All categories

2 years ago

Heeeeeeeelpppppppppp

Mathematics

1 answer:

Mekhanik [1.2K]2 years ago

8 0

Answer:

14.83 feet

Step-by-step explanation:

$c^{2} =a^{2} +b^{2}$

a= $\sqrt{16^{2}-6^{2} }$

a=14.83 feet

You might be interested in

Divide Rs 8100 for three persons in the proportion of 2:3:4

Andru [333]

Step-by-step explanation:

Money = Rs 1800

Ratio = 2:3:4

1st Person = 2x

2nd Person = 3x

3rd Person = 4x

X = ?

2x + 3x + 4x = 1800

9x = 1800

X = 200

1st Person = 2x = 2×200 = Rs 400

2nd Person = 3x = 3×200 = Rs 600

3rd Person = 4x = 4×200 = Rs 800

7 0

2 years ago

The sum of first three terms of a finite geometric series is -7/10 and their product is -1/125. [Hint: Use a/r, a, and ar to rep

Alchen [17]

Ooh, fun

geometric sequences can be represented as
$a_n=a(r)^{n-1}$
so the first 3 terms are
$a_1=a$
$a_2=a(r)$
$a_2=a(r)^2$

the sum is -7/10
$\frac{-7}{10}=a+ar+ar^2$
and their product is -1/125
$\frac{-1}{125}=(a)(ar)(ar^2)=a^3r^3=(ar)^3$

from the 2nd equation we can take the cube root of both sides to get
$\frac{-1}{5}=ar$
note that a=ar/r and ar²=(ar)r
so now rewrite 1st equation as
$\frac{-7}{10}=\frac{ar}{r}+ar+(ar)r$
subsituting -1/5 for ar
$\frac{-7}{10}=\frac{\frac{-1}{5}}{r}+\frac{-1}{5}+(\frac{-1}{5})r$
which simplifies to
$\frac{-7}{10}=\frac{-1}{5r}+\frac{-1}{5}+\frac{-r}{5}$
multiply both sides by 10r
-7r=-2-2r-2r²
add (2r²+2r+2) to both sides
2r²-5r+2=0
solve using quadratic formula
for $ax^2+bx+c=0$
$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$
so
for 2r²-5r+2=0
a=2
b=-5
c=2

$r=\frac{-(-5) \pm \sqrt{(-5)^2-4(2)(2)}}{2(2)}$
$r=\frac{5 \pm \sqrt{25-16}}{4}$
$r=\frac{5 \pm \sqrt{9}}{4}$
$r=\frac{5 \pm 3}{4}$
so
$r=\frac{5+3}{4}=\frac{8}{4}=2$ or $r=\frac{5-3}{4}=\frac{2}{4}=\frac{1}{2}$

use them to solve for the value of a
$\frac{-1}{5}=ar$
$\frac{-1}{5r}=a$
try for r=2 and 1/2
$a=\frac{-1}{10}$ or $a=\frac{-2}{5}$

test each
for a=-1/10 and r=2
a+ar+ar²= $\frac{-1}{10}+\frac{-2}{10}+\frac{-4}{10}=\frac{-7}{10}$
it works

for a=-2/5 and r=1/2
a+ar+ar²= $\frac{-2}{5}+\frac{-1}{5}+\frac{-1}{10}=\frac{-7}{10}$
it works

both have the same terms but one is simplified

the 3 numbers are $\frac{-2}{5}$ , $\frac{-1}{5}$ , and $\frac{-1}{10}$

6 0

3 years ago

What are the factors of 3x2 + 10x + 8?

vivado [14]

Answer: (3x+2)(x+4)

Step-by-step explanation:Explanation:

3x2+10x−8

first multiply

with −8

and we get −24

then find two numbers that if we add or subtract we get

+10

and if we multiply we get

−24

and the numbers are

+12

and

−2

then we place those numbers as follow :-

3x2+12x−2x−8

then we group them

(3x2+12x)(−2x−8)

now take the common factor out.3x(x+4)−2(x+4)

then group the numbers outside of the brackets

(3x−2)(x+4)

3 0

2 years ago

What is the variables on both sides equations? 3x - 6 = 7x + 1

nlexa [21]

Answer:

3x-6=7x+1

=> 3x-7x = 6+1

=> (-4)x=7

=>x = 7/4 = 1.75

6 0

2 years ago

at the ice cream shop there are 14 shakes sold for every 6 malts. What is the ratio of malts to shakes'

ad-work [718]

The ratio would be 14:6
If you reduce it it would be 7:3

8 0

3 years ago

Read 2 more answers

Heeeeeeeelpppppppppp​

Heeeeeeeelpppppppppp