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3 years ago

Can you please help with this math?>>

Mathematics

2 answers:

goblinko [34]3 years ago

6 0

x = 16 x sin(60) = 8sqrt(3)

answer is B.

lana66690 [7]3 years ago

6 0

16 is your hypotenuse, (2)
The top length is your (1)
The x is your (√3)

To find x, first find your side 1, by dividing the side "2" number by half
16/2 = 8

Than place the 8 with the √3

8√3 is your answer

hope this helps

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a person bought two watches for 2500, she sold one of them at 10% profit & the other one at 4% loss. what was her gain or lo

Zepler [3.9K]

Answer:

profit : RS 150 and profit % : 3%

Step-by-step explanation:

for profit 10% for loss 4%

s.p will be 2750. s.p will be 2400

Total s.p : 2750 +2400. total s.p : 5150

profit = s.p-c.p. profit%=?

=5150-5000. profit = p /c.p × 100

=150 = 150/5000×100

= 3%

8 0

3 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

3.625 x 10−4 Question 2 options: .3625 36,250 0.0003625

disa [49]

Answer:

0.0003625

:) Hope that helps :)

3 0

3 years ago

N the triangle below, what is the value of x?

Elenna [48]

Answer:

Step-by-step explanation:

can u help me

What is the volume of a square-based pyramid with a base length of 5 ft and a height of 24 ft?

Enter your answer in the box.

answer asap

ft³

5 0

3 years ago

The art teacher has 48 boxes of crayons.

xz_007 [3.2K]

Answer:

3072 Crayons

Step-by-step explanation:

Crayons = C

48C * 64C = 3072C

3072C = 3072 Crayons

8 0

3 years ago