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3 years ago

Determine the value of x in this polygon.

Mathematics

1 answer:

Nata [24]3 years ago

6 0

Answer:

X24

Step-by-step explanation:

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2. Convert 3.554 into a percent.

irina1246 [14]

Answer:

355.4%

Step-by-step explanation:

8 0

3 years ago

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What is the volume of a box with a width 2 1/2 inches, length 1 3/4 inches, and height 3 1/4 inches?

enot [183]

Answer:

The volume of the box is 41.21 inches cube.

Step-by-step explanation:

Given,

Width of the box $2\frac{1}{2}$ inches

$=\frac{5}{2}$ inches

Length of the box $1\frac{3}{4}$ inches

$=\frac{7}{4}$ inches

Height of the box $3\frac{1}{4}$ inches

$= \frac{13}{4}$ inches

The box is in cuboid form.

The volume of cuboid is given by (length × breadth × height ).

So,

volume of the box is $( \frac{5}{2}$ × $\frac{7}{4}$ × $\frac{13}{4}$ $)$

= $( \frac{455}{32} )$

$= 14.21$ inches cube

The volume of the box is 41.21 inches cube.

8 0

3 years ago

The price of a USB flash drive increases to 5/4 of its original price . The new price is $25 . what was the original price ?

ohaa [14]

5/4 times originally price

5 0

3 years ago

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A rock is tossed upward. Its height after t seconds is given by S = −16t2 + 24t + 3 feet. What is its maximum height? When does

Mama L [17]

Answer:

Step-by-step explanation:

The height of the rock ,(s), in feets after t seconds is given by the function

S = −16t^2 + 24t + 3

The given function is a quadratic equation. If values of height attained is plotted against time, the shape of the graph will be a parabola whose vertex would correspond to the maximum height obtained by the object.

Vertex of the parabola = -b/2a

a = - 16

b = 24

Vertex = - 24/- 16×2 = 24/32

Vertex = 0.75

So the maximum height is 0.75 feet

To determine the time at which it will reach a maximum height of 0.75, we will substitute s = 0.75 into the equation.

S = −16t^2 + 24t + 3

0.75 = −16t^2 + 24t + 3

−16t^2 + 24t + 2.25 = 0

Applying the general formula for quadratic equation,

t = b ± √b^2 - (4ac)]/2a

a = -16

b = 24

c = 2.25

t = - 24 ± √24^2 - 4(-16 × 2.25)]/2×-16

t = - 24 ± √(576 + 144)]/-32

t = - 24 ± √(720)/-32

t = (- 24 ± 26.83)/-32

t = 2.83/-32 or t = -50.83 /-32

t = - 0.088 or t = 1.588

The time cannot be negative so,

The time take to reach maximum height is 1.588 seconds

4 0

3 years ago

State whether the given set of angles form a triangle. Select all that apply.

Rainbow [258]

$\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}$

Actually Welcome to the concept of Angle sum property of a triangle.

To form a triangle, all angles must sum exactly to 180°.

So the correct options are :-

1.) 86°, 53°, 41°

4.) 54°, 97° , 29°

5.) 33° , 90° , 57°

6 0

3 years ago

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