Answer:
c=10mm
Step-by-step explanation:
Using pythagoras theorem,
hypotenuse²=base²+altitude²
=√19²+9²
=19+81
=100
Hypotenuse²=100
Hypotenuse=√100
=10
Let's solve your equation step-by-step.<span><span><span><span>6n</span>+n</span>+14</span>=0</span>
Step 1: Simplify both sides of the equation.<span><span><span><span>6n</span>+n</span>+14</span>=0</span><span>Simplify: (Show steps)</span><span><span><span>7n</span>+14</span>=0</span>
Step 2: Subtract 14 from both sides.<span><span><span><span>7n</span>+14</span>−14</span>=<span>0−14</span></span><span><span>7n</span>=<span>−14</span></span>
Step 3: Divide both sides by 7.<span><span><span>7n</span>7</span>=<span><span>−14</span>7</span></span><span>n=<span>−2</span></span>
Answer:<span>n=<span>−<span>2</span></span></span>
Answer:
168 ft²
Step-by-step explanation:
The equation for the lateral area of a square pyramid is LA = (Pl/2)
Plug in the values LA = (24(14)) / 2
LA = 336/2
LA = 168 ft²
Answer:
The number of students who took English and History, but not Math is 143.
Step-by-step explanation:
Denote the subject choices as follows:
<em>M</em> = a students was taking Math
<em>E</em> = a students was taking English
<em>H</em> = a students was taking History
The data provided is as follows:
N (M) = 257
N (E) = 282
N (H) = 323
n (M ∩ E) = 154
n (M ∩ H) = 171
n (E ∩ H) = 143
n (M ∩ E ∩ H) = 80
Consider the Venn diagram below.
From the provided data and the Venn diagram the value of the set E and H minus M is 143.
Thus, the number of students who took English and History, but not Math is 143.