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hram777 [196]
3 years ago
10

Find the Area of the figure

Mathematics
1 answer:
sineoko [7]3 years ago
4 0
The figure is made up of two semi-circles and one triangle

--------------------------------
Find Radius
--------------------------------
Radius = Diameter ÷ 2
Radius = 5 ÷ 2 
Radius = 2.5 ft


Area of the semi-circle = 1/2 πr²
Area of the semi-circle = 1/2 x π x (2.5)²
Area of the semi-circle = 9.82 ft²

Area of the triangle= 1/2 x base x height
Area of the triangle = 1/2 x 6 x 4
Area of the triangle = 12 ft²

Total area = 9.82 + 9.82 + 12 
Total area = 31.63 ft²

--------------------------------------------
Total Area = 31.63 ft²
--------------------------------------------
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please help! Triangle PQR is in a coordinate plane. The triangle is reflected across the y–axis and then translated 11 units lef
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Step-by-step explanation:

Triangle PQR is in a coordinate plane. The triangle is reflected across the y–axis and

then translated 11 units left to form Triangle P'Q'R'. Determine which of the following statements must be true regarding this transformation. Select True or False for each statement.

Angle P has the same measure as angle P'. T or F

Angle Q has the same measure as angle R'. T or F

Angle R has the same measure as angle R'. T or F

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For what values of x is x2-36=5x true?<br> 0 -9 and 4<br> 04 and 9<br> 4 and -9<br> 09 and 4
ipn [44]

Answer:

x = - 4 and x = 9

Step-by-step explanation:

Given

x² - 36 = 5x ( subtract 5x from both sides )

x² - 5x - 36 = 0

Consider the factors of the constant term (- 36) which sum to give the coefficient of the x- term (- 5)

The factors are - 9 and + 4, since

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A number of squares are connected in a row to form a rectangle. The table shows the relationship between the number of squares,
svp [43]

Answer:

✅The table can be represented by the equation, y = 4x + 4

✅The relation is a function.

✅The graph of the function is linear.

Step-by-step explanation:

✍️The first statement: The table can be represented by the equation, y = 4x + 4.

To check if the first statement is correct let's find the equation that can represent the table by finding the slope (m) and y-intercept (b).

Using two pairs, (1, 8) and (2, 12),

Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 8}{2 - 1} = \frac{4}{1} = 4.

Substitute, x = 1, y = 8, and m = 4 into y = mx + b to solve for b.

Thus:

8 = (4)(1) + b

8 = 4 + b

Subtract 4 from each side

8 - 4 = b

4 = b

Plug in the values of b and m into y = mx + b.

Thus, the equation that represents the table would be:

y = 4x + 4.

✅Therefore, the first statement is correct.

✍️The second statement: The graph of the function is non-linear.

This is NOT TRUE because the equation of the function, y = 4x + 4, represents the equation of a linear graph in the slope-intercept form. When graphed, it will give us a straight line.

✍️The Third statement: The relation is a function.

This is TRUE because each input value (x-value) has exactly one output value (y-value).

✍️The Fourth statement: The rate of change is NOT constant.

This standby is NOT TRUE.

The rate of change is the slope (m) that we have calculated above to be 4. Between any two pairs, the rate of change remains 4.

Therefore, this statement is not correct.

✍️The Fifth statement: The graph of the function is linear.

This is TRUE. As stated earlier, from the equation generated, it is safe to say that the equation represents graph of a linear function. The graph will be a straight line graph.

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