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3 years ago

Q1 (b) Factorise x2 – 36 (1 mark)

Mathematics

1 answer:

loris [4]3 years ago

4 0

Answer:

(x+6)(x-6)

Step-by-step explanation:

Given: x²-36

Difference of Squares Formula: x²-a²=(x+a)(x-a)

Since 6²=36: x²-6²=(x+6)(x-6)

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F. Use the information above to find 345 + 15. Explain your thinking.

8090 [49]

Answer:

360

Step-by-step explanation:

ikaw na ang mag step by step niyan paki barainlest

6 0

3 years ago

What is 720° converted to radians? <br> a) 1/4<br> b) pi/4<br> c) 4/pi<br> d) 4pi

baherus [9]

4π radians

<h3>Further explanation</h3>

We provide an angle of 720° that will be instantly converted to radians.

Recognize these:

$\boxed{ \ 1 \ revolution = 360 \ degrees = 2 \pi \ radians \ }$
$\boxed{ \ 0.5 \ revolutions = 180 \ degrees = \pi \ radians \ }$

From the conversion previous we can produce the formula as follows:

$\boxed{\boxed{ \ Radians = degrees \times \bigg( \frac{\pi }{180^0} \bigg) \ }}$
$\boxed{\boxed{ \ Degrees = radians \times \bigg( \frac{180^0}{\pi } \bigg) \ }}$

We can state the following:

Degrees to radians, multiply by $\frac{\pi }{180^0}$
Radians to degrees, multiply by $\frac{180^0}{\pi }$

Given α = 720°. Let us convert this degree to radians.

$\boxed{ \ \alpha = 720^0 \times \frac{\pi }{180^0} \ }$

720° and 180° crossed out. They can be divided by 180°.

$\boxed{ \ \alpha = 4 \times \pi \ }$

Hence, $\boxed{\boxed{ \ 720^0 = 4 \pi \ radians \ }}$

- - - - - - -

<u>Another example:</u>

Convert $\boxed{ \ \frac{4}{3} \pi \ radians \ }$ to degrees.

$\alpha = \frac{4}{3} \pi \ radians \rightarrow \alpha = \frac{4}{3} \pi \times \frac{180^0}{\pi }$

180° and 3 crossed out. Likewise with π.

Thus, $\boxed{\boxed{ \ \frac{4}{3} \pi \ radians = 240^0 \ }}$

<h3>Learn more </h3>

A triangle is rotated 90° about the origin brainly.com/question/2992432
The coordinates of the image of the point B after the triangle ABC is rotated 270° about the origin brainly.com/question/7437053
What is 270° converted to radians? brainly.com/question/3161884

Keywords: 720° converted to radians, degrees, quadrant, 4π, conversion, multiply by, pi, 180°, revolutions, the formula

6 0

3 years ago

Read 2 more answers

Jack was planting a tree. He was to dig a hole that was 3 feet deep for every 5 feet of tree height. How deep should he dig the

nlexa [21]

Jack was planting a tree. He was to dig a hole that was 3 feet deep for every 5 feet of tree height. How deep should he dig the hole for a tree that is 17feet high.

Calculations

$\frac{DEEP}{HIEGHT}$

Cross multiplication

$\frac{3 DEEP}{5 HIEGHT}$ = $\frac{x}{13}$

5x = 2 x 13

Divide by 5 to isolate x

$\frac{5x}{5}$ = $\frac{51}{5}$

x = 10.2

Answer = 10.2

4 0

3 years ago

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Use angle relationships to find the value of x.

Juli2301 [7.4K]

Answer:

x=12.

Step-by-step explanation:

Let's get this straight out of the way, the 3 angles of a triangle ALWAYS add up to 180. Now that that's said, lets begin. Since the opposing side of an angle is the same as the regular side, we simplify to get: 5x+120=180. 180-120=60. so 5x=60. 60/5=12. so x=12.

7 0

3 years ago

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F(x) = x2. What is g(x)?

wolverine [178]

Answer:

Step-by-step explanation:

when x=2,g(x)=2

g(x)=(2)²/2=2

which is correct.

8 0

3 years ago