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3 years ago

830040 in expanded form with exponets

Mathematics

1 answer:

weeeeeb [17]3 years ago

3 0

830,040 = 8 x 10^5 + 3 x 10^4 + 4 x 10

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Charra [1.4K]

Answer:

7.2

Step-by-step explanation:

Apply Law of Cosines, given that b is 13.5, c is 8.9, and Angle a is 29.

${a}^{2} = {b}^{2} + {c}^{2} - 2bc \cos(a)$

${a}^{2} = {13.5}^{2} + {8.9}^{2} - 2(13.5)(8.9) \times \cos(29)$

${a}^{2} = 182.25 + 79.21 - 240.3 \times 0.8746$

${a}^{2} = 182.25 + 79.21 - 210.1711$

$a = 7.2$

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3 years ago

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Her goal is to walk 10,000 steps each day. She measures her average step length to be 30 inches. When Janet runs, her average st

Galina-37 [17]

Answer:

1760

Step-by-step explanation:

12 inches in a foot so 5280x12 is how much inches in a mile

63360 inches in a mile

63360 divided by 36 inches

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3 years ago

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Rectangle LOSP is shown below. The lengths, in units, of some of the line segments are also shown. Line segments MQ and NR are p

Galina-37 [17]

Answer: c. OSRN

Step-by-step explanation:

Sides of similar shapes are proportional.

For Rectangle LOSP,

Length = LO = 4+6+8 = 18 units

Width = OS= 12 units

Here, $\dfrac{18}{12}=\dfrac{3}{2}$ [proportionality constant]

a. For Rectangle LMQP,

Length = MQ = 12 units

Width = LM = 4 units

Here, $\dfrac{12}{4}=3\neq\dfrac32$

LMQP is not similar to LOSP.

b. Similarly, for LNRP,

Width = LN= 4+6 = 10

length = NR = 12

$\dfrac{12}{10}\neq\dfrac32$

LNRP is not similar to LOSP.

c. For OSRN,

Length = OS = 12

Width = ON = 8

$\dfrac{12}{8}=\dfrac32$

OSRN is similar to LOSP.

d. For MNRQ,

Length= NR = 12

Width = MN = 6

$\dfrac{12}{6}=2\neq\dfrac32$

MNRQ is not similar to LOSP.

Hence, the shape similar to rectangle LOSP is OSRN.

4 0

3 years ago