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storchak [24]
3 years ago
9

Find the exact ValueSin 75 - sin 15° usingsum-to product formula​

Mathematics
1 answer:
almond37 [142]3 years ago
5 0

Answer:

Prefer the attachment for ur ans.

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Can someone answer this please?
koban [17]

Step-by-step explanation:

BDC = BAC

BAC =<u> 29°</u>

BOC = 2BDC

= 2×29

= <u>58°</u>

5 0
3 years ago
Read 2 more answers
What are the answers for 7 and 8??? please help
wolverine [178]

Answer:

7.)

Therefore FT is 33 unit.

8.)

Therefore SU is 98 unit.

Step-by-step explanation:

7.)

Given:

ΔFUT ~ ΔFHG

FU = 39

FH = 130

FG = 110

To Find:

FT = ?

Solution:

ΔFUT ~ ΔFHG  ............Given

If two triangles are similar then their sides are in proportion.  

\dfrac{FU}{FH} =\dfrac{FT}{FG} \textrm{corresponding sides of similar triangles are in proportion}\\

Substituting the values we get

\dfrac{39}{130} =\dfrac{FT}{110}\\\\FT=\dfrac{110\times 39}{130}=33\\FT=33\ unit  

Therefore FT is 33 unit.

8.)

Given:

ΔSTU ~ ΔFED

ST= 63

FE = 9

FD = 14

To Find:

SU = ?

Solution:

ΔSTU ~ ΔFED  ............Given

If two triangles are similar then their sides are in proportion.  

\dfrac{ST}{FE} =\dfrac{SU}{FD} \textrm{corresponding sides of similar triangles are in proportion}\\

Substituting the values we get

\dfrac{63}{9} =\dfrac{SU}{14}\\\\SU=\dfrac{882}{9}=98\\\\SU=98\ unit

Therefore SU is 98 unit.

5 0
3 years ago
Which angle corresponds to &lt; 8?​
Yuri [45]

Answer:

b

Step-by-step explanation:

7 0
3 years ago
If the domain (or pre-image) is (-4, -2), (5, 9), (-6, 2) and the range (or image) is
Neko [114]

Answer:  90 degrees clockwise

This is equivalent to 270 degrees counterclockwise

The rule for either rotation is (x,y) \to (y,-x)

The x and y coordinates swap places, and the new second coordinate flips from positive to negative (or vice versa).

The diagram below shows an example of this for the point (-4,-2) rotating to (-2, 4). The center of the rotation is the origin (0,0).

5 0
2 years ago
I need help asap. I don’t know how to do this
irga5000 [103]

Answer:

  10 in

Step-by-step explanation:

There are two ways to work this problem, and they give different answers. The reason for that is that <em>the data shown in the diagram is not consistent</em>.

<u>Method 1</u>

Use the area to determine the base length. The area formula is ...

  A = (1/2)bh

  20 in^2 = (1/2)(b)(4 in)

  (20 in^2)/(2 in) = b = 10 in

The missing side dimension is 10 inches.

__

<u>Method 2</u>

Use the Pythagorean theorem to find the parts of the base, then add them up.

Left of the "?" we have ...

  left^2 +4^ = 6^

  left^2 = 36 -16 = 20

  left = √20 = 2√5

Right of the "?" we have ...

  right^2 +4^2 = 8^2

  right^2 = 64 -16 = 48

  right = √48 = 4√3

So, the base length is ...

  base = left + right = 2√5 +4√3

  base ≈ 11.400 in

The missing side dimension is 11.4 inches. (The area is 22.8 in^2.)

7 0
3 years ago
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