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3 years ago

A mountain climber climbed down a cliff 10 metres at a time. He did this 5 times in one

Mathematics

1 answer:

xeze [42]3 years ago

3 0

Answer:

-50 m

Step-by-step explanation:

its negative elevation because he is going down

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Use the formula v = u + at to find the velocity when the initial velocity is 3 m/s the acceleration is 1.5 m/s the time is 7 s

vichka [17]

<em> $answer \\ 13.5 \: m/s \\ given \\ initial \: velocity(u) = \: 3 \: m/s \\ acceleration(a) = 1.5 \: m/s ^2\\ time(t) = 7 \: second \\ now \\ v = u + at \\ or \: v = 3 + 1.5 \times 7 \\ \: or \: v = 3 + 10.5 \\ v = 13.5 \: m/s \\ hope \: it \: helps$ </em>

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3 years ago

Rewrite each of the following sentences using logical connectives. Assume that each symbol!, x₀, n, x, B represents some fixed o

katrin [286]

Answer:

a) $(f\ has\ a\ relative \ minimum \ at\ x_{0} )$ ∧ $(f\ is\ differenciable\ at\ x_{0} )$ ⇒ $f^{'} (x_{0} )=0$ .

b) $(n\ is\ prime)$ ⇒ $(n=2)$ ∨ $(n\ is \ odd)$ .

c) $R\ is \ irreflexive\$ ⇒ $(R\ is\ symmetric)$ ∧ $(R\ is\ transitive)$ .

d) $detB=0$ ⇒ $(B \ is\ square)$ ∧ $(B\ is\ not\ invertible)$ .

e) $f\ has\ a\ critical\ point\ at \ x_{0}$ ⇔ $(f^{'}(x_{0})=0)$ ∨ $() \ f^{'}(x_{0}) \ does\ not\ exist$ .

f) $2n$ ∨ $n>4$ ⇒ $2$ .

g) $6\geq n-3$ ⇔ $n>4$ ∨ $n>10$ .

h) $x \ is \ cauchy$ ⇒ $x\ is\ convergent$ .

i) $\lim_{x \to \ x_{0}} f(x)=f(x_{0})$ ⇒ $f\ is\ continous\ at \ x_{0}$ .

j) $(f\ is\ diferenciable\ at\ x_{0})$ ∧ $(f\ is\ increasing\ at\ x_{0})$ ⇒ $f^{'}(x_{0})>0$ .

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4 years ago

What is the sum of the measures of the measures of the exterior angles of this triangle?

mylen [45]

Answer:

The sum of the exterior angles is 360 degrees.

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3 years ago

Find the lengths of g, h, and j. Round answers to the nearest tenth. (marking brainliest for correct)

Bezzdna [24]

Answer:

j=13, g=20.8, h=24

Step-by-step explanation:

The overall shape given and the shape within, are both right triangles. With right triangles, you are allowed to use the pythagorean theorem formula ( $a^{2} + b^{2} = c^{2}$ ) in order to solve for some sides. In this case, that would be j and h. The five in the smaller triangle is represented by b and the 12 is the hypotenuse so it is represented by c. When you plug in those numbers in the pythagorean theorem formula, you will find the value of j to be 13. When looking at this, we see that 12 is the second greatest value in the right triangle values that we just found, so we know the the opposing angle for that one will be 60 degrees. The 5's opposing side is therefore 30 degrees. When subtracting 90 and 30, we get 60, so therefore you can use the 30 60 90 formula to find the sides of the bigger triangle. The 60 degrees represents g. This formula will be $a\sqrt{3}$ . The a is 12 since it is the smallest value. So therefore, g is $12\sqrt{3}$ , which is 20.8. Now that we have this side, we can just use the pythagorean theorem formula to find the remaining side. Therefore, h is going to be 24