5 km= _ m I don't understand

The volume of the oblique cylinder that has the given dimension is: 5,338 cm³.

Volume = πr²h, where h is the height and r is the radius of the oblique cylinder.

Given the following:

Volume of oblique cylinder = πr²h = (3.14)(10²)(17)

Volume of oblique cylinder = 5,338 cm³

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Answer:

7[tex]\sqrt{7}[/tex]

Step-by-step explanation:

Take 9 out of [tex]\sqrt{63}[/tex]

You get 3[tex]\sqrt{7}[/tex]

Take 4 out of [tex]\sqrt{28}[/tex]

You get 2[tex]\sqrt{7}[/tex]

So, 3(3[tex]\sqrt{7}[/tex]) - 2[tex]\sqrt{7}[/tex]

= 9  [tex]\sqrt{7}[/tex] - 2[tex]\sqrt{7}[/tex]

=7[tex]\sqrt{7}[/tex]

The volume of the den ( 2240ft³ ) is 1960ft³ more than the volume of the bedroom ( 280ft³ ).

Hence, the den will not have double the volume of the bedroom.

Given the dimensions in the question, the bedroom and the den takes the shape of rectangular prism.

Volume of rectangular prism is expressed as;

V = l × b × h

Given that;

First we calculate the volume of the bedroom.

V = l × b × h

Vr = 10ft × 4ft × 7ft

Vr = 280ft³

Next, we determine the volume of the den

V = l × b × h

Vd = 20ft × 8ft × 14ft

Vd = 2240ft³

The volume of the den ( 2240ft³ ) is 1960ft³ more than the volume of the bedroom ( 280ft³ ).

Hence, the den will not have double the volume of the bedroom.

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Answer & Step-by-step explanation:

USDA's Dietary Guidelines for Americans provide percent ranges for each macronutrient. For adults, the organization recommends consuming 10%–35% of calories from protein, 45%–65% from carbohydrates, and 20%–35% of calories from fat. They also suggest consuming less than 10% of total calories from saturated fat.

Answer:

cos(2x) = [tex]\frac{119}{169}[/tex]

Answer:

depends on where you look

Answer:

18.4 years

Step-by-step explanation:

The compound interest formula:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

For this problem we have

[tex]P= 2000\\r= 0.06\\n= 4\\A= 2000(3)= 6000[/tex]

We plug our numbers...

[tex]6,000= 2,000(1+\frac{0.06}{4} )^{4t} \\[/tex]

Then divide

[tex]6,000/2,000=3[/tex]

[tex]3= (1.015)^{4t}[/tex]

Apply log both sides

[tex]3log=(1.015) 4tlog[/tex]

Solve for t

[tex]t= \frac{3log}{(4log(1.015))} =18.4 years[/tex]

Answers:

x = 16

y = 41

z = 123

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

Explanation:

Focus on the large triangle on the left.

The three interior angles of any triangle add to 180 degrees.

57+82+y = 180

y+139 = 180

y = 180-139

y = 41

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

Now focus on the large triangle on the right.

We'll use the same idea as before.

x+102+62 = 180

x+164 = 180

x = 180-164

x = 16

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

The last triangle to focus on is the small one in the middle.

Use the values of x and y to find z.

x+y+z = 180

16+41+z = 180

57+z = 180

z = 180-57

z = 123

Answer:

The angles inside of a triangle always add up to 360 therefore we can easily determine what the angle of x and y is because they are a part of two triangles that have two angles each.  Let's first determine x.

[tex]x = 180 - (102+ 62)[/tex]

[tex]x = 180 - 164[/tex]

[tex]x = 16[/tex]

The second step that we need to do is to determine y using 82 and 57.

[tex]y = 180 - (82 + 57)[/tex]

[tex]y = 180 - 139[/tex]

[tex]y = 41[/tex]

The final step is to determine z using x and y

[tex]z = 180 - (x + y)[/tex]

[tex]z = 180 - (16 + 41)[/tex]

[tex]z = 180 - 57[/tex]

[tex]z = 123[/tex]

Therefore, x = 15 and y = 41 and z = 123

Hope this helps!

answer: 15

steps:

i means √-1

but in this problem treat

i like x

(7-i) + (5 + 3i) - (-3 + 2i) =

(7-i) + (5 + 3i) +3 - 2i

7-i + 5 + 3i +3 - 2i =

7-i + 5 + 3i +3 - 2i

7+5+3-i+3i-2i

7+5+3+2i-2i

7+5+3 =

15

Answer:

you should take the time and study

Step-by-step explanation:

Answer:

Slope = -0.020/2.000 = -0.010

 x-intercept = 3000/1 = 3000.00000

 y-intercept = 3000/100 = 30

Step-by-step explanation:

I think

Answer:

B. 2

Step-by-step explanation:

Here we need to the find the value in the green box.

