Number 17 how do i solve?

a rectangle box has length 12 inches, width 15 inches, and a height of 17 inches. Find the angle between the diagonal of the box

ANTONII [103]

Answer:

0.7246 radians

Step-by-step explanation:

According to the Question,

Given that, a rectangle box has length 12 inches, width 15 inches, and a height of 17 inches

The length of the base diagonal (d) can be found using the Pythagorean theorem on length and width:

d = √{ (12)² +(15)² } = √(144+225) = √369inches

The tangent of the angle is the ratio of the height of the box to this length

Tan∅ = 17/√369

Taking the $Tan^{-1}$ , we have

∅ = $Tan^{-1}$ (17/√369) ≈ 0.7246 radians

4 0

3 years ago

The product of a number w and 737

aivan3 [116]

Given that the number is w ...so the product of w and 737 would be w × 737...=>737w.... Hope it helps!!!

5 0

3 years ago

The minimum height for riding on the Super Screaming Spinner at the theme park is 52 inches. Which of the following expressions

Hoochie [10]

Answer:

$h\geq 52\ in$

Step-by-step explanation:

Let

h-------> the minimum height for riding on the Super Screaming Spinner at the theme park

we know that

the height may not be less than $52\ in$

so

$h\geq 52\ in$ -------> inequality that represent the situation

7 0

3 years ago

Read 2 more answers

6x + 2y - 8 = 12x +4y - 16.

Arlecino [84]

Answer:

3x + y = 4

step by step explanation

3 0

3 years ago

CD is perpendicular to AB and passes through point C5, 12).

Aleksandr-060686 [28]

Answer:

x intercept of CD = 17

Step-by-step explanation:

We are given a line AB with its end coordinates. and Another line segment CD which is perpendicular to AB. We have the coordinates of C , and we are asked to find the x intercept of line CD.

For that we need to find the equation of CD

we have coordinates of C , and hence if we have slope of CD we can find equation of CD

Slope of CD can be determine with the help of slope of AB as CD⊥ AB

So, the slope of CD $mCD = -\frac{1}{mAB}$

Hence we start from determining slope of AB

slope is given as

$m= \frac{y_2-y_1}{x_2-x_1}$

$m= \frac{14-(-3)}{7-(-10)}=\frac{17}{17}=1$

Hence $mAB=1$

There fore $mCD=-1$

(∵ Product of Slopes of two perpendicular lines is always -1)

Now we find the equation of CD with the help of slope -1 and coordinates of C(5,12)

$m=\frac{y-y_1}{x-x_1}$

$-1=\frac{y-12}{x-5}$

$-x+5=y-12$

$y=-x+17$

Hence we have our equation , now in order to find the x intercept we keep y = 0 in it and solve for x

$0=-x+17$

$x=17$

Hence the x intercept is 17

8 0

3 years ago