1) Which example represents
perpendicular line segments?
A. tines of a fork
B. legs of a table
C. corner of a room
D. pedestrian crosswalk

Answer:

15 10 5

60+45=15

30-20=10

10-5=5

170

60+30+10+45+20+5=170

340

170x2=340

Step-by-step explanation:

Answer:

1.35 liter of water

Step-by-step explanation:

We know

Scott drank 3/4 liter of water Monday before going jogging. He drank 3/5 liter of water after his jog.

How much water did Scott drink altogether?

\(\frac{3}{4}\) + \(\frac{3}{5}\) = \(\frac{15}{20}\) + \(\frac{12}{20}\) = \(\frac{27}{20}\) = 1.35 liter of water

So, Scott drinks 1.35 liter of water.

Answer:

-2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

you multiply 4 by -1 and then add 2 to the product of that

Answer:

a,b,d,e

answered in the first question

Answer:

true

Step-by-step explanation:

Answer:

\(4h^2-48.6h-72.9\)

Step-by-step explanation:

\((2h+2.7) (2h-27)\\4h^2-54h+5.4h-72.9\\4h^2-48.6h-72.9\)

The expression for the volume of the cylinder is:

\(v = 3.14*(9in)^2*h\)

For a cylinder of radius r and height h, the volume is:

\(v = 3.14*r^2*h\)

Where 3.14 = π

Here we know that the diameter is 18 inches, then the radius is half of that, we will have:

r = 18in/2 = 9in

Then the volume equation is:

\(v = 3.14*(9in)^2*h\)

So the correct option is the first one.

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Answer:

x=-8

Step-by-step explanation:

i took the quiz

Answerd

Step-by-step explanation:

Answer:

the scale factor is 3/4

x = 16×3/4 = 12

Step-by-step explanation:

the only side length we have for both triangles is the short left side.

we see that we get ED from SR and need to transform 4 into 3. how do we do that ?

well,

4×f = 3

f = 3/4

that is the scaling factor, as all side lengths in EDF are created by multiplying the corresponding side in SRT by the same scaling factor (3/4).

therefore,

x = EF = ST×f = 16×3/4 = 4×3 = 12

Answer:

The scale factor is 4/3 and x is 12

Step-by-step explanation:

→ Divide RS by DE

4 ÷ 3 = 4/3

→ Divide the answer by 16

16 ÷ 4/3 = 12

The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

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Let:

t1 = Initial time = 0

t2 = Final time = 4:00 - 1:30 = 2:30 = 2.5h

h1 = initial height = 2.4ft

h2 = final height = 3.9ft

so:

The rate is 0.6ft/h

Therefore, the depth of the milk at 5:00 pm is:

The missing x coordinate is (24/25).

What is a Circle ?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.

As per the given data:

p lies on the unit circle

radius of circle = 1 unit

p is in 4th quadrant:

Let's assume p as (x, (-7/25))

equation of the circle:

x² + y² = 1

x² + (-7/25)² = 1

x² = 1 - (49/625)

x² = (576/625)

x = ± 24/25

But as point is in 4th quadrant, x will be positive.

x = (24/25)

The coordinate of point p is ((24/25), (-7/25))

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Answer:5

Step-by-step explanation:

5098

Answer:

x= 12/5

Step-by-step explanation:

Distribute the fraction and solve for x.

Three ordered pairs that could represent the location of another vertex of the square are (7, 2), (-5, 2), (1, 8).

To find the possible locations of the other vertices of the square, we need to determine the distance from point K to any other vertex of the square. Since the perimeter of the square is 20 units, each side of the square has a length of 20/4 = 5 units.

One way to find the other vertices is to draw a circle with center at K and radius 5 units, and then look for points on the circle that have integer coordinates. Alternatively, we can use the distance formula to calculate the distance from K to another point (x, y), which must be 5 units, and then solve for y in terms of x.