Hence, only evaluate the part to the left of the operation sign.

Answer:

The value of y is 4.

Step-by-step explanation:

Note the system of equation:

x + y = 24

5y = x

First, plug in 5y for x in the first equation:

x + y = 24

(5y) + y = 24

Simplify. Combine like terms. Like terms are terms that have the same amount of the same variable:

(5y + y) = 24

(6y) = 24

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Divide 6 from both sides of the equation:

(6y)/6 = (24)/6

y = 24/6 = 4

Now, plug in 4 for y in one of the given equations in the system of equation:

x + y = 24

x + (4) = 24

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 4 from both sides of the answer:

x + 4 = 24

x + 4 (-4) = 24 (-4)

x = 24 - 4

x = 20

x = 20 , y = 4

~

Check. Use the other equation. Plug in 4 for y, and 20 for x:

5y = x

5(4) = (20)

5 * 4 = 20

20 = 20 (True)

~

The value of y is 4.

Answer:

x=5.11

Step-by-step explanation:

Hi there!

We are given a right triangle (notice the right angle), with one of the angles being equal to 64 degrees

We also know one of the sides is 42, another is x, and the other one is not marked

We want to find the value of x, which we can do using trigonometry

The 3 main trigonometric functions are:
Sine, which is opposite/hypotenuse

Cosine, which is adjacent/hypotenuse

Tangent, which is opposite/adjacent

First, let's find which side is which

The side opposite the 64 degree angle is the opposite; this side is the side marked as 42

The adjacent side would be the other leg (one of the sides creating the right angle); in this case, that would be the side marked as x

The hypotenuse in this case would be the side that hasn't been marked yet

Since we are given values for both the opposite and the adjacent, let's use tangent to find x

Since 64° was the angle we referenced to determine which side was which, we will also make the ratio with this angle.

Therefore, the ratio will be:

[tex]tan(64)=\frac{42}{x}[/tex]

Now we need to solve for x; start by multiplying both sides by x

x * tan(64) = 12

Now divide both sides by tan(64)

x = [tex]\frac{12}{tan(64)}[/tex]

Plug [tex]\frac{12}{tan(64)}[/tex] into your calculator; make sure the calculator is on degree, not radian mode

[tex]\frac{12}{tan(64)}[/tex] ≈ 5.11 (rounded to the nearest hundreth)

So x is about 5.11

Hope this helps!

Topic: trigonometry in right triangles

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Answer:

(5, -3)

Step-by-step explanation:

Solve for x and solve for y by making each set of brackets equal to 0

Answer: 2277 Newtons

Step-by-step explanation:

I will show you how to do this the Physics way, so first we must write down our given values.

gravitational field = gravity = 25.3 N/kg

Mass of the astronaut = 90kg

Fun fact: know that if you convert the Newtons to a different unit, Newtons = kg (m/s^2) so we can say that instead of N/kg, we can write it as m/s^2 because if we divide kg(m/s^2) with kg, you’ll end with m/s^2

If you’re in physics, we always work with m/s^2 for every acceleration that exists. So we basically have 25.3 m/s^2 for gravity.

To find the weight, we can use the F=ma formula but rewritten as Weight = mass * gravity

Weight = (90kg)(25.3 m/s^2) = Option D = 2277 Newtons

Answer:

-4 < x < -2

Step-by-step explanation:

Taking the left part of the inequality :

Taking the right part of the inequality :

Solution :

Based on the rate the bird is flying and the distance above your head, the speed of change in the angle of elevation is 0.018 rad/sec.

First use the Pythogoreous theorem to find the distance between you and the bird at 80 m:

= √(60² + 80²)

= √(3,600 + 6,400

= 100 m

Cos² = 80² / 100²

= 16 /25

Differentiate this to get:

= ((-60 x 16/25) / 80²) x (-3)

= 9/500

= 0.018 rad/sec

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Answer:

178

Step-by-step explanation:

100 plus 78 equal s 179

Answer:f^8

Step-by-step explanation:

F^7 multiplied by F^1 =f (7+6+1)= f^8F

The possibility of selecting a 4 characters long password consisting of 3 letters and one number if letters cannot be repeated and the password must end with a number is 156000

An equation is an expression that shows the relationship between two or more number and variables.

