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3 years ago

What is the smallest whole number larger than the perimeter of any triangle with a side of length 5 and a side of length 19?

Mathematics

1 answer:

vivado [14]3 years ago

4 0

Answer:

Step-by-step explanation:

The maximum third side length of a triangle with two sides 5 and 19 is 5+19-1=23. Therefore, the maximum perimeter of a triangle with the two side lengths given is 5+19+23=47.

The smallest whole number larger than this is 48.

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Find the sum of the prime numbers that are between 12 and 42.

Zielflug [23.3K]

Answer:

Step-by-step explanation:

list of prime #s between 12 and 42:

13, 17, 19, 23, 29, 31, 37, 41

now add them up:

13+17+19+23+29+31+37+41

30+60+60+60

90+120

210

3 0

3 years ago

Read 2 more answers

Find the unit tangent vector T(t) to the curve r(t) = [sin(t), 1 + t, cos(t)] when t = 0.

ss7ja [257]

Compute the derivative of $\mathbf r(t)$ at $t=0$ - this will be the tangent vector - then normalize it by dividing it by its magnitude to get the unit tangent vector $\mathbf T(t)$ .

$\mathbf r(t) = \langle \sin(t), 1+t, \cos(t) \rangle \implies \dfrac{d\mathbf r}{dt} = \langle \cos(t), 1, -\sin(t) \rangle \implies \dfrac{d\mathbf r}{dt}(0) = \langle 1, 1, 0 \rangle$

$\|\langle1,1,0\rangle\| = \sqrt{1^2+1^2+0^2} = \sqrt2$

$\implies\mathbf T(0) = \dfrac{\langle1,1,0\rangle}{\sqrt2} = \boxed{\left\langle \dfrac1{\sqrt2}, \dfrac1{\sqrt2}, 0\right\rangle}$

7 0

2 years ago

Answer #5,6,7,8,9,10

MatroZZZ [7]

$5)\ -2\times\frac{3}{7}=-\frac{2\times3}{7}=-\frac{6}{7}\\\\6)\ -2\frac{2}{3}\times4\frac{1}{10}=-\frac{8}{3}\times\frac{41}{10}=-\frac{4}{3}\times\frac{41}{5}=-\frac{164}{15}=-10\frac{14}{15}\\\\7)\ -2\frac{1}{5}\times(-1\frac{3}{4})=-\frac{11}{5}\times(-\frac{7}{4})=\frac{77}{20}=3\frac{17}{20}\\\\8)\ -1\frac{1}{4}\times9=-\frac{5}{4}\times9=-\frac{45}{4}=-11\frac{1}{4}\\\\9)\ -1\frac{5}{7}\times(-2\frac{1}{2})=-\frac{12}{7}\times(-\frac{5}{2})=\frac{6}{7}\times\frac{5}{1}=\frac{30}{7}=4\frac{2}{7}$

$1)\ -2\frac{3}{8}\times2\frac{1}{2}=-\frac{19}{8}\times\frac{5}{2}=-\frac{95}{16}=-5\frac{15}{16}$

7 0

3 years ago

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Which of the following could be the number shown on the number line?

lorasvet [3.4K]

I think that may be a trick question because all the the numbers can be on the number line

4 0

3 years ago

A real dollar bill measures 2.61 inches by 6.14 inches. A play dollar bill measures 3.61 inches by 7.14 inches. Is the play mone

Lynna [10]

No, it isn't. 2.61/6.14 is approximately 0.425, but 3.61/7.14 is about 0.506. If they were similar, than the answers would have to be the same.

6 0

3 years ago