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Katena32 [7]
3 years ago
6

Explain how you know which coins could be used to show 0.77 of a dollar

Mathematics
1 answer:
Illusion [34]3 years ago
8 0

you can use 3 quarters and 2 pennies
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Solve the equation -2(m-30)=-6m
Sergio039 [100]

Answer:

m=-15

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable. m=-15

7 0
3 years ago
Evan tosses a ball from the roof of a building. The path of the ball can be modelled
DiKsa [7]

Answer:

Please find attached sketch of the path of the ball, having plot area and plot points, created with MS Excel

Step-by-step explanation:

Question;

The equation representing the path of the ball obtained from a similar question posted online are;

h₁ = -4·(t + 1)·(t - 5), h₂ = -4·(t - 2)² + 36, h₃ = -4··t² + 16·t + 20

The above equations represent the same path

The equation, h₁ = -4·(t + 1)·(t - 5), gives the roots of the height function, h(t), used in determining the height of the ball after time <em>t</em>

At (t + 1) = 0 (t = -1) or at (t - 5) = 0 (t = 5), the ball is at ground level

The ball reaches the ground, is at ground level at t = 1, and at t = 5 seconds after being tossed, where h(t) = 0

The equation of the path of the ball in vertex form, y = a·(x - 2)² + k, is h₂ = -4·(t - 2)² + 36, where, by comparison, we have;

The vertex of the ball = The maximum height reached by the ball  = (h, k) = (2, 36)

The coefficient of the quadratic term, t², is negative, therefore, the shape of the parabola is upside down, ∩, shape

The sketch of the path of the ball created with MS Excel, used in plotting the vertex, the initial value and the root points of the parabola, through which the ball passes and joining of the points with a 'smooth' curve is attached

5 0
3 years ago
you go to a restaurant and spent 36.43 on food. if you give the waitress an 18% tip how much money would you get the waitress bi
kenny6666 [7]

Answer:

$43.03

Step-by-step explanation:

18% of $36.43 = $6.60  (6.5574)

$6.60 + $36.43 (price of food without tip)

$6.60 + $36.43 = $43.03

7 0
4 years ago
The length of a rectangle is 5 inches longer than the width. The perimeter of the rectangle is 40 inches. What is the width of t
tangare [24]

Answer: 7.5"

Step-by-step explanation:

First, take away the extra 5" on the longer side lengths

40-5-5=30

Then divide by 4 to get the width

30/4=7.5

This works because if you took the 7.5" and added back the 5 inches, it makes 12.5. Then add all 4 sides together, you get 40.

7.5+7.5+12.5+12.5=

8 0
3 years ago
Read 2 more answers
The angle 01 is located in Quadrant III, and cos(01) = -30/13
larisa [96]

Answer:

<h2>sin(01) = -32.70/13</h2>

Step-by-step explanation:

Given cos(01) = -30/13 where angle 01 is located in quadrant III. In the third quadrant, both cos and sin are negative. only tan is positive.

To calculate sin(01), we will apply the trigonometry expression as shown below;

cos(01) = -30/13

According to SOH CAH TOA;

cos(01) = adjacent/hypotenuse = -30/13

sin(01) = opposite/ hypotenuse

To get the hypotenuse, we will use the pythagoras theorem

hyp^{2}=opp^{2}+adj^{2}   \\opp^{2}=  hyp^{2}-adj^{2}\\opp^{2}= 13^{2} -(-30^{2} )\\opp^{2} = 169+900\\opp^{2}=1069\\opp = \sqrt{1069} \\opp = 32.70\\

sin(01) = 32.70/13

Since sin is also negaitve in the third quadrant, the value of

sin(01) = -32.70/13

01 = cos^{-1}- 30/13

8 0
3 years ago
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