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Maurinko [17]
3 years ago
10

Use the distributive property to express each sum With the gcf factored out . 35+63

Mathematics
2 answers:
Nutka1998 [239]3 years ago
6 0
7(5+9)
since 7 is the gcf :)
kari74 [83]3 years ago
4 0
35=5 \times 7 \\
63=3 \times 3 \times 7 \\
GCF(35,63)=7 \\ \\
36+63=7 \times 5 + 7 \times 9=\boxed{7(5+9)}
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Given 1+ cos x/ sin x + sin x/1+ cos x= 4, find a numerical value of one trigonometric function of x.
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Answer:

The numerical value of the trigonometric function is 30 °

Step-by-step explanation:

Given trigonometric function as :

\frac{1 + cos x}{sin x} + \frac{sin x}{1 + cos x} = 4

or, Taking LCM we get

\frac{(1+cosx)^{2}+sin^{2}x}{(sinx)\times (1+cosx)} = 4

Or,  ( 1 + cos x )² + sin² x = 4 × ( sin x ) × ( 1 + cos x )

1 + cos² x + 2 cox + sin² x = 4 sin x + 4 sin x × cos x

or, (  cos² x + sin² x ) + ( 1 + 2 cos x ) = 4 sin x ( 1 + cos x )

 ∵  cos² x + sin² x = 1

or,  1 + 1 + 2 cos x  = 4 sin x ( 1 + cos x )

or, 2 + 2 cos x = 4 sin x ( 1 + cos x )

or, 2 ( 1 + cos x ) = 4 sin x ( 1 + cos x )

Or, \frac{2 ( 1+ cos x )}{4 ( 1 + cos x )} = sin x

Or, sin x = \frac{1}{2}

∴  x = sin^{-1}\frac{1}{2}

 ∵ sin 30 ° = \frac{1}{2}

I.e  x = 30 °

Hence The numerical value of the trigonometric function is 30 °  answer

3 0
3 years ago
A group of children made 1,200 snowflakes in 3 days. They made 30% of the snowflakes on the first day of the project. On the sec
8_murik_8 [283]

Using proportions, it is found that the children made 408 snowflakes on the third day.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

On the first day, they made 30% of the total amount of 1,200, hence:

D1 = 0.3 x 1200 = 360

On the second day, they made 20% more day in the first, hence:

D2 = 1.2 x 360 = 432.

On the third day, they made the remaining amount, hence:

D3 = 1200 - (360 + 432) = 408.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

7 0
2 years ago
Solve sinθ = √3(1-cosθ) where 0&lt;=θ&lt;=360​
laiz [17]

Answer:

I didn't understand your language bro its OPT question is wrong

Step-by-step explanation:

Actually ooo √3 is root

7 0
3 years ago
MATH HELP PLEASE! I NEED HELP IM DUMB
deff fn [24]

First of all...YOU'RE NOT DUMB!!! You just need some help! Being confident in your knowledge/skills is half the work! ;D

And second...

PART 1:

28. Polygon ABCDE is a pentagon (it has five sides). The sum of the interior angle measures for a pentagon is 540°. Here's what we know:

m<A = 90°

m<B = 90°

m<D = 90°

m<C = m<E

First, find the sum of the measures of angles A, B, and D.

(90)(3) = 270°.

Next, find the combined angle measure of angles C and E.

540 - 270 = 270°.

Finally, find the measure of angle E (or m<AED).

270 / 2 = 135°.

So, to fill in the blanks:

90 · 3 + x · 2 = 540

m<AED = 135°.

29.

(a) 360°

(b) hexagon

(c) 1080

(d) hendecagon (11 sides)

I have attached a table containing a list of polygons, their side-count, and the sum of their interior angles.

PART 2:

Complimentary angles are angles whose measures add to equal 90°.

Supplementary angles are angles whose measures add to equal 180°.

30. 35° + 55° = 90°; Complimentary.

31. 62° + 108° = 170°; Neither.

Hope this helps!

5 0
4 years ago
2w+4w^2-5w^3
Shtirlitz [24]

Sorry, but this problem cannot be simplified.

It stays how it is.

3 0
3 years ago
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