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3 years ago

HELP GIVING BRAINIEST

Mathematics

1 answer:

iren [92.7K]3 years ago

3 0

Answer:

m<ACD = $50^{o}$

Step-by-step explanation:

From the question given, ΔACD is a right angled triangle. Then we can apply one of the properties of a triangle to it.

In the triangle ACD:

<ACD + <DAC + <ADC = 180 (sum of angles in a triangle)

<ACD + 40 + 90 = 180

<ACD + 130 = 180

<ACD = 180 - 130

<ACD = $50^{o}$

With the application of the property of the sum of interior angles of a triangle, the measure of <ACD is $50^{o}$ .

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SOCCER PRACTICE BEGAN AT 2:30 P.M 3:30 P.M THROUGH WHAT FRACTION OF A CIRCLE DID THE MINUTE HAND TURN HOW MANY DEGREES DID THE M

MrMuchimi

Answer:

1 /1 ; 360°

Step-by-step explanation:

Start time = 2:30 pm

Stop time = 3:30 pm

Minute hand makes a complete revolution per hour ;

This means that the minutes hand revolves round the whole circle in one hour, hence fraction of the circle covered by the minute hand between 2:30 pm - 3:30 pm is 1/1 = 1

The angle turned by the minutes hand :

1 complete revolution = 360°

A circle covers 360°

1 /1 fraction of a circle = 1/1 * 360° = 360°

Hence, angle turned by the minute hand = 360°

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3 years ago

Simplify the expression 5(2x+3y)

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Answer:

$5(2x + 3y) \\ = > 10x + 15y$

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3 years ago

A machine produces 3-inch nails. A sample of 10 nails is obtained and the lengths determined. After some calculation, the sample

gtnhenbr [62]

Answer:

The 90% confidence interval for the population mean length of nails produced by the machine.

(2.91562, 3.04438)

Step-by-step explanation:

Step:1

Given that the size of the sample 'n' = 10

Given that the mean of the sample (x⁻) = 2.98

Given that the standard deviation of the sample (s) = 0.09

Degrees of freedom = n-1 = 10 -1 = 9

t₀.₁₀ = 2.2621

Step:2

The 90% confidence interval for the population mean length of nails produced by the machine.

$(x^{-} - t_{9 , 0.10} \frac{S}{\sqrt{n} } , x^{-} + t_{9,0.10} \frac{S}{\sqrt{n} } )$

$(2.98 - 2.2621(\frac{0.09}{\sqrt{10} } , 2.98 + 2.262 \frac{0.09}{\sqrt{10} } )$

(2.98 - 0.06438 , 2.98 + 0.06438)

(2.91562 , 3.04438)

Final answer:-

The 90% confidence interval for the population mean length of nails produced by the machine.

(2.91562, 3.04438)

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3 years ago

Condition (0°≤A≤360°) sin5A+sin3A=cos2A-cos6A

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Answer:

sin5A+sin3A=cos2A-cos6A

2SIN((5A+3A)/2)COS ((5A-3A)/2)=2SIN((2A+6A)/2)SIN((2A-6A)/2)

$\frac{2 \sin(4a )cosa}{ - 2 \sin(4a) \sin(2a) } = 1$

$- \frac{ \cos(a) }{2 \sin(a) \cos(a ) } = 1$

-1/2sinA=1

-1/2=sinA

sinA=sin(180+30),sin(330)

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3 years ago

The average lifespan of individuals in a population was measured before and after the cure for a disease was discovered. The ave

Lady bird [3.3K]

Answer:

exponential

Step-by-step explanation:

Exponential is best suited here because life span gradually increases from b to a over the years continuously. Whenever there is a continuous steady increase, exponential function is more suitable.

Logrithamic function will not suit because rate of change of log is 1/x and if x population is very large this will be almost equal to 0 which is not correct.

But exponential say a^x rate of increase= a^x log a and when a is small this will represent a slow steady state of increase.

Step function will not suit as step functions are discontinuous at every integral value, but the population function is a continuous function.

Absolute value function is suitable only for functions symmetrical about a particular value of x or y

But here there is no symmetry but steady increase. Hence exponential is the best suitable graph.

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3 years ago

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