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2 years ago

A plumber is replacing a pipe in a kitchen. The old pipe

Mathematics

2 answers:

Andrew [12]2 years ago

6 0

Answer:

2.57

Step-by-step explanation:

All the plumber has to do is subtract the longer length of the new pipe (10) with the length of the old pipe (7.43) to see how much he needs to cut off.

k0ka [10]2 years ago

5 0

Answer:

He will need to cut off 2.57 inches off of the new pipe.

Step-by-step explanation:

We can calculate how many inches the plumber needs to cut off the 10 inch pipe by finding the difference between the 10 inch pipe and the 7.43 inch pipe.

So let’s subtract 7.43 from 10.

10-7.43 = 2.57

The difference is 2.57 inches, and therefore the plumber will need to cut 2.57 inches off of the new pipe to make it fit where the 7.43 inch pipe used to be.

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In ΔXYZ, ∠X=82° and ∠Y=84°. ∠XWZ=90° and XY=97. Find the length of XW to the nearest integer.

ivanzaharov [21]

Check the picture below to the left, let's use those sides with the law of sines

$\textit{Law of sines} \\\\ \cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{sin(14^o)}{97}=\cfrac{sin(84^o)}{XZ}\implies XZ = \cfrac{97\cdot sin(84^o)}{sin(14^o)}\implies XZ \approx 398.76 \\\\\\ \stackrel{\textit{now using SOH CAH TOA}}{cos(82^o) = \cfrac{XW}{XZ}}\implies XZcos(82^o)=XW \\\\\\ 398.76cos(82^o)\approx XW\implies 55.497\approx XW\implies \stackrel{\textit{rounded up}}{55=XW}$

7 0

2 years ago

Number like 10 10 1000 and so on are called

DochEvi [55]

These number r called patterns

7 0

3 years ago

An Eastbound train (E) traveling 95 mph and a Westbound train (W) traveling 110 mph leave the same train station at different ti

Simora [160]

Answer:

The system of linear equations that can be used to determine the time that each of the trains has been traveling is:

E + W = 4 ....... Equation 1

95 E + 110W = 400 ......Equation 2

Hence,

An Eastbound train has been travelling for = (E) = 2.67 hours

A Westbound train has been travelling for = (W) = 1.33 hours

Step-by-step explanation:

An Eastbound train (E) traveling 95 mph and a Westbound train (W) traveling 110 mph leave the same train station at different times. After 4 hours, they are 4 00 miles apart. Which system of linear equations can be used to determine the time that each of the trains has been traveling?

Speed = Distance/Time

Distance = Speed × Time

Let the time

An Eastbound train = (E)

A Westbound train = (W)

E + W = 4 hours ....... Equation 1

95mph × E + 110mph × W = 400 miles

95 E + 110W = 400 miles ......Equation 2

The system of linear equations that can be used to determine the time that each of the trains has been traveling is:

E + W = 4 ....... Equation 1

95 E + 110W = 400 ......Equation 2

E = 4 - W

We substitute 4 - W for E in Equation 2

95 (4 - W) + 110W = 400

380 - 95W + 110W = 400

Collect like terms

95W - 110W = 400 - 380

15W = 20

W = 20/15

W = 1.3333333333 hours

≈ 1.33 hours

E = 4 - W

E = 4 - 1.33 hours

E = 2.67 hours

Therefore,

An Eastbound train has been travelling for = (E) = 2.67 hours

A Westbound train has been travelling for = (W) = 1.33 hours

8 0

3 years ago

Which of the following is a false statement? Solid substances need different temperature of heat to melt them. All solid substan

maria [59]

Answer:

All solid substances require the same temperature and heat to melt them.

Step-by-step explanation:

Depending on the substance, the required heat to melt it changes, and is not the same for every solid.

4 0

3 years ago

Winston owns a coffee cart. He charges $3.50 for a cup of coffee, and it costs him $1.50 to make each cup of coffee plus $100 a

jekas [21]

Answer:

50 cups of coffee

Step-by-step explanation:

So what you do is take 3.50 then subtract 1.50 to get the profit of one cup of coffee. ($2) Then you do the $100 and divide it by the $2 and find out how many cups of coffee he has to sell to get to the $100. (50)

6 0

3 years ago