L x W = 105
L + W = 26 so L = 26 - W
substitute L = 26 - W into L x W = 105
(26 - W) x W = 105
26W - W^2 = 105
W^2 - 26W + 105 = 0
(W - 21)(W - 5) = 0
W - 21 = 0; W = 21
W - 5 = 0; W = 5
The the dimensions of the rectangle are 5 ft and 21 ft.
Double check:
The sum of the length and the width is 26 feet: 21 + 5 = 26 feet
A rectangle has an area of 105 square feet: 21 x 5 = 105 square feet
Answer: x^2+5
Step-by-step explanation:
x is the unknown variable which is representing the number squared and then you add 5 to complete expresssion.
Answer:
12950
Step-by-step explanation:
So it cuts the y axis at -9 as it has a gradient of 0.
Therefore y=-9 is the equation, as y=mx+c, it intercepts at -9 and has a gradient of 0, therefore y=0x-9 so y=-9.
The measure of angle A will be 61°
The sum of A and B is 122°
The sum of A B and C is 151°
<h3>How to calculate the angle?</h3>
It should be noted that complementary angles have an angle of 90°.
Therefore, the value of A will be:
= 90° - 29°
= 61°
The value of B will be:
= 90° - 29 = 61°
The value of A and B will be:
= 2 × 61°
= 122°
The value of A B and C will be:
= 122 + 29
= 151°
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