Answer:
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Step-by-step explanation:
Given that , Length of Base and Hypotenuse is 12 cm and 24 cm , respectively .
Need To Find : The measure of Angle x .
<em>As </em><em>We </em><em>know </em><em>that </em>,
Cos ∅ = Base / Hypotenuse
ㅤㅤ <u>By </u><u>Substituting </u><u>known </u><u>Values </u><u>:</u>
ㅤ⤀Cos x = 12/24
ㅤ⤀Cos x = ½
ㅤ⤀Cos 60⁰ = ½
Therefore,
Answer:
7.8 cm and 25.3 cm
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
?² + 7² = 10.5²
?² + 49 = 110.25 ( subtract 49 from both sides )
?² = 61.25 ( take the square root of both sides )
? =
≈ 7.8 cm ( to 1 dec. place )
Then
P = 10.5 + 7 + 7.8 = 25.3 cm
Answer:
Simon's Age = 47
Marcie's Age = 11
Step-by-step explanation:
<em>The question is to find Simon's age and Marcie's age.</em>
<em />
Let Simon's age be x and Marcie's age be y
<u>Simon is 3 years more than 4 times marcie, so we can write:</u>
x = 4y + 3
Also,
<u>Sum of their ages is 58, so we can write:</u>
x + y = 58
or x = 58 - y
Now, we substitute this into 1st equation and solve for y first:

We know
x = 58 - y
so,
x = 58 - 11
x = 47
So,
Simon's Age = 47
Marcie's Age = 11