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
Nadya [2.5K]
3 years ago
7

Someone help me with question #1 plzz

Mathematics
1 answer:
Oliga [24]3 years ago
6 0

Answer:

x = 8 units

Step-by-step explanation:

Note that the ratio of the middle-length legs is 12/18, and that of the shortest-length legs is x/12.

Then:

12        x

----- = -----

18       12

... which, through cross- multiplication, becomes 18x = 144.  Then x = 8 units

You might be interested in
Evaluate the expression using order of operations. 3 x (20 – 5)
horrorfan [7]

Answer:

3 x 15

Step-by-step explanation:

aren't you trying to figure out what the expression is simplified?

8 0
3 years ago
Read 2 more answers
Find the intervals on which​ f(x) is​ increasing, the intervals on which​ f(x) is​ decreasing, and the local extrema. f (x )equa
Kaylis [27]

Answer:

f(x) is increasing in the intervals (-∞,-4) and (9,∞)

f(x) is decreasing in the ingercal (-4,9)

The local extrema is:

local max at (-4,496)

and local min at (9,-1701)

Step-by-step explanation:

In order to solve this problem we must start by finding the derivative of the provided function, which we can find by using the power rule.

if f(x)=ax^{n} then f'(x)=anx^{n-1}

so we get:

f(x)=2x^{3}-15x^{2}-216x

f'(x)=6x^{2}-30x-216

in order to find the critical points we mus set the derivative equal to zero, since the local max an min will happen when the slope of the tangent line to the given point is zero, so we get:

6x^{2}-30x-216=0

we can solve this by factoring, so let's factor that equation:

6(x+4)(x-9)=0

we can now set each of the factors equal to zero so we get:

x+4=0 and x-9=0

when solving each for x we get that:

x=-4 and x=9

These are our critical points, now we can build the possible intervals we are going to use to determine where the function will be increasing and where it will be decreasing:

(-∞,-4), (-4,9) and (9,∞)

so now we need to test these intervals in the derivative to see if the graph will be increasing or decreasing in the given intervals. So let's pick x=-5 for the first one, x=0 for the second one and x=10 for the third one.

When evaluating them into the first derivative we get that:

f'(-5)=84, this is a positive answer so it means that the function is increasing in the interval (-∞,--4)

f'(0)=-216, this is a negative anser so it means that the function is decreasing in the interval (-4,9)

f'(10)=84, this is a positive answer so it means that the function is increasing in the interval (9,∞)

Now, for the local extrema, we can see that at x=-4, the function it's increasing on the left of this point while it's decreasing to the right, which means that there will be a local maximum at x=-4, so the local max is the point (-4,496)

We can see that at x=9, the function it's decreasing on the left of this point while it's increasing to the right, which means that there will be a local minimum at x=-9, so the local min is the point (9,-1701)

7 0
3 years ago
Justin and michelle are playing a card game. In the first round, caitlin scored 100 points and justin scored 75 points. In each
Arada [10]

Answer:

Step-by-step explanation: first you have to add up the point that each scored altogether and Caitlin scored 300 and Justin scored 250

5 0
3 years ago
Read 2 more answers
Last week Jonas spent 9 1/6 hours working on his homework over a period of 4 2/3 days. Approximately how many hours a day, on av
Elina [12.6K]

Answer:

55/28 hours/day (approx.  1.96 hours/day)

Step-by-step explanation:

9 1/6 hours / 4 2/3 days

= 55/6 hours / 14/3 days

= 55/6 * 3/14 hours/day

= 55/28 hours/day

(approx.  1.96 hours/day)

3 0
3 years ago
Pls help :(<br><br>read and answer the question
andrew11 [14]

Answer: Your answer should be C) 171! Hope this helps you!

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Sarah decides to take her six year old son to the circus. The price for the child's ticket is 4.75 dollars less than the price f
    7·1 answer
  • The length of Albert's rectangular are listed below.
    9·1 answer
  • What is the surface area of the cylinder?
    5·2 answers
  • Evaluate the following expression for the given value.
    6·1 answer
  • Forty four out of 72 is
    14·1 answer
  • "The standard form of a linear equation is Ax+By=C. For each set of values given, tell if the linear equation represents a horiz
    10·1 answer
  • What are recriprocals
    5·2 answers
  • Light travels at a speed of about 186,000 miles per second. Sound travels at a speed of about 1,087 feet per second. How many ti
    6·1 answer
  • At a hockey game, a vendor sold a combined total of 148 sodas and hot dogs. The number of sodas sold was three times the number
    10·2 answers
  • Câu 1: Các nghiệm của phương trình tan 3 0
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!