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Jet001 [13]
3 years ago
6

Could a triangle be constructed with side lengths 4 cm, 5 cm and 13 cm? *​

Mathematics
1 answer:
Ratling [72]3 years ago
7 0

Answer:

NO.

Step-by-step explanation:

No because 13 > 4 + 5.

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5. Rory is playing a video game where each game lasts 13⁄4 hours. He wants to play for 9 hours today and this evening. How many
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He can play two games. 13/4=3.25
3.25*2=6.5
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3 years ago
The route for one day of a charity bike ride covers 50 miles. Individual participants ride this distance at different average sp
nlexa [21]
How many cubic feet are in a carton measuring 6 feet, 8 inches by 3 yards by 4.5 inches?
7 0
3 years ago
The sum of two terms of gp is 6 and that of first four terms is 15/2.Find the sum of first six terms.​
Gnoma [55]

Given:

The sum of two terms of GP is 6 and that of first four terms is \dfrac{15}{2}.

To find:

The sum of first six terms.​

Solution:

We have,

S_2=6

S_4=\dfrac{15}{2}

Sum of first n terms of a GP is

S_n=\dfrac{a(1-r^n)}{1-r}              ...(i)

Putting n=2, we get

S_2=\dfrac{a(1-r^2)}{1-r}

6=\dfrac{a(1-r)(1+r)}{1-r}

6=a(1+r)                    ...(ii)

Putting n=4, we get

S_4=\dfrac{a(1-r^4)}{1-r}

\dfrac{15}{2}=\dfrac{a(1-r^2)(1+r^2)}{1-r}

\dfrac{15}{2}=\dfrac{a(1+r)(1-r)(1+r^2)}{1-r}

\dfrac{15}{2}=6(1+r^2)            (Using (ii))

Divide both sides by 6.

\dfrac{15}{12}=(1+r^2)

\dfrac{5}{4}-1=r^2

\dfrac{5-4}{4}=r^2

\dfrac{1}{4}=r^2

Taking square root on both sides, we get

\pm \sqrt{\dfrac{1}{4}}=r

\pm \dfrac{1}{2}=r

\pm 0.5=r

Case 1: If r is positive, then using (ii) we get

6=a(1+0.5)  

6=a(1.5)  

\dfrac{6}{1.5}=a  

4=a

The sum of first 6 terms is

S_6=\dfrac{4(1-(0.5)^6)}{(1-0.5)}

S_6=\dfrac{4(1-0.015625)}{0.5}

S_6=8(0.984375)

S_6=7.875

Case 2: If r is negative, then using (ii) we get

6=a(1-0.5)  

6=a(0.5)  

\dfrac{6}{0.5}=a  

12=a  

The sum of first 6 terms is

S_6=\dfrac{12(1-(-0.5)^6)}{(1+0.5)}

S_6=\dfrac{12(1-0.015625)}{1.5}

S_6=8(0.984375)

S_6=7.875

Therefore, the sum of the first six terms is 7.875.

5 0
3 years ago
The function f is defined by f(x)=x²-7. What is the value of f(3) ? A -16 B -2 C 2 D 16​
xz_007 [3.2K]

Answer:

Option C is the answer

3 0
3 years ago
Read 2 more answers
PLEASE HELP I NEED TO PASS <br> “Find g(6) when g(x)=2x-16”
Annette [7]

Answer:

-4

Step-by-step explanation:

you just plug in. so, 2(6)-16

so, 2*6 is 12

12-16=-4

3 0
3 years ago
Read 2 more answers
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