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4 years ago

The diagram shows a field.140 m66 m102 mWork out the area of the field.

Mathematics

1 answer:

aalyn [17]4 years ago

3 0

Answer:

7986

Step-by-step explanation:

66x0.5x(140+102)=7986

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A 7-pack of board games costs $42.84. What is the unit price?<br> per game

eimsori [14]

Answer: $6.12 per game.

Explanation: $42.84 divided by 7 = $6.12.

Would appreciate brainliest!

6 0

3 years ago

Read 2 more answers

A certain test preparation course is designed to help students improve their scores on the GMAT exam. A mock exam is given at th

Bogdan [553]

Answer:

95% confidence interval for the average net change is between a lower limit of 11.709 and an upper limit of 30.921.

The critical value that should be used in constructing the confidence interval is 4.303.

Step-by-step explanation:

Confidence interval is given as mean +/- margin of error (E)

mean = (17+20+26)/3 = 63/3 = 21

sd = sqrt[((17-21)^2 + (20-21)^2 + (26-21)^2) ÷ 3] = sqrt(42÷3) = sqrt(14) = 3.74

n = 3

degree of freedom = n-1 = 3-1 = 2

confidence level (C) = 95% = 0.95

significance level = 1 - C = 1 - 0.95 = 0.05 = 5%

critical value (t) corresponding to 2 degrees of freedom and 5% significance level is 4.303.

The critical value is 4.303

E = t×sd/√n = 4.303×3.74/√3 = 9.291

Lower limit of mean = mean - E = 21 - 9.291 = 11.709

Upper limit of mean = mean + E = 21 + 9.291 = 30.291

95% confidence interval is (11.709, 30.391)

8 0

3 years ago

3 loq, 6) - 2 log (5x) = 2

Scrat [10]

Answer:

is this the answer im sorry i did not put steps i was in a hurry to go to the next class.

Step-by-step explanation:

y=10(log(5x)+1)/9lq(y,x)

l=0

4 0

3 years ago

Mark has, in his kitchen, the ingredients needed to prepare 78 different recipes with two ingredients

pochemuha

Answer:

13 ingredients

Step-by-step explanation:

The number of different recipes that can be made from 2 ingredients = 78

Since there are no two recipes that share the exact same two ingredients ;

The number of recipes in Mark's kitchen is:

nCk = 78

k = Number of ingredients per recipe = 2

n = total number of ingredients in kitchen

Total recipes made = 78

n! / (n-r)!r! = 78

n! / (n - 2)!2! = 78

n(n-1)(n-2)! / (n-2)! * 2 * 1 = 78

n(n - 1) / 2 = 78

n(n-1) = 156

n² - n = 156

n² - n - 156 = 0

Factorize :

n² - 13n + 12n - 156 = 0

n(n - 13) +12(n-13) = 0

(n-13) = 0 ; (n+12) = 0

n = 13 or n = - 12

n cannot be negative

Hence, n = 13

Number of ingredients is 13

3 0

3 years ago

What is the surface area of the cylinder with height 7 cm and radius 5 cm? Round

nalin [4]

Answer:

376.991 cm²

Step-by-step explanation:

$SA_{cylinder} = 2\pi r^{2} + 2\pi rh$

Surface Area = 2π(5²) + 2π(5)(7)

= 50π + 70π

= 120π

= 376.9911184... ≈ 376.991

<h2>Derive Surface Area of A Cylinder</h2>

If you take a look at a net of a cylinder, you can see it is composed of two circles(bases) and a rectangular strip with the length of the diameter of the circle

The formula for the area of a circle = πr², and since there are 2, it is 2πr²

The formula for circumference of a circle = 2πr, and since we are multiplying that by the height by the height of the cylinder, it is 2πrh

∴ 2πr² + 2πrh

5 0

3 years ago

The diagram shows a field.140 m66 m102 mWork out the area of the field.​

The diagram shows a field.140 m66 m102 mWork out the area of the field.