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Tamiku [17]
3 years ago
14

Determine the area of the rectangle below

Mathematics
2 answers:
katrin2010 [14]3 years ago
6 0

Answer:

Formula: bh

Plug in Values: 4.33 and 2.5

Area: 10.825 inches squared

Step-by-step explanation:

Before anything, when you converted 4 1/3 to 4.3, I recommend doing 4.33. ‘Ight, let’s begin.

The formula is base times height, therefore, you multiply the base (2.5) times the height (4.33).

2.5x4.33=10.825

alekssr [168]3 years ago
5 0

Answer:

A=10.75

Step-by-step explanation:

Formula; A=wl

Plug in values; 2.5·4.3

Area ; 10.75

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A ladder, 14 feet long, is leaning against
PolarNik [594]

Answer:

12.12ft

Step-by-step explanation:

14² = 7² + x²

x² = 14² - 7²

x² = 196 - 49

x² = 147

x = √147

x = 12.12ft

6 0
3 years ago
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A state vector X for a four-state Markov chain is such that the system is four times as likely to be in state 2 as in 4, is not
GREYUIT [131]
All the components in the state vector need to sum to 1. You're given that component corresponding to state 1 is 0.2, and that the component for state 3 is 0.

That leaves states 2 and 4, for which you're told that the component for state 2 is four times as large. If x_i is the component for state i, then you have

x_1+x_2+x_3+x_4=1\iff 0.2+4x_4+0+x_4=1\implies5x_4=0.8\implies x_4=0.16

which means x_2=4x_4=0.64. So the state vector is \mathbf x=(0.2,0.64,0,0.16).
8 0
3 years ago
In triangle XYZ, angle Y = 45º and angle Z = 60º. If XZ = 4, then what is XY?
Katena32 [7]

Answer:

XY = 4.9

Step-by-step explanation:

Given

XZ= 4

\angle Y = 45

\angle Z = 60

Required

Determine the measure of side XY

To do this, we make use of sine law. This is as follows:

\frac{a}{\sin\ A} = \frac{b}{\sin\ B} = \frac{c}{\sin\ C}

In this case:

\frac{4}{\sin(45)} = \frac{XY}{\sin(60)}

Cross Multiply

XY * \sin(45) = 4 * \sin(60)

XY * 0.7071 = 4 * 0.8660

Make XY the subject

XY = \frac{4 * 0.8660}{0.7071}

XY = \frac{3.4640}{0.7071}

XY = 4.89888276057

XY = 4.9 -- <em>approximated</em>

3 0
3 years ago
-2 1/3 × 2 5/8 Perform the indicated operation
Karolina [17]

Answer:

-6 1/8

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=-7/3 *21/8

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8 0
4 years ago
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Please help me factor this!! Thanks!
Goryan [66]
We need to find two numbers that multiply to 24 (last coefficient) and add to 10 (middle coefficient). Through trial and error, the two values are 6 and 4

6 + 4 = 10
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So we can break up the 10ab into 6ab+4ab and then use factor by grouping

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Therefore, the original expression factors completely to (a+4b)(a+6b)
5 0
3 years ago
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