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4 years ago

A cone-shaped tent has a diameter of 12 ft and a height of 6 ft.

Mathematics

1 answer:

mel-nik [20]4 years ago

6 0

Im thinking 226.08

v=1/3pie r^2 h
v=1/3Pie (6) ^2 (6)
v=1/3 pie (36) (6)
v=1/3 pie (216)
v=72 pie
72 x 3.14=226.08

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A bridge in the shape of an arch connects two cities separated by a river. The two ends of the bridge are located at (–7, –13) a

sdas [7]

Answer:

$y=-\dfrac{13}{49}x^2$

Step-by-step explanation:

The shape of an arch corresponds to a parabola.

the general equation for a parabola is:

$y=ax^2+bx+c$

we're given three coordinates: (-7,-13),(7,-13) and (0,0)

so we can plug these values in the general equation to make 3 separate equations:

(x,y) = (-7,-13)

$-13=a(-7)^2+b(-7)+c$

$49a-7b+c=-13$

(x,y) = (7,-13)

$-13=a(7)^2+b(7)+c$

$49a+7b+c=-13$

(x,y) = (0,0)

$0=a(0)^2+b(7)+c$

$c=0$

so we have three equations. and we can solve them simultaneously to find the values of a,b, and c.

we've already found c = 0, let's use substitute it to other equations.

$49a-7b+c=-13\quad\Rightarrow\quad49a-7b=-13$

$49a+7b+c=-13\quad\Rightarrow\quad49a+7b=-13$

we can solve these two equation using the elimination method, by simply adding the two equations

$\quad\quad49a-7b=-13\\+\quad49a+7b=-13$

------------------------------

$\quad\quad 98a=-26$

$\quad\quad a=-\dfrac{13}{49}$

Now we can plug this value of a in any of the two equations.

$49a-7b=-13$

$49\left(-\dfrac{13}{49}\right)-7b=-13$

$-13-7b=-13$

$-7b=0$

$b=0$

We have the values of a,b, and c. We can plug them in the general equation to find the equation of the arch.

$y=\left(-\dfrac{13}{49}\right)x^2+0x+0$

$y=-\dfrac{13}{49}x^2$

$49y=-13x^2$

This our equation of the arch!

5 0

3 years ago

A seamstress uses 12 yards of fabric to make 3 costumes for students in the chorus. How many yards will she need to make costume

KIM [24]

Answer:

100 yards of fabric

Step-by-step explanation:

12 divided by 3 = 4 yards of fabric per costume

4 x 25 = 100 yards of fabric

4 0

3 years ago

Please help

taurus [48]

Answer:

Slope = 2

Step-by-step explanation:

(1,3) and (3,7)

m = (7-3)/3-1)

= 4/2

= 2

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3 years ago

Who was part of the triumvirate after Caesar’s death? (3 people)

Anon25 [30]

Answer: Octavian (the future emperor Augustus), Mark Antony, and Lepidus. i hope this helped

Step-by-step explanation:

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3 years ago

Kenny is making sugar cookies for a school bake sale. He has 3 cups of sugar. The recipe calls for

GREYUIT [131]

Answer:

3 batches

Step-by-step explanation:

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