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Mathematics

1 answer:

jonny [76]3 years ago

5 0

1. u must simplify 3^2 first because the order of operations states that u have to do exponents before subtraction.

2. 12 - 3^2 = 81......she subtracted the 3 first....12 - 3^2 = 9^2 = 81...which is an incorrect answer

3. u do not divide before simplifying 3^2.....order of operations states that u have to do exponents before division

4. no.....(12 - 3)^2 ......order of operations states that u do parenthesis before exponents...so (12 - 3)^2 = 9^2 = 81

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In triangle EFG, m of E = 30 degrees, m of F = 60 degrees, and m of G = 90 degrees. Which of the following statements about tria

Effectus [21]

Answer:

A. EG = √3 × FG

D. EG = √3/2 × EF

E. EF = 2 × FG

Step-by-step explanation:

∵ tan 60 = √3

∵ tan60 = EG/GF

∴ EG/GF = √3

∴ EG = √3 × GF ⇒ A

∵ m∠F = 60°

∵ sin60 = √3/2

∵ sin 60 = EG/EF

∴ √3/2 = EG/EF

∴ EG = √3/2 × EF ⇒ D

∵ cos60 = 1/2

∵ cos60 = GF/EF

∴ GF/EF = 1/2

∴ EF = 2 × GF ⇒ E

8 0

3 years ago

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What is the value of x?<br><br><br><br> Enter your answer in the box.

Grace [21]

The shapes are similar.
When two figures are similar, the ratios of the lengths of their corresponding sides are equal.
Therefore,
$\frac{42}{(15 + 42)} = \frac{x}{10 + x}$

Simplify:
$\frac{42}{57} = \frac{x}{10 + x}$
Cross multiply:
42(10+x) = 57x
420 + 42x = 57x
420 = 57x - 42x
420 = 15x
x = (420÷15)
x = 28