Jordan has some music books. he will buy 9 new music books each year. he will have 52 music books in 5 years.

A pole that is 3.1 m tall casts a shadow that is 1.57 m long. At the same time, a nearby tower casts a shadow that id 50.5 m lon

hammer [34]

Step-by-step explanation:

an object and its shadow create a right-angled triangle.

2 objects and their shadows at the same time create therefore two similar right-angled triangular

triangles.

that means the angles are the same, and each side length of one triangle correlates to the corresponding side length of the other triangle by the same factor.

so, when we know the factor of one pair of sides, we can calculate the lengths of the others by using the same factor.

therefore,

1.57 × f = 50.5

f = 50.5 / 1.57 = 32.1656051...

the height of the tower is then

3.1 × f = 3.1 × 32.1656051... = 99.7133758... m ≈ 100 m

5 0

2 years ago

Please help me with this problem.

son4ous [18]

Answer:

y = 10/2x + 0

Step-by-step explanation:

Slope Int Form: y = m(slope)x + b(y-intercept)

The number before the x is the slope. To find the slope, count how far up or down and how far to the right or left. The b in the equation is the y-int so find the y-int of the graph.

7 0

2 years ago

Write the given expression in terms of i : √-245

tankabanditka [31]

Okay, so first things first:
i = $\sqrt{-1} 
$
That said, no answer that has -245 is correct.

Now we just need to solve $\sqrt{245}$
245/5=5*49
$\sqrt{5} * \sqrt{49} = 7i*\sqrt{5}$
So, that's your answer, option D.

3 0

3 years ago

I need some help with this

Korvikt [17]

The following can be deduced from the expressions

m ∠ D = 4 × m ∠ A
m ∠ B = 3 × m ∠ A-12

Please note that the sum of angles in a triangle is 180 degress. Therefore,

M∠ A + m ∠ B + m ∠ D = 180equation(3)

Substitute for equation 1 and 2 in equation 3 as shown below

m ∠ A + 3 × m ∠ A - 12^0 + 4 x m ∠ A =180^0
m ∠ A + 3 × m ∠ A + 4 x m ∠ A = 180^0+12^0
8m ∠ A = 192^0
m ∠ A= 192^0/8
m ∠ A=24^0

Substitute for m∠A= 24 in equation 1 and 2 as shown below

m ∠ D = 4 × m ∠ A
m ∠ D = 4 × 24^0
m ∠ D = 96^0
m ∠ B = 3 × mA - 12^0
m ∠ B = 3 × 24^0 - 12
m ∠ B = 72^0 - 12^0

,

∠= °

∠= °

∠= °

5 0

3 years ago

the phrase “is a function of” gets used in non-mathematical speech as well as mathematical mathematical speech in sentences like

Tanya [424]

Answer:

Step-by-step explanation:

This is a very interesting question. I'm going to answer no, but don't take that to mean that the question is not worthwhile. It is.

In math, function has the meaning of considering ordered pairs. Here are 4 such ordered pairs.

(1,2)

(2,4)

(1,-3)

(5,9)

They are really not related to one another except all are ordered pairs.

Here's the math definition. If one of the x values (1,2,1,5) has more than 1 y value, you do not have a function.

1 has 2 y values, 2 and -3. Therefore the 4 points do not form a function

if you change the first (1,__) to 0 and your ordered pair becomes (0,2), all is well and you do have a function.

Whether you understand this or not, you have to see that a math function and a biology function are very different. The math function has numbers and those numbers have to obey a rule.

The biology function seems to be saying that how your mom and dad brought you up will determine what foods you like.

Those two uses are very different. How your mom brought you up is related to food. It could be anything else like "Being a knife carrying gang member is a function of where you live."

4 0

3 years ago