What multiple of 7 is a factor of 7

Answers

Answer 1

Answer: The answer must be '7' . Because 7 is a multiple of '7' , 7 * 1 = 7 . And 7 is also a factor of '7' because 7 has only two factors 7 and 1.

Answer 2

Answer: It only has 2 factors and they are 7*1 just 7 and 1

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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.

Learn more about Trigonometric functions:

brainly.com/question/6904750

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.

Learn more about Trigonometric Ratios here:

brainly.com/question/29156330

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S squared - 16s - 57

Answers

s² - 16s - 57 = s² - 16s + 64 - 121 = s² - 2*1*8 + 8² - (11)² =
we use the formula a² - 2ab + b² = (a-b)²
(s - 8)² - (11)²
we use the formula a² - b² = (a+b)*(a-b)
(s - 8 )² - (11)²
a² - b²

[ (S - 8) - 11] * [ (S-8) + 11] = [S-19] * [S+3]

Can someone help me please

Answers

Area of rhombus = length x height = 6 x 4 = 24 units²

Answer: 24 units²

-2 divided by 1/4 please show your work

Answers

-2 / 1/4
If you are dividing you have to switch 1/4 to 4/1

-2/1 / 4/1
= -8
Hope this helped

The volume V of a rectangular prism with length l, width w, and height h is v equals l times w times h. What is the width of a rectangular prism with volume 450 cubic inches, length 20 inches, and height 7.5 inches?

Answers

Answer:

The answer is 3 inch

Step-by-step explanation:

To start off, the equation you want to use the formula V=whl

Next, you simply plug in the values you already know, so you have 450=w*20*7.5

After you do that you multiply 20 times 7.5 to get which is 150, which leaves you with 450= w *150 to solve for w, you need to isolate it. To do that you divide 450 by 150. You are left with the answer of 3.

450=w•20•7.5
^
450= w150
——- ———
150. 150

3=w

Which of the following is the solution to 9|x+4|>54 ?

Answers

Answer:

x < -10, x > 2

Step-by-step explanation:

9|x+4| > 54

|x+4| > 6

Split the absolute value into two equation, positive and negative.

1.)POSITIVE

x+4 > 6

x > 2

2.)NEGATIVE

-(x+4) > 6

-x - 4 > 6

-x > 10

x < -10

Answer:

$\large\boxed{x<-10\ \vee\ x>2\to x\in(-\infty,\ -10)\ \cup\ (2,\ \infty)}$

Step-by-step explanation:

$9|x+4|>54\qquad\text{divide both sides by 9}\n\n(9|x+4|)/(9)>(54)/(9)\n\n|x+4|>6\iff x+4>6\ \vee\ x+4<-6\n\nx+4>6\qquad\text{subtract 4 from both sides}\n\nx+4-4>6-4\n\nx>2\n\nx+4<-6\qquad\text{subtract 4 from both sides}\n\nx+4-4<-6-4\n\nx<-10$

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