2 more than 7 times Lynn age

Answers

Answer 1

Answer:

The expression according to the situation will be written as 2 + 7x.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

2 more than 7 times Lynn's age. Let 'x' be the age of Lynn. Then the expression is given as,

⇒ 2 + 7x

The expression according to the situation will be written as 2 + 7x.

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Answer 2

Answer: Lynn age: 7x+2. That's if you wanted an equation.

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A right triangle has side length 9,40, and 41 as shown below. Use these lengths t find cos Y, and tan Y, and sin Y.

Answers

Trigonometric functions are applicable to the right-angled triangles. The value of the Sin(Y), Cos(Y), and Tan(Y) are 0.976, 0.219 and 4.445.

What are Trigonometric functions?

$\rm Sin \theta=(Perpendicular)/(Hypotenuse)\n\n\nCos \theta=(Base)/(Hypotenuse)\n\n\nTan \theta=(Perpendicular)/(Base)$

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

Given to us

XY = 41

YZ = 9

XZ = 40

In ΔXYZ for ∠Y,

$\rm Sin \theta=(Perpendicular)/(Hypotenuse)\n\n\rm Sin (\angle Y)=(XZ)/(XY)\n\n\rm Sin (\angle Y)=(40)/(41)\n\n$

$\rm Cos \theta=(Base)/(Hypotenuse)\n\n Cos (\angle Y)=(ZY)/(XY)\n\n Cos (\angle Y)=(9)/(41)$

$\rm Tan \theta=(Perpendicular)/(Base)\n\nTan \theta=(XZ)/(ZY)\n\nTan \theta=(40)/(9)$

Hence, the value of the Sin(Y), Cos(Y), and Tan(Y) are 0.976, 0.219 and 4.445.

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Final answer:

The cos Y, sin Y, and tan Y of a right triangle with side lengths of 9, 40, and 41 can be calculated using trigonometric ratios. Cos Y equals 9/41, sin Y equals 40/41, and tan Y equals 40/9.

Explanation:

In a right-angled triangle, we use the concept of trigonometric ratios which involves sine (sin), cosine (cos) and tangent (tan). Here, the side length 9 would be considered the adjacent side (a), the side length 40 would be considered the opposite side (b), and the side length 41 would be the hypotenuse (c).

The trigonometric ratios can be determined as follows:

Cosine (cos) Y = adjacent/hypotenuse = 9/41
Sine (sin) Y = opposite/hypotenuse = 40/41
Tangent (tan) Y = opposite/adjacent = 40/9

This would be the solution to finding the cos Y, tan Y, and sin Y with respect to angle Y.

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1 1/2× 3/4 please answer

Answers

It is 3/2 • 3/4 because you have to make the mixed number an improper fraction. Theb you would solve 3/2 • 3/4 and get 9/8 and that simplified is 1 1/8

Multiply across and it will be 33/8

Now turn it into a mixed number that will be 4 1/8

Answer:4 1/8

Describe how to find the least common multiple of three number .

Answers

Take the three numbers, and list all of their prime factors. I'll use 3, 9, and 21 for an example to help.
3: 3
9: 3 x 3
21: 7 x 3
You take the times that a number occurs the most in any of the three numbers and multiply them together. 3 occurs the most in a single number twice, and 7 occurs the most in a number once.
So you'd multiply 3 x 3 x 7 to get 63.

Write the rule for the arithmetic sequence if a7=11 and d=3

Answers

Answer:

The general rule of the progression is an = 3n - 10

Step-by-step explanation:

Given

Type of progression: Arithmetic Progression

a7 = 11

d = 3

Required.

The rule

First, we write out the formula of an arithmetic progression.

This is as follows

an = a + (n - 1)d

The given data is when n = 7.

So, by substituting the values in the formula above, we have

a7 = a + (n - 1)d

11 = a + (7 - 1) * 3

11 = a + 6 * 3

11 = a + 18

Make a the subject of formula

a = 11 - 18

a = -7

Having gotten the value of a, the general rule is gotten by substituting the value of a and d in the formula.

In other words,

an = a + (n - 1)d becomes

an = -7 + (n - 1)3

Open bracket

an = -7 + 3n - 3

Collect like terms

an = -7 -3 + 3n

an = -10 + 3n

Rearrange

an = 3n - 10

Hence, the general rule of the progression is an = 3n - 10

on a scale drawing, the scale is inch = 1 foot. What are the dimensions on the scale drawing for a room that is 15 feet by 16 feet?

Answers

Answer:

15 inches by 16 inches

1 foot 3 inches by 1 foot four inches

The quotient of n and -0.5 is 13. What is the value of n? Question 2 options: -26 -6.5 6.5 26

Answers

Answer:

Step-by-step explanation:

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