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Irina-Kira [14]
3 years ago
13

Find the length of the third side. If necessary, write in simplest radical form

Mathematics
1 answer:
katrin [286]3 years ago
3 0

HERE,

the \huge{\triangle}is a right angle traingle.

length of one side=\bold{ 1  } 

length of another side =\bold{\sqrt{3}  } 

so,

the length of third side=

  • \bold{\sqrt{(1)^{2} +({\sqrt{3}})^{2}}   } 

  • \bold{\sqrt{1+3}   } 

  • \bold{\sqrt{4}   } 

  • {\huge{\fcolorbox{aqua}{navy}{\fcolorbox{yellow}{blue}{\bf{\color{yellow}{2}}}}}}

\therefore,the length third side of the traingle is 2.

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5 If 15 cookies cost $8.50, how much would it cost for 25 cookies? Write a proportion and solve it below:​
AlladinOne [14]

Answer:

14.25

Step-by-step explanation:

8.5/15=0.57

1:0.57

0.57*25=14.25

6 0
2 years ago
Find the sum of the first 47 terms of the following series, to the nearest integer.
Leokris [45]

Answer:

The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ is 4,888

Step-by-step explanation:

The given series is;

12, 16, 20, ...,

Therefore, the first term of the series is, a = 12

The common difference of series is found as follows;

The difference between subsequent terms, 12 and 16 is  16 - 12 = 4

The difference between subsequent terms, 16, and 20 is  20 - 16 = 4

Therefore, the common difference, d = 4

The series is therefore an arithmetic projection, AP

The sum of the first 'n' terms of an AP, Sₙ, is given as follows;

S_n = \dfrac{n}{2} \cdot \left [2 \cdot a + (n - 1)\cdot d \right ]

(47/2)*(2*12+(47-1)*4)

The sum of the first 47 terms is therefore given as follows;

S_n = \dfrac{47}{2} \cdot \left [2 \times 12 + (47 - 1)\times 4 \right ] = 4,888

The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ = 4,888

5 0
2 years ago
I HAVE AN EXAM PLEASE HELP ME GET THE ANSWER
sesenic [268]
Answer: The ladder is 5.3 m long
Step by step solution
1. Draw out the scenario, ie a right triangle where the hypotenuse is the ladder, the wall is 4.5m and the angle the ladder and the ground makes 58 degree.

2. Soh, Cah, Toa
The wall is opposite, the ground is adjacent, and the ladder is hypotenuse
Sine (58) = 4.5/h

3. Solve for hypotenuse
h * sine (58) = 4.5
h = 4.5/sine (58)
h = ~ 5.3 m
3 0
3 years ago
I need help with this.
Sveta_85 [38]

Answer:

check online for more information

6 0
2 years ago
Helppppppppppp?????????????​
Nuetrik [128]

Answer: number one

Step-by-step explanation:

the x and y axis never completly cross

8 0
2 years ago
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