Mercury is at a distance of 46213267 km from the sun. If the value of this area is rounded off to the nearest one hundred, then the result would be .

Answer:

The required slope is equal to -1/2.

Step-by-step explanation:

The given equation of line is :

x + 2y = 10

A line parallel to this line has the same slope. To determine the slope, solve for  y  to change the equation to slope-intercept form:

y = mx+b .....(1)

2y = 10 -x

Dividing both sides by 2.

[tex]y=(-\dfrac{1}{2})x+10[/tex] ....(2)

Comparing equations (1) and (2),

m = -1/2

Hence, the required slope is equal to -1/2.

Answer:

x=3

Step-by-step explanation:

15/x=10/2

Simplifying the right side

15/x = 5

Multiply each side by x

15/x *x = 5x

15 = 5x

Divide each side by 5

15/5 = 5x/5

3 =x

Answer:

7.8 for 1 cake so add that to your total

Step-by-step explanation:

Answer:

Hello! answer: 30

Step-by-step explanation:

13 × 13 = 169

5 × 5 = 25

169 - 25 = 144

12 × 12 = 144 therefore 12 is the missing leg

so we will use this to find the area so...

12 × 5 = 60 60 ÷ 2 = 30 therefore the answer is 30 hope that helps!

Answer:

c. 0.17

Step-by-step explanation:

The bag have 4 + 2 + 6 = 12 balls.

There are 2 red marbles, in 12, the probability to take one red is 2/12. Is important to remember that the first marble was replaced before the second outcome, so the chance for the second is also 2/12:

2/12 = 1/6 = 0.1666 ≈ 0.17

The expected value of the random variable that assigns  the number of red marbles to each outcome is 0.17.

Probability is used to estimate how likely an event would happen. The probability the event occurs with certainty is 1 and the probability that the event does not occur with certainty is 0.

Expected value = number of red marbles / total number of marbles

2/12 = 0.17

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Answer:

2/5a + 4b + 1/6c

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

We can see step by step how to solve for x, and get 11.5:

2x+9=32

Subtrract the 9 from both sides. You should always try to get the number on one side, and the variable on the other:

2x+9-9=32-9

=

2x=23

In the end, once the number values are on one side, and the variable value on the other, you want you varaible to be 1.

When I mean 1, I mean you want 1x, or just x.

Here we see 2x=23, meaning we need to divide both sides by 2, to get 1x:

2x/2=23/2

=

x=11.5

So x equals 11.5, and you were correct.

Hope this helps!

Answer: step by step explanation

it's just that you have to multiply the number under root and it's any number is square then you can take it out of root.

Answer:

Step-by-step explanation:

so you have 2 rectangles and you first need to find what the area is for the side opposite 25 which is 9 because the 2 9's are the same as the missing number.

now 16x9=144

and 9x9x9=729

725x25=18225

hope that helps

have a great day/night

19NBoli

Answer:

-18 and -1

Step-by-step explanation:

(-18) + (-1) = -19

(-18) × (-1) = 18

Answer:

f( n ) = 7 n - 4

Step-by-step explanation:

Terms : 3,10 , 17, 24, 31

Means this   =  [tex]a_{1}[/tex] = 3

The differences:

d = 10-3=7

our term of the sequence =

f( n ) = 7 n - 4

The park formed like a rectangle so :

Area = length × width

Area = ( 9/10 ) × ( 4/5 )

Area = 9 × 4 / 10 × 5

Area = 9 × 2 × 2 / 5 × 5 × 2

Area = 18 / 25

Answer:

Step-by-step explanation:

5[tex]\frac{5}{6}[/tex] * 4[tex]\frac{1}{2}[/tex]

=5*6+5/6 * 4*2+1/2

=35/6 * 9/2

=35*9/6*2

=315/12

=105/4

=26[tex]\frac{1}{4}[/tex]

Answer:

2.40

Step-by-step explanation:

From the triangle QRS

RQ is the hypotenuse 13

QS is the opposite = 12

SR is the adjacent = 5

According to SOH CAH TOA

tan <R =  opp/adj

Tan <R = qs/sr

Tan <R = 12/5

Tan <R  = 2.40

Answer:

First option: 3619.1 cubic centimetres

Step-by-step explanation:

Use this formula for figure out the volume of a cone:

[tex]V=\pi r^2\frac{h}{3}[/tex]

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

So:

π × 144 × 8 ≈ 3619.1

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Have a good day :)

Answer:

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Step-by-step explanation:

Answer:

A solution to a system of equations is the point(s) where they intersect.  Find the ordered pairs where they intersect and you have your answers.

