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Ne4ueva [31]
3 years ago
5

How do i graph 3tan(x+30)

Mathematics
1 answer:
Marina CMI [18]3 years ago
5 0
y = 3tan(x + 30)
y = 3(\frac{tan(x) + tan(30)}{1 - tan(x)tan(30)})
y = \frac{3(tan(x) + tan(30))}{1 - tan(x)tan(30)}
y = \frac{3(tan(x)) + 3(tan(30))}{1 - tan(x)tan(30)}
y = \frac{3tan(x) + 3tan(30)}{1 - tan(x)tan(30)}


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An engineer is building a bridge that should be able to hold a maximum weight of 1 ton. He builds a model of the bridge that is
MrRissso [65]

Answer:

First blank- 32000 ounces

Second blank- 2000 pounds

Yes the bridge can hold 1 ton.

Step-by-step explanation:

The ratio of the scale of the model to the real bridge = 1:4

The test model shows the model can take 8000 ounces

The real bridge will therefore take 8000 x 4 = 32000 ounces

16 ounces = 1 pound

32000 ounces =  x pounds

==>  = 32000/16 = 2000 pounds

2000 pounds = 1 ton

therefore the bridge holds 1 ton

6 0
3 years ago
Read 2 more answers
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Tamiku [17]

Answer:

80°

Step-by-step explanation:

Just multiply 40° by 2 to get the arc

4 0
3 years ago
Read 2 more answers
Ralph buys a desk that regularly sells for $250 and a desk chair that regularly sells for $145. both items are on sale at 15% of
Lunna [17]
C) (0.85 + x/100)(250+145) does not give the correct answer.

Explanation
A) works; adding the two costs together is 250+145=395.  We multiply this by 0.85 because 100%-15%=85%=0.85.  We also have x% tax, which is represented by x/100, added to 100% of the value, or 1.00.  Altogether this gives us 
395(0.85)(1+x/100) = 395(0.85 + (0.85x/100)) = 395(0.85) + 395(0.85x/100)
= 395(0.85) + 395(0.0085x)
B) works; we have 250+145 for the original price; we have 85% = 0.85 of the value; we also have 100% + x%, which is (100+x)/100.
C) does not work; (0.85+x/100)(395) does not take into consideration that you are finding the tax after taking the 85%.  This will simplify out to
0.85*395 + (x/100)(395) = 335.75 + 395x/100 = 335.75 + 3.95x, which is too much.
D) works; simplifying the expression from A, we have 395(0.85) + 395(0.0085x) = 335.75 + 3.3575x.
6 0
3 years ago
Factors can be defined as ________ which divide the dividend without leaving any reminder​
Svetradugi [14.3K]

Answer:

Factors can be defined as a number or algebraic expression which divide the dividend without leaving any reminder.

7 0
3 years ago
Solve the system of equations by substitution. 3/8 x + 1/3 y =17/24 and <br> x + 7y = 8
goblinko [34]
\left \{ {{ \frac{3}{8}x+ \frac{1}{3}y  = \frac{17}{14} } \atop {x+7y=8}} \right.

To solve this system by substitution, first isolate x in the second equation.

x+7y=8
x+7y-7y=8-7y
x=8-7y

Now, plug this expression (8-7y) for x in the top equation to solve for y.

\frac{3}{8} (8-7y)+ \frac{1}{3} y= \frac{17}{14}
3- \frac{21}{8} y+ \frac{1}{3} y= \frac{17}{24}
72-63y+8y=17
72-55y=17
-55y=17-72
-55y=-55
y=1

Now that you have y, plug it into the second equation and solve for x.

x+7y=8
x+7(1)=8
x+7=8
x=1

Last step is to plug your x- and y-values in to both equations to check your work.

\frac{3}{8} (1)+ \frac{1}{3} y= \frac{17}{24}

\frac{3}{8} * \frac{3}{3} = \frac{9}{24} ;  \frac{1}{3} * \frac{8}{8} = \frac{8}{24}

\frac{9}{24} + \frac{8}{24} = \frac{17}{24}  <--True

1+7(1)=8
1+7=8   <--True

Answer:
x=1 \\ y=1
5 0
4 years ago
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