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1 year ago

NEED HELP ASAP WILL MARK BRAINLIEST!

Mathematics

1 answer:

viktelen [127]1 year ago

4 0

Answer:

log_{b} (5b) = 2.609

Given that:

log_{b} (3) = 1.099

log_{b} (5) = 1.609

Evaluating with that:

$\sf log_b (5b) = log_b\left(5\right)+log_b\left(b\right)$

$= \sf 1.609 + 1$

$= \sf 2.609$

Rule Used:

$\rm \log _a\left(xy\right)=\log _a\left(x\right)+\log _a\left(y\right)$

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Disregarding wind resistance the distance a body falls from rest varies directly as th squares of the time it falls if a skydive

Firdavs [7]

Answer:

The skydiver will fall 1600 ft in 10 seconds.

Step-by-step explanation:

<u>Distance a body falls from rest varies directly as the squares of the time it falls </u>

Let distance = s

time = t

Therefore , s = k $\times t^{2}$

Given, the body falls 64 ft in 2 seconds.

Substituting in above equation,

64 = k $\times (2)^{2}$

64 = k $\times (4)$

k = $\frac{64}{4}$

k = 16 ft/ $s^{2}$

We have to find how much he will fall in 10 seconds.

s = k $\times t^{2}$

s = $16 \times 10^{2}$

s = $16 \times 100$

s = 1600 ft

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2 years ago

Determine whether each point appears on the line with the given slope and y−intercept. Select Yes or No for each point.

-Dominant- [34]

Could you put a graph plz??

6 0

2 years ago

Read 2 more answers

In triangle NOP p equals 600 inches angle P equals 96° and angle N equals 64° what is the area of triangle NOP to the nearest 10

DochEvi [55]

9514 1404 393

Answer:

55,637.8 square inches

Step-by-step explanation:

We can find side n using the Law of Sines:

n/sin(N) = p/sin(P)

n = p(sin(N)/sin(P)) = 600·sin(64°)/sin(96°)

n ≈ 542.246913 . . . . inches

The angle O is ...

O = 180° -N -P = 180° -64° -96° = 20°

Then the area is ...

A = 1/2·np·sin(O)

A = (1/2)(542.246913 in)(600 in)·sin(20°) ≈ 55,637.81008 in²

The area of ∆NOP is about 55,637.8 in².

7 0

3 years ago

A trapezoid has 8.2 millimeters base and 5.2 millimeters base, as well as 10 millimeters height. What is the area?

Savatey [412]

Answer:

67 mm

Step-by-step explanation:

use area of a trap formula:

b1+b2 /2*h

b1=base

b2=base

h=height

in our case it was, 8.2+5.2/2*10

6 0

2 years ago

Please finish this equation and write the answer

olga55 [171]

Given:

The equation is:

$2540=\dfrac{22}{7}r^2(20)$

To find:

The solution for the given equation.

Solution:

We have,

$2540=\dfrac{22}{7}r^2(20)$

It can be written as:

$\dfrac{2540\times 7}{22\times 20}=r^2$

$\dfrac{17780}{440}=r^2$

$\dfrac{889}{22}=r^2$

Taking square root on both sides, we get

$\sqrt{\dfrac{889}{22}}=r$ [Radius cannot be negative]

$r=6.3568145$

$r\approx 6.36$

Therefore, the value of r is about 6.36 cm.

7 0

2 years ago