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klemol [59]
3 years ago
6

Mr. Richards garden is shaped like a rectangle. The length of garden is 10 meters more than twice the width. What expression rep

resents the length in meters of a fence needed to fully surround garden​
Mathematics
1 answer:
igomit [66]3 years ago
8 0

Answer:

The expression for length of fence in meters is: 6w+20 meters

Step-by-step explanation:

Let l be the length and w be the width of the given garden

Then according to given statements

l = 2w+10     Eqn 1

As we have to find the length of fence to fully surround garden that means the perimeter has to be found.

The formula for perimeter is given by:

P = 2(length+width)

Putting the values

P = 2(2w+10+w)\\P = 2(3w+10)\\P = 6w+20

Hence,

The expression for length of fence in meters is: 6w+20 meters

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What is the sum of the first 51 terms of the sequence?<br><br> −282,−266,−250,−234,...
Pavel [41]

Answer:

The sum of the first 51 terms of the sequence is 6018

Step-by-step explanation:

AP: −282,−266,−250,−234,...

First term = a = -282

Common difference = d = a_2-a_1=a_3-a_2

Common difference = d = -266-(-282)=-250-(-266)=16

Formula of sum of first n terms =S_n=\frac{n}{2}(2a+(n-1)d)

Substitute n = 51

So,S_{51}=\frac{51}{2}(2(-282)+(51-1)(16))

S_{51}=6018

Hence the sum of the first 51 terms of the sequence is 6018

8 0
3 years ago
Find the standard deviation of the distribution in the following situations. (Round your answers to two decimal places.) (a) MEN
Arturiano [62]

Answer:

a) 15.579

b) 39.019

Step-by-step explanation:

a) For the top 2% the z-value from the z table

z = 2.054

thus,

z = \frac{\textup{X-Mean}}{\sigma}

here

X = 132

Mean = 100

thus,

2.054 = \frac{\textup{132-100}}{\sigma}

or

σ = 15.579

b) Using tables, we get for Z = 0.89 the value of 0.8133 and for Z= 0.90 the value of 0.8159

By interpolation, values for 0.815 and we get Z=0.897

thus,

z = \frac{\textup{X-Mean}}{\sigma}

here

X = 220

Mean = 185

thus,

0.897 = \frac{\textup{220-185}}{\sigma}

or

σ = 39.019

6 0
3 years ago
What are the roots of this quadratic equation? 3x^2+10=4x
____ [38]

Step-by-step explanation:

The root of an equation is when x=0.

We need to rewrite this as 3x²-4x+10=0.

The quadratic formula is

(-b+or-sqrt(b²-4ac))/2a

so 4+or-sqrt(16-120)/2a

since the sqrt can no be negative this answer will have imaginary numbers.

(4+2i sqrt(26))6 and (4-2i sqrt(26))6

simplified is

x=(2+i sqrt(26))/3 and x=(2-i sqrt(26))/3

6 0
3 years ago
Robin had picked 7 bags of oranges. How many glasses of orange juice could she make if each glass took one-seventh of a bag?
HACTEHA [7]

Answer:

7 Glasses

Step-by-step explanation:

One glass of orange juice needs 1/7 of a bag, she brought 7 bags which all adds up to a full 7 glasses

6 0
3 years ago
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NEED ANSWER QUICK PLSSSS​
Gelneren [198K]

Answer:

CCC

Step-by-step explanation:

C

7 0
3 years ago
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