Solve. 1/2(4x + 2/5) = 4/5

The required perimeter of the rectangle is 28 units.

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.

Here,

Let's denote the length of the rectangle as L and the width as W. We know that the diagonal of the rectangle has a length of 10 units, and we can use the Pythagorean theorem to relate the length, width, and diagonal,
L² + W² = diagonal²  [= 10² = 100]

We also know that one side of the rectangle has a length of 6 units, which we can assume is the width W. Therefore, we can solve for the length L,
L² + 6² = 100

L² = 100 - 36

L² = 64

L = 8

So the length of the rectangle is 8 units.

To find the perimeter of the rectangle, we can use the formula P = 2L + 2W, where L is the length and W is the width:

P = 2(8) + 2(6)

P = 16 + 12

P = 28

Therefore, the perimeter of the rectangle is 28 units.

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Answer: 9 L

Step-by-step explanation:

Given

The dimension of the rectangular container is [tex]40\times 30\times 25\ cm^3[/tex]

It is filled with [tex]\frac{3}{5}[/tex] of the height

Water present in the container

[tex]\Rightarrow 40\times 30\times 25\times \dfrac{3}{5}\\\\\Rightarrow 18000\ cm^3[/tex]

Also, [tex]1\ L=1000\ cm^3[/tex]

[tex]\therefore 18,000\ cm^3=18\ L[/tex]

Now, half of the water is poured out

So, half is left

[tex]\Rightarrow \dfrac{18}{2}=9\ L[/tex]

Thus, 9 L of water is left in the container

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

Explanation:

H = heads

T = tails

Something like HHT means we get two heads in a row at first, followed by one tail. The order matters. Since there are 2 sides per coin, and 3 coins, this leads to 2^3 = 8 different possible ways to flip three coins.

Those 8 outcomes are:

Again the order matters.

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

Now let's define the following events

There's only one way to get three heads, and that's HHH. So P(A) = 1/8.

There are three ways to get exactly two heads. Those three ways are: HHT, HTH, THH. This means P(B) = 3/8.

From those two probabilities, we then know that P(C) = 4/8 = 1/2 since there are 1+3 = 4 ways to get two or more heads, leaving 8-4 = 4 ways to get the other situations.

Now let's define function notation V(A) to mean "the net value of event A occurring". It's the number of points you receive if event A happens. We are given the following info:

From here, multiply the probability values with their corresponding net values

Finally, add up those results to get the expected value: 0.5+0.75+(-0.5) = 0.75

Each time a turn happens, we expect on average to get 0.75 points

Imagine a scenario where you play the game 10,000 times. If you record the result of each turn and then compute the arithmetic mean, you should get somewhere close to 0.75; it likely wont be 0.75 exactly due to the nature of theoretical probability and empirical probability not being perfectly aligned. However, due to the law of large numbers, the two should be very close when you do a large number of trials.

Because we're dealing with averages, it is possible to get a decimal value as the answer even though the point values of events A,B,C are integers.

Answer:

2/8 of the fifth graders are not in band

Step-by-step explanation:

To find how many fifth graders are not in band, subtract the # of fifth graders in band. Your difference is the amount of fifth graders that are not in band. To check your answer add 2/8 + 6/8 which should be equal to 8/8 or a whole ( 1 ).

Answer:

f(3)= 33

Step-by-step explanation:

hello :

f(x) =8x+9

put x = 3    you have : f(3) =8(3)+9 = 24 + 9 =33

Answer:

5 and 7

Step-by-step explanation:

Answer:

x = 23

Step-by-step explanation:

The measures of the angles in a triangle add up to equal 180

That being said we can create an equation to solve for x

180 = 2x + 3x + 1 + 3x - 5

Now we solve for x using basic algebra

step 1 combine like terms

2x + 3x + 3x = 8x

1 - 5 = -4

now we have 180 = 8x - 4

step 2 add 4 to each side

-4 + 4 cancels out

180 + 4 = 184

now we have 184 = 8x

step 3 divide each side by 8

8x/8=x

184/8=23

we're left with x = 23

Answer:

x = 95°

y = 147°

z = 128°

Step-by-step explanation:

z = 180 - 52 = 128°

x: first find the remaining angle in the big triangle, 180 - (45 + 50) = 85°

x = 180 - 85 = 95°

y: first find the remaining angle in the small triangle, 180 - (95 + 52) = 33°

y = 180 - 33 = 147°

Answer:

x=8.17

Step-by-step explanation:

uztstskycuvkhifig

Answer:

x = 8.17

Step-by-step explanation:

We will be using pythagoras theorem:

[tex]a^{2} + b^{2} = c^{2}[/tex]

=> [tex]4.25^{2} + x^{2} = 9.21^{2}[/tex]

=> [tex]x^{2}[/tex] = 84.8241 - 18.0625 = 66.7616

=> x = [tex]\sqrt{66.7616}[/tex] = 8.17077719.. = 8.17 (3 s.f)

Answer:

21

Step-by-step explanation:

: P

Answer:

21

Step-by-step explanation:

umm that's kindergarten math-

Answer:

12 ft

Step-by-step explanation:

Given data

Area= 84 ft^2

Length= 7ft

The expression for the area is

Area= L*W

substitute

84=7*W

W= 84/7

W= 12ft

Hence the width is 12 ft

Answer:12ft

Step-by-step explanation:

Step-by-step explanation:

Mam nice drawing at your backside Mam nice drawing at your backside

Answer: In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles.

