2 years ago

PLEASE HELP!!!! CUMULATIVE EXAM!!!! 50 POINTS

Mathematics

1 answer:

timurjin [86]2 years ago

8 0

Answer:

Step-by-step explanation:

My guy just plug in the number for x it's not that hard

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Four pieces of rope unknown(but equal) length and 10 more feet of rope are attached together. The resulting rope is 30 feet long

attashe74 [19]

The 4 pieces of rope equals 5 feet each one

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3 years ago

A professional cyclist is training for the Tour de France. What was his average speed in kilometers per hour if he rode the 194

Lisa [10]

Start with the distance equation D=RT, then plug in numbers

194=R x 4.2, so all we have to do is divide 194 by 4.2.

Answer: 46.19 kph

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3 years ago

Find the first term and common ratio for the geometric sequence a2 =2.5,a4=62.5

fenix001 [56]

Answer:

a1 = 0.5; common ratio = 5

Step-by-step explanation:

Let the common ratio = r

a2 = 2.5

a3 = 2.5r

a4 = 2.5r * r = 2.5r^2

We are told a4 = 62.5, so

2.5r^2 = 62.5

Divide both sides by 2.5

r^2 = 25

r = 5

a2 = a1 * r

a1 = a2/r = 2.5/5 = 0.5

Answer: a1 = 0.5; common ratio = 5

6 0

3 years ago

How to find the volume of the cone

gavmur [86]

Answer:

The closest measurement to the volume of hat is 84.82 in.³.

Step-by-step explanation:

Given:

The dimensions of hat are height(h) 9 inches and diameter(d) 6 inches.

Now, to find the volume of cone:

Putting the formula $\frac{1}{3}\pi r^{2}h$ .

Radius(r) is not given, finding the radius:

Radius(r)=half of the diameter(d)

$r=\frac{d}{2}$

$r=\frac{6}{2}$

$r=3$ .

Then, $\frac{1}{3}\pi r^{2}h$

= $\frac{1}{3}\times\pi \times3^{2}\times9$

= $\frac{1}{3}\times3.14\times9\times9$ ( $\pi =3.14$ )

= $\frac{1}{3} \times254.34$

= $\frac{254.34}{3}$

= $84.78$ in.³

So, the volume is 84.78 in.³ .

Therefore, the closest measurement to the volume of hat is 84.82 in.³.

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2 years ago

Which two square roots are used to estimate the square root of 67

viva [34]

$\bf \boxed{\sqrt{64}}\rule[0.35em]{10em}{0.25pt}\sqrt{67}\rule[0.35em]{19em}{0.25pt}\boxed{\sqrt{81}}$

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3 years ago