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3 years ago

at 4:00 am the temperature was -9 degrees f. at noon the temperature was 18 degrees f. what was the change in temperature

Mathematics

1 answer:

Nutka1998 [239]3 years ago

7 0

There was a change of 27 degrees F.

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Where would fraction 22/11 belong on a #6 number line

pickupchik [31]

22/11 is equal to 2
So, it would be where 2 is on the number line.

6 0

3 years ago

A student is given that point P(a, b) lies on the terminal ray of angle Theta, which is between StartFraction 3 pi Over 2 EndFra

Harman [31]

Answer:

A.

The student made an error in step 3 because a is positive in Quadrant IV; therefore,

$cos\theta = \frac{a\sqrt{a^2 + b^2}}{a^2 + b^2}$

Step-by-step explanation:

Given

$P\ (a,b)$

$r = \± \sqrt{(a)^2 + (b)^2}$

$cos\theta = \frac{-a}{\sqrt{a^2 + b^2}} = -\frac{\sqrt{a^2 + b^2}}{a^2 + b^2}$

Required

Where and which error did the student make

Given that the angle is in the 4th quadrant;

The value of r is positive, a is positive but b is negative;

Hence;

$r = \sqrt{(a)^2 + (b)^2}$

Since a belongs to the x axis and b belongs to the y axis;

$cos\theta$ is calculated as thus

$cos\theta = \frac{a}{r}$

Substitute $r = \sqrt{(a)^2 + (b)^2}$

$cos\theta = \frac{a}{\sqrt{(a)^2 + (b)^2}}$

$cos\theta = \frac{a}{\sqrt{a^2 + b^2}}$

Rationalize the denominator

$cos\theta = \frac{a}{\sqrt{a^2 + b^2}} * \frac{\sqrt{a^2 + b^2}}{\sqrt{a^2 + b^2}}$

$cos\theta = \frac{a\sqrt{a^2 + b^2}}{a^2 + b^2}$

So, from the list of given options;

The student's mistake is that a is positive in quadrant iv and his error is in step 3

3 0

2 years ago

1 m = 3.28 ft About how many meters are in 41 feet?

saveliy_v [14]

Answer:

12.4968

Step-by-step explanation:

plz mark me brainlest and hope this helps

6 0

2 years ago

Graph the system of equations.

Y_Kistochka [10]

Answer:

Step-by-step explanation:

I cannot use the line tool for you, but I can rewrite the equations

y = -x + 4 is good enough

Two points for this graph:

x = 0 -> y = 4 gives the point (0, 4)

x = 1 -> y = 3 gives the point (1, 3)

18x + 6y = -6

6y = -18x - 6

y = -3x - 2

Two ponts for this graph:

x = 0 -> y = -2 gives the point (0, -2)

x = 1 -> y = -5 gives the point (1, -5 )

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3 years ago

|(1)

Yanka [14]

So first you would divide 1950/6 to find the amount for one year of their age.
Then you would multiply that by the ages, which should get you 4 numbers, then you all those numbers together. Try 9750.

3 0

2 years ago