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2 years ago

A. Three fifths of the students in the class are boys. If there are 15 boys in

Mathematics

2 answers:

AleksAgata [21]2 years ago

8 0

Answer:

25 students.

Step-by-step explanation:

15 = 3/5

divide by 3 to find 1/5 of the class

5 = 1/5

multiply by 5 to find 5/5 (100%) of the class

25 = 1

There are 25 students in the class.

Nana76 [90]2 years ago

5 0

Multiply by 5 to find 5/5

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rjkz [21]

Nicki minaj is a quebeebbenenene

7 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

I need help with this question please and thank you

stiv31 [10]

Answer:

13 cups

Step-by-step explanation:

1.5 pint= 3 cups

8 fluid ounces = 1 cup

4 bottles of milk with 1.5 pint each= 3x 4= 12 cup

8 fluid ounces of strawberry syrup= 1 cup

12+1=13 cups

4 0

2 years ago

A scale of 0.5 inches to 2 feet was used for a model of the goal posts on a football field. If the model was 1 1/2 in high and 5

Paraphin [41]

The actual height is: 1 1/2 * 2 = 3 feet
The actual length is: 5 1/8 * 2 = 10.25 feet

hope this helps you.

6 0

3 years ago

There are three grades in the school. One grade has 1/3 of the students, one grade has 1/4 of the students. What fraction of stu

AlladinOne [14]

Answer:

Step-by-step explanation:

Let x represent the total number of stdents that has all grades in the school.

There are three grades in the school. One grade has 1/3 of the students, this means that number of students that belongs tho this grade is 1/3 × x = x/3

One grade has 1/4 of the students, this means that number of students that belongs to this grade is 1/4 × x = x/4

Total number of students in both grades would be x/3 +/x/4 = 7x/12

The number of students in the remaining grade would be

x - 7x/12 = 5x/12

fraction of students in the remaining grade would be

(5x/12)/x = 5/12

4 0

3 years ago