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2 years ago

Find the product (3a2 - 3b) (2a2 - b)

Mathematics

1 answer:

Natasha2012 [34]2 years ago

4 0

(3a^2 - 3b)(2a^2 - b)

3a^2(2a^2 - b) - 3b(2a^2 - b) =
6a^4 - 3a^2b - 6a^2b + 3b^2 =
6a^4 -9a^2b + 3b^2 <===

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A guy wire is used to support flagpoles in windy areas. These wires are anchored in the ground to provide constant stability. Yo

r-ruslan [8.4K]

Answer: a) Length of wire to replace old one=9ft

b) Length of wire=3.09ft

Leftover wire=0.91ft

Step-by-step explanation: from the right angle triangle, Tan&=20/15

&=53.13°

Length of wire,x=cos 31.13=x/15

15cos31.13

X=9

b) Tan&=10/6

Tan^-110/6

&=59.05

Length= 6cos59.04

X=3.09

4-3.09=.91= leftover wire

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2 years ago

ANSWERRRRR PLEASE!! ~~

olganol [36]

Answer:

.33 liters of water and 3 liters of flour

Step-by-step explanation:

Well you can see how 1 liter of water is 3 liters of flour since there's a point on the graph, and you can find the liters of flour by just doing 1/3

8 0

2 years ago

Read 2 more answers

I need help , if yk the answer help fr!!!

Feliz [49]

Answer:

The measure of the angle JKG is:

m∠JKG = 56°

Step-by-step explanation:

<u>Given</u>

m∠JKG = 76-2x

m∠FHK = 6x-4

J is a midpoint of the segment FG and K is a midpoint of the segment GH.

<u>To determine</u>

m∠JKG = ?

Given that J is a midpoint of the segment FG and K is a midpoint of the segment GH. Thus, making two similar triangles, ΔJGK and ΔFGH

We know that two triangles are similar if the only difference is size. So, the angles remain the same.

so m∠JKG and m∠FHK are equal.

i.e.

m∠JKG = m∠FHK

substitute m∠JKG = 76-2x and m∠FHK = 6x-4

76-2x = 6x-4

6x+2x = 76 + 4

8x = 80

divide both sides by 8

8x/8 = 80/8

x = 10

Therefore, the value of x = 10

m∠JKG = 76-2x

substitute x = 10

m∠JKG = 76 - 2(10)

= 76 - 20

= 56°

Therefore, measure of the angle JKG is:

m∠JKG = 56°

4 0

2 years ago

John is skiing on a mountain with an altitude of 1200 feet. The angle of depression is 21 About how far does

Agata [3.3K]

Answer:

John ski down the mountain is 1285.37 feet.

Step-by-step explanation:

Given : John is skiing on a mountain with an altitude of 1200 feet. The angle of depression is 21.

To find : About how far does John ski down the mountain ?

Solution :

We draw a rough image of the question for easier understanding.

Refer the attached figure below.

According to question,

Let AB be the height of mountain i.e. AB=1200 feet

The angle of depression is 21 i.e. $\theta=21^\circ$

We have to find how far does John ski down the mountain i.e. AC = ?

Using trigonometric,

$\cos\theta = \frac{AB}{AC}$

$\cos(21)= \frac{1200}{AC}$

$AC=\frac{1200}{\cos(21)}$

$AC=1285.37$

Therefore, John ski down the mountain is 1285.37 feet.

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2 years ago

The formula for the future value V (in dollars) of an investment earning simple interest is V=p+prt, where p (in dollars) is the

serious [3.7K]

Answer:

A. $p=\dfrac{V}{1+rt}$

B. $2,307.69

Step-by-step explanation:

You are given the formula

$V=p+prt,$

where V = investment earning simple interest

p = principal,

r = interest rate

t = time

So,

A. $V=p(1+rt)\\ \\p=\dfrac{V}{1+rt}$

B. r = 0.06 (or 6% as percent)

V = $3,000

t =5

so,

$3,000=p+p\cdot 0.06\cdot 5\\ \\3,000=p+0.3p\\ \\1.3p=3,000\\ \\p=\dfrac{3,000}{1.3}\approx 2,307.69$

6 0

2 years ago