All categories

3 years ago

Benchmark estimate of 8.01

Mathematics

1 answer:

Nana76 [90]3 years ago

5 0

I think it would just be 8 or 8.00

You might be interested in

You deposit $500 into a savings account that earns 3.2% annual interest. How much is in the savings account after 10 years?

Brilliant_brown [7]

A = P(1 +r/n)^nt
P = 500
r = 3.2% = 0.032
n = 1
t = 10

A = 500(1 + 0.032)^10
A = $685.12

7 0

2 years ago

In the PQRS triangle PQ=QR, QR side extended to S Show that PQ+RS=QS. -S Q R

Vitek1552 [10]

Answer:

Step-by-step explanation:

from the picture:

QP = QR

and

QR = RS

PQ + RS = QS

6 0

3 years ago

What’s the equation of the line that passes through (2,3) and is parallel to the line 12x-5y=2

TiliK225 [7]

12x-5y=2

-5y=2-12x

y=-2/5+12/5x

should know the m=12/5

and (2,3) bring them to the line equation:

3=12/5x2+b

6/5+b=3

b=3-6/5

b=9/5

y=12/5x+9/5

Which means the answer is not in the choices.

3 0

3 years ago

Two vertical poles of lengths 11 ft and 14 ft stand 16 ft apart. A cable reaches from the top of one pole to some point on the g

Alex17521 [72]

We are given

total length of cable is 30 feet

and this cable is on hypotenuse sides of the triangles

so, we can draw triangle as

Let's assume those hypotenuse as 'a' and 'b'

so, we will have

$a+b=30$

now, we can find 'a' and 'b' from triangle

Smaller triangle:

$a=\sqrt{x^2+11^2}$

Larger triangle:

$b=\sqrt{(16-x)^2+14^2}$

we know that

$a+b=30$

so, we can plug this value

and we get

$\sqrt{x^2+11^2}+\sqrt{(16-x)^2+14^2} =30$

now, we can solve for x

$\left(\sqrt{x^2+11^2}\right)^2=\left(30-\sqrt{\left(16-x\right)^2+14^2}\right)^2$

$32x-1231=-60\sqrt{x^2-32x+452}$

$1024x^2-78784x+1515361=3600x^2-115200x+1627200$

now, we can use quadratic formula

we get

$x=\frac{-\sqrt{36416^2-1152389056}+36416}{5152},\:x=\frac{\sqrt{36416^2-1152389056}+36416}{5152}$

$x=4.510,x=9.627$

so,

The point should be located 4.510 feet , 9.627 feet from the smaller pole to use 30 feet cable............Answer

6 0

3 years ago

Does anyone knows question 35

amid [387]

Answer: -3≤x ≤3
I can do more if needed

5 0

3 years ago