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strojnjashka [21]
3 years ago
6

Karens batting average was 0.444. She was at bat 45 times. How many hitd did she get?

Mathematics
1 answer:
Igoryamba3 years ago
7 0
Average of 0,444 in 45 battings can be wirtten as:

45 * 44,4% = 19,98

After rounding it up it'll give us 20 and that's exactly how many hits Karen got.
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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
Write the ratio 41 to 100 as a percent
tia_tia [17]

Answer:

41\%

Step-by-step explanation:

we have the ratio

\frac{41}{100}

To write as percent, multiply the ratio by 100

so

\frac{41}{100}*100=41*100/100=41\%

3 0
3 years ago
A rectangle has an area 40 square units. The length is 6 units greater than the width.What are the dimensions?
Lostsunrise [7]

Answer:

10,4

Step-by-step explanation:

width = w

length =l = w+4

area= l*w = (w+4) * w

3 0
3 years ago
Read 2 more answers
What is the lmc of two numbers that have no common factors greater then 1
Luba_88 [7]
We can take prime numbers so they don't have a common factor other than 1.

3, and 5.

So we have to list the multiples to find the LCM

3: 3, 6, 9, 12, 15, 18
5: 5, 10, 15, 20, 25

15 is the LCM of 3 and 5

So, you can notice that if two numbers, lets call them a and b, have no common factor, then a \times b is the LCM.

Hope that helped :)

6 0
3 years ago
I honestly don't even know where to start //// on his last 4 tests , Danilo scored 55% 78% 84% and 93%. What score should he get
skelet666 [1.2K]

Answer:

The answer to your question is He must get 80%

Step-by-step explanation:

Data

Scores 55%, 78%, 84%, 93% and X

Average 80%

Process

1.- Write a equation to solve this problem

- There are five scores

Score 1 = S1 = 55

Score 2 = S2 =  78

Score 3 = S3 = 84

Score 4 = S4 = 93

Score 5 = S5 = X

Equation

               Average = (S1 + S2 + S3 + S4 + S5) / 5

- Solve for S5

               5 Average = S1 + S2 + S3 + S4 + S5

               S5 = 5 Average - S1 - S2 - S3 - S4

- Substitution

               S5 = 5(80) - 55 - 78 - 84 - 93

- Simplification

               S5 = 400 - 310

- Result

               S5 = 90

5 0
3 years ago
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