robert leaves his home to go to his office .he drives 6 km north and then 4km due east.approximatley what is the shortest distance from roberts home to his office,in kilometers

Answer:

6 inches is the base

Step-by-step explanation:

So you have to think back to what the formula to volume is. From there plug in numbers until you get your answer

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. The Balance after the fifth year from now is 3801.56.

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,

SI = PRT

where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.

The balance in the accounts can be calculated as,

Balance after the first year,

A = 600×(1.08) = 648

Balance after the second year,

A = (600+648)(1.08) = 1248(1.08) = 1347.84

Balance after the third year,

A = (1347.84+600)(1.08) = 1947.84 (1.08) = 2103.67

Balance after the fourth year,

A = (2103.67+600)(1.08) = 2703.67 (1.08) = 2919.96

Balance after the fifth year,

A = (2919.96+600)(1.08) = 3519.96 (1.08) = 3801.56

Hence, the Balance after the fifth year from now is 3801.56.

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Answer: 0.9772 (the answer above wasn't the right one;)

Using z-score formula, the probability that a male's head breadth is less than 6.2 inches, would be approximately 57.9261%.

When you have multiple samples and want to describe the standard deviation of those sample means (the standard error), you would use this z score formula:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

This z-score will tell you how many standard errors there are between the sample mean and the population mean.

We have been given that men have head breadths that are normally distributed with a mean of 6.0 inches and a standard deviation of 1.0 inches. We are asked to find the probability that a man's breadth is less than 6.2 inches.

First of all, we will find z-score corresponding to sample score of 6.2 as:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

where,

z = Z-score,

x = Sample score,

[tex]\mu[/tex] = Mean,

[tex]\sigma[/tex] = Standard deviation.

Upon substituting our given values in z-score formula, we will get:

[tex]z=\frac{6.2-6.0}{1.0}[/tex]

[tex]z=\frac{0.2}{1.0}[/tex]

z = 0.2

Now, we need to find the probability that a z-score is less than 0.2.

Using normal distribution table, we will get:

P(z < 0.2) = 0.57926

0.579261 ≈ 57.9261 %

Therefore, the probability that a male's head breadth is less than 6.2 inches, would be approximately 57.9261%.

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Answer:

The solutions are -15 and 15, but only 15 is a reasonable side length.

Step-by-step explanation:

Got it right on the test.

0.75 degrees centigrade is a positive temperature.

Integers come in three types:

Given:

Temperature= 0.75 Centigrade

Now, As, the temperature 0.75 lies between whole number 0 and 1.

also, 0.75 is greater than 0.

Any number greater than is a positive number.

Hence, 0.75 is Integer integer.

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The answer is C

for X=-3

Length of the segment AC is 14 feet

In mathematics, the trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

Given,

Length of the hypotenuse = 17 feet

Angle of C =35 degrees

We know that,

Cos θ = Adjacent side / Hypotenuse

cos 35 = [tex]\frac{x}{17}[/tex]

x= [tex]17(cos 35)[/tex]

x= 13.9 ≅ 14 feet

Hence, the length of the segment AC is 14 feet

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Sum of internal angles in a triangle is 180 degree.

∠A + ∠B + ∠C = 180°

Now we have three cases:

Case 1 : For right anlge triangle.

in this case one angle is 90°. and rest of two angle's sum is 90 degree

it means measure of rest two anles is less than 90 degree.

So, this type trianlge holds one right anlge and two acute angle.

Case 2: If one angle is Obtuse angle(more than 90°)

In this case , rest of two angle's sum is less than 90°

So, this type trianlge holds one obtuse anlge and two acute angle.

Case 3: All angles are acute

In this case all three anles are less than 90°

So, triangle has one obtuse angle, that means rest of two anlges must be less than 90°

Answer:1 3/7

Step-by-step explanation: A mathematical equation

Answer:

40

Step-by-step explanation:

Just did it on Time4Learning. Please give brainliest.

There are 12 ways Jackson can order his hot cocoa by choosing from three flavors, two mug sizes, and the option of adding marshmallows. Option D is correct,

To find the total number of ways Jackson can order his hot cocoa, we need to consider all the possible combinations of choices he has.

1. Flavor: Jackson has 3 options: milk chocolate, dark chocolate, or chocolate mint flavor.

2. Mug Size: Jackson has 2 options: small or large mug.

3. Marshmallows: Jackson has 2 options: with or without marshmallows.

To find the total number of combinations, we multiply the number of options for each choice:

[tex]\[ \text{Total combinations} = \text{Number of options for flavor} \times \text{Number of options for mug size} \times \text{Number of options for marshmallows} \]\[ \text{Total combinations} = 3 \times 2 \times 2 \]\[ \text{Total combinations} = 12 \][/tex]

So, there are 12 ways Jackson can order his hot cocoa. Therefore, the correct answer is option D) 12.

Answer:option C

Step-by-step explanation: edge

Titus had half a can of paint and used two-thirds of it, which means he used (1/2) * (2/3) = 2/6, which simplifies to 1/3 of a full can of paint.

The student is asking about how to calculate the fraction of a full can of paint Titus used given that he had half a can and used two-thirds of it. To find out what fraction of the full can he used, you need to perform a multiplication of the two fractions.

Here is the step-by-step calculation:

Therefore, Titus used 1/3 of a full can of paint.

Answer:

x=15

Step-by-step explanation:

To get the answer I thought, what times 2 equals 22 and i got 11. 15-4=11. so i figured x=15.

The correct answer is  [tex]\frac{9}{8}[/tex] is greater than 2 halves.

To compare 9/8ths and 2 halves, we need to convert them to equivalent fractions with the same denominator, and then compare their numerators.

[tex]\text{Step 1: Convert 2 halves to an equivalent fraction with the denominator of 8}[/tex]

[tex]2\text{ halves} = 2 \times \left(\frac{4}{8}\right) = \frac{8}{8}[/tex]

[tex]\text{Step 2: Compare the numerators of }\frac{9}{8}\text{ and }\frac{8}{8}[/tex]

[tex]\text{Since }9 > 8\text{, therefore, }\frac{9}{8} > \frac{8}{8}[/tex]

Therefore, [tex]\frac{9}{8}[/tex] is greater than 2 halves.