Answer:
Base = 32 cm
Height = 25 cm
Step-by-step explanation:
Area of a triangle can be calculated as:
We are given that the base of triangle exceeds the height by 7 cm. This can be expressed in an equation form as:
Base = Height + 7
Lets use B to represent base and H to represent height
B = H + 7
The equation of area can be stated as:
This is a quadratic equation which can be solved using a quadratic equation as shown below:
Since the height cannot be negative, we'll consider the positive value only i.e height is equal to 25 cm.
Therefore, the length of base will be 25 + 7 = 32 cm.
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9² = 12² + 15² - 2 (12) (15) cos (B)
81 = 144 + 225 - 360 cos(B)
81 = 369 - 360 cos (B)
360 cos (B) = 369 - 81
360 cos (B) = 288
cos (B) = 0.8
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Answer: Cosine B = 0.8
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12² = 15² + 9² - 2 (15)(9) cos (A)
144 = 225 + 81 - 270 Cos A
144 = 306 - 270 Cos A
270 Cos A = 162
Cos A = 3/5 or 0.6
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Answer: Cosine Angle A = 3/5
Answer:
Total number of dimes=6
Total number of nickels=12
Step-by-step explanation:
The expression for the total value of money Jayden has is;
Nickels have a value of= $0.05
Dimes have a value of= $0.10
Total value=(value of nickels×number of nickels)+(value of dimes×number of dimes)
where;
Total value=$1.20
Value of a nickel=$0.05
number of nickels=y, but y=2 x
Value of a dime=0.10
number of dimes=x
replacing;
1.20=(0.05×2 x)+(0.1×x)
0.1 x+0.1 x=1.2
0.2 x=1.2
x=1.2/0.2
x=6
y=2 x=2×6=12
Total number of dimes=6
Total number of nickels=12
Answer:
3
Step-by-step explanation:
x = 1
y = 1
6+4-7 = 3
