1answer.
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
Goshia [24]
3 years ago
8

The radius of the base of a right circular cone is 4 in., and its slant height is 15 in. If the radius and the slant height are

each multiplied by 6, by what factor is the surface area multiplied? A. 6 B. 9 C. 12 D. 36
Mathematics
1 answer:
alukav5142 [94]3 years ago
3 0

Answer:

Step-by-step explanation:

radius r = 4 in

slant height L = 15 in

base area = πr² = 16π in²

lateral area = πrL = 60π  in²

surface area = 76π in²

r = 4×6, L = 15×6

base area = (4×6)²π = 16π×36

lateral area = 60π×36

surface area is multiplied by 36

You might be interested in
A truck weighing 150kN and travelling at 2m/sec impacts with a buffer
FrozenT [24]

The maximum compression of the spring is 0.276 m

Step-by-step explanation:

First of all, we calculate the spring  constant of the spring, by using Hooke's law:

F=kx

where

F = 10 kN = 10,000 N is the force applied

x = 1.25 cm = 0.0125 m is the corresponding compression of the spring

k is the spring constant

Solving for k,

k=\frac{F}{x}=\frac{10,000}{0.0125}=8\cdot 10^5 N/m

When the truck impacts with the spring, all the kinetic energy of the truck is converted into elastic potential energy of the spring, so we can write

\frac{1}{2}mv^2=\frac{1}{2}kx^2 (1)

where

m is the mass of the truck

v = 2 m/s is the initial speed of the truck

k=8\cdot 10^5 N/m is the spring constant

x is the compression of the spring

The mass of the truck can be found from its weight:

m=\frac{W}{g}=\frac{150,000 N}{9.81 N/kg}=15,290 kg

So now we can re-arrange eq.(1) to find the compression, x:

x=\sqrt{\frac{mv^2}{k}}=\sqrt{\frac{(15,290)(2)^2}{8\cdot 10^5}}=0.276 m

Learn more about kinetic energy:

brainly.com/question/6536722

#LearnwithBrainly

6 0
3 years ago
BRAINLIEST
Anna71 [15]

Answer:

h(x)

h(x)

f(x) g(x) h(x)

Step-by-step explanation:

Edge 2020

~theLocoCoco

6 0
3 years ago
A variable needs to be eliminated to solve
lesya692 [45]

Answer:

(7, - 7 )

Step-by-step explanation:

- 4x + y = - 35 → (1)

- 2x - y = - 7 → (2)

adding the 2 equations term by term will eliminate the y- term

(- 4x - 2x) + (y - y) = - 35 - 7

- 6x + 0 = - 42

- 6x = - 42 ( divide both sides by - 6 )

x = 7

substitute x = 7 into either of the 2 equations and solve for y

substituting into (1)

- 4(7) + y = - 35

- 28 + y = - 35 ( add 28 to both sides )

y = - 7

solution is (7, - 7 )

6 0
2 years ago
Solve for angle B, then side a. Round to the nearest tenth.
Sunny_sXe [5.5K]

Answer:

Angle B: 28 degrees

Side a: 27.6

Step-by-step explanation:

Angle B:

180-112-40=28

Side a:

sin 28/14 = sin 112/a

a = sin 112(14)/sin 28

a = 27.6

7 0
3 years ago
Can some help with this problem
lys-0071 [83]

Answer:

x+115=180 x=65

90+65+y=180 y=25

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • the height of a triangle is 4x inches and the base is (5x+1) inches. the area of a triangle is 500 square inches. what are the d
    10·1 answer
  • When estimated, is 6.2-4.96 greater or less than 1?
    6·1 answer
  • The hyperbola with center at (0, 0) opening horizontally, with a = 2, b = 5.
    8·1 answer
  • What is 100(0.99988) rounded to the nearest tenth
    14·1 answer
  • 8(x/4)>4 solve the inequality
    8·1 answer
  • Solve for b.<br> 16 = a² + b^2
    15·1 answer
  • WHENS MY BDAY I SAID THIS
    7·1 answer
  • State if the given binomial is a factor of the given polynomial.<br> (2x^3-2x^2+3x-2)/(x-2)
    13·1 answer
  • The length of 12cm and 5 cm missing one
    5·1 answer
  • Which quadrant will the line y=Negative one-fourthx – 15 never pass through?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!