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3 years ago

Using partial quotients, which would be the best choice for the first number to subtract in the division problem 5,166 42?

Mathematics

1 answer:

MArishka [77]3 years ago

7 0

your answer is A..It would be the best choice

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Choose the correct operation and power of ten that would be used to convert 8 centiliters to liters.

IgorC [24]

Answer:

Centiliters, Liters. 1 cl, 0.01 L. 100 cl, 1 L. 200 cl, 2 L. 300 cl, 3 L. 400 cl, 4 L. 500 cl, 5 L. 600 cl, 6 L. 700 cl, 7 L. 800 cl, 8 L. 900 cl, 9 L. 1000 cl, 10 L. 1100 cl, 11 L.

4 0

3 years ago

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SOLVE. 3 sin x + 5 cos x = 0

Anestetic [448]

3 sin x + 5 cos x = 0
3 sin x = - 5 cos x /: cos x ( divide both sides by cos x )
3 sin x / cos x = - 5
3 tan x = - 5
tan x = -5/3
x = arc tan (-5/3)
x ≈ - 59.036°

3 0

3 years ago

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The numbers of calories per serving for various snakes foods are listed below.

Elanso [62]

Answer:

B. 108 calories

Step-by-step explanation:

The mean number of a data set is

$\text{Mean}=\dfrac{\text{The sum of all calories in products}}{\text{The number of products}}$

Corn chips: 230 calories

Popcorn: 25 calories

Potato chips: 115 calories

Pretzels: 62 calories

Thus,

The sum of all calories $=230+25+115+62=432$

The number of productrs = 4

The mean number of calories $=\dfrac{432}{4}=108$

3 0

4 years ago

Type your answer into the box.<br> Insert > or < into the following:<br> £107,714<br> £107,674

Ilya [14]

Answer:

£107,714 > £107,674

Step-by-step explanation:

Given

£107,714 and £107,674

Required

Determine the relationship between them using > or <

From the given parameters, we understand that

£107,714 is greater than £107,674

The keyword greater than is represented mathematically with >

Hence:

£107,714 is greater than £107,674

becomes

£107,714 > £107,674

8 0

3 years ago

The shorter sides of an acute triangle are x cm and 2x cm. The longest side of the triangle is 15 cm. What is the smallest possi

Veronika [31]

The longest side in the triangle is opposite to the largest angle of this triangle. If triangle is acute, then all angles are acute. Acute angle has cosine that is positive.

Use cosine theorem to determine the cosine of the largest angle:

$15^2=x^2+(2x)^2-2\cdot x\cdot 2x\cdot \cos \alpha,$ where $\alpha$ is the largest angle.

Then

$225=x^2+4x^2-4x^2\cos \alpha,\\ \\\cos \alpha=\dfrac{225-5x^2}{-4x^2}=\dfrac{5x^2-225}{4x^2}.$

Since $\cos \alpha>0,$ then

$\dfrac{5x^2-225}{4x^2}>0\Rightarrow 5x^2-225>0.$

Divide this inequality by 5:

$x^2-45>0,\\ \\(x-3\sqrt{5})(x+3\sqrt{5})>0,\\ \\x\in (-\infty,-3\sqrt{5})\cup (3\sqrt{5},\infty).$

Note that $3\sqrt{5}\approx 6.71,$ then the smallest possible whole-number value of x is 7.

Answer: correct choice is B

6 0

3 years ago

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