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stira [4]
4 years ago
10

What is the word form for 13,406

Mathematics
1 answer:
Paha777 [63]4 years ago
8 0
Thirteen thousand four hundred and six
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Sarah drove 116 miles in 4 hours .If she drove at a constant rate,how far did she travel each hour?
Sergio039 [100]

Answer:

29 miles

Step-by-step explanation:

116 divided by 4

7 0
3 years ago
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Three forces with magnitudes 300 Newtons, 180 Newtons, and 250 Newtons act on an object at angles −30◦ , 45◦ , and 135◦ with the
inn [45]

Answer:

  261∠36° Newtons

Step-by-step explanation:

A straightforward way to find the resultant is to add the x- and y-components of the forces:

  r = 300(cos(-30°), sin(-30°)) +180(cos(45°), sin(45°)) +250(cos(135°), sin(135°))

  = (300√3/2 +180√2/2 -250√2/2, -300/2 +180√2/2 +250√2/2)

  = (150√3 -35√2, -150 +215√2)

  ≈ (210.310, 154.056)

  ≈ 260.698∠36.22°

The resultant is approximately 261 Newtons at an angle of 36°.

_____

From components (x, y), the angle is found as arctan(y/x). The magnitude is found as √(x²+y²).

4 0
4 years ago
If i had 33 watermelons in one hand and 21 apples in another <br> what do i have?
choli [55]

Answer:

Your hands full

Step-by-step explanation:

3 0
3 years ago
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Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter
tresset_1 [31]

Answer:

For a triangle with <em>a</em> = 33, <em>c</em> = 48 and the angle \alpha=33^o, the missing side is <em>b = </em>60.4, and the missing angles are \beta=94.6^oand \gamma = 52.4^o.

Step-by-step explanation:

The Law of Sines says that in any given triangle, the ratio of any side length to the sine of its opposite angle is the same for all three sides of the triangle. This is true for any triangle, not just right triangles.

                                            \frac{\sin\alpha}{a} = \frac{\cos\beta}{b} = \frac{cos\gamma}{c}

We know two sides <em>a</em> = 33, <em>c</em> = 48 and the angle \alpha=33^o, so we use the law of sines to find the angle \gamma as follows:

\frac{ 33 }{ \sin(33^o) } =\frac{ 48 }{ \sin(\gamma) }\\\\\sin(\gamma) \cdot 33 = 48 \cdot \sin(33^o)\\\sin(\gamma) \cdot 33 = 48 \cdot 0.5446\\\sin(\gamma) \cdot 33 = 26.1427\\\sin( \gamma ) = 0.7922\\\gamma = 52.4^o

One of the basic properties of triangles is that the sum of the measure of angles, in every triangle, is 180°.

So,

180=\alpha+\beta+\gamma\\180=33+\beta+52.4\\\beta+85.4=180\\\beta=94.6^o

To find the side <em>b</em> we use the law of sines:

\frac{ 33 }{ \sin(33^o) } =\frac{ b }{ \sin(94.6^o) }\\\\b=\frac{33\sin \left(94.6^{\circ \:}\right)}{\sin \left(33^{\circ \:}\right)}\\\\b=60.4

7 0
4 years ago
Use the absolute value to express the distance between 12 and -5 on a number line
posledela
17 is the absolute value
7 0
4 years ago
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