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3 years ago

Re-write a unit rate for the situation. Round to the nearest hundredth if necessary. Driving 140 miles in 2 hours 45 minutes.

2 answers:

7 0

To simplify:

Convert the hours into minutes and add it onto the 45 minutes.

60+60+45=165

Divide distance by time to find unit rate:

140/165=0.848

Answer: About 0.85 miles per minute

Anettt [7]3 years ago

7 0

2 hours 45 minutes = 2 3/4 hours

miles per hour = 140 / 2 3/4 = 140 / 11/4 = 140 * 4/11 = 50.91 mph to
nearest hundredth.

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Answer:

I think it is D.

Step-by-step explanation:

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3 years ago

Please help! #2a and #2b

kogti [31]

Hey there!!

( a ) 1 + 3/x²-1 = 2/x-1

x²-1+3/x²-1 = 2/x-1

x²+2/x²-1 = 2/x-1

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I wrote this with the identity a²-b² = (a+b)(a-b)

x²+2/(x-1)(x+1) = 2/x-1

Multiplying (x-1)(x+1) on both sides

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x²+2 = 2(x+1)

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x²-2x = 0

x(x-2)=0

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x-2=0

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x = 0 and 2

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x+3 = x²+2x+1

x+3-x²-2x-1=0

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3 years ago

Find the slope of the line represented in the graph

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3 years ago

(answer questions about the picture above)

jeka57 [31]

Answer:

Part a) The dilation is a contraction

Part b) The scale factor is 0.75

Part c) $AR=1.1\ cm$

Part d) $TN=4.8\ cm$

Step-by-step explanation:

Part a) Assume ∆TRI was dilated to become the image ∆TAN. Is the dilation an expansion or a contraction?

We have that

The pre-image is the triangle TRI (original figure)

The image is the triangle TAN (dilated figure)

we know that

If the image is smaller than the pre-image then the dilation is a contraction or reduction

If the image is greater than the pre-image then the dilation is a expansion or enlargement

The triangle TAN is smaller than triangle TRI

the image is smaller than the pre-image

therefore

The dilation is a contraction

Part b) What is the scale factor?

we know that

A dilation is a non-rigid transformation that produces similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In this problem

triangle TAN ~ triangle TRI

Let

z ----> the scale factor

$z=\frac{AN}{RI}$

AN and RI are corresponding sides

substitute the given values

$z=\frac{6}{8}=0.75$

Part c) Calculate AR. Show your work

Remember that the ratio of its corresponding sides is proportional and is equal to the scale factor

$\frac{TA}{TR}=z$

substitute the given values

$\frac{3.3}{TR}=0.75$

Solve for TR

$TR=3.3/0.75\\TR=4.4\ cm$

Find the length of AR

we know that

$TR=TA+AR$ ----> by segment addition postulate

substitute the given values

$4.4=3.3+AR\\AR=4.4-3.3=1.1\ cm$

Part d) Use the Side-Splitting Theorem to find TN.

we know that

The side splitter theorem states that if a line is parallel to a side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally

Applying the Side-Splitting Theorem

$\frac{TN}{NI}=\frac{TA}{AR}$

substitute the given values

$\frac{TN}{1.6}=\frac{3.3}{1.1}$

solve for TN

$TN=1.6(3.3)/1.1\\TN=4.8\ cm$

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4 years ago

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mafiozo [28]

Answer:

Step-by-step explanation:

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4 years ago