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Novay_Z [31]
2 years ago
10

A rectangular prism has a length of 114 centimeters, a width of 4 centimeters, and a height of 314 centimeters.

Mathematics
2 answers:
Stells [14]2 years ago
5 0

Answer:

the anwser is 16 1/4

Step-by-step explanation:

algol132 years ago
4 0
Hello!
----------
The volume of the prism is 143184 cm^3
----------
WORK: 114*4=456*314=143184
----------
Have a great day!
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Alex the electrician needs 34 yards of electrical wire to complete his job. He has a coil of wiring in his workshop. The coiled
bogdanovich [222]

Answer: This coil will not be enough to complete the job.

Step-by-step explanation:

The circumference of the coil of wiring can be calculated with:

C=2\pi r

Where r is the radius and \pi=3.14

The radius can be calculated by dividing the diameter by 2. Then:

r=\frac{18in}{2}\\\\r=9in

Convert 9 inches to yards (1 yard=36 inches):

(9in)(\frac{1yd}{36in})=0.25yd

Substitute this radius into the formula:

C=2(3.14)(0.25yd)\\C=1.57yd

Since there are 21 circles of wire, you need to multiply C=1.57yd by 21:

C_T=(1.57yd)(21)=32.97yd

The coil has 32.97 yards of wire and Alex needs 34 yards, therefore, this coil will not be enough  to complete the job.

8 0
2 years ago
a company makes a profit of $50 per software program and $35 per video game. The company can produce at most 200 software progra
Lynna [10]

Answer:

In order to maximize the profit, should be produced 200 software program and 235 video games per week

Step-by-step explanation:

Let

x ------> the number of software program

y -----> the number of video games

we know that

x \leq 200 -----> inequality A

y \leq 300 -----> inequality B

x+y \leq 435 -----> inequality C

Using a graphing tool

The solution is the shaded area between the positive values fo x and y

see the attached figure

The vertices of the shaded area are

(0,0),(0,300),(135,300),(200,235),(200,0)

The profit function is equal to

P=50x+35y

Substitute the value of x and the value of y of each vertices in the profit function

For (0,300) ----- P=50(0)+35(300)=\$10,500

For (135,300) ----- P=50(135)+35(300)=\$17,250

For (200,235) ----- P=50(200)+35(235)=\$18,225

For (200,0) ----- P=50(200)+35(0)=\$10,000

therefore

In order to maximize the profit, should be produced 200 software program and 235 video games per week

4 0
2 years ago
Read 2 more answers
Galactic Rotation Speed. We are located about 27,000 light-years from the galactic center and we orbit the center about once eve
Alexxandr [17]

Answer:

speed = 796142.197 km/hr

Step-by-step explanation:

solution

we consider here orbit around galactic center is circular so

circumference formula will be here

circumference C = 2πr   ........1

here we know r = 27000

so

circumference C = 2 π × 27000

C = 169560 light year

so

we travel 169560 light year in 230000000 years

so distance will be

distance = \frac{169560}{230000000}

distance = 0.00073721 light year/year

and we know 1 year = 8760 hours

so 1 light year = 9.46027 ×10^{12} km

so

sped of moving is

speed = 0.00073721 × 9.46027 × \frac{10^{12}}{8760}  km/hr

speed = 796142.197 km/hr

5 0
2 years ago
Pamela has4/5 pound of sunflower seeds if she gives 2/3 pound of sunflower seeds to the squirrels in her backyard what fraction
Assoli18 [71]
4/5-2/3= 12/15-10/15 (common denominator is 15)=2/15 pounds of seeds left
8 0
2 years ago
The next two numbers in the series, 32000, 8000, 2000, 500 are
Travka [436]

32000 \div 4 = 8000
8000 \div 4 = 2000
2000 \div 4 = 500
500  \div 4 = 125
125 \div 4 = 31.25
3 0
2 years ago
Read 2 more answers
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