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3 years ago

A ball is such that when it is dropped from a height of 1 metre it bounces vertically from the ground

Mathematics

1 answer:

Phantasy [73]3 years ago

4 0

Search mathpapa.com I get almost all my answers there

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Fred's frog jumped 7 times as far as Al's frog. The two frogs jumped a total of 56 inches. How far did Fred's frog jump?

sergey [27]

8 inches

Divide 56 by 7 which equals 8 so Fred's frog jumped 8 inches.

5 0

3 years ago

Angle (theta) is in standard position. If (8,-15) is on the terminal ray of angle (theta), find the values of the trigonometric

mariarad [96]

Answer:

$\sin \theta =\frac{-15}{17}\\cos \theta =\frac{8}{17}\\\tan \theta =\frac{-15}{8}\\\csc \theta =\frac{-17}{15}\\\sec \theta =\frac{17}{8}\\\cot \theta =\frac{-8}{15}$

Step-by-step explanation:

Given: (8,-15) is on the terminal ray of angle

To find: All the trigonometric ratios

Solution:

Trigonometry is a branch of mathematics that explain relationship between the sides and angles of triangles.

If (x, y) lies on the terminal side of θ then $r=\sqrt{x^2+y^2}$

$r=\sqrt{(8)^2+(-15)^2}=\sqrt{64+225}=\sqrt{289}=17$ units

$\sin \theta =\frac{y}{r}=\frac{-15}{17}\\cos \theta =\frac{x}{r}=\frac{8}{17}\\\tan \theta =\frac{y}{x}=\frac{-15}{8}\\\csc \theta =\frac{1}{\sin \theta }=\frac{-17}{15}\\\sec \theta =\frac{1}{cos \theta}=\frac{17}{8}\\\cot \theta =\frac{1}{\tan \theta}=\frac{-8}{15}$

6 0

3 years ago

A whole pie is cut into 8 pieces and one slice is taken out, what's the fraction is left?

Mrrafil [7]

1 pie is cut into eighths or 1/8 a slice. 3 are taken out.

8/8-3/8=5/8 is left.

8 0

3 years ago

Read 2 more answers

If I multiply a number L by another number M, I get 452,199. If I multiply L by the successor of M, I get 454,322. Find L x L.

Genrish500 [490]

Step-by-step explanation:

L * M = 452,199

L * (M + 1) = 454,322

Therefore L * (M + 1) = L * M + L.

=> 454,322 = 452,199 + L, L = 2,123.

Hence L² = 2,123² = 4,507,129.

8 0

3 years ago

Can someone help me please

FinnZ [79.3K]

Answer:

1/9, 3, 27

(A / the first option listed)

Step-by-step explanation:

Here, we are given an expression with an "x" in it, and we are to evaluate possible x values, which means we plug them in as the x in the expression

first,

x = -2

3ˣ → 3⁻²

when we raise something to a negative power, we simply find the positive version of that power, and put a 1 over it:

3² = 3 · 3 = 9

so, 3⁻² = $\frac{1}{9}$ (1/9)

next,

x = 1

3ˣ → 3¹

now, here we have something raised to the power of 1, which is always itself, so 3¹ = 3

(think of ^to the power of as how many times we multiply that number, so 3² = 3 · 3, 3¹ = 3)

and finally,

x = 3

3ˣ → 3³

here, we can multiply 3 by itself 3 times:

3 · 3 · 3 = 27

so, 3³ = 27

[important note: when we raise something to a power, we are not multiplying the base number by that number, but this is a common mistake. but the exponent is how many times we are multiplying that number, which is confusing at first}

So, our answers in order are:

1/9, 3, 27 (the first option listed)

hope this helps! let me know if I should clarify anything :)

8 0

2 years ago