<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:
61.712
Step-by-step explanation:
Multiply .8x.04
Multiply .8x.0
Multiply .8x2
Multiply .8x2
Than add a zero under the answer of .8x.04
Multiply 2x.04
Multiply 2x.0
Multiply 2x2
Multiply 2x 2
F(-5) x g(-5)
f(-5) = -2(-5) - 7
f(-5) = 10 - 7
f(-5) = 3
g(-5) = -4(-5) + 3
g(-5) = 20 + 3
g(-5) = 23
f(-5) x g(-5) = 3 x 23 = 69
Your answer is 69
Answer:
36π - 72 sq in.
Step-by-step explanation:
π×12² = 144π
90/360 × 144π = 36π
Triangle = ½ × 12 × 12 = 72
Segment = 36π - 72
Answer:
942.48
Step-by-step explanation:
V=πr^2h=π·5^2·12≈942.4778