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2 years ago

What is the first step to simplify the expression 64^42-[2(4-6)2]?

Mathematics

1 answer:

Marat540 [252]2 years ago

3 0

Simplify what's in brackets first, then move to what's in the parenthesis

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Can someone help me on this question?

notsponge [240]

Answer:

x = 19.6

Step-by-step explanation:

By applying cosine rule in ΔBCD,

cos(30)° = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

= $\frac{BC}{BD}$

$\frac{\sqrt{3}}{2}=\frac{BC}{16}$

BC = $8\sqrt{3}$

Now, by applying sine rule in ΔBAC,

sin(45)° = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

$\frac{1}{\sqrt{2}}=\frac{AB}{BC}$

$\frac{1}{\sqrt{2}}=\frac{x}{8\sqrt{3}}$

x = $8\sqrt{6}$

x = 19.59

x ≈ 19.6

3 0

3 years ago

Which relationship is always true for the angles x,y and z of triangle ABC

bixtya [17]

Answer:

B. y + z = x

Step-by-step explanation:

x is an exterior angle of the triangle.

y and z are the opposite angles opposite the exterior angle.

The exterior angle theorem of a triangle states that the measure of an exterior angle equals the measure of the sum of the two angles opposite the exterior angle.

Thus:

y + z = x

7 0

3 years ago

Select the correct answer.

Nat2105 [25]

Answer:

Step-by-step explanation:

Both distances are in the scientific notation:

Earth - Sun = 9.3 * 10^7 miles

Saturn - Sun = 8.87 * 10^8 miles

8.87 * 10^8 - 9.3 * 10^7 =

= 88.7 *10^7 - 9.3 * 10^7 =

= 79.4 * 10^7 = 7.94 * 10 ^8 = 794,000,000 miles

Answer: Saturn is 7.94 * 10^8 miles farther from Sun than Earth is.

6 0

2 years ago

1 point

weeeeeb [17]

Answer:

The answer is 0.71 per ounce.

Step-by-step explanation:

You can use proportions to solve this.

$\frac{89.95 dollars}{64lb} = \frac{1 dollar}{x} \\64 * 1 = 64\\89.95 * x = 89.95x\\\\\frac{64}{89.95} = \frac{89.95x}{89.95}\\\\0.7115063924 = x\\Which when rounded to the nearest hundredths is:\\0.71$