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3 years ago

Calculate the area of the triangle.

Mathematics

2 answers:

Ugo [173]3 years ago

6 0

Answer:

76.125

Step-by-step explanation:

14.5 times 10.5
Get 152.25 ft
Divide by 2
Get 76.125 sq. ft

Karo-lina-s [1.5K]3 years ago

3 0

Answer:

Step-by-step explanation:

The formula of an area of a triangle:

$A=\dfrac{1}{2}bh$

b - base

h - height

We have

b = 14.5 ft

h = 10.5 ft

Substitute:

$A=\dfrac{1}{2}(14.5)(10.5)=\dfrac{152.25}{2}=76.125$

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Use the substitution method to solve the given system of equations. Write your answer as an ordered pair, (x, y).

Gnoma [55]

Answer:

(-3, -2)

Step-by-step explanation:

Look at the second equation, we can easily rearrange it to make x the subject.

x - 4y = 5

x = 4y + 5

Now lets put that into the second equation

2x - 2y = -2

2(4y + 5) - 2y = -2

6y + 10 = -2

6y = -12

y = -2

Now lets find x!

x = 4y + 5

x = 4(-2) + 5

x = -3

Now lets format the answer like the question says (ordered pair)

(-3, -2)

Recap: We used substitution and made an equation to work out one of the variables first, then found the second variable using the first.

3 0

3 years ago

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Y=-1/3x^2-4x-5 in vertex form

grigory [225]

Answer:

$Y=-\frac{1}{3}(x+6)^2+7$ [Vertex form]

Step-by-step explanation:

Given function:

$Y=-\frac{1}{3}x^2-4x-5$

We need to find the vertex form which is.,

$y=a(x-h)^2+k$

where $(h,k)$ represents the co-ordinates of vertex.

We apply completing square method to do so.

We have

$Y=-\frac{1}{3}x^2-4x-5$

First of all we make sure that the leading co-efficient is =1.

In order to make the leading co-efficient is =1, we multiply each term with -3.

$-3\times Y=-3\times\frac{1}{3}x^2-(-3)\times4x-(-3)\times 5$

$-3Y=x^2+12x+15$

Isolating $x^2$ and $x$ terms on one side.

Subtracting both sides by 15.

$-3Y-15=x^2+12x-15-15$

$-3Y-15=x^2+12x$

In order to make the right side a perfect square trinomial, we will take half of the co-efficient of $x$ term, square it and add it both sides side.

square of half of the co-efficient of $x$ term = $(\frac{1}{2}\times 12)^2=(6)^2=36$

Adding 36 to both sides.

$-3Y-15+36=x^2+12x+36$

$-3Y+21=x^2+12x+36$

Since $x^2+12x+36$ is a perfect square of $(x+6)$ , so, we can write as:

$-3Y+21=(x+6)^2$

Subtracting 21 to both sides:

$-3Y+21-21=(x+6)^2-21$

$-3Y=(x+6)^2-21$

Dividing both sides by -3.

$\frac{-3Y}{-3}=\frac{(x+6)^2}{-3}-\frac{21}{-3}$

$Y=-\frac{1}{3}(x+6)^2+7$ [Vertex form]

8 0

3 years ago

The larger of two numbers is 11 more than twice the smaller. The sum of the is 1 less than seven times the smaller. Find the num

algol [13]

I think L=17 and S=3

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3 years ago

A landing pad for a helicopter is in the shape of a circle with a radius of 7 meters. Which of the following is closest to the a

ANTONII [103]

Answer:

The approximate value of the area is $153.86\ m^{2}$

Step-by-step explanation:

we know that

The area of the circle (landing pad) is equal to

$A=\pi r^{2}$

we have

$r=7\ m$

substitute

$A=\pi (7)^{2}$

$A=49\pi\ m^{2}$ ----> exact value of the area

Find the approximate value

assume $\pi=3.14$

$A=49(3.14)=153.86\ m^{2}$ ------> approximate value of the area

5 0

3 years ago

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An expression to convert 50 miles per hour to miles per minute is shown. 50 miles Over 1 hour into 1 hour Over blank minutes

Darina [25.2K]

Answer:

$\frac{50 miles}{1 hour} * \frac{1 hour}{60 minutes}$

Step-by-step explanation:

Since 1 hour contains 60 minutes, So 1 hour would by divided by 60

So, the required expression is,

=> $\frac{50 miles}{1 hour} * \frac{1 hour}{60 minutes}$

7 0

3 years ago

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