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klemol [59]
3 years ago
14

Caleb bought groceries and paid $1.60 in sales tax.the sales tax rate is 2.5% What was the price of Caleb’s groceries,before tax

Mathematics
1 answer:
Goryan [66]3 years ago
7 0

Let price of the Caleb's groceries was $x.

Given that tax rate is 2.5% or 0.025

Then sales tax is given by product of 0.025 and x.

which is 0.025x.

Given that tax paid is $1.60 so both must be equal

0.025x=1.6

divide both side by 0.025

x=1.6/0.025

x=64

Hence final answer is $64.

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How would I find angle B for this bridge? What formula would I use?
astraxan [27]
The bridge attached is drawn according to given dimensions, and it doesn't look right.  Please double check the given dimensions.

Calculations:
Horizontal part of bottom chord below the 70 degree triangle 
= 15.1*cos(70) = 5.16  (which is a major prt of the 6.3 units.
Height of vertical pieces DF and EH
= 15.1*sin(70) = 14.19
Note that structurally, DF and EH do not help in reducing stress on the bridge, since they are perpendicular to the bottom chord.

Therefore 
angle B = atan(14.19/(6.3-5.16))=85.41 degrees

I believe the whole geometry does not look right, esthetically, and structurally, since the compression members are much longer than the tension members in the middle.  (The vertical members carry no force.) 
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Write the equation of the trigonometric graph.
prisoha [69]

Answer:

f(x)= \sin(6x)+3

Step-by-step explanation:

The parent function of this graph is:  y = sin(x)

The sine function is periodic, meaning it repeats forever.

Standard form of a sine function:

f(x) = \sf A \sin (B(x + C)) + D

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  • 2π/B = period (horizontal distance between consecutive peaks)
  • C = phase shift (horizontal shift - positive is to the left)
  • D = vertical shift

The parent function y = sin(x) has the following:

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  • Phase shift (C) = 0
  • Vertical shift (D) = 0
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From inspection of the given graph:

  • Amplitude (A) = 1
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  • Phase shift (C) = 0
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\sf If\:Period=\dfrac{\pi}{3} \implies \dfrac{2 \pi}{B}=\dfrac{\pi}{3}\implies B=6

Substituting the values into the standard form:

\implies f(x) =1 \sin (6(x + 0)) + 3

\implies f(x) = \sin (6x) + 3

Therefore, the equation of the given trigonometric graph is:

f(x)= \sin(6x)+3

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