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3 years ago

A triangle has side lenghts 10cm, 24cm, and 34cm. is the triangle acute, obtuse, or right?

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

4 0

Imposible triangle, lagest side must be > sum other sides.

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Help me asap! I will give you marks

Law Incorporation [45]

Recall the binomial theorem.

$(a+b)^n = \displaystyle \sum_{k=0}^n \binom nk a^{n-k} b^k$

1. The binomial expansion of $\left(1+\frac x3\right)^7$ is

$\left(1 + \dfrac x3\right)^7 = \displaystyle\sum_{k=0}^7 \binom 7k 1^{7-k} \left(\frac x3\right)^k = \sum_{k=0}^7 \binom 7k \frac{x^k}{3^k}$

Observe that

$k = 1 \implies \dbinom 71 \left(\dfrac x3\right)^1 = \dfrac73 x$

$k = 2 \implies \dbinom 72 \left(\dfrac x3\right)^2 = \dfrac73 x^2$

When we multiply these by $8-9x$ ,

• $8$ and $\frac73 x^2$ combine to make $\frac{56}3 x^2$

• $-9x$ and $\frac73 x$ combine to make $-\frac{63}3 x^2 = -21x^2$

and the sum of these terms is

$\dfrac{56}3 x^2 - 21x^2 = \boxed{-\dfrac73 x^2}$

2. The binomial expansion is

$\left(2a - \dfrac b2\right)^8 = \displaystyle \sum_{k=0}^8 \binom 8k (2a)^{8-k} \left(-\frac b2\right)^k = \sum_{k=0}^8 \binom 8k 2^{8-2k} a^{8-k} b^k$

We get the $a^6b^2$ term when $k=2$ :

$k=2 \implies \dbinom 82 2^{8-2\cdot2} a^{8-2} b^2 = 28 \cdot2^4 a^6 b^2 = \boxed{448} \, a^6b^2$

6 0

1 year ago

The student population at a middle school in June, 2020 was 1678. In September, 2021, the student population was 1463. What is t

HACTEHA [7]

Answer: -12.81% decrease

Step-by-step explanation:

1678-1463/1463 * 100 = -12.8128

6 0

2 years ago

Working together, Shawn and Hector can install a tile floor in 6 hours. It would take Shawn 9 hours to do the job alone.

Yanka [14]

Hector could do it in 3 hours.
Your question doesn’t really make sense though.

3 0

3 years ago

Read 2 more answers

Find the area of the triangle...Somone please help me i suck at this

ladessa [460]

Answer:

19.135

Step-by-step explanation:

Triangle = 1/2 b h

1/2 x 8.9 x 4.3 = 19.135

8 0

2 years ago

Need the awnser for 8 and 9 please help

ch4aika [34]

Answer:

12-5xy and 5r-7

Step-by-step explanation:

8 0

2 years ago