All categories

3 years ago

If the angles are represented in degrees, find both angles: sin(x + 7) = cos(4x + 8)

Mathematics

2 answers:

ValentinkaMS [17]3 years ago

7 0

Answer:

x = -1/3

Step-by-step explanation:

We have,

sin(x + 7) = cos(4x + 8)

We need to find the value of x.

We know that,

sin(90-x) = cosx

So,

sin(90-(x + 7)) = cos(4x + 8)

cos(x+7) = cos(4x + 8)

i.e.

(X+7) = (4x+8)

7-8 = 4x-x

-1 = 3x

x = -1/3

docker41 [41]3 years ago

6 0

Answer:

sin(22 ∘ ) = cos(68∘ )

Step-by-step explanation:

Sin(x+7)=cos(4x+8)

(x+7) + (4x+8) = 90

x + 7 + 4x + 8 = 90

5x + 15 = 90

−15 = −15

5x/5 = 75/5

x = 15

Answer: sin(22 ∘ ) = cos(68∘ )

You might be interested in

Which solid figure has five faces, five vertices, and eight edges

Cloud [144]

1) Triangular pyramid

2) A cone

3) I don't have the picture of the figure so I don't know

5 0

4 years ago

Solve for the area of the triangle in each of the following problems.

seraphim [82]

Answer:

area of triangle = 1/2×base×height

area of triangle =1/2×15m×16m

area of triangle =120m²

7 0

3 years ago

How do the 5s in 50.8 and 18.35 compare?

telo118 [61]

The value of the 5 in 50.8 is 1,000 times the value of the 5 in 18.35 ⇒ 1st answer

Step-by-step explanation:

Let us revise some important notes in a number:

Every digit in a number has a place value
Place value is the value represented by a digit in a number
Ex: the place value of 2 in the number 2,345 is 1,000 because 2 is in the thousands place, the place value of 9 in 12.29 is 0.01 because 9 is in the hundredths place

∵ The number is 50.8

∵ 5 is in the tens place

∴ The place value of 5 is 10

∵ The number is 18.35

∵ 5 is in the hundredths place

∴ The place value of 5 is 0.01

Let us compare between the places value of 5 in the two numbers

Let x the number which multiplying by the hundredth digit to give the ten digit

∵ 10 = x × 0.01

∴ 10 = 0.01 x

- Divide both sides by 0.01

∴ 1,000 = x

∵ 5 × 10 = 0.05 × 1000

∴ 50 = 50

∴ The value of 5 in 50.8 = 1,000 × the value of 5 in 18.35

The value of the 5 in 50.8 is 1,000 times the value of the 5 in 18.35

Learn more:

You can learn more about the place value in brainly.com/question/13174282

#LearnwithBrainly

6 0

4 years ago

But, during the same summer, teachers stopped wearing high heels; each of them became 4% shorter. Copy and fill in the chart. Te

alexgriva [62]

Answer:

It is given that,

'When the teachers stopped wearing heels, they became 4% shorter'.

So, the relation becomes,

Height without heels = Height with heels - 4% of height with heels

Then, we have,

1. Ms. Mathey is 190 cm with heels.

So, Ms. Mathey = 190-4% of 190 = 190 - 7.6 = 182.4 cm without heels

2. Mrs. Meansy is 162.5 cm with heels.

So, Mrs. Meansy = 162.5-4% of 162.5 = 162.5 - 6.5 = 156 cm without heels

3. Ms. Cool is 140 cm with heels.

So, Ms. Cool = 140-4% of 140 = 140 - 5.6 = 134.4 cm without heels

Also, the relation can be written as,

Height with heels = Height without heels + 4% of height without heels

4. Miss Short is 155.1 cm without heels

So, Miss Short = 155.1+4% of 155.1 = 155.1+6.2 = 161.3 cm with heels

5. Miss Lora is 159.8 cm without heels

So, Miss Lora = 159.8+4% of 159.8 = 159.8+6.4 = 166.2 cm with heels

Thus, the final table is,

Height with Heels Height without Heels

Ms. Mathey 190 cm 182.4 cm

Mrs. Meansy 162.5 cm 156 cm

Ms. Cool 140 cm 134.4 cm

Miss Short 161.3 cm 155.1 cm

Miss Lora 166.2 cm 159.8 cm

8 0

3 years ago

I’m struggling on both of them can you give both answers

Leona [35]

4.16 hours and 4 cups

Step-by-step explanation:

10. To find the % of something simply turn 5/6 in to a decimal (.83) then times it by the number you want .83 * 60 = 50 so its about 50 min each class, just times it by 5 =250 and lastly divide it by 60 for hours 4.16

11. Simply times it by 6, 2/3*6= 4 cups

4 0

3 years ago

Read 2 more answers