Step-by-step explanation:

Answer:

(x+7) to the 2nd power + 9

Step-by-step explanation:

Answer: The answer is -0.2 or -1/5

Answer:Extract the formula for the height of a rectangular-based pyramid using your knowledge of algebra. H = V / (L x W) / 3. For instance, V = 60 cubic cm, L = 4 cm and W = 6 cm.

Step-by-step explanation:

Answer:

89*

Step-by-step explanation:

To find the value of m<1, you need to find the angle right next to it (the third interior angle that isn't labeled).

To find that angle (let's call it x), we have to use an equation.

Since a triangle has a sum of 180* for the interior angles in it, then we can use that to solve for x.

x + 53 + 36 = 180

x + 89 = 180

x = 91

Now to find m<1, we need to use the supplementary angles theorem.

Since m<1 and x are supplementary angles, the sum of those angles would be 180. Using this, we can create an equation.

x + m<1 = 180

91 + m<1 = 180

m<1 = 89

Hence, m<1 is 89*!

Hope this helped! <3

Answer:

Crawling

Step-by-step explanation:

Answer:

1-4=-3

-1-4=-5

-1+4=3

1-|-4|=5

Answer:

[tex]1-4=-3\\-1-4=-5\\-1+4=3\\1-(-4)=5[/tex]

Step-by-step explanation:

The hardest part about negative numbers in addition is remembering when to add, rather than subtract. In the last equation, we add the numbers together, because the negative sign cancels out with subtraction. All of the other equations we can follow exactly what it says to do, because there are no minus signs right next to each other.

Answer:

3n+2

Step-by-step explanation:

−n+(−4)−(−4n)+6

Combine like terms

−n−(−4n)+6+(−4)

A negative negative is like adding

−n+(4n)+6+(-4)

3n+2

Answer:

23.32 Miles

Step-by-step explanation:

According to the Question,

(For Diagram Please Find in Attachment)

In Triangle ABC , Apply Pythagoras Theorem, We get

AC²=AB² + BC²

AC² = 12² + 20²

AC² = 544 ⇒ √544 ⇔ 23.32 miles

Answer:

100°

Step-by-step explanation:

m L 1 = (180-100) + 20 = 80+20 = 100°

Answer:

The correct answer us 9/15<4/4

Can I please have a brainliest? I want to rank up :)

Answer:

[tex]\sqrt{1}[/tex]

Step-by-step explanation:

Anything to the zeroth power becomes 1, and anything to the negative power can be turned into the root of it. For example, 1 to the -2 power = [tex]\sqrt{1\\}[/tex]

Hope this helps!!

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Answer:

Sum of the first 41 terms = 6724

Step-by-step explanation:

[tex]a_{41} = a_1 + (n - 1 )d = 4 + (41 - 1) \times 8= 4 + 40 \times 8 = 324\\\\S_n = \frac{n}{2}(a_1 + a_n)\\\\s_{41} = \frac{41}{2} (4 + 324) = \frac{41}{2} \times 328 = 41 \times 164 = 6724[/tex]

The sum of the first 41 terms of the following series, to the nearest integer, is 6724.

A series of integers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.

Given:

An arithmetic sequence,

4, 12,20,...

The common difference d,

d = 20 - 12 = 8.

To find the sum of the first 41 terms:

We will find the 41st term.

Remember that,

aₙ= a₁ + (n-1)d

a₄₁ = 4 + (40)8

    = 324

The sum of the first 41 terms,

Sₙ = (41/2)(4 + 324) = 6724.

Therefore, the sum is 6724.

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