Midpoint anyone

Sunny_sXe [5.5K]

Step-by-step answer:

The first step in solving a problem of geometry and trigonometry is to draw a diagram, with all the given information in it. The attached image does just that.

Here, we have (horizontal) distance of building to the tower is 400'.

We see two right triangles, each with a leg of 400' (horizontal).

The vertical distances are denoted h1 and h2 for the angles of elevation 24 and 20 degrees respectively.

Using the definition of tangent, we have

h1= 400tan24=178.1

h2=400tan20=145.6

The height of the tower is therefore h1+h2=178.1+145.6=323.7 feet

4 0

3 years ago

Find the first four terms of the sequence given by the following an=57-4(n-1),n=1,2,3

Crazy boy [7]

Answer:

57, 53, 49, 45

Step-by-step explanation:

Substitute for the n for n=1,2,3,4 so the first term is 57-4(1-1) so =57-4(0) so

a(1) = 57-0 = 57 so that is the 1st term

2nd term 57-4(2-1) so =57-4(1) so a(2) = 57-4 = 53, etc.

4 0

2 years ago

A data set includes weights of garbage discarded in one week from 62 different households. The paired weights of paper and glass

lara [203]

Answer:

Because the absolute value of the test statistic is less than the positive critical value, there is not enough evidence to support the claim that there is a linear correlation between the weights of discarded paper and glass for a significance level of α = 0.05.

Step-by-step explanation:

The correlation matrix provided is:

Variables Paper Glass

Paper 1 0.1853

Glass 0.1853 1

Te hypothesis for the test is:

H₀: ρ = 0 vs. H₀: ρ ≠ 0

The test statistic is:

r = 0.1853 ≈ 0.185

As the alternate hypothesis does not specifies the direction of the test, the test is two tailed.

The critical value for the two-tailed test is:

$r_{\alpha/2, (n-2)}=r_{0.05/2, (62-2)}=r_{0.05/2, 60}=0.250$

The conclusion is:

Because the absolute value of the test statistic is less than the positive critical value, there is not enough evidence to support the claim that there is a linear correlation between the weights of discarded paper and glass for a significance level of α = 0.05.

6 0

3 years ago

I need help with this question ASAP ! ASAP!!!!!! PLEASE!

irina1246 [14]

Answer:

One Triangle = 2.09 in²

Two Triangles = 4.18 in²

Rectangle = 17.48 in²

Total area of whole trapezoid = 21.66 in²

Step-by-step explanation:

Since it was not clarified which region is shaded we will just find the area of each individual part of the shape.

Let's start with the triangles.

1. To find the area of a triangle, the formula is $\frac{1}{2} b*h$ . It is given that the base of one triangle is equal to 1.1 in and the height is equal to 3.8 in., so in the equation, it would look like:

$\frac{1}{2} * 1.1 * 3.8 = 2.09$ in²

2. So now that we know one triangle is equal to 2.09 in², we now know that the other triangle is equal to the same area. To find the total of the two triangles you need to multiply the area by 2:

$2.09 *2=4.18$ in²

Moving on to the rectangle...

1. To find the area of the rectangle we need to use the formula base times height or b x h. It is given that the height is 3.8 in while the length is 4.6 in. So in the equation it would look like:

$4.6 * 3.8 = 17.48$ in²

Now to find the total area of all shapes combined...

1. To do this, we just need to add up all the areas we found, so...

17.48 + 4.18 = 21.66 in²

3 0

2 years ago

A room is 3 3/4 m long and 4 2/3 m wide. What is the area of the room?

ziro4ka [17]

Answer:

17.5 m

Step-by-step explanation:

3.75 x 4.667 etc.

17.5

(I used a calculator)

4 0

2 years ago