plug in t=630 and you will get y(x) = 64000
Simplfy |8|+|-3|-|-7|
Step-by-step explanation:
|8| + |-3| - |-7|
= 8 - 3 + 7 = 12
Which is a point on the circle whose center is (0, 0) and whose radius is 5?
A. (2, 3)
B. (0, 0)
C. (3, 4)
D. (4, 5)
The equation of the circle whose center is (0, 0) and whose radius 5 is x² + y² = 25.
What is an equation of a circle?A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at (h,k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x-a)²+(y-b)² = r²
Where (a, b) is the centre and 'r' is the radius
We have a circle with centre (0, 0) and radius of 5.
Now, Substituting these value into the equation form, we have
(x-0)²+(y-0)² = 5²
x² + y² = 25
Hence, the equation of the circle whose center is (0, 0) and whose radius 5 is x² + y² = 25.
Learn more about equation of a circle here:
https://brainly.com/question/10165274
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How many solutions does 6 - 3x = 4 - X-3 - 2x have?
O A. Infinitely many solutions
O B. No solutions
C. Two solutions
D. One solution
Answer:
6 - 3x = 4 - X-3 - 2x
-3x+x+2x=4-6-3
0x=-5
No solutions
I'LL GIVE BRAINLIEST !!! FASTER
please explain how do you get the answer !
Answer:
70
Step-by-step explanation:
we have the angle of vertex in the isosceles triangle = 180-2*bottom coner= 180-65/2=50
3 angles in the equilateral triangle are equal to 60
we have 50 + 60 +h =the angle of PQR =180
h=70
Answer: h = 70°
In the triangle with Angle R = 65
It is a isoceles triangle as two sides are equal
So base angles will be equall too
Then the third angle will which is the q one will be
65+65+q = 180
q = 180 - 130
q = 50
In the other triangle with all sides equal will be equilateral triangle which means all angles equal = 60
So
Now ATQ
60 + 50 + h = 180
h = 180 - 110 (Angles on a straight line adds upto 180)
h = 70
Must click thanks and mark brainliest
what is the rename of 10/21
Answer: ten Twenty-one
Step-by-step explanation:
10/21
Why do 6.52 x 10^3 and 652,000 ÷ 10^2 have the same answer?
Answer:
6.52 x 10^3 is just basically 6.52 × 1000, which is 6520. But 652,000 ÷ 10^2 is just 652000 ÷ 100, which is 6520. That's why they have the same answer.
State the equation, in slope-intercept form, of each of the following graphs of linear relations.
Explain how the equation was determined.
Answer: y=80/5x+80
Step-by-step explanation:
At one point graph goes from (0,400) to (25,800). So the y intercept is 400 because that’s where the line was at x=0. 0 to 25 is 25. 400 to 800 is 400. So the equation would be y=400/25x+400. But you can divide all of it by 5 to get y=80/5x+80.
secA-tanA=(cosA/2-sinA/2)/(cosA/2+sinA/2)
Answer:
Step-by-step explanation:
SecA - TanA
= 1/CosA - SinA/CosA
= 1 - SinA/CosA
We know that Sin2A = 2SinACosA and Cos2A = Cos²A - Sin²A
Thus SinA = Sin2(A/2) = 2Sin(A/2)CosA/2
CosA = Cos2(A/2) = Cos²A/2 - Sin²A/2
Now substituting the values back,
=> 1 - 2Sin(A/2)Cos(A/2) / Cos²(A/2) - Sin²(A/2)
// we know that Sin²θ + Cos²θ = 1
=> Sin²(A/2) + Cos²A/2 - 2Sin(A/2)Cos(A/2) / Cos²(A/2) - Sin²(A/2)
//We know that numerator is of form a² + b² - 2ab which is (a - b)².
//Similarly denominator is of form a² - b² which is (a - b)(a + b)
=> [Sin(A/2) - Cos(A/2)]² / [Cos(A/2) + Sin(A/2)][Cos(A/2) - Sin(A/2)]
=> [ - {Cos(A/2) - Sin(A/2)}]² / [Cos(A/2) + Sin(A/2)][Cos(A/2) - Sin(A/2)]
=> [Cos(A/2) - Sin(A/2)]² / [Cos(A/2) + Sin(A/2)][Cos(A/2) - Sin(A/2)]
=> [Cos(A/2) - Sin(A/2)] / [Cos(A/2) + Sin(A/2)]
= R.H.S
Hence proved.
