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2 years ago

What is the area of this face ?

Mathematics

2 answers:

jekas [21]2 years ago

6 0

Answer: The area of the face is 15 sq. in.

Step-by-step explanation: We are given to find the area of the yellow-coloured face in the figure.

The area of the coloured face is equal to the area of one face of a cube of side 4 in MINUS the area of one face of a cube of side 1 inch.

The area of one face of a cube of side 4 in is given by

$A=\textup{area of a square of side length 4 in.}=4\times 4=16\textup{ sq. in.}$

and the area one face of a cube of side 1 in is given by

$a=\textup{area of a square of side length 1 in.}=1\times 1=1\textup{ sq. in.}$

Therefore, the area of the coloured face will be

$Area=A-a=16-1=15\textup{ sq. in.}$

Thus, the area of the face is 15 sq. in.

romanna [79]2 years ago

3 0

4•4 -1•1 = 16-1 = 15 square inches

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How to solve this equation please I need help?

Vesna [10]

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2 years ago

8 cups of orange juice is used for the fruit punch for every 12 cups of apple juice. If there is a total of 60 cups of fruit pun

Ostrovityanka [42]

Answer:

It would be 40 Orange Juice cup

Step-by-step explanation:

Cause 12 times 5 would equal 60

So if you times 5 and 8 it would be 40

6 0

2 years ago

What is the answer for m/1 =

Jobisdone [24]

<h3>Answer: 133</h3>

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

Explanation:

The quickest way to get this answer is to add the angles given to get 87+46 = 133

This is through the use of the remote interior angle theorem.

Note how the angles 87 and 46 are interior, or inside the triangle. And also, they are not adjacent to the exterior angle we want to find. So that's where the "remote" portion comes in.

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

The slightly longer method involves letting x be the measure of the missing interior angle of the triangle.

The three interior angles add to 180

87+46+x = 180

133+x = 180

x = 180 - 133

x = 47

The missing interior angle of the triangle is 47 degrees.

Angle 1 is adjacent and supplementary to this 47 degree angle, so,

(angle1)+(47) = 180

angle1 = 180-47

angle1 = 133 degrees

This example helps confirm that the remote interior angle theorem is correct.

6 0

1 year ago

Mary is making some shirts for her school's drama department. The fabric store has 3 1/6 yards of the fabric she wants in stock.

ddd [48]

The answer is <span>4 3/4 yards of the fabric.</span>

This can be calculated using the proportion.
If the 3 1/6 yards of the fabric is enough for <span>1 1/3 shirts, how many yards are necessary of 2 shirts:
</span> $3 \frac{1}{6} yards :1 \frac{1}{3}shirts =xyards:2shirts$

Let's express 3 1/6 as 19/6:
$3 \frac{1}{6} =3+ \frac{1}{6} = 3* \frac{6}{6}+ \frac{1}{6} = \frac{18}{6} + \frac{1}{6} = \frac{18+1}{6} = \frac{19}{6}$

Similarly, 1 1/3 = 4/3:
$1 \frac{1}{3} =1+ \frac{1}{3} = 1* \frac{3}{3}+ \frac{1}{3} = \frac{3}{3} + \frac{1}{3} = \frac{3+1}{3} = \frac{4}{3}$

Now, let's use this in the proportion:
<span> $3 \frac{1}{6} yards :1 \frac{1}{3}shirts =xyards:2shirts$
</span> $\frac{19}{6} : \frac{4}{3} = x:2$

Crossing the products:
$x* \frac{4}{3} =2* \frac{19}{6}$
⇒ $x* \frac{4}{3} = \frac{19}{3}$
⇒ $x = \frac{19}{3} : \frac{4}{3}$
$x= \frac{19}{3} * \frac{3}{4}$
⇒ $x = \frac{19}{4} = \frac{16+3}{4} = \frac{16}{4} + \frac{3}{4} =4+ \frac{3}{4} =4 \frac{3}{4}$

Therefore, Mary needs in total 4 3/4 yards of the fabric.

6 0

2 years ago

Read 2 more answers

What is the length of a diagonal of a cube with a side length of 8 inches?

sashaice [31]

Answer:

13.9 inches

Step-by-step explanation:

Let the length of diagonal of cube be d inches.

$\therefore \: d = length \: of \: side \sqrt{3} \\ \hspace{16 pt} = 8 \sqrt{3} \\ \hspace{16 pt} =8 \times 1.73205081 \\ \hspace{16 pt} = 13.8564065 \\ \huge \red{ \boxed{\therefore \: d = 13.9 \: inches }}\\$

8 0

2 years ago

Read 2 more answers