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prohojiy [21]
3 years ago
9

Find the length of the missing side of the triangle

Mathematics
1 answer:
DENIUS [597]3 years ago
7 0
It is a right triangle, so we can use pythagorean theorem which states

a^2 + b^2 = c^2

Leg^2 + Leg^2 = Hypotenuse^2

9^2 + x^2 = 15^2

81 + x^2 = 225

x^2 = 144

x=12
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Which of the following trigonometric inequalities has no solution over the interval 0 ≤ x ≤ 2pi radians?
valentinak56 [21]

Answer:

A .cos(x)<1

Step-by-step explanation:

According to the first inequality

cos(x)<1

x < arccos 1

x<0

This therefore does not have a solution within the range 0 ≤ x ≤ 2pi

x cannot be leas than 0. According to the range not value, 0≤x which is equivalent to x≥0. Thus means otvis either x = 0 or x> 0.

For the second option

.cos(x/2)<1

x/2< arccos1

x/2<0

x<0

This inequality also has solution within the range 0 ≤ x ≤ 2pi since 0 falls within the range of values.

For the inequality csc(x)<1

1/sin(x) < 1

1< sin(x)

sinx>1

x>arcsin1

x>90°

x>π/2

This inequality also has solution within the range 0 ≤ x ≤ 2pi since π/2 falls within the range of values

For the inequality csc(x/2)<1

1/sin(x/2) < 1

1< sin(x/2)

sin(x/2)> 1

x/2 > arcsin1

X/2 > 90°

x>180°

x>π

This value of x also has a solution within the range.

Therefore option A is the only inequality that does not have a solution with the range.

6 0
4 years ago
Carlos has scored 83, 65, and 94 on his previous three tests. What score does he need on his next test so that his average (mean
Brilliant_brown [7]

Answer:

  • Carlos need to score 95

Step-by-step explanation:

<u>Let the score is x. The average is:</u>

  • (83 + 56 + 94 + x)/4 = 82
  • x + 233 = 4*82
  • x = 328 - 233
  • x = 95
8 0
3 years ago
If the radius of the circle is multiplied by a factor of 3, then the area of the circle is multiplied by a factor of
Oksi-84 [34.3K]
\bf \textit{area of a circle}\\\\&#10;A=\pi r^2\quad &#10;\begin{cases}&#10;r=radius\\&#10;-----\\&#10;r=\stackrel{r\times 3}{3r}&#10;\end{cases}\implies A=\pi (3r)^2&#10;\\\\\\&#10;A=\pi (3^2r^2)\implies A=9(\pi r^2)

notice, if the original area was πr², then the new area has a factor in front of it, that much.
8 0
3 years ago
Use the image to answer the question. Use the drop-down menus to complete the statements. It isfor Acacia to pick a purple piece
I am Lyosha [343]

Answer:

1. less likely

2. more likely

Step-by-step explanation:

test took

3 0
3 years ago
Read 2 more answers
a plastering contractor charges $18 per square yard( that is $2 per square foot). what is the cost of plastering 100 feet of wal
Tomtit [17]
Basically, this problem is going to require you to solve for the area and multiply it with the given cost unit.

Area = Length*Height
Area = 100 ft * 8 ft = 800 ft²

Total Cost = (Unit Cost)(Area)
Total Cost = ($2/ft²)(800 ft²)
<em>Total Cost = $1,600</em>
4 0
3 years ago
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