1.) You plan to cut a board into 3 pieces to repair part of a railing. You are going to cut the two ends of the board off into two equal pieces that are 1.4 feet long, if the remaining piece needs to be 1.17 times longer than the each of the first two cuts what length board should you buy? Round to the nearest tenth.
The board length that will be bought is 4.438 feet
Since the board will be cut into 3 pieces. From the information given in the question, the lengths of the board will be:
= 1.4 feet + 1.4 feet + (1.17 × 1.4 feet)
= 1.4 feet + 1.4 feet + 1.638 feet
= 4.438 feet
In conclusion, the board length that should be bought is 4.438 feet.
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what is the solution to the equation x² = 16?
Answer:
x = 4, x = -4
Step-by-step explanation:
Step-by-step explanation:
Move terms to the left side
2=16
x^{2}=16x2=16
2−16=0
Use the quadratic formula
Simplify
Evaluate the exponent
Multiply the numbers
Add the numbers
Evaluate the square root
Multiply the numbers
=0±82
2
Separate the equations
To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.
=0+82
x= 0 + 8 over 2
=0−82 over 2
Rearrange and isolate the variable to find each solution
=4
x=4x=4
ans =−4
COULD A KIND SOUL PLEASE HELP ME OUT???!!!!!!
Determine the measure of x in the figure below.
show how you go the answer so I can see if it makes sense!!!
Answer:
138
Step-by-step explanation:
x is an exterior angle of a triangle.
If you didn't know, an exterior angle of a triangle is equal to the sum of its opposite interior angles.
The opposite interior angles of x have measures of 80 degrees and 58 degrees.
Hence, x = 80 + 58 = 138
Answer:
138
80+58 = 138
180 - 138 = 42
42+x = 180
x = 180-42 = 138
Step-by-step explanation:
which has a steeper slope y=-2x or y=-3x
Answer:
y=-3x
Step-by-step explanation:
3>2. It doesn't matter if some or all of the numbers are negative.
Answer: y = -3x has the steeper slope
==========================================
Explanation:
Any linear equation is of the form y = mx+b, where m is the slope.
For y = -2x, the slope is -2. For y = -3x, the slope is -3.
We just look at the number to the left of x to find the slope.
To figure out which slope is steeper, we simply look to see which slope value is furthest from 0 on the number line. A slope of 0 itself is completely horizontal and flat. As the slope value moves away from zero, in either positive or negative direction, then the slope gets steeper and steeper.
In short, a slope of -3 is more steep compared to a slope of -2. Therefore, y = -3x is the answer.
The graph below helps visually confirm that y = -3x is indeed steeper. We drop one extra unit down each time we move to the right one space.
Describe and correct the error in the statement about the relation shown in the table. Select all that apply.
A) The relation is not a function because the output 6 has two inputs.
B) The relation is not a function because one output is paired with multiple outputs.
C) The given list is the domain of the function. The range is 6, 7, 8, 9.
D) The given list is missing elements of the range. The range is 1, 2, 3, 4, 5, 6, 7, 8, 9.
Answer:
According to provided table we have:
x- values = domain = 1, 2, 3, 4, 5y- values = range = 6, 7, 8, 9We know that a function is a such relationship where each input has exactly one output.
Now, the answer choices:
A) The relation is not a function because the output 6 has two inputs.
Incorrect, a function can have multiple inputs with same output.B) The relation is not a function because one output is paired with multiple outputs.
Incorrect, there is no such relationship according to given table.C) The given list is the domain of the function. The range is 6, 7, 8, 9.
The list of domain is not given but as shown above it is 1, 2, 3, 4, 5. The range is correct.This is a correct choice.D) The given list is missing elements of the range. The range is 1, 2, 3, 4, 5, 6, 7, 8, 9
Incorrect, this is a combination of the domain and the range.Solve the inequality: (x −3)12+ 2 ≥4
Question 14 options:
A)
x ≥ 35
B)
x ≥ 13
C)
x ≥ 11
D)
x ≥ 7
Answer:
Its c
Step-by-step explanation: