Neptune's average distance from the Sun is 4.503 × 109 km. Mercury's average distance from the Sun is 5.791 × 107 km. About how many times farther from the Sun is Neptune than Mercury

Answer:

the answer is 5-2n please do you get it

Answer:

Perimeter = 44.8

Step-by-step explanation:

Perimeter = 2(13.4 + 9) = 44.8

Answer:

a. 4

b. 3

Step-by-step explanation:

The triangles are congruent so each side is the same.

The side DF is equal to AC which is equal to 4.

The side EF is equal to BC which is equal to 3.

Hope this helps :)  

Answer:

48

Step-by-step explanation:

First, we find 20% of 60. That is 12. Then we subtract 12 from 60, making 48.

9514 1404 393

Answer:

  y = 27

Step-by-step explanation:

The altitude of a right triangle creates two triangles that are each similar to each other and to the larger right triangle. This means corresponding sides are proportional.

If we write the proportion for the legs, we get ...

  (long leg) / (short leg) = y/18 = 18/12

Multiplying by 18 gives us ...

  y = 18(18/12)

  y = 27

_____

Additional comment

The leg/leg proportion above gave rise to the relation ...

  altitude² = (left hypotenuse segment)×(right hypotenuse segment)

That is, the altitude is the geometric mean of the two hypotenuse segments it touches. 18 = √(12y)

__

There are two other "geometric mean" relationships in this triangle.

Each of these relationships is ultimately derived from the fact that all of the triangles are similar. You really only need to remember that these triangles are all similar and corresponding sides of similar triangles are proportional. (In some cases, it can be a bit of a shortcut if you remember the geometric mean relations.)

Answer:

640 bagels

Rate: 40bagels/hour

Step-by-step explanation:

If the baker's at a bakery can make 160 bagels in 4 hours, then;

160 bagels = 4 hours

To calculate the amount the baker can bake in 16hours, we can write;

x bagels = 16hours

Divide both expressions

160/x = 4/16

160/x = 1/4

Cross multiply

x* 1= 160 * 4

x = 640

Hence the baker can bake 640 bagels in 16hours

To know the rate per hour, we can write;

x bagel = 1hr

Recall that; 160bagels = 4 hours

Cross multiply

x * 4 = 1 * 160

4x = 160

x = 160/4

x = 40

Hence the rate per hour is 40bagels/hour

Answer:

a³b²c⁵

Step-by-step explanation:

simply count them

Answer:

im pretty sure it is "4 units"

Step-by-step explanation:

Answer:

9 units²

Step-by-step explanation:

We know that ΔCRQ and ΔBOP are right triangles because RQ and OP are perpendicular to CB.

ΔAOR must also be a right triangle because ∠AOR = ∠OBP and ∠ARO = ∠RCQ.

Because of the Angle-Angle-Angle theorem, we know that ΔAOR ≅ ΔBOP ≅ ΔCRQ.

AR/AO = OP/PB

3(1/2)(AR)(AO) = (1/2)(OP)(PB)

PB = 6, OP = 3

3 x 3 = 9 units²

The area of square OPQR is 9 units².

Since

ΔCRQ and ΔBOP are right triangles since RQ and OP are perpendicular to CB.

Also,

ΔAOR must also be a right triangle due to ∠AOR = ∠OBP and ∠ARO = ∠RCQ.

So it can be like

AR/AO = OP/PB

3(1/2)(AR)(AO) = (1/2)(OP)(PB)

PB = 6, OP = 3

= 3 x 3

= 9 units²

hence, The area of square OPQR is 9 units².

Learn more about area here: https://brainly.com/question/24703634

Answer:

x &y=64 z=20

Step-by-step explanation:

ABD is an isosceles triangle therefore x and y will have the same angles.You will do 180(as angles in a triangle add up to 180) and subtract 52 which is 128.After that you then divide by 2 to get the values of x and y=64

To find z,you know that angles in a triangle equal 180 so you want to subtract 2 values from 180 to find z.To find the other value you do 180-y=180-64=116.Therefore 116+44=160, 180-160=20 so z=20

Answer:

55.5 km

Step-by-step explanation:

speed=distance/time

55.5= 333/6

Answer:

55.5 km per hour

Step-by-step explanation:

The simple formula is D_S-T

D is at the top for Distance

S is down to the left for speed

And T to the right as Time

Its simple so just take

Distance: 333km

Time: 6 hrs

333÷5=55.5/1

Answer: About 3.14 inches

Answer and Step-by-step explanation:

For this, you would need to use the trigonometric function Sine and cosine.

The trig equations are:

sin(θ) = [tex]\frac{opposite - side}{hypotenuse}[/tex]

cos(θ) = [tex]\frac{adjacent-side }{hypotenuse}[/tex]

Let's start with Sine:

sin(60) = [tex]\frac{x}{10\sqrt{3} }[/tex]

Multiply both sides of the equation by [tex]10\sqrt{3}[/tex].

