All categories

3 years ago

Solve for x in the triangle

Mathematics

1 answer:

kykrilka [37]3 years ago

8 0

tan(angle) = opposite/adjacent

tan(37) = x/14

14*tan(37) = x

x = 14*tan(37)

x = 10.5497567

x = 10.5

Answer: 10.5

You might be interested in

In circle C, r = 32 units.<br> What is the area of circle C?

Gnoma [55]

Answer:

A = 1024π units², A ≈ 3216.99 units²

Step-by-step explanation:

The equation of the area of a circle is A = πr², where A = area and r = radius.

Given that, we can plug in r as 32 units: <em>A = π(32 un.)²</em>

Simplifying that gives us A = 1024π units², or A ≈ 3216.99 units²

7 0

3 years ago

For your birthday, you want to take a group of friends to an indoor trampoline

butalik [34]

Answer:

For Skyhigh : 40 friends

For Jump it up : 90 friends

Step-by-step explanation:

Given that :

Maximum spending = $250

SKY HIGH FEES :

Party set up fee = $50 ; Amount paid per person = $2

JUMP IT UP FEES :

Party set up fee = $70 ; Amount paid per person = $2

THEREFORE, the inequality statement to obtain the number of friends for eack trampoline center goes thus:

Party setup fee + Number of persons * fee per person ≤ maximum spending

SKY HIGH:

50 + 5x ≤ 250

5x ≤ 250 - 50

5x ≤ 200

x ≤ 200/5

x ≤ 40

Hence,

Skyhigh can accommodate 90 friends Given the conditions

JUMP IT UP:

70 + 2x ≤ 250

2x ≤ 250 - 70

2x ≤ 180

x ≤ 180/2

x ≤ 90

Jump it up can accommodate up to 90 friends Given the conditions.

4 0

3 years ago

Toby wants to find the volume of a solid toy soldier.

mr Goodwill [35]

Answer:

Toby wants to find the volume of a solid toy soldier.He fills a rectangular container 8 cm long, 6 cm wide,and 10 cm high with water to a depth of 4 cm. Toby totally submerges the toy soldier in the water. The height of the water with the submerged toy soldier is 6.6 cm. Which of the following is closest to the volume, in cubic centimeters, of the toy soldier?

A. 125 B. 156 C. 192 D. 208 E.317

The volume of the toy is 125 cubic cm ,option A is the closest answer.

Step-by-step explanation:

Given:

A rectangular container .

Length of the container =8 cm

Width of the container = 6 cm

Height of the container when water is filled = $(h_1)$ = 4 cm