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attashe74 [19]
3 years ago
5

What is the value of |–2|? A- 1 B- –2 C- 0 D- 2

Mathematics
1 answer:
AVprozaik [17]3 years ago
3 0

Answer:

D) 2

Step-by-step explanation:

Absolute values are never negative, so B is wrong. Absolute value is the distance from zero, in this case, 2.

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Perform the indicated operation and simplify the result.<br><br> (Tell me if it’s too blurry)
Alex

Answer:

7/(3a-1)

Step-by-step explanation:

I have tried to show the steps in the attached image,

if you need further explanation please let me know.

3 0
3 years ago
How many feet are in 100meters
77julia77 [94]

Answer: 328 feet, 1 inch

Step-by-step explanation:

3.281 feet makes 1 meter

To solve the question, Multiply the value by 3.281:

100 meters = 100 x 3.281 feets

=328.1 feet

I hope this helps.

5 0
3 years ago
the new parking lot has spaces for 450 cars the ratio of spaces for full size cars to compact cars is 11 to 4 how many spaces ar
Bogdan [553]
The ratio 11:4 means that the total number of spaces is a multiple of 15 parts, this multiple is what value is assigned to each part.

450/15=30  so each part is equal to 30 spaces

Full sized car spaces are 11*30=330 spaces

Compact car spaces are 4*30=120 spaces.
6 0
3 years ago
Find the area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm.
melamori03 [73]

Answer:

6+2\sqrt{21}\:\mathrm{cm^2}\approx 15.17\:\mathrm{cm^2}

Step-by-step explanation:

The quadrilateral ABCD consists of two triangles. By adding the area of the two triangles, we get the area of the entire quadrilateral.

Vertices A, B, and C form a right triangle with legs AB=3, BC=4, and AC=5. The two legs, 3 and 4, represent the triangle's height and base, respectively.

The area of a triangle with base b and height h is given by A=\frac{1}{2}bh. Therefore, the area of this right triangle is:

A=\frac{1}{2}\cdot 3\cdot 4=\frac{1}{2}\cdot 12=6\:\mathrm{cm^2}

The other triangle is a bit trickier. Triangle \triangle ADC is an isosceles triangles with sides 5, 5, and 4. To find its area, we can use Heron's Formula, given by:

A=\sqrt{s(s-a)(s-b)(s-c)}, where a, b, and c are three sides of the triangle and s is the semi-perimeter (s=\frac{a+b+c}{2}).

The semi-perimeter, s, is:

s=\frac{5+5+4}{2}=\frac{14}{2}=7

Therefore, the area of the isosceles triangle is:

A=\sqrt{7(7-5)(7-5)(7-4)},\\A=\sqrt{7\cdot 2\cdot 2\cdot 3},\\A=\sqrt{84}, \\A=2\sqrt{21}\:\mathrm{cm^2}

Thus, the area of the quadrilateral is:

6\:\mathrm{cm^2}+2\sqrt{21}\:\mathrm{cm^2}=\boxed{6+2\sqrt{21}\:\mathrm{cm^2}}

4 0
3 years ago
Solve the equation, justify<br> each step with an algebraic<br> property<br> -(x - 6) = 4
lesantik [10]

Answer:

x=2

Step-by-step explanation:

Step 1_  −(x−6)=4

              −x+6=4(Distribute)

               −x+6=4

Step 2_       −x+6−6=4−6

                   −x=−2

Step 3_       −x    equals   -2

                    −1                   -1

x=2

Hope this helps :)

3 0
3 years ago
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