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ladessa [460]
3 years ago
7

Find the value of major arc ABC.

Mathematics
1 answer:
marishachu [46]3 years ago
4 0
ABC=140
because 180-40=140
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Round your answer to the nearest hundredth LA
m_a_m_a [10]

Answer:

Step-by-step explanation:

Since this is a right triangle, we will use a right triangle trig identity to solve our problem. The side opposite the reference angle A is given as 5, and the side adjacent to the reference angle is given as 7. The trig ratio that uses the sides opposite and adjacent is the tangent ratio:

tanA=\frac{5}{7}

Hit the 2nd button on your calculator then the tan button which displays:

tan^{-1}(

Enter 5/7 after that open parenthesis and hit = to get that

A = 35.54°

8 0
3 years ago
How many kilograms of a 5% salt solution and how many kilograms of a 15% salt solution must be mixed together to make 45kg of an
JulsSmile [24]

Answer:

31.5 kilograms of a 5% salt solution and 13.5 kilograms of a 15% salt solution must be mixed together to make 45kg of an 8% salt solution .

Step-by-step explanation:

Let us assume that the number of kilograms of a 5% salt solution used be x .

Let us assume that the number of kilograms of a 15% salt solution used be y .

As given

A 5% salt solution and 15% salt solution must be mixed together to make 45kg of an 8% salt solution .

Equation becomes

x + y = 45

5% is written in the decimal form .

= \frac{5}{100}

= 0.05

15% is written in the decimal form .

= \frac{15}{100}

= 0.15

8% is written in the decimal form .

= \frac{8}{100}

= 0.08

Thus

Concentration of 5% salt solution × Number of kilograms of 5% salt solution used + Concentration of 15% salt solution × Number of kilograms of  15% solution used = Concentration of 8% salt solution × Number of kilograms of 8% salt solution

Thus

0.05x + 0.15y = 0.08 × 45

Simplify the above

\frac{5x}{100} + \frac{15y}{100} = \frac{8\times 45}{100}

5x + 15y = 360

Thus two equations becomes

x + y = 45

5x + 15y = 360

Multiply x + y = 45 by 5 and subtracted from 5x + 15y = 360 .

5x - 5x + 15y - 5y = 360 - 225

10y = 135

y = \frac{135}{10}

y = 13.5 kilograms

Put value of y in the equation

x + 13.5 = 45

x = 45 - 13.5

x = 31.5 kilograms

Therefore the 31.5 kilograms of a 5% salt solution and 13.5 kilograms of a 15% salt solution must be mixed together to make 45kg of an 8% salt solution .

5 0
3 years ago
If two angles in a triangle are 40° and 30°, then the third angle measures 110
Aliun [14]

Answer:

Si

Step-by-step explanation:

4 0
3 years ago
Points S, L, and P on this grid represent the locations of the school, the library, and the park
Vlad [161]

The distance, in units, from the school to the library and then the distance from the library to the park is 15 units.

<h3>What is the length of any line on the graph?</h3>

The distance or length of any line on the graph,

D = √{(x₂ - x₁)² + (y₂ - y₁)²}

where,

d = distance/length of the line between point 1 and 2,

(x₁ , y₁) = coordinate of point 1,

(x₂ , y₂) = coordinate of point 2,

The distance from school to the library is SL, therefore,

\rm SL = \sqrt{(4-0)^2 + (1-4)^2} = 5\ units

The distance from library to the park is LP, therefore,

\rm LP = \sqrt{(-4-4)^2 + (-5-1)^2} = 10\ units

Now, the distance, in units, from the school to the library and then the distance from the library to the park is 15 units (10 units + 5 units).

Learn more about the Length of the line:

brainly.com/question/16904935

#SPJ1

4 0
2 years ago
Tan Please help I’m on a time limit
Leto [7]

Answer:

8/15

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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