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3 years ago

12

A superhero recently asked his nemesis how many cats she has. She answered with a riddle: "Five dash sixths of my cats plus tw

o."
How many cats does the nemesis have?

1 answer:

pochemuha3 years ago

3 0

1 1/6
I think
Or 2 5/6

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Use the distance formula to find The distance between the points (-1 ,3) and (2,6) write you answear as a square root, do not gi

olga nikolaevna [1]

Answer:

d = $3\sqrt{2}$

Step-by-step explanation:

The distance formula is d = $\sqrt{(x_{2}-x_{1})^{2}+(y_{2} -y_{1} )^{2} }$

Plug in the points.

d = $\sqrt{(2-(-1))^{2}+(6 -3 )^{2} }$

Solve

d = $\sqrt{18}$

Simplify by separating 18 into 9x2

d = $\sqrt{9(2)}$

Take the square root of 9 to finish simplifying

d = $3\sqrt{2}$

6 0

3 years ago

Write the ratio 10:18 as a fraction in simplest form.

Ira Lisetskai [31]

Answer:

5/9

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator. GCD of 10 and 18 is 2.

10 ÷ 218 ÷ 2.

Reduced fraction: 59. Therefore, 10/18 simplified to lowest terms is 5/9.

6 0

2 years ago

Change from rectangular to spherical coordinates. (let ≥ 0, 0 ≤ ≤ 2, and 0 ≤ ≤. ) (a) (5, 5 3 , 10 3 )

Nikolay [14]

The spherical coordinate that is converted from the given rectangular coordinate is (12.62, 46.67°, 35.3°).

Here, the given rectangular coordinate is (5, 5.3, 10.3).

Therefore, the value of 'x' is 5, the value of 'y' is 5.3 and the value of 'z' is 10.3.

We can convert the rectangular coordinate (x, y, z) into spherical coordinate (ρ, θ, Φ) by the below mentioned method.

We know, ρ² = (x²+y²+z²)

Therefore, ρ

= √(x²+y²+z²)

= √[(5)²+(5.3)²+(10.3)²]

= √(25+28.09+106.09)

= √(159.18)

= 12.62

Again, tan θ = (y/x)

Therefore, θ = tan⁻¹(y/x) = tan⁻¹(5.3/5) = tan⁻¹(1.06) = 46.67°

Similarly, cos Φ = (z/ρ)

Therefore, Φ = cos⁻¹(z/ρ) = cos⁻¹(10.3/12.62) = cos⁻¹(0.816) = 35.3°

Here, the spherical coordinate is (ρ, θ, Φ).

Therefore, the required spherical coordinate for the given rectangular coordinate is (12.62, 46.67°, 35.3°).

Learn more about the conversion of a rectangular coordinate to a spherical coordinate here: brainly.com/question/17185505

#SPJ4

8 0

1 year ago

tigry1 [53]

Just plug in the x-values into the given equation to find. For 9-19-19 whatever the number is correlated to how much the graph is being moved down or up and the x is your slope.

5 0

3 years ago

At 12 noon in anchorage Alaska Janice noticed that the temperature outside was 12

Alisiya [41]

I assume that you want to know the temperature at a certain timing.
Well, you know that at 12:00 pm, the temperature was 12 F and that it decreases by a steady rate of 2 F each hour.

This means that at 1:00 pm, the temperature was 12-2 = 10 F
At 2:00 pm, the temperature was 10-2 = 8 F
At 3:00 pm, it was 8-2 = 6 F
.......and so on

You can follow this sequence to the timing you are looking for.

7 0

3 years ago