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3 years ago

Could someone please help me with this

Mathematics

1 answer:

makvit [3.9K]3 years ago

5 0

Answer:

4√3 cm^2

Step-by-step explanation:

30 60 90 right triangle

The ratio of short leg : long leg : hypo. = x : x√3 :2x

Given Hypo BC = 4 = 2 * 2

so Long leg = 2√3

Area of ABC = 1/2 (b)(h)

= 1/2 (4)(2√3)

= 4√3

Answer

4√3 cm^2

Perimeter = 3 x 4 = 12 cm (you asked from other, so I answered for you as well)

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Which of the following give the highest future value is 6000000 is invested at 6% for 3 years

Blababa [14]

Answer:

$5084745.76271

Step-by-step explanation:

Given data

Final amount= $6000000

Rate=6%

Time= 3 years

Now let us find the initial amount which is the principal

using the simple interest formula we have

6000000 = P(1+0.06*3)

6000000 =P(1+0.18)

6000000 =P*1.18

P= 6000000 /1.18

P=$5084745.76271

Hence the initial deposite is $5084745.76271

3 0

3 years ago

Imagine you are responsible for writing an advice column about mathematics. The following question is submitted to your column:

marissa [1.9K]

Explanation:

There are two different formulas that are useful with the given information:

Area = (1/2)ab·sin(C)

Area = √(s(s-a)(s-b)(s-c)) . . . where s=(a+b+c)/2

It does not matter which sides are designated a, b, and c. Angle C will be opposite side c.

The third angle can be computed based on the fact that the sum of angles in a triangle is 180°. It will be 180° -32° -28° = 120°. The least-to-greatest order of the angles is the same as the least-to-greatest order of the length of the opposite side. So, we might have ...

a = 7, A = 28°
b = 8, B = 32°
c = 13, C = 120°

Utilizing the first formula, the area is ...

Area = (1/2)(7)(8)sin(120°) = 14√3 ≈ 24.249 . . . square units

Utilizing the second formula, the area is ...

s = (7+8+13)/2 = 14

Area = √(14(14-7)(14-8)(14-13)) = 14√3 ≈ 24.249 . . . square units

For the answer to be complete, it should be noted that using either of the other two angles will give different results for the area. That is because those angles are not exact values, but are rounded to the nearest degree. Using the first formula with the different angles, we get ...

area = (1/2)(8)(13)sin(28°) ≈ 24.413 . . . square units
area = (1/2)(7)(13)sin(32°) ≈ 24.111 . . . square units

The first of these answers is a little high because 28° is a little more than the actual value of the angle. Likewise, the second of these answers is a little low because 32° is slightly smaller than the actual angle.

In short, the most accurate information available should be used if the answer is to be the most accurate possible. If the angles are exact, then their values should be used. If the side measures are exact, then their values should be used. In general, it will be easier to make accurate measurements of the side lengths than to make accurate angle measurements.

7 0

3 years ago

jennifer has a taco stand. she has found that her daily costs can be modeled by c(x)=x^2-40x+610, where c(x) is the cost, in dol

Minchanka [31]

C(x) = 300.

Our question becomes simple: 300 = x^2-40x+610

x^2-40x+610-300 = 0
x^2-40x+310 = 0

Now find the value for x with either the quadratic formula or by factorization.

Let me know how it goes. Giving the full answer won’t help you improve

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3 years ago

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a chef buys 5.46 pounds of ground turkey to make some casseroles. Each casserole requires 0.13 pound of turkey. How many cassero

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The chef can make 42 casseroles no remainder

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3 years ago

A certain plant grows 134 inches every week. How long will it take the plant to grow 714 inches?

Bond [772]

The information we know:

1 week = 134 inches