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Eva8 [605]
3 years ago
15

What is the value of x?

Mathematics
1 answer:
Nikitich [7]3 years ago
6 0

Answer:

x = 22 tan 31

x is approximately equal to 13.22

Step-by-step explanation:

We know from trigonometric functions that

tan A = opposite side/ adjacent side

tan 31 = x / 22

Multiply each side by 22

22 tan 31 = x

13.2189332

x is approximately equal to 13.22

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Stephen, Gavin and Jim share some sweets in the ratio 4:1:2. Stephen gets 30 more sweets than Jim. How many sweets are there alt
Kamila [148]

Answer:

105 sweets

Step-by-step explanation:

There are 4 + 1 + 2 = 7 parts in total

Stephen gets 4 parts (or 4x)

Jim gets gets 2 parts (or 2x)

Given,

Stephen gets 30 more than Jim, we can write:

Stephen = Jim + 30

or

4x = 2x + 30

We can solve for "x":

4x = 2x + 30\\4x-2x=30\\2x=30\\x=15

There are 7 parts of sweets altogether (or 7x), we know x so:

There are:

7 * 15 = <u>105 sweets</u> altogether

7 0
3 years ago
Use the Pythagorean theorem to find the missing side of the right triangle a=7.5, b=12.3 c=?
Schach [20]

Answer:

14.41

Step-by-step explanation:

Pythagorean Theorem: a² + b²  = c²

a=7.5 b=12.3 c=❒

7.5² + 12.3² = 56.25 + 151.29 = 207.54

√207.54 is approximately 14.41

Hope this helps,

Philip

Brainliest always appreciated! <3

5 0
4 years ago
Writing a recursive formula..
OLEGan [10]
a_1=\frac{24}{2^1}+4=16\\\\a_2=\frac{24}{2^2}+4=10\\\\a_3=\frac{24}{2^3}+4=7\\\\a_4=\frac{24}{2^4}+4=5.5\\\\a_5=\frac{24}{2^5}+4=4.75\\\\a_6=\frac{24}{2^6}+4=4.375\\\vdots\\a_n=\frac{24}{2^n}+4
5 0
3 years ago
Read 2 more answers
Amrita is 8 years elder to her brother Aman. If the ratio of their ages is 7 : 3, find their present ages?​
viktelen [127]

Answer:

Amrita = 14 years old

Aman = 6 years old

Step-by-step explanation:

Find out the difference of the units.

7 - 3 = 4

Amrita is 4 units/8 years older than Aman.

4 units = 8

1 unit = 8 ÷ 4 = 2

Amrita is 7 units and her brother is 3 units.

Amrita = 7 units x 2 = 14

Aman = 3 units x 2 = 6

6 0
3 years ago
Ellie read 30 pages of her social studies book in 1.5 hours at a constant rate. She then switched to reading a novel and read 15
Airida [17]

Social Studies rate, S = 30/ 1.5 = 20pages/hr

Novel rate, N = 150/2 = 75pages/hr

Novel rate as a % of Social Studies rate...

N/S × 100% = 75/20 × 100% = 375%

4 0
3 years ago
Read 2 more answers
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