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3 years ago

Is 5 and 45/9 a rational number

Mathematics

2 answers:

Inga [223]3 years ago

8 0

Answer:

Yes

Step-by-step explanation:

arsen [322]3 years ago

7 0

Answer:

Yes

Step-by-step explanation:

45/9 is simplified to 5. 5 + 5 = 10. 10 is a rational number

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What is the volume of a small cone if:

Amiraneli [1.4K]

Answer:

Volume of smaller cone =301.44

Step-by-step explanation:

First let angle of cone be $\alpha$ .

then $sin(\alpha )$ = 3/5 (For bigger triangle)

Same cone angle is for smaller one because they are similar.

$cos(\alpha )$ = 4/5

Now for smaller cone radius be R

3/5 =R/Slant height

Slant height =5/3R

Lateral surface area = $\frac{1}{2}R^{2}\beta$ [R = slant height]

Given lateral surface area =60 $\pi$ = $\frac{1}{2}(\frac{5R}{3} )^{2} \beta$ ...................................1

$2\pi R=\frac{5R}{3}\beta$ ................................................2

$\beta=\frac{6\pi }{5}$

Put angle beta in equation 1 and find the value of R

R =6 cm

Height = $\frac{4R}{3}$

Thus volume = $\frac{1}{3}\pi6^{2}*8$

=301.44

4 0

3 years ago

Jorge bought 6 large balloons for a party. This was 25% of all the balloons he bought. How many total balloons did Jorge buy sho

riadik2000 [5.3K]

Answer:

The answer would be 24 balloons in total.

Step-by-step explanation:

Jorge bought 6 large balloons, which was 25% of ALL the balloons he bought.

Meaning that since 6 is 25% of the number 24, he bought 24 balloons in total.

PROOF:

25% * 24 = 6

24 / 6 = 4

6 * 4 = 24

<h2>Mark me Brainliest Please.</h2>

8 0

2 years ago

A ramp is at an angle of elevation of 15°. The distance from the top of the ramp to the ground is 20 feet. What is the length of

Natasha_Volkova [10]

77.27 ft rounded to the nearest tenth is 77.3 ft

6 0

2 years ago

A marathon race participant walks at a rate of 2.5 miles per hour and runs at a rate of 5 miles per hour. The combined distance

valentinak56 [21]

Answer:

2.5x + 5y = 12.5

Step-by-step explanation:

3 0

2 years ago

P(A) = .6, P(B) = .3, P(Β | A) = .5

Reika [66]

Answer:

Step-by-step explanation:

$P(B|A)=\frac{A ~and~B}{P(A)} \\0.5=\frac{P(A and B)}{0.6} \\P(A~and~B)=0.5 \times 0.6=0.30$

8 0

2 years ago