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2 years ago

Write a polynomial in standard form that represents the area of the shaded region.

Mathematics

2 answers:

trapecia [35]2 years ago

7 0

Answer:

p^2 - 2p - 3.

Step-by-step explanation:

The area of a triangle = 1/2 * base * height so here we have

Area = 1/2 (p + 1)(2p - 6)

= 1/2( 2p^2 - 6p + 2p - 6)

= 1/2 ( 2p^2 - 4p - 6)

= p^2 - 2p - 3.

Kamila [148]2 years ago

4 0

1/2•(2p-6)(p+1)
1/2•(2p^2+2p-6p-6)
1/2•(2p^2-4p-6)
p^2-2p-3

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What multiplies to 3025 and adds to -111?

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The numbers 55 and 55.

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3 years ago

If the tax rate is 9.5%. determine how much tax you will need to pay on your order

7nadin3 [17]

Answer:

In order to calculate the sales tax of an item, we need to first multiply the pre-tax cost of the item by the sales tax percentage after it has been converted into a decimal. Once the sales tax has been calculated it needs to be added to the pre-tax value in order to find the total cost of the item.

Step-by-step explanation:

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3 years ago

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Please help me with this.

zheka24 [161]

The sin A is equal to 12/13 and the tan (A) is equal to 12/5.

<h3>RIGHT TRIANGLE</h3>

A triangle is classified as a right triangle when it presents one of your angles equal to 90º. The greatest side of a right triangle is called hypotenuse. And, the other two sides are called cathetus or legs.

The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem.

The Pythagorean Theorem says: $hypotenuse^2=(leg_1)^2+(leg_2)^2$ . And the main trigonometric ratios are:

$sin(\beta )= \frac{opposite\;leg}{hypotenuse} \\ \\ cos(\beta )= \frac{adjacent\;leg}{hypotenuse} \\ \\ tan(\beta )= \frac{opposite\;leg}{adjacent\;leg} \\ \\$

The question gives cos (A)=5/13. If cos (A) is represented by the quotient between the adjacent leg and the hypotenuse, you have:

adjacent leg=5

hypotenuse=13

Therefore, you can find the opposite leg of A from Pythagorean Theorem, see below.

$hypotenuse^2=(leg_1)^2+(leg_2)^2\\ \\ 13^2=5^2+(leg_2)^2\\ \\ 169=25+(leg_2)^2\\ \\ 144=(leg_2)^2\\ \\ leg_2=12$

Thus, the opposite leg is equal to 12. Now, you can find sin (A) since:

$sin(A)= \frac{opposite\;leg}{hypotenuse}=\frac{12}{13}$

Finally, you can find the tan (A) since:

$tan(a )= \frac{opposite\;leg}{adjacent\;leg}=\frac{12}{5}$

Learn more about trigonometric ratios here:

brainly.com/question/11967894

#SPJ1

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1 year ago

Which statements are true about a rectangular pyramid with a height of 9 centimeters and a base with the dimensions of 4 centime

Semmy [17]

Answer:

B. The area of the base of the pyramid, B, is 24 centimeters squared.

C. A rectangular prism with the dimensions of 9 centimeters by 4 centimeters by 6 centimeters will have 3 times volume of this pyramid.

Step-by-step explanation:

Given a rectangular pyramid with:

Height=9 cm

Base Dimensions = 4 centimeters by 6 centimeters

Base Area B=4 X 6 =24 Square cm.

Therefore, Option B (The area of the base of the pyramid, B, is 24 centimeters squared) is correct.

Volume of a pyramid = $\frac{1}{3} $ X Base Area X Height$

$=\frac{1}{3} X 24X9=72 cm^3$

Volume of a Prism with the dimensions of 9 centimeters by 4 centimeters by 6 centimeters

=Base Area X Height

=24 X 9

$=216 cm^3$

Now, 216/72=3

Therefore, A rectangular prism with the same dimensions will have 3 times volume of this pyramid

Therefore, <u>Option C is correct.</u>

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EASY POINTS EVALUATION

dedylja [7]

Answer:

$\frac{4}{9}$

Step-by-step explanation:

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6 0

1 year ago

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