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3 years ago

6 ft. 12 ft. 8 ft. The area of this irregular figure is -sq. ft. 16 ft.

Mathematics

1 answer:

nikdorinn [45]3 years ago

3 0

Answer:

When we know all 3 sides, we use Heron's Formula

area = sqrt [s *(s-a) * (s-b) * (s-c)]

where "s" is the semi-perimeter which in this case equals

s = (6 + 8 + 12) / 2 = 13

area = sqrt [13 * 5 * 7 * 1]

area = sqrt 455

area = 21.3307290077

area = 21.33 square feet (rounded)

Step-by-step explanation:

You might be interested in

an airplane has flown 260 miles out of a total trip of 500 miles. What fraction in simplest form of the trip has been completed

solmaris [256]

260/500 = .52
.52 = 13/25
.52 = 52%

4 0

3 years ago

I have 47 nickels and dimes worth $4.20. How many of each type of coin do I have?

soldi70 [24.7K]

Answer:

37 dimes and 10 nickels

Step-by-step explanation:

let d = # dimes

let n = # nickels

we can set up a system of equations:

n + d = 47

.05n + .10d = 4.2

if we solve the first equation for 'n' we get:

n = 47-d

now we can substitute this in for 'n' in the second equation:

.05(47-d) + .10d = 4.2

2.35 - .05d + .10d = 4.2

2.35 + .05d = 4.2

subtract 2.35 from each side to get:

.05d = 1.85

d = 1.85÷.05

d = 37

if d+n = 47 and d=37 then n = 10

Check:

.05(10) + .1(37) should equal 4.2

.50 + 3.7 = 4.2 [It Checks Out]

6 0

2 years ago

Consider rolling two fair dice and observing the number of spots on the resulting upward face of each one. Letting A be the even

Allushta [10]

Answer:

$P(E|A)= \frac{10}{11}$

Step-by-step explanation:

Given

Two rolls of die

$E \to$ one of the outcomes is 6

$A \to$ atleast one is 6

Required

P(E|A)

First, list out the outcome of each

$E = \{(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5)\}$

$A = \{(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)\}$

So:

$P(E|A)= \frac{n(E\ n\ A)}{n(A)}$

Where:

$E\ n\ A = \{(1,6),(2,6),(3,6),(4,6),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5)\}$

$n(E\ n\ A) = 10$

$n(A) = 11$

So:

$P(E|A)= \frac{10}{11}$

7 0

2 years ago

What is the axis of symmetry for f(x) = -3x2 + 18 - 7

solong [7]

The vertex form:

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

The axis of symetry is x = h.

$y=ax^2+bx+c\to h=\dfrac{-b}{2a}$

We have

$f(x)=-3x^2+18x-7\to a=-3,\ b=18,\ c=-7$

Substitute:

$h=\dfrac{-18}{(2)(-3)}=\dfrac{-18}{-6}=3$

<h3>Answer: x = 3</h3>

6 0

3 years ago

Pirate Kenny washes his trousers every five months. He washes his hat every seven months. He washes both his trousers and his ha

Ipatiy [6.2K]

Answer:

If you're going by washes, <u>6 washes </u>

Step-by-step explanation:

h: 7, 2, 9, 4, 11, 6, 1, 8

t : 5,10,3,8,1,6

6 0

3 years ago