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PIT_PIT [208]
3 years ago
11

The flag of a country contains an isosceles triangle.​ (Recall that an isosceles triangle contains two angles with the same​ mea

sure.) If the measure of the third angle of the triangle is 40​° more than three times the measure of either of the other two​ angles, find the measure of each angle of the triangle.​ (Recall that the sum of the measures of the angles of a triangle is​ 180°.)
Mathematics
1 answer:
Mrac [35]3 years ago
5 0
Let us start with the unknown. Let us give one of the base angles the value of x. The other base angle is also x since both the base angles in an isosceles triangle will be equal. The remaining angle is 40 more than three times one of the base angles.It is 3x + 40. Here we get the equation

x+x+3x+40=180

5x + 40 = 180

5x = 180 - 40 = 140

Therefore x = 140/5 = 28

So the angles are 28, 28 and 124.

The third angle is 3 times 28 + 40 = 84 + 40 = 124.
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What is the area of the circle?
Bumek [7]

Answer:

363

Step-by-step explanation:

Formula for area of a circle

A = πr^2

Where r = radius

The circle has a given radius of 11

To find the area of the circle we simply substitute r in the formula with the value of the radius (11)

( Also note that the question says to use 3 for π )

A = πr^2

π = 3

r = 11

Substitute values in formula

A = (3)(11)^2

11^2 = 121

A = 121(3)

121(3) = 363

A = 363

8 0
3 years ago
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The 8% sales tax was $3.88. What was the price of the game before tax?
tatuchka [14]

Answer:

$3.57

Step-by-step explanation:

8 0
3 years ago
Use summation notation to write the series 49 + 54 + 59 +... for 14 terms.
My name is Ann [436]

Answer:

Arithmetic sequence states that a sequence of numbers such that the difference between the consecutive terms is constant.

it is given by:  a_n = a+(n-1)d where a is the first term , n is the number of term and d is the common difference.

Given the series: 49 + 54 + 59+ ......

here, Common difference(d) = 5

First term(a) = 49

by definition we have;

For nth term

a_n = a+(n-1)d

a_n = 49+(n-1)5

a_n =49+5n -5 = 5n + 44

To write the series using summation notation for 14 terms

Summation symbol '\sum'

The series for 14th terms is given by;

\sum_{n=1}^{14}(5n +44)


5 0
3 years ago
Read 2 more answers
If f(x)=4x-6 and g(x) =2x find f(x) •g(x)
slavikrds [6]
This is same as (4x-6)(2x), so you can distribute 2x into 4x-6 and you would get
(2x)4x - (2x)6 = 8x² - 12x

Final answer: 8x² - 12x

Hope this helps.
5 0
2 years ago
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Will give brainliest please help ASAP
marissa [1.9K]

Answer: 1) If we talk about whole numbers then we should choose only square numbers that could be the area of square so that if we want to find its  side so we a can find its square root i.e. side.

2) We can find the square root of the area of the given square to find the side length of the square.

3) No , it is not possible to find a side length that would be perfect for a square with an area of 45 square units because if we find its side we need to find its square root i.e.

side=\sqrt{45}=\sqrt{3\times3\times5}=3 \sqrt{5}................>which is irrational and √5=2.236

∴side=3×2.236=6.708 unit ......> which is not accurate we need to take approx value of it to get the side length of the square.



7 0
2 years ago
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