Answer:
1 pint of tea left in the pitcher.
Step-by-step explanation:
A pitcher contains 40 fluid ounces
1 cup = 8 fluid ounces
3 cups = 3*8 = 24 fluid ounces
After pouring tea in 3 cups,
tea left in pitcher = 40 - 24 = 16 fluid ounces
1 pint = 16 ounces
Therefore, 1 pint left.
Hope this will helpful.
Thank you.
A. <span>x=<span><span>8</span><span><span>−3+<span>√<span><span><span>137/</span></span><span></span></span></span></span></span><span></span></span><span><span>8</span><span><span>−3−<span>√<span><span><span>137</span></span><span></span></span></span></span></span><span>/8
B.</span></span></span>
<span>x=<span><span>4</span><span><span>−7+<span>√<span><span><span>97</span></span><span></span></span></span></span></span><span></span></span>,<span><span>/4</span><span><span>,−7−<span>√<span><span><span>97/4
hope this helps
</span></span><span></span></span></span></span></span><span></span></span></span>
Answer:
A = 24t² + 2t
Step-by-step explanation:
The shaded area (A) is calculated as
A = area of outer square - area of rectangle
= (5t)² - t(t - 2)
= 25t² - t² + 2t
= 24t² + 2t
Diagram for part A and part C is attached herewith.
Solving for part B:-
Given is the circle O. We start with drawing two radii OA and OC, then we join two points A and C to make a chord AC of the circle. Now The radius of the circle intersects the chord AC at point B such that it bisects AC into two equal parts AB and BC. Now we have two triangles ΔOBA and ΔOBC. In these two triangles, we have OA=OC (radii of circle), OB=OB (reflexive property), and BA=BC (given in the question). Using SSS congruency of triangles we can say ΔOBA≡ΔOBC and using CPCTC, we can conclude ∡OBA=∡OBC (=90°). Hence OB⊥AC i.e. OB is perpendicular to AC.
Solving for part D:-
Given is the circle O. We start with drawing two radii OA and OC, then we join two points A and C to make a chord AC of the circle. Now The radius of the circle intersects the chord AC at point B such that AB is perpendicular to AC i.e. ∡B=90°. Now we have two Right triangles ΔOBA and ΔOBC. In these two triangles, we have OA=OC (radii of circle), OB=OB (reflexive property). Using HL congruency of right triangles we can say ΔOBA≡ΔOBC and using CPCTC, we can conclude BA=BC. Hence OB bisects AC into AB=BC.
Answer:
25%
Step-by-step explanation:
Roll a die the first time 1,2,3,4,5,6
odd number: 1,3,5
P (odd) = number of odds/ total
= 3/6 = 1/2
Now we roll the die again
Roll a die the second time 1,2,3,4,5,6
even number: 2,4,6
P (even) = number of evens/ total
= 3/6 = 1/2
Since rolling the die the second time is not affected by the first roll
P (odd, then even) = P(odd)* P(even)
= 1/2* 1/2 = 1/4
Writing as a percent
1/4 = 1/4*25/25 = 25/100 = 25%