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3 years ago

12

Jocelyn estimates that a piece of wood measures 5.5 cm. If it actually measures 5.62, what is the percent error of Jocelyns esti

mate

1 answer:

goldenfox [79]3 years ago

7 0

Answer: The percent error is -2.1352% of Jocelyn's estimate.

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Find the equation of a line perpendicular to -4x+y=10 that passes through the point (-4,9)

Oliga [24]

Answer:

y=-1/4x+8

Step-by-step explanation:

To find the equation of a line that is perpendicular to a line, you would take the opposite reciprocal of the slope.

Before that, we need to change the equation into slope-intercept form.

-4x+y=10

y=4x+10

The opposite reciprocal of the slope is -1/4.

Now, let's use the point-slope formula to find our equation of the line that passes through (-4,9).

y-y1=m(x-x1)

y-9=-1/4(x-(-4))

y-9=-1/4x-1

y=-1/4x+8

4 0

3 years ago

∠A and ∠B are supplementary, and ∠A and ∠C are supplementary. Which conclusion is valid? Select one: A. ∠B and ∠C are supplement

zysi [14]

Option D is the correct answer.

Answer:

D. ∠B and ∠C are congruent.

Step-by-step explanation:

Since, ∠A and ∠B are supplementary.

Therefore,

∠A + ∠B = 180°.....(1)

Since, ∠A and ∠C are supplementary.

Therefore,

∠A + ∠C = 180°.....(2)

From equations (1) & (2)

∠A + ∠B = ∠A + ∠C

=> ∠B = ∠C

Hence, ∠B and ∠C are congruent.

4 0

4 years ago

A safety regulation states that the maximum angle of elevation for a rescue ladder is 72°. A fire department's longest ladder is

Julli [10]

Answer:

The maximum safe rescue height is 104.6 feet above the height of the ground.

Step-by-step explanation:

Consider a triangle ABC where C is the point where the rescue ladder is standing and AB be the building and Ladder making an angle of 72° as shown.

We have to find the height of the building.

Let x be the height of building

Using Trigonometric ratio,

$\sin C=\frac{\text{Perpendicular}}{\text{Hypotenuse}}$

$\sin 72^{\circ}=\frac{AB}{BC}$

$\sin 72^{\circ}=\frac{x}{110}$

$x=110 \times \sin 72^{\circ}$

$x=104.6$

So, the maximum safe rescue height is 104.6 feet above the height of

the ground.

5 0

3 years ago

Read 2 more answers

What is the middle term of the product of (5a - 7)(2a - 1)?

rodikova [14]

(5a-7) (2a-1) = -19a

7 0

3 years ago

Please Help! Solve the equation for x.

SOVA2 [1]

Answer:

A

Step-by-step explanation:

Given

$\frac{1}{3}$ x - 8 = - 12 ( multiply through by 3 to clear the fraction )

x - 24 = - 36 ( add 24 to both sides )

x = - 12 → A

6 0

3 years ago