Answer:
Tina's height is <em>x</em> inches. She is shorter than her brother, whos height <em>56 </em>inches.
Step-by-step explanation:
Let the height of Tina = x inches
and the height of her brother = 56 inches
if Tina is shorter than her brother then,
<u>x < 56 inches</u>
The formula for the area of a trapezium is as follows:
<span>area=<span>12</span>(a+b)h
</span>
Let a be the shorter base. Then a = h + 3.
Let b be the longer base. Then b = h + 7.
Substituting these values for a and b in the general formula gives:
<span>
area = 225 = <span>12</span>(h+3+h+7)h = <span>h^2</span>+5h</span>
So you need to solve the following quadratic:
<span><span>h^2</span>+5h−225=0</span>
Step 1: Use quadratic formula with a=1, b=5, c=-225.
<span>h=<span><span><span>−b</span>±<span>√<span><span>b2</span>−<span><span>4a</span>c</span></span></span></span><span>2a</span></span></span><span>h=<span><span><span>−<span>(5)</span></span>±<span>√<span><span><span>(5)</span>2</span>−<span><span>4<span>(1)</span></span><span>(<span>−225</span>)</span></span></span></span></span><span>2<span>(1)</span></span></span></span><span>h=<span><span><span>−5</span>±<span>√925</span></span>2</span></span><span><span>h=<span><span><span>−5/</span>2</span>+<span><span><span><span>5/2</span><span>√37</span></span><span> or </span></span>h</span></span></span>=<span><span><span>−5/</span>2</span>+<span><span><span>−5/</span>2</span><span>√37
</span></span></span></span>Answer:<span><span>h=<span><span><span>−5/</span>2</span>+<span><span><span><span>52</span><span>√37</span></span><span> or </span></span>h</span></span></span>=<span><span><span>−5/</span>2</span>+<span><span><span>−5/</span>2</span><span>√<span>37</span></span></span></span></span>
Answer:
43 and 56/12
Step-by-step explanation:
Answer:
negative
positive
negative
zero
positive
Step-by-step explanation:
Situation 1: A football team's first play resulted in a loss of 15 yards.
negative
Situation 2: A store marks up the price of a calculator $5.20.
positive
Situation 3: Nina withdrew $50 from her bank account.
negative
Situation 4: A porpoise is swimming at sea level.
zero
Situation 5: Kylie scored 2 goals in yesterday's soccer game.
positive
Principal amount of money deposited by Mat in the bank = $2000
Rate of simple interest given by the bank = 10%
Number of years for which the money is kept in the bank = 5 years
As no money was withdrawn from the account, so
Amount after 5 years = Principal [1 + (Rate * Time)]
= 2000 [ 1 + (10/100) * 5]
= 2000 [ 1 + (1/2)]
= 2000 * (3/2)
= 1000 * 3
= 3000 dollars
So the amount of money made by Mat after 5 years will be $3000.00
