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Nat2105 [25]
3 years ago
8

Dave builds a wheelchair ramp with 1 metre of wood. He wants the vertical height of the ramp to be 50 centimetres. What does the

angle of elevation need to be?
Mathematics
1 answer:
Yakvenalex [24]3 years ago
7 0

Answer:

\theta=30^{o}

Step-by-step explanation:

1 m is 100 cm

The hypotenuse is 100 cm and the opposite side is 50 cm

sin \theta=\frac {50}{100}

\theta=30^{o}

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In one baseball season, Peter hit twice the difference of the number of home runs Alice hit and 6. Altogether, they hit 18 home
shutvik [7]
H = Alice's home runs
p = Peter's home runs

p = 2(h - 6)
p + h = 18

Simplified:
p = 2h - 12
p - 2h = -12

p + h = 18

Solve simultaneously:
p - 2h = -12                              ...1
p + h = 18                                ...2

1 - 2:
-3h = - 30
h = -30/-3
h = 10

Substitute into 2:
p + h = 18
p + 10 = 18
p = 18 - 10
p = 8

Therefore, Peter hit 8 home runs and Alice hit 10 homeruns.
6 0
3 years ago
Pls help me fast like asap
skelet666 [1.2K]
D is your answer because you gave 20 and they are subtracting the cost of 3x lbs of apples
6 0
3 years ago
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What is the length of the dotted line? round to the nearest hundredth. 2.50 in. 3.75 in. 5.00 in. 6.25 in.
dezoksy [38]

The measure of the length of the dotted line is 3.75 inches. Then the correct option is B.

<h3>What is a hexagon?</h3>

The hexagon is a two-dimensional geometry with six sides. And the polygon's sides are all straight lines that are joined side by side.

The perimeter of the hexagon is 7.5 inches.

Then the length of the hexagon will be

\rm 7.5 = 6x\\\\x \ \ = 1.25

The length of the hexagon is 1.25 inches.

Then the diagonal length of the hexagon will be

y = 2 × 1.25

y = 2.5

The diagonal length of the hexagon is 2.5 inches.

Then the length of the dotted line is 3.75 inches.

More about the hexagon link is given below.

brainly.com/question/3295271

8 0
2 years ago
What is the recursive rule for the sequence?
yulyashka [42]

Answer:

C

Step-by-step explanation:

Since we are dealing with recursive equations, we can use a simple format.

a_{1}=x \\ \\ a_{n}=a_{n-1}+y

x is the starting value and y is the change.

We can see that the change is -5.6 since 5.6 is being subtracted from each term each time.

So the equation would be

a_n=a_{n-1}-5.6

We can check this by plugging in the numbers.

Let's see if -8.3 works, which is the 2nd term in the equation.

a_2=a_{2-1}-5.6 \\ \\ -8.3=a_{1}-5.6 \\ \\ -8.3=-2.7-5.6 \\ \\ -8.3=-8.3

Therefore, the recursive rule is the third one.

4 0
3 years ago
Ben started riding his bike at 10:05 A.M. He stopped 23 minutes later
Alex17521 [72]

Answer:

10:28 A.M.

Step-by-step explanation:

5 plus 23 equals 28

8 0
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