Answer:
one
Step-by-step explanation:
The one line of symmetry for an isosceles trapezoid is the line that connects the midpoints of the parallel bases.
Answer:
the minimum speed, in feet per second, that the conveyor must move is 7.07143 ft/sec
Step-by-step explanation:
Let's assume time it takes to cool is 't' seconds
so, we are given
The castings cool at the rate of 0.3°F (degrees Fahrenheit) per second
so, total change in temperature will be
must not be allowed to cool more than 7°F before being heat treated
so, that temperature must be equal to 7
now, we can solve for t
sec
now, we are given length of casting is 55 yards
so, firstly we will change it into ft
1 yard =3 ft
so,
so, we have
total length =55 ft
now, we can use speed formula
we can plug values
so, speed is 7.07143 ft/sec
Answer:
7.07 is the answer i got as well
Step-by-step explanation:
-31/8 converts to -3.875 in decimal form. In the case of negative numbers, 'less than' refers to numbers further from zero. Therefore, -3.92 is 'less than' -31/8.
To answer this question, we first need to convert -31/8 into decimal form. Doing this, we get -3.875.
Now we can compare -3.875 and -3.92. When it comes to negative numbers, a number is 'less' if it is further from zero. In this case, -3.92 is further from zero than -3.875.
So, -31/8 is greater than -3.92. In other words, -3.92 is 'less than' -31/8.
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The value of x will be;
⇒ x = 7/2
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
BD is an angle bisector.
Now,
In ΔBFG and ΔBFE;
∠G = ∠E = 90°
BF is common line.
∠GBF = ∠ FBE
Thus, ΔBFG ≅ ΔBFE
Hence, FG = FE
Substitute the values, we get;
⇒ FG = FE
⇒ 2x + 6 = 4x - 1
⇒ 6 + 1 = 4x - 2x
⇒ 7 = 2x
⇒ x = 7/2
Thus, The value of x will be;
⇒ x = 7/2
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The equation of the line that passes through the points (2,1) and (6,-5) is y = -3/2x + 4. This is calculated using the formula for a line y - y1 = m(x - x1) and the formula for slope.
In order to find the equation of the line passing through the points (2,1) and (6,-5), we can use the formula for a line y - y1 = m(x - x1). Here, m is the slope of the line. We can calculate the slope using the formula (y2 - y1) / (x2 - x1). Thus, for the points (2,1) and (6,-5), the slope m is (-5 - 1) / (6 - 2) = -6/4 = -3/2. We can substitute one pair of points and the slope into the line equation. Let's use (2,1). The equation of this line is then y - 1 = -3/2 * (x - 2). Simplifying, we get the equation of the line to be y = -3/2x + 4.
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On creating and solving the linear inequality based on the given conditions, the charity needs at least 1000 race entries to raise at least $55,000.
Linear inequalities are the expressions where any two values are compared by the inequality symbols such as, '<', '>', '≤' or '≥'. These values could be numerical or algebraic or a combination of both.
Let the number of race entries be x.
5000 + 55x + 10000 - 15x >= 55000
40x >= 40000
x >= 1000
The charity needs at least 1000 race entries to raise at least $55,000.
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