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2 years ago

What is the area of the triangle?

Mathematics

2 answers:

lesantik [10]2 years ago

8 0

Answer:

18 units²

Step-by-step explanation:

there are two ways to calculate the required area.

the length of the side AB=7+2=9; the length of CD is 6-2=4 (note, CD⊥AC), then the required area is:

A=9*4/2=18.

the coordinates of the vector AB=(0;-9), of vector AC=(4;-3).

The required area can be calculated using the formula: A=0.5*[ABxAC].

$|A|=|\frac{1}{2}*\left[\begin{array}{ccc}0&-9\\4&-3\\\end{array}\right]|=|(-36):2|=18.$

Alexandra [31]2 years ago

7 0

Answer:

.............hope it helps.......

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Beth wants to buy Christmas lights to decorate her new home. At various stores, Beth found lights priced from $6.99 a strand to

Monica [59]

Answer:

Christmas lights are price based shopping products

Step-by-step explanation:

From the question we understand that, Beth bought as many cheapest lights as possible. This means that she places value over quantity than quality.

The above is an illustration of price based shopping products where customers (in this case, Beth) see all products (in this case, Christmas lights) as similar products, irrespective of their different qualities (after all, they all light Christmas trees).

Because of this, the customer will opt for least expensive items, leaving the more expensive items.

8 0

3 years ago

Find the perimeter of the figure below , composed of a rectangle and two semicircles .round to the nearest tenths place

Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

22/7 × 14 × ½ × 2 = 44

15 + 15 = 30

30 + 44 = 74

5 0

3 years ago

The surface of an office desk has a perimeter of 20 feet and an area of 21 square feet. what are the dimensions of the desk?

PolarNik [594]

Answer:

3 feet by 7 feet

Step-by-step explanation:

perimeter = 20 feet

area = 21 feet²

If the desk is a rectangle:

perimeter = 2l + 2w = 2 (l+w) = 20

2 (l+w) = 20 , divide both sides by 2

l+w = 10

area = l · w = 21

What numbers we know that have sum as 10 and their product as 21?

l + w = 10

l · w = 21

factors of 21 are 1,3,7

3+7 = 10

3 ·7 = 21

The dimensions of the desk could be 3 feet by 7 feet.

6 0

2 years ago

In parallelogram ABCD, AB = 16 cm, DA = 3<img src="https://tex.z-dn.net/?f=%5Csqrt%7B2%7D" id="TexFormula1" title="\sqrt{2}" alt

Murljashka [212]

Answer:

length of segment YZ is 8 cm

Step-by-step explanation:

given data

AB = 16 cm

DA = 3 $\sqrt{2}$ cm

AB and DA form interior angle = 45-degre

WX ≠ YZ

WX = 16 cm

to find out

length of segment YZ

solution

area of △ABD is the same as the area of △BCD

and

area of △ABD is express as

area of △ABD = AB × AD × sin(45) ÷ 2 ............1

put here value

area of △ABD = 16 × 3√2 × sin(45) ÷ 2

area of △ABD = 24

and

area of the parallelogram is

area of the parallelogram = 24 × 2

area of the parallelogram = 48

now we will consider here YZ = x

and Since ZY XW is isosceles trapezoid

so here we can say that

WM = ZM = (16 - x) ÷ 2 .......................2

so area of trapezoid will be

area of trapezoid = $\frac{ZY + WX }{2} \times ZM$ .......................3

area of trapezoid = $\frac{x+16}{2} \times \frac{16 - x}{2}$

48 = $\frac{x+16}{2} \times \frac{16 - x}{2}$

solve it we get

x = 8

so length of segment YZ is 8 cm

7 0

3 years ago

When you square each side of an equation, is the resulting equation equivalent to the original?

Marina CMI [18]

It is not equivalent to the original

4 0

3 years ago