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2 years ago

Please help with triangle question

Mathematics

2 answers:

mestny [16]2 years ago

6 0

Answer:

Area= (Base* Height)/2=(Base*12)/2=120

Base*12=120*2=240

Base=240/12

Base=20 m

Step-by-step explanation:

tankabanditka [31]2 years ago

6 0

Good morning ☕️

Answer:

Step-by-step explanation:

Consider A the area of the triangle

h the height

b the base length

_________

$A=\frac{b*h}{2}$

_________

then

$b =\frac{2A}{h} = \frac{2*120}{12} =\frac{240}{12} =20$

___________________________

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The inches of rainfall in the rainforest is represented by the function f(x) = 3(x-2)+ 4. What is the average rate of change bet

nata0808 [166]

Answer:

The average rate of change of rainfall in the rainforest between 2nd year and 6th year = <u>3 inches</u>

Step-by-step explanation:

Given function representing inches of rainfall:

$f(x)=3(x-2)+4$

To find the average rate of change between the 2nd year and the 6th year.

Solution:

The average rate of change between interval $[a,b]$ is given as :

$\frac{f(b)-f(a)}{b-a}$

For the given function we need to find the average rate of change between 2nd year and 6th year. $[2,6]$

So, we have:

$f(2)=3(2-2)+4=3(0)+4=4$

$f(6)=3(6-2)+4=3(4)+4=12+4=16$

Thus, average rate of change will be:

$\frac{f(6)-f(2)}{6-2}$

⇒ $\frac{16-4}{6-2}$

⇒ $\frac{12}{4}$

⇒ $3$

Thus, the average rate of change of rainfall in the rainforest between 2nd year and 6th year = 3 inches

8 0

3 years ago

Give B is the midpoint of AC, what is AC?

Savatey [412]

Answer:

$\fbox{27}$

Step-by-step explanation:

$4x+3=3x+9\\4x+3-3=3x+9-3\\4x=3x+6\\4x-3x=3x-3x+6\\x=6$

Plug in the 6 to the equations. Since B is the midpoint of AC, then both should be equal once plugged in [and solved].

$4(6)+3\\= 27\\3(6)+9\\= 27\\\\\fbox{27}$

8 0

2 years ago

Pls help me in these two little exercises about the slope.

den301095 [7]

Answer:

3) $y=\dfrac35x+\dfrac25$

4) a) $y=-2x+7$

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Step-by-step explanation:

<u>Exercise 3</u>

$-3x + 5y = 2$

$\implies 5y = 3x + 2$

$\implies y=\dfrac35x+\dfrac25$

<u>Exercise 4</u>

a) If L2 is parallel to L1, it has the same slope (gradient) ⇒ $m = -2$

If L2 passes through point (3, 1):

$y-y_1=m(x-x_1)$

$\implies y-1=-2(x-3)$

$\implies y=-2x+7$

So L2 = L1

b) If L3 is perpendicular to L1, then the slope of L3 is the negative reciprocals of the slope of L1 ⇒ $m = \dfrac12$

If L3 passes through point (-5, 2):

$y-y_1=m(x-x_1)$

$\implies y-2=\dfrac12(x+5)$

$\implies y=\dfrac12x+\dfrac92$

4 0

2 years ago

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Graph g(x) = -3(x + 2)2 + 2. Compare the graph to the graph of f(x) = x2. Give me five points that you use to graph g(x). Then d

PolarNik [594]

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2 years ago

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Galina-37 [17]

Step-by-step explanation:

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I think this should be the answer

5 0

2 years ago

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