In ARST, r = 52 cm, s = 55 cm and ZT=48°. Find the length of t, to the nearest
centimeter.
Answers
9514 1404 393
Answer:
44 cm
Step-by-step explanation:
The law of cosines is applicable.
t^2 = r^2 + s^2 -2rs·cos(T)
t^2 = 52^2 +55^2 -2·52·55·cos(48°) ≈ 1901.57
t ≈ √1901.57 ≈ 43.607
The length of t is about 44 cm.
Hey there!
[tex]\dagger \: \sf\red{Question:}[/tex]In ARST, r = 52cm, s = 55cm and ZT = 48°. Find the length of T, to the nearest centimeter. [tex]\dagger \: \sf\blue{Solution:}[/tex]By the law of cosines,
[tex]{\underline{\boxed{\frak{\pmb{\quad {t}^{2} = {r}^{2} + {s}^{2} - 2rs \times cos(T) }}}}} [/tex][tex]\implies\tt[/tex] t² = (52)² + (55)² - 2 × 52 × 55 × cos(48°)
[tex]\implies\tt[/tex] t² ≈ 1901.57
[tex]\implies\tt[/tex] t² = √1901.57
[tex]\implies\tt[/tex] t² = 43.607
[tex]\implies\tt[/tex]t = 44 cmTherefore;
The length of t is 44 cm.Related Questions
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Answers
Answer:
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Step-by-step explanation:
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Answer
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Step-by-step explanation:
HELP!! Select the inequality that match the situation:
A school fundraiser has a minimum target of $500. Faculty have donated $100 and there.are 12 student clubs that are participating with different activities. How much money
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12x - 100 > 500 12x + 100 > 500 12x - 100 ≥ 500 12x + 100 ≥ 500 12x - 100 < 500 12x +100 ≤ 500
Answers
Given:
A school fundraiser has a minimum target of $500.
Faculty have donated $100 and there are 12 student clubs that are participating with different activities.
To find:
The inequality for the given situation.
Solution:
Let x be the money raised by each club.
Number of clubs is 12. So, total money raised by 12 clubs is 12x.
Faculty have donated $100.
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Answers
Answer:
f(x) = 3x + 1
Step-by-step explanation:
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The proper angle for a ladder is about 75' from the ground. Suppose you have a 21 foot ladder. How high
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Answers
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Which factor causes Earth’s seasons?
Answers
Answer:
Earth's tilted axis makes the seasons. Different parts of Earth receive the Sun at different times in the year.
Quick Fact:
North tilts toward the Sun, it's summer in the Northern Hemisphere.
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Done ✔
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Answers
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Step-by-step explanation:
Determine whether the equation has one solution, no solution, or infinite solutions.
Explain your reasoning.
9x + 2 = -4(x + 6)
Answers
Answer:
The equation has 1 solution.
Step-by-step explanation:
Because you don't get the same answer on both sides, this equation does not have infinately many solutions. Because you don't get an invalid answer, such as 1 = 0, this equation doesn't have one solution. When you solve this equation, you'd get something similar to this
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Answers
Answer:
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Step-by-step explanation:
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Step 2: Figure out the complementary angle
Since ∠ABD and ∠DBC are complementary, that means that they should add up to 90°. Since the angle value of ∠ABD is 50°, that means that the angle value of ∠DBC should be 90° - 50° = x.
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Answers
Answer:
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Step-by-step explanation:
therefore,
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Answer:
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Step-by-step explanation:
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Answer:
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Answers
Answer:
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Answer:
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Answers
Answer:
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Answer:
for first one
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Step-by-step explanation:
for second one
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BRAINLIEST FOR CORRECT
Answers
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Answers
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Answers
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
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Answers
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Step-by-step explanation:
For net shown, the 5 in x 2 in . in rectangles represent the bases of a solid .
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Answers
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2.8
2.8
4
Figure A
10
10
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Figure B
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Answers
Answer:
no
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Hope it helps ;)
let me know
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Answers
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Step-by-step explanation:
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b91
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Answers
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Answers
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(calculate)
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(reorder the terms)
= 19+[tex]3x^{2}[/tex]-9x
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Answers
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Step-by-step explanation:
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a.
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2 d. 9
Answers
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I don't know ... yet!