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Komok [63]
3 years ago
15

The product of 15 and the sum of a number and 5 is 90.

Mathematics
1 answer:
finlep [7]3 years ago
6 0
Fifteen times six is ninty so if we add one in five we get fifteen times six which gives the product ninty

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Which of the following choices is the simple formula for the nth term of the following arithmetic sequence?
VladimirAG [237]
First, we start off with the nth term formula for an arithmetic sequence, which is 
a_{n} =a_{1}+(n-1)d

plug in the sequence numbers where they belong

a_{n}=5+(n-1)*(-4)

a_{n}=5+(-4n+4)
a_{n}=5-4n+4
a_{n}=-4n+9

And this is the final answer
-4n+9
4 0
3 years ago
Please help! acellus
ch4aika [34]

Answer:

The number that belongs <em>in</em> the green box is equal to 909.

General Formulas and Concepts:
<u>Algebra I</u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Trigonometry</u>

[<em>Right Triangles Only</em>] Pythagorean Theorem:
\displaystyle a^2 + b^2 = c^2

  • a is a leg
  • b is another leg
  • c is the hypotenuse

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify given variables</em>.

<em>a</em> = 30

<em>b</em> = 3

<em>c</em> = <em>x</em>

<em />

<u>Step 2: Find </u><u><em>x</em></u>

Let's solve for the <em>general</em> equation that allows us to find the hypotenuse:

  1. [Pythagorean Theorem] Square root both sides [Equality Property]:
    \displaystyle \begin{aligned}a^2 + b^2 = c^2 \rightarrow c = \sqrt{a^2 + b^2}\end{aligned}

Now that we have the <em>formula</em> to solve for the hypotenuse, let's figure out what <em>x</em> is equal to:

  1. [Equation] <em>Substitute</em> in variables:
    \displaystyle \begin{aligned}c & = \sqrt{a^2 + b^2} \\x & = \sqrt{30^2 + 3^2}\end{aligned}
  2. <em>Evaluate</em>:
    \displaystyle \begin{aligned}c & = \sqrt{a^2 + b^2} \\x & = \sqrt{30^2 + 3^2} \\& = \boxed{ \sqrt{909} } \\\end{aligned}

∴ the hypotenuse length <em>x</em> is equal to √909 and the number <em>under</em> the square root, our answer, is equal to 909.

___

Learn more about Trigonometry: brainly.com/question/27707750

___

Topic: Trigonometry

3 0
2 years ago
What’s the answer to number 19??
Igoryamba

The answer equals 6.

Since 3 3/4 equals 15/4, when you divide you have to switch the numbers in the  divisor and then you turn the equation into multiplication.

So then it will be 15/4 x 4/3.

15 x 4 = 60

4 x 3 = 12 so the answer is 60/12. But you have to simplify so half of 60/12 is 30/6 and then half of 30/6 is 15/3 then you have to pick the gcf of 3 and 15 which is 3.

15 divided by 3 equals 5.

3 divided by 3 equals 1 so 5/1 equals 5

Hope this helps! ;)

5 0
3 years ago
Find the gradient of the line l1 which has equation 4x-3y+5=0 .
Nikitich [7]

Answer:

The gradient is the same as the slope. To find the slope, let's convert this from standard form to slope-intercept form.

4x - 3y + 5 = 0

4x + 5 = 3y

4/3x + 5/3 = y therefore the answer is 4/3.

4 0
3 years ago
If m 24 is 53°, what is the m26?
hodyreva [135]

Answer:

m∠8 = 49°

Step-by-step explanation:

∠7 and ∠8 are same-side interior angles.

Remember, same-side interior angles are supplementary. This means that the sum of the angles is 180°.

Let's use the variable 'x' to represent the unknown measure of angle ∠8.

131 +x=180

131-131=0 (cancels itself out)

180-131=49

x=49

Therefore, the measure of ∠8 is 49°.

4 0
3 years ago
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