answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zysi [14]
2 years ago
7

Nathan has a sculpture in the shape of a pyramid. The height of the sculpture is 3 centimeters less than the side length, x, of

its square base. Nathan uses the formula for the volume of a pyramid to determine the dimensions of the sculpture:
Here, a is the side length of the pyramid’s square base and h is its height.

If 162 cubic centimeters of clay were used to make the sculpture, the equation x3 +
x2 +
= 0 can be used to find that the length of the sculpture’s base is
centimeters.

Mathematics
1 answer:
uysha [10]2 years ago
8 0
Let
x-----------> <span>the side length of a pyramid square base
h-----------> t</span>he height of the sculpture <span>in the shape of a pyramid

we know that
h=(x-3)
Volume=162 cm</span>³
Volume=x² *(x-3)/3
then
x² *(x-3)/3=162----------> x³-3x²=486----------> x³-3x²-486=0
x³-3x²-486=0-------- <span>this equation can be used to find the length of the sculpture’s base 

using a graph tool-----------> </span>to find the solution
x=9 cm -------------> see the attached figure
h=(x-3)-----> h=9-3--------> h=6 cm

the answer is
<span>the length of the sculpture’s base is 9 cm
</span>the height of the sculpture is 6 cm

You might be interested in
Nick is undertaking an expedition across the desert from A to B. In order to complete his journey he starts at A, walks 7km West
MaRussiya [10]

Answer:

Shorting distance = 6 km

Step-by-step explanation:

Given:

Distance walk = 7 km west

Distance walk = 24 km north

Find:

Shorting distance

Computation:

Using Pythagorean theorem:

Magnitude AB = √AC² + BC²

Magnitude AB = √7² + 24²

Magnitude AB = √49 + 576

Magnitude AB = 25 Km

Total distance Nick walk = 7 km + 24 km

Total distance Nick walk = 31 km

Shorting distance = 31 km - 25 km

Shorting distance = 6 km

7 0
2 years ago
En una fábrica de automóviles que trabaja las 24 horas se arman diariamente 24
saul85 [17]

Answer:

a. La ganancia es de $ 4,060,000.00

b. 31 vehículos

Step-by-step explanation:

(a) Los parámetros dados son;

El número de automóviles tipo sedán fabricados = 24

El número de camiones tipo SUV fabricados = 16

El número de camiones tipo VAN fabricados = 12

El número de camionetas pick-up fabricadas = 8

El número de autos deportivos fabricados = 2

La ganancia por la venta de autos tipo sedán = $ 185,000 - $ 140,000 = $ 40,000

La ganancia por la venta de camionetas tipo SUV = $ 320,000 - $ 250,000 = $ 70,000

La ganancia por la venta de camiones tipo VAN = $ 400,000 - $ 310,000 = $ 90,000

La ganancia por la venta de las camionetas pick-up = $ 285,000 - $ 210,000 = $ 75,000

La ganancia por la venta de los autos deportivos = $ 550,000 - $ 400,000 = $ 150,000

La ganancia = 24 * $ 40 000 + 16 * $ 70 000 + 12 * $ 90 000 + 8 * $ 75 000 + 2 * $ 150 000 = $ 4060 000

(b) Por lo que hay una tasa de producción constante, solo la mitad de los automóviles se producirán dentro del período de 12 horas

Por lo tanto, tu fabricado

12 autos sedán, 8 camionetas tipo SUV, 6 camionetas tipo VAN, 4 camionetas pick-up y 1 auto deportivo para hacer un total de 31 vehículos.

6 0
2 years ago
PLZ HELP ME ASAP The box plot shows the typing speed (in words per minute without errors) of the contestants in a typing contest
Paraphin [41]
1. 95-87 = 8 /2 = 4

2. 91 - 82 = 9 /2 = 4.5 =5

3. 91 - 87 = 4

4. B 1 times
6 0
2 years ago
Read 2 more answers
What is the slope of the line?​
kolbaska11 [484]

Answer:

im not very sure but i think its A or C

4 0
2 years ago
Read 2 more answers
The graph below is used by company 2 to show the average monthly electric cost based on the electricity provider.
defon
Given the bar graph above, the difference <span>in monthly electric cost appear to be great because of the choice of scale.

In scaling, the narrower the intervals of the axis, the larger the graph and the more highlighted the relative difference between the components of the graph.

Conversely, the wider the </span><span>the intervals of the axis, the smaller the graph and the less highlighted the relative difference between the components of the graph.

Therefore, to make </span><span>the difference in monthly electric cost appear not to be as great</span>, we widden the intervals on the y-axis.
i.e. '<span>The interval on the y-axis could be changed to count by 20s.'</span>
7 0
2 years ago
Read 2 more answers
Other questions:
  • What is the quotient (x3 + 8) ÷ (x + 2)? x2 + 2x + 4 x2 – 2x + 4 x2 + 4 x2 – 4
    9·1 answer
  • A dealer gains the selling price of 10 radio sets by selling 6 sets. what is his profit percentage​
    11·1 answer
  • ΔABC is dilated from the origin at a scale factor of 3 to create ΔA′B′C′. Select the option that completes the statement: The tr
    11·2 answers
  • A coach drives 360 miles at a speed of 60mph how long did the journey take
    12·1 answer
  • 8.9 – 1.4x + (–6.5x) + 3.4 simplify this expression
    7·2 answers
  • Mr. Mole left his burrow and started digging his way down at a constant rate.
    9·2 answers
  • ​Determine whether the proportion is true or false. 15/20=14/18
    9·2 answers
  • Circle K is shown. Tangents S T and U T intersect at point T outside of the circle. A line is drawn from point T to point R on t
    13·2 answers
  • The hourly wages earned by 20 employees are shown in the first box-and-whisker plot below. The person earning $15 per hour quits
    11·1 answer
  • -4(3/2x - 1/2) = -15
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!