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Oliga [24]
3 years ago
13

What are the roots of the equation? x2−x−42=0 Enter your answers in the boxes.

Mathematics
1 answer:
Levart [38]3 years ago
8 0

Answer:

x = 7  x = -6

Step-by-step explanation:

x^2−x−42=0

Factor

What two numbers multiply to -42 and add to -1

-7*6 = -42

-7+6 = -1

(x-7) (x+6) =0

Using the zero product property

x-7 =0   x+6 =0

x = 7  x = -6

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The arm of a steel crane is 62 feet long. When it is fully extended, the crane arm forms a 30 degree angle with a line parallel
yuradex [85]

Answer: The top of the Crane is 31 feet above the ground.

Step-by-step explanation:

When it is fully extended, the crane arm forms a 30 degree angle with a line parallel to the ground. This means that a right angle triangle is formed. The length of the Crane's arm represents the hypotenuse. The horizontal distance represents the adjacent side of the right angle triangle. The distance, h of the top of the Crane from the ground represents the opposite side of the right angle triangle.

To determine h, we would apply

the Sine trigonometric ratio.

Sin θ, = opposite side/hypotenuse. Therefore,

Sin 30 = h/62

h = 62Sin30

h = 62 × 0.5

h = 31 feet

3 0
3 years ago
What is 1/2 times 5/4?
Katen [24]

Answer:

1 x 5 = 5

2 x 4 = 8

5/8 is the answer.

3 0
3 years ago
Read 2 more answers
What is the volume of a hemisphere with a diameter of 60.9 in, rounded to the
Oksanka [162]
78 I think because you have to see the other 2 numbers
8 0
2 years ago
Read 2 more answers
4000÷10×2+4-8 rounded to the nearest ten
Vladimir79 [104]
You would follow the order of operations
Parentheses
Exponents
Multiply/Divide
Add/Subtract

if it is multiply or divide, go from left to right. do the same if it is addition or subtraction

4000/10x2+4-8

first, do 4000/10

400x2+4-8

then do 400x2

800+4-8

then do 800+4

804-8

796
rounding to the nearest tens would make it 800
because 9 rounded up is 10
4 0
2 years ago
Read 2 more answers
The ratio of games won to games lost for a baseball team is 7:2. The team
dimulka [17.4K]

Answer:

They lost 4 games.

Step-by-step explanation:

brainliest pls

3 0
3 years ago
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