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vodomira [7]
3 years ago
15

What is the answer of this math problem

Mathematics
1 answer:
kiruha [24]3 years ago
7 0
I think it is m= 5/2 and 1/5
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Solve for x. Round to the nearest hundredth
PIT_PIT [208]

Given that the length of one leg is 6 and the angle is 40°

The hypotenuse is x.

We need to determine the value of x.

<u>Value of x:</u>

The value of x can be determined using the trigonometric ratio.

Thus, we have;

cos \ \theta=\frac{adj}{hyp}

Substituting the values, we get;

cos \ 45^{\circ}=\frac{6}{x}

Simplifying, we have;

x=\frac{6}{cos \ 45^{\circ}}

x=\frac{6}{0.766}

Dividing, we get;

x\approx7.83

Therefore, the value of x is 7.83(app.)

Hence, Option A is the correct answer.

3 0
3 years ago
Let G denote the centroid of triangle ABC. If triangle ABG is equilateral with side length 2, then determine the perimeter of tr
zhannawk [14.2K]
We know from Euclidean Geometry and the properties of a centroid that GC=2GM. Now GM=sin60*GA=\sqrt{3}. Hence CM=GC+GM=3*\sqrt{3} /. Now, since GM is normal to AB, we have by the pythagoeran theorem that:
AC^2=AM^2+GM^2=BM^2+GM^2=BC^2
Hence, we calculate from this that AC^2= 28, hence AC=2*\sqrt{7}=BC. Thus, the perimeter of the triangle is 2+4*\sqrt{7}.

3 0
3 years ago
The number of fish in a lake is decreasing by 400 every year, as described by the function below.
FrozenT [24]

Answer:

D: 7800

Can you give me brainliest :>

Step-by-step explanation:

3 0
2 years ago
What is the slope of the line below?
Dominik [7]
Up two over one so the slope is 2
5 0
3 years ago
Read 2 more answers
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
dezoksy [38]

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.

6 0
3 years ago
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