Answer:
x = 2√58
Step-by-step explanation:
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs and c is the hypotenuse of a right triangle)
Find the height of the triangle by using the base and hypotenuse of the smaller interior triangle and Pythagoras' Theorem:
a² + b² = c²
⇒ a² + 6² = (6√2)²
⇒ a² = (6√2)² - 6²
⇒ a² = 36
⇒ a = 6
Now we have the base and height of the larger interior triangle, we can calculate x:
a² + b² = c²
⇒ 6² + 14² = x²
⇒ x² = 232
⇒ x = √232
⇒ x = 2√58
Domain: all the real numbers
Range: y ≤ 9/5
i hope u can see the attached graph! :)
Answer:
i) 9
ii) 19 pens, 7 pencils, 3 erasers
Step-by-step explanation:
i) 171 = 3² x 19
63 = 3² x 7
27 = 3³
Highest Common Factor/HCF (171, 63, 27) = 3² = 9
Largest no. of bags = 9
ii) In each bag,
No. of pens = 171 / 9 = 19
No. of pencils = 63 / 9 = 7
No. of erasers = 27 / 9 = 3
Answer:
14 ounces!
Step-by-step explanation:
It's actually quite simple, it's easy too overlook these questions but don't worry, I will help
All you really have to do is count up, what I do is temporarily forget about the fractions I focus on the main number (which in this case is 4) you want to times 4 by the amount of children so (3) 4×3=12
Now the fraction part, all you have to do is count up! 2/3, then 3/3 then 1 1/3 then 1 2/3 then 2!
Now add the original number by the result of the fraction number so 12+2= 14!
Answer:
45°
Step-by-step explanation:
Given,
x° = (90-x)° [Alternate exterior angles]
=> 90 - x = x
=> 90 = x + x
=> 90 = 2x
=> <u>x = 45°(Ans</u><u>)</u>
