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3 years ago

Solution please! explain clearly

Mathematics

1 answer:

natali 33 [55]3 years ago

6 0

Answer:

Step-by-step explanation:

For some angle "a", the sine and cosine are related by ...

sin(a) = cos(π/2 -a)

That is,

sin(7π/16) = cos(π/16)

sin(5π/16) = cos(3π/16)

Then your sum becomes ...

sum = sin(π/16)² +sin(3π/16)² +cos(3π/16)² +cos(π/16)²

If we let α = π/16 and β = 3π/16, this can be written as ...

sum = (sin(α)² +cos(α)²) +(sin(β)² +cos(β)²)

sum = 1 + 1

sum = 2

The identity sin(α)² +cos(α)² = 1 is sometimes called the Pythagorean identity.

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Eric owns and operates the Hot Ham food truck. The expression 3.25b+2h gives the cost of b burgers and h hot dogs.

lapo4ka [179]

Answer:

b=2 h=8

Step-by-step explanation:

4 0

3 years ago

What is the value of z?

andreyandreev [35.5K]

Answer:

122 degrees, because x and z are alternate interior angles

122 degrees, because 58 degrees and z are same side interiors which add to 180

Step-by-step explanation:

1) we know that

m∠x=m∠z -----> by alternate interior angles

m∠x+58°=180° ----> by supplementary angles (form a linear pair)

m∠x=180°-58°=22°

therefore

m∠z=22°

2) m∠z+58°=180° ----> by same side interior angles

solve for z

m∠z=180°-58°=122°

therefore

122 degrees, because x and z are alternate interior angles

122 degrees, because 58 degrees and z are same side interiors which add to 180

4 0

3 years ago

4. IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. In a

borishaifa [10]

675 people will have score between 85 and 120

Step-by-step explanation:

Given

Mean = 100

SD = 15

If we have to find percentage of score between two values we have to find the z-score for both values and then area under the curve for both values

z-score is given by:

for a value x:

$z-score = \frac{x-mean}{SD}$

So,

For 85:

$z-score = z_1 = \frac{85-mean}{SD}\\ = \frac{85-100}{15}\\=\frac{-15}{15}\\=-1$

$z-score = z_2 = \frac{120-mean}{SD}\\ = \frac{120-100}{15}\\=\frac{20}{15}\\=1.3333$

Now we have to find the area under the curve for both values of z-score. z-score tables are used for this purpose.

So,

For z1 : 0.1587

For z2: 0.9082

The area between z11 and z2:

$z_2-z_1 = 0.9082-0.1587=0.7495$

So the probability of score between 85 and 120 is 0.7495

As the sample is of 900 people, the people with scores between 85 and 120 will be:

900*0.7495 = 674.55 people

Rounding off to nearest whole number

675 people will have score between 85 and 120

Keywords: Probability, SD

Learn more about probability at:

#LearnwithBrainly

4 0

4 years ago

2/3x+5=1 what is the solution to the equation shown?

Fudgin [204]

Answer:

x = - 6

Step-by-step explanation:

Given

$\frac{2}{3}$ x + 5 = 1 ( subtract 5 from both sides )

$\frac{2}{3}$ x = - 4

Multiply both sides by 3 to clear the fraction

2x = - 12 ( divide both sides by 2 )

x = - 6

7 0

4 years ago

Read 2 more answers

A model that is created by replacing an object in motion with a series of single pionts is called

Lady bird [3.3K]

It is called dot motion diagram

3 0

3 years ago

Solution please! explain clearly​

Solution please! explain clearly