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Zanzabum
3 years ago
15

PLEASE HELP! WILL MARK AND GIVE POINTS.

Mathematics
1 answer:
marshall27 [118]3 years ago
6 0

Answer:

im not sure but i think it might be d

Step-by-step explanation:

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In triangle JKL, tan(b°) = 3/4 and cos(b°) =4/5. If triangle JKL is dilated by a scale factor of 1/2, what is sin(b°)?
zysi [14]

Answer:

\sin (b^\circ)=\dfrac{3}{5}.

Step-by-step explanation:

It is given that,

\tan (b^\circ)=\dfrac{3}{4}

\cos (b^\circ)=\dfrac{4}{5}

If a figure is dilated, then the image is similar to the figure. It means the corresponding angles of figure and image are congruent.  

So, the value of sin(b°) after dilation is equal to the value of sin(b°) before dilation.

We know that,

\dfrac{\sin \theta}{\cos \theta}=\tan \theta

\dfrac{\sin (b^\circ)}{\cos (b^\circ)}=\tan (b^\circ)

\sin (b^\circ)=\tan (b^\circ)\times \cos (b^\circ)

\sin (b^\circ)=\dfrac{3}{4}\times \dfrac{4}{5}

\sin (b^\circ)=\dfrac{3}{5}

Therefore, \sin (b^\circ)=\dfrac{3}{5}.

5 0
4 years ago
The points P, Q, R and S all lie on the same line segment, in that order, such that the ratio of PQ : QR: RS is equal to 4:2:1.
Natasha2012 [34]

Answer:

PR = 12

Step-by-step explanation:

P-----------Q-----------R----------S

ratio

4:2:1

PS = 14

add the ration = 4 + 2 + 1 = 7

14 / 7 = 2

PQ at 4 x 2 = 8

QR at 2 x 2 = 4

RS at 1 x 2 =  2

              ------------

                   14

PR = PQ + QR

PR = 8 + 4

PR = 12

5 0
3 years ago
Read 2 more answers
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Nitella [24]
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7 0
2 years ago
Mr. Palahniuk spent 24% of his $1190 salary on groceries and deposited
ANEK [815]

Answer: 62.13%

Step-by-step explanation:

Given , Salary of Mr. Palahniuk  = $1190

Percentage of Salary he spent on groceries = 24%=0.24

Amount he deposited in his saving funds = $165

Amount he spent on groceries = (Percentage of Salary he spent on groceries) x (Salary )

= (0.24) (1190)

= $ 285.6‬

Now , Money left = (Salary) - [(Amount he deposited in his saving funds)+(Amount he spent on groceries)]

= $1190-[$285.6‬+$165]

= $1190 - $450.6

=$739.4

Percentage of  his salary is left = (Money left )÷ (Salary) x 100

= (739.4) ÷(1190) x 100

≈62.13%

Hence, the percentage of his salary is left = 62.13%

3 0
3 years ago
A function describes a proportional relationship for a set of discrete data. What is true about the graph of that function?
ololo11 [35]
The correct answer is the last choice.

When the data is discrete, it is separate. That means that the values are not connected.

And since it is proportional, it is also is a straight line.
6 0
3 years ago
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