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Answer:

D. 15 cm, 9 cm, 24 cm

Step-by-step explanation:

The three lengths that could be the lengths of the sides of a triangle, must satisfy the following condition;

---sum of any two smaller sides chosen must be equal to the third side.

Test option A : 6 cm + 11 cm = 17 cm  ( 17 cm ≠ 23 cm)

Test option B: 10 cm + 15 cm = 25 cm (25 cm ≠ 24 cm)

Test option C: 6 cm + 6 cm = 12 cm (12 cm ≠ 22 cm)

Test option D: 15 cm + 9 cm = 24 cm (24 cm = 24 cm) ---correct option.

Thus, the three lengths that could be the lengths of the sides of a triangle are 15 cm, 9 cm, and 24 cm

Step-by-step explanation:

1) supplementary

2) complementary

3) neither

4) neither

5) supplementary

6) complementary

7) supplementary

8) neither

9) complementary

The distance between point T (-5, 1) and point I (-1, 1) is 4 units.

To find the distance between two points, we can use the distance formula, which is derived from the Pythagorean theorem. The formula is:

Distance = √((x2 - x1)² + (y2 - y1)²)

Let's apply this formula to find the distance between point T (-5, 1) and point I (-1, 1):

x1 = -5, y1 = 1 (coordinates of point T)

x2 = -1, y2 = 1 (coordinates of point I)

Plugging these values into the formula, we have:

Distance = √((-1 - (-5))² + (1 - 1)²)

        = √(4² + 0²)

        = √(16 + 0)

        = √16

        = 4

Therefore, the distance between point T (-5, 1) and point I (-1, 1) is 4 units.

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Using a calculator, the trigonometric ratio of sin 98 is approximately 0.9848.

One of the trigonometric ratio we have in mathematics is the sine ratio. We can use calculator to find the sine of an angle without making use of tables. To do this on your calculator, enter the sine function followed by the degree of the angle you want to find its sine. You will get your answer.

Using a calculator, we can find the sine of 98 degrees as follows:

sin 98° ≈ 0.9848

Rounding this to four decimal places, we get:

sin 98° ≈ 0.9848

Therefore, sin 98° is approximately equal to 0.9848.

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Answer:

Thanks

Step-by-step explanation:

Thanks

Answer:

$2.948

Step-by-step explanation:

          :)

Answer:

0.2778

Step-by-step explanation:

Each sides in a fair die has a probability of = 1/6

The probability of getting the same number on both dice is 6 from 36 outcomes, that is;

= 6/36 = 1/6

the probability of get same number on both dice after one roll = 1/6

therefore = 1/6 x 1/6 = 1/36 = 0.2778

The total volume is the one in option C, 708 cubic centimeters.

We know that this prism can be divided into two prisms, and remember that the volume of a prism is equal to the product between its dimensions.

Then the volume of the first prism is:

V = 8cm*6cm*13cm = 624 cm³

And the volume of the second prism is:

v' = 3cm*4cm*7cm = 84 cm³

Adding that we will get:

total volume =  624 cm³+  84 cm³ = 708 cm³

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The required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them.

here,
Given that a point B (-4, -5) is reflected across the y-axis, the Coordinate of image B' is to be determined.

Since the coordinate is reflected across the y-axis,
The equation of trasformation is given as,
(x , y) ⇒ (-x , y)

So, the image of B,

B' = (-(-4), -5)

B' = (4, -5)

Thus, the required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.

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To find the distance above the ground at which the tack is, we need to calculate the vertical displacement of the front wheel when the tack was picked up.

First, let's determine the circumference of the front wheel. The circumference of a circle is given by the formula C = πd, where C is the circumference and d is the diameter. Given that the diameter is 26 inches, we can calculate the circumference:

C = π × 26

C ≈ 81.64 inches

This means that for every complete revolution of the wheel, Devon travels a distance of approximately 81.64 inches.

Next, we need to determine how many complete revolutions the front wheel made as Devon rolled another 100 feet (1200 inches). Since the circumference of the wheel is 81.64 inches, we can divide 1200 inches by 81.64 inches to find the number of revolutions:

1200 / 81.64 ≈ 14.68 revolutions

Now, we know that the tack was picked up after one full revolution. Therefore, out of the 14.68 revolutions, 13 complete revolutions have occurred. The tack is located at the point where the 14th revolution starts.