Using the distance formula, we get:

\(\sqrt{(x-1)^{2} +(y-1)^{2} }\) = 5

Simplifying and squaring both sides, we get:

(x-1)^2 + (y-2)^2 = 25

Expanding the left side and simplifying, we get:

\(x^{2}\) - 2x + \(y^{2}\) - 4y + 20 = 0

Completing the square for x and y, we get:

\((x-1)^{2}\)  + \((y-1)^{2}\)  = \(6^{2}\)

This is the equation of a circle with center at (1, 2) and radius 6 units. Any point on this circle that has integer coordinates could be a vertex of the square, since it will be exactly 5 units away from K.

Using this method, we can find several possible locations of the other vertices of the square. Three of them are:

(7, 2), (-5, 2), (1, 8)

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Answer:

infinitely many solutions (infinite solutions)

Step-by-step explanation:

2y - 8 = 6x

   +8    +8

-------------------------------

2y = 6x + 8

\(\frac{2y}{2}\) = \(\frac{6x}{2}\) + \(\frac{8}{2}\)

-------------------------------

y = 3x + 4

Because 3x + 4 = 3x + 4, there are infinitely many solutions to this system of equations. This is because they're the exact same equations. Any substitution for x will give you a true statement to y when compared to the other equation.  

The perimeter CDE of the triangle is solved to be 9.66 (to the nearest hundredth)

How to find the perimeter of CDE

Given data

C ( 4, -1 )

D ( 4, -5)

E ( 2, -3 )

perimeter of CDE = CD + CE + DE

length = √(x2 - x1)^2 + (y2 - y1)^2

using C ( 4, -1 ) and D ( 2, -3 )

CD = √(4 - 4)^2 + (-1+5)^2

CD = √(4)^2

CD = 4

using C ( 4, -1 ) and E ( 2, -3 )

CE = √(4 - 2)^2 + (-1+3)^2

CE = √(2)^2 + (2)^2

CE = √8

using D ( 4, -5) and E ( 2, -3 )

CD = √(4 - 2)^2 + (-5 + 3)^2

CD = √(2)^2 + (-2)^2

CD = √8

the perimeter =  4 + √8 + √8

the perimeter =  4 + √8 + √8

the perimeter =  9.6568

the perimeter =  9.66 (to the nearest hundredth)

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The angle between the sides measuring 4 and 5 in the obtuse triangle is approximately 101.54 degrees.

To find the measure of the angle between the sides measuring 4 and 5 in an obtuse triangle with side lengths 4, 5, and 7, we can use the Law of Cosines. The Law of Cosines states that in a triangle with side lengths a, b, and c, and an angle opposite to side c, the following equation holds:

\(c^2 = a^2 + b^2 - 2ab*cos(C)\)

In this case, we have side lengths a = 4, b = 5, and c = 7. We want to find the angle C, which is opposite to side c. Substituting these values into the Law of Cosines, we get:

\(7^2 = 4^2 + 5^2\)- 2(4)(5)*cos(C)

49 = 16 + 25 - 40*cos(C)

49 = 41 - 40*cos(C)

40*cos(C) = 41 - 49

40*cos(C) = -8

cos(C) = -8/40

cos(C) = -0.2

To find the measure of angle C, we can take the inverse cosine (arccos) of -0.2:

C = arccos(-0.2)

Using a calculator, we find that C ≈ 101.54 degrees.

Therefore, the measure of the angle between the sides measuring 4 and 5 in the obtuse triangle is approximately 101.54 degrees.

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Principal = $400

Rate = 8%

Time = 12 months

Answer:

$32 Interest but total amount after one year is $432

Answer:

4x² + 24x + 36

Step-by-step explanation:

(2x + 6)² = (2x + 6)(2x + 6) = 4x² + 12x + 12x + 36 = 4x² + 24x + 36

The minimum cost Hamilton circuit starting with vertex A is A -> B -> D -> A, with a total cost of 48.

what is circuit?

In graph theory, a circuit is a closed path in a graph that starts and ends at the same vertex. In other words, a circuit is a sequence of vertices and edges that starts and ends at the same vertex, and every vertex in the sequence (except the first and last vertex) is visited exactly once.

In the given question,

To find the minimum cost Hamilton Circuit using the brute-force method, we need to try all possible Hamilton circuits and choose the one with the minimum cost. Since there are only 3 vertices in this graph, there are only 3! = 6 possible Hamilton circuits. We can enumerate all of them and calculate their costs to find the minimum.

