Hello,
Let's assume x the length of the north's wall
and y the length of west side .
Area:x*y=600 ==> y=600/x
Cost: 2*y*4+5*x=8y+5x= 4800/x+5x
Minimize cost: (4800/x+5x)'=0
-4800/x²+5=0
x²=4800/5
x²=960
[tex]x=8\sqrt{15} \\\\y=5\sqrt{15} \\[/tex]
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.
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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
PLEASE HELP ASAP!! (stuck on this and it's due in 45 mins)
Graph △JKL with vertices J(-3, 4) K (4, 4), and L (6, -2)
1. Graph the image of △JKL after a translation of 1 unit left and 10 units up. Label the image △J'K'L'
2. Then translate △JKL 9 units right and 5 units down. Label this image △J"K"L.
3. What translation would move △JKL to △J"K" L directly?
A. 8 units right and 5 units up
B. 10 units left and 5 units up
C. 8 units right and 5 units up
D. 8 units right and 10 units up?
Answer:
the answer is b, 8 units right, and 5 units up
Step-by-step explanation:
The image of △JKL after a translation of 8 unit right and 5 units up to △J"K" L directly.
What is translation?The act of moving a figure or shape from one location to another is known as translation. A figure can move up, down, right, left, or anywhere else in the coordinate system during translation. The only thing that changes about the object in translation is its position; its size stays the same.
Given Graph △JKL with vertices J(-3, 4) K (4, 4), and L (6, -2)
and Graph the image of △JKL after a translation of 1 unit left and 10 units up. Label the image △J'K'L',
and Then translate △JKL 9 units right and 5 units down. Label this image △J"K"L.
from graph coordinates of △J"K"L are J"(5, 9), K"(4, 1) and L"(14, 3)
change in J to J" is (5 - (-3), 9- 4) =(8 , 5),
same for K to K" and L to L"
ΔJKL moves 8 units right and 5 units up to △J"K"L"
Hence 8 units right and 5 units up translation would move △JKL to △J"K" L directly.
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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:
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.
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
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!
Daisy (5,9,2,6,14,3)
Milkweed (10,8,22,12,12,9)
Coneflower (3,7,2,10,16,7)
A biology class took a field trip. The students counted the number of daisy, milkweed, and coneflower plants in six different locations. The data sets are shown above. What is the overall range in the number of plants for all three types of plants?
Answer:
The overall range is 20
Step-by-step explanation:
Given
The above dataset
Required
The overall range
Range is calculated as
[tex]Range = Highest - Lowest[/tex]
The highest of the dataset is 22, and it can be found in Milkweed.
The lowest of the dataset is 2, and it can be found in Daisy
So, the range is:
[tex]Range = 22 - 2[/tex]
[tex]Range = 20[/tex]
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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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
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
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]
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:
ANSWER QUICK !!
Yuri is participating in a tund-raiser at school. She will receive donations from 2 people. A cousin will donate $0.40 for every 1/8 mile that Yuri walks.
A friend will give Yuri a one-time donation of $30
What is the minimum number of miles Yuri needs to walk to raise at least $507 Enter the answer in the box,
507 - 30 = 477
477 / 0.4 = 1192.5
1192.4 / 8 = 149.0625 miles or 150 miles
i don't know if this is right cause the answer seems so absurd
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
What is the measure of
Answer:
34
Step-by-step explanation:
Angle XYZ is an inscribed angle and arc XZ is the arc it intercepts
An inscribed angle is equal to half the measure of its intercepted arc
Hence Angle XYZ = half of arc XZ
If arc XZ = 68 then angle XYZ = half of 68
68/2=34
XYZ = 34
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
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)
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!
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
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
[tex]2 \sqrt{75} - \sqrt{108} + 5 \sqrt{48}[/tex]
[tex]\\ \sf\longmapsto 2 \sqrt{75} - \sqrt{108} + 5 \sqrt{48} \\\\ \sf\longmapsto 2 \sqrt{25 \times 3} - \sqrt{36 \times 3} + 5 \sqrt{16 \times 3} \\ \\ \sf\longmapsto 2 \times 5 \sqrt{3} - 6 \sqrt{3} + 5 \times 4 \sqrt{3} \\ \\ \sf\longmapsto 10 \sqrt{3} - 6 \sqrt{3} + 20 \sqrt{3} \\ \\ \sf\longmapsto (10 - 6 + 20) \sqrt{3} \\ \\ \sf\longmapsto 24 \sqrt{3} [/tex]
Answer:
24aprtment3
Step-by-step explanation:
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 is the rename of 10/21
Answer: ten Twenty-one
Step-by-step explanation:
10/21
(b) In a sale the original prices are reduced by 15%.
(i) Calculate the sale price of a book that has an original price of $12.
$
(ii)
Calculate the original price of a jacket that has a sale price of $38.25.
Answer:
(i): $10.20
(ii): $32:51
Step-by-step explanation:
(i) 1. put the percentage of the discount into a decimal: 0.15
2. multiply 0.15 by the sale price to find the amount of the discount: $1.80
3. subtract the discount, $1.80, from the original price, $12: $10.20
(ii) 1. put the percentage of the discount into a decimal: 0.15
2. multiply 0.15 by the sale price to find the amount of the discount: $5.74
3. subtract the discount, $5.74, from the original price, $38.25: $32.51
(i) The sale price of the book of original price $12 is $10.20.
(ii) The original price of the jacket is $38.25.
What is the percentage?The percentage is a calculation method for every 100.
How to calculate the sale price?The original price of a book is $12.
In a sale the original prices are reduced by 15%.
∴ Price reduced = $(12*15%)
=$ 1.80
Hence, the sale price is = $(12-1.80)
=$10.20
What is discounted price?The discounted price is the price a buyer pays after getting a discount of marked price.
How to calculate original price?Here, the sale reduces price by 15%
The discounted price is equivalent to = (100-15)%
=85%
By the condition ,
85% = $38.25
∴100%= $(38.25/85*100)
=$ 45
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I need help ASAP!!! Please tell me the answer Congruent Triangle Proof
Answer:
see explanation
Step-by-step explanation:
If 2 angles and the included side of one triangle are congruent to 2 angles and the included side of another triangle, then the triangles are congruent.
NQ is an angle bisector then ∠ MNQ = ∠ PNQ
∠ M = ∠ N , so the triangle is isosceles with 2 equal legs, then
MN = PN
----------------------------------------------
∠ MNQ = ∠ PNQ
MN = PN ( included sides between the 2 angles )
∠ M = ∠ N
Δ MNQ ≅ Δ PNQ by the ASA postulate
Answer:
Step-by-step explanation:
In Δ MNP,
∠NMQ ≅ ∠NPQ
⇒ NM = NP - ------> (I) {Sides opposite to equal angles are equal}
In ΔMNQ & ΔPNQ,
∠MNQ ≅ ∠PNQ {NQ is angle bisector}
NM = NP {from (I)}
∠NMQ ≅ ∠NPQ {Given}
ΔMNQ ≅ ΔPNQ - Angle Side Angle {ASA congruent}
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.
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.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
