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3 years ago

The surface area of the square pyramid is 16 square inches. Find the value of x.

Mathematics

2 answers:

Andrew [12]3 years ago

8 0

Answer:

height h = 2.8284271247462 in

Step-by-step explanation:

height h = 2.8284271247462 in

slant height s = 3 in

side length a = 2 in

lateral edge length e = 3.1622776601684 in

1/2 side length r = 1 in

volume V = 3.7712361663283 in³

lateral surface area L = 12 in²

base surface area B = 4 in²

total surface area A = 16 in²

cluponka [151]3 years ago

3 0

Answer:

x=6 2/5

Step-by-step explanation:

I don't know how to explain other than doing the math of (x*5)/2=16

You might be interested in

Half the sum of a number and 1.75 is −5.1. Enter your answer as a simplified mixed number

musickatia [10]

The unknown number expressed as a mixed fraction is 11 19/20

Let the unknown number be "x"

The sum of the number and 1.75 is expressed as x + 1.75

Half the sum of a number and 1.75 is 1/2(x+1.75)

Equating the result to -5.1 wil give:

1/2(x+1.75) = -5.1

Solve the resulting equation

x + 1.75 = 2(-5.1)

x + 1.75 = -10.2

x = -10.2 - 1.75

x = 11.95

x = 1195/100

x = 11 95/100

Hence the unknown number expressed as a mixed fraction is 11 19/20

Learn more here: brainly.com/question/14583740

5 0

2 years ago

A triangular pyramid and its net are shown. Rain uses Calculations below to conclude that the surface area of a triangular pyram

Harman [31]

Answer:

Rain is correct, calculates correctly, 238.5 square inches

Step-by-step explanation:

The given triangular pyramid is shown with the dimensions.

The surface area of the triangular pyramid is given by :

$A=\frac{1}{2}\left(a \times b\right) + 3\left(\frac{1}{2}\times b\times s\right)$

$A=\frac{1}{2}\left(10 \times 8.7\right) + 3\left(\frac{1}{2}\times 10\times 13\right)$

$A=43.5+(3\times 65)$

$A=43.5+195$

$A=238.5 \ \text{inche}^2$

Therefore, the surface area of the triangular pyramid is = 238.5 square inches.

5 0

3 years ago

33. Suppose you were on a planet where the

tatyana61 [14]

Answer:

a) 3.675 m

b) 3.67m

Explanation:

We are given acceleration due to gravity on earth = $9.8ms^-2$

And on planet given = $2.0ms^-2$

A) Since the maximum jump height is given by the formula

$\mathrm{H}=\frac{\left(\mathrm{v} 0^{2} \times \sin 2 \emptyset\right)}{2 \mathrm{g}}$

Where H = max jump height,

v0 = velocity of jump,

Ø = angle of jump and

g = acceleration due to gravity

Considering velocity and angle in both cases

$\frac{\mathrm{H} 1}{\mathrm{H} 2}=\frac{\mathrm{g} 2}{\mathrm{g} 1}$

Where H1 = jump height on given planet,

H2 = jump height on earth = 0.75m (given)

g1 = 2.0 $ms^-2$ and

g2 = 9.8 $ms^-2$

Substituting these values we get H1 = 3.675m which is the required answer

B) Formula to find height of ball thrown is given by

$\mathrm{h}=(\mathrm{v} 0 * \mathrm{t})+\frac{\mathrm{a} *\left(t^{2}\right)}{2}$

which is due to projectile motion of ball

Now h = max height,

v0 = initial velocity = 0,

t = time of motion,

a = acceleration = g = acceleration due to gravity

Considering t = same on both places we can write

$\frac{\mathrm{H} 1}{\mathrm{H} 2}=\frac{\mathrm{g} 1}{\mathrm{g} 2}$

where h1 and h2 are max heights ball reaches on planet and earth respectively and g1 and g2 are respective accelerations

substituting h2 = 18m, g1 = 2.0 $ms^-2$ and g2 = 9.8 $ms^-2$

We get h1 = 3.67m which is the required height

6 0

3 years ago

Find the volume of the rectangular prism. The volume is cm? 8 cm 5 cm 9 cm

dedylja [7]

Answer:

360 cm

Step-by-step explanation:

volume= length x width x height

8*5*9=360 cm

6 0

3 years ago

Read 2 more answers

I don't understand stand this

yanalaym [24]

Step-by-step explanation:

step 1. ABCD is an isosceles trapezoid because AD and BC are parallel, AB and CD are congruent

step 2. x = 56° (definition of an isosceles trapezoid)

step 3. x + y + z + 56 = 360 (definition of a quadrilateral)

step 4. y = z (definition of an isosceles trapezoid)

step 5. 56 + 2y + 56 = 360

step 6. 2y = 248

step 7. y = 124°, z = 124°.

6 0

2 years ago