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1 year ago

Which of the following choices will simplify 7-5(3)^2

Mathematics

1 answer:

Flauer [41]1 year ago

3 0

The simplified form the expression (7 - 5(3)²) is -38.

<h3>What is the simplified form of the given expression?</h3>

Simplification is the process involved in replacing a mathematical expression by an equivalent one which is that is usually simpler and shorter.

For example;

a + b + 2a + 2b = 3a + 3b.

Given the expression in the question;

7 - 5(3)²

Simply each term, raise 3 to the power of 2

7 - 5(3)²

7 - 5(9)

Multiply -5 and 9

7 - 5(9)

7 - 45

Subtract 45 from 7

-38

Therefore, the simplified form the expression (7 - 5(3)²) is -38.

Learn more algebra problems here: brainly.com/question/723406

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Triangle ABC has a right angle at C. Select all measurements which would mean it has a hypotenuse with a length of 10 units. a.

Delvig [45]

Option d: Angle A is 30 degrees, BC is 5 units

Option e: AC is 8 units, BC is 6 units

Explanation:

The triangle ABC has a right angle at C.

The length of the hypotenuse is 10 units.

The image of the triangle with this measurement is attached below:

Option a: Angle A is 20 degrees, BC is 2 units

$\begin{aligned}\sin 20 &=\frac{2}{h y p} \\h y p &=\frac{2}{\sin 20} \\&=5.8476\end{aligned}$

Since, hypotenuse is 10 units, Option a is not correct answer.

Option b: AC is 7 units, BC is 3 units

$\begin{aligned}A B &=\sqrt{7^{2}+3^{2}} \\&=\sqrt{49+9} \\&=\sqrt{58}\end{aligned}$

Since, hypotenuse is 10 units, Option b is not correct answer.

Option c: Angle B is 50 degrees, BC is 4 units

$\begin{aligned}\cos 50 &=\frac{4}{h y p} \\h y p &=\frac{4}{\cos 50} \\&=6.222\end{aligned}$

Since, hypotenuse is 10 units, Option c is not correct answer.

Option d: Angle A is 30 degrees, BC is 5 units

$\begin{aligned}\sin 30 &=\frac{5}{h y p} \\h y p &=\frac{5}{\sin 30} \\&=10\end{aligned}$

Since, hypotenuse is 10 units, Option d is the correct answer.

Option e: AC is 8 units, BC is 6 units

$\begin{aligned}A B &=\sqrt{8^{2}+6^{2}} \\&=\sqrt{64+36} \\&=\sqrt{100} \\&=10\end{aligned}$

Since, hypotenuse is 10 units, Option e is the correct answer.

Thus, Option d and e are the correct answers.

3 0

3 years ago

A manufacturer of batteries knows that 10% of the batteries produced by a particular production line are defective. A sample of

defon

I think you need only an answer without expanation so let's start.
a) $P = \frac{200!}{180!x20!} * 0,1^{20}*0,9^{180} = 0.093636$
b) $Probability = 0.5 + \frac{1}{2} (0.093636) = 0.54682$

5 0

4 years ago

Is 7x + 1 equivalent to 1 + 7x

mr_godi [17]

Answer:

Yes

Step-by-step explanation:

4 0

3 years ago

I need help!!! Pleasssse!!!!

Zinaida [17]

Given the ratio, you know that:
length = 6x
width = 2x
height = 7x

Because the sum of the length and the width is 24 cm, you can write the equation:
6x + 2x = 24
Solve:
8x = 24
x = 3

Plug the 3 back into the expressions written earlier for length, width, and height.
length = 18 cm
width = 6 cm
height = 21 cm

Use the formula SA = 2B + Ph to solve for the surface area.
Surface Area = 2(area of the base) + (perimeter of the base)(height)

I'm going to plug in l, w, and h as variables for length, width, and height to show the exact way to solve for the B and P.
SA = 2lw + 2(l + w)h
SA = 2(18)(6) + 2(18 + 6)(21)
SA = 216 + 2(24)(21)
SA = 216 + 1008
SA = 1224

The surface area is 1,224 cm^2.

7 0

3 years ago

Can anybody explain the laws of exponents to me?<br> I have a test on Monday, so it's important!

Darya [45]

Hi there!

With exponents, there are a few things to keep in mind:

1. Do <u>not </u>multiply the base by the exponent (the base is the number that has an exponent; for example, 3 is the base of 3^2)

2. On the computer, exponents are signaled by this sign ^.

3. The exponent is the number of times you multiply the base by itself

Let's say you're given this exponent : 6^3

Because the exponent is 3, we need to multiply 6 by 6 a total of 3 times. It's tricky, but here's how you do it:

(6 * 6) * 6

36 * 6 = 216

So, 6^3 is 216

Here's another example:

9^5

(9*9) * 9* 9* 9

[81 * 9]*9 *9

[729 * 9] * 9

6561 * 9

59049

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3 years ago