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2 years ago

A quilt is made of 12 squares of equal size. Each square measures 15 cm by 15 cm.

Mathematics

2 answers:

kolezko [41]2 years ago

3 0

Answer: 12 x 15= 180 cuadrados

juas juas juas 180 + 180 = 360

15 x 15 cm = 360

Step-by-step explanation:

Lyrx [107]2 years ago

3 0

Answer:

Its $2,700cm^{2}$

Ste,p-by-step explanation:

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Verify each trigonometric equation by substituting identities to match the right hand side of the equation to the left hand side

lorasvet [3.4K]

Answer:

Step-by-step explanation:

cot x sec⁴ x = cot x+2 tan x +tan³x

L.H.S = cot x sec⁴x

=cot x (sec²x)²

=cot x (1+tan²x)² [ ∵ sec²x=1+tan²x]

= cot x(1+ 2 tan²x +tan⁴x)

=cot x+ 2 cot x tan²x+cot x tan⁴x

=cot x +2 tan x + tan³x [ ∵cot x tan x $=\frac{ \textrm{tan x }}{\textrm{tan x}}$ =1]

=R.H.S

(sin x)(tan x cos x - cot x cos x)=1-2 cos²x

L.H.S =(sin x)(tan x cos x - cot x cos x)

= sin x tan x cos x - sin x cot x cos x

$=\textrm{sin x cos x }\times\frac{\textrm{sin x}}{\textrm{cos x} } - \textrm{sinx}\times\frac{\textrm{cos x}}{\textrm{sin x}}\times \textrm{cos x}$

= sin²x -cos²x

=1-cos²x-cos²x

=1-2 cos²x

=R.H.S

1+ sec²x sin²x =sec²x

L.H.S =1+ sec²x sin²x

= $1+\frac{{sin^2x}}{cos^2x}$ [ $\textrm{sec x}=\frac{1}{\textrm{cos x}}$ ]

=1+tan²x $[\frac{\textrm{sin x}}{\textrm{cos x}} = \textrm{tan x}]$

=sec²x

=R.H.S

$\frac{\textrm{sinx}}{\textrm{1-cos x}} +\frac{\textrm{sinx}}{\textrm{1+cos x}} = \textrm{2 csc x}$

L.H.S= $\frac{\textrm{sinx}}{\textrm{1-cos x}} +\frac{\textrm{sinx}}{\textrm{1+cos x}}$

$=\frac{\textrm{sinx(1+cos x)+{\textrm{sinx(1-cos x)}}}}{\textrm{(1-cos x)\textrm{(1+cos x})}}$

$=\frac{\textrm{sinx+sin xcos x+{\textrm{sinx-sin xcos x}}}}{{(1-cos ^2x)}}$

$=\frac{\textrm{2sin x}}{sin^2 x}$

= 2 csc x

= R.H.S

-tan²x + sec²x=1

L.H.S=-tan²x + sec²x

= sec²x-tan²x

= $\frac{1}{cos^2x} -\frac{sin^2x}{cos^2x}$

$=\frac{1- sin^2x}{cos^2x}$

$=\frac{cos^2x}{cos^2x}$

8 0

3 years ago

The sum of 9 and a number is less than 12. Which of the following

Fofino [41]

Answer:

9+x<12

Step-by-step explanation:

add 9 to an unknown number.

9+x

use the < less than symbol (instead of an equal sign) and write 12.

3 0

3 years ago

Read 2 more answers

Daniel is using apple juice to make juice pops. He has 3 cups of juice, and each juice pop uses 1/2 of a cup of juice. How many

Gennadij [26K]

Answer:

Step-by-step explanation:

2 halves make a whole so multiply 2 by 3. the answer is six. you can also add the halves. 1/2+1/2+1/2+1/2+1/2+1/2=3.

6 0

2 years ago

Need help on answering 20.

Reptile [31]

N=64.
32+64=100
64/8=8
sqrt (64+225)= sqrt (289) = positive and negative 17

8 0

3 years ago

Q2:

anygoal [31]

Answer: rectangular prism

Step-by-step explanation:

4 0

3 years ago