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3 years ago

Which number is equivalent to –(–2)? A. –2 B. 0 C. 2 D. 4

Mathematics

2 answers:

mart [117]3 years ago

7 0

Answer:

The answer is A. -2

Step-by-step explanation:

The answer is A. because the absolute value of -2 is 2. But because of the other negative sign it would become -2 again. Hope this helps :)

ZanzabumX [31]3 years ago

6 0

Answer: The answer is C. 2

Step-by-step explanation:

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The width and the length of a rectangle are consecutive even integers. If the width is decreased by 3 inches, then the area of t

Yuliya22 [10]

The original are would be 48.

Since we know that the length and width are two consecutive even integers, we can model them as follows:

Width = x

Length = x + 2

This works because no matter what even number is put in for x, the length will also be even.

Now we know if we subtract 3 from the width, we have a new rectangle that gives us an area of 24 inches. Therefore, our new triangle has the following:

Width: x - 3

Length: x + 2

Area: 24

And we can plug this into the equation.

Length* Width = Area

(x + 2)(x - 3) = 24

x^2 - x - 6 = 24

x^2 - x - 30 = 0

This is not a quadratic that we can factor to show the following:

(x - 6)(x + 5) = 0

This gives us the answers of x = 6 and x = -5. Since a side can't be negative, we throw out the x = -5 and the answer is x = 6.

So if we go back to the original rectangle, we know:

Width = x = 6

Length = x + 2 = 8

Area = 6*8 = 48

7 0

3 years ago

In ΔABC, ∠B measures 35° and the values of a and b are 19 and 11, respectively. Find the remaining measurements of the triangle,

Anna35 [415]

Answer:

a) ∠A = 82.2° , ∠C = 62.8° , c = 17.01

Step-by-step explanation:

Explanation:-

Step(i):-

Given data ∠B measures 35° and the values of a and b are 19 and 11

∠B = 35° and sides a = 19 and b = 11

By using sine rule

$\frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{Sin C} = 2 R$

now we will use

$\frac{a}{sin A} = \frac{b}{sin B}$

$\frac{19}{sin A} = \frac{11}{sin 35}$

cross multiplication , we get

$\frac{19 X sin 35}{11} = sinA$

sin A = 0.990

A = sin⁻¹( 0.990) = 82.2°

∠A = 82.2°

Step(ii):-

we know that ∠A +∠B +∠C = 180°

∠C = 180° - ∠A -∠B

∠C = 180° -82.2°-35°

∠C = 62.8°

Step(iii):-

we will use formula

$\frac{b}{sin B} = \frac{c}{Sin C}$

$\frac{11}{sin 35} = \frac{c}{Sin 62.8}$

$\frac{11 X sin (62.8)}{sin 35} = C$

c = 17.01

Final answer:-

∠A = 82.2° , ∠C = 62.8° , c = 17.01

4 0

3 years ago

Write this number in a scientific notation 36,300,000

ZanzabumX [31]

Answer:

Step-by-step explanation:

Move the decimal place over 7 places to the left which means adding to the exponent.

3.63 x 10^7

8 0

2 years ago

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What is the mean for this list of numbers? 13, 26, 33, 45

olasank [31]

The mean is 29.25 but you need to round it so it would be 30 hope it helps <3

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2 years ago

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8 is 40% of what number? Please show your work

KengaRu [80]

Do a proportion
40/100= 8/x
8 x 100= 800
Cross multiply and divide
800 divided by 40= 20
So answer is 20

5 0

3 years ago

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