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Svet_ta [14]
3 years ago
13

3 3/5 + 9 3/5 answer with a mixed number in simplest form

Mathematics
1 answer:
Romashka [77]3 years ago
3 0

Both fractions have the same denominator so it's going to be easy. First set up your equation:

3 \frac{3}{5} + 9 \frac{3}{5}

Add the whole numbers:

3 + 9 = 12

Now add the fractions:

\frac{3}{5} + \frac{3}{5} = \frac{6}{5}

add both together:

12 + \frac{6}{5} = 12 \frac{6}{5}

\frac{6}{5} is an improper fraction so change it:

12 \frac{6}{5} = 13 \frac{1}{5}

Since 6 is one more than 5, add 1 to the whole number and subtract the numerator and denominator(6 - 5 = 1) and make the remaining the new numerator. That leaves you with 13 \frac{1}{5}

Your answer is 13 \frac{1}{5}

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What is the supplementary angle to an angle that has 112 degrees?
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Supplementary means they add up to 180°.
180-112= 68
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Prove the Pythagorean Theorem using similar triangles. The Pythagorean Theorem states that in a right triangle, the sum of the s
aivan3 [116]
For the answer to the question above asking to p<span>rove the Pythagorean Theorem using similar triangles. The Pythagorean Theorem states that in a right triangle, 
</span>A right triangle consists of two sides called the legs and one side called the hypotenuse (c²) . The hypotenuse (c²)<span> is the longest side and is opposite the right angle.

</span>⇒ α² + β² = c² 
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"</span>In any right triangle ( 90° angle) <span>, the sum of the squared lengths of the two legs is equal to the squared length of the hypotenuse."
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For example:  Find the length of the hypotenuse of a right triangle if the lengths of the other two sides are 3 inches and 4 inches.  
c2 = a2+ b2
c2  = 32+ 42
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c=5
8 0
3 years ago
What is the surface area of the composite figure
leva [86]

Answer:

The answer is 672.

Step-by-step explanation:

To solve this problem, first let's find the surface area of the rectangular prism. To do that, multiply each dimension with each (times 2 | just in case you don't understand [what I'm talking about is down below]).

8 x 8 x 2 = 128

8 x 11 x 2 = 176

8 x 11 x 2 = 176

Then, add of the products together to find the surface area of the rectangular prism.

176 + 176 + 128 = 480

Now, let's find the surface area of the square pyramid. Now, for this particular pyramid, let's deal with the triangles first, then the square. Like we did with the rectangular prism above, multiply each dimension with each other (but dividing the product by 2 | in case you don't understand [what i'm talking about is down below]).

8 x 8 = 64.

64 ÷ 2 = 32.

SInce there are 4 triangles, multiply the quotient by 4 to find the surface area of the total number of triangles (what i'm talking about is down below).

32 x 4 = 128.

Now, let's tackle the square. All you have to do is find the area of the square.

8 x 8 = 64.

To find the surface area of the total square pyramid, add both surface areas.

128 + 64 = 192.

Finally, add both surface areas of the two 3-D shapes to find the surface area of the composite figure.

192 + 480 = 672.

Therefore, 672 is the answer.

6 0
3 years ago
Given the diagram below what is the length of segment EF
frosja888 [35]

Answer:

C is the closest.,

Step-by-step explanation:

I am assuming that the 2 trapezoids CBEF and EFDA are similar (they are similar if the 3 horizontal lines are parallel).

Corresponding sides are in the same ratio , so:

3.4 / EF = EF / 7.6

EF^2 = 3.4 * 7.6 =  25.84

EF = 5.08

6 0
3 years ago
Read 2 more answers
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