Answer:
L=21.6in and w=13.6
Step-by-step explanation:
If the length is 8 inches longer than its width, we can write the width as "w" and the length as the width w+ 8
Area is (width)(Length) = (width)(width+8)
W
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| | L = w+8
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A = (w+8)(w)
A = w2 + 8w = 295.
(Problem states that area is 295 sq in)
Need to solve this quadratic equation
w2 +8y - 295 = 0
Factor:
(w - 13.64) (w + 21.64) = 0
So
w - 13.64 = 0. or. w + 21.64= 0
Solve these and get
w = 13.64. or. w = -21.64
Only one that makes sense in real life is the poitive one.
So the dimensions are
Width = 13.64 inches
Length = 21.64 inches
Angles opposite to the equal sides of an isosceles triangle are equal, so the third angle in this triangle is also 61. Now, you know all the angles in the triangle, you can use the Triangle Sum Theorem, which says that all the angles in a triangle add up to 180.
x + 61 + 61 = 180
x + 122 = 180
x = 58
Hope this helped!
Answer:
(1,-1)
Step-by-step explanation:
The graph is being shifted 6 units to the right which affects the x-value and it is also being affected 2 units down which affects the y-value.
Answer:
36 stickers
Step-by-step explanation:
7 erasers in each bag
7 x 3 bags = 21 erasers total
57 - 21 =36
Equation:
Total items = 7x + 12y
Step-by-step explanation:
A proper noun is a specific name for a particular person, place, or thing.
The Internet is a communication network that gained popularity in the 1990s.
<h2>A proper noun should always start with a capital letter, whether at the <u>s</u><u>t</u><u>a</u><u>r</u><u>t</u><u> </u><u>o</u><u>r</u><u> </u><u>m</u><u>i</u><u>d</u><u>d</u><u>l</u><u>e</u><u> </u><u>o</u><u>f</u><u> </u><u>a</u><u> </u><u>sentence</u><u>.</u></h2>