The length of the base of a right-angled triangle ABC is 6 centimeters and the length of the hypotenuse is 10 centimeters. Find the area of the triangle.

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Ok, so we see that we have 6 as a leg of the right triangle and 10 as the hypotenuse. As we look closer, we can tell that this makes the Pythagorean triple 6, 8, 10. 6, 8, 10 is just the Pythagorean triple 3, 4, 5 but it is multiplied by 2. So now that we know both the legs of this right triangle, we can use the area of a triangle formula (bh)/2. 6*8=48 and 48/2 = 24 which gives us our answer.

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Select two polynomials that have a sum of 16n^3+13n^2+7n-10 A. 8n^3 - 5n +11n^2 - 5 B. 7n^2 + 8n - n^3 + 2 C. 15n^2 - 10n + 3n^3 - 4 D. 2n^2 + 12n - 5 + 8n^3

Answers

Option A and Option D are correct, $8n^3 - 5n +11n^2 - 5$ and $2n^2 + 12n - 5 + 8n^3$ are added to form the polynomial $16n^3 + 13n^2 + 7n - 10.$

To find two polynomials that have a sum of $16n^3 + 13n^2 + 7n - 10.$

Add the coefficients of the corresponding terms in each polynomial and see if they match the coefficients of the given polynomial.

In the given options, let us consider two polynomials:

$8n^3 - 5n +11n^2 - 5$ and $2n^2 + 12n - 5 + 8n^3$

Add these two polynomials:

$8n^3 - 5n +11n^2 - 5 + 2n^2 + 12n - 5 + 8n^3$

Group the like terms:

$8n^3+8n^3+11n^2+2n^2-5n+12n-5-5$

Combine like terms:

$16n^3 + 13n^2 + 7n - 10.$

Hence, the two polynomials that have a sum of $16n^3 + 13n^2 + 7n - 10$ are $8n^3 - 5n +11n^2 - 5$ and $2n^2 + 12n - 5 + 8n^3$ . Option A and D are correct.

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Before adding or subtracting fractions, one must first get a common __________. A) Numerator B) Denominator C) Whole number D) Mixed number

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Before adding or subtracting fractions, one must first get a common **B) Denominator.** Having a common denominator allows fractions to be combined accurately.

Solve : cos X + sin X = 0
Pls all answers in radians
thanks

Answers

cos (X) + sin (X) = 0

Subtract cos(x) from each side:

sin(x) = -cos(x)

Divide each side by cos(x) :

sin(x) / cos(x) = -1

But sin/cos = tangent

tan(x) = -1

x = 135° and 315°

x = 3/4 pi radians and 7/4 pi radians

Layla drew a quadrilateral with four right angles and two pairs of opposite sides are parallel name to quadrilaterals she could've drawn

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duhhh she drew a rectangle and a square:)

Theresa worked 9 hours on Monday and 7 hours on Wednesday. Her total pay was $116.00. What is her rate per hour?

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GivenSituation: Theresa worked 9 hours on Monday and 7 hours on Wednesday.
=> First let’s add the total amount of hours Theresa rendered.
=> 9 + 7 = 16 hours in total
Her total pay was $116.00. What is her rate per hour?
=> Let’s solve for the unit rate:
=> 16 hours for 116 dollars.
Let’s find x dollars / hour
=> 116 dollars / 16 hours = 7.25 dollars / hour.
Thus, she is paid 7.25 dollars every hour she do her work

If you would like to know what is her rate per hour, you can calculate this using the following steps:

9 hours on Monday + 7 hours on Wednesday = 9 + 7 = 16 hours

$116.00 / 16 hours = 116.00 / 16 = $7.25

The correct result would be $7.25.

A bracelet that regularly sells for $44 is on sale for 25% off. Find the sale price of the bracelet?

Answers

Regular price : $44

Discount : 25%

So, discount amount : 25% of 44
= 25/100 × 44
= $11

So, amount after applying discount = $44 - $11 = $33

Final answer:

To calculate the sale price of the bracelet, you subtract the discount (25% of $44) from the original price ($44), resulting in a sale price of $33.

Explanation:

The sale price of a bracelet can be calculated by subtracting the discount from the original price. Since the discount is 25% off, calculate 25% of $44, which amounts to $11. Subtract this from the original price of $44. Therefore, $44 - $11 = $33. Hence, the sale price of the bracelet is $33.

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