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3 years ago

Question 2(Multiple Choice Worth 5 points)

Mathematics

2 answers:

Nimfa-mama [501]3 years ago

8 0

Mine is protected view but it could be considered reading view although it might be editing view depending

Alona [7]3 years ago

6 0

Step-by-step explanation:

:OOOOO

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Use the grouping method to factor this polynomial completely.<br> 3x3 + 12x2 + 2x + 8

dezoksy [38]

Answer:

(3x^2 + 2)(x + 4).

Step-by-step explanation:

3x3 + 12x2 + 2x + 8

3x^2(x + 4) + 2(x + 4) The x + 4 is common to the 2 groups so we have:

(3x^2 + 2)(x + 4).

3 0

3 years ago

There is a triangular parking lot at the local mall. The second angle of the triangular parking lot is six more than twice as la

Travka [436]

Answer:

The measure of the three angles are;

The first angle is 62°

The second angle is 28°

The third angle is 90°

Step-by-step explanation:

The given information are;

The shape of the parking lot = Triangular

Let the angles of the triangle be given as follows

First angle = A

Second angle = B

Third angle = C

The given triangle interior angle dimensions are;

A = 6 + 2× B

C = A + B

However, we have;

A + B + C = 180° (Angle sum property for a triangle)

Therefore;

A + B + C = 180° gives;

C + C = 180° (Transitive property)

2·C = 180°

C = 180°/2 = 90°

C = 90°

However, C = A + B therefore;

90° = A + B and, A = 6 + 2 × B, we get;

A + B = 90° (Symmetric property)

6 + 2× B + B = 90° (Substitution property)

6 + 3·B = 90°

3·B = 90° - 6° = 84°

B = 84°/3 = 28°

B = 28°

From, A = 6 + 2 × B, we have;

A = 6 + 2 × 28° = 62°

A = 62°

First angle = A = 62°

Second angle = B = 28°

Third angle = C = 90°

The measure of the three angles are;

First angle is 62°

Second angle is 28°

Third angle is 90°.

8 0

3 years ago

Find the sum<br>7/8+3/4

ICE Princess25 [194]

Answer as an improper fraction = 13/8

This is equivalent to the mixed number 1 & 5/8

In decimal form, 13/8 = 1.625

=========================================

Work Shown:

3/4 = (3/4)*(2/2)

3/4 = (3*2)/(4*2)

3/4 = 6/8

----------

7/8 + 3/4

7/8 + 6/8

(7+6)/8

13/8

So 7/8 + 3/4 = 13/8

4 0

3 years ago

Read 2 more answers

-8x-27=-7\left(1+2x\right)+2x

Darina [25.2K]

Answer:

$x=5$

Step-by-step explanation:

$-8x-27=-7\left(1+2x\right)+2x$

Expand:

$-8x-27=-7\times 1-7\times 2x+2x$

$-8x-27=-7-12x$

Add 27 to both sides:

$-8x-27+27=-7-12x+27$

$-8x=-12x+20$

Add 12x to both sides:

$-8x+12x=-12x+20+12x$

$4x=20$

Divide both sides by 4:

$\frac{4x}{4}=\frac{20}{4}$

$x=5$

5 0

2 years ago

The hypotenuse of a right triangle is 6 inches. if one of the legs is 2 inches, find the degree measure of each angle

miskamm [114]

A and b are the 2 smaller sides, and c = hypotenus; only for right triangles,
Pythagorean Theorem states that:
${c}^{2} = {a}^{2} + {b}^{2}$
given c = 6 in., a = 2 in.
${c}^{2} = {a}^{2} + {b}^{2} \\ {6}^{2} = {2}^{2} + {b}^{2} \\ {b}^{2} = {6}^{2} - {2}^{2} = 36 - 4 \\ \sqrt{ {b}^{2} } = \sqrt{36 - 4} = \sqrt{32}$
$b = \sqrt{32} = \sqrt{16} \times \sqrt{2} = 4 \sqrt{2} \\ b = 5.66 \: inches$
So the three side are 2, 6, and 5.66 inches

5 0

2 years ago