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2 years ago

4p - 10 = 6; 4,5,6 Determine the value of p.

Mathematics

2 answers:

fenix001 [56]2 years ago

4 0

Answer: p= 4

Step-by-step explanation: 4p - 10 = 6

4p-10=6

4p=16

p=4

kakasveta [241]2 years ago

3 0

Answer:

Step-by-step explanation:

4p - 10 =6

4p =6+10

4p =16

p=16:4

p=4

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To aid in sea navigation, Little Gull Island Lighthouse shines a light from a height of 91 feet above sea level with an unknown

algol13

Answer:

$\approx 6^\circ$

Step-by-step explanation:

Given that:

Little Gull Island Lighthouse shines a light from a height of 91 feet above the sea level.

The angle of depression is unknown.

Distance of the point at sea surface from the base of lighthouse is 865 ft.

This situation can be modeled or can be represented as the figure attached in the answer area.

The situation can be represented by a right angled $\triangle ABC$ in which we are given the base and the height of the triangle.

And we have to find the value of $\angle BAD \ or \ \angle C$ (Because they are the internal vertically opposite angles).

Using tangent ratio:

$tan\theta = \dfrac{Perpendicular}{Base}$

$tanC = \dfrac{AC}{BC}\\\Rightarrow tanC = \dfrac{91}{865}\\\Rightarrow tanC = 0.105\\\Rightarrow \angle C \approx 6^\circ$

Therefore, the angle of depression is: $\approx 6^\circ$

7 0

2 years ago

Robert has $50 to spend on his utility bills each month. The basic monthly charge is 23.77 electricity costs 0.1117 for each kil

Lilit [14]

Answer:

The maximum number of kilowatt-hours is 235

Step-by-step explanation:

Inequalities

Robert's monthly utility budget is represented by the inequality:

0.1116x + 23.77 < 50

Where x is the number of kilowatts of electricity used.

We are required to find the maximum number of kilowatts-hours used without going over the monthly budget. Solve the above inequality:

0.1116x + 23.77 < 50

Subtracting 23.77:

0.1116x < 50 - 23.77

0.1116x < 26.23

Dividing by 0.1116:

x < 26.23/0.1116

x < 235

The maximum number of kilowatt-hours is 235

7 0

1 year ago

In 2014, 85 percent of households in the United States had a computer. For a randomly selected sample of 200 households in 2014,

DochEvi [55]

Answer:

The mean of C is 170 households

The standard deviation of C, is approximately 5 households

Step-by-step explanation:

The given parameters are;

The percentage of households in the United States that had a computer in 2014 = 85%

The size of the randomly selected sample in 2014, n = 200

The random variable representing the number of households that had a computer = C

Therefore, we have;

The probability of a household having a computer P = 85/100 = 0.85

Let

Therefore;

The mean (expected) number in the sample, μₓ, = E(x) = n × P is given as follows;

μₓ = 200 × 0.85 = 170

The mean of C = μₓ = 170

The variance, σ² = n × P × (1 - P) = 200 × 0.85 × (1 - 0.85) = 25.5

Therefore;

The standard deviation, σ = √(σ²) = √(25.5) ≈ 5.05

The standard deviation of C, σ ≈ 5 households (we round (down) to the nearest whole number)

7 0

2 years ago

Read 2 more answers

Sheri’s cab fare was $32, with a 20% gratuity and no taxes. Sheri wrote a check to the cab driver for $40.

stira [4]

Yes, $40 is a reasonable amount to pay for the cab fare.

Explanation

Sheri’s cab fare was $32 and the percentage of gratuity is 20%

So, the amount of gratuity will be: $\$32* 20\% = \$32*0.20= \$6.40$

Thus, the fare of the cab including the gratuity will be: $\$32+\$6.40 = \$38.40$

As Sheri wrote a check to the cab driver for $40 , it means she paying ($40 - $38.40) or $1.60 more to the cab driver. So, the $40 check is a reasonable amount to pay for the cab fare.

5 0

2 years ago

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Choose which statements are true about Pi. Check all that apply. Piis a whole number. Piis double the radius. Piis approximately

Ludmilka [50]

Answer:

Answer in explanation

Step-by-step explanation:

In this question, we would be examining the validity of some statements on the number π(pi)

π Is a whole number?

This is wrong, π is a fraction of 22 to 7 parts I.e 22/7

π Is double the radius?

This is wrong. It is the diameter that is double the radius

π Is approximately 3.14?

This is correct to an extent. The actual value in decimal is around 3.142857142857143 which makes the 3.14 somehow correct

π represents the ratio of the circumference of the circle to the diameter?

This is correct.

Mathematically, circumference C = π * diameter D

Hence C/D = π

π Is approximately 22/7?

This is correct. This is the ratio used for π

7 0

2 years ago

Read 2 more answers