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bagirrra123 [75]
3 years ago
11

A box containing 4 identical books weighs 5kg. if the weight of the box is 600g, what is the weight of each book? answer key

Mathematics
1 answer:
Gemiola [76]3 years ago
7 0
5kg=5000g
5000g-600g=4400g
4400g/4=1100g

So your answer is 1,100 grams.
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Draw the triangle that is the image of the given triangle after dilation with center ​(0​,0​) and a scale factor of 1/4 (one fou
solong [7]

Hey there!

Your answer is C.

If you take the lengths of the legs of the triangle, which are 12 and 4, we can multiply them by the scale factor to see what the legs of our new triangle is.

12 x 1/4 = 3

4 x 1/4 = 1

So, the legs of our new triangle have lengths of 1 and 3.

We can see that option C has the correct triangle in red.

If we're looking at the ratio of rise to run of each triangle, it is 1/3 for both the large triangle and the small triangle.

The rise for the larger triangle is 4, and the run is 12. That is 4/12, which can be simplified to 1/3.

The rise for the smaller triangle is 1, and the run is 3. That is 1/3, which is all the way simplified already.

These triangles are similar because the first one was dilated to get the second one, which explains why the ratios are the same.

Hope this helps!  

6 0
3 years ago
Please help and thank you
tatiyna

Answer:

b_{1}=\frac{2A}{h}-b_{2}

Step-by-step explanation:

Given: A=\frac{1}{2}(b_{1} +b_{2})h

We need to completely isolate b_{1} to solve.

A=\frac{1}{2}(b_{1} +b_{2})h

A=(\frac{1}{2}b_{1} +\frac{1}{2} b_{2})h

A=\frac{1}{2}b_{1} h+\frac{1}{2}b_{2}h

-\frac{1}{2}b_{1}h+A=\frac{1}{2}b_{2}h

-\frac{1}{2}b_{1}h=-A+\frac{1}{2}b_{2}h

-\frac{1}{2}b_{1}=\frac{-A}{h}+\frac{1}{2}b_{2}

Finally, multiply both sides by -2 to completely isolate b_{1}.

b_{1}=\frac{2A}{h}-b_{2}

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