Answer this in two minutes

Answer:

126 cm³

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = Al ( A is the cross sectional area and l the length ), thus

V = 21 × 6

   = 126 cm³

Answer:

Step-by-step explanation:

Given,

Discount percent = 10%

Marked price ( MP ) = £ 60

Selling price ( SP ) = ?

Now, finding the discount amount:

Discount amount = discount percent of MP

= 10% of 60

= £ 6

Selling price = Marked price - Discount amount

=£ 60 - £ 6

= £ 54

hope this helps...

Good luck on your assignment..

Answer:

a) A₁ = 18 unit²

b) A₂ = 20 unit²

c) A₃ = 12 unit²

d) A₄ = 12 unit²

Step-by-step explanation:

a) Given that the side length of square is 6 units, we have;

The height of the square = The height of the triangle = 6 units

The base of the triangle = The side length of the square = 6 units

The area of a triangle A₁ = 1/2×base×height = 1/2×6×6 = 18 unit²

b) The side of the square A₂ forms an hypotenuse side to the side length 2 and 4 on sides of the circumscribing square

The length of the side = √(4^2 + 2^2) = 2·√5

A₂ = The area of a square =Side² = (2·√5)² = 20 unit²

c) The base length of the triangle, A₃ + 2 = The side length of the circumscribing square = 6 units

∴ The base length of the triangle, ₃₂ = 6 - 2 = 4 units

The height of the triangle, A₃ = The  side length of the circumscribing square = 6 units

The area of a triangle A₃ = 1/2×base×height = 1/2×4×6 = 12 unit²

d) Figure, A₄, is a parallelogram;

The area of a parallelogram = Base × Height

The base of the parallelogram, A₄ + 4 = 6 units

Therefore, the base of the parallelogram, A₄ = 6 - 4 = 2 units

The height of the parallelogram = The  side length of the circumscribing square = 6 units

The area of a parallelogram A₄ = 2× 6 = 12 unit².

I'm assuming your teacher wants you to distribute. If so, then you multiply the outer term 8 by each term inside (3a and 5). After that you add.

8 times 3a = 24a

8 times 5 = 40

So 8(3a+5) becomes 24a+40

We do not combine 24a and 40 as they are not like terms. So we leave 24a+40 as it is.

Answer:

1/2

Step-by-step explanation:

[tex]sin(\frac{\pi }{6} )=\frac{1}{2}[/tex]

sin(pi) = 0

sin(7pi/6) = -1/2

sin(pi/6) = 1/2

sin 3pi/2 = -1

sin pi/2 = 1

sin pi/3 = √3/2

sin 4pi/3 = -√3/2

Answer:

1/2

Step-by-step explanation:

I got it right on the exam.

Answer:

The answer is

Step-by-step explanation:

To find the volume of the sphere we must first find the radius

Surface area of a sphere = 4πr²

where r is the radius

From the question surface area = 3000m²

3000 = 4πr²

Divide both sides by 4π

750/π = r²

Find the square root of both sides

r = 15.45 cm

Volume of a sphere is 4/3πr³

So we have

4/3π(15.45)³

= 15448.06

= 15448m³ to the nearest hundredth

Hope this helps you

Answer:

  (A) see the attachments

Step-by-step explanation:

The graph is constant from x=2 to x=10. This eliminates all descriptions except A, which is the correct one.

Answer:

your answer is A 3 inches

Answer:

[tex]y=\frac{1}{3} x+7[/tex]

Step-by-step explanation:

We need to find the equation of a line perpendicular to [tex]y=-3x-3[/tex], which passes through the point (-3, 6).

Recall that a line perpendicular to a line of the form: [tex]y=mx+b[/tex], must have a slope which is the opposite of the reciprocal of the slope of the original line. that is, a slope of the form;

[tex]slope=-\frac{1}{m}[/tex]

Then, in our case, since the original line has slope "-3", a perpendicular line to it should have a slope given by:

[tex]slope=-\frac{1}{-3} =\frac{1}{3}[/tex]

We now know the slope, and also a point for this new line, so we use the point-slope form of a line:

[tex]y-y_0=m_\perp\,(x-x_0)\\y-6=\frac{1}{3} (x-(-3))\\y-6=\frac{1}{3} x+\frac{3}{3} \\y-6=\frac{1}{3} x+1\\y=\frac{1}{3} x+7[/tex]

Answer:

Step-by-step explanation:

The two equations are 8x-10y=-23 and 9x+10y=-16.

If you plug them both into a graphing calculator, you will see that the point where they cross (the solution) is (-2.3, 0.5).

The answer is A.

Answer:

i think it is A

Step-by-step explanation:

if right pls give brainliest

Nvm it is right pls give brainliest i need 5 to get to next rank

Answer:

y = (x - 2)²

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (2, 0) , thus

y = a(x - 2)² + 0

To find a substitute the y- intercept (0, 4) into the equation

4 = a(- 2)² = 4a ( divide both sides by 4 )

a = 1

y = (x - 2)² ← equation of parabola in vertex form

Hey there!

