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3 years ago

Helpppp with this :>

Mathematics

2 answers:

Paul [167]3 years ago

7 0

Answer:

x=9

Step-by-step explanation:

Iteru [2.4K]3 years ago

6 0

Answer:

x=9

Step-by-step explanation:

Area of a rectangle = length * width

84 = (x-2) * ( x+3); distribute

84 = x²+3x-2x-6; combine like terms and subtract 84 from both sides

0 = x² +x -90

if x= 9 will have 9² +9 -90= 81 +9 -90 = 90-90 = 0 so x=9 works

if x= 10 will have 10² +10 -90 = 100-80= 20 ≠0 so x= 10 does NOT work

if x= -10 and x= -9 will not make sense because we can NOT have a negative measurement

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The circumference of a circle is 9 pi.What is the area,in square inches,of a circle?Express your answer in terms of pi.

Alla [95]

Answer:

20.25π

Step-by-step explanation:

The circumference (C) of a circle is calculated using the formula

C = 2πr ← r is the radius

given C = 9π, then

2πr = 9π ( divide both sides by 2π )

r = $\frac{9\pi }{2\pi }$ ( cancel the π on numerator/denominator )

= 4.5

The area (A) of a circle is calculated using the formula

A = πr² = π × 4.5² = 20.25π

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3 years ago

4 + 5x = 3 (-x + 3) -11

Salsk061 [2.6K]

Answer:

4 + 5x = 3 (-x + 3) -11

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8 0

3 years ago

What number goes in the box in the followng sequence 5 11 23 ? 95 191

Alina [70]

Answer:

Step-by-step explanation:

The number that should go after 23 is 47.

The pattern seems to be (n * 2) + 1, where n is the value of the previous number.

We start with the number 5:

(5 * 2) + 1 = 11

(11 * 2) + 1 = 23

(23 * 2) + 1 = 47

... and so on

The pattern should continue as follows.

Hope this helps!

3 0

3 years ago

Verify that (cos²a) (2 + tan² a) = 2 - sin² a....<br>

Sveta_85 [38]

Trigonometric Formula's:

$\boxed{\sf \ \sf \sin^2 \theta + \cos^2 \theta = 1}$

$\boxed{ \sf tan\theta = \frac{sin\theta}{cos\theta} }$

Given to verify the following:

$\bf (cos^2a) (2 + tan^2 a) = 2 - sin^2 a$

$\texttt{\underline{rewrite the equation}:}$

$\rightarrow \sf (cos^2a) (2 + \dfrac{sin^2 a}{cos^2 a} )$

$\texttt{\underline{apply distributive method}:}$

$\rightarrow \sf 2 (cos^2a) + (\dfrac{sin^2 a}{cos^2 a} ) (cos^2a)$

$\texttt{\underline{simplify the following}:}$

$\rightarrow \sf 2cos^2 a + sin^2 a$

$\texttt{\underline{rewrite the equation}:}$

$\rightarrow \sf 2(1 - sin^2a ) + sin^2 a$

$\texttt{\underline{distribute inside the parenthesis}:}$

$\rightarrow \sf 2 - 2sin^2a + sin^2 a$

$\texttt{\underline{simplify the following}} :$

$\rightarrow \sf 2 - sin^2a$

Hence, verified the trigonometric identity.

7 0

2 years ago

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Find the solution to the system of equations.

Anna [14]

No solution it’s infinite

5 0

3 years ago