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3 years ago

Will the following side lengths make a triangle? 7, 5, 4

1 answer:

8 0

Okay too answer this you have to take the two smallest numbers and add them, in this case the answer would be 5 + 4 = 9. The answer has to be greater than the last number, In this case, 7. So the answer is yes.

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Find the product.

4vir4ik [10]

Answer :

$6{y}^{4} {z}^{2} + 12 {y}^{3} {z}^{2}-3 {y}^{3} {z}+3 {y}^{2} {z}^{2}$

Step-by-step explanation :

To find the product of

$3 {y}^{2} z(2 {y}^{2} z + 4yz - y + z)$

First we expand the bracket ,

it implies that, we use the expression outside the bracket to multiply individual expressions inside the bracket.

Hence

$3 {y}^{2} z(2 {y}^{2} z + 4yz - y + z)$

$= 3 {y}^{2} z(2 {y}^{2} z) + 3 {y}^{2} z(4yz) - 3 {y}^{2} z(y )+3 {y}^{2} z( z)$

we now apply the law of indices

${a}^{m} \times {a}^{n} = {a}^{m+n}$

meaning, when you are multiplying two expressions with the same bases , repeat one of the bases and add the exponents.

Then, simplify to obtain

$= 6{y}^{4} {z}^{2} + 12 {y}^{3} {z}^{2}-3{y}^{3} {z}+3 {y}^{2} {z}^{2}$

3 0

3 years ago

A kitten was given to a child as a birthday present when she was two years old. The cat lived a good life, but eventually became

Katyanochek1 [597]

Answer: 14 years

Step-by-step explanation:

Let the cat's age when it died = x.

Therefore, the child's age is 2 + x because he/she got the cat when he/she was 2 years old.

We can set up an equation.

x + (2+x) = 30

2x + 2 = 30

2x = 28

Therefore, x = 14

4 0

2 years ago

Read 2 more answers

Water whose temperature is at 100∘C is left to cool in a room where the temperature is 60∘C. After 3 minutes, the water temperat

Tju [1.3M]

Answer:

21.68 minutes ≈ 21.7 minutes

Step-by-step explanation:

Given:

$T=60+40e^{kt}$

Initial temperature

T = 100°C

Final temperature = 60°C

Temperature after (t = 3 minutes) = 90°C

Now,

using the given equation

$T=60+40e^{kt}$

at T = 90°C and t = 3 minutes

$90=60+40e^{k(3)}$

$30=40e^{3k}$

$e^{3k}=\frac{3}{4}$

taking the natural log both sides, we get

3k = $\ln(\frac{3}{4})$

3k = -0.2876

k = -0.09589

Therefore,

substituting k in 1 for time at temperature, T = 65°C

$65=60+40e^{( -0.09589)t}$

$5=40e^{( -0.09589)t}$

$e^{( -0.09589)t}=\frac{5}{40}$

$e^{( -0.09589)t}=0.125$

taking the natural log both the sides, we get

( -0.09589)t = ln(0.125)

( -0.09589)t = -2.0794

t = 21.68 minutes ≈ 21.7 minutes

6 0

3 years ago

How to use the results of part (b) and appropriate computation formulas to compute the sample variances s2 and sample standard d

anygoal [31]

$s^2=\displaystyle\sum\frac{(x-\bar x)^2}{n-1}=\frac1{n-1}\sum(x^2-2x\bar x+{\bar x}^2)=\frac{\displaystyle\sum x^2-2\bar x\sum x+{\bar x}^2}{n-1}$

where $\bar x=22$ is the mean. Since

$\sum x^2=2568$
$\sum x=110$

you have variance

$s^2=\dfrac{2568-2(22)(110)+22^2}{5-1}=37$

and so the standard deiviation is

$s=\sqrt{37}\approx6.083$

7 0

3 years ago

If 20% of a length is 23cm ,whathat is the complete length

Gennadij [26K]

Step-by-step explanation:

20% of the length is 23 cm

100% of the length is 23×5 = 115 cm

6 0

3 years ago

Read 2 more answers