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dmitriy555 [2]
3 years ago
15

What is the area of the triangle in the coordinate plane?

Mathematics
2 answers:
AnnZ [28]3 years ago
5 0
The answer to this is C.54 units² .

Area=1/2 base*height
base=12
height=9
12*9=108
108/2=54
Area=54
Anni [7]3 years ago
4 0

\huge\mathfrak {Answer}

Area of triangle

= 》1/2 × Base × height

=  > 54 {unit}^{2}

Thanks

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Please Help. I really don’t get this concept, if you could explain it in detail it would be very appreciated
Dafna11 [192]
<h3>Answer: 24/25</h3>

=================================================

Explanation:

Sine is given to be negative, and so is tangent. This only happens in quadrant Q4

Recall that y = sin(theta), so if sin(theta) < 0, then we're below the x axis.

If tan(theta) < 0, then this means cos(theta) > 0

So we have y < 0 and x > 0 which places the angle somewhere in Q4.

--------------------------

Draw a right triangle as shown below in the attached image. We have AC = 25 and BC = 7. Use the pythagorean theorem to find that AB = 24

So this is what your steps may look like

a^2+b^2 = c^2

7^2+b^2 = 25^2

b^2+49 = 625

b^2 = 625-49

b^2 = 576

b = sqrt(576)

b = 24

So because AB = 24, we know that the cosine of the angle is adjacent/hypotenuse = 24/25

---------------------------

As an alternative, you could use the trig identity

sin^2(x) + cos^2(x) = 1

and plug in the given value of sine to solve for cosine. The cosine value result will be positive since we're in Q4.

So,

sin^2(x) + cos^2(x) = 1

(-7/25)^2 + cos^2(x) = 1

(49/625) + cos^2(x) = 1

cos^2(x) = 1 - (49/625)

cos^2(x) = (625/625) - (49/625)

cos^2(x) = (625-49)/625

cos^2(x) = 576/625

cos(x) = sqrt(576/625)

cos(x) = sqrt(576)/sqrt(625)

cos(x) = 24/25

This is effectively a rephrasing of the previous section since the pythagorean trig identity is more or less the pythagorean theorem (just in a trig form)

6 0
3 years ago
Write an equation in point-slope form of the line having the given slope that contains the given point. m = -2, (4, -2)write an
alex41 [277]

Answer:

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6 0
3 years ago
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Mademuasel [1]

Answer:

yes it will be

Step-by-step explanation:

5 0
3 years ago
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8 1/5 + (4 2/5 + 3 3/10
leonid [27]

Answer:

15 and 9/10 or 15.9

Step-by-step explanation:

4_2/5 + 3_3/10 = 4_4/10 + 3_3/10 = 7_7/10

8_1/5 = 8_2/10

8_2/10 + 7_7/10 = 15 9/10

or 15.9

5 0
3 years ago
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Find the unknown side length of the rectangle if its area is 11 square feet.​
expeople1 [14]

Answer:

3

Step-by-step explanation:

- Area of rectangle = length * width

11 = 3\frac{2}{3} *w\\\\- rearrange and divide\\ 11  \\ by \\\\  3\frac{2}{3}\\\\ = 3

6 0
3 years ago
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