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3 years ago

Solve for a side in right triangles. Make sure to round your answer to the nearest hundredth

Mathematics

1 answer:

DochEvi [55]3 years ago

5 0

Answer:

tan(20) = 4 / x

tan(20)x = 4

x = 4 / tan(20)

x = 10.99 units

Step-by-step explanation:

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Expanding logarithmic Expression In Exercise,Use the properties of logarithms to rewrite the expression as a sum,difference,or m

wel

Answer:

$\frac{1}{2}ln(2x)-\frac{1}{2}ln(x^2-1)$

Step-by-step explanation:

In 2x/(x^2 - 1)1/2

$ln(\frac{2x}{x^2-1} )^\frac{1}{2}$

Apply the property of natural log

ln x^m = m ln(x) move the exponent before ln

$ln(\frac{2x}{x^2-1} )^\frac{1}{2}$

$\frac{1}{2}ln(\frac{2x}{x^2-1})$

ln(m/n)= ln m - ln n

$\frac{1}{2}(ln(2x)-ln(x^2-1))$

multiply 1/2 inside the terms

$\frac{1}{2}ln(2x)-\frac{1}{2}ln(x^2-1)$

6 0

3 years ago

Write the expression as a square of a binomial: 0.01x^4+y^2–0.2x^2y ^=square

serious [3.7K]

$0.01x^4+y^2-0.2x^2y=\\\\= 0.01x^4-0.2x^2y+y^2 =\\\\=\Big(0.1x^2\Big)^2-2\cdot0.1x^2\cdot y+\Big(y\Big)^2=\\\\=\boxed{\bf \Big(0.1x^2-y\Big)^2}$

7 0

4 years ago

Read 2 more answers

(11x – 6x2 – 8)/(3x – 1)

kozerog [31]

Answer:

46.6

Step-by-step explanation:

have a good day

6 0

3 years ago

I need help with those two questions

qaws [65]

9) It helps to draw a picture. Since one angle is 60°, the other angle is 120°. When you draw the ddiagonal lines, you will see that you end up with a 30°-60°-90° triangle where √3 is the hypotenuse. The longest diagonal will be across from the 60° angle, which will be length a√3. The length of the hypotenuse is 2a. (Remember: a, a√3, 2a are lengths for this special triangle)
2a = √3 → a = √3/2.
side across from 60° = a√3 = (√3/2)·√3 → side from across 60° = 3/2
Remember that this is only one-half of the diagonal of the rhombus so multiply that by 2.
Length of longest diagonal is 3.

10) Volume of a square pyramid = (1/3) B · h, where B is the area of the base
200 = (1/3)B(12)
50 = B
Since the base is a square, then each side is √50 (which equals 5√2).

Now, to find the lateral edge, use Pythagorean Theorem (a² + b² = c²).
Height (a) = 12, base (b) = 5√2, and lateral edge (c) is unknown.

(12)² + (5√2)² = c²
144 +   50   = c²
   194    = c²
   √194    = c

Lateral edge is √194.

3 0

3 years ago

Help please with this math ;-; I beg of you

RSB [31]

Answer:

49 - 9π

Step-by-step explanation:

Area of white portion = area of triangle - area of circle

To find the area of the triangle:

The area of a triangle can be calculated using this formula

$A=\frac{bh}{2}$ where b = base length and h = height