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olga2289 [7]
3 years ago
13

1. A triangle has a base of 15 feet and a

Mathematics
2 answers:
kirill [66]3 years ago
3 0
The answer is 67.5 ft. To find the area of a triangle is BH/2= A
so...

(15)(9)
____ = 67.5
2
Free_Kalibri [48]3 years ago
3 0

Answer:

The answer is 67.5 ft.

Step-by-step explanation:

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stellarik [79]

Answer:

3 is in

Step-by-step explanation:

4 0
3 years ago
Please explain with working!!! Find the set of values of x that satisfy the inequality 9x^2-15x<6
Oksi-84 [34.3K]

Answer:

-1/3

Step-by-step explanation:

When solving a quadratic inequality, first solve it normally like you would for a normal quadratic equation. We have:

9x^2-15x

Ignore the less than sign and replace it with an equal sign and solve the quadratic for its zeros:

9x^2-15x=6

Subtract 6 from both sides:

9x^2-15x-6=0

Divide everything by 3:

3x^2-5x-2=0

Factor. Find two numbers that equal (3)(-2)=-6 that add up to -5.

-6 and 1 works. Thus:

3x^2-6x+x-2=0\\3x(x-2)+1(x-2)=0\\(3x+1)(x-2)=0

Find the x using the Zero Product Property:

3x+1=0 \text{ or }x-2=0\\x=-1/3\text{ or }x=2

Now, we need to replace the equal signs with symbols again. To do so, we need to test which symbol to place. Let's do the first zero first.

So, the first zero is:

x=-1/3

Assume that the correct symbol is >. Thus,

x>-1/3

Now, pick any number that is greater than -1/3. I'll pick 0 since it's the easiest. Now, plug 0 back into the very original inequality. If it works, then the sign is correct, if it doesn't, then simply use the opposite one. Therefore:

9x^2-15x

0 is indeed less than six, so our first correct solution is:

x>-1/3

For the second one, do the same thing. We have:

x=2

Assume that the correct symbol is <. Thus:

x

Again, pick any number less than 2. I'm going to use 0. Plug 0 back into the original equation

9x^2-15x

Again, this is correct. Therefore, x<2 is also the correct inequality.

So together, we have:

x>-1/3 \text{ and } x

Together, we can write them as:

-1/3

(Note that we don't need to worry about the "or equal to" part since the original inequality didn't have it.)

6 0
3 years ago
Hey guys!!!1! I just joined this class and I’m super-duper excited!!!! Comment your favorite color!!!!!
motikmotik

Answer:

hunter green

Step-by-step explanation:

what about you ??

have a super day

-tay

6 0
2 years ago
Read 2 more answers
A mattress store in Stafford purchased a mattress at a cost of $255 and marked it up 100%. Later on, Cassie bought the mattress.
skad [1K]

Answer: 278.18

sorry if it's wrong

Step-by-step explanation: if you divide 255 by 11 you get 23.18181818181

so if you simplify you get 23.18 so that is the tax plus the original payment which is 278.18

8 0
2 years ago
Read 2 more answers
Help with 5??????????
crimeas [40]
Answer is number one. The number inside the bracket is the time and the number after the equal sign is the height. As you can see, at t=5, height=75.
8 0
3 years ago
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