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3 years ago

Find all numbers whose absolute value is 4.

1 answer:

6 0

Among real numbers, there are two whose absolute value is 4.
|-4| = 4
|4| = 4

The numbers whose absolute value is 4 are ...
-4, 4

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If < D is a right angle and < E is a right angle, and you said that < D is congruent to < E, the reason would be ___

SVEN [57.7K]

Answer:

(B)All right angles are congruent

Step-by-step explanation:

Given that:

$\angle D$ is a right angle, and\\\angle E$ is a right angle\\\\\angle D=90^\circ\\\angle E=90^\circ\\$Therefore: \angle D \cong \angle E$

The reason for this congruency is that both are right angles and in fact, all right angles are congruent.

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3 years ago

Rami wrote this pattern by following the rule subtract 3.

Oksanka [162]

Answer:

1 and 2

Step-by-step explanation:

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3 years ago

Evaluate the expression using the distributive property 8(7+7)

MrRissso [65]

Answer: 112

Step-by-step explanation:

Following PEMDAS, we need to add the numbers in the parenthesis first

8(7+7) becomes 8(14)

Now we just multiply 8 and 14

8(14) = 112

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3 years ago

Read 2 more answers

The amount of money in an account may increase due to rising stock prices and decrease due to falling stock prices. Marco is stu

Mashcka [7]

The account that recorded a greater percentage change in amount of money over the previous year is year 4

<h3>Part A: Is the amount of money in account A increasing or decreasing?</h3>

The exponential function is given as:

f(x) = 9628 * (0.92)^x

An exponential function is represented as:

f(x) = ab^x

If b is less than 0, then the function is an increasing function.

So, the function f(x) = 9628 * (0.92)^x is a decreasing function.

The percentage of decrement is then calculated as:

r =1 - b

This gives

r = 1 - 0.92

Evaluate

r = 0.08

Express as percentage

r = 8%

Hence, the percentage of decrement is 8%

<h3>Part B: The account that recorded a greater percentage change in amount of money over the previous year</h3>

r 1 2 3 4

g(r) 8,972 8,074.80 7,267.32 6,540.59

As a general rule:

As the number of years increases, the percentage change increases

Hence, the account that recorded a greater percentage change in amount of money over the previous year is year 4

Read more about exponential functions at:

brainly.com/question/2456547

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2 years ago

A laser travels from glass to water at an angle of 35° with the normal, Θ1. If water has an index of refraction of 1.33 and glas

umka2103 [35]

When light moves from one medium to another, it is refracted. If it moves from a medium with refractive index n1 to one with refractive index n2, with an incidence angle to the surface normal of θ1, the refraction angle θ2 can be calculated from Snell's law.

The Snell's law states that the ratio of the sines of the angles of incidence and refraction of a wave (in this case beam/light) are constant when it passes between two given media.

$n_1\sin\theta_1=n_2\sin\theta_2$

Given that a <span>laser travels from glass to water at an angle of 35° with the normal, </span> $\theta_1$ <span>. If water has an index of refraction of 1.33 and glass has an index of refraction of 1.52, then we have:

</span> $1.52\sin35^o=1.33\sin\theta_2 \\ \\ \Rightarrow\sin\theta_2= \frac{1.52\sin35^o}{1.33} =0.6555\therefore\theta_2=\sin^{-1}0.6555\approx41^o$ <span>
</span>

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3 years ago