Answer:
86
Step-by-step explanation:
t = ten's digit u= one's digit
t + u = 14 t = 2u - 4
In the first equation substitute for t 2u - 4 that we find in the second equation above.
t + u = 14
2u - 4 + u = 14 Combine the u's
3u - 4 = 14 Now add 14 to both sides
3u = 18 Divide both sides by 3
u = 6. We found the unit's digit, now we will find the ten's unit by plugging in 6 for u in the first equation above.
t + u = 14
t + 6 = 14 Subtract 6 from both sides
t = 8
So, your answer is 86.
Answer:
54.1° (1 dp)
Step-by-step explanation:
Let the center point of the rectangle PQRS = M
Calculate the length of the line SM using Pythagoras' Theorem:
a² + b² = c²
(11/2)² + (7/2)² = SM²
42.5 = SM²
SM = √42.5 cm
The height of the pyramid is 9 cm, therefore, MT = 9
Now we have a right angled triangle with base SM and height MT and hypotenuse ST
We want to find the angle TSM, so we can use the trig formula tan x = O/A, where x is the angle, O is MT and A is SM
tan TSM = MT/SM = 9/√42.5
TSM = arctan (9/√42.5) = 54.082088°
So the angle between the line ST and the plane PQRS = 54.1° (1 dp)
Answer:
The answer is n + 3.
Step-by-step explanation:
1) Simplify.
2) Factor out the common term 2.
3) Cancle 2.
<u>Th</u><u>e</u><u>refor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>n</u><u> </u><u>+</u><u> </u><u>3</u><u>.</u>
Is it 1-4/5 x 5/12 or 4/5 x 12
Answer:
If one angle of a triangle is 110 deg and the other two angles are both 35 deg, then the figure is an obtuse isosceles triangle.
