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
ella [17]
3 years ago
8

A school is painting its logo in the shape of a triangle in the middle of its sports field. The school wants the height of a tri

angle to be 4 feet. The area of the logo must be less than 12 ft.². Write an inequality that describes a possible base length (in feet) of the triangle. Use b for the base length of the triangular logo.
PLZ HELP!!! 50 POINTS!!!
Mathematics
1 answer:
vova2212 [387]3 years ago
3 0

Answer:

The base of the logo must be less than 6 feets but greter than 0 feet, 0<b<6.

Step-by-step explanation:

The formula of area of triangle is A = 1/2×b×h where b is the base and h is the height. It is given that the height of the logo is 4ft and the area is lesa than 12 ft². Using this information, we can make an inequality exrpression :

Let h = 4ft

1/2 × b × 4 < 12

1/2 × b < 12 ÷ 4

1/2 × b < 3

b < 3 ÷ 1/2

b < 6 ft

You might be interested in
Help help help help please this is due soon
IgorLugansk [536]

Answer: (2,-1)

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
9/20
NISA [10]

For this case we must find the solution of the following quadratic equation:

x ^ 2 + 5x + 7 = 0

Where:

a = 1\\b = 5\\c = 7

Then, the solution is given by:

x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}

Substituting the values:

x = \frac {-5 \pm \sqrt {5 ^ 2-4 (1) (7)}} {2 (1)}\\x = \frac {-5 \pm \sqrt {25-28}} {2}\\x = \frac {-5 \pm \sqrt {-3}} {2}

By definition we have:i ^ 2 = -1

x = \frac {-5 \pm \sqrt {3i ^ 2}} {2}\\x = \frac {-5 \pm i \sqrt {3}} {2}

Thus, we have two complex roots.

Answer:

The equation has no real roots.

4 0
3 years ago
Please help, i forgot which was which... (positive or negative coefficient)
Vesna [10]
<h3>Answer:  Negative</h3>

Reason:

The template y = ax^2+bx+c applies to any quadratic to graph out a parabola. The coefficient for the x^2 term is 'a', and it solely determines whether the parabola opens upward or downward.

If 'a' is negative, then the parabola opens downward. The way to remember this is that 'a' being negative forms a negative frown.

On the other hand if 'a' is positive, then it forms a positive smile, and the parabola opens upward.

In this case, the points are fairly close to a parabola opening downward. This means 'a' is negative and a < 0.

8 0
2 years ago
Solve for x.<br> 7y-6y-19=13
Hitman42 [59]

Answer:

Y=32

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Y=ax with a&gt;1<br><br> im very confused on what to do
Kazeer [188]

Answer:

Step-by-step explanation:

‘a’ in this question is the slope of the line. Slope is (y2-y1)/(x2-x1) for any two points. We can see the line intersects the point (0,0) and (-10/9) so the slope is -10/9 which is less than -1 so

a<-1

4 0
3 years ago
Other questions:
  • How much money does a 60 watt light bulb use?
    11·1 answer
  • Make M the subject (TRANSPOSITION)
    10·2 answers
  • Triangle RST was transformed using the rule (x, y) → (–x, –y). The vertices of the triangles are shown.
    7·1 answer
  • Convert 8 1/4% to a decimal show the work
    8·2 answers
  • 3. How is the Fundamental Theorem of Algebra true for quadratic polynomials?
    6·1 answer
  • According to a recent pol, 29 % of adults in a certain area have high levels of cholesterol. They report that such elevated leve
    11·1 answer
  • Paula is planning a dinner dance. She wants to keep the ticket price as low as possible.
    11·1 answer
  • Anyone know the answer ?
    8·1 answer
  • 5 2/3 divided by 4 = what?
    11·1 answer
  • It took Erika 8 games to score 30 points. At that rate, how many games will it take her to score 45 points?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!