"8x = 25"

In order for you to solve for "x-value" (or the equation) we have to DIVIDE both of your sides by 8

8x/8 = 25/8

Cancel out: 8x/8 because that gives you the value of 1 and you don't need it at the moment (in that equation that is)

Keep: 25/8 Because it solves for your equation

Your x equals: 25/8 aka 1 1/8 aka 3.125 (you could choose any one of these as your answer because they are all correct)

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

Pretty Simple!

Step-by-step explanation:

So, according to similar triangles, all the measures of their corresponding angles are equal.

According to the picture, <A corresponds to <D. Thus:

m<D=32 degrees

Hope this helps!

Answer:

C. 32°  

Step-by-step explanation:

If two triangles are similar, their corresponding angles must be equal.

∠D corresponds to ∠A, so

  ∠D = ∠A

  ∠A = 32°

∴ ∠D = 32°

Answer:

Step-by-step explanation:

The unit of a volume: [tex]cm^3[/tex]

The unit of a density: [tex]\dfrac{g}{cm^3}[/tex]

The density is [tex]\dfrac{mass}{volume}[/tex]

Substitute:

[tex]\dfrac{8.05g}{cm^3}=\dfrac{750g}{V}[/tex]

cross multiply

[tex]8.05gV=750gcm^3[/tex]

divide both sides by 8.05g

[tex]V\approx93.17cm^3[/tex]

The formula of a volume of a square pyramid:

[tex]V=\dfrac{1}{3}a^2H[/tex]

a - length of  square base

H - height of a pyramid

We have:

[tex]V=93.17cm^3;\ H=13.5cm[/tex]

Substitute:

[tex]93.17=\dfrac{1}{3}a^2(13.5)[/tex]

multiply both sides by 3

[tex]279.51=13.5H[/tex]

[tex]297.51=13.5a^2[/tex]

divide both sides by 13.5

[tex]a^2\approx20.7\to a=\sqrt{20.7}\approx4.55(cm)[/tex]

Answer:

Step-by-step explanation:

volume of pyramid=1/3×base area×height

let the length of base=x

base area=x²

volume V=1/3×x²×13.5=4.5 x²

mass=volume×density

750=4.5 x²×8.05=36.225 x²

x²=750/36.225

x=√(750/36.225)≈4.55 cm

Greetings from Brasil...

Pure application of trigonometry - tangent

see the attachment

H = X + 6

and

TG 33 = X/60

X = 60.TG 33

X ≈ 39

H = X + 6

H = 39 + 6

Answer:

The answer is 1/5

Step-by-step explanation:

Answer:

  f(x) = x^3 -5x^2 +25x -125

Step-by-step explanation:

For zero x=a, one of the factors is (x -a). If the polynomial has integer coefficients, its complex roots come in conjugate pairs. So, the roots are ...

  roots: -5i, 5i, 5

  factors: (x -(-5i))(x -5i)(x -5)

Multiplying these out gives your polynomial as ...

  f(x) = (x^2 +25)(x -5)

  f(x) = x^3 -5x^2 +25x -125

Answer:

x = 59

Step-by-step explanation:

x−2=57

Add 2 to each side

x−2+2=57+2

x = 59

Answer:

X=59

Step-by-step explanation:

x−2=57

to isolate X you would have to add 2 to each side. x-2(+2)=x and 57(+2)=59

Answer:

Option (D) is the correct option.

Step-by-step explanation:

Let the equation of a line which passes through (x', y') and slope 'm' is,

y - y' = m(x - x')

If this line passes through a point (-6, -5) and slope 'm' = 6

Equation of the line will be,

y -(-5) = 6[x - (-6)]

y + 5 = 6(x + 6)

Therefore, equation the line will be y + 5 = 6(x + 6).

Option (D) will be the answer.

Answer:

I hope it will surely help uh.....

Answer:

sqrt of 7

Step-by-step explanation:

Answer:

To eliminate solve for y, we need to eliminate x and we will do that by multiplying the first  equation by 8   and multiply the second equation by 9.

y=6

Step-by-step explanation:

In the equations:

9x + 3y = -18  -----------------------------------------------------------------(1)

8x + 7y = 10 --------------------------------------------------------------------(2)

To solve for  y, we will have to eliminate x

To eliminate x, we will follow the steps below;

multiply equation (1) through by 8   and multiply equation (2) through by 9

The resulting equations are

72x + 24y  = -144 ----------------------------------------------------------(3)

72x +  63y =  90  -----------------------------------------------------------(4)

Then we will go ahead and subtract equation  (4) from equation (3)

39y =234

divide both-side of the equation by 39

39y /39=234/39

y=6

The number of boxes can't be negative or in fractions.

so the domain would be "All whole numbers from 0 to 10"

Answer:

A) All whole numbers from 0 to 10.

