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BARSIC [14]
3 years ago
5

Suppose you only have hundreds, ten's, and ones blocks. What are two different ways you could make the number 1,718

Mathematics
1 answer:
Viktor [21]3 years ago
3 0
17 hundreds 1 ten 8 ones --- 17 hundreds 18 ones
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The magnitude and direction of two vectors are shown in the diagram. What is the magnitude of their sum? ​
VLD [36.1K]

Separate the vectors into their <em>x</em>- and <em>y</em>-components. Let <em>u</em> be the vector on the right and <em>v</em> the vector on the left, so that

<em>u</em> = 4 cos(45°) <em>x</em> + 4 sin(45°) <em>y</em>

<em>v</em> = 2 cos(135°) <em>x</em> + 2 sin(135°) <em>y</em>

where <em>x</em> and <em>y</em> denote the unit vectors in the <em>x</em> and <em>y</em> directions.

Then the sum is

<em>u</em> + <em>v</em> = (4 cos(45°) + 2 cos(135°)) <em>x</em> + (4 sin(45°) + 2 sin(135°)) <em>y</em>

and its magnitude is

||<em>u</em> + <em>v</em>|| = √((4 cos(45°) + 2 cos(135°))² + (4 sin(45°) + 2 sin(135°))²)

… = √(16 cos²(45°) + 16 cos(45°) cos(135°) + 4 cos²(135°) + 16 sin²(45°) + 16 sin(45°) sin(135°) + 4 sin²(135°))

… = √(16 (cos²(45°) + sin²(45°)) + 16 (cos(45°) cos(135°) + sin(45°) sin(135°)) + 4 (cos²(135°) + sin²(135°)))

… = √(16 + 16 cos(135° - 45°) + 4)

… = √(20 + 16 cos(90°))

… = √20 = 2√5

5 0
3 years ago
Read 2 more answers
The sum of three consecutive odd integers is 18 less than 5 times the middle number. Find the 3 integers. Use an algebraic solut
Lilit [14]

X +(x+2) + (x+4) = 5(x+2)-18

3x+6 = 5x+10-18

3x+6 = 5x-8

3x=5x-14

-2x=-14

x=7

(x+2) =9

(x+4) =11

7 + 9+ 11 =27

5(9)-18 =45-18 =27


3 numbers are 7, 9 & 11

3 0
3 years ago
what is the probability that a person who is older than 35 years has a hemoglobin level between 9 and 11
777dan777 [17]
Thr probability is calculated from the data gathered from tests on a large number of people. There's undoubtedly some data included with this question that you neglected to copy. Without it, it's not possible to come up with an answer.
4 0
3 years ago
in order to determine her pulse rate, junes nurse counted 18 beats in her pulse in 15 seconds. at this rate, how many beats woul
DerKrebs [107]
In this Problem you can use the Cross Multiplication.
If in 15 seconds the nurse counted 18 beats, so in 60 seconds she will count x beats.

15 seconds = 18 beats
60 seconds = x beats
You use the cross multiplication and multiply 60 by 18 and 15 by x, so you get:
15x = 60 * 18
15x = 1080

Then, you divide 15x and 1080 by 15 each, so you get:
x = 72

So, the Nurse counted 72 beats in 60 seconds

Hope this Helps :)
4 0
3 years ago
Read 2 more answers
Work out the area of the triangle. 13m 12m and 5m​
Advocard [28]

Answer:

30m²

Step-by-step explanation:

To find the area of a triangle, you need to ensure that the triangle is a right-angled triangle. We can use the Pythagoras Theorem to help us prove that.

a² + b² = c²

5² + 12² = 169

13² = 169

By converse of Pythagoras Theorem, the triangle is a right-angled triangle.

Thus, you can directly find the area of the triangle using the formula: base × height ÷ 2.

Area = 12 × 5 ÷ 2

        = 30m²

6 0
3 years ago
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