Since each revolution covers a distance equal to the circumference of the wheel, the vertical displacement of the tack is the height of the wheel, which is the radius of the wheel. The radius is half the diameter, so in this case, it is 26 / 2 = 13 inches.

Therefore, the tack is located 13 inches above the ground.

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Answer:

10%

Step-by-step explanation:

495-450=45

45x100/450=10

Answer:

Profit made by reselling = 495 - 450 = ₹45

So, percentage =

\( \frac{45}{450} \times 100 = 10\%\)

So, gain percentage is 10%

Answer:

area = 1/2 ×b×h

Step-by-step explanation:

so as per the question ,

b= 7 cm

h= 25 cm

henceforth, 1/2 × 7 ×25

= 3.5 ×25

= 87.5 cm^2

Answer:

In50=3.912023005

Step-by-step explanation:

press it on your calculator

With  the empirical rule, we can estimate that the number of farms in the sample whose land and building values per acre are between $1100 and $1500 is approximately 50 farms.

The empirical rule (also known as the 68-95-99.7 rule) states that for data sets with a bell-shaped distribution:

68% of the data falls within one standard deviation of the mean.

95% of the data falls within two standard deviations of the mean.

99.7% of the data falls within three standard deviations of the mean.

Using this rule, we can estimate the number of farms whose land and building values per acre are between $1100 and $1500 as follows:

The mean value of land and buildings per acre from the sample of farms is $1300, and the standard deviation is $200.

$1100 is 1.5 standard deviations below the mean:

($1100 - $1300) / $200 = -1.0.

$1500 is 1 standard deviation above the mean:

($1500 - $1300) / $200 = 1.0.

Therefore, we can estimate that approximately:

68% of the farms in the sample have land and building values per acre between $1100 and $1500 plus or minus one standard deviation of $200. This is equivalent to approximately 50 farms, which is 68% of the sample size of 74 farms.

95% of the farms in the sample have land and building values per acre between $900 and $1700 plus or minus two standard deviations of $200. This is equivalent to approximately 70 farms, which is 95% of the sample size of 74 farms.

99.7% of the farms in the sample have land and building values per acre between $700 and $1900 plus or minus three standard deviations of $200. This is equivalent to approximately 73 farms, which is almost the entire sample size of 74 farms.

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Note: The full question is:-

The mean value of land and buildings per acre from a sample of farms is $1300, with a standard deviation of $200. The data set has a bell-shaped distribution. Assume the number of farms in the sample is 74. Use the empirical rule to estimate the number of farms whose land and building values per acre are between $1100 and $1500.

Answer:

9.26 per quart

Step-by-step explanation:

A 3-gallon bucket of paint costs $111.12.

  Find the price of per quart.

3 gallons equal 12 quarts. We divide 111.12 for 12 quarts by 12:

111.12 / 12 = 9.26

When the given fractions are ordered from the least fraction to the greatest fraction, the results would be:

The best way to order fractions in a list, from their least to their greatest is by converting them to decimals. This allows you to see which fractions are larger than the other.

The fractions in their decimal forms are:

- 4 5:

= -4 ÷ 5

= -0.80

- 3 / 7:

= -3 ÷ 7

= 0.43

2 / 3:

= 2 ÷ 3

= 0.67

1 / 4:

= 1 ÷ 4

= 0.25

The order would be:

-0.8, - 0.43, 0.25, 0.67

In their fraction forms this is:

= - 4/5, - 3 / 7, 1 / 4, 2 / 3

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The set of side measurements that could be used to form a right triangle is 3, 4 and 5 option (D) is correct.

What is a right-angle triangle?

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

It is given that:

The side length of the triangle is shown in the option:

As we know,

Pythagoras' theorem is the square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

Using Pythagoras' theorem:

From option(D):

3, 4 and 5

(3)² + (4)² = 5²

9 + 16 = 25 (True)

Thus, the set of side measurements that could be used to form a right triangle is 3, 4 and 5 option (D) is correct.

