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attashe74 [19]
3 years ago
8

Solve this equation |x-4|+4>9

Mathematics
1 answer:
g100num [7]3 years ago
3 0
|x - 4| + 4 > 9 \\ |x - 4| >5 \\ x - 4 > 5 \: or \: x - 4 < - 5 \\ x > 9 \: or \: x < - 1
Btw it's an inequality not an equation
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Wally wants to determine the height of a statue that casts a 164-inch shadow by comparing it to his own height and shadow length
nataly862011 [7]

We have been given that Wally wants to determine the height of a statue that casts a 164-inch shadow by comparing it to his own height and shadow length. Wally is 68 inches tall, casts a shadow that is 41 inches in length.

We will use proportions to solve for the height of the statue because proportions state that ratio between two proportional quantities is same.

\frac{\text{Height of statue}}{\text{Shadow of statue}}=\frac{\text{Height of Wally}}{\text{Shadow of Wally}}

Upon substituting our given values in above equation, we will get:

\frac{\text{Height of statue}}{\text{164 cm}}=\frac{\text{68 inch}}{\text{41 inch}}

\frac{\text{Height of statue}}{\text{164 cm}}\times \text{164 cm}=\frac{\text{68 inch}}{\text{41 inch}}\times \text{164 cm}

\text{Height of statue}=\frac{\text{68 inch}}{1}\times 4

\text{Height of statue}=272\text{ inches}

Therefore, the height of the statue is 272 inches.

5 0
2 years ago
Round the number 3,250.0883 to the nearest hundredth.
sineoko [7]
Hundredth

The number will be 3.250.09

Other examples:
12 = 10
1.09 = 1.10
899.765=899.77
3 0
3 years ago
Read 2 more answers
Write the equation of the function that<br> can be modeled by this table?
Alika [10]

Answer:

<em>y = 3x + 5</em>

Step-by-step explanation:

y = mx + b (slope-intercept form)

( x_{1} , y_{1} )

( x_{2} , y_{2} )

Slope m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }

y - y_{1} = m( x - x_{1} )  (point-slope form of linear equation)

~~~~~~~~~~~~~~~

3 0
2 years ago
Solve for b.<br> r = (b-5)m
alukav5142 [94]

Answer:

b=5m+r/m

Step-by-step explanation:

Let's solve for b.

r=(b−5)(m)

Step 1: Flip the equation.

bm−5m=r

Step 2: Add 5m to both sides.

bm−5m+5m=r+5m

bm=5m+r

Step 3: Divide both sides by m.

bm/m=5m+r/m

b=5m+r/m

Answer:

b=5m+r/m

6 0
2 years ago
Read 2 more answers
The chairlift at a ski resort rises a total of 2600 feet from where it starts. The angle of elevation is about 22.3 degrees. How
Monica [59]

Answer:

6852 feet .

Step-by-step explanation:

Refer the attached figure

The chairlift at a ski resort rises a total of 2600 feet from where it starts. i.e.AB = 2600 feet

The angle of elevation is about 22.3 degrees.i.e.∠ACB= 22.3°

We are supposed to find  How far do riders travel on the lift i.e.AC

In ΔABC

We will use trigonometric ratio

Sin\theta =\frac{Perpendicular}{Hypotenuse}

Sin22.3^{\circ} =\frac{AB}{AC}

AC=\frac{2600}{Sin22.3^{\circ}}

AC=\frac{2600}{0.379456159529}

AC=6851.9

So, riders travel 6852 feet .

3 0
3 years ago
Read 2 more answers
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