Here are the 6 possible Hamilton circuits, starting with vertex A:

A -> B -> C -> A

Total cost = 26 + 20 + 20 = 66

A -> C -> B -> A

Total cost = 20 + 8 + 26 = 54

A -> B -> D -> A

Total cost = 20 + 8 + 20 = 48

A -> D -> B -> A

Total cost = 20 + 26 + 8 = 54

A -> C -> D -> A

Total cost = 8 + 20 + 26 = 54

A -> D -> C -> A

Total cost = 26 + 20 + 8 = 54

Therefore, the minimum cost Hamilton circuit starting with vertex A is A -> B -> D -> A, with a total cost of 48.

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\(f^(-1)(2) = 6\), which is consistent with our earlier result.

A function that "undoes" another function is known as an inverse function. If f(x) is a function, then f(x inverse, )'s indicated by f-1(x), is a function that accepts f(x output )'s as an input and outputs f(x initial )'s input.

Given the function f(x) = √(2x - 8), if f^(-1)(x) is the inverse function of f(x), what is \(f^(-1)(2)\)?

Solution:

To find f^(-1)(2), we need to find the value of x such that  \(f(x) = 2\) . We can set up an equation:

\(f(x) = \sqrt(2x - 8) = 2\)

Squaring both sides, we get:

\(2x - 8 = 4\)

\(2x = 12\)

\(x = 6\)

Therefore, \(f^(-1)(2) = 6.\)

We can also verify this result by using the definition of an inverse function. If f^(-1)(x) is the inverse function of f(x), then by definition:

\(f(f^(-1)(x)) = x\)

We can substitute x = 2 and solve for f^(-1)(2):

\(f(f^(-1)(2)) = 2\)

\(f^(-1)(2) = (f(6))^(-1)\)

f(6) = √(2(6) - 8) = √4 = 2

Therefore,\(f^(-1)(2) = 6\), which is consistent with our earlier result.

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Answer:

2x-15+10x-25=180

2x-10x=180+15+25

-5x=220

=44

ı hope its true

Step-by-step explanation:

Answer:

of what............? you did not finish the question ⁉️

For the given number 4 x 5³/₈. The whole part is 4 and the fraction part is 5³/₈. Both are added together to form a fraction of 43/8.

An inappropriate fraction can be created by converting a mixed fraction. Follow the instructions below to accomplish that.

For the given number 4 x 5³/₈.

The whole part is 4.

The fraction part is 5³/₈.

Solving the mixed fraction:

= 5³/₈.

= (5*8 + 3) /8

Both are added together to form a fraction:

= 43/8

The final number becomes:

= 4 x 5³/₈

= 4 x 43/8

= 43/2

Thus, the result of the final number obtained is 43/2.

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Answer:

9 7/8

Step-by-step explanation:

1. 4 3/8 can be converted into the improper fraction 35/8, and 5 1/2 can be converted into 11/2.

2. Now that we have 35/8 + 11/2, we have to find a common denominator. Since 2 goes into 8 four times, we can turn 11/2 into 44/8 by multiplying the numerator and denominator (the top and the bottom numbers) by 4.

3. Now we have 35/8 + 44/8. At this point, the all we have to do is add the numerators (the top numbers). 35+44=79, so our answer is 79/8, which we can simplify to 9 7/8.

Answer:

Just

Download photo maths

without too much fuss, Check the picture below.

so we have roots at -5 and 1, and a point, incidentally the vertex, at (-2 , 9)

\(\begin{cases} x = -5 &\implies x +5=0\\ x = 1 &\implies x -1=0\\ \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{original~polynomial}{a ( x +5 )( x -1 ) = \stackrel{0}{y}}\hspace{5em}\textit{we also know that } \begin{cases} x=-2\\ y=9 \end{cases} \\\\\\ a ( -2 +5 )( -2 -1 ) = 9\implies -9a=9\implies a=\cfrac{9}{-9}\implies a=-1 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill {\Large \begin{array}{llll} -( x +5 )( x -1 ) =y \end{array}}~\hfill\)

Answer:

A, B, and D

Step-by-step explanation: