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4 years ago

How do I work out this equation?

Mathematics

1 answer:

Annette [7]4 years ago

4 0

$a_{11}=2\cdot11^2+3\cdot11-2=2\cdot121+33-2=242+31=273$

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A lifeguard is in a look out chair and sees a person in distress. The eye level of the lifeguard is 15 feet above the ground. Th

faltersainse [42]

Answer:

Horizontal distance between lifeguard and the person is 22 feet.

Step-by-step explanation:

Given: A lifeguard sees a person in distress.The eye level of the lifeguard is 15 feet above the ground. Angle of depression is 34°.

To find: Horizontal distance between lifeguard and the person.

Solution : If we draw a triangle then tan∅ = $\frac{height}{base}$

Here base is the horizontal distance.

Now we put the values in the formula.

tan 34° = $\frac{15}{base}$

Or Base = $\frac{15}{tan34}$

= $\frac{15}{0.675} = 22.22 feet$

So the answer is 22 feet.

7 0

3 years ago

At princess lake there are 100 ducks. if the number of ducks at the lake doubles every 6 months, how many ducks will there be in

arsen [322]

I guess 1600
i hope that's true

4 0

3 years ago

Read 2 more answers

Prove that H c G is a normal subgroup if and only if every left coset is a right coset, i.e., aH = Ha for all a e G

Kaylis [27]

$\Rightarrow$

Suppose first that $H\subset G$ is a normal subgroup. Then by definition we must have for all $a\in H$ , $xax^{-1} \in H$ for every $x\in G$ . Let $a\in G$ and choose $(ab)\in aH$ ( $b\in H$ ). By hypothesis we have $aba^{-1} =abbb^{-1}a^{-1}=(ab)b(ab)^{-1} \in H$ , i.e. $aba^{-1}=c$ for some $c\in H$ , thus $ab=ca \in Ha$ . So we have $aH\subset Ha$ . You can prove $Ha\subset aH$ in the same way.

$\Leftarrow$

Suppose $aH=Ha$ for all $a\in G$ . Let $h\in H$ , we have to prove $aha^{-1} \in H$ for every $a\in G$ . So, let $a\in G$ . We have that $ha^{-1} =a^{-1}h'$ for some $h'\in H$ (by the hypothesis). hence we have $aha^{-1}=h' \in H$ . Because $a$ was chosen arbitrarily we have the desired .

5 0

3 years ago

Point C is located 8 inches from point A and 6 inches from point B. Points A and B are 2 inches apart.

marshall27 [118]

Answer:

Step-by-step explanation:

4 0

3 years ago

Tickets to a play cost $14 each by mail, plus a $2 processing fee for each order or one or more tickets. Write a rule to describ

Aneli [31]

The equation would be 14x+2=t......

Breakdown: 14 times X (the number of tickets purchased) plus the one time processing fee of 2 dollars will equal T (the total)

6 0

3 years ago