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3 years ago

To model 15 – 11 on a number line, begin at _______ and travel 11 units to the left.

Mathematics

2 answers:

Vadim26 [7]3 years ago

7 0

The answer is 15 cause you start at 15 and go from there

Inga [223]3 years ago

5 0

15 is the correct answer to the fill-in-the-blanks in this problem.

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Lyndsay has 3 3/4 gallons of paint.She plans on using 1 1/4 gallons on each room.How many rooms will she be able to paint?

Blizzard [7]

3 3/4÷1 1/4= 3 so 3 rooms

8 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

3 years ago

My car gets 34 miles per gallon at 60 miles per hour. Is the number of miles I can drive at 60 miles per hour a linear function

Assoli18 [71]

Answer: Yes,

Step-by-step explanation: If you have less than 60 miles in your gas tank it will not last 1 hour.

7 0

2 years ago

The measure of an angle is 78°. What is the measure of a complementary angle?

ki77a [65]

First you need to know the definition of a complementary angle. That means that two angles add up to 90 degrees, or a right angle.

To find an angle complementary to a 78 degree angle, you need to subtract 78 from 90.

90 - 78 = 12

6 0

3 years ago

Read 2 more answers

The winning car in a race beat the second car by 19/100 of a second. The third car was 4/10 of a second behind the second car. B

Neko [114]

20/5 should be correct

8 0

3 years ago