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Leni [432]
3 years ago
7

Find the response for the complex operation (4-8i)+(-9+5i)

Mathematics
1 answer:
melisa1 [442]3 years ago
4 0

Answer:

-5 - 3 i

Step-by-step explanation:

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the area of the triangle below is 1/4 square meters. what is the length of the base. express your answer in simplest form
Alexeev081 [22]

Answer:

4/5

Step-by-step explanation:

<u>Given</u>,

Area of the triangle = 1/4 square meters

From the diagram,

Height = 2/5 m

<u>To find</u> : Length of the base

<u>Formula</u> : -

A = bh/2

Here,

A denotes Area

b denotes Base

h denotes Height

A = 1/4

h = 2/5

A = bh/2

Cross multiply,

A * 2 = bh

2A = bh

2 * (1/4) = b * (2/5)

(1 * 2)/4 = (b * 2)/5

2/4 = 2b/5

1/2 = 2b/5

Cross multiply,

1 * 5 = 2 * 2b

5 = 4b

b = 4/5 meters

Hence,

The length of the base is 4/5 meters.

5 0
2 years ago
Q: A cell phone company charges $60.00 a month for up to 1 gigabyte of data. The cost of additional data is $0.05 per megabyte.
DiKsa [7]

The linear equation which can be used to determine a user's monthly

bill is c = 60 + 0.05 d ⇒ D

Step-by-step explanation:

The given is:

  • A cell phone company charges $60.00 a month for up to 1 gigabyte of data
  • The cost of additional data is $0.05 per megabyte
  • d represents the number of additional megabytes used
  • c represents the total charges at the end of the month

We need to find which equation can be used to determine a user's monthly bill

The form of the linear equation is y = mx + b, where b is the constant amount and m is the rate of change

∵ The company charges $60.00 a month for up to 1 gigabyte of data

- That means it is a constant amount each month

∴ b = 60

∵ The cost of additional data is $0.05 per megabyte

- That means it depends on the number of additional megabyte,

   so it is not constant, it is the rate of change

∴ m = 0.05

∵ d represents the number of additional megabytes

∴ x = d

∵ c represents the total charges at the end of the month

∴ y = c

Substitute y by c, m by 0.05, x by d and b by 60 in the form of the linear equation above

∴ c = 0.05 d + 60

- We can rearrange the terms of the right hand side

∴ c = 60 + 0.05 d

The linear equation which can be used to determine a user's monthly

bill is c = 60 + 0.05 d

Learn more:

You can learn more about linear function in brainly.com/question/9801816

#LearnwithBrainly

7 0
3 years ago
Find the value of x by factoring x^2-9x-36=0
Citrus2011 [14]
(x+12)(x-3) Try this answer hopefully it is correct.
8 0
2 years ago
5 plus 5 equals 10 ......................................
Maru [420]

Answer:

yes 5+5=10 any problem

6 0
2 years ago
Read 2 more answers
In ΔNOP, the measure of ∠P=90°, the measure of ∠O=17°, and OP = 8.6 feet. Find the length of PN to the nearest tenth of a foot.
SVEN [57.7K]

The length of PN is 2.63 feet

<u>Explanation:</u>

<u />

Given:

∠P=90°,

∠O=17°,

OP = 8.6 feet

PN = ?

The given triangle is a right angle triangle as one angle is 90°

We know:

tan \alpha = \frac{perpendicular}{base}

tan(17^o) = \frac{PN}{OP} \\\\0.3057 = \frac{PN}{8.6} \\\\PN = 0.3057 X 8.6 feet\\\\PN = 2.63 feet

Therefore, the length of PN is 2.63 feet

7 0
3 years ago
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