All categories

3 years ago

7,5,15,13,39,_,_ What’s the pattern?

Mathematics

2 answers:

Veseljchak [2.6K]3 years ago

6 0

The other ones will be 36, 108, 105, 315.

andrey2020 [161]3 years ago

3 0

Doing it for the bag

You might be interested in

A man finds that the angle of elevationof a building is 22º. After walking 20 m towards the building, he finds that the angle of

tensa zangetsu [6.8K]

Answer:

The height of the building is 21.38 m

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios.

The image attached shows the measures and angles provided in the problem. The first angle of elevation is y=22°, the man walks B=20 m and finds the new angle of elevation is x=33°.

It's required to find the height of the building H.

The tangent ratio relates the opposite side with the adjacent side of a given angle. Applying it to the larger triangle:

$\displaystyle \tan y=\frac{\text{opposite leg}}{\text{adjacent leg}}$

$\displaystyle \tan 22^\circ=\frac{H}{D+B}$

Multiplying by D+B:

$\tan 22^\circ(D+B)=H$

Dividing by tan 22°

$\displaystyle D+B=\frac{H}{\tan 22^\circ}$

Subtracting B:

$\displaystyle D=\frac{H}{\tan 22^\circ}-B\qquad\qquad[1]$

Applying to the smaller triangle:

$\displaystyle \tan 33^\circ=\frac{H}{D}$

Multiplying by D:

$\tan 33^\circ D=H$

Substituting from [1]:

$\displaystyle \tan 33^\circ \left(\frac{H}{\tan 22^\circ}-B\right)=H$

Substituting values:

$\displaystyle 0.6494 \left(\frac{H}{0.4040}-20\right)=H$

Operating:

$1.6074H-12.988=H$

$1.6074H-H=12.988$

$0.6074H=12.988$

$H = 12.988/0.6074$

H = 21.38 m

The height of the building is 21.38 m

3 0

3 years ago

HELPPPPP !!!!!!! Please answer correctly Will mark Brianliest !!!!!!!!!!

jarptica [38.1K]

The coordinates of B would be (-1, -3)

5 0

3 years ago

4. A local DVD rental machine rents

Mrrafil [7]

It takes 16 movie rentals for both options to be the same price

Solution:

Given that, A local DVD rental machine rents movies out to customers for $5.75 per movie.

A digital movie company allows you to rent movies for $3.25 but requires a membership fee of $40.

We have to find how many movie rentals will it take for both options to be the same price?

Now, let the number of movies rented be "n"

Then, according to the given information,

$\begin{array}{l}{5.75 \times n=3.25 \times n+40} \\\\ {5.75 n=3.25 n+40} \\\\ {5.75 n-3.25 n=40} \\\\ {2.50 n=40} \\\\ {n=\frac{40}{2.5}=16}\end{array}$

Hence, it takes 16 movies to be the same price for both options.

3 0

4 years ago

What is the equation of a line when it is translated vertically down 4 units?

Lisa [10]

Answer:

y= $x^{2}$ -4

7 0

3 years ago

Answers with work please.

Harlamova29_29 [7]

Answer:

7. Height = 21 in

8. Height = 13 cm or 130 mm

Step-by-step explanation:

½ × 5 × height = 52.5

height = 21 in

23 mm ÷ 10 = 2.3 cm

½ × 2.3 × height = 14.95

height = 13

4 0

3 years ago