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3 years ago

Help math ITS EASY IF U LOKE RATIO

Mathematics

1 answer:

scoundrel [369]3 years ago

7 0

You have the right one selected.

The answer is 2:1

To find this take each side of ABC and its corresponding side on DEF, then simplify. You can treat ratios just like fractions, so simplify them in the same way.

20:10 becomes 2:1

12:6 becomes 2:1

16:8 becomes 2:1

You might be interested in

Find an example for each of vectors x, y ∈ V in R.

rjkz [21]

(a) Both conditions are satisfied with x = (1, 0) for $\mathbb R^2$ and x = (1, 0, 0) for $\mathbb R^3$ :

||(1, 0)|| = √(1² + 0²) = 1

max{1, 0} = 1

||(1, 0, 0)|| = √(1² + 0² + 0²) = 1

max{1, 0, 0} = 1

(b) This is the well-known triangle inequality. Equality holds if one of x or y is the zero vector, or if x = y. For example, in $\mathbb R^2$ , take x = (0, 0) and y = (1, 1). Then

||x + y|| = ||(0, 0) + (1, 1)|| = ||(1, 1)|| = √(1² + 1²) = √2

||x|| + ||y|| = ||(0, 0)|| + ||(1, 1)|| = √(0² + 0²) + √(1² + 1²) = √2

The left side is strictly smaller if both vectors are non-zero and not equal. For example, if x = (1, 0) and y = (0, 1), then

||x + y|| = ||(1, 0) + (0, 1)|| = ||(1, 1)|| = √(1² + 1²) = √2

||x|| + ||y|| = ||(1, 0)|| + ||(0, 1)|| = √(1² + 0²) + √(0² + 1²) = 2

and of course √2 < 2.

Similarly, in $\mathbb R^3$ you can use x = (0, 0, 0) and y = (1, 1, 1) for the equality, and x = (1, 0, 0) and y = (0, 1, 0) for the inequality.

x • y = ||x|| ||y|| cos(θ),

where θ is the angle between the vectors x and y. Both sides are scalar, so taking the norm gives

||x • y|| = ||(||x|| ||y|| cos(θ)|| = ||x|| ||y|| |cos(θ)|

Suppose x = (0, 0) and y = (1, 1). Then

||x • y|| = |(0, 0) • (1, 1)| = 0

||x|| • ||y|| = ||(0, 0)|| • ||(1, 1)|| = 0 • √2 = 0

For the inequality, recall that cos(θ) is bounded between -1 and 1, so 0 ≤ |cos(θ)| ≤ 1, with |cos(θ)| = 0 if x and y are perpendicular to one another, and |cos(θ)| = 1 if x and y are (anti-)parallel. You get everything in between for any acute angle θ. So take x = (1, 0) and y = (1, 1). Then

||x • y|| = |(1, 0) • (1, 1)| = |1| = 1

||x|| • ||y|| = ||(1, 0)|| • ||(1, 1)|| = 1 • √2 = √2

In $\mathbb R^3$ , you can use the vectors x = (1, 0, 0) and y = (1, 1, 1).

8 0

3 years ago

The table below shows the typical hours worked by employees at a company. A salaried employee makes $67,000 per year. Hourly emp

alukav5142 [94]

Answer:

Salaried pay. Salaried employees make more per week than hourly employees.

Step-by-step explanation:

A salaried employee makes $67,000 per year. To know which option is better, we need to calculate how much hourly employees make in year.

An hourly employee needs to work 44 hours a week (0+10+8+8+7+6.5+4.5 = 40). So the first 40 hours will be paid 25$ per hour and the next 4 will be paid $37.50 per hour. So an hourly employee will make $1150 a week (40*$25 + 4*$37.50 = $1150).

Considering that a month has 4 weeks, and a year has 12 months, an hourly employee will make $55,200 a year ($1150*4*12=$55,200).

An hourly employee makes $55,200 a year, while a salaried employee makes $67,000. So I would recommend the option c) to a new employee.

8 0

3 years ago

Read 2 more answers

Solve the exponential equation use a calculator to obtain a decimal approximation correct to two decimal place for the solution.

svetlana [45]

6^(8x) = 4
log 6^(8x) = log 4
8x log 6 = log 4
x = log 4 / 8log 6 = 0.10 to two decimal places.

3 0

3 years ago

The length of the missing side is: ?m

victus00 [196]

Answer:

85 ft

Step-by-step explanation:

for all right triangles, triangles with a 90 degree angle, the sides are equal to $a^{2} + b^{2} = c^{2}$ where c is the hypotenuse, or the longest side.

so... $40^{2} + 75^{2} = c^{2}$

$7225 = c^{2}$

c= 85

6 0

3 years ago

4 3/10 divided by 3/5

inysia [295]

Answer:

7.16

Step-by-step explanation:

5 0

3 years ago