[tex]10\sqrt{3} (sin(60)) = x[/tex]

Input into calculator and solve.

x = 15

Now for Cosine:

cos(60) = [tex]\frac{y}{10\sqrt{3} }[/tex]

Multiply both sides of the equation by [tex]10\sqrt{3}[/tex].

[tex]10\sqrt{3} (cos(60)) = x[/tex]

Input into calculator and solve.

y = [tex]5\sqrt{3}[/tex]

x = 15

y = [tex]5\sqrt{3}[/tex]

These are the answers.

I hope this helps!

#teamtrees #PAW (Plant And Water)

Step-by-step explanation:

It's a right triangle with one of the angles being 60°. This means that the leftover angle is 30°. This allows me to use the attached screenshot as a reference, so please check it out if you want to understand how to easily solve those types of equations in the future. Anyway, we can specify the hypotenuse as [tex]a[/tex] .

First, let's calculate the value of [tex]y[/tex].

[tex]a[/tex] = [tex]10\sqrt{3}[/tex]

[tex]y[/tex] = [tex]\frac{a}{2}[/tex]

[tex]y[/tex] = [tex]\frac{10\sqrt{3} }{2}[/tex]

[tex]y[/tex] = [tex]5\sqrt{3}[/tex]

----

Now, let's get to [tex]x[/tex]

[tex]a[/tex] = [tex]10\sqrt{3}[/tex]

[tex]x[/tex] = [tex]\frac{a\sqrt{3} }{2}[/tex]

[tex]x[/tex] = [tex]\frac{10 \sqrt{3} * \sqrt{3}}{2}[/tex]

[tex]x[/tex] = [tex]\frac{10 * 3}{2}[/tex]

[tex]x[/tex] = [tex]\frac{30}{2}[/tex]

[tex]x[/tex] = [tex]15[/tex]

----

[tex]x[/tex] = [tex]15[/tex] and [tex]y[/tex] = [tex]5\sqrt{3}[/tex]

Answer:

Step-by-step explanation:

D

Answer:

4th power

5x5x5x5 = 625

Step-by-step explanation:

Answer: log5(625)=x

Step-by-step explanation:

Answer:

y<14/3

Step-by-step explanation:

−3y < −14

dividing both side by -3

-3y/-3 <-14/-3

y<14/3

The solution of the inequality will be equal to y<14/3.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given inequality will be solved as,

−3y < −14

Dividing both sides by -3 and solving further.

-3y/-3 <-14/-3

y < 14

To know more about inequality follow

https://brainly.com/question/24372553

#SPJ2

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Answer:

  x = 33

Step-by-step explanation:

The angles are complementary.

  x° = 90° -57°

  x = 33

Answer:

4/21

Step-by-step explanation:

4/21 can't be reduced anymore there is no number that goes into 4 and 21 and divides perfectly.

4/21 = 4/21

42/54 = 21/27 = 7/9

18/27 = 6/9 = 2/3

2/10 = 1/5

Answer:

c)0.65

Step-by-step explanation:

Answer:

0.65

Step-by-step explanation:

1.2 + 0.65 = 1.85

1.85 + 0.65 = 2.5

2.5 + 0.65 = 3.15

And so on...

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

See https://brainly.com/question/22237817 for a complete explanation.

Answer: 60%

Step-by-step explanation: 1920/3200=.6  .6 in a percentage is 60%

Answer:

A) 3.44 ft²

Step-by-step explanation:

before cutouts, the area was 4 x 4 = 16 ft²

the circles have a diameter of 2 ft each, and a radius of 1 ft

each circle has an area pf (3.14)(1²) = 3.14 ft²

3.14 x 4 = 12.56 ft²

16 - 12.56 = 3.44 ft² left

Answer:

Jayhllaaa rember ur best fried Ana I went to different school and it ends at 3:10 I think but 4:00 for sure I don't have wifi but we can talk  thru here tomorrow I think we get the wifi then we talk okayy hewooo by they wayyy  

Step-by-step explanation:

bestiess

Answer:

57 years

Step-by-step explanation:

total=25*6=150

17+21+15+15+25+x=150

93+x=150

x=150-93

x=57

Answer:

age=57

Step-by-step explanation:

ages=17 21 15 15 25 ?

17+21+15+15+25=93(old mean)

17+21+15+15+25+?=25(new mean)

25(new mean)*6(number of numbers)=150

?=150-93=57

= 57

Answer: 30 cubic units

Step-by-step explanation:

Since the base has a volume of 2x3 or 6 and he plans on making the height 5 we must mutliply the base by height to get the new voulme so 6*5=30

Answer:

2.4 m

Step-by-step explanation:

A fórmula para o comprimento do arco é dada como:

Comprimento do arco = 2πr (θ / 360)

Onde r = raio = 3cm

θ = Ângulo em graus = 45 °

Comprimento do arco = 2 × π × 3 (45/360)

Comprimento do arco = 2.356194m

Aproximadamente = 2.4 m

Answer:

A is (-4,-3) and B is (6,-5)

Step-by-step explanation: