How much paper will it take to make each tree including the bottom??

Answer:

[tex]f^{-1}(x)=\cos^{-1} x+\frac{\pi}{2}[/tex]

Step-by-step explanation:

The given function is

[tex]y=\cos(x-\frac{\pi}{2})[/tex]

To find the inverse of this function, we interchange x and y.

[tex]x=\cos(y-\frac{\pi}{2})[/tex]

Take the inverse cosine of both sides to obtain;

[tex]\cos^{-1} x=y-\frac{\pi}{2}[/tex]

[tex]\cos^{-1} x+\frac{\pi}{2}=y[/tex]

Therefore the inverse of the given cosine function is;

[tex]f^{-1}(x)=\cos^{-1} x+\frac{\pi}{2}[/tex] where [tex]-1\le x\le 1[/tex]

Answer:

the answer is B

y=tanx- pie/2

ANSWER

[tex]r = 5 \sqrt{5 } [/tex]

EXPLANATION

Given that (x,y)=(5,10), we want to find r.

We use the relation:

[tex]r = \sqrt{ {x}^{2} + {y}^{2} } [/tex]

We substitute x=5 and y=10 into the formula to get,

[tex]r = \sqrt{ {5}^{2} + {10}^{2} } [/tex]

This implies that,

[tex]r = \sqrt{ 25+ 100 } [/tex]

[tex]r = \sqrt{125} [/tex]

[tex]r = 5 \sqrt{5 } [/tex]

Answer:

[tex]\large\boxed{B.\ 4x^2-41x+105}[/tex]

Step-by-step explanation:

[tex]f(x)=4x-\sqrt{x}\\\\g(x)=(x-5)^2\\\\f(g(x))\to\text{put}\ x=(x-5)^2\ \text{to}\ f(x):\\\\f(g(x))=f\bigg((x-5)^2\bigg)=4(x-5)^2-\sqrt{(x-5)^2}\\\\\text{use}\\(a-b)^2=a^2-2ab+b^2\\\sqrt{x^2}=|x|\\\\f(g(x)=4(x^2-2(x)(5)+5^2)-|x-5|\\\\x>5,\ \text{therefore}\ x-5>0\to|x-5|=x-5\\\\f(g(x))=4(x^2-10x+25)-(x-5)\\\\\text{use the distributive property:}\ a(b+c)=ab+ac\\\\f(g(x))=(4)(x^2)+(4)(-10x)+(4)(25)-x-(-5)\\\\f(g(x))=4x^2-40x+100-x+5\\\\\text{combine like terms}\\\\f(g(x))=4x^2+(-40x-x)+(100+5)\\\\f(g(x))=4x^2-41x+105[/tex]

Answer: Option B

[tex]f(g(x)) = 4x^2 -41x + 105[/tex]

Step-by-step explanation:

We have 2 functions

[tex]f(x) = 4x -\sqrt{x}[/tex]

[tex]g(x) = (x-5)^2[/tex]

We must find [tex]f(g(x))[/tex]

To find this composite function enter the function g(x) within the function f(x) as follows

[tex]f(g(x)) = 4(g(x)) -\sqrt{(g(x))}[/tex]

[tex]f(g(x)) = 4(x-5)^2 -\sqrt{(x-5)^2}[/tex]

By definition [tex]\sqrt{a^2} = |a|[/tex]

So

[tex]f(g(x)) = 4(x-5)^2 -|x-5|[/tex]

Since x is greater than 5 then the expression [tex](x-5)> 0[/tex].

