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marissa [1.9K]
3 years ago
5

Considere um triângulo retângulo, cujos ângulos agudos a e b satisfazem à condição cos a = 0,8 e cos b = 0,6 Determine a área de

sse triângulo, em cm² sabendo que o comprimento da hipotenusa é 5 cm.
Mathematics
1 answer:
Anni [7]3 years ago
7 0

Answer:

7.5 cm^2

Step-by-step explanation:

Aqui, temos Cos A = 0,8 = 8/10 = 4/5.

Cos B = 0,6 = 6/10 = 3/5.

O que isto significa é que os dois outros lados do triângulo retângulo são 3 cm e 5 cm, respectivamente.

Isso ocorre porque, o oposto do ângulo agudo A é adjacente ao ângulo agudo B e vice-versa.

Portanto, a partir dos valores de ambos, podemos obter os dois outros lados.

Matematicamente, a área da direita é 1/2 * b * h b e h são 3 e 5, respectivamente.

Assim, área = 1/2 * 3 * 5 = 7,5 cm ^ 2

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In Lucille’s class, 35% of the students have blond hair. There are 20 students in the class. How many students have blond hair.
MrRissso [65]

Answer:

7 the answer is 7

Step-by-step explanation:

1. We assume, that the number 20 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 20 is 100%, so we can write it down as 20=100%.

4. We know, that x is 35% of the output value, so we can write it down as x=35%.

5. Now we have two simple equations:

1) 20=100%

2) x=35%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

20/x=100%/35%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 35% of 20

20/x=100/35

(20/x)*x=(100/35)*x       -

20=2.85714285714*x       -

20/2.85714285714=x

7=x

x=7

now we have:

35% of 20=7

we multiply both sides by x

then we divide both sides by 2.85714285714 to get x

3 0
3 years ago
Read 2 more answers
Plzz help thank you!!!
Stolb23 [73]
I think the answer would be 78 ... I could be wrong tho
7 0
3 years ago
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In a batch of 890 calculators, 12 were found to be defective. What is the probability that a calculator chosen at random will be
scoray [572]

Answer:

<em>1.3%</em>

When entered into a calculator, 12/890 (the chance of a given calculator being defective) = 0.01348...

As a percent this is 100*0.01348% = 1.348%, and to the nearest tenth, 1.3%

3 0
3 years ago
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Which equation represents a line that is perpendicular to line PQ?
valentinak56 [21]

Answer:

B. y=1/3x+4

Step-by-step explanation:

Hi there!

We are given the line PQ and we want to find the line that is perpendicular to it

Perpendicular lines have slopes that are negative and reciprocal. When they are multiplied together, the result is -1

So first, let's find the slope of the line PQ

The point P is given as (-8, 7) and the point Q is given as (-4, -5)

The formula for the slope calculated from two points is \frac{y_2-y_1}{x_2-x_1} where (x_{1} y_1) and (x_2, y_2) are points

We have the needed information for the slope, but let's label the values of the points to avoid any confusion

x1=-8

y1=7

x2=-4

y2=-5

Now substitute into the formula (m is the slope, and remember: the formula contains SUBTRACTION):

m=\frac{(-5-7)}{(-4--8)}

simplify

m=\frac{-5-7}{-4+8}

add

m=-12/4

divide

m=-3

So the slope of the line PQ is -3

As said above, perpendicular lines have slopes that have a product of -1

So to find the slope of the line perpendicular to PQ, use this formula:

-3m=-1

divide both sides by -3

m=1/3

The only line that has a slope of 1/3 is B (y=1/3x+4), so B is the answer.

Hope this helps!

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9.6.6. The pawn shop business model. On April 9, 2011 The New York Times reported on a pawn shop that opened in an ex-Blockbuste
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The lends money would be 340
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