What is the perimeter of a triangle with vertices located at (-1, 4), (2, 7), and (1, 5), rounded to the nearest hundredth? A. 7.63 units B. 7.89 units C. 8.71 units D. 9.24 units

Answers

Answer 1

Answer: we are given with the points (-1,4), (2,7) and (1,5) as the sides of the triangle. The area of the triangle can be determined by determining first the length of the sides. Via distance formula, the sides are 3 sqrt 2, sqrt 5 and sqrt 5. The perimeter thus is equal to 8.71 units

Answer 2

Answer:

The perimeter of a triangle with vertices located at (-1, 4), (2, 7), and (1, 5) is 8.71 units

How to determine the perimeter?

The coordinates are given as:

(-1, 4), (2, 7), and (1, 5)

Calculate the distance between these points using:

$d = √((x_2 -x_1)^2 + (y_2 - y_1)^2)$

So, we have:

$AB = √((-1 -2)^2 + (4 - 7)^2) = 4.24$

$BC = √((2-1)^2 + (7 - 5)^2) = 2.24$

$AC = √((-1-1)^2 + (4 - 5)^2) = 2.24$

The perimeter P is then calculated using:

P = 4.24 + 2.24 + 2.24

Evaluate the sum

P = 8.71

Hence, the perimeter of the triangle is 8.71 units

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Evaluate the expression: |10| - 3 × |-2| +5

Answers

10 - 3 × 2 + 5 = 10 - 6 + 5 = 9

No responses yet... John is making trail mix based on a recipe that combines 6 cups of nuts with 5 cups of granola. John has 36 cups of nuts. How many cups of trail mix (total) does he have?

Answers

Given:

A recipe combines 6 cups of nuts with 5 cups of granola.

John has 36 cups of nuts.

To find:

Number of cups of trail mix (total) does he have.

Solution:

The recipe combines 6 cups of nuts with 5 cups of granola.

The recipe combines 1 cup of nuts with $(5)/(6)$ cups of granola.

The recipe combines 36 cup of nuts with $36* (5)/(6)$ cups of granola.

So, the number of cups of granola in trail mix is

$Granola=36* (5)/(6)$

$Granola=6* 5$

$Granola=30$

Total number of cups = cups of nuts + cups of granola.

$=36+30$

$=66$

Therefore, the total number of cups in trail mix (total) he have, is 66.

Manoj's orchard is rectangular of length 39 m and breadth 46 m. If a cost of constructing a wire fence AED 20 per meter, find the cost of fencing the Orchard ?

Answers

Answer:

AED 3400

Step-by-step explanation:

The perimeter of the rectangular orchard is twice the sum of length and width, so is ...

P = 2(L+W) = 2(39 m +46 m) = 170 m

At a cost of 20/m, the cost of fence is ...

cost = (AED 20/m)·(170 m) = AED 3400

Apply distributive property to factor out the greatest common factor in 8x - 20.

Answers

Answer:

There are 3 common factors of 8 and 20, that are 1, 2, and 4. Therefore, the greatest common factor of 8 and 20 is 4.

One number is 800 less than 3 times the other, and their sum is 1,200. Find the numbers.

Answers

You can use variables to get the answer. So there's x, and the other number is 800 less than 3 times x

Their sum is 1,200, so you get this equation:

x + 3x - 800 = 1,200 (add like terms)
4x - 800 = 1,200 (add 800 on both sides)
4x = 2,000 (divide by 4 on each side)
x = 5,000

The first number is 5,000.
If the second number is 800 less than 3 times the other, 500(3) - 800 = 700.

CHECK YOUR WORK:
5,000 + 700 = 1,200
1,200 = 1,200

THE TWO NUMBERS ARE: 5,000 & 700

A baker made 9 cupcakes 4 people want to share them equally how many will each person get

Answers

Everyone would get 2 1/4 cupcakes because if you split up each cupcake by 4, (In four different pieces) everyone would get 9/4 slices. Change to a mixed number to get 2 1/4

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