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Answer:

11.25

Step-by-step explanation:

For the conditions stated, y=1500+2250t and y=1200+1200t, respectively, will be necessary equations because both Rachel and Jeffery are opening savings accounts. Rachel places $1,500 in a savings account that accrues annual compound interest of 1.5%. Jeffery places $1,200 in a savings account that accrues continuously compounded interest of 1% per year.

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

according to given condition,

y=1500+1500*1.5t

y=1500+2250t

y=1200+1200*1t

y=1200+1200t

So the required equation will be y=1500+2250t and y=1200+1200t for the conditions given as Rachel and Jeffery are both opening savings accounts. Rachel deposits $1,500 in a savings account that earns 1.5% interest, compounded annually. Jeffery deposits $1,200 in a savings account that earns 1% interest per year, compounded continuously.

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The radius of the gear should be approximately 2.8644 inches.It is important to note that when making calculations involving units, we need to make sure that all units are consistent and convert them when necessary. In this case, we converted the answer from feet to inches to match the given unit.

To find the radius of the gear that will pull a chain at 60 ft/min when rotating at 40 rev/min, we can use the formula:

chain speed = 2 x pi x radius x rotational speed

where pi is a mathematical constant approximately equal to 3.14.

We know that the chain speed is 60 ft/min and the rotational speed is 40 rev/min, so we can substitute those values into the formula:

60 = 2 x 3.14 x radius x 40

Simplifying the equation, we get:

radius = 60 / (2 x 3.14 x 40)

radius = 0.2387 ft

To convert feet to inches, we can multiply the answer by 12:

radius = 0.2387 x 12 = 2.8644 inches.

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Determine the area of square.

The side of octagon is 8.

Determine the base length or height of a triangle.

So height and base of triangle is equal to h = 6 and b = 6 respectively.

Determine the area of 4 triangle.

Determine the area of octagon by substract area of 4 triangles from area of square.

Thus area of octahedral room is 328 square feet.

Answer:

(3, 5)

Step-by-step explanation:

The graph is is the standard y=|x| except the values tells you that x shifts 3 (within the absolute value or parentheses x does the opposite) to the right and the y value shifts 5 up (numbers outside parentheses affects y and does what it says). You can try using a table of values then graphing to check your answer.

You plot the points on the graph.

(-1,3) go to the left once and go up three

(0,3) you stay on the y axis and go up three

you just keep doing that for the rest of the points.

The area of each slice from the circle is 18π square units. Option C

The area of a circle is an enclosed region within a confined boundary. The area of a circle is measured as the product of π multiplied by the square of a radius.

From the information given:

The radius of the circle (r) = 12 units

The area of the circle = πr²

The area of the circle = π(12)²

The area of the circle = 144π

However, if the area is divided into 8 congruent(similar and equal) slices, the slice of each area will be:

=  144π/8

= 18π

The circumference of a circle = 2πr

If the radius = 12

The circumference of a circle = 2π(12)

The circumference of a circle = 24π

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Answer:

\( \mu = 23.33, \sigma =6.13\)

And for this case we are analyzing the value os 33.44 and we can use the z score formula given by:

\( z=\frac{X -\mu}{\sigma}\)

And replacing we got:

\( z=\frac{33.44 -23.33}{6.13}= 1.649\)

We know that the proportion of area beyond the Z score associated with this age is  .05 so then the percentile would be: 95

Step-by-step explanation:

For this case we have the following parameters:

\( \mu = 23.33, \sigma =6.13\)

And for this case we are analyzing the value os 33.44 and we can use the z score formula given by:

\( z=\frac{X -\mu}{\sigma}\)

And replacing we got:

\( z=\frac{33.44 -23.33}{6.13}= 1.649\)

We know that the proportion of area beyond the Z score associated with this age is  .05 so then the percentile would be: 95

Answer:

n = m - a

Step-by-step explanation:

a = m - n

add n to both sides of the equation

a + n = m - n + n

a + n = m

subtract a from both sides of the equation

a - a + n = m - a

n = m - a

Answer:

n = a - m

Step-by-step explanation:

a = m - n

a - m = n