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3 years ago

NEED HELP ASAP

Mathematics

1 answer:

Katyanochek1 [597]3 years ago

8 0

Find the annual earnings if a worker is paid $743.75 semimonthly.

Answer: A worker is paid $743.75 semimonthly.

Semimonthly is twice a month.

Therefore, a worker is paid $ $743.75 \times 2 =1487.5$ monthly

There are 12 months in a year.

Therefore a worker is paid $ $1487.5 \times 12 =17850$ annually

Hence, the option b. $17,850.00 is correct

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Use the figure below to answer the questions.

Archy [21]

Answer:

a. What is the name of the 3D shape?

The name of the 3D shape is Prism

b. What is the formula for total surface area for this shape?

Total surface area:

$S=2A_{b}+P_{b}h$

c. What is the surface area of the figure?

The surface area of the figure is 144 cm²

Step-by-step explanation:

a. What is the name of the 3D shape?

The 3D shape has two congruent and parallel faces (triangles) and the other faces are parallelograms, then the 3D shape is a prism

b. What is the formula for total surface area for this shape?

Total Surface area:

$S=2A_{b}+P_{b}h$

where:

Area of the base of the prism: Ab

Perimeter of the base: Pb

Height of the prism: h

c. What is the surface area of the figure?

The base of the prism is a triangle. Then to calculate the area of the base, we must use the formula to calculate the area of a triangle:

$A_{b}=\frac{bh}{2}\\ A_{b}=\frac{(4 cm)(3 cm)}{2}\\ A_{b}=\frac{12cm^{2} }{2}\\ A_{b}=6cm^{2}$

The perimeter of the base is the perimeter of the triangle, equal to the sum of the sides of the triangle:

$P_{b}=4cm+3cm+5cm\\ P_{b}=12cm$

h: Height of the prism is the distance between the bases of the prism (the triangle), then h=11 cm

Then, replacing in the formula the known values:

$S=2(6 cm^{2})+(12 cm)(11 cm)\\ S=12 cm^{2}+132 cm^{2}\\ S=144 cm^{2}$

8 0

3 years ago

What is the probability of rolling a sum of 5 is 2 regular 6-sided number cubes are rolled

kap26 [50]

Answer:

1/3

Step-by-step explanation:

6 0

3 years ago

What values of k will make the line containing points (k,3) and (-2,1) parallel to the line through (5, K) and (1,0)

rjkz [21]

Answer:

k = -4 or 2

Step-by-step explanation:

For the lines to be parallel, the lines would need to be the same slope. This means to find the slope of each we would take the difference of the rise over the run.

$\frac{1-3}{-2-k}=\frac{-2}{-2-k}$

and

$\frac{0-k}{1-5}=\frac{-k}{-4}$

To find K, set them equal.

$\frac{-2}{-2-k} = \frac{-k}{-4}\\-k(-2-k) = -2*-4\\2k+k^2=8\\k^2+2k-8=0$

Factor the quadratic and solve for K.

$(k+4)(k-2)=0$

k+4=0 so k=-4

k-2=0 so k=2

4 0

3 years ago

If mABD, what are mABC and mDBC?

Sedbober [7]

Answer:

Step-by-step explanation:

8 0

3 years ago

A 12-ft ladder is leaning on a building. If the base of the ladder is placed 5 feet from the building, approximately how high do

Citrus2011 [14]

A^2+b^2=c^2

5^2+b^2=12^2

25+b^2=144

b^2=144-25

b^2=119

SQUARE ROOT BOTH SIDES:

b=10.9

The answer is c.

3 0

3 years ago

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