Evaluate
6x+4y-z. X:4,y:-2,z:3

Considering the circumference of the circle, it is found that the length of arc AB is of 3.1 meters.

The circumference of a circle of radius r is given by:

[tex]C = 2\pi r[/tex].

This measure is equivalent to the length of an arc of 360º.

In this problem, we have that the radius is of r = 3m, hence the circumference is given by:

C = 6 pi m.

Arc AB has an angle of 60º, hence it's length is 1/6 of the circumference, which will then be of pi m = 3.1 meters.

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Answer:

133.97 cu yds

Step-by-step explanation:

volume is 1/3 x pi x r^2 x h

The length of the diagonal will be 538.5 ft. Then the rate at which the angle from the man to the car is changing at the same moment will be 46.43 ft/s.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

A man stands 200 ft to the left of where a car starts moving north. The car is moving at 50ft/sec.

The rate at which the diagonal distance from the man to the car is changing once the car has been traveling for 10 seconds. Then the length of the diagonal will be

L² = x² + y²

L² = 200² + (50 × 10)²

L² = 40000 + 250000

L² = 290000

L = 538.50 ft

Then the rate at which the angle from the man to the car is changing at the same moment will be

L² = x² + y²

Differentiate with respect to time, then we have

         2L (dL/dt) = 0 + 2y (dy/dt)

2(538.5) (dL/dt) = 2 (500) (50)

                dL/dt = 46.43 ft/sec

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Negative when subtracted is counted as positive because negative multiplied with negative gives positive

-10-(-6)

-10+6

-4 answer

Answer:

-4

Step-by-step explanation:

(-10)-(-6)=

-10 + 6=

-4

hope this helps

have a good day

Answer:

48 weeks to save $108

Step-by-step explanation:

$13.50 = 6 weeks so dividing both sides by 6 would find out how much each week

$13.50 / 6 = 6 / 6 weeks

$2.25 = per week

so $2.25 times _____ = $108

2.25x = 108 divided both side by 2.25 to get x alone

x is defined by the number of weeks

2.25x / 2.25 = 108 / 2.25

x = 48            $2.25 times   48   = $108

Answer:

Left side                                  Right side

1                                                   3

2                                                  2

3                                                  1

Step-by-step explanation:

left side on the picture right side on the picture

Answer:

10, 20, 15

Step-by-step explanation:

10 is the lowest so that leaves the mean and range well the range is the highest value minus the lowest and the range is 10 so 20-10=10

so we now have 10 and 20 so then what number divided by three as in three darts equals 15 I go down the list and I get 45/3 and it equals 15

If Circle K has a radius of 8 inches. The figure that is closest to the length of FA is: 14.8.

MAC=1/2×360°=180°

mΔAFC=1/2×180°=90°

Circumference angle theorem

AK=8

AC=2

AK=16

Pythagorean theorem

FA²+FC²=AC²

Substitution

FA²+6²=16²

FA²+36=256

FA²=√220

FA=14.8

Therefore the figure that is closest to the length of FA is: 14.8.

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true...

cus their angles are same... if you rotate the second triangle once to the left side

hope it helps...!!!

Answer:

31.2%

Step-by-step explanation:

75000+35000 = 110000

160000 - 110000 = 50000

50000 ÷ 160000 = 0.312

0.312 x 100 = 31.2 %

Answer:

hope this helps!:)

Answer:

≈ [tex]\sf 203[/tex]

Answer:

112 are in each box

336 are edible

Step-by-step explanation:

672÷6= 112

672÷2= 336

The volume of a cylinder with a height of 12 millimeters and diameter of 18mm is 972π mm^3

The formula for calculating the volume of a cylinder is expressed as:

V = πr²h where:

r is the radius

h is the height

Given the following parameters

h = 12mm

r = 18/2 = 9mm

Substitute

V = π(9)²(12)
V = 972π mm^3

Hence the volume of a cylinder with a height of 12 millimeters and diameter of 18mm is 972π mm^3

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Answer:

C

Step-by-step explanation:

M 3,3

Step-by-step explanation:

the coordinates are in the y 3

Answer:

Jeff, 4.5 hours; Julia 9 hours.

Step-by-step explanation:

To solve the problem, we need to write two equations using the given information.

So, writing the first equation we have:

We know that Jeff can weed the garden twice as fas as his sister Julia, so:

Also, from the statement we know that they can weed the garden in 3 hours, so, writing the second equation we have:

Then, we need to substitute the first equation into the second equation in order to isolate Julia's rate, so, solving we have:

We have that Julia could weed the garden by herself in 9 hours.

So, calculating how long will it take to Jeff, we have:

We have that Jeff could weed the same garden by himself in 4.5 hours.

hope this helps!

Answer:If bees disappeared completely, the biodiversity of our planet would be greatly affected, depriving us of various plant species we eat and leading to the disappearance of thousands of species of plants, flowers and fruit trees, as well as honey.

Step-by-step explanation:

Answer:

82/9

Step-by-step explanation:

x - 1/x = 4

x - 1 = 4x

-1 = 3x

- 1/3 = x

from there just substitute in x for x² + 1/x² to get:

82/9 or 9.1 recurring

Answer:

3:1 or 9:3

Step-by-step explanation:

It wants a ratio of larger rectangle : smaller rectangle.

All we have to do is replace the values and we get 9:3, or simplified, 3:1

Hope this helped! I would appreciate a Brainliest if you wouldn't mind!

Answer:

the answer is B or at Least I think

Step-by-step explanation:

a rhombus.

all 4 sides are of equal length.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: log_{5}(2x) = 4[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x= {5}^{4} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x= 625[/tex]

[tex]\qquad \sf  \dashrightarrow \: x= 625 \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 312.5[/tex]

I Hope you understood the procedure ~

Answer:

0.973

Step-by-step explanation:

Solution

I'm going to discuss one way to do it, and then show a much better way.

If you attack the problem directly, there are 3 ways of placing just 1 day not being late

0.7 * 0.3 * 0.3  = .063

0.3 * 0.7 * 0.3 =  .063

0.3 * 0.3 * 0.7  = 0.63

Making it on on time on two days gives you 3 equations as well

0.7* 0.7 * 0.3 = .147

0.7* 0.3 * 0.7 = .147

0.3 * 0.7 * 0.7 = .147

Making it on time all three days

0.7 * 0.7 * 0.7 = .343

If you add add these up, you should get 0.973

There is a better way. First calculate what happens if he is late all three days.

0.3 * 0.3 * 0.3 = 0.027     No on times (.7) anywhere.

If you take 0.027 away from 1, you get 0.973 That takes care of all the times he was on time. Much neater and easier, no?

Answer:

Question 1: ∠V = 40° and MD = 17.62 and VD = 27.41 (work below)

Question 2: b. 60

Question 3: b. sinC

Step-by-step explanation:

If the height of a right triangular prism is 1 5/6 inches. The surface area of the solid formed is: 598.33 in².

First step

Right triangular prism=1 5/6 inches= 11/6 inches

Height of the base=8 2/3 inches = 26/3 inches

Second step

Surface area = 5(10× 10) + (0.5÷ 10 × 26/3) + 3(10× 11/6)

Surface area = 5(100) +43.33+ 3(18.33)

Surface area = 500) +43.33 + 55

Surface area = 598.33 in²

Therefore the surface area of the solid formed is about 598.33 in²

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