Answer:
Yes
Step-by-step explanation:
The first and last choices are the only ones whose angles total 180 degrees, so they're the only possible triangles.
Let the complex number be x + iy
Then by the pythagoras therem
17 = x^2 + y^2
D will satisfy this equation
4^2 + (-1)^2 = 17
answer is D 4 - i
Answer:
$51.50
Step-by-step explanation:
<em>Let the amount that Phil give to her sister be
</em>
<em><u>After Phil's sister pays her debt of 10, Phil and her sister should have EQUAL amount. </u></em>So we can write the equation as:

Now solving this for x, we have:

Hence, Phil must give $51.50 to her sister.
Answer:
a) 58.24 square centimeters
b) 5cm
Step-by-step explanation:
a) Area of a parallelogram
The formula for the Area of a parallelogram = Base × Height
Height : 5.2cm
Base : 11.2cm
Area = 5.2 cm × 11.2cm
= 58.24 square centimeters
b) Volume of a cuboid
The formula for the Volume of a cuboid = Length × Width × Height
7cm = Width
3cm = Length
y = Height
Volume = 105cm³
We are to find y
Hence,
105cm³ = 7cm × 3cm × y
y = 105cm³/7cm × 3cm
y = 5cm