The possibility of selecting the password = 26 * 25 * 24 * 10 = 156000

The possibility of selecting a 4 characters long password consisting of 3 letters and one number if letters cannot be repeated and the password must end with a number is 156000

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Answer:

 (a) isosceles

 (b), (c) scalene

Step-by-step explanation:

The lengths of the sides can be found from the distance formula:

 d = √((x2 -x1)^2 +(y2 -y1)^2)

Here, there are 9 lengths to be computed, so it is useful to let a spreadsheet or graphing calculator do it.

We find triangle (a) has two sides the same length, so it is isosceles.

The other two triangles have three different side lengths, so they are scalene.

_____

Additional comment

It is impossible to specify an equilateral triangle using rational coordinates.

The values of the function y = (x +3)(x - 2) at x = 1 and x = 2 are -4 and 0, respectively

The function is given as:

y = (x +3)(x - 2)

When x = 1, we have:

y = (1 +3)(1 - 2)

y = -4

When x = 2, we have:

y = (2 +3)(2 - 2)

y = 0

Hence, the values of the function y = (x +3)(x - 2) at x = 1 and x = 2 are -4 and 0, respectively

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Answer:

  (a) $1.92

  (b) $11.68

  (c) $19.21

Step-by-step explanation:

The tax is the product of the tax rate (7.5%) and the taxed amount.

__

  0.075 × $25.55 ≈ $1.92

  0.075 × $155.75 ≈ $11.68

  0.075 × $256.18 ≈ $19.21

_____

It is convenient to use a calculator for these values. A suitable calculator can do the rounding for you.

Answer:

(2, 0) and (-7, 0)

N

C.

b.

(2, 0) and (-2, 0)

There are no x-intercepts

d.

(9, 0) and (-2, 0)

Please select the best answer from the choices provided

O A

B

C

Step-by-step explanation:

Answer:

7.615773105864

Step-by-step explanation:

[tex]\text{let A and B be the points of coordinates} \ A\left( 3,-9\right) \text{and} \ B\left( 6,-2\right)[/tex]

[tex]AB=\sqrt{\left( 6-3\right)^{2} +\left( -2-(-9)\right)^{2} }[/tex]

     [tex]=\sqrt{\left( 3\right)^{2} +\left( 7\right)^{2} }[/tex]

     [tex]=\sqrt{58} =7.615773105864[/tex]

Answer:

Total ounces should be 12

and hence

x + y = 12

and total money to spend is 50, hence

3.5x + 4.5y = 50

Therefore, these are the two ✌️ equations you should use

x + y = 12

3.5x + 4.5y = 50

The 15 children get an opportunity to ride a horse before they rest if the horse ride lasts 5 minutes with a 1-minute pause in between the next ride. After every hour and a half, the horse is given a rest

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

Each horse ride lasts 5 minutes, with a 1-minute pause in between the next ride. After every hour and a half, the horse is given a rest.

Let's assume the number of children that rides the horse is x

Then we can frame a linear equation in one variable:

5x + 1x = 60+30  (After every hour and a half, the horse is given a rest.)

After solving we get:

6x = 90

x = 15 rides

Thus, the 15 children get an opportunity to ride a horse before they rest if the horse ride lasts 5 minutes with a 1-minute pause in between the next ride. After every hour and a half, the horse is given a rest

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The Equation of parabola with focus (3,1) and directrix y = 3 is [tex]10x^2 + 9y^2-60x -14y+91 =0[/tex]

A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves.

Here, focus (3,1) and directrix y=3

Let the locus of parabola be (x, y)

We know that, in Parabola

Distance between locus to focus = Distance between locus to directrix line

[tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex] = [tex]\frac{Ax_{1}+By_{1}+C }{\sqrt{A^2 + B^2 + C^2} }[/tex]

[tex]\sqrt{(x-3)^2+(y-1)^2} = \frac{0.x+1.y-3}{\sqrt{0^2+1^2+(-3)^2} }[/tex]

On squaring both sides, we get

[tex](x-3)^2 + (y-1)^2 = (\frac{y-3}{\sqrt{10} } )^2[/tex]

[tex]x^2 -6x + 9 + y^2 -2y + 1 = \frac{y^2 -6y +9}{10}[/tex]

[tex]10x^2 + 9y^2-60x -14y+91 =0[/tex]

Thus, The Equation of parabola with focus (3,1) and directrix y = 3 is [tex]10x^2 + 9y^2-60x -14y+91 =0[/tex]

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