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algol13
4 years ago
14

darren places an 18 foot ladder so that it reaches 14 feet above the ground what is the distance between the wall and the base o

f the ladder
Mathematics
1 answer:
Vitek1552 [10]4 years ago
3 0
The base of the latter would be 4 feet away from the wall
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The first 5 terms of a sequence are shown below:
nirvana33 [79]

Step-by-step explanation:

To find the formula for the nth term ,

First , find the common difference or common ratio.

Common difference =

T_2-T_1 \\  - 2 - 3 \\  =  - 5

Common ratio =

T_2/T_1 \\  \frac{ - 2}{3}

The common difference applies to the other given numbers for example :

T_3- T_2  =  - 7 - ( - 2) \\  =  - 7 + 2 =  - 5

this proves that it is an arithmetic sequence and the given formula for the nth term of an arithmetic sequence is

T_n =a(n-1)d

Where n = no of terms

a= first term

d= common difference

6 0
3 years ago
PLEASE HELP IM STUCK
Sloan [31]

Answer:

If I'm not mistaken that is the answer

4 0
2 years ago
Solve the following quadratic equation. Express your answers in exact form.
wlad13 [49]

Answer:

x = (2+√10)/ 3 and x= (2-√10/3)

Step-by-step explanation:

g(x) = -3x² +4x +2

use the quadratic formula x= (-b±√b²-4ac)/2a, when g(x) = ax² +bx +c

x= [-4 ±√4²-4*(-3)*2] / 2*(-3) , solve under the square root

x= (-4 ± √16 +24) / -6 , add under the radical

x= (-4 ±√40) / -6, simplify the square root

x= (-4 ±2√10) /-6, factor -2

x= -2 (2±√10)/-2 *3, simplify -2

x= (2±√10)/3

Therefore,

x = (2+√10)/ 3 and x= (2-√10/3)

5 0
3 years ago
Qu. In a triangle ABC, side AB has length 10cm, side AC has length 5cm, and angle BAC = θ
Vinil7 [7]

Answer:

To find cosθ, use the formula for the area of a triangle i.e. AREA=1/2 x a x b x sinC.=> For this case: 15= 1/2 x 10 x 5 x sinC to find sinC.=> SinC = 3/5 thus, Arcsin(3/5)=+- 4/5 or +-0.8

To find the exact length of BC, use the cosine rule.=> c(sq)=a(sq)+b(sq)-2abCosC=> c(sq)=10(sq)+5(sq)-2(10)(5)(+-4/5)=> c(sq)= Square root of 205

6 0
3 years ago
How many times can 5 go into 1620
kaheart [24]
1620/ 5 is =324
To check just multiply
5 * 324
5 0
3 years ago
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