8,000 - 5,347= I need it step by step

Mathematics

1 answer:

Dominik [7]3 years ago

6 0

Answer:

2,653

Step-by-step explanation:

What you need to do,

You already have the layout, so that's a check.

So, subtract 7 from 0. What do you get? You get -7. Therefore, you need to add a 1 before the 0. 7-10=3. Continue doing that until you get your answer!

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If a is real and the product of (a+6i)(5-3i) is a real number, the find a.

irina [24]

Answer:

5a−3ai+30i+18

Step-by-step explanation:

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3 0

2 years ago

vera has two loans total 9000$. One loan is at 5%simple interest and the other one is at 6% interest at the end of the year vera

Bingel [31]

Eg. the first loan is x, the second loan will be (9,000 - x)

First, we need to make an equation based on the problem
first interest + second interest = 492
5% of x + 6% of (9,000 - x) = 492
<em>This is the equation</em>

Second, solve the equation and find out the value of x (first loan)
0.05x + 0.06(9.000 - x) = 492
0.05x + 540 - 0.06x = 492
-0.01x + 540 = 492
-0.01x = 492 - 540
-0.01x = -48
x = -48/-0.01
x = 4,800

Third, find the second loan
9,000 - x
= 9,000 - 4,800
= 4,200

SUMMARY
The first loan that has interest of 5% is $4,800
The second loan that has interest of 6% is $4,200

6 0

3 years ago

Bananas cost $2 a bunch and apples cost $0.75 each. If “b” represents the number of bunches of bananas and “a” represents the nu

dangina [55]

Answer: 2b + 0.75a

Step-by-step explanation:

6 0

3 years ago

How do I solve a given right triangle to find Cos, Sin, and Tan. How do I solve for a missing adjacent side? (For Example: Imagi

Sphinxa [80]

The steps to find cos, sin, and tan and missing adjacent side of a given right angle triangle is explained.

<u>Solution:</u>

Given, a right triangle with A, B, and C.

Opposite side = 70 inches

Hypotenuse = 12 feet = 12 $\times$ 12 inches = 144 inches

Adjacent side = "x" inches.

We are not given angle, so we have to use the hypotenuse theorem

Hypotenuse theorem means square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

$\text { hypotenuse }^{2}=(\text { opposite side })^{2}+(\text { adjacent side })^{2}$

Substituting the values we get,

$\begin{array}{l}{\rightarrow 144^{2}=70^{2}+x^{2}} \\\\ {\rightarrow x^{2}=20736-4900} \\\\ {\rightarrow x^{2}=15836} \\\\ {\rightarrow x=\sqrt{15836}} \\\\ {\rightarrow x=125.841}\end{array}$

So, the adjacent side value is 125.8 inches approximately.

Hence the steps to find adjacent side is shown above

Now let us find cos, sin and tan

$\begin{aligned} \sin \theta &=\frac{\text {opposite side}}{\text {hypotenuse}} \\\\ \cos \theta &=\frac{\text {adjacent side}}{\text {hypotenuse}} \\\\ \tan \theta &=\frac{\text {opposite side}}{\text {adjacent side}} \end{aligned}$

By substituting the required values, we can find cos, sin and tan

$\begin{array}{l}{\sin \theta=\frac{70}{144}=\frac{35}{122}} \\\\ {\cos \theta=\frac{125.8}{144}=\frac{62.9}{122}} \\\\ {\tan \theta=\frac{70}{125.8}=\frac{35}{62.9}}\end{array}$