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3 years ago

What is the measure of angle A to the nearest degree?

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

5 0

There are several ways to find the angle at A.

One is to realize the bisector of angle A will make a right angle with BC, creating two congruent triangles with short leg 2 and hypotenuse 7. Then the sine of the half-angle at A will be 2/7, so
A = 2*arcsin(2/7)
A ≈ 2*16.6015° = 33.203°

The measure of the angle at A to the nearest degree is
33°

_____
Another way to find the angle is to use the Law of Cosines. After solving for the angle (A) in terms of sides a, b, c, you find
A = arccos((b²+c²-a²)/(2bc)) = arccos(7²+7²-4²)/(2*7*7))
A = arccos(82/98) ≈ 33°

And you can always use a triangle solver application.

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In the figure above if PQRS is a square, what is the value of a?

yanalaym [24]

Answer:

sino me quivoco es 1/53 espero aber ayudado

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2 years ago

Select the correct interpretation of the probability of getting an 11 when a pair of dice is rolled. Interpret an event as signi

JulijaS [17]

Answer:

1/18

Step-by-step explanation:

We are considering that we have 2 dices with 6 faces each (so, the probability to gettig any face in any dish is 1/6). To get an 11, we only have two ways to obtain it:

Dice 1= 6 and Dice 2 =5

Dice 1= 5 and Dice 2 =6

So, the probability of the event is given as:

P(Dice1=5 ∧ Dice2=6) ∪ P(Dice1=6 ∧ Dice2=5) = P(Dice1=5) x P(Dice2=6) + P(Dice1=6) x P(Dice2=5) = 1/6 x 1/6 + 1/6 x 1/6 = 1/36 + 1/36 = 2/36 = 1/18.

As 1/18 = 0,055, and 0,055 > 0,05, we consider the event as not significative (according to the definition of significance in the sentence).

7 0

3 years ago

Read 2 more answers

A cube has a volume of 64. What is the length of one side of the cube?

bearhunter [10]

Answer:

Step-by-step explanation:

The volume of a cube can be represented as s^3 = v, where s = side and v = volume. In this case, we're given the volume as 64, so s^3 = 64. To solve this problem, we first have to know what a cube root is.

What's a cube root?

The cube root of a number is the number you multiply by itself 3 times to get another number.
One common cube is 27, and the cube root of it is 3 because 3 x 3 x 3 = 27.

Given the information above, let's go in order with the list of cube roots to see which one has a cube of 64.

1: 1 x 1 x 1 = 1.
2: 2 x 2 x 2 = 8.
3: 3 x 3 x 3 = 27.
4: 4 x 4 x 4 = 64. (This is the cube root!)

We found the cube root of 64, or the side of the cube with a volume of 64. The side of the cube, therefore, is 4.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

3 0

2 years ago

The hours of daylight,y, in Utica in days, x, from January 1, 2013 can be modeled by the equation y=3.06sin(0.017x-1.40) + 12.23

defon

The month of January has 31 days, so from January 1st to February 14th, there are 31 + 14 or 45 days, namely x = 45.

y = 3.06 * sin[ 0.017(45) - 1.40 ] + 12.23.

make sure your calculator is in Degree mode.

8 0

3 years ago

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A new mixture of self-tanning & moisturizing lotions for everyday use is being developed. This mixture is made by mixing 70

777dan777 [17]

Answer:

450 ounces

Step-by-step explanation:

We know that the cost of the mixture $C_m$ must be the cost of the everyday moisturizing lotion $C_e$ plus the cost of the self-tanning lotion $C_s$ , which means $C_m=C_e+C_s$ .

The cost of any substance will be the cost per ounce of the substance (c), multiplied by the number of ounces (n), which means C=nc, so we have from the previous formula that we have:

$n_m c_m=n_e c_e + n_s c_s$

But we also know that the number of ounces of the mixture must be the sum of the number of ounces of the everyday moisturizing lotion with the number of ounces of the self-tanning lotion, so we have

$n_e c_e + n_s c_s=n_m c_m=(n_e+n_s) c_m=n_e c_m+n_s c_m$