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3 years ago

There are 60 students in a classroom, 50% of the students are

Mathematics

1 answer:

vivado [14]3 years ago

6 0

Answer:

Step-by-step explanation:

If 50% of students are boys that means there are 30 boys and 30 girls. Then if 30% of boys are 10 and 60% of girls are 18. You add 18+10 and that gives you 28.

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Angle X measures 110 degrees. If angle X is rotated 60 degrees, what is the measure of angle X'?.

Dima020 [189]

Angle X would still be 110 degrees bc the angle stays the same as you rotate it.

5 0

4 years ago

Read 2 more answers

7×3.8<br><br><br>show me the work you did to get the answer

timama [110]

5
7
X3.8
26.6
So you multiply 7x8 and you get 56 then you put the 6 down and carry the 5 and then you multiply the 3x7 and you get 21 but you add the 5+21 and get 26 then you put the decimal after one number because that is how it is in 3.8

3 0

3 years ago

2 circles labeled Set A and Set B overlap. Set A contains 1, set B contains 3, and the overlap of the 2 circles contains 2. The

Elena L [17]

The intersection of sets is the point that represents the common point of multiple sets.

The region that represents the intersection of sets A and B is region II.

From the question, we understand that sets A and B have a common set element at II.

This means that region II is the intersection of both sets.

Hence, the region that represents the intersection of sets A and B is II.

Read more about set intersection at:

brainly.com/question/6779867

7 0

3 years ago

Find the area of the parallelogram that has a base of 2 1/2 ft and a height of 1 1/4ft

Marina CMI [18]

Answer:

The area of the parallelogram is $3\frac{1}{8}ft^{2}$

Step-by-step explanation:

Remember that a mixed fractions are composed for a whole number, a numerator and a denominator. For example in the mixed fraction $2\frac{1}{3}$ : 2 is the whole number, 1 is the numerator and 3 is the denominator.

If you want to convert to a improper fraction you need to multiply the whole number by the denominator and add to the numerator. The result will be the numerator of the improper fraction. The denominator remains the same.

$2\frac{1}{3}=\frac{(2*3)+1}{3} =\frac{7}{3}$

1. Convert the mixed fractions in the improper fraction type, as follows:

$Base= 2\frac{1}{2}=\frac{5}{2} \\ \\Height= 1\frac{1}{4}=\frac{5}{4}$

2. Replace the data in the equation of a parallelogram

$Area= Base*Height$

$Area= Base*Height\\Area=\frac{5}{2}ft *\frac{5}{4}ft\\Solve...\\Area=\frac{25}{8}ft^{2}$

3. Convert the improper fraction in a mixed fraction

$Area=\frac{25}{8}ft^{2}=3\frac{1}{8}ft^{2}$

The area of the parallelogram is $3\frac{1}{8}ft^{2}$

5 0

3 years ago

Geometry problem: Find the distance between the parallel lines y=-3/2x+1 and 2y+3x=10

s344n2d4d5 [400]

Answer:

d = 1.847

Step-by-step explanation:

To avoid any ambiguity, please enclose the slope -3/2 inside parentheses:

y = (-3/2)x + 1. Next, solve the 2nd equation for y: 2y = - 3x + 10 => y = (-3/2)x + 5. Notice how these two lines have the same slope (-3/2)? Thus, the two given lines are parallel.

It's important to realize that the distance between these two lines is a line segment with perpendicular to both lines. Thus, the segment representing this distance has the form y = (2/3)x + c. Let's say that this segment passes through the y-intercept of y = (-3/2)x + 1; it thus passes through (0,1), and thus has the equation y = (2/3)x + 1.

Find the point at which this y = (2/3)x + 1 intersects the line y = (3/2)x + 5. Note that the xresultant point

Setting these two equations = to one another results in (2/3)x + 1 = (-3/2)x + 5.

Multiplying both sides by the LCD (6) will eliminate the fractions:

4x + 6 = -9x + 30. Combining like terms: 13x = 24, and x = 24/13 = 1.846.

Substitute this x-value into y = (2/3)x + 1 to find the y-coordinate of the point of intersection of y = (2/3)x + 1 and y = (-3/2)x + 5:

When x = 1.846, y = (2/3)(1.846) + 1 = 1.231.

Thus, the desired distance is that between (0,1) and (1.846, 1.231), and is:

d = √ [ (1.846 - 0)^2 + (1.231 - 1)^2 ] = √ [ (1.846)^2 + (0.053)^2 ]

This simplifies to d = √ [ 3.408 + 0.003 ] = √3.411, or

d = 1.847 (answer)

7 0

3 years ago