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3 years ago

10

I need help on number 2 through 9

1 answer:

Phantasy [73]3 years ago

5 0

3: terms/ 12, 8r, -3, s, -5, 15t coefficients/ 8r, 1s, 15t

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Mazyrski [523]

Answer:

$23\sqrt{3}\ un^2$

Step-by-step explanation:

Connect points I and K, K and M, M and I.

1. Find the area of triangles IJK, KLM and MNI:

$A_{\triangle IJK}=\dfrac{1}{2}\cdot IJ\cdot JK\cdot \sin 120^{\circ}=\dfrac{1}{2}\cdot 2\cdot 3\cdot \dfrac{\sqrt{3}}{2}=\dfrac{3\sqrt{3}}{2}\ un^2\\ \\ \\A_{\triangle KLM}=\dfrac{1}{2}\cdot KL\cdot LM\cdot \sin 120^{\circ}=\dfrac{1}{2}\cdot 8\cdot 2\cdot \dfrac{\sqrt{3}}{2}=4\sqrt{3}\ un^2\\ \\ \\A_{\triangle MNI}=\dfrac{1}{2}\cdot MN\cdot NI\cdot \sin 120^{\circ}=\dfrac{1}{2}\cdot 3\cdot 8\cdot \dfrac{\sqrt{3}}{2}=6\sqrt{3}\ un^2\\ \\ \\$

2. Note that

$A_{\triangle IJK}=A_{\triangle IAK}=\dfrac{3\sqrt{3}}{2}\ un^2 \\ \\ \\A_{\triangle KLM}=A_{\triangle KAM}=4\sqrt{3}\ un^2 \\ \\ \\A_{\triangle MNI}=A_{\triangle MAI}=6\sqrt{3}\ un^2$

3. The area of hexagon IJKLMN is the sum of the area of all triangles:

$A_{IJKLMN}=2\cdot \left(\dfrac{3\sqrt{3}}{2}+4\sqrt{3}+6\sqrt{3}\right)=23\sqrt{3}\ un^2$

Another way to solve is to find the area of triangle KIM be Heorn's fomula, where all sides KI, KM and IM can be calculated using cosine theorem.

7 0

3 years ago

Please help!!! the principal P is borrowed at simple interest rate for a period of time t. Find the loans future value, A or the

Anuta_ua [19.1K]

Answer:

Step-by-step explanation:

$A=P(1+rt)\\ \\ P=\$ 5900,\ r=0.045,\ t=22/12\\ \\ A=5900(1+0.045(22/12))\\ \\ A=\$ 6386.75$

6 0

3 years ago

joel has an average salary of 34840 works 40 hours a week 52 weeks a year.how much money he makes per hour

seropon [69]

40*52= 2080

34840 / 2080 = $16.75 an hour

5 0

3 years ago

I could really use your help

nydimaria [60]

Answer:

x = $\frac{c-a}{5y}$

Step-by-step explanation:

Given

5xy + a = c ( isolate 5xy by subtracting a from both sides )

5xy = c - a ( isolate x by dividing both sides by 5y )

x = $\frac{c-a}{5y}$

8 0

4 years ago

Please help! I will mark brainliest.

kolezko [41]

D is the answer. Keep in mind that the absolute value of a number is always positive

5 0

4 years ago