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Stells [14]
3 years ago
15

Jordon will play a triangle at his school’s music program. As its name suggests, the musical instrument is shaped like a triangl

e. Jordon has customized the dimensions to produce a unique melody, which is played when the shortest side is hanging down, parallel to the ground. Which side of the musical instrument should be parallel to the ground if its dimensions are as shown in the diagram?
a triangle where m?A = 59°, m?B is unknown, and m?C = 57°
Mathematics
1 answer:
guajiro [1.7K]3 years ago
8 0

Answer:

The side opposite angle C

Step-by-step explanation:

The angles of a triangle must add up to equal 180°. So 180=59+57+x

180=116+x

x=64°

In a triangle the smallest side is always opposite the smallest angle

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Divide. Give the exact answer, written as a decimal.
anygoal [31]

Answer:

11.9440

Step-by-step explanation:

long division

5 0
3 years ago
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2. At a particular snack stand, each dill pickle has 65 calories and each bag of
Naddika [18.5K]

Answer:

5 pickles and 1.4 bags of popcorn

Step-by-step explanation:

5x 65= 375

695 - 375= 370

370 ÷ 250 = 1.4

6 0
2 years ago
Assume that a company sold 5.75 million motorcycles and 3.5 million cars in the year 2010. The growth in the sale of motorcycles
OverLord2011 [107]

Answer:

Final answer is approx 6.644 years.

Step-by-step explanation:

Given that a company sold 5.75 million motorcycles and 3.5 million cars in the year 2010. The growth in the sale of motorcycles is 16% every year and that of cars is 25% every year.

So we can use growth formula:

A=P\left(1+r\right)^t

Then we get equation for motorcycles and cars as:

A=5.75\left(1+0.16\right)^t

A=3.5\left(1+0.25\right)^t

Now we need to find about when the sale of cars will be more than the sale of motorcycles. So we get:

3.5\left(1+0.25\right)^t>5.75\left(1+0.16\right)^t

3.5\left(1.25\right)^t>5.75\left(1.16\right)^t

3.5\left(1.25\right)^t>5.75\left(1.16\right)^t

\frac{\left(1.25\right)^t}{\left(1.16\right)^t}>\frac{5.75}{3.5}

\left(\frac{1.25}{1.16}\right)^t>1.64285714286

t\cdot\ln\left(\frac{1.25}{1.16}\right)>\ln\left(1.64285714286\right)

t>\frac{\ln\left(1.64285714286\right)}{\ln\left(\frac{1.25}{1.16}\right)}

t>6.6436473051

Hence final answer is approx 6.644 years.

7 0
3 years ago
In angle abcd if b=50 find the other angles ​
Tom [10]

Answer:

angel abcd is not possible

4 0
3 years ago
Read 2 more answers
Can someone please help
Vsevolod [243]

It may be convenient here to write the equation of the line as

... ∆y(x -x0) -∆x(y -y0) = 0

where (x0, y0) is a point on the line, and (∆x, ∆y) is the difference between two points on the line.

Using the first two points, we have

... (∆x, ∆y) = (-9, 10) - (-15, 5) = (6, 5)

So, the equation of the line is

... 5(x +9) -6(y -10) = 0 . . . . . . using the point (x0, y0) = (-9, 10)

... 5x -6y = -105 . . . . . . . . . . . simplify to standard form

Now, dividing by the constant on the right, we can put this into intercept form

... x/(-21) +y/(17.5) = 1

This tells us the y-intercept is (0, 17.5) and the x-intercept is (-21, 0).

_____

You can work directly with the values in the table. The y-value increases by 5 from one line to another, while the x-value increases by 6. Thus, to make the y-value decrease by 5 from the first point, we need to decrease that point's x-value by 6 to -21. That is, the x-intercept is (-21, 0).

Similarly, the x-value need to increase by only 3 from the last point. That amounts to half of the usual increase of 6. Thus the y-intercept will be the last point plus have the usual y-increase of 5, or 15+2.5 = 17.5. That is, the y-intercept is (0, 17.5).

5 0
3 years ago
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