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
motikmotik
2 years ago
9

Find the surface area of this triangular prism. 3 cm 5 cm 11 cm 4 cm

Mathematics
1 answer:
blondinia [14]2 years ago
5 0

Step-by-step explanation:

The area of a triangular pyramid is 5 cm.

You might be interested in
Oil consumption in China grew exponentially from 8.938 million barrels per day in 2010 to 10.480 million barrels per day in 2013
Afina-wow [57]

Let the year represents x axis and consumption represents y axis.

Since 2010 is the initial year, x=0

and 2013 is third year , so x=3

Co-ordinates are (0,8.938)(3,10.480)

Exponential formula is y=ab^{x}

Putting the value of x in the above formula from 1st coordinate,

8.938=ab^{0}

As b^{0} = 1

this gives a= 8.938

Now using the 2nd coordinate

10.480=ab^{3}

putting the value of a in it we have

10.480=8.938b^{3}

taking cube roots on both sides we get

b= 1.05448

Now putting the values of a and b in the exponential formula-

y=8.938(1.05448)^{x}

In the year 2028, x=28

so,

y=8.938(1.05448)^{28}

y= 39.474

Hence oil consumption per day in 2028 will be 39.474 million barrels.

5 0
2 years ago
Read 2 more answers
Elementary Algebra Skill
mr_godi [17]

The answer is a = \frac{4}{-3}

Step-by-step explanation:

<em>1. Convert the mixed fraction to an improper fraction</em>

To find the numerator, multiply the denominator by the whole number and add the numerator to it.

The denominator remains the same.

So, 2\frac{2}{3} will be \frac{8}{3}

<em>2. Now the equation is,</em>

\frac{3}{2} a - \frac{4}{3} a = \frac{10}{3} + \frac{8}{3} a

<em>3. Take LCM on both sides. </em>

For the left side, multiply the first fraction by \frac{3}{3} and multiply the second fraction by \frac{2}{2}

\frac{3*3}{2*3} a - \frac{4*3}{3*3} a = \frac{10+8a}{3}

<em>4. Solve by making a the subject</em>

\frac{9a-8a}{6} = \frac{10+8a}{3}

\frac{a}{6} = \frac{10+8a}{3}

\frac{3a}{6} =10+8a

\frac{a}{2} = 10 + 8a

a = 2(10 + 8a)

a = 20 + 16a

a-16a = 20

-15a = 20

a = \frac{20}{-15}

a = \frac{4}{-3}

Therefore, the answer is a = \frac{4}{-3}

Keyword: Equations

Learn more about equations at

  • brainly.com/question/10666510
  • brainly.com/question/4460262
  • brainly.com/question/8955867

#LearnwithBrainly

4 0
3 years ago
A sample of size 200 will be taken at random from an infinite population. given that the population proportion is 0.60, the prob
Musya8 [376]

Let p be the population proportion. <span>
We have p=0.60, n=200 and we are asked to find P(^p<0.58). </span>
The thumb of the rule is since n*p = 200*0.60 and n*(1-p)= 200*(1-0.60) = 80 are both at least greater than 5, then n is considered to be large and hence the sampling distribution of sample proportion-^p will follow the z standard normal distribution. Hence this sampling distribution will have the mean of all sample proportions- U^p = p = 0.60 and the standard deviation of all sample proportions- δ^p = √[p*(1-p)/n] = √[0.60*(1-0.60)/200] = √0.0012. 
So, the probability that the sample proportion is less than 0.58 
= P(^p<0.58) 
= P{[(^p-U^p)/√[p*(1-p)/n]<[(0.58-0.60)/√0... 
= P(z<-0.58) 
= P(z<0) - P(-0.58<z<0) 
= 0.5 - 0.2190 
= 0.281 
<span>So, there is 0.281 or 28.1% probability that the sample proportion is less than 0.58. </span>

4 0
3 years ago
If the rectangle is 38 inches and the length is 12 how much is the width ?
Ierofanga [76]

Answer:

width= 3.17

Step-by-step explanation:

Divide 38 (the area) by 12 (the width)

8 0
2 years ago
Please help me Algebra 1
Oduvanchick [21]

Answer:

a.  \sqrt{x^n} = x^\frac{n}{2}

b. \sqrt{x^n}  = x^\frac{(n-1)}{2}\sqrt{x}

Step-by-step explanation:

a) When <em>n </em>is even, then it is divisible by 2. Because of this, you can write:

  • \sqrt{x^n} = (x^n)^\frac{1}{2}
  • \sqrt{x^n} = x^\frac{n}{2}

b) When <em>n </em>is odd, then <em>n - 1 </em> is even. This would make it divisible by 2, and there would be a remainder of 1, so we can write:

  • \sqrt{x^n} = (x^n^-^1^+^1) ^\frac{1}{2}
  • \sqrt{x^n} = (x^n^-^1 × x)^\frac{1}{2}
  • \sqrt{x^n} = x^\frac{(n-1)}{2} × x^\frac{1}{2}
  • \sqrt{x^n}  = x^\frac{(n-1)}{2}\sqrt{x}
8 0
2 years ago
Read 2 more answers
Other questions:
  • What is the solution of the equation 6x - 3 = -51?
    12·2 answers
  • Unit 5 lesson 1 final exam Driver's Education.
    15·1 answer
  • .
    13·1 answer
  • Evaluate 5a+3b and (5+a)(3+b) for a=2 and b=4. How is the order of the steps different for the two expressions?
    9·1 answer
  • I need help ASAP thanks!!
    15·1 answer
  • What is the equation?<br> 3.7 = 5x + 12.2
    8·2 answers
  • Name a perfect square between 60 and 80.
    15·2 answers
  • Describe and correct the error in writing an equation of the line shown
    6·1 answer
  • Can someone pls solve for y
    14·1 answer
  • Solve the system of equations using elimination<br>2X-y=1<br>-2X+3y=5​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!