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Nonamiya [84]
3 years ago
5

If the area of the parallelogram is 15 cm 2, what is the area of the green triangle?

Mathematics
2 answers:
Ilia_Sergeevich [38]3 years ago
7 0
I think it would be 7.5!
the picture doesn't have a lot of info but to the looks of it the parallelogram is split into two equal triangles so if the parallelogram is 15 and you divide that by two since there are two triangles that look like the same it would be 7.5!
n200080 [17]3 years ago
4 0
The triangle is half of the parallelogram, so that would be 7.5 cm 2
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3
Marianna [84]

The expression into a single logarithm is log[(x)^{10}][(2)^{30}]

Step-by-step explanation:

Let us revise some logarithmic rules

  • log(a)^{n}=nlog(a)
  • log(ab)=log(a)+log(b)
  • nlog(a)+mlog(b)=log[(a)^{n}][(b)^{m}]

∵ 10 log(x) + 5 log(64)

- At first re-write 10 log(x)

∴  10 log(x) = log(x)^{10}

- Then re-write 5 log(64)

∴  5 log(64) = log(64)^{5}

∴ 10 log(x) + 5 log(64) = log(x)^{10} + log(64)^{5}

- Use the 3rd rule above to make it single logarithm

∵ log(x)^{10} + log(64)^{5} = log[(x)^{10}][(64)^{5}]

∴ 10 log(x) + 5 log(64) = log[(x)^{10}][(64)^{5}]

∵ 64 = 2 × 2 × 2 × 2 × 2 × 2

∴ We can write 64 as 2^{6}

∴ (64)^{5}=(2^{6})^{5}

- Multiply the two powers of 2

∴ (64)^{5}=(2)^{30}

∴ 10 log(x) + 5 log(64) = log[(x)^{10}][(2)^{30}]

The expression into a single logarithm is log[(x)^{10}][(2)^{30}]

Learn more:

You can learn more about the logarithmic functions in brainly.com/question/11921476

#LearnwithBrainly

6 0
3 years ago
Please answer the question that is in the photo attached below
rewona [7]

Answer:

\huge\boxed{b=\sqrt{7}}

Step-by-step explanation:

In order to solve for this equation we have to note a couple of things.

There is a diagonal square inside a larger square. The space formed by the smaller square not being in the larger square is a right triangle.

The side length of the smaller square (4) is also the hypotenuse of this triangle.

Since we know that the other side length of the triangle is 3, we can use the Pythagorean Theorem to find the value of b.

The Pythagorean Theorem states that a^2 + b^2 = c^2, where a and b are the legs and c is the hypotenuse.

We can substitute 3 in as a and 4 in as c and find b.

3^2 + b^2 = 4^2

9+b^2=16

b^2=7

b = \sqrt{7}

So b is \sqrt{7} units long.

Hope this helped!

4 0
3 years ago
Read 2 more answers
Find the slope of the line y = 5/8x - 1/2
VashaNatasha [74]

Answer:

slope = \frac{5}{8}

Step-by-step explanation:

Slope-intercept form is the way in which an equation is written to easily identify the line's slope and y-intercept. It is represented by the equation y = mx + b, in which m represents the slope.

By looking at the equation, we can see that it takes the y = mx + b format - y is isolated - therefore it is in slope-intercept form. Remember that the number in place of the m would represent the slope - and in this case, that number is \frac{5}{8}.

6 0
3 years ago
Committee of 7 students is to be formed from 10 ee students, 12 cs students and 8 math students. it is required that at least tw
gtnhenbr [62]
First, You Do 10 and 12 in the parentheses, then subtract 8 and multiply 7.  Then This Equals 146. Hope this helps :)

5 0
3 years ago
Describe lengths of three segments that could not be used to form a triangle
Tanya [424]
I don't understand, but, two form a triangle your two SHORTEST sides have to equal LARGER than your LONGEST side. Example: 2,3,4 
The two shortest sides are 2 and 3. 2+3=5 Is the sum greater than the largest side,4,? Yes, therefore it makes a triangle.
8 0
3 years ago
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