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
Ivan
3 years ago
5

A triangle has a base of 9 feet and a height of 12 ft. What is the area of a triangle? A. 42ft^2 B. 54 ft^2 C. 84 ft^2 D. 108 ft

^2​

Mathematics
2 answers:
Llana [10]3 years ago
8 0

Answer:

The correct answer is option B. 54 ft^2

Step-by-step explanation:

Formula:-

Area of triangle

Area A = bh/2

b - Base of triangle

h - Height of triangle

To find the area of triangle

Here base b = 9 ft and height h = 12 ft

Area, A = bh/2 = (9 * 12)/2 = 54 ft^2

Therefore the area of given triangle is 54 ft^2

The correct answer is option B. 54 ft^2

elena55 [62]3 years ago
5 0

Answer:54sqft

Step-by-step explanation:

A=b*h/2

A=9*12/2=54sqft

You might be interested in
Find the partial fraction decomposition of the rational expression with prime quadratic factors in the denominator
SpyIntel [72]
\dfrac{5x^4-7x^3-12x^2+6x+21}{(x-3)(x^2-2)^2}=\dfrac{a_1}{x-3}+\dfrac{a_2x+a_3}{x^2-2}+\dfrac{a_4x+a_5}{(x^2-2)^2}
\implies 5x^4-7x^3-12x^2+6x+21=a_1(x^2-2)^2+(a_2x+a_3)(x-3)(x^2-2)+(a_4x+a_5)(x-3)

When x=3, you're left with

147=49a_1\implies a_1=\dfrac{147}{49}=3

When x=\sqrt2 or x=-\sqrt2, you're left with

\begin{cases}17-8\sqrt2=(\sqrt2a_4+a_5)(\sqrt2-3)&\text{for }x=\sqrt2\\17+8\sqrt2=(-\sqrt2a_4+a_5)(-\sqrt2-3)\end{cases}\implies\begin{cases}-5+\sqrt2=\sqrt2a_4+a_5\\-5-\sqrt2=-\sqrt2a_4+a_5\end{cases}

Adding the two equations together gives -10=2a_5, or a_5=-5. Subtracting them gives 2\sqrt2=2\sqrt2a_4, a_4=1.

Now, you have

5x^4-7x^3-12x^2+6x+21=3(x^2-2)^2+(a_2x+a_3)(x-3)(x^2-2)+(x-5)(x-3)
5x^4-7x^3-12x^2+6x+21=3x^4-11x^2-8x+27+(a_2x+a_3)(x-3)(x^2-2)
2x^4-7x^3-x^2+14x-6=(a_2x+a_3)(x-3)(x^2-2)

By just examining the leading and lagging (first and last) terms that would be obtained by expanding the right side, and matching these with the terms on the left side, you would see that a_2x^4=2x^4 and a_3(-3)(-2)=6a_3=-6. These alone tell you that you must have a_2=2 and a_3=-1.

So the partial fraction decomposition is

\dfrac3{x-3}+\dfrac{2x-1}{x^2-2}+\dfrac{x-5}{(x^2-2)^2}
7 0
3 years ago
The​ cost, in​ dollars, of producing x belts is given by Upper C (x )equals 970 plus 12 x minus 0.076 x squared. The​ revenue, i
umka21 [38]

Answer:

$68.44 for each additional belt

Step-by-step explanation:

The cost and revenue functions are:

C(x) = 970+12x - 0.076x^2\\R(x) =43x^{\frac{3}{4}}

The profit function, P(x), is given by subtracting the cost function from the revenue function.

P(x) = R(x) - C(x)\\P(x)=43x^{\frac{3}{4}}+0.076x^2-12x-970\\

The derivate of the profit function gives us the rate at which profit changes:

\frac{dP(x)}{dx} =P'(x)=32.25x^{\frac{-1}{4}}+0.152x-12\\

For x = 484, the rate of change is:

P'(484)=32.25*484^{\frac{-1}{4}}+0.152*484-12\\P'(484) = \$68.44/belt

Profit is increasing by $68.44 for each additional belt

3 0
3 years ago
How many feet of fencing are needed to enclose the garden? 54 feet 68 feet 108 feet 140 feet.
Mkey [24]

Answer:

140

Step-by-step explanation:

30+30=60

40+40=80

60+80=140

4 0
2 years ago
Read 2 more answers
Terrence records the numbers of e-mail he receives per day. During one week, he receives 7, 3, 10, 5, 5, 6, and 6 e-mails.
Mazyrski [523]

Answer:

mean:6, median:6, mode:5 and 6,

Step-by-step explanation:

Mean is average, mode, is the number that occurs most frequently, median is the middle number.

3 0
2 years ago
Read 2 more answers
The average cost of tuition and fees at a public four-year college in the United States can be molded by the following formula w
Rudik [331]
T=7556=165x+2771
we need to solve for x, number of years after 1996.
165x=7556-2771=4785
x=4785/165=29
It will be in year 1996+29=2025 that estimated fees and tuition average $7556
3 0
3 years ago
Other questions:
  • Find the sum of the following infinite geometric series, if it exists.
    5·2 answers
  • Jeremy is hosting a Halloween party for 80 children.He will give each child at least one candy bar.If each bag of candy contains
    6·2 answers
  • Plss I need this quickly I don't understand this<br>3(x-6)=6+7​
    15·1 answer
  • A.140 B. 60 C.120 or D.40 ?
    11·2 answers
  • Which is the longer length 29ft or 9 yards
    7·1 answer
  • Which set of numbers is the most reasonable to describe a person’s hat size? A: Integers. B: Whole numbers. C: Irrational number
    12·2 answers
  • Does anyone know how to do this?
    11·1 answer
  • How many adults who have been told that they have hypertension would you expect to find in a sample of 20
    11·1 answer
  • I need help!!! :))))
    9·2 answers
  • How many quarter make 100 dollars? ​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!