2/5 x 5/6 simplest form

Answer:

x = 25

Step-by-step explanation:

[tex] \triangle DGH\sim\triangle DEF... (given) [/tex]

[tex] \frac{DG}{DE} =\frac{GH}{EF} [/tex]

[tex] \frac{52}{91} =\frac{x+3}{2x-1} [/tex]

[tex] \frac{4}{7} =\frac{x+3}{2x-1} [/tex]

4(2x - 1) = 7(x + 3)

8x - 4 = 7x + 21

8x - 7x = 21 + 4

x = 25

Step-by-step explanation:

when you add integers remember that the positive integers move you to the right (so the integer will increase) and negative integers move you to the left (so the integer will decrease)

Hope this helps.

Answer:

a

Step-by-step explanation:

Answer:

28m

Step-by-step explanation:

Answer:

1/2 t + 9

10.25 = 1/2 t + 9

1.25 = 1/2 t

t = 2.5

Answer: 2.5 minutes

Answer: COMMUTATIVE PROPERTY OF MULITIPLICATION

Step-by-step explanation: the commutative property is when the numbers are basically swapped

Gl on your assignment :)

Answer:

180%

Step-by-step explanation:

Im not sure I understood the problem

But 180% of 5 is 9

Answer:

119

explained:  you would have to take all the numbers and line them from greatest to smallest, for example 100,103,103,105,106,112,115,106,112,115,117,121,122,122,128,129,141,141,141

and since your median is your middle number, and you have an even set of numbers that means you will have two medians 117 and 121. You add them up and divide by two which equals 119.

Hope this helps!

Answer:

119

Step-by-step explanation:

Yay I am brainly kid

Answer:

x=25

Step-by-step explanation:

hope this is correct!

Answer:

three hope this helps you out

The given non-linear function will have three solutions.

A nonlinear system is a system in which the change of the output is not proportional to the change of the input.

Given is a graph of a nonlinear function, we need to find the number of the solution this function holds,

We know that the by studying the graph of any function we can deduce the number of solution,

We know that the number of times graph intersects each other is its solution,

Looking at the graph we can see that the graph is intersecting the graph three times,

Hence, the given non-linear function will have three solutions.

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Answer:

I can!

Step-by-step explanation:

Answer: -270

Step-by-step explanation:

First, simplify the exponent

[tex]-6*(25+20)[/tex]

Then, distribute

[tex]-150+-120[/tex]

Then, subtract(add a negative)

[tex]-270[/tex]

Hope it helps <3 :)

Answer: The temperature on the fifth day is -14°C

Step-by-step explanation:

When we have a set of N elements, that can be written as:

{a₁, a₂, ..., aₙ}

The mean of these N elements is be written as:

Mₙ = (a₁ + a₂ + ... + aₙ)/N

Now, when we take in account the temperature for the first four days of January, we will have a set of 4 elements, {a₁, a₂, a₃, a₄}

Where each one of these elements represents the temperature of one particular day.

The mean temperature for the first four days will be:

M₄ = (a₁ + a₂ + a₃ + a₄)/4

And we know that this is equal to 4°C

Now we also could do the next replacement:

(a₁ + a₂ + a₃ + a₄) = T

Then we can write:

M₄ = -4°C =  (a₁ + a₂ + a₃ + a₄)/4 = T/4

Then we can solve:

-4°C = T/4

-4°C*4 = T

-16°C = T

This is the sum of the temperatures for the first four days of January.

Now we know that the mean for the first five days is -6°C

Then we have:

M₅ = (a₁ + a₂ + a₃ + a₄ + a₅)/5 = -6°C

Where a₅ is the temperature on the fifth day of January, which is the value we want to find.

And we know that:

a₁ + a₂ + a₃ + a₄ = -16°C

We can replace that in the equation to get:

(-16°C + a₅)/5 = -6°C

(-16°C + a₅) = 5*(-6°C) = -30°C

a₅ = -30°C + 16°C = -14°C

a₅ = -14°C

The temperature on the fifth day is -14°C

Answer:

Step-by-step explanation:

This is the combination of 3, 3 and 2 options.

The number of combinations is:

Correct choice is D

Answer:

Step-by-step explanation:

[tex]V=\frac{4\pi r^3}{3}\\ \\ r^3=\frac{3V}{4\pi}\\ \\ r=\sqrt[3]{\frac{3V}{4\pi}}\\ \\ r\approx 4ft[/tex]

=============================================================

Explanation:

When two lines have different slopes like this, it means the two lines are not parallel. Recall parallel lines are when the slopes are equal (the rise and run are the same, so you can think of it like the same stair-step pattern).

Non-parallel lines intersect at exactly one location. This point of intersection is the solution to the system of equations.

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

A more in-depth look (optional section)

Let's consider the system of equations shown below

[tex]\begin{cases}y = mx+b\\y = mx+c\end{cases}[/tex]

For each equation shown here, the m values are the same slope. However, b and c are different values (in other words, [tex]b \ne c[/tex]). This system describes any two parallel lines that aren't vertical.