Therefore we can eliminate the absolute value bars

[tex]f(g(x)) = 4(x-5)^2 -(x-5)[/tex]

[tex]f(g(x)) = 4(x^2 -10x + 25) -(x-5)[/tex]

[tex]f(g(x)) = 4x^2 -40x + 100 -x+5[/tex]

[tex]f(g(x)) = 4x^2 -41x + 105[/tex]

Answer:

y can be any real number

Step-by-step explanation:

8(y + 7) > 8y + 3

Distribute

8y+56 > 8y+3

Subtract 8y from each side

8y-8y +56 > 8y-8y +3

56 > 3

This is always true so the inequality is always true

y can be any real number

Answer: 254.47

Step-by-step explanation: A=3.14*r to the power of two=3.14*9 squared=254.47

3.14*9^2=254.34 this would be the answer

Answer:

A) 14 cm^2

Step-by-step explanation:

Given

Rhombus ABCD

let the given length be diagonal 1, a= 8cm

diagonal 2,b= 3.5cm

Area of ABCD=?

Area of rhombus= ab/2

Putting the values in above :

Area of ABCD= 8(3.5)/2

                       =28/2

                       =14 !

Answer:

14cm^2

Step-by-step explanation:

265,000

Hope this helps!

Because the number in the ten thousands place is over 4, it’s going to turn the 2 in the hundred thousands place into a 3, making the answer 300,000

Answer:

135.39

Step-by-step explanation:

The solid consist of 4 triangles and a 5 rectangles.

Formula to calculate area of triangle is

1/2 (height) (base)

Formula to calculate area of rectangle is

length x width

so

Total surface area of the composite solid is

2( 4(4) + 6(4) + 1/2(√13)(4) + 1/2(2√2)(6) ) + 6(4)

111.39 + 24

135.39

Answer:

Total area = 135 .39 square yard

Step-by-step explanation:

Given : composite figure.

To find : Find the surface area of the composite solid. Round the answer to the nearest hundredth.

Solution : We have given a composite figure with rectangle base and four triangles .

Base of two triangle  =  4 yd .

Height of two triangle = √13 yd .

Base of other two triangle  =  6 yd .

Height of other two triangle = 2√2 yd .

Area of rectangle  = length * width .

Area of rectangle  = 6 *4

Area of rectangle  = 24 square yard .

Area of all rectangle = 3 *24 = 72 square yard

Area of two square = 2( 4*4) = 32 square yard.

Area of triangle  = [tex]\frac{1}{2} base * height[/tex].

Area of triangle= [tex]\frac{1}{2} 4 *√13 [/tex].

Area of triangle = 2√13 .

Area of two triangle  = 2 * 2√13 .

Area of two triangle  = 4√13 square yard.

Area of other triangle  = [tex]\frac{1}{2} 6 * 2√2 [/tex].

Area of other triangle  = 3* 2√2

Area of other triangle  = 6√2.

Area of other two triangle  = 2 *6√2.

Area of other two triangle  = 12√2 square yard.

Total area = Area of  3 rectangle + Area of two triangle + Area of other two triangle + area of square

Total area =  72 + 4√13 +  12√2 + 32

Total area = 135 .39 square yard.

Therefore, Total area = 135 .39 square yard.

Answer:

y = 5x+2   ,    y=x-6

Step-by-step explanation:

just by looking at the table you can see for the first one 5x + 2 satisfies the table, and x-6 satisfies the right table.

for the first table the equation is:

[tex]x(5) + 2 = y[/tex]

and for the second it's:

[tex]x - 6 = y[/tex]

Answer:

5 if its a dice.

Step-by-step explanation:

On a dice, 5. The probability of it landing on 6 is 1/6

Answer:

The radius is [tex]r=5\ cm[/tex]

Step-by-step explanation:

we know that

The inscribed angle is half that of the arc it comprises.

so

[tex]m<C =(1/2)[arc\ AB][/tex]

[tex]m<C =90\°[/tex]

substitute

[tex]90\°=(1/2)[arc\ AB][/tex]

[tex]arc\ AB=180\°[/tex]

That means----> The length side AB of the inscribed triangle is a diameter of the circle

Applying Pythagoras Theorem

Calculate the length side AB

[tex]AB^{2}=AC^{2}+BC^{2}[/tex]

[tex]AB^{2}=8^{2}+6^{2}[/tex]

[tex]AB^{2}=100[/tex]

[tex]AB=10\ cm[/tex] -----> is the diameter

Find the radius

[tex]r=10/2=5\ cm[/tex] -----> the radius is half the diameter

Step-by-step explanation:

Remember SOH-CAH-TOA:

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

The side adjacent to W is 4.  The side opposite of W is 3.  The hypotenuse is 5.

Therefore:

Sine = 3 / 5

Cosine = 4 / 5

Tangent = 3 / 4

Answer:

B) 3.5  ^_^

Step-by-step explanation:

The basketball team sold a total of 23 items (t-shirts and hats) and made $246. By setting up and solving a system of equations, it was determined that they sold 15 t-shirts and 8 hats.

To determine the number of t-shirts and hats sold by a basketball team for a fundraiser, given that they sold a total of 23 items and made a profit of $246, with a profit of $10 per t-shirt and $12 per hat sold. To solve this problem, we can set up a system of linear equations and solve for the two variables representing the number of t-shirts (T) and the number of hats (H).

Let T represent the number of t-shirts and H represent the number of hats.

We know that T + H = 23 (since 23 items were sold in total).

We also know that the profit from t-shirts is $10 per t-shirt, and the profit from hats is $12 per hat. Therefore, 10T + 12H = $246 (total profit).

We can now set up the equations:
T + H = 23
10T + 12H = $246

From the first equation, we can express H in terms of T: H = 23 - T.

Substitute H = 23 - T into the second equation:
10T + 12(23 - T) = $246

Simplify and solve for T:
10T + 276 - 12T = $246
-2T + 276 = $246
-2T = $246 - 276
-2T = -$30
T = 15 (number of t-shirts sold)

Now, we can find the number of hats by substituting T back into H = 23 - T. Since T is 15, H = 23 - 15 = 8 (number of hats sold).

Therefore, the basketball team sold 15 t-shirts and 8 hats.

Answer:

y + 4 = a(x - 7)^2

Step-by-step explanation:

The standard vertex form of a parabola with vertex at (h, k) is

y - k = a(x - h)^2

and if we start with the simplest case, y = a(x)^2 and translate its graph 7 units to the right and 4 units down, we get   y - {-4] = a(x - 7)^2, or

y + 4 = a(x - 7)^2

The answer is y + 4 = a(x - 7)^2.

The standard vertex form of a parabola with vertex at (h, k) is

y - k = a(x - h)^2

And if we start with the simplest case,

y = a(x)^2 and

translate it Into 7 units to the right and 4 units down,

we get  

y - {-4] = a(x - 7)^2

then we get the equation is y + 4 = a(x - 7)^2.

Learn more about parabola: https://brainly.com/question/284411

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Answer: Well for example two roads that are meeting with each other and they form a right angle,

Step-by-step explanation:

Answer:

1.  A Christian cross.

2. Roads that meet at intersections

3. Hospital crosses.

Step-by-step explanation:

Perpendicular lines are lines that touch each other, or are slanted in a way that they will eventually touch each other. The examples I used are all crosses, which are two line that cross.

Answer:

x = 3 + i+√5

x = 3 + i-√5

OR

x= 4 - √6

x= 4 +√6

Step-by-step explanation:

(x - 3)² +6=1​

(x - 3)² + 6 = 1

        -6   -6

sq root > (x - 3)²      = -5

x-3 = i±√5     (i because neg. number)

x = 3 + i±√5

since its ±

two possible answers

x = 3 + i+√5

x = 3 + i-√5

Or

(x - 3)² +6=1​

(x-3)+  √6= √ 1

x-3 = 1 - (±)  √6

x= 4 - (±)  √6

Answers

x= 4 - √6

x= 4 +√6

Answer:

Step-by-step explanation:

[tex]30\cdot\dfrac{1}{6}=\dfrac{30}{6}=5[/tex]

Answer:

I am pretty sure the answer is square

The answer is -2. X is -2.

the answer would be 4 5/12 pounds

The total weight of the two boxes will be 4 and 5/12 pounds.

Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.

Tim mails two boxes of cookies to friends. One box weighs 1 and 3/4 pounds, and the other weighs 2 and 2/3 pounds.

Then the total weight of the two boxes will be

Total weight = 1 + 3/4 + 2 + 2/3

Total weight = 3 + 17/12

Total weight = 3 + 1 + 5/12

Total weight = 4 + 5/12

The total weight of the two boxes will be 4 and 5/12 pounds.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Comparing the periods of the given cosine functions indicates that functions A) and C) both have the greatest period of π, which is longer than the period of function B), π/2.

To compare the periods of the given functions, let's first understand what the general form of a cosine function tells us about its period.

The general form is y = A cos(Bx + C), where A is the amplitude, B affects the period, and C is the phase shift.

The period of such a function is given by 2π / |B|.

For function A) y = 3cos(2x+1), B = 2, thus its period is π.

For function B) y=5cos(4x +8), B = 4, yielding a period of π/2.

Lastly, for function C) y=cos(2x+4) (4.3), assuming the (4.3) is an unrelated notation and focusing on the given cos component with B = 2, its period is also π.

The function with the greatest period among A, B, and C is thus A) and C), both having the same period of π, which is greater than the period of B).

Answer:

length=16, width=4

Step-by-step explanation:

Use l as length and make an equation:

64 = x*(x-12)

Solve using quadratics, x=16.

Subtract 12 and get 4.

[tex] {x}^{2} + {y}^{2} - 10x - 6y + 18 = 0[/tex]

Answer:

[tex](x-5)^2 + (y-3)^2= 16[/tex] is the equation of a circle

Step-by-step explanation:

The circle below is centered at the point (5,3) and has a radius of length 4

To find the center  form of equation, we use formula

[tex](x-h)^2 + (y-k)^2= r^2[/tex]

where (h,k) is the center and 'r' is the radius of the circle

given center is (5,3)

h=5  and k =3

radius r= 4, plug in all the values in the equation

[tex](x-h)^2 + (y-k)^2= r^2[/tex]

[tex](x-5)^2 + (y-3)^2= 4^2[/tex]

[tex](x-5)^2 + (y-3)^2= 16[/tex] is the equation of a circle

Answer:

h ≈ 30.10  ft

Step-by-step explanation:

Marie measures the angle of elevation from a point A to a tree as 34° . She works 10 ft directly towards the tree and discovered the new angle of elevation is 41°. The height of the tree can be computed below.

let

a = distance from point B to the tree

h = height of the tree

The right angle triangle formed from point B,  we can use tan to find the height of the tree.

tan 41°  = opposite /adjacent

tan 41° = h/a

cross multiply

h = a tan 41°

The right angle formed from point A

tan 34° = opposite/adjacent

tan 34° = h/(a + 10)

(a + 10)tan 34° = h

Therefore,

a tan 41° = (a + 10)tan 34°

0.8692867378

a =  0.6745085168(a + 10)

0.8692867378a = 0.6745085168a + 6.7450851684

collect like terms

0.8692867378a - 0.6745085168a = 6.7450851684

0.194778221a = 6.7450851684

a = 6.7450851684/0.194778221

a = 34. 629565532  ft

height of the tree can be find with

h = a tan 41°

h = 34. 629565532 × 0.8692867378

h =  30.103022053  ft

h = 30.10 ft

Answer:

A.  

The table represents a geometric sequence because the successive y-values have a common ratio of -2.4.

Step-by-step explanation:

A geometric sequence, with a first term a and common ratio r, is generally represented as;

[tex]a,ar,ar^{2},ar^{3},ar^{4},............ar^{n}[/tex]

The first term refers to the first number that appears in the sequence. The common ratio is the constant that multiplies a preceding value to obtain the successive one. That is, to obtain [tex]ar^{2}[/tex] from [tex]ar[/tex] we multiply [tex]ar[/tex] by the common ratio r.

