The volume of a cuboid is 308cm3. The length is 11cm and the width is 70mm. Work out the height of the cuboid in cm.

Answer:

the answer is 31!

Step-by-step explanation:

So if you do 12 x 3 that is 36 and 36-5 is 31

so then you see if it works

31 +5 = 36

36/3 = 12

Answer:

number: 31

Let the number be x

This number is added by 5, so: x + 5

Then we divide it total by 3, so: (x + 5)/3

And this equals to 12, (x + 5)/3 = 12

Solve for unknown number:

(x + 5)/3 = 12

x + 5 = 36

x = 36 - 5

x = 31

Step-by-step explanation:

sin²(x) + cos²(x) = 1

cos²(x) = 1 - sin²(x)

cos(x/2) = ±sqrt((1 + cos(x))/2)

in our case

sin(x) = 1/4, tan(x) > 0, so cos(x) is positive too.

sin²(x) = 1/4² = 1/16

cos²(x) = 1 - 1/16 = 15/16

cos(x) = sqrt(15)/4

cos(x/2) = sqrt((1 + sqrt(15)/4)/2) = sqrt(1/2 + sqrt(15)/8) =

= sqrt(8/16 + 2×sqrt(15)/16) =

= 1/4 × sqrt(8 + 2×sqrt(15))

so, D is correct

The formula is in a quadratic formula shape: [tex]y = ax^2+bx+c[/tex]

The function is negative since the value 'a' the coefficient of x^2 is negative meaning that the quadratic function is facing downards. If you don't get this explanation, take a look at the diagram I uploaded.

That means the highest point of the graph is its vertex.

But we must find where the vertex is at or the 't' value.

   't' value at which vertex is = [tex]-\frac{b}{2a} =-\frac{16}{2*(-16)} =\frac{1}{2}[/tex]

Now plug this 't' value into h(t) to find the maximum height, and we will get 36 feet.

Hope that helps!

Answer:

200 cm^3

Step-by-step explanation:

See attached image.

Answer:

The answer is 4.16!

Step-by-step explanation:

i think that is right

Answer:

B, C, and D.

Step-by-step explanation:

1. Finding the midpoint of a portion

2. Drawing an opposite line portion from an offered indicate a given fragment

3. Drawing an opposite line portion through a given point on a given section

4. Drawing a line through a given guide parallel toward a given line

Pls, choose me as brainliest!

Answer:

The volume of the prism is 72 cubic cm.

Step-by-step explanation:

This we know because a triangle with sides of 3 units, 4 units, and 5 units must be a 3–4–5 right triangle, the catheti (“legs”) of which are 3 and 4 units. So the area of the base is

3 cm. * 4 cm. / 2 = 6 square cm.

Lastly, the volume of the prism is the base area multiplied by the height:

6 square cm. * 12 cm. = 72 cubic cm.

Answer:

f(3)=1

Step-by-step explanation:

Basically, you go 3 units right on the x-axis starting from the origin (0,0), and go up until you touch the graph of the function. In this case, f(3)=1

Answer:

(2, 3 )

Step-by-step explanation:

5x - 4y = - 2 → (1)

2x + 4y = 16 → (2)

add (1) and (2) term by term to eliminate y

7x + 0 = 14

7x = 14 ( divide both sides by 7 )

x = 2

substitute x = 2 into either of the 2 equations and solve for y

substituting into (2)

2(2) + 4y = 16

4 + 4y = 16 ( subtract 4 from both sides )

4y = 12 ( divide both sides by 4 )

y = 3

solution is (2, 3 )

Answer:

( 2 , 3 )

Step-by-step explanation:

5x - 4y = - 2 ⇒ ( 1 )

2x + 4y = 16 ⇒ ( 2 )

( 1 ) + ( 2 )

5x - 4y + 2x + 4y = -2 + 16

7x = 14

Divide both sides by 7.

x = 2

Now let us take equation (1) to find the value of y.

5x - 4y = - 2

5 × 2 - 4y = -2

10 - 4y = -2

-4y = - 2 - 10

-4y = - 12

Divide both sides by ( -4 )

y = 3

Answer:

1. Scale factor - 7

Length of x - 28

2. Scale factor - 4

Length of x - 32

3. Scale factor - 3

Length of x - 9

Answer:

8 wholes 2 tenths 4 hundredths

Step-by-step explanation:

We just take apart the numbers and give them to other numbers. Hope it helped!

Answer:

x=8

Step-by-step explanation:

3x+16=5x

16=2x

8=x

Answer:

If a line has slope =m

then the slope of a line perpendicular to it is

(

−

1

m

)

Rewrite

5

x

+

3

y

=

8

in a slope-offset format

y

=

−

5

3

x

+

8

3

So the given equation has a slope of

(

−

5

3

)

and a line perpendicular to it has a slope of

(

3

5

)

Step-by-step explanation:

Answer:

....

....

....

...

.....

.....

