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Lera25 [3.4K]
3 years ago
8

Find the acute angle

Mathematics
2 answers:
Elena-2011 [213]3 years ago
7 0

Answer: 22°

Step-by-step explanation:

As you can see in the figure, the triangle is a rigth triangle, which means that it has an angle that measures 90 degrees.

Then, you can calculate the acute angle asked in the problem as following:

arcsin\alpha=opposite/hypotenuse\\alpha=Q\\opposite)7\\hypotenuse=19

Then, you obtain  the following result:

arcsin\Q=7/19

Q=22\°

Scrat [10]3 years ago
5 0

Answer:

22°

Step-by-step explanation:

Since the triangle is right use the sine ratio

sinQ = \frac{opposite}{hypotenuse} = \frac{7}{19}, hence

Q = sin^{-1}(\frac{7}{19}) = 22° ( nearest degree )

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82x - 33 ✅

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3 0
2 years ago
Compare 4.5x10^6 and 2.1x10^8 explain how you can compare them
Roman55 [17]
4.5 x 10^6 = 4,500,000
2.1 x 10^8 = 210,000,000

Therefore, 4.5 x 10^6 < 2.1 x 10^8
8 0
3 years ago
Estimate the perimeter of the figure to the nearest whole number.
Paha777 [63]

Answer:

The perimeter (to the nearest integer) is 9.

Step-by-step explanation:

The upper half of this figure is a triangle with height 3 and base 6.  If we divide this vertically we get two congruent triangles of height 3 and base 3.  Using the Pythagorean Theorem we find the length of the diagonal of one of these small triangles:  (diagonal)^2 = 3^2 + 3^2, or (diagonal)^2 = 2*3^2.

Therefore the diagonal length is (diagonal) = 3√2, and thus the total length of the uppermost two sides of this figure is 6√2.

The lower half of the figure has the shape of a trapezoid.  Its base is 4.  Both to the left and to the right of the vertical centerline of this trapezoid is a triangle of base 1 and height 3; we need to find the length of the diagonal of one such triangle.  Using the Pythagorean Theorem, we get

(diagonal)^2 = 1^2 + 3^2, or 1 + 9, or 10.  Thus, the length of each diagonal is √10, and so two diagonals comes to 2√10.

Then the perimeter consists of the sum 2√10 + 4 + 6√2.

which, when done on a calculator, comes to 9.48.  We must round this off to the nearest whole number, obtaining the final result 9.

4 0
3 years ago
Can anyone help me with this question? &lt;3 please and thank you!
vazorg [7]

Answer: 3/2 I’m on something similar rn

Step-by-step explanation:

6 0
3 years ago
Using the numbers 5, 8, and 24, create a problem using no more than four operations (addition, subtraction, multiplication, divi
Oxana [17]

Answer:

There could be many answers to this problem, one being the √(24 x 5 - 8)

Step-by-step explanation:

Irrational numbers are classified as real numbers that are non-terminating and non-repeating decimals.  This means that the number will be a decimal that never ends and does not contain a pattern of any kind.  For example, a decimal that never ends is usually written as: 5.6789234...  This type of number is irrational because the decimal keeps going and shows no pattern of repetition. In the answer given, the value of (24 x 5 -8) is 112.  The square root of 112 is not a perfect square and thus you will get a non-terminating and non-repeated decimal as the final answer, thus making it irrational.

3 0
3 years ago
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