I = 42t
When t = 5, I = 42*5 = 210
When t = 6, I = 42*6 = 252
When t = 7, I = 42*7 = 294
When t = 8, I = 42*8 = 336
When t = 9, I = 42*9 = 378
When t = 10, I = 42*10 = 420
3. 8(3+8)
Explanation : 8x3 = 24 + 8x8 =64 which is congruent to 24 +64
L = 3 + 2w
119 = w × ( 3 + 2w )
119 = 3w + 2w^2
2w^2 + 3w - 119 = 0
( w - 7 ) ( 2w + 11 ) = 0
w = 7
x = w
x = 7
<h3>
Answer: 45</h3>
The value is approximate.
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Explanation:
Focus on the upper triangle.
Label the unknown horizontal side as y
Use the pythagorean theorem to solve for y
a^2+b^2 = c^2
10^2 + y^2 = 26^2
100+y^2 = 676
y^2 = 676-100
y^2 = 576
y = sqrt(576)
y = 24
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Now move to the bottom triangle
With respect to the reference angle, the side y = 24 is opposite this. The hypotenuse is unknown.
Use the sine rule to connect the two and solve for x
sin(angle) = opposite/hypotenuse
sin(32) = y/x
sin(32) = 24/x
x*sin(32) = 24
x = 24/sin(32)
x = 45.2899179551967 which is approximate
x = 45 rounding to the nearest whole number
Side x is approximately 45 cm long.
Note: make sure your calculator is in degree mode.
Answer:
1/6 gallon of water
Step-by-step explanation:
Number of hikers = 3
Quantity of water shared = 1/2 gallon of water
If the water was shared equally among the hikers, then,
Amount of water each hiker drank = Quantity of water shared ÷ Number of hikers
= 1/2 ÷ 3
Multiply 1/6 by the reciprocal of 3
The reciprocal of 3 = 1/3
1/2 ÷ 3
= 1/2 × 1/3
= (1 * 1) / (2 * 3)
= 1/6
Amount of water each hiker drank = 1/6 gallon of water