Vertical angles prove that Angle 3 is congruent to angle 6.

The triangles are similar because alternate interior angles are congruent.

Step-by-step explanation:

Answer:

I'm not sure if this is right, but I got 3/4. (0.75 as a decimal) I hope this helps!

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I just did the test

The range and domain of the function exists on all real values

Domain of a function is the value of the input of graph for which the function exists.

The range of a function is the value of the output of graph for which the function exists.

The given graph denotes an exponential function showing the arrow pointing infinitely in both directions. Hence the range and domain of the function exists on all real values

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Answer:

2 and 3

Step-by-step explanation:

30 is 20% of 150

I hope this helps

Have a great day

Answer:

1 ladrillo cuesta 1 dólar.    1 brick costs 1 dollars.

1 kg de cemento cuesta 3 dólares: 1 kg cement costs 3 dollars

1 kg de arena cuesta $ 16: 1 kg sand costs $ 16

Step-by-step explanation:

Spanish

Deje que los ladrillos, la arena y el cemento se denoten por b, sy c. Luego, de acuerdo con la condición dada

20b + 5s + 10c = $ 130 --- ecuación 1

1c = 3b ------ ecuación 2

1s = 4c + 4b ------ ecuación 3

Poniendo la ecuación 2 en la ecuación 3

1s = 4 (3b) + 4b

1s = 16b ---------- ecuación 4

20b + 5s + 10 (3b) = $ 130

50b + 5s = 130 --- ecuación 5

Poniendo la ecuación 4 en la ecuación 5

50 b + 5 (16b) = 130

50 b + 80b = 130

130 b = 130

b = 130/130 = $ 1 ------- ecuación a

1 ladrillo cuesta 1 dólar.

Poner el valor de costo de 1 ladrillo en estas ecuaciones

1c = 3b ------ ecuación 2

1s = 4c + 4b ------ ecuación 3

1c = 3 (1) = $ 3 -------- ecuación b

1 kg de cemento cuesta 3 dólares

1s = 4c + 4b

1 s = 4 (3) + 4 (1)

1 s = 12 + 4

1s = $ 16 ------ ecuación c

1 kg de arena cuesta $ 16

Poner valores de la ecuación a, b, c en la ecuación 1

20b + 5s + 10c = $ 130

20 (1) + 5 (16) + 10 (3) = 130

20 + 80 + 30 = 130

130 = 130 ------------ por lo tanto probado

English

Let the bricks , sand and cement be denoted by b, s and c. Then according to the given condition

20b+ 5s+ 10c= $130--- equation 1

1c= 3b------ equation 2

1s= 4c+4b------ equation 3

Putting equation 2 in equation 3

1s= 4(3b) + 4b

1s= 16b---------- equation 4

20b+ 5s+ 10(3b)= $130

50b + 5s= 130--- equation 5

Putting equation 4 in equation 5

50 b + 5 (16b) = 130

50 b+ 80b= 130

130 b= 130

b= 130/130= $1------- equation a

1 brick costs 1 dollars.

Putting the cost value of 1 brick in these equations

1c= 3b------ equation 2

1s= 4c+4b------ equation 3

1c= 3(1)= $3-------- equation b

1 kg cement costs 3 dollars

1s= 4c+4b

1s= 4(3) + 4(1)

1s= 12+4

1s= $16 ------ equation c

1 kg sand costs $ 16

Putting values from equation a, b, c in equation 1

20b+ 5s+ 10c= $130

20 (1) + 5 (16) + 10 (3)= 130

20 + 80 + 30 = 130

130 = 130   ------------ hence proved

Answer:

73.5

Step-by-step explanation:

Part/whole=percent/100

?/500=2.1%/100

500 divided by 100 is 5, so 2.1% times 5 is 10.5, which is the amount of interest made per year.

So, 10.5 times 7 is 73.5

Answer:

the exact answer is 314.159265359

Step-by-step explanation:

but it simplifies to 314.16

2 out of 20 = 2/20 which reduces to 1/10 which means 1 out of every 10.

I would expect 1 out of the next 10 to be chipped.

Answer:

1

Step-by-step explanation:

Answer: n= -9

Step-by-step explanation:

5n-7=-52

5n = -52+7

5n=-45 (divide both sides)

n= -9

Answer:

False

Step-by-step explanation:

Answer:

ENGLISH

One of the angles must equal 90 degrees and the other two angles must add up to 90 degrees.

SPANISH TRANSLATION

Uno de los ángulos debe ser igual a 90 grados y los otros dos ángulos deben sumar 90 grados.

Answer:

-20 feet

Step-by-step explanation:

change in depth = number of feet below the surface + number of depth on the surface

Because the submarine is below surface, a value of -30 would be given

-30 + 10 = -20 feet