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3 years ago

Please Help!! :)

Mathematics

1 answer:

castortr0y [4]3 years ago

4 0

Answer:

"If the shape is not a rectangle, then the shape doesn't has four sides."

Step-by-step explanation:

Given conditional statement is,

" Is a shape has four sides, then the shape is a rectangle."

Here we have two statements:

Statement p → A shape has four sides

Statement q → The shape is a rectangle.

Contrapositive of the statement will be:

If $\sim q$ then $\sim p$ .

Therefore, contrapositive will be,

"If the shape is not a rectangle, then the shape doesn't has four sides."

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40 POINTS NEED HELP ASAP

sesenic [268]

Use slope formula: y2-y1/x2-x1

XZ: -5/9
YZ: 2/7
XY: -7/2

XYZ is a right triangle because two of these slopes have a product of -1.

(YZ and XY does). We are all busy these days.

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3 years ago

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The quantity y varies directly as x and inversely as z. When x is 10 and z is 4, y is 15. What is y when x is 20 and z is 6?

frosja888 [35]

Y=(kx)/z

15=(k10)/4
15=(5k/2)
15=k(5/2)
ties both sides by 2/5 to clear fraction
6=k

y=(6x)/z

x=20
z=6
y=(6*20)/6
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3 years ago

Solve. -5 3/4-3 1/2=?

g100num [7]

Answer: -9 1/4.

Step-by-step explanation:

6 0

2 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:

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

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

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

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

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

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

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

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

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

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2 years ago

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two hundred tickets for the school play were sold. tickets cost $2 for students and $3 for adults. the total amount collected wa

Gre4nikov [31]

A system of equations is good for a problem like this.
Let x be the number of student tickets sold
Let y be the number of adult tickets sold
x + y = 200
2x + 3y = 490
x = 200 - y
2(200 - y) + 3y = 490
400 - 2y + 3y = 490
400 + y = 490
y = 90
The number of adult tickets sold was 90.
x + 90 = 200 --> x = 110
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The number student tickets sold was 110.

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3 years ago