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Dvinal [7]
3 years ago
10

A passenger car will go 465 miles on 15.5 gallons of gasoline in city driving. What is the rate in miles per​ gallon? 10 pts

Mathematics
1 answer:
iren2701 [21]3 years ago
6 0

Answer:

30 miles per gallon

Step-by-step explanation:

465 / 15.5 = 30

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Show that the following statement is an identity by transforming the left side into the right side. sin θ (sec θ + csc θ) = tan
ExtremeBDS [4]

Answer:

Step-by-step explanation:

Required to prove that:

Sin θ(Sec θ + Cosec θ)= tan θ+1

Steps:

Recall sec θ= 1/cos θ and cosec θ=1/sin θ

Substitution into the Left Hand Side gives:

Sin θ(Sec θ + Cosec θ)

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Expanding the Brackets

=sinθ/cos θ + sinθ/sinθ

=tanθ+1 which is the Right Hand Side as required.

Note that from trigonometry sinθ/cosθ = tan θ

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3 years ago
What is the value of x?
Papessa [141]
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5 0
3 years ago
Shift y=5x 3 units up
77julia77 [94]

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<u>Step-by-step explanation:</u>

In mathematics, a function is a relation between sets that associates to every element of a first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.

Here we have , y=5x . Function y = 5x is a straight line passing through origin and having a slope of 5  . Now we need to increment this function 3 units up i.e. y = 5x + 3  , This a straight line passing through x-axis at  \frac{-3}{5} and y-axis at 3. For your reference , following graph of y= 5x and y = 5x + 3 is attached .

5 0
3 years ago
If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. *
damaskus [11]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
If a 40​-foot tree casts a 12​-foot ​shadow, find the length of the shadow cast by a 26 dash foot tree?
Sveta_85 [38]

Answer:

7.8 feet

Step-by-step explanation:

The  shadow, the ground and the  distance between the top of the tree and end of the shadow form 2 right-angled triangles which are similar.

So corresponding sides are in the same ratio. Therefore:-

40 / 12 = 26/x   where x is the length of shadow cast by the smaller tree.

40x = 12*26

x = (12*26) / 40

= 7.8 feet



6 0
3 years ago
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