Answer:
The x coordinate would be 4.
Step-by-step explanation:
In order to find this, we'll make the y terms cancel. To do this, we need to multiply the whole second term by -1 and then add them together.
3x + 5y = 10
-x - 5y = -2
-----------------
2x = 8
Now that we have this, we can divide to get the answer.
2x = 8
x = 4
Answer:
<u>First page:</u>
Calculate the surface area of <u>shapes</u> using two-dimensional nets.
Calculate the surface area of prisms by adding up the <u>sides</u> of each face.
(For the table use your glossary)
<u>Second page:</u>
1.) 6
2.) 7
3.)51
Answer:
44.47 cm² (nearest hundredth)
Step-by-step explanation:
Area of ΔABC = 1/2 x base x height
⇒ 21 = 1/2 x 7 x BC
⇒ BC = 6 cm
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
⇒ AB² + BC² = AC²
⇒ 7² + 6² = AC²
⇒ AC² = 85
⇒ AC = √85 cm
Cosine rule to find length AD:
c² = a² + b² - 2 ab cosC
⇒ DC² = AD² + AC² - 2(AD)(AC)cos(DAC)
⇒ 9.2² = AD² + (√85)² - 2(AD)(√85)cos 73°
⇒ AD² - 5.39106...AD + 0.36 = 0
⇒ AD = 5.323442445, 0.06762541414
⇒ AD = 5.323442445
Area of a triangle ADC: (1/2)absinC
(where a and b are adjacent sides and C is the angle between them)
⇒ area = (1/2) × AC × AD × sin(DAC)
⇒ area = (1/2) × √85 × 5.323442445 × sin(73°)
⇒ area =23.4675821... cm²
Area of quadrilateral = area of ΔABC + area of ΔADC
= 21 + 23.4675821...
= 44.47 cm² (nearest hundredth)
D is .001. C is 1/1000.
To find b you have to do 5/6=x/100 and once you find that you can find a by moving the decimal over to the left two times
I think it would be 363.21 because you are moving the digits down by 10
