The dividend of the given expression above is,
3d² + 2d - 29
and its divisor is equal to d+3. The steps in the long division are written below.
1. First, divide the first term of the dividend (3d²) by first term of the divisor (d). This gives us 3d.
2. Next, multiply the answer, 3d, by the divisor (d+3). This gives us 3d² + 9d.
3. Then, subtract the answer, 3d² + 9d from the dividend, 3d²+2d-29. This gives us,
-7d - 29
4. Next, divide the first term of -7d by the first term of the divisor, d. This gives us the answer of -7.
5. Next, multiply the answer, -7, by the divisor, d+3. This gives us -7d-29
6. Then, subtract the answer in step 5 from the answer in step 3. This gives us,
-7d-29 - (-7d-39) = 0
7. Combining the answer in steps 1 and 4 for the final answer will give us the answer of
3d-7
<em>Answer: 3d-7</em>
Answer: option A:12.
Explanation:
Since, rolling a die and tossing a coin are independent events, the sample space of both events is the product of the outcomes for each event, i.e 6 × 2 = 12.
You can check that here:
roll a die toss a coin
1 head
1 tail
2 head
2 tail
3 head
3 tail
4 head
4 tail
5 head
5 tail
6 head
6 tail
So, as you see for each outcome of the event roll a die there are two different possible different outcomes for the event toss a coin; since there are 6 different outcomes for the die, the total number of possibilities is 6 × 2 = 12
2x + (10x+24) = 180
12x+24 = 180
12x = 156
x = 13
answer x is 13
<h2>
Area of Composite Shapes</h2>
To find the area of composite shapes, we can break the bigger shape down into small, simpler shapes, and find the sum of their areas.
For this triangle, we will need to know the formula to find the area of a triangle:
<h2>Solving the Question</h2>
The given shape can be seen as one large triangle with a little triangle cut out of it. To find the shaded region, we can:
- Find the area of the large triangle
- Find the area of the little triangle
- Subtract the area of the little triangle from the large triangle
<h3>Area of the Large Triangle</h3>
⇒ Plug in the values given for the base and height:
<h3>Area of the Small Triangle</h3>
⇒ Plug in the values given for the base and height:
<h3>Subtract the Area of the Small Triangle from the Area of the Large Triangle</h3>
<h2>Answer</h2>
The area of the shaded region is 
.