Since we're dealing with the same y value, we can apply substitution to try to solve for x. But we run into a problem

y = mx+b

mx+c = mx+b ... replace y with mx+c

c = b .... subtract mx from both sides

But we stated that c and b were different, and not equal. This is a contradiction. So if we had a system of this form, then we have 2 parallel lines that lead to no solution. We call this an inconsistent system.

Next, we'll consider this system of equations

[tex]\begin{cases}y = mx+b\\y = nx+c\end{cases}[/tex]

The only thing different here is the second equation has n instead of m as its slope. We'll assume that m and n are not equal to each other. If m = n, then we just end up with the previous scenario. Let's try to solve x now

y = mx+b

nx+c = mx+b

nx-mx = b-c

(n-m)x = b-c

x = (b-c)/(n-m)

Assuming [tex]m \ne n[/tex], we can generate one solution for x as shown above. This single solution for x generates a corresponding single solution for y. So overall, this proves that we have one ordered pair (x,y) solution to this system.

In short, I've shown that if m and n are different slopes, then the system of equations has exactly one solution.

Answer:

Box 1 is A (top box)

Box 2 is B (middle box)

Box 3 is C (lowest box)

I am not taking computer science, so I am just using visual clues... If this is not worth a lot in your grade, making mistakes is okay. So, you can guess.

Answer:

The answer would be 180 meters.

Step-by-step explanation:

We are told the runner runs at 9 m/s for 20 seconds.

Since they run 9 meters per second, all we have to do is multiply 9 by 20, which will give us 180 meters.

9 x 20 = 180

Answer:

a

Step-by-step explanation:

formula for cos theta is ration of adjacent side to hypotenuse side

so, 28 is adjacent side.

and 53 is hypotenuse side.

Thats why the ans is A

The trigonometric function gives the ratio of different sides of a right-angle triangle. The correct option is A.

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite the 90° angle.

The value of cosθ can be written as,

Cosθ = Base / Hypotenuse

Cosθ = 28/53

Hence, the correct option is A.

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Answer:

4√5 + 4√10

Step-by-step explanation:

The perimeter is the sum of all the sides.

Using the coordinates given to us, we can find the sides of the quadrilateral.

d(ab) = √[(x2 - x1)² + (y2 - y1)²]

Given that, we apply that to each and every of the side, and thus we have

d(le) = √[(3 --3)² + (3 - 1)²]

d(le) = √[(6²) + (2)²]

d(le) = √(36 + 4)

d(le) = √40

d(ea) = √[(5 - 3)² + (7 - 3)²]

d(ea) = √[(2)² + (4²)]

d(ea) = √(4 + 16)

d(ea) = √20

d(ap) = √[(-1 - 5)² + (5 - 7)²]

d(ap) = √[-6)² + (-2)²]

d(ap) = √(36 + 4)

d(ap) = √40

d(pl) = √[(-1 --3)² + (5 - 1)²]

d(pl) = √[(-2)² + (4)²]

d(pl) = √(4 + 16)

d(pl) = √20

Perimeter of the quadrilateral is then

d(le) + d(ea) + d(ap) + d(pl)

√40 + √20 + √40 + √20

4√5 + 4√10

Answer:

pretty sure its b.

hope this helps!

Answer:

i think its none of the above

Step-by-step explanation:

because it can't be vertical since they need to be on opposite sides

it's not complementary because it doesn't equal to 90

it can't be supplementary because line D is not straight

so that's why i think it's none of the above

Answer:

y = [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Given y varies directly as x, then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = 6 when y = 0.5 , then

0.5 = 6k ( divide both sides by 6 )

[tex]\frac{0.5}{6}[/tex] = k , that is k = [tex]\frac{1}{12}[/tex]

y = [tex]\frac{1}{12}[/tex] x ← equation of variation

When x = 10, then

y = [tex]\frac{1}{12}[/tex] × 10 = [tex]\frac{10}{12}[/tex] = [tex]\frac{5}{6}[/tex]

Answer:

Step-by-step explanation:

In order to convert the standard form equation we are given now into slope-intercept form, we need to get y on one side by itself and solve for y.

Work.

2x+3y=6

-3y        -3y

2x=6-3y

-6      -6

2x-6=-3y

/-3        /3

-2/3x+2=y

y=-2/3x+2

Now that it is in slope intercept form, we can identify the y intercept and slope.

y-int=(0,2), slope=-2/3

I would graph the line by first plotting the y-intercept at the point (0,2). From there, I would plot the slope by going down 2 blocks and moving 3 blocks to the right. Then I would connect the two points with a ruler to get my line since you only need two points to create a line.

Answer:

1 mile

Step-by-step explanation:

Joe =  6 mph

6 x 2 hours = 12 miles in 2 hours

Tera = 11 miles in 2 hours

12 - 11 = 1 mile

Answer:

yes

Step-by-step explanation:

Answer:

171

Step-by-step explanation:

I can give you the formula if u want

Answer:

Cant see the picture

Step-by-step explanation:

Answer: h=6

Step-by-step explanation: