Answer:
The answer to your question is:
7.- y = 6 units
8.- a = 10.6 in
9.- 41.6 ft
Step-by-step explanation:
7.- That is a right triangle and the hypotenuse is y.
Use the pythagorean theorem to find y.
y² = (3√2)² + (3√2)²
y² = 9(2) + 9(2)
y² = 18 +18
y² = 36
y = 6 units
8.-
hypotenuse = 15 in
c² = a² + b²
a = b so
c² = a² + a²
c² = 2a²
c² / 2 = a²
a² = 15² / 2
a² = 112.5
a = 10.6 in
9.-
Use trygonometry to solve this triangle
height = 36 feet
sin Ф = 36 / hypotenuse
hypotenuse = 36 / sin Ф
hypotenuse = 36 / sin60
hypotenuse = 36 / 0.86
hypotenuse = 41.6 ft
No she would not have a fuller tank if she had 4/5 of one instead of 7/8.
In this situation you need to convert the fractions so that they have common denominators.
In order to achieve this I multiplied both the numerator and the denominator of 7/8 by 5.
I also multiplied both the numerator and denominator of 4/5 by 8.
7/8*5=35/40.
4/5*8=32/40.
Now you can easily tell that 7/8 is larger than 4/5.
Hope this helps! (:
51/3 =17 because 3×17 =51
Answer:
5. Statement: CA ≅ CA, Reason: Reflexive Property of Congruence
6. Statement: △ABC ≅ △ADC, Reason: AAS Congruence Theorem
Step-by-step explanation:
This satisfies the AAS congruence theorem, proving that △ABC is congruent to △ADC.
I'm not 100% sure but I think It's 7.6
