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stepladder [879]
3 years ago
11

Suppose a triangle has sides a, b, and c, and let theta be the angle opposite the side of length a. If cos theta > 0 what mus

t be true?
A. a2 + b2 > c2
B. a2 + b2 = c2
C. b2 + c2 < a2
D. b2 + c2 > a2
Mathematics
2 answers:
borishaifa [10]3 years ago
5 0
I think the answer is d or b if im wrong sorry hope this helped tho :p
koban [17]3 years ago
5 0
The correct answer is D
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Box 1 contains 1000 lightbulbs of which 10% are defective. Box 2 contains 2000 lightbulbs of which 5% are defective. (a) Suppose
mojhsa [17]

Answer:

a) There is a 66.7% chance that you were given box 1

b) There is a 80% chance that you were given box 1

Step-by-step explanation:

To find this, we need to note that there is a 1/10 chance of getting a defective bulb with box 1 and a 1/20 chance in box 2.

a) To find the answer to this, find the probability of getting a defective bulb for each box. Since there is only one bulb pulled in this example, we just use the base numbers given.

Box 1 = 1/10

Box 2 = 1/2

From this we can see that Box 1 is twice as likely that you get a defective bulb. As a result, the percentage chance would be 2/3 or 66.7%

b) For this answer, we need to square each of the probabilities in order to get the probability of getting a defective one twice.

Box 1 = 1/10^2 = 1/100

Box 2 = 1/20^2 = 1/400

As a result, Box 1 is four times more likely. This means that it would be a 4/5 chance and have a probability of 80%

3 0
3 years ago
Umm I don’t remember this please help. I will give correct answer brainliest
VikaD [51]

Answer:

Option D

Step-by-step explanation:

F=\frac{9}{5}C+32\\\\F-32=\frac{9}{5}C  \\\\5(F-32)=9C\\\\\frac{5(F-32)}{9}=C  \\\\C=\frac{5}{9}( {F-32})

For F=77°F

C=\frac{5}{9}(F-32) \\\\C=\frac{5}{9}(77-32)\\\\C=\frac{5}{9}(45)\\\\C=\frac{225}{9} \\\\C=25

7 0
3 years ago
I need to find the equation of the line
deff fn [24]

Answer:

y = 3x + 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3) ← 2 points on the line

m = \frac{3-0}{0-(-1)} = \frac{3}{0+1} = \frac{3}{1} = 3

the line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = 3x + 3 ← equation of line

3 0
2 years ago
Read 2 more answers
Write the slope intercept form of a line through (6, -7) and parallel to y= x - 9
AveGali [126]

Answer:

y = x - 13

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = x - 9 ← is in slope- intercept form

with slope m = 1

Parallel lines have equal slopes, thus

y = x + c ← is the partial equation of the parallel line

To find c substitute (6, - 7) into the partial equation

- 7 = 6 + c ⇒ c = - 7 - 6 = - 13

y = x - 13 ← equation of parallel line

7 0
3 years ago
The formula for the volume of a cube is V = s³, where s represents the side length of the cube. If a cube has a side length of 4
Alla [95]

Answer:

91.125 or 729/8

Step-by-step explanation:

take 4.5^3 to get 91.125

7 0
3 years ago
Read 2 more answers
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