a. The GCF of 18 and 21 is<em> </em><em>3.</em>
18 +21 = <em>6 x 3 + 7 x 3 = 3(6 + 7)</em>
b. The GCF of 56 and 35 is <em>7.</em>
56 + 35 = <em>7(8 + 5)</em>
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<em>Hope I helped!</em>
Answer: C) 297 in2
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Surface area of a square pyramid (S) = 2 (length of the base) slant + length of the base ^2
S = 2bs + b^2
Replacing with the values given:
S = 2 (9) 12 + 9^2
S = 216 +81 = 297 square inches
Feel free to ask for more if needed or if you did not understand something.
13:
A- The scale factor is 16 (80/5)
14:
A- The scale factor is 6 (30/5)
B- The perimeter of the scale drawing is 14 feet (5x2) + (2x2)
C- The area of the scale drawing 10 ft. sq (base x height) (5 x 2)
D- The perimeter of the actual screen is 84 feet (30x2) + (12x2)
E- The area of the actual screen is 360 ft. sq (base x height) (30 x 12)
Hope this helped you out tons! :D
From the graph we can see that the line is passing through following two points:
(0,1) and (-4, -2)
Slope = m = (-2 - 1)/(-4 -0 ) = -3/-4 = 3/4
So the slope of given line is 3/4
Thus the correct answer is option B
Let
P(h)= probability of selecting heart = 13/52= 1/4
similarly
P(s)= probability of selecting spade =1/4
P(c)= probability of selecting club =1/4
P(d)= probability of selecting diamond =1/4
a)
P(h or s)= P(h)+P(s)= 1/4+1/4=2/4=1/2=0.5
b)
P(h or s or c)=P(h)+P(s)+P(c)=1/4+1/4+1/4=3/4=0.75
c)
P(2 or a diamond)=n(2heart, 2spade,2club,13 diamonds)/total number of cards
=(1+1+1+13)/52=16/52=4/13=0.3
or we could solve it as follows:
P(2 or a diamond)=P(2)+P(diamond)-P(2diamond)=4/52 + 13/52 + 1/52 = (4+13-1)/52=16/52=0.3
