help me figure this out.

Given  : A solid wooden block in the shape of a rectangular prism has a length, width, and height of 3/8 centimeter, 1/8 centimeter, and 5/8 centimeter, respectively.

To Find :The volume of the block

The number of cubic wooden blocks with a side length of 1/8 centimeter that can be cut from the rectangular block  .  

Solution:

Volume of    rectangular prism  = length * width * height

= (3/8) ( 1/8) ( 5/8)

= 15/8³

= 15/512

= 0.029296875   cm³

Volume of  block   =    15/512 cm³ or  0.029296875   cm³

Volume of cube  =  ( edge length )³

=>  cubic wooden blocks volume  = (1/8)³  = 1/512   cm³

The number of cubic wooden blocks that can be cut =   (15/512) / (1 /512)

= 15

Volume of  block   =    15/512 cm³ or  0.029296875   cm³

The number of cubic wooden blocks that can be cut = 15

The volume of the wooden block is 5/64 cubic centimeters

The given parameters are:

Length = 3/8

Width = 1/8

Height = 5/3

The volume of a rectangular prism is:

Volume = Length * Width * Height

So, we have:

Volume = 3/8 * 1/8 * 5/3

Evaluate the product

Volume = 5/64

Hence, the volume of the wooden block is 5/64 cubic centimeters

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Answer:

40°

Step-by-step explanation:

180-(57+43)=100°

which mean the angle at the top =100°

180-100=80°

x=80/2

x=40

Answer:

The less expensive choice is the out-of-state college

Step-by-step explanation:

in-state-college: 1000(12)+3000=15000

out-of-state-college:450(12)+6500=11900

Answer:

There are 3 modes: 8, 7, 9

Step-by-step explanation:

Mode is the number that appears the most often

Hi the answer is 10.

The left side went from 18 to 6. So it got scaled down by a factor of 1/3.

If the bottom side is originally 30. It will get scaled down to 10 because 30*1/3 = 10.

Answer:

Step-by-step explanation:

To find measures of angles m and n

The triangle to the left has three sides of equal length.

This means that it will also have three angles of equal measure.

The internal angles of a triangle sum to 180°

So the internal angles of the left triangle are 180/3 = 60°

The top right angle is made up of one of the 60° angles and angle n

60 + n = 90

n = 30°

Again the internal angles of a triangle sum to 180°, so the right triangle

m + n + 90 = 180

m = 180 - 90 - 30

m  = 60°

or we could realize that the top and bottom horizontal lines are parallel because the vertical line on the right makes right angles to both of them.

Knowing that they are parallel, we also know that angle m and the top right 60° angle of the left triangle are opposite internal angles of a line intersecting parallel lines and must be identical angles, therefore

m = 60°

Answer:

EBD:130°

ABE:50°

Step-by-step explanation:

EBD=ABC=130°

ABE=CBD=50°

We want to study the angle of an arc given that the length of the said arc is smaller than the radius of the circle.

The correct option is:

"it is less than pi radians"

A circle of radius R has a circumference:

C = 2*pi*R

An arc defined by an angle θ has a length:

L = θ*R

Now, we know that the length of the arc is smaller than the radius, then we have:

θ*R < R

Dividing both sides by R we get:

θ < 1

So we can see that the correct option is:

"it is less than pi radians"

Because it is smaller than 1.

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An algorithm is the series of steps followed to do calculations especially by a computer.

[tex]\frac{1}{4}[/tex] × [tex]\frac{2}{3}[/tex] = [tex]\frac{2}{12}[/tex]  =[tex]\frac{1}{6}[/tex]

The algorithm would use the multiplication of the numerator with the numerator and the denominator with the denominator for solving simple multiplication of the proper fractions.

[tex]\frac{1}{4}[/tex] × [tex]\frac{2}{3}[/tex]

= (1×2)/(4×3)  ⇒ the numerators are multiplied and so the denominators

= 2/12

Now 2 is taken as common from both 2 and 12 ( numerator and denominator)

= (2/2 ) 1/6   taking 2 as common factor

= 1/6         cancelling 2 by 2

The diagram can be used to explain the same fact.

1 is multiplied with 2 and 4 is multiplied with 3.

Therefore we get 2 as numerator and 12 as denominator.

2/12 is further reduced to 1/6

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Answer:

i beleive it would be b4-3=n

Answer:

700,000.00

Step-by-step explanation:

Answer:

the place value is in the hundredth thousands

The answer is 5.10.

Wanna know why? Well

63.50 divided by 5 Minus .90. Your welcome

I know I'm awsome.

Brainliest pls

Answer:

( 5 , - 3 ) -------> ( 3 , 5 )

Step-by-step explanation:

After the rotation of 270° clockwise about the origin, the coordinate will become (3, - 5).

Given is a figure rotated 270° clockwise about the origin.

The algebraic rule for a figure that is rotated 270° clockwise about the origin is -

(x, y) → (y, -x)

Initial point marked on the figure : (5, 3)

After the rotation, the points will be : (3, - 5)

Therefore, after the rotation of 270° clockwise about the origin, the coordinate will become (3, - 5).