Answer:

x ≈ 28°

Step-by-step explanation:

We know the hypotenuse (the longest side) and the opposite (the side opposite x) so we can use SOH:

sine x = opposite ÷ hypotenuse

Substitute in the values:

sin x = 7 ÷ 15

sin x = 0.4666...

Now we can do the inverse of sine to find x:

x = [tex]sin^{-1}[/tex](0.466..)

x = 27.818138... ≈ 28°

Hope this helps!

Answer:

16 cubic units

Step-by-step explanation:

Volume of 1 block = 1 cubic unit

No. of blocks = 16

Total volume = 1  x 16

= 16 cubic units

The total volume of the figure is 16 cubic units if the volume of 1 block is 1 cubic unit.

It is defined as three-dimensional geometry that has six square faces and eight vertices.

We have:

1 block = 1 cubic unit

Total number of blocks = 16

Total volume of the figure = 1×16 = 16 cubic units

Thus, the total volume of the figure is 16 cubic units if the volume of 1 block is 1 cubic unit.

Learn more about the cube here:

brainly.com/question/15420947

#SPJ2

friends go scuba diving. they rent a boat for x days and scuba gear for y people, represented by the equation 120x+50y=1000

how much money is spent in total

The scale that Chad used in the scale drawing is 1 inch: 9 feet

A ratio is a quantitative relationship between two different numbers that express the number of times in which a number is divisible within the other number.

In the ratio of an inch to feet; the scale that Chad used is:

= 1 inch : 9 feet

This is because 9 inches is divisible within the other number (i.e. 81 feet) in 9 times.

Learn more about ratio here:

https://brainly.com/question/2914376

Answer:

The statement that is accurate is A and pls 5 stars and brainliest

Step-by-step explanation:

Answer:

first answer is y = 2x + 2

second answer is y = 1/4x + 6

Step-by-step explanation:

sooo to find the slope you can just count it but i feel like using the equation

y2 - y1 / x2 - x1

is better

so lets substitute

6 - (-6) / 2 - (-4)

6 + 6 / 2 + 4

12 / 6

y = 2x + b

to find b we substitute a point we did not use yet (-2, -2)

-2 = 2(-2) + b

-2 = -4 + b

b = 2

y = 2x + 2

second question:

we do the same thing

(-4, 5) (8, 8)

8 - 5 / 8 - (-4)

3 / 12

1/ 4

y = 1/4x + b

since the graph shows the y intercept (0, 6) we can input it into the equation

y = 1/4x + 6

i cant check it (with a point) because there are not a lot of exact points, but this should be the answer

Answer:

5+6=11+1=12

Step-by-step explanation:

what is 12 halves? 6

Answer:

=

Step-by-step explanation:

3 feet = 1 yard, so knowing this, if you divide 12 feet by 3, you get 4

Another way you could check this is if you multiply the 4 yards by 3 feet per yard. You would get 12 feet.

Either way you do it, they are equal

Answer:

=

Step-by-step explanation:

      I am going to assume that this question is asking us to compare the two measures of distance.

      To do this, we need to convert them into the same unit. I am going to convert 4 yards into feet and leave 12 ft as 12 feet.

4 yards * 3 feet in a yard = 12 feet

Using the reflexive property, 12 feet is equal to 12 feet, so '=' completes this question.

Answer:

5/3, or 1.(6)

Step-by-step explanation:

find slope-intercept form

5x-3y=18

5x=3y+18

3y=5x-18

y=5/3x-6

slope is 5/3, or 1.(6)

The slope is 5/3 or 1.6.

It is the measure of the steepness of a line.

Given that

5x-3y = 18

Rearrange the equation

i.e. 5x-18 = 3y

y = (5/3)x - 6

The general form of the slope-intercept equation is

y = mx+c

By comparing the two equation, we get slope as

Slope of the line,m = 5/3 = 1.6

Hence, the slope of the given line is 1.6.

To learn more about slope, use the link given below:

https://brainly.com/question/3605446

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Answer:

On a number line think "I'm at number 1 and if I move myself up another line, and then another, I have just added 2, and gotten myself to 3" Answer is 1+2=3. THANK YOU FOR THESE EZ POINTS!

Step-by-step explanation:

Answer:

D) Figure M

A) Figure J

Step-by-step explanation:

Answer:

True if the question means a compass and straight edge.

Step-by-step explanation:

Its quite easy to split a line into any number of parts. This can be done by a scaling operation.

Answer:

True

Step-by-step explanation:

Yes, if the question means a compass and straight edge. Its quite easy to split a line into any number of parts. This can be done by a scaling operation.

Pls, choose me as brainliest!

Answer:

2 x 2 x 2 x 2 x 2 x 2 x 2 = 256

Answer:

The eccentricity of a hyperbola is calculated using the length of the transverse axis and the length of the conjugate axis.

Step-by-step explanation:

hope it helps!!!

Answer:

The eccentricity of a hyperbola is calculated using the length of the transverse axis and the length of the conjugate axis.

Step-by-step explanation:

Brainleist

Step-by-step explanation:

the ground level but not really sure