Luka's weekly earnings of $475 are increased by 6% calculate his new weekly earnings

___ cosb =1/2 sin(a+b)+sin(a-b)?

vodomira [7]

Answer:

That would be sina.

Step-by-step explanation:

sin(a+b) = sinacosb + cosasinb

sin(a-b) = sinacosb - cosasinb

Adding we get sin(a+b) + sin(a-b) = 2sinaccosb

so sinacosb = 1/2sin(a+b) + sin(a-b)

8 0

2 years ago

Read 2 more answers

During a certain week, a post office sold Rs.280 worth of 14-paisas stamps. How many of these stamps did they sell?

Novosadov [1.4K]

So basically ...

You convert the rupees in paisas. One rupee is equal to one hundred paisas, so ...

280 × 100 = 28,000

And then we divide,

28,000 ÷ 14 = 2000

The post office sold 2000 stamps!

Hope this helped! :)

6 0

2 years ago

Felipe planted some seeds for a science project. One of his plants grew 6 2/7 inches in the first week, and then it grew 5 11/14

MatroZZZ [7]

Answer:

The plant grew $12\frac{1}{14}$ inches

Step-by-step explanation:

Operations with Fractions

Felipe planted seeds for a science project. One of the plants grew 6 2/7 inches in the first week and 5 11/14 inches in the second week.

We are required to find the total growth during the two weeks. We have to find the sum of:

$6\frac{2}{7}+5\frac{11}{14}$

Let's convert both fractions to improper form:

$6\frac{2}{7}+5\frac{11}{14}=6+\frac{2}{7}+5+\frac{11}{14}$

Adding the integers:

$6\frac{2}{7}+5\frac{11}{14}=11+\frac{2}{7}+\frac{11}{14}$

Now we find the LCM of 7 and 14 is 14, thus:

$6\frac{2}{7}+5\frac{11}{14}=11+\frac{4}{14}+\frac{11}{14}$

$6\frac{2}{7}+5\frac{11}{14}=11+\frac{15}{14}=11+\frac{14+1}{14}$

$6\frac{2}{7}+5\frac{11}{14}=11+1+\frac{1}{14}$

$6\frac{2}{7}+5\frac{11}{14}=12+\frac{1}{14}$

Rewriting as a mixed number:

The plant grew $12\frac{1}{14}$ inches

8 0

2 years ago

PLEASE HELP!! laboratory tests show that the lives of light bulbs are normally distributed with a mean of 750 hours and a standa

Lunna [17]

Answer:

P = 0.0215 = 2.15%

Step-by-step explanation:

First we need to convert the values of 900 and 975 to standard scores using the equation:

$z = \frac{x - \mu}{\sigma}$

Where z is the standard value, x is the original value, $\mu$ is the mean and $\sigma$ is the standard deviation. So we have that:

standard value of 900: $z = \frac{900 - 750}{75} = 2$

standard value of 975: $z = \frac{975 - 750}{75} = 3$

Now, we just need to look at the standard distribution table (z-table) for the values of z = 2 and z = 3:

z = 2 -> p_2 = 0.9772

z = 3 -> p_3 = 0.9987

We want the interval between 900 and 975 hours, so we need the interval between z = 2 and z = 3, so we just need to subtract their p-values:

P = p_3 - p_2 = 0.9987 - 0.9772 = 0.0215

So the probability is 0.0215 = 2.15%

8 0

2 years ago

Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.

Elena-2011 [213]

Given:

The length of the segment of the chord DB is 8.2 units.

The length of the segment AB is 6.9 units.

The length of the radius AC be x units.

We need to determine the value of x.

Length of BC:

Since, we know the property that, "if a radius is perpendicular to the chord, then it bisects the chord".

Thus, applying the above property, we have;

DB ≅ BC

8.2 = BC

Thus, the length of BC is 8.2 units.

Value of x:

Since, ∠B makes 90°, let us apply the Pythagorean theorem to determine the value of x.

Thus, we have;

$AC^2=AB^2+BC^2$

Substituting the values, we have;

$x^2=6.9^2+8.2^2$

$x^2=47.61+67.24$

$x^{2} =114.85$

$x=10.7$

Thus, the value of x is 10.7 units.

Hence, Option A is the correct answer.

4 0

2 years ago