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3 years ago

Consider the division equation "30/5=?". Select the TWO multiplication equations that correspond to the division equation.

Mathematics

1 answer:

Digiron [165]3 years ago

8 0

Answer:

5x?=30 and ?x5=30

Step-by-step explanation:

First of, these 2 are both the same, and the communitive property applies to both.

The question example is in division, since the communitive prop. doesn't apply on division, it would be almost impossible to find another answer in division form. 5x? Is asking 5 times what equals thirty, so we are using what we know to figure it out. Sorry, I can't provide a good explanation :<

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While visiting Wallawulla State Park, Joe approximated the angle of elevation to the top of a mound to be 40 degrees . After wa

katen-ka-za [31]

Answer:

Height of mound = 794 ft

Step-by-step explanation:

To illustrate the angle of elevation and distance, i have drawn it and attached below.

Now, from my diagram;

h = the height of the mound

At his first point of his trip to the foot of the mound, the angle of elevation is 40°, while the horizontal distance to the foot of the mound is "X"

So, by triangle definition,

tan(40°) = h/x

And so;

h = x tan40

h = 0.8391x - - - - (eq 1)

At his second point of the trip to the foot of the mound, Joe is now,

"(x - 450) ft" from the foot of the mound.

Thus, his angle of elevation is 40 + 18 = 58°.

So, by triangle definition,

tan(58°) = h/(x - 450)

h = (x - 450)•(tan(58°))

h = 1.6003(x - 450)

h = 1.6003x - 720.135 - - - - -(eq2)

To get the height(h) of the mound, let's equate (eq1) to (eq2).

0.8391x = 1.6003x - 720.135

1.6003x - 0.8391x = 720.135

0.7612x = 720.135

x = 720.135/0.7612

x = 946.0523 ft

Let's put this value for x in eq (1);

h = 0.8391 x 946.0523 = 793.83 ft ≈ 794ft

4 0

3 years ago

Please help me with this

Fiesta28 [93]

9514 1404 393

Answer:

91°

Step-by-step explanation:

The similarity statement tells you that angles Q and H are congruent. The measure of angle H is shown as 91°, so that is the measure of angle Q.

m∠Q = 91°

5 0

3 years ago

PLEASE LOOK at the photo and help me on these 2 questions :(!!!!!

Tems11 [23]

Answer:

1) f(g(2)) = 24

2) f(g(-1)) = -4

Step-by-step explanation:

1) GIven f(x) = x²+2x and g(x) = 2x

f(g(x)) = f(2x)

f(2x) = (2x)² + 2(2x)

f(2x) = 4x² + 4x

f(g(x)) = 4x² + 4x

f(g(2)) = 4(2)² + 4(2)

f(g(2)) = 16+8

f(g(2)) = 24

2) f(x) = x+1 and g(x) = 5x

f(g(x)) = f(5x)

f(5x)= 5x + 1

f(g(x)) = 5x + 1

f(g(-1)) = 5(-1) + 1

f(g(-1)) = -5+1

f(g(-1)) = -4

8 0

3 years ago

The typical full-time employee in a particular hotel works a 40-hour week. Last month, the hotel's 80 employees worked a total o

Mila [183]

Answer: There are 25 FTEs.

Step-by-step explanation:

Since we have given that

Number of hour week for full time employee = 40 hours

In a month we know that

Number of weeks = 4

Total number of hours in a month would be

$40\times 4\\\\=160\ hours$

If in last month, the hotel's 80 employees worked a total of 4000 hours,

So, Full time equivalent workers were employed by the hotel last month would be

$\dfrac{4000}{160}\\\\=25$

Hence, there are 25 FTEs.

7 0

3 years ago

I don't understand this!

Novosadov [1.4K]

Count the total number of objects. That is the denominator, which goes under the line. Then, only count the stars. That number is the numerator, which goes on top.

4 0

3 years ago