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3 years ago

Which statements are true? Check all that apply.

Mathematics

2 answers:

Aleksandr-060686 [28]3 years ago

7 0

Answer:

C and D or the second one and the fourth

Step-by-step explanation:

iris [78.8K]3 years ago

3 0

Answer:1the longest bar on a bar graph would be for the playing video games. 2. it would be time consuming to show the data a line plot Because the data values are large

Step-by-step explanation:

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Elias received a W-2 showing total compensations of $36,038. What is the amount of FICA tax he paid for the year? A) $522.55 B)

e-lub [12.9K]

FICA or Federal Insurance Contributions Act is composed of social security tax and medicare tax. Hence, we need to add these taxes to get the FICA tax.Social Security Tax is = 6.2%Medicare Tax is = 1.45%
Social Security Tax = 36,038*.062 = 2,234.356 Medicare Tax = 36,038*.0145 = 522.552
2,234.356 + 522.552 = 2,756.907 or 2,756.91
Therefore, Elias paid B.) 2,756.91 as FICA tax for the year.

3 0

3 years ago

Help geometry what I m jlf Picture provided

Zolol [24]

Answer:

$\angle\,JLF = 114^o$ which agrees with option"B" of the possible answers listed

Step-by-step explanation:

Notice that in order to solve this problem (find angle JLF) , we need to find the value of the angle defined by JLG and subtract it from $180^o$ , since they are supplementary angles. So we focus on such, and start by drawing the radii that connects the center of the circle (point "O") to points G and H, in order to observe the central angles that are given to us as $90^o$ and $138^o$ . (see attached image)

We put our efforts into solving the right angle triangle denoted with green borders.

Notice as well, that the triangle JOH that is formed with the two radii and the segment that joins point J to point G, is an isosceles triangle, and therefore the two angles opposite to these equal radius sides, must be equal. We see that angle JOH can be calculated by : $360^o-90^o-138^o=132^o$

Therefore, the two equal acute angles in the triangle JOH should add to:

$180^o-132^o=48^o$ resulting then in each small acute angle of measure $24^o$ .

Now referring to the green sided right angle triangle we can find find angle JLG, using: $180^o-24^o-90^o=66^o$

Finally, the requested measure of angle JLF is obtained via: $180^o-66^o=114^o$

4 0

3 years ago

For every boy in an advanced math course there are 3 girls who are taking the course.

Nutka1998 [239]

Answer:

If 32 students are enrolled in the course, there would be 24 girls.

Step-by-step explanation:

Given that For every boy in an advanced math course there are 3 girls who are taking the course.

It means if there are four students in the class. There would be 3 girls and 1 boy. Thus, 75% of the students are girls.

Given that there are 32 students enrolled in the course.

75% of 32 = 75/100 × 32

= 24

Thus, if 32 students are enrolled in the course, there would be 24 girls.

7 0

2 years ago

Determine the value of x when y= 14, if y=7 when x=8

Nezavi [6.7K]

Answer:

x=16

Step-by-step explanation:

since y=7 when x=8 and your trying to find what x is when y=14. Your really just taking the y value which is 7 then multiplying it by 2 which is 14. then since you multiplied the first y value by 2 you then just multiply the 8 by 2 and that is 16.

7 0

3 years ago

Here's a question ~

Gre4nikov [31]

Answer:

(0, 5√3/2 + 2)

Step-by-step explanation:

Given is the absolute value function.

Observations:

It has a slope of ±√3 and the y- intercept of 2.
There is no horizontal shift, so the the y-axis is the line of symmetry.
The y-axis is also an angle bisector of the two lines.
The foot P₁P₂ is parallel to the x-axis since it's perpendicular to the y- axis.

We need to find the coordinates of intersection of the line P₁P₂ with the y- axis (the point Y in the picture).

Consider the triangle AYP₂.

We know AP₂ = 5.

The angle YAP₂ is:

arctan (1/√3) = 30°

The distance AY is:

AY = AP₂ cos 30° = 5*√3/2

The distance from the x-axis to the point Y is:

5√3/2 + 2, added the y- intercept of the graphed lines

The coordinates of the point Y:

(0, 5√3/2 + 2)

3 0

3 years ago