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3 years ago

Find the measure of angle A. 1 32 58

Mathematics

1 answer:

Vladimir79 [104]3 years ago

6 0

Answer:

The measure of angle A is 32 degrees

Step-by-step explanation:

The picture of the question in the attached figure

In the right triangle of the figure

The tangent of angle A is equal to

$tan(A)=\frac{5}{8}$ ----> by TOA (opposite side divided by the adjacent side)

Find the measure of angle A

using a calculator

$A=tan^{-1}(\frac{5}{8})=32^o$

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Bobby has already ran 1 mile on his own, and he expects to run 1 mile during each track practice. How many track practices would

german

Answer:

In order to have ran 33 miles, Bobby would have to attend 32 track practices.

Step-by-step explanation:

Solving this problem entails of uncovering the amount of track practices Bobby must attend in order to have ran 33 miles. Start by reading the problem carefully to break down the information provided.

You can see that Bobby has already ran one mile on his own. This is important to remember for later. The problem also states that he expects to run one mile at every track practice.

Setting up an equation will help us solve. Here is how we could set up the equation:

(amount of miles already ran = 1) + (number of track practices = x) = (total miles to run = 33)

1 + x = 33

The equation is now in place. You can solve this, or isolate 'x', by using the subtraction property of equality. This means we will subtract one from both sides of the equation, thus isolating the variable.

1 + x = 33

1 - 1 + x = 33 - 1

x = 32

The variable is the only term left on the left side of the equation. This means Bobby must attend track practice 32 times in order to have ran 33 miles.

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3 years ago

Dada la ecuacion 25x2 + 4y2 = 100, determina las coordenadas de los vertices, focos, las longitudes de los respectivos ejes mayo

Likurg_2 [28]

Answer:

The given equation is

$25x^{2} +4y^{2}=100$

Which represents an elipse.

To find its elements, we need to divide the equation by 100

$\frac{25x^{2} +4y^{2} }{100} =\frac{100}{100} \\\frac{x^{2} }{4} +\frac{y^{2} }{25} =1$

Where $a^{2} =25$ and $b^{2}=4$ . Remember that the greatest denominator is $a$ , and the least is $b$ . So, we extract the square root on each equation.

$a=5$ and $b=2$ .

In a elipse, we have a major axis and a minor axis. In this case, the major axis is vertical and the minor axis is horizontal, that means this is a vertical elipse.

The length of the major axis is $2a=2(5)=10$ .