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2 years ago

14 9/16- 8 1/4 rounded to the nearest whole number

Mathematics

1 answer:

Kipish [7]2 years ago

5 0

Answer:

14 9/16 - 8 1/4 = 14 9/16 - 8 4/16 = 233/16 - 132/16 = 101/16 = 6 5/16 ~~ 6

14 9/16 - 8 1/4 = 6

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Please help me !!!!!

timofeeve [1]

5.2 x 10 ^5

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2 years ago

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What is the range of the function graphed below?

nekit [7.7K]

Answer:

(-∞, 2)

Step-by-step explanation:

As we see on the graph, the range is:

(-∞, 2) or
y < 2

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2 years ago

Which of the following are equivalent to the expression 9/4(1.75−2 1/4)?

blsea [12.9K]

Answer: -1 1/8 (Decimal: -1.125)

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2 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

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

3 0

3 years ago

I will award brainliest!!

mart [117]

Answer:

In the given figure:

The reflex angle $\angle DOB=3y$ and $\angle AOD = y$

$\angle COB = \angle AOD = y$ [By vertical angle theorem]

From the given we can say that:

$\angle AOC$ and $\angle COB$ are supplementary angles.

Supplementary angles states that the two measure are add up to 180 degree.

⇒ $\angle AOC +\angle COB = 180^{\circ}$ .....[1]

then; the reflex angle DOB is:

$\angle DOB = \angle AOD + \angle AOC + \angle COB$

Substitute the given values we get;

$3.5y=y+180^{\circ}$

Subtract y from both sides we get;

$2.5 y = 180^{\circ}$

Divide both sides by 2.5 we get;

$y = 72^{\circ}$

$\angle DOB = 3y = 3.5(72) =252^{\circ}$

We have to find the non reflex $\angle DOB$

Non reflex angle DOB is;

$\angle DOB = 360^{\circ}-252^{\circ} = 108^{\circ}$

Therefore, the non-reflex angle DOB is 108 degree.

7 0

3 years ago