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2 years ago

Find three consecutive even integers whose sum is 252

Mathematics

1 answer:

Naily [24]2 years ago

8 0

82, 84, and 86 are your three consecutive even integers.

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The components of vector are ax and ay (both positive), and the angle that it makes with respect to the positive x axis is θ. Fi

Andru [333]

we can use formula

$\theta=tan^{-1}(\frac{a_y}{a_x})$

(a)

we are given

$a_x=12,a_y=12$

now, we can plug values

$\theta=tan^{-1}(\frac{12}{12})$

$\theta=tan^{-1}(1)$

$\theta=\frac{\pi}{4}rad$

(b)

we are given

$a_x=20,a_y=12$

now, we can plug values

$\theta=tan^{-1}(\frac{12}{20})$

$\theta=tan^{-1}(\frac{3}{5})$

$\theta=30.96^{\circ \:}$

(c)

we are given

$a_x=12,a_y=20$

now, we can plug values

$\theta=tan^{-1}(\frac{20}{12})$

$\theta=tan^{-1}(\frac{5}{3})$

$\theta=59.03^{\circ \:}$

6 0

2 years ago

Can someone please help with this question pleaseee

Ulleksa [173]

Answer: Choice C) 10.5

The distance from A to C is 7 units (count out the spaces between the two points, or subtract y coordinates 4-(-3) = 4+3 = 7)

Let AC = 7 be the base of the triangle. You might want to rotate the image so that AC is laying horizontally rather than being vertical.

Now move to point P. Walk 3 spaces to the right until you land on segment AC. This shows that the height of the triangle is 3 when the base is AC = 7.

base = 7, height = 3

area of triangle = (1/2)*base*height

area of triangle = 0.5*7*3

area of triangle = 10.5 square units

7 0

2 years ago

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An office building has 23 offices. The floor area of each office is 305 square feet. Which shows the equation you can use to fin

Mumz [18]

Answer: D.23 x 305 = n, n = 7015

Step-by-step explanation:

23 x 305 = 7015

7015 square feet

3 0

3 years ago

Ian earns £420 a week after a 5% rise. <br> What was his pay before?

belka [17]

It turns out that 5% of 400 is 20.

(1/20)*400=20.

So Ian was being paid £400 a week before he was given a pay rise.

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2 years ago

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What is the answer to 5x=37-5/7

loris [4]

X = (37 - 5/7)/5 = 7.26

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3 years ago

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