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ELEN [110]
3 years ago
5

Plz awnser this question its due in 30 minutes​

Mathematics
1 answer:
frez [133]3 years ago
4 0

First, find the area of the rectangle. The formula is already given, and the length and width is shown on the 'beautiful drawing'.

A=lw --> A = (19)(9)

The area of the rectangle is 171cm².

Find the area of the triangle. We see that it fits perfectly inside the triangle with some space to spare. It has the same height, so we have our 'h' value. Because there are 4cm and 3cm left for the width, subtract the sum of these numbers from the width.

12-7=5, so the base of the triangle is 5cm long (remember that the figure isn't drawn to scale. I almost missed this one).

A=\frac{b*h}{2} --> A=\frac{5*9}{2}=45/2=  22.5cm^2

Final step. Subtract the area of the triangle from the rectangle: 171-22.5=148.5.

The area of the shaded region is 148.5cm².

Hope this was helpful.

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5 0
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Does the table show a direct proportional relationship? If so, what is the constant of proportionality?
lesantik [10]

Answer:

C. Yes, 3.5.

Step-by-step explanation:

If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality (k) is described by the following expression:

k = \frac{y}{x} (1)

Where:

x - Input.

y - Output.

If we know that (x_{1}, y_{1}) = (13, 45.5), (x_{2}, y_{2}) = (14, 49) and (x_{3}, y_{3}) = (15, 52.5), then the constants of proportionalities of each ordered pair are, respectively:

k_{1} = \frac{y_{1}}{x_{1}}

k_{1} = \frac{45.5}{13}

k_{1} = \frac{7}{2}

k_{2} = \frac{y_2}{x_2}

k_{2} = \frac{49}{14}

k_{2} = \frac{7}{2}

k_{3} = \frac{y_{3}}{x_{3}}

k_{3} = \frac{52.5}{15}

k_{3} = \frac{7}{2}

Since k_{1} = k_{2} = k_{3}, the constant of proportionality is 3.5.

8 0
3 years ago
three different are rung at intervals of 36 minutes 40 minutes and 48 minutes if they were rung together at 9 a.m. at what time
Lena [83]

To find the time in which all the bells ring together, we need to find the LCM of 36,40,48.

Prime factorization of 36=2×2×3×3

Prime factorization of 40=2×2×2×5

Prime factorization of 48=2×2×2×2×3

Hence, LCM of 36,40,48=2×2×2×2×3×3×5=720 seconds.

 

720seconds=  

60

720

​

minutes=12minutes

Hence, all the bells will ring together after 12 mi

6 0
3 years ago
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What is the solution of the quadratic equation?
NISA [10]
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Can anyone help me with this please I need help
Gnoma [55]

Answer:

12

................. ...........

3 0
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