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Mathematics

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AnnZ [28]2 years ago

7 0

Make image more close pls.Then I will answer

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What is .0002 in scientific notation

Orlov [11]

Answer:

2×10−4

Step-by-step explanation:

To change 0.0002 to scientific notation, move the decimal to the right 4 places so that you get 2. The exponent on the base 10 will be -4 because the decimal was moved to the right 4 places

8 0

3 years ago

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Triangle FGH has the following side lengths: FG = 5 ft, GH = 10 ft, HF = 12 ft Triangle PQR is similar to triangle FGH. The long

7nadin3 [17]

The first thing we must do for this case is find the scale factor.
We have then that for the larger side of both triangle, the scale factor is:
$k = \frac{RP}{HF}$
$k = \frac{7.2}{12}$
$k = 0.6$
To find the other two sides, we must apply the scale factor on each side of the triangle FGH.
We have then:

For PQ
$PQ = k * FG

PQ = 0.6 * 5

PQ = 3$

For QR
$QR = k * GH

QR = 0.6 * 10

QR = 6$

Answer:
You have that the lengths for the other two sides of triangle PQR are:
$PQ = 3

QR = 6$

3 0

3 years ago

Amy has 2$, Jack has 3 times as much as Amy. Catherine has twice as much as Jack. How much does Catherine have?

worty [1.4K]

Catherine has 12.

2 times 3 is 6. 6 times 2 is 12. Final answer is 12.

4 0

3 years ago

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The quotient of 45 and 4 2/5? What is the expression for that ?

Andru [333]

Answer:

Expression: $45$ ÷ $4\frac{2}{5}$

Answer: 45 ÷ $4\frac{2}{5}$ = $\frac{225}{22}$

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2 years ago

Sin(a+b).cos(a-b) = sinacosa + sinbcosb

Rainbow [258]

Sin (A + B) = sin A cos B + cos A Sin B
Cos (A - B) = cos A cos B + sin A sin B 

=> (SinACosB+ CosASinB) (CosACosB +SinASinB) 

=>SinACosACos^2B+Sin^2ACosBSinB+Cos^2A... 

=>SinACosA(Cos^2B+Sin^2B) +SinBCosB(Sin^2A+Cos^2A) 
we know that Sin^2+Cos^2=1 
=>SinACosA(1)+SinBCosB(1) 
=SinACosA+SinBCosB 
Proved

4 0

3 years ago