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DIA [1.3K]
3 years ago
12

Andrea multiplied 6.75 x 10^6 and 0.2 x 10^6 and got 6.95 x 10^6. explain Andrea’s mistake and give the correct answer

Mathematics
1 answer:
Dvinal [7]3 years ago
4 0

Answer:

Correct answer = 1.35\times10^{12}

Step-by-step explanation:

Given:

Andrea multiplied 6.75 x 10^6 and 0.2 x 10^6 and got 6.95 x 10^6.

Question asked:

Explain Andrea’s mistake and give the correct answer.

Solution:

The above question is of <u>exponential question</u>:

Here Andrea simply <u>added </u>6.75 to 0.2 and got 6.95 and took 10^6 as common and written down wholly 6.95 x 10^6 which is incorrect.

Here we <u>multiply</u> 6.75 to 0.2 and get 1.35 and secondly to multiply 10^6 with  10^6 we have to understand the rule of exponents:-

<u>As we know:</u>

<u></u>a^{m}  \times a^{n}  =a^{m+n}

Similarly,\ 10^{6} \times  10^{6}=10^{6+6}=10^{12}

Hence when we multiplied 6.75 x 10^6 and 0.2 x 10^6 originally we got 1.35\times10^{12}

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Answer:

The height of the lighthouse is 742.5\ ft

Step-by-step explanation:

Let

h -----> the height of the lighthouse

we know that

The tangent of angle of 68 degrees is equal to divide the height of the lighthouse by the horizontal distance from the buoy to the base of lighthouse

so

tan(68\°)=\frac{h}{300}

Solve for h

h=(300)tan(68\°)=742.5\ ft

7 0
3 years ago
Find the value of x.<br> X=____
musickatia [10]
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3 years ago
Does the set of numbers form a Pythagorean triple? Explain.
Natali [406]

Answer:

NO

Step-by-step explanation:

Either 3, 5 and 6 satisfy the Pythagorean Theorem or they do not.  Here we start with a^2 + b^2 = c^2 and substitute 6 for c (because 6 is the largest of the set):  Is 3^2 + 5^2 = 6^2?  9 + 25 = 36?  NO

7 0
3 years ago
henry is mixing concrete. to make concrete he needs to mix cement, sand and gravel in the ratio 5 : 4 : 1 by weight. henry needs
MaRussiya [10]

Answer:

cement by 5 Kg

Step-by-step explanation:

add the parts of the ratio, 5 + 4 + 1 = 10 parts

Divide the quantity of concrete by 10 to find the value of one part of the ratio.

110Kg ÷ 10 = 11Kg ← value of 1 part of ratio , thus

5 parts = 5 × 11Kg = 55Kg ← cement required

4 parts = 4 × 11Kg = 44Kg  ← sand required

1 part = 11Kg ← gravel required

He requires 55Kg of concrete but only has 50Kg.

He requires 44Kg of sand and has 55Kg

He requires 11Kg of gravel and has 15Kg

Thus he is 5Kg short of cement.

7 0
3 years ago
NEED HELP! WILL GIVE 40 PTS!!!!
ioda

Answer:

36 inches

Step-by-step explanation:

Let's draw a parallelogram real quick:

              W        _____________________   X

                      /                                            /

             Y    /____________________/    Z

So, we know that WY and ZX are the short sides and that they both equal 12. We also  know that YZ and WX are the long sides and are 3x longer.

12*3 is 36 inches.

8 0
4 years ago
Read 2 more answers
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