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storchak [24]
3 years ago
11

I need help with this​

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
8 0

Answer:

A

Step-by-step explanation:

ABC triangle is 1/2 the size of DEF triangle. In order to transform ABC to DEF, the scale has to be doubled and the point on the y-axis has to move down to 10

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In the figure below, BCA ~ STR. Find cos C, sin C, and tan C. Round your answers to the nearest hundredth.
arsen [322]

Answer:

\sin C\approx0.85\\\\\cos C \approx0.52\\\\\tan C\approx1.63

Step-by-step explanation:

According to the trigonometric ratios in aright triangle :

\sin x =\dfrac{\text{Side opposite to x}}{\text{Hypotenuse}}\\\\\cos x =\dfrac{\text{Side adjacent to x}}{\text{Hypotenuse}}\\\\\tan x=\dfrac{\sin x}{\cos x}

Given:  ΔBCA ~ ΔSTR

Since , corresponding angles of two similar triangles are equal.

So, ∠C = ∠T                            ...(i)    [Middle letter]

In triangle STR

\sin T=\dfrac{\text{Side opposite to T}}{\text{Hypotenuse}}\\\\=\dfrac{26.4}{30.9}\approx0.85\\\\\cos x =\dfrac{\text{Side adjacent to T}}{\text{Hypotenuse}}\\\\=\dfrac{16.2}{30.9}\approx0.52\\\\\tan T=\dfrac{\sin T}{\cos T}\\\\=\dfrac{0.85}{0.52}\approx1.63  ...(ii)

From (i) and (ii), we have

\sin C\approx0.85\\\\\cos C \approx0.52\\\\\tan C\approx1.63

4 0
3 years ago
After taking a 70 point test, a student guesses that he got 65 points correct. Later he finds out he got 67 points
Nataliya [291]

Answer:

Percent error = 4.29%

Step-by-step explanation:

Percent error can be defined as a measure of the extent to which an experimental value differs from the theoretical value.

Mathematically, it is given by this expression;

Percent \; error = \frac {experimental \;value - theoretical \; value}{ theoretical \;value} *100

Given the following data;

Experimental value = 67

Theoretical value = 70

Substituting into the equation, we have;

Percent \; error = \frac {67 - 70 }{ 70} *100

Percent \; error = \frac {3}{70} *100

Percent \; error =  0.04286 *100

Percent error = 4.29%

4 0
2 years ago
You have 42 coins with a total value of $3.00. Some of the coins are dimes, and the rest are quarters.
nlexa [21]

Answer:

1. $3.00+42=$3.42

2. 4 Dimes , 2 Pennies

Step-by-step explanation:

2. 4 Dimes = 40 cents , 2 pennies = 2 cents

1. Add up 3.00+42 and that is how you could get the answer for number 1 .

6 0
2 years ago
Can help me with this?
Tanzania [10]

Answer:I’m sorry this is hard I don’t think I have the right answer chose C

Step-by-step explanation:

3 0
2 years ago
A carpenter can make at most 20 tables and at most 30 chairs per day. Each
baherus [9]

Answer:Its B

Step-by-step explanation:

6 0
2 years ago
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