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3 years ago

The area of a triangle with a base of 6 and a height of 7.

Mathematics

2 answers:

wlad13 [49]3 years ago

5 0

Answer:

21 units ²

Step-by-step explanation:

area of a triangle: base * height /2

6 * 7/2

42/2

Anna35 [415]3 years ago

4 0

Answer:

The area of the triangle is 21.

Step-by-step explanation:

We know that :

The base of the triangle is : 6

The height of the triangle is : 7

Now for the formula :

Area = h × b / 2

Area = 6 × 7 / 2 = 21

Area = 21

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Given the system of constraints name all vertices. Then find the maximum value of the given objective

larisa86 [58]

Answer:

$35$

Step-by-step explanation:

The constraints are

The red line represents the function

$y\leq \dfrac{1}{3}x+1$

At $y=0$

$0=\dfrac{1}{3}x+1\\\Rightarrow -1=\dfrac{1}{3}x\\\Rightarrow x=-3$

At $x=0$

$y=0+1\\\Rightarrow y=1$

Two points are $(-3,0),(0,1)$

The blue line represents the function

$5\geq y+x$

at $y=0$

$5=x$

at $x=0$

$y=5$

Two points are $(5,0),(0,5)$

The other two constraints are $x\geq 0$ , $y\geq 0$ . So, the point has to be in the first quadrant

From the graph it can be seen there are two points where the function will be maximum let us check them.

$(3,2)$

$7x-2y=7\times 3-2\times 2=17$

$(5,0)$

$7x-2y=7\times 5-2\times 0=35$

So, the maximum value of the function is $35$ .

3 0

2 years ago

10) 9 people can paint a bridge in 5 hours,

ale4655 [162]

Step-by-step explanation:

The number of people to paint the bridge is inversely proportional to the number of hours it takes.

(If there are more people, it will take less time etc.)

9 people can paint the bridge in 5 hours.

=> 2 people can paint the bridge in 5 * (9/2) = 22.5 hours.

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The second term in a geometric system is 12. the fourth term in the same sequence is 4/3. what is the common ratio in the sequen

ANEK [815]

Answer:

36/43 I think.

Step-by-step explanation:

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