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prohojiy [21]
2 years ago
14

Matthew found a deposit with a diameter that is 102 times as long as Josef's. How many millimeters long is the diameter of Matth

ew's deposit? Write your answer in standard form and with number names
Mathematics
1 answer:
just olya [345]2 years ago
3 0

Answer:

See explanation

Step-by-step explanation:

Represent Mathew with M and Joe with J

The question has missing details as diameter found by Joe is missing.

However, we'll assume a value for this.

Let

J = 1440mm

This implies that

M = 102* J

Substitute 1440mm for J

So:

M = 102 * 1440mm

M = 14280mm

The question say the answer must be in standard form.

The form is written as:

a * 10^n

Where 1 ≤ a ≤ 9 and n is an integer

So,

M = 14280mm becomes

M = 1.4280 * 10⁴mm

M = 1.43 * 10⁴mm (approximated)

So, all you need to do is replace actual measurements of Joe's diameter with 1440m.

Other steps remain the same.

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Given cosx=12/13
TiliK225 [7]
1. You have the following information:

 Sinx=5/13

 Cosx=12/13

 2. By definiton, you have:

 Tanx=(Senx)/(Cosx)

 3. When you susbtitute Senx=5/13 and Cosx=12/13 into Tanx=(Senx)/(Cosx), you obtain:

 Tanx=(Senx)/(Cosx)
 Tanx=(5/13)/(12/13)
 Tanx=(5)(13)/(13)(12)
 Tanx=65/156

 4. Therefore, the answer is;

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7 0
3 years ago
Andre is preparing for the school play and needs to paint the cardboard castle backdrop that measures 14 1/4 feet by 6 feet.
Pani-rosa [81]

Answer:

1. 85.5

2. 3

Step-by-step explanation:

14.25*6=85.5

4 0
2 years ago
Read 2 more answers
The Bridal Shop bought a dress from a supplier for $105 wholesale and applied a 65% markup to the price. If a 7.5% sales tax wer
Novay_Z [31]

Answer:

The correct answer is 149.00.

Step-by-step explanation:

Part = Percent • Whole

Adding a 65% markup to the original price of 105 is simply multiplying the price by the decimal form of the markup, then adding that to the original price. Next, you would find 20% of your sum by multiplying the sum by 0.20. Then you would find 7.5% of <em>that</em> and add this to the price.

Solve:

105 • 0.65 = 68.25                      Find 65% of 105

105 + 68.25 = 173.25                  Add the markup to the price

173.25 • 0.20 = 34.65                 Find the discount of the new price

173.25 - 34.65 = 138.60              Subtract discount from price

138.60 • 0.075 = 10.395             Find sales tax of new price (Or round to 10.40)

<u>138.60 + 10.395 = </u><u>148.995</u><u>         Add sales tax to new price (Or </u><u>149</u><u>)</u>

Because money only goes to the hundredths place, we can either start rounding to that place in the second to last step - rounding 10.395 to 10.40 - or we can round our answer - 148.995 rounds to 149. Either way, we will still get an answer of $149.00.

Hope this helps.

♥<em>A.W.E.</em><u><em>S.W.A.N.</em></u>♥

3 0
3 years ago
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Find the difference quotient of the exponential function, f(x) = e^x
Orlov [11]

Answer:

Step-by-step explanation:

The difference quotient in general looks like

\frac{f(x+h)-f(x)}{h}   Sometimes the symbol "delta x"  \Delta x   is used instead of h.

For the exponential function, the difference quotient is

\frac{e^{x+h}-e^x}{h}

5 0
3 years ago
Help me please<br> How many solutions does the equation<br> x -4 = 12 - 2x have? Explain.<br> - ? .
MA_775_DIABLO [31]

Answer: <em>one solution.</em>

Step-by-step explanation:

\dfrac{2}{3} x-4=12-2x\\\\\dfrac{2}{3} x+2x=12+4\\\\2\dfrac{2}{3} x=16\\\\\dfrac{8}{3} x=16\\\\8x=16 \cdot 3\\\\8x=48\\\\x=\dfrac{48}{8} =6

<em>This equation has one solution:  x = 6.</em>

8 0
3 years ago
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