Step-by-step explanation:

The domain of a function is given by the available values of the independent variable.

In this case you have that the independent variable is the number of boxes, and the available values of this variable are integers in between 0 and 10, by including 0 and 10.

Then, the domain of the functions composed by all positive integers number from 0 to 10 including 0 and 10.

A) All whole numbers from 0 to 10.

Answer:

8

Step-by-step explanation:

2 x 2 x 2 = 8

you have 2 choices each time, with or without

Answer:

m= -29

Step-by-step explanation:

This is a bit of a complex equation, but let's work through it.

2/3 (m-1/2) +3= m/3-7

First, we need to distribute the 2/3.

(2/3)(m)+(2/3)(−1/2)+3=m/3+−7

Now we simplify that.

2/3m+−1/3+3=1/3m+−7

We can now combine like terms.

2/3m+8/3=1/3m+−7

The goal is to isolate the variable, so we should subtract 1/3m from both sides.

1/3m+8/3=−7

Lets keep going! We can subtract 8/3 from both sides.

1/3m=-29/3

Well now we know what 1/3 of m is, but we want to know what m is. So we can multiply both sides by three to finally find out what m is!

m=-29

We did it! m=-29

Answer:

4 miles

Step-by-step explanation:

Solution:-

- This question pertains to special right angle triangles.

- This requires the use of special angles like ( 30°, 45°, 60° ) for all three trigonometric ratios that give us exact answers in the form of radicals.

- We will make a table of all three trigonometric ratios for the 3 special angles given above as follows:

                          30°           45°            60°

     sin               1/2           1/√2        √3 / 2

      cos           √3 / 2        1/√2           1/2

      tan             1 /√3          1              √3

- Now take a look at the figure and determine the appropriate trigonometric ratio that could be used to determine the distance ( q ). We are given an opposite angle ( θ = 45° ) and hypotenuse of the right angle triangle ( H = 4√2 mi )

- We see that the sine ratio is the most appropriate which can be written as:

                       sin ( θ ) = q / H = q / 4√2

                       sin ( 45° ) = q / 4√2  

                       q = 4√2  *  sin ( 45° )   ... Use above table for sin ( 45° )

                       q = 4√2  *  [ 1 / √2 ]

                       q = 4 miles  ... Answer

Answer:

The correct options are;

g(x) = -0.27·x² + x  + 5

h(x) = 2·㏒(x + 1) + 5

Step-by-step explanation:

To answer the question, we substitute x = 1.9 seconds into the given options as follows;

1) For f(x) = √(1.6·x) + 5

When x = 1.9 seconds, we have;

y = f(1.9) = √(1.6×1.9) + 5 = 6.74 which is not equal to the given height of 5.9 meters

Therefore, f(x) = √(1.6·x) + 5 does not model the height of the drone y as a function of time, x

2) For g(x) = -0.27·x² + x  + 5

When x = 1.9 seconds, we have;

y = g(1.9) = -0.27×1.9^2 + 1.9  + 5 = 5.93 meters, which is approximately 5.9 meters to one place of decimal

Therefore, the function, g(x) = -0.27·x² + x  + 5,  approximately models the height of the drone y as a function of time, x

3) For h(x) = 2·㏒(x + 1) + 5

When x = 1.9 seconds, we have;

y = h(1.9) = 2·log(1.9 + 1) + 5 = 5.92 meters,

The function, h(x) = 2·㏒(x + 1) + 5,  approximately models the height of the drone y as a function of time, x

4) For j(x) = -∛(-1.4·x - 1) + 5

When x = 1.9 seconds, we have;

y = j(1.9) = -∛(-1.4×1.9 - 1) + 5 = 6.54 meters

The function j(x) = -∛(-1.4·x - 1) + 5 does not model the height of the drone y as a function of time, x

5) For k(x) = -1.2·x³ + 2.6·x² - 0.5·x + 5

When x = 1.9 seconds, we have;

y = k(1.9) = -1.2×1.9^3 + 2.6×1.9^2 - 0.5×1.9 + 5 = 5.21 meters

Therefore, the function, k(x) = -1.2·x³ + 2.6·x² - 0.5·x + 5, does not model the height of the drone y as a function of time, x

Answer:

I'd cross multiply to solve this equation.

Step-by-step explanation:

Since we have a fraction where we're finding a ratio:

[tex]\frac{3}{x} = \frac{6}{14}[/tex],

I'd find it easiest to cross multiply. This is because we are finding an equivalent to a ratio, so cross multiplication works best here.

Let's solve it.

[tex]14\cdot 3 = 42\\42\div6=7[/tex]

x = 7

Hope this helped!