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3 years ago

How many numbers between 40 and 129 are equal to 6 times an integer

1 answer:

7 0

Here, the series would be: 42, 48 .... 126
an = a + (n - 1)d
126 = 42 + (n - 1)6
126 - 42 = 6n - 6
84 + 6 = 6n
n = 90/6
n = 15

In short, Your Answer would be 15

Hope this helps!

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Those 2 questions I need help with . find sec θ and tanθ

Zielflug [23.3K]

STEP - BY - STEP EXPLANATION

What to find?

The the value of secθ.

Given:

(4, 3)

⇒(x, y) = (4, 3)

Step 1

Draw a sketch.

Step 2

Substitute the values into the trig. ratio formula below.

$tan\theta=\frac{opposite}{adjacent}$

From the sketch above, opposite = 3 and adjacent = 4

$tan\theta=\frac{3}{4}$

Step 3

Find the value of the hypotenuse side using Pythagoras theorem.

let h be the hypotenuse side.

$\begin{gathered} h^2=4^2+3^2 \\ \\ =16+9 \\ \\ =25 \\ \\ h=5 \end{gathered}$

Hence, hypotenuse = 5

Step 4

Substitute the values into the formula below:

$\begin{gathered} cos\theta=\frac{adjacent}{hypotenuse} \\ \\ =\frac{4}{5} \end{gathered}$

But,

$sec\theta=\frac{1}{cos\theta}=\frac{1}{\frac{4}{5}}=\frac{5}{4}$

ANSWER

secθ= 5/4

tanθ=3/4

7 0

1 year ago

6. rule (x,y) ---> is the image similar to the original pre-image?

Artyom0805 [142]

Here, we want to check for the relationship between the image and its pre-image

The pre-image is (x,y)

The image is (3x,3y+5)

As we can see, the pre-image is not similar

This is because the transformation applied to the two values are not same

Thus, we have that;

No, the image is not similar to the pre-image as the translations applied to both coordinates are not same

The pre-image was transformed by dilating the x-coordinate of the pre-image by 3 units while the y-coordinate was transformed by dilating the y-coordinate of the pre-image by 3 and translating it upward by 5 units

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1 year ago

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Kazeer [188]

The answer is 4.

Hope this helps you!

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3 years ago

You borrow $2,000 for a period of 4 years you are charged simple interest at a rate of 3% how much will you repay at the end of

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At the end of 4 years you will pay a extra 240 dollars

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3 years ago

For which of the following equations is (-4, -3) not a solution?

olchik [2.2K]

-3x = 4y is the answer

Because:
-3 (-4) = 4 (-3)
-7 = -12

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3 years ago