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2 years ago

Find the size of the angle using Sohcahtoa or Pythagoras.

Mathematics

1 answer:

lisov135 [29]2 years ago

6 0

Answer:

x ≈ 38.7°

Step-by-step explanation:

Using the sine ratio in the right triangle

sinx = $\frac{opposite}{hypotenuse}$ = $\frac{5}{8}$ , then

x = $sin^{-1}$ ( $\frac{5}{8}$ ) ≈ 38.7° ( to 1 dec. place )

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PLEASE HELP VERY OVERDUE No links!!

Marina86 [1]

Answer: Larissa

Explanation:

Fraction:

Ellen: 2/4

Larissa: 12/16 = 3/4

Because 3/4 > 2/4 => Larissa > Ellen => Larissa = most successful

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2 years ago

Suppose line segment AB has one endpoint at A(0, 0). What are the coordinates of B if (5, 3) is 1/3 of the way from A to B?

prisoha [69]

Answer:

$B(x_2,y_2)= (20,12)$

Step-by-step explanation:

Given

$A = (0,0)$

$Ratio; m : n = 1 : 3$

$Point\ at\ 1 : 3 = (5,3)$

Required

Coordinates of B

This question will be answered using line ratio formula;

$(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$

In this case:

$(x,y) = (5,3)$

$(x_1,y_1) = (0,0)$

$m : n = 1 : 3$

Solving for $(x_2,y_2)$

$(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$ becomes

$(5,3) = (\frac{1 * x_2 + 3 * 0}{1 + 3},\frac{1 * y_2 + 3 * 0}{1 + 3})$

$(5,3) = (\frac{x_2 + 0}{4},\frac{y_2 + 0}{4})$

$(5,3) = (\frac{x_2}{4},\frac{y_2}{4})$

Comparing the right hand side to the left;

$\frac{x_2}{4} = 5$ -- (1)

$\frac{y_2}{4} = 3$ -- (2)

Solving (1)

$x_2 = 5 * 4$

$x_2 = 20$

Solving (2)

$y_2 = 3 * 4$

$y_2 = 12$

Hence;

$B(x_2,y_2)= (20,12)$

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3 years ago

A particular automatic sprinkler system has two different types of activation devices for each 3 sprinkler head. One type has a

zmey [24]

Answer:

There is an 85% probability that the sprinkler head will be activated.

Step-by-step explanation:

We have these following probabilities:

50% of the first sprinkler being triggered

90% of the first sprinkler being reliable

50% of the second sprinkler being triggered

80% of the second sprinkler being reliable.

What is the probability that the sprinkler head will be activated?

$P = P_{1} + P_{2}$

$P_{1}$ is the probability of the first sprinkler being triggered and activated. So:

$P_{1} = 0.5*0.9 = 0.45$

$P_{2}$ is the probability of the second sprinkler being triggered and activated. So:

$P_{2} = 0.5*0.8 = 0.40$

$P = P_{1} + P_{2} = 0.40 + 0.45 = 0.85$

There is an 85% probability that the sprinkler head will be activated.

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3 years ago

Find the variable 6x-8=34

GenaCL600 [577]

x is the variable

In mathematics, a variable is a symbol; in this case, X.

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3 years ago

How to learn math faster?

Tom [10]

How to Learn Math Fast?

Step-by-step explanation:

∆ Engage With the Subject. ...

∆ Start From the Basics. ...

∆ Develop Number Sense Rather Than ∆ Memorizing. ...

∆ Have a Goal in Mind. ...

∆ Answering Practice Questions Is Crucial. ...

∆ Keep Track of Math Vocabulary. ...

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∆ Master Problem Solving.

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3 years ago