area of a triangle is 240 centimetre square and its base is 20 CM then find its height of the triangle

EASY GEOMETRY**<br>name the BAC labeled in the triangle.

ehidna [41]

Answer:

Acute

Step-by-step explanation:

This answer is acute because obtuse is arm width a right angle is a straight L a straight angle is just a line and acute angle is a little pinch

6 0

4 years ago

Read 2 more answers

g Use this to find the equation of the tangent line to the parabola y = 2 x 2 − 7 x + 6 at the point ( 4 , 10 ) . The equation o

natali 33 [55]

Answer:

The tangent line to the given curve at the given point is $y=9x-26$ .

Step-by-step explanation:

To find the slope of the tangent line we to compute the derivative of $y=2x^2-7x+6$ and then evaluate it for $x=4$ .

$(y=2x^2-7x+6)'$ Differentiate the equation.

$(y)'=(2x^2-7x+6)'$ Differentiate both sides.

$y'=(2x^2)'-(7x)'+(6)'$ Sum/Difference rule applied: $(f(x)\pmg(x))'=f'(x)\pm g'(x)$

$y'=2(x^2)'-7(x)'+(6)'$ Constant multiple rule applied: $(cf)'=c(f)'$

$y'2(2x)-7(1)+(6)'$ Applied power rule: $(x^n)'=nx^{n-1}$

$y'=4x-7+0$ Simplifying and apply constant rule: $(c)'=0$

$y'=4x-7$ Simplify.

Evaluate y' for x=4:

$y'=4(4)-7$

$y'=16-7$

$y'=9$ is the slope of the tangent line.

Point slope form of a line is:

$y-y_1=m(x-x_1)$

where $m$ is the slope and $(x_1,y_1)$ is a point on the line.

Insert 9 for $m$ and (4,10) for $(x_1,y_1)$ :

$y-10=9(x-4)$

The intended form is $y=mx+b$ which means we are going need to distribute and solve for $y$ .

Distribute:

$y-10=9x-36$

Add 10 on both sides:

$y=9x-26$

The tangent line to the given curve at the given point is $y=9x-26$ .

------------Formal Definition of Derivative----------------

The following limit will give us the derivative of the function $f(x)=2x^2-7x+6$ at $x=4$ (the slope of the tangent line at $x=4$ ):

$\lim_{x \rightarrow 4}\frac{f(x)-f(4)}{x-4}$

$\lim_{x \rightarrow 4}\frac{2x^2-7x+6-10}{x-4}$ We are given f(4)=10.

$\lim_{x \rightarrow 4}\frac{2x^2-7x-4}{x-4}$

Let's see if we can factor the top so we can cancel a pair of common factors from top and bottom to get rid of the x-4 on bottom:

$2x^2-7x-4=(x-4)(2x+1)$

Let's check this with FOIL:

First: $x(2x)=2x^2$

Outer: $x(1)=x$

Inner: $(-4)(2x)=-8x$

Last: $-4(1)=-4$

---------------------------------Add!

$2x^2-7x-4$

So the numerator and the denominator do contain a common factor.

This means we have this so far in the simplifying of the above limit:

$\lim_{x \rightarrow 4}\frac{2x^2-7x-4}{x-4}$

$\lim_{x \rightarrow 4}\frac{(x-4)(2x+1)}{x-4}$

$\lim_{x \rightarrow 4}(2x+1)$

Now we get to replace x with 4 since we have no division by 0 to worry about:

2(4)+1=8+1=9.

6 0

3 years ago

A class has 10 boys and 12 girls. in how many ways can a committee of four be selected if the committee can have at most two gir

V125BC [204]

<span> C(12,0)C(10,4)+C(12,1)C(10,3)+C(12,2)C(10,2) = (1)(210)+(12)(120)+(66)(45) = 210+1440+2904 = 4554 Answeer: 4554 ways</span>

5 0

3 years ago

Terry has a savings account that pays 1.9% interest per year. Terry’s grandmother opened the account for him on his 10th birthda

noname [10]

Answer:

he will make 38 dollars by his 14th birthday

5 0

3 years ago

A right rectangle prism has a length of 2 1/2 feet, a width of 3 feet, and a height of 1 1/2 feet. Unit cubes with side lengths

Snezhnost [94]

Answer:

Volume = 11 1/4 feet cubed

90 cubes can be added to fill the prism.

Step-by-step explanation:

(L)(W)(H) = volume

(2 1/2)(3)(1 1/2) = 11 1/4 ft cubed

1 cube is 1/2 a foot so 2 1/2 ft is 5 cubes, 3 ft is 6 cubes, and 1 1/2 ft is 3 cubes.

(5)(6)(3) = 90 cubes

6 0

3 years ago

area of a triangle is 240 centimetre square and its base is 20 CM then find its height of the triangle​

area of a triangle is 240 centimetre square and its base is 20 CM then find its height of the triangle