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Varvara68 [4.7K]
2 years ago
15

Four students did a 400 meter sprint relay. Henry's time was 51.10 seconds, Cathryn's time was 45.26 seconds, Grayson's time was

101.92 seconds, and Woody's time was 62.14 seconds. What was their total time?
Mathematics
1 answer:
mylen [45]2 years ago
8 0

Answer:

260.42 you add them because it want the total time of all of them

Step-by-step explanation:

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An observer stands 25 feet from the base of a flagpole and watches a flag being lowered at a rate of 5 ft/sec. Determine the rat
Sedaia [141]

Answer:

0.1 rad/s

Step-by-step explanation:

Since the distance from or to the flagpole is not given, I will assume. And my assumption is 50 ft

Now, the elevation angle A = 45 degrees, converting to radians, we have π/4 radians

Remember that the tan of an angle is OPP/HYP, and so

tan A = h/25, on differentiating, we have

d tan A/dA = sec^2 A = (1/25) dh/dA

Next, we have

25 sec^2 A * dA/dt= dh/dt = 5

Making dA/dt the subject of formula, we have

dA/dt = (1/5) cos^2 A

but cos^2 A from trigonometry = 1/2, this means that

dA/dt = .1 radians/second

If you want to convert to degrees, your have

.1 Rad/s( 180 deg/rad) = 18 degrees/second

3 0
3 years ago
Please help answer all of the following multi-step equations
Triss [41]

Answer: first one x <-2

second one x>1

third one Use the given functions to set up and simplify

(1-4x)-x.32+4x<-3=(1-4x)-x= -5x+1

fourth one

13/14

Step-by-step explanation:

I can't rlly explain I just do, I hope this helps

8 0
2 years ago
The average fleet-wide performance of light duty trucks has made constant improvement since 1980. For example, the time for the
andrew11 [14]
A) T(m) = -0.16m +331.3

B) T(2015) = 8.9 . . . seconds

_____
The linear regression function of a graphing calculator can find the equation of the line easily. Or, you can use the 2-point form of the equation of a line.
.. T(m) = (10.5 -14.5)/(2005 -1980)*(m -1980) +14.5
.. T(m) = -0.16(m -1980) +14.5

8 0
3 years ago
What is the sum of the measures of the interior angle formed by the boundary of this team pennant
Elis [28]
180 because it is a triangle
3 0
2 years ago
Which statements describe the graph of y = Negative RootIndex 3 StartRoot x minus 1 EndRoot + 2? Select three options.
SOVA2 [1]

Answer:

The graph has a domain of all real numbers.

The graph has a y-intercept at (0,1).

The graph has an x-intercept at (-7,0).

Step-by-step explanation:

Given: The graph is y=\sqrt[3]{x-1}+2

The domain of a function is a set of input values for which the function is real and defined.

Thus, the graph has a domain of (-\infty, \infty).

To find the y-intercept:  To find the y-intercept, substitute x=0 in y=\sqrt[3]{x-1}+2.

\begin{aligned}y &=\sqrt[3]{x-1}+2 \\&=\sqrt[3]{0-1}+2 \\&=-1+2 \\&=1\end{aligned}

Thus, the y-intercept is (0,1)

To find the x-intercept: To find the x-intercept, substitute y=0 in y=\sqrt[3]{x-1}+2 .

\begin{aligned}y &=\sqrt[3]{x-1}+2 \\0 &=\sqrt[3]{x-1}+2 \\-2 &=\sqrt[3]{x-1} \\(-2)^{3} &=(\sqrt[3]{x-1})^{3} \\-8 &=x-1 \\-7 &=x\end{aligned}

Thus, the x-intercept is (-7,0)

8 0
2 years ago
Read 2 more answers
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