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Answer:

Light Red

Step-by-step explanation:

The pH of apple juice is found to be in the range of 2.9 - 3.5. So, the Colour of the universal indicator (pH paper) will be light red.

Answer:

1) 24

2) 24

3) b. 9n +5

Step-by-step explanation:

1) substitute

4(7) + 2(-2)

solve

28 + -4

24

2) substitute

P = (2)(3)(4)

multiply

24

4) im not sure, my apologies

5) i'm not sure, i don't understand what's being asked, if you rephrase this, i can give you an answer

have a lovely day <3

Answer:

1) 24

2) P=24

3) B: 9n+5

4) 6, 9, 12, 15, 18, 21...

Step-by-step explanation:

1) 4(7) + 2(-2) = 24

2) P = (2)(3)(4) = 24

3) 9n+5

4) 3+3=6+3+3+3

Step-by-step explanation:

Given,

S = 4LW + 2WH

S = 138

L = 9

W = 3

so value of H,

→ 138 = 2(9)(3) + 2(3)H

→ 138 = 54 +6H

→ 6H = 138 - 54 = 84

→ H = 84/6 = 14

therefore, value of H is 14.

hope this answer helps you dear and may u have a great day, take care

Answer:

A straight

B obtuse

C acute

Answer:

1) Straight a

2)Obtuse c

3)Acute d

4)Reflex b

Step-by-step explanation:

please mark me as brainlest

Answer:

are these all the same question?

Answer:So sorry come back later

So sorry come back later

Step-by-step explanation:So sorry come back later

Answer:

width= 74 yards

Step-by-step explanation:

see attached pdf for step-by-step explanation!

Answer:

2 x 6 = 12

5 x 7 = 35

12/35

Step-by-step explanation:

Answer:

12/35

Step-by-step explanation:

12/35

[tex]\frac{2}{5} *\frac{6}{7}[/tex]

You can't simplify 12/35

Answer:

e, b

Step-by-step explanation:

you gotta multiply and see if it matches the inequality

Answer:

-2/5 is correct

Step-by-step explanation:

Step-by-step explanation:

The time it takes for the manticore to travel 10 miles with the wind is given by

[tex]T_1 = \dfrac{10\:\text{mi}}{v_m + v_w}[/tex]

where [tex]v_m[/tex] is the speed of the manticore and [tex]v_w[/tex] is the speed of the wind.

Likewise, the time it takes for the manticore to travel 5 miles against the wind is

[tex]T_2 = \dfrac{5\:\text{mi}}{v_m - v_w}[/tex]

Since [tex]T_1 = T_2,[/tex] we can write

[tex]\dfrac{10\:\text{mi}}{v_m + v_w} = \dfrac{5\:\text{mi}}{v_m - v_w}[/tex]

After cross-multiplying,

[tex]10(v_m - v_w) = 5(v_m + v_w)[/tex]

[tex]\Rightarrow 10v_m - 10v_w = 5v_m + 5v_w[/tex]

Collecting similar terms, we get

[tex]15v_w = 5v_m[/tex]

Solving for [tex]v_w,[/tex] we get

[tex]v_w = \dfrac{5}{15}v_m = \dfrac{1}{3}v_m[/tex]

[tex]\:\:\:\:\:\:\:=\dfrac{1}{3}(30\:\text{mi/hr}) = 10\:\text{mi/hr}[/tex]

Speed of the wind as the mantle flies 30 mph is;

10 mph

t = distance/speed

Let v_m be speed of manticore

Let v_w be wind speed

t = 10/(v_m + v_w)

t = 5/(v_m - v_w)

I used negative sign between  v_m and v_w because the motion is against the wind.

10/(30 + v_w) = 5/(30 - v_w)

Rearranging gives us;

(10/5)(30 - v_w) = 30 + v_w

2(30 - v_w) = 30 + v_w

60 - 2v_w = 30 + v_w

30 = 3v_w

v_w = 30/3

v_w = 10 mph

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No it isn't. Using the substitution method, if we substitute x for 0, we get

y = 6(0)+7

y = 0+7

y = 7

y = 0+7

y = 7

Hence the solution is (0,7)

Answer:

22

Step-by-step explanation:

1. Plugin 4 for each corresponding X value

2. Should look like 4^2+7(4)-22

3. Once ran through a calculator you should end up with a value of 22

Answer:

Step-by-step explanation:

Multiply the numerator by the reciprocal of the denominator.

251

300

= 56

Any number can be converted to fraction if you use one for the denominator:

84/1

Therefore now that we've converted 84 into the fraction, to work out the lowest term, we put the fraction 2/3 side by side with our new fraction, 84/1 so that we should multiply those 2 fractions.

all you need to do is convert the whole number into the fraction or then multiply the numerators or denominators :

2 x 84 / 3 x 1

= 168 / 3

In this situation, our new fraction shall actually be the simplified down further. To do that, we want to find the greatest common factor of those numbers.

We can now sum both the new numerator or the denominator by the three to simplify this fraction down to its lowest terms.

168/3 = 56

3/3 = 1

When we put that together, we could see that our complete solution is:

56/1

= 56

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