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IrinaK [193]
3 years ago
9

the base of a triangle is four more than twice its height. if the area of the triangle is 45 square centimeter., find its base a

nd height​
Mathematics
1 answer:
kenny6666 [7]3 years ago
4 0

Answer:

Step-by-step explanation:

triangle area = (length*width)/2

height(length): x

base(width): 8x

area = 45

8x^2=45

solve for x

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Solve for x:x-7=-20<br>1)13<br>2)27<br>3)-13<br>4)-3​
Marianna [84]

3.)-13

x-7= -20

x = -20+7

x= -13

4 0
2 years ago
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The height H of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 9
mariarad [96]

Answer:

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

Step-by-step explanation:

Statement is incorrect. Correct form is presented below:

<em>The height </em>h(t)<em> of an ball that is thrown straight upward from an initial position 3 feet off the ground with initial velocity of 90 feet per second is given by equation </em>h(t) = 3 +90\cdot t -16\cdot t^{2}<em>, where </em>t<em> is time in seconds. After how many seconds will the ball be 84 feet above the ground. </em>

We equalize the kinematic formula to 84 feet and solve the resulting second-order polynomial by Quadratic Formula to determine the instants associated with such height:

3+90\cdot t -16\cdot t^{2} = 84

16\cdot t^{2}-90\cdot t +81 = 0 (1)

By Quadratic Formula:

t_{1,2} = \frac{90\pm \sqrt{(-90)^{2}-4\cdot (16)\cdot (81)}}{2\cdot (16)}

t_{1} = 4.5\,s, t_{2} = 1.125\,s

The ball will be 84 feet above the ground 1.125 seconds and 4.5 seconds after launch.

3 0
2 years ago
Micah is flying a kite and has used all of the 50 meters of the string. If the kite is 13 meters above the ground, what is the a
Norma-Jean [14]

Answer:

60.0735651 degrees

Step-by-step explanation:

So the hypotenuse is 50 and the vertical leg is 13

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sin(x) = 13/50

x = asin(13/50)

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4 0
3 years ago
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Pani-rosa [81]

Answer:

The given sequence is:

a(2)=1

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Average rate of change = 

So the average rate of change for the given function from n = 3 to n = 4 is 6

Step-by-step explanation:

8 0
3 years ago
Please help me with this homework
devlian [24]

Answer:

Well rewriting literal equations can help you understand better and you'll have more room to write the answer and figure it out.

Step-by-step explanation:

8 0
3 years ago
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