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
Triss [41]
3 years ago
13

A candle holder is in the shape of a triangular pyramid. The area of the base is 15 in2

Mathematics
2 answers:
fomenos3 years ago
8 0

Answer:

30 inch^3

Step-by-step explanation:

took test

EleoNora [17]3 years ago
7 0

The volume of candle holder is 30 inches cubed.

Step-by-step explanation:

Given,

Area of base = A = 15 square inches

Height of candle holder = H = 6 inches

As the holder is in shape of triangular pyramid, therefore,

Volume of candle holder = \frac{1}{3}AH

Volume of candle holder = \frac{1}{3}*15*6

Volume of candle holder = \frac{90}{3}=30\ in^3

The volume of candle holder is 30 inches cubed.

You might be interested in
Help. I need help with these questions ( see image).<br> Please show workings.
Andrew [12]

9514 1404 393

Answer:

  4)  6x

  5)  2x +3

Step-by-step explanation:

We can work both these problems at once by finding an applicable rule.

  \text{For $f(x)=ax^n$}\\\\\lim\limits_{h\to 0}\dfrac{f(x+h)-f(x)}{h}=\lim\limits_{h\to 0}\dfrac{a(x+h)^n-ax^n}{h}\\\\=\lim\limits_{h\to 0}\dfrac{ax^n+anx^{n-1}h+O(h^2)-ax^n}{h}=\boxed{anx^{n-1}}

where O(h²) is the series of terms involving h² and higher powers. When divided by h, each term has h as a multiplier, so the series sums to zero when h approaches zero. Of course, if n < 2, there are no O(h²) terms in the expansion, so that can be ignored.

This can be referred to as the <em>power rule</em>.

Note that for the quadratic f(x) = ax^2 +bx +c, the limit of the sum is the sum of the limits, so this applies to the terms individually:

  lim[h→0](f(x+h)-f(x))/h = 2ax +b

__

4. The gradient of 3x^2 is 3(2)x^(2-1) = 6x.

5. The gradient of x^2 +3x +1 is 2x +3.

__

If you need to "show work" for these problems individually, use the appropriate values for 'a' and 'n' in the above derivation of the power rule.

3 0
3 years ago
Assume two radar stations which are 39 miles apart are both tracking a plane. At a given moment, the angle between station 1 and
SpyIntel [72]

Answer:

37.3 miles

Step-by-step explanation:

180 - 59.83 - 55.54 = 64.63°

39/sin64.63 = X/sin59.83

X = 37.3157217 miles

6 0
3 years ago
Create a quadratic trinomial with zeros equal to 4 and 5
Ilya [14]

Answer:

x^2 - 9x + 20

Step-by-step explanation:

(x - 4)(x - 5) (have to do the opposite for it to be positive)

FOIL method: X x X = x^2

-5 x X = -5x

-4 x X = -4x

x^2 - 5x - 4x + 20

-5 - 4 = -9 so...

x^2 - 9x +20 is the answer

5 0
3 years ago
The ones circled please put the answers and what the problem is ok? and thank y'all for the support
Lady_Fox [76]
7) 2-3=-1         9) 6-9=-3
11) -3-4=-7      13) -7-6=-13
15)-3-9=-12     17) 6-(-2)=8
19)3-(-5)=8      21) 5-(-8)=13
23)-2-(-1)=-1   25) -10-(-4)=-6
27)-6-(-5)=-1   29) -8-(-6)=-2
31)5-(-3)=8      33) 7-10=-3
35)-2-5=-7       37) -9-(-4)=-5
5 0
3 years ago
What is the probability that out of 65 lambs born on Wooly Farm, at least 32
hammer [34]
It’s probably choice c
4 0
3 years ago
Other questions:
  • 11 times a number increased by 2 is the same as 6 more than 9 times the number .Find the number.
    8·1 answer
  • Reduce −2 + b2 by 7 + b2.
    6·2 answers
  • SOMEONE PLEASE ANSWER ASAP!! 55 POINTS!!
    9·1 answer
  • On her 30th birthday, Ann Marie opened a new compound interest account with $25,000
    10·2 answers
  • Help me i beg u plzzzz
    10·1 answer
  • What is the sum of m and 8
    14·1 answer
  • NEED HELP ASAP
    9·1 answer
  • Help me please my math didn’t teach me this!
    10·1 answer
  • A rectangular wall in Andrew's house has the dimensions shown. If
    6·1 answer
  • 3:1
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!