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3 years ago

Distributive property of the product of 127 and 32

1 answer:

7 0

127(32) could be re-written as (130-3)(30+2). To evaluate this, we'd use the distributive property of multiplication: 130(30) + 130(2) - 3(30) -3(2).

That comes out to 3900 + 260 - 90 - 6. Combine the positive terms. Then combine the negative terms. Last, combine the single positive term with the single negative one: 4160 - 96 = ?

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The price of a ticket to attend a show is $28.50. In addition to the ticket price, Laurence had to pay a service fee of 10% and

Mamont248 [21]

Answer:

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Step-by-step explanation:

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3 years ago

ANSWER ASAP!! Find the area of a triangle with legs that are: 12 m, 15 m, and 9 m.

Setler79 [48]

Answer:

Step-by-step explanation:

<h3>METHOD 1:</h3>

You can use the Heron's formula:

$A=\sqrt{p(p-a)(p-b)(p-c)}$

where

<em>p</em><em> - half of perimeter</em>

<em>a, b, c</em><em> - lengths of sides</em>

We have

$a=12m;\ b=15m;\ c=9m$

Calculate:

$p=\dfrac{12+15+9}{2}=\dfrac{36}{2}=18\ (m)\\\\A=\sqrt{18(18-12)+(18-15)(18-9)}\\\\A=\sqrt{(18)(6)(3)(9)}\\\\A=\sqrt{2916}\\\\A=54\ (m^2)$

<h3>METHOD 2:</h3>

Let's check that it is not a right triangle.

If the sum of the squares of the two shorter sides is equal to the square of the longest side, then this triangle is rectangular.

We have

$9m < 12m$

Check:

$9^2+12^2=81+144=225\\15^2=225$

This is a right trianglr wherew 9m and 12m are legs and 15m is a hypotenuse.

The formula of an area of a right triangle is:

$A=\dfrac{ab}{2}$

Substitute:

$A=\dfrac{(9)(12)}{2}=\dfrac{108}{2}=54\ (m^2)$

6 0

3 years ago

How to calculate intrest

Goryan [66]

Answer:

You can calculate Interest on your loans and investments by using the following formula for calculating simple interest: Simple Interest= P x R x T ÷ 100, where P = Principal, R = Rate of Interest and T = Time Period of the Loan/Deposit in years.

Formula: Simple Interest=P×r×t where: P=Principal amount; r=Annual interest rate; t=...

Principal Amount: Principal Amount remains constant on Simple Interest

Meaning: Simple Interest is calculated on the Principal Amount for the entire tenure

Calculation: It is easy to calculate Simple Interest

8 0

2 years ago

Read 2 more answers

18. Let z = a + bi represent a general complex number. As noted in the lesson, the conjugate of z, abbreviated conj(z) or conj(a

AnnyKZ [126]

Question (18):

Answer: (A) All of the following

(I am using $z^*$ in place of conj(z)