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valina [46]
3 years ago
8

MARK AS BRINLEST 7 + x = 21

Mathematics
2 answers:
zheka24 [161]3 years ago
3 0

Answer: 14

Step-by-step explanation:

21-7=14

Artist 52 [7]3 years ago
3 0

Answer:

14

Step-by-step explanation:7+x=21

7+7=14

14+7=21

x=14

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According to areport on consumer fraud and identity theft, 22% of all complaints during one year were for identity theft. In tha
gulaghasi [49]

Answer:

No, Alabama had a slightly higher proportion of identity theft than 22%.

Step-by-step explanation:

We need to find what percent 325 is of 1419.

To find what percent a part is of a whole, divide the part by the whole and multiply by 100.

325/1419 * 100% = 0.22903 * 100% = 23%

4 0
3 years ago
Find the area of the given triangle to the nearest square unit. Angle a= 30 degrees, b=10, angle B=45 degrees
storchak [24]

Answer:

A=34\ units^2

Step-by-step explanation:

Suppose we have a general triangle like the one shown in the figure.

We know the angle A, the angle B and the length b.

A = 30\°\\\\B = 45\°\\\\b = 10

By definition I know that the sum of the internal angles of a triangle is always equal to 180 °.

So

A + B + C = 180\\\\30 + 45 + C = 180

We solve the equation and thus we find the angle C.

C = 180 - 30-45\\\\C = 105

We already know the three triangle angles.

Now we use the sine theorem to calculate the sides c and a.

The  sine theorem says that:

\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}

Then

\frac{sin(30)}{a}=\frac{sin(45)}{10}

\frac{sin(30)}{\frac{sin(45)}{10}}=a

a=7.071

Also

\frac{sin(105)}{c}=\frac{sin(45)}{10}

\frac{sin(105)}{\frac{sin(45)}{10}}=c

c=13.660

Finally, we use the Heron formula to calculate the triangle area

A=\sqrt{s(s-a)(s-b)(s-c)}

Where s is:

s=\frac{a+b+c}{2}

Therefore

s=\frac{7.071+10+13.660}{2}

s=15.37

A=\sqrt{15.37(15.37-7.071)(15.37-10)(15.37-13.66)}

A=34\ units^2

3 0
3 years ago
What is the answer for 1/7(1,000)
12345 [234]
1/7(1000) = 1/7(7000/7)

1*7000
7*7

7000
49

1000
7

so 1/7(1000) = 1000/7 or 142 6/7
5 0
3 years ago
Read 2 more answers
The box shown is used to ship miniature dice with side lengths of
My name is Ann [436]
The answer to this is b
7 0
3 years ago
Read 2 more answers
Find the area of each regular polygon. Round your answer to the nearest tenth if necessary.
tatuchka [14]

*I am assuming that the hexagons in all questions are regular and the triangle in (24) is equilateral*

(21)

Area of a Regular Hexagon: \frac{3\sqrt{3}}{2}(side)^{2} = \frac{3\sqrt{3}}{2}*(\frac{20\sqrt{3} }{3} )^{2} =200\sqrt{3} square units

(22)

Similar to (21)

Area = 216\sqrt{3} square units

(23)

For this case, we will have to consider the relation between the side and inradius of the hexagon. Since, a hexagon is basically a combination of six equilateral triangles, the inradius of the hexagon is basically the altitude of one of the six equilateral triangles. The relation between altitude of an equilateral triangle and its side is given by:

altitude=\frac{\sqrt{3}}{2}*side

side = \frac{36}{\sqrt{3}}

Hence, area of the hexagon will be: 648\sqrt{3} square units

(24)

Given is the inradius of an equilateral triangle.

Inradius = \frac{\sqrt{3}}{6}*side

Substituting the value of inradius and calculating the length of the side of the equilateral triangle:

Side = 16 units

Area of equilateral triangle = \frac{\sqrt{3}}{4}*(side)^{2} = \frac{\sqrt{3}}{4}*256 = 64\sqrt{3} square units

4 0
3 years ago
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