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3 years ago

Please help!! Select all the triangles that have an area of 8 square units in the picture. Explain how you know please?

Mathematics

1 answer:

Soloha48 [4]3 years ago

5 0

Answer: A,B,D,E

Step-by-step explanation: All of them either have a base and height of 4, or if its E, it is 8 by2. The formula for solving a triangle is base x height divided by 2. In this case, the two sides have to equal 16, as the area is 16/2, or 8

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How much would $500 invested at 8% interest compounded continuously be worth after 3 years? round your answer to the nearest cen

erik [133]

To solve this, you'll need the interest formula: P(1 + rt).

Then, plug in the numbers:
$500(1.08*3) = $1,620. That's your answer.

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3 years ago

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Sum of 1+3+5+7+...+997

PilotLPTM [1.2K]

1 + 3 + 5 + 7 + ... + 997

1, 3, 7, ... , 997 are terms of an arithmetic sequence

$a_1=1;\ a_2=3;\ ...;\ a_n=997\\\\d=a_2-a_1\to d=3-1=2\\\\a_n=a_1+(n-1)d\\\\subtitute\\\\997=1+(n-1)\cdot2\\977=1+2n-2\\977=2n-1\ \ \ \ |add\ 1\ to\ both\ sides\\2n=998\ \ \ \ |divide\ both\ sides\ by\ 2\\n=499\\\\S_n=\dfrac{a_1+a_n}{2}\cdot n\\\\subtitute:\ a_1=1;\ a_n=997;\ n=499\\\\S_{499}=\dfrac{1+997}{2}\cdot499=\dfrac{998}{2}\cdot499=499\cdot499=249,001$

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3 years ago

Ken buys some fruit.

Kitty [74]

Answer:

6 oranges

Step-by-step explanation:

4x125g= 500g

2x170g= 340g

3x135g= 405g

500+340+405= 1,245g

1.785kg= xg

1.785x1,000= 1,785g

1,785-1,245g= 540g

each orange weighs 90g

540/90= 6

Ken buys 6 oranges.

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3 years ago

If 8x = 48, then x = ___. (Only input whole number) Numerical Answers Expected!

sveticcg [70]

It equals 6.
8 * 6 = 48
48 / 6 = 8
x=6

Hope this helps! (＾▽＾)

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3 years ago

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Which theorem can be used to prove that the triangles in the figure below are congruent?

Minchanka [31]

Answer:

There are 5 theorem to prove the triangles are congruent. They are:

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3 years ago