In the table given the y-values are as follows;

4, -9.6, 23.04, -55.296

To obtain the common ratio we simply divide each value by the preceding one;

(-9.6)/4 = -2.4

23.04/(-9.6) = -2.4

(-55.296)/23.04 = -2.4

Since the sequence of numbers has a common ratio then it qualifies to be a geometric sequence. Thus, the table represents a geometric sequence because the successive y-values have a common ratio of -2.4.

Answer:

The table represents a geometric sequence because the successive y-values have a common ratio of -2.4

Answer:

[tex]m<FEH=86\°[/tex]

Step-by-step explanation:

we know that

The inscribed angle measures half that of the arc comprising

step 1

Find the measure of arc EF

[tex]m<FHE=\frac{1}{2}(arc\ EF)[/tex]

we have

[tex]m<FHE=45\°[/tex]

substitute

[tex]45\°=\frac{1}{2}(arc\ EF)[/tex]

[tex]arc\ EF=90\°[/tex]

step 2

Find the measure of arc EH

[tex]m<EGH=\frac{1}{2}(arc\ EH)[/tex]

we have

[tex]m<EGH=49\°[/tex]

substitute

[tex]49\°=\frac{1}{2}(arc\ EH)[/tex]

[tex]arc\ EH=98\°[/tex]

step 3

Find the measure of arc FGH

[tex]arc\ FGH=360\°-(arc\ EH+arc\ EF)[/tex]

substitute the values

[tex]arc\ FGH=360\°-(98\°+90\°)[/tex]

[tex]arc\ FGH=172\°[/tex]

step 4

Find the measure of angle FEH

[tex]m<FEH=\frac{1}{2}(arc\ FGH)[/tex]

we have

[tex]arc\ FGH=172\°[/tex]

substitute

[tex]m<FEH=\frac{1}{2}(172\°)=86\°[/tex]

Answer:

[tex]x^{\frac{5}{12} }[/tex]

Step-by-step explanation:

In the question given we use the law of exponents;

[tex](a^{b})^{c} = a^{bc}[/tex]

If a base a is raised to a power b and the entire expression raised to a power c, the resulting expression is simply equal to the base a raised to the product of the two exponents b and c, that is bc.

In the case given,

a = x

b = 5/8

c = 2/3

To simplify the expression we simply multiply b and c;

bc = 5/8 * 2/3

     = 5/12

The simplified expression is thus;

[tex]x^{\frac{5}{12} }[/tex]

Answer:

The correct answer is ((x⁵/⁸)²/³) = x⁵/¹²

Step-by-step explanation:

Points to remember:-

Identity

(xᵃ)ᵇ = xᵃᵇ

Here it is given that, ((x⁵/⁸)²/³)

To find the value of ((x⁵/⁸)²/³)

(5/8) * (2/3) =  (5 * 2) /(8 * 3) = 10/24 = 5/12

By using identity (xᵃ)ᵇ = xᵃᵇ we can write,

((x⁵/⁸)²/³) = x⁽⁵/⁸⁾ˣ⁽²/³⁾

= x⁵/¹²    

Therefore the correct answer is ((x⁵/⁸)²/³) = x⁵/¹²

Answer:

B because there is a dot in front of the 25 which is also known as a decimal point.

For this case we have that by definition, a decimal number is a number that is composed of a whole part, which can be zero, and by another lower than the unit, separated from the whole part by a point.

Examples:

0.05

1.76

According to the options given, we have:

A. [tex]\frac {1} {2},[/tex] it is a fraction

B. 23, is a whole number

C.[tex]\frac {33} {10}[/tex], it is a fraction

D. 0.25, is a decimal number.

Answer:

Option D

Answer:

second one :p

Second one I think ;-;