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Olenka [21]
3 years ago
10

I need help please and thanks ​

Mathematics
2 answers:
nadya68 [22]3 years ago
6 0

Answer:

1.) 3  

2.) 11

3.)17

Step-by-step explanation:

you would want to add them up then multiply

Flura [38]3 years ago
3 0

Answer:

M<1=55

M<2=55

M<3= 70

Step-by-step explanation:

Angle 1 and 2 are equal

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If
baherus [9]

Answer:  see proof below

<u>Step-by-step explanation:</u>

Given: cos 330 = \frac{\sqrt3}{2}

Use the Double-Angle Identity: cos 2A = 2 cos² A - 1

\text{Scratchwork:}\quad \bigg(\dfrac{\sqrt3 + 2}{2\sqrt2}\bigg)^2 = \dfrac{2\sqrt3 + 4}{8}

Proof LHS → RHS:

LHS                          cos 165

Double-Angle:        cos (2 · 165) = 2 cos² 165 - 1

                             ⇒ cos 330 = 2 cos² 165 - 1

                             ⇒ 2 cos² 165  = cos 330 + 1

Given:                        2 \cos^2 165  = \dfrac{\sqrt3}{2} + 1

                              \rightarrow 2 \cos^2 165  = \dfrac{\sqrt3}{2} + \dfrac{2}{2}

Divide by 2:               \cos^2 165  = \dfrac{\sqrt3+2}{4}

                             \rightarrow \cos^2 165  = \bigg(\dfrac{2}{2}\bigg)\dfrac{\sqrt3+2}{4}

                             \rightarrow \cos^2 165  = \dfrac{2\sqrt3+4}{8}

Square root:             \sqrt{\cos^2 165}  = \sqrt{\dfrac{4+2\sqrt3}{8}}

Scratchwork:            \cos^2 165  = \bigg(\dfrac{\sqrt3+1}{2\sqrt2}\bigg)^2

                             \rightarrow \cos 165  = \pm \dfrac{\sqrt3+1}{2\sqrt2}

             Since cos 165 is in the 2nd Quadrant, the sign is NEGATIVE

                             \rightarrow \cos 165  = - \dfrac{\sqrt3+1}{2\sqrt2}

LHS = RHS \checkmark

4 0
3 years ago
Complete the proof by providing the missing statement and reasons.
seraphim [82]

2. Definition of perpendicular lines

3. Given

4. SD and DS are congruent

5. HL theorem

6 0
3 years ago
Read 2 more answers
Please show proof of how u got it ;-; :(
yanalaym [24]

First, divide the the polygon into two quadrilateral.

Then find the area of both quadrilaterals

The area of the small rectangle = 4 x 3 = 12 square feet

The area of the bigger rectangle = (9 - 3) x 14 = 6 x 14 = 84 square feet

Add both areas:

12 + 84 = 96 square feet

8 0
3 years ago
For Emily’s birthday, her father treated her and five friends to a dinner at a restaurant at the mall. Emily and her friends ord
kykrilka [37]

Answer:

58.25

Step-by-step explanation:

C is the total cost of the meal, fifty-eight dollars and twenty-five cents.

First, find the cost of the meal, which is forty-eight dollars and seventy-five cents.

To calculate the amount of the sales tax, use the proportion, amount of sales tax divided by cost of meal equals sales tax rate divided by one hundred.

Substitute the known values. Amount of sales tax divided by forty-eight dollars and seventy-five cents equals four point five divided by one hundred.

Cross multiply. One hundred times amount of the sales tax equals forty-eight dollars and seventy-five cents times four point five.

Divide both sides by one hundred to find that the sales tax equals two dollars and nineteen cents.

Then, to calculate the amount of the tip, use the proportion, amount of tip divided by cost of meal equals tip percent rate divided by one hundred.

Again, substitute the known values into the proportion, amount of tip divided by forty-eight dollars and seventy-five cents equals fifteen divided by one hundred.

Then, cross multiply. One hundred times amount of tip equals forty-eight dollars and seventy-five cents times fifteen.

And, divide both sides by one hundred to find that the tip equals seven dollars and thirty-one cents.

Finally, add the amounts together to find the total cost of the meal was fifty-eight dollars and twenty-five cents.

4 0
2 years ago
Read 2 more answers
convert 50° Fahrenheit to celsius using the following formula. round your answers to the nearest degree. 5\9 (f°-32) =c°
weqwewe [10]

First you do 50 - 32 an that equals 13, so your answer is 13

8 0
3 years ago
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