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faltersainse [42]
3 years ago
13

Please help solve (2x+1)(3x+2)=12

Mathematics
1 answer:
Ugo [173]3 years ago
6 0
Distribute the 2x and the +1 to the 3x and +2 (easier if doing 2-way table)
once doing that you should combine like terms and get 12x+2=12
subtract 2 from both sides 
12x=10
then divide by 12
answer=0.83 rounded to the neares<span>t hundrenth</span>
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In triangle abc, angle A is the right angle. What is the value of y?
Natalka [10]

Answer:

A

Step-by-step explanation:

In a right triangle, the side opposite to the 90 degree angle (here, side opposite to angle A) is known as the hypotenuse.

Also, the side that is "opposite" to the angle given (here side opposite is y to angle given 30 degrees) is the opposite side.

Since we want to find "opposite" and have "hypotenuse" , recalling trig ratios, we can say opposite/hypotenuse is the ratio SINE, so we can write:

Sin(30)=\frac{y}{7}

We solve for y:

Sin(30)=\frac{y}{7}\\y = 7 Sin(30)

Since the answer choice has angles in radians, we recall 30 degrees is \frac{\pi}{6} radians.

Thus, the correct answer is  7Sin(\frac{\pi}{6}), or option A

3 0
4 years ago
Read 2 more answers
Please help!!!! Im so bad at math
kakasveta [241]

Answer:

-5.

Step-by-step explanation:

f(n) = 5n + 6

Just plug in  -11/5  for n:

f(-11/5) = 5 (-11/5) + 6

= -11 + 6

= -5.

5 0
4 years ago
I keep putting in the formula but I keep getting the answer wrong​
Advocard [28]

Answer:

314 in²  (nearest whole number)

Step-by-step explanation:

<u>Radius of a regular polygon</u>: The distance from the <u>center</u> of the polygon to any vertex.  The radius of a hexagon is equal to the length of one side.

Therefore, from inspection of the given diagram:

  • radius = 11 in  ⇒  side length = 11 in

To find the area of a regular polygon, we first need to calculate the apothem.   The <u>apothem</u> is the line drawn from the center of the polygon to the midpoint of one of its sides.

\textsf{Length of apothem (a)}=\dfrac{s}{2 \tan\left(\frac{180^{\circ}}{n}\right)}

where:

  • s = length of one side
  • n = number of sides

Given:

  • s = 11 in
  • n = 6

Substitute the given values into the formula and solve for a:

\implies \textsf{a}=\dfrac{11}{2 \tan\left(\frac{180^{\circ}}{6}\right)}=\dfrac{11\sqrt{3}}{2}

<u>Area of a Regular Polygon</u>

\textsf{A}=\dfrac{n\:s\:a}{2}

where:

  • n = number of sides
  • s = length of one side
  • a = apothem

Given:

  • n = 6
  • s = 11
  • \textsf{a}=\dfrac{11\sqrt{3}}{2}

Substitute the given values into the formula and solve for A:

\implies \sf A=\dfrac{6 \cdot 11 \cdot \dfrac{11\sqrt{3}}{2}}{2}

\implies \sf A=314.3672216...

\implies \sf A=314\:\:in^2\:\:(nearest\:whole\:number)

8 0
2 years ago
In math class, the ratio of boys to girls in the class is 12:8. What is the ratios of the total number of students to the number
julsineya [31]

20:12

i think. 20 being the number of total students to 12 which is the number of boys

5 0
3 years ago
The area of a rectangle may be determined by using the formula A = lw, where "A" stands for area, "l" stands for the length of t
JulsSmile [24]

Answer:

The area is 15 cm^2.

Step-by-step explanation:

Step 1: Start with the given formula.

Step 2: Then replace l and w with the given measures.

Step 3: Then do the calculation.

Step 1: A = lw

Step 2: A = (3 cm) * (5 cm)

Step 3: A = 15 cm^2

Answer: The area is 15 cm^2.

6 0
3 years ago
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