Answer:
The entire area of the sailboat is 60cm²
Step-by-step explanation:
You can find the area of this shape by breaking it down into simpler shapes and adding up their individual areas.
In this case, the areas we'll use are the rectangle at the bottom, and the pair of triangles at the top.
Because the two triangles can be put together to form a single triangle, we don't need to measure them independently. We can simply take the total length of their bases, multiply it by their height, and divide by two. This follows the rule that the area of a triangle is equal to the area of the square that contains it divided by two.
(2cm + 3cm) × 6cm
= 5cm × 6cm
= 30cm²
The rectangle's area is of course equal to its width times its height, so we can say:
2.5cm × 12cm
= 30cm²
The total area of the shapes then is 30cm² + 30 cm², giving us a total area of 60cm²
The point where the lines intersect is the point that satisfies both equations.
It is (1, 5), selection C.
Answer:
d=.5
Step-by-step explanation:
Subtract 1/3 from 5/6 and you will get your answer which is .5
The first step for solving this expression is to insert what a and b stand for into the expression. This will change the expression to the following:
2(2)(4)³ + 6(2)³ - 4(2)(4)²
Now we can start solving this by factoring the expression
2(2 × 4³ + 3 × 2³ - 4 × 4²)
Write 4³ in exponential form with a base of 2.
2(2 ×

+ 3 × 2³ - 4 × 4²)
Calculate the product of -4 × 4².
2(2 ×

+ 3 × 2³ -4³)
Now write 4³ in exponential form with a base of 2.
2(2 ×

+ 3 × 2³ -

)
Collect the like terms with a base of 2.
2(

+ 3 × 2³)
Evaluate the power of 2³.
2(

+ 3 × 8)
Evaluate the power of

.
2(64 + 3 × 8)
Multiply the numbers.
2(64 + 24)
Add the numbers in the parenthesis.
2 × 88
Multiply the numbers together to find your final answer.
176
This means that the correct answer to your question is option A.
Let me know if you have any further questions.
:)
Answer:
Step-by-step explanation:
The ratio of boys to girls is
7
:
11
, and there are
49
boys, so therefore there are
49
7
⋅
11
=
77
girls
Total number of boys and girls in the classroom is
77
+
49
=
126
.