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AnnyKZ [126]
2 years ago
12

A model ship has a mast that is 7 inches tall. A right triangular sail goes from the top of the mast to 1 inch from the bottom o

f the mast. The length of the base of the sail is 4 inches. The height of the sail is along the mast

Mathematics
1 answer:
dezoksy [38]2 years ago
6 0

Answer:

12 square inches.

Step-by-step explanation:

Please consider the complete question.

A model ship has a mast that is 7 inches tall. A right triangular sail goes from the top of the mast to 1 inch from the bottom of the mast. The length of the base of the sail is 4 inches. The height of the sail is along the mast. Find the area of the sail.

The sail will form a right triangle with respect to mast, whose height is 6 inches and base is 4 inches as shown in the diagram.

The area of the sail will be equal to area of triangle.

\text{Area of triangle}=\frac{1}{2}(\text{Base}\times\text{Height})

\text{Area of triangle}=\frac{1}{2}(4\text{ in}\times6 \text{in})

\text{Area of triangle}=2\text{ in}\times 6 \text{in})

\text{Area of triangle}=12 \text{ in}^2

Therefore, the area of the sail is 12 square inches.

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Here are the values of the first 5 terms of 3 sequences: : 30, 40, 50, 60, 70, . . . : 0, 5, 15, 30, 50, . . . : 1, 2, 4, 8, 16,
Levart [38]

Answer:

1,2,4,8,16.

Step-by-step explanation:

they are a square root of 2 for each question. it will eventually get up higher then additive.

4 0
3 years ago
If you roll two fair six-sided dice, what is the probability that both dice show an odd number?
OLEGan [10]

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1/4

Step-by-step explanation:

Both dice have odd numbers 1, 3, 5. The chances of getting an odd number on each number is 3/6

The probability of getting odd numbers on both is:

3/6 ⋅ 3/6 = 9/36 = 1/4

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3 years ago
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If y=2x^2-5x-3 find the value of y if x= -1​
Gelneren [198K]

Answer:

y = 4

Step-by-step explanation:

First we want to raise -1 to the power of 2

y = 2 * 1 - 5 * -1 - 3

Multiply

2 - 5 * -1 - 3

Multiply

y = 2 + 5 - 3

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8 0
2 years ago
Which shape could be thought of as being created by stacking congruent polygons
Colt1911 [192]

When they talk about congruent polygons, they meant geometric figures that are all equal in shape and size.

It's angled, and the side length is equal too.

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If you stack squares, you'll have a cube.

If you stack octagons, you'll have an octagon prism.

7 0
3 years ago
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Discuss the continuity of the function on the closed interval.Function Intervalf(x) = 9 − x, x ≤ 09 + 12x, x > 0 [−4, 5]The f
quester [9]

Answer:

It is continuous since \lim_{x\to 0^{-}} = f(0) = \lim_{x \to 0^{+} f(x)

Step-by-step explanation:

We are given that the function is defined as follows f(x) = 9-x, x\leq 0 and f(x) = 9+12x, x>0 and we want to check the continuity in the interval [-4,5]. Note that this a piecewise function whose only critical point (that might be a candidate of a discontinuity)  x=0 since at this point is where the function "changes" of definition. Note that 9-x and 9+12x are polynomials that are continous over all \mathbb{R}. So F is continous in the intervals [-4,0) and (0,5]. To check if f(x) is continuous at 0, we must check that

\lim_{x\to 0^{-}} = f(0) = \lim_{x \to 0^{+} f(x) (this is the definition of continuity at x=0)

Note that if x=0, then f(x) = 9-x. So, f(0)=9. On the same time, note that

\lim_{x\to 0^{-}} f(x) = \lim_{x\to 0^{-}} 9-x = 9. This result is because the function 9-x is continous at x=0, so the left-hand limit is equal to the value of the function at 0.

Note that when x>0, we have that f(x) = 9+12x. In this case, we have that

\lim_{x\to 0^{+}} f(x) = \lim_{x\to 0^{+}} 9+12x = 9. As before, this result is because the function 9+12x is continous at x=0, so the right-hand limit is equal to the value of the function at 0.

Thus, \lim_{x\to 0^{-}} = f(0) = \lim_{x \to 0^{+} f(x)=9, so by definition, f is continuous at x=0, hence continuous over the interval [-4,5].

5 0
3 years ago
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