Here are eight angles. Which of these angles are acute angles?
Enter your answer as a list of letters, separated by commas. For example, if you believe angles A, B, and F are acute, type A, B, F.
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If the archaeologist found a fossil whose length is 489.44 inches, using the conversion table, the length in feet, to the nearest tenth, is 40.8 feet.

The conversion table refers to the tabulated standard units of measurement, showing temperature, length, area, volume, weight, and metric conversions

For instance, the conversion table shows that 12 inches equal 1 foot.

The length of the fossil = 489.44 inches

12 inches = 1 foot

489.44 inches = 40.8 feet (489.44 ÷ 12)

Thus, using the conversion table, which relies on multiplication or division operations using the conversion factors, the length in feet of the fossil is 40.8 feet.

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Answer:

The inverse function is \(y = -\frac{x}{4}\)

Step-by-step explanation:

Inverse of a function:

To find the inverse of a function, we exchange x by y, then we isolate y.

y = -4x

Finding the inverse:

\(x = -4y\)

\(4y = -x\)

\(y = -\frac{x}{4}\)

So

The inverse function is \(y = -\frac{x}{4}\)

Answer:

66

Step-by-step explanation:

So the volume of a cone is \(\pi r^2*\frac{h}{3}\)

r = 3

h = 7

\(9\pi *\frac{7}{3} = 21\pi\)

\(\frac{22}{7} *21=66\)

Hey!!!!

Hope it helps.....

Good luck on your assignment

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The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².

To calculate the perimeter and area of the square, we can use the formulas:

Perimeter = 4 * side length

Area = side length * side length

Substituting the given side length of 4√5mm into the formulas, we have:

Perimeter = 4 * 4√5mm = 16√5mm

Area = (4√5mm) * (4√5mm) = 16 * 5mm = 80mm²

Therefore, the perimeter of the square is 16√5mm, and the area of the square is 80mm².

Please note that the values are based on the provided side length of 4√5mm. If there are any changes to the side length, the perimeter and area will differ accordingly.

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The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².

I took the test on plato.

Answer:

Cannot be determined

Step-by-step explanation:

We only know one angle and we could only compare one set of sides.

We do not have enough information to determine if the triangles are similar

Answer:

The Area of the trapezium is \(60cm^2\)

Step-by-step explanation:

Given,

Height (h)= 8cm

Sum of the parallel sides (a+b)= 15cm

Area of trapezium = \(1/2*h*(a+b)\)

                              =\(1/2*8*15\)

                              =\(4*15\)

Area of trapezium=60cm^2

Answer: Area = 60 cm²

Step-by-step explanation:

To find the area of a trapezium we use the formula

Area of trapezium = 1/2 (sum of parallel sides) × height

∴ Area = 1/2 ×15 cm × 8 cm

           = 60 cm²

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33.) The volume of the given triangular prism would be= 36. That is option E.(NOTA)

To calculate the volume of a triangular prism, the formula that should be used is given as follows;

Volume= BH

where;

B= area of base = 1/2 × base×height

= 1/2×4×3

= 6

H= 6

Volume= 6×6= 36.

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Answer:

Excise tax

Step-by-step explanation:

Correct me if I'm wrong <3

Answer:

Step-by-step explanation:

\(\text{$\therefore$ the system of linear equation has only one solution}\)

Answer:

The quotient will have a larger value than the dividend.

Step-by-step explanation:

Example:

15 ÷ \(\frac{1}{2}\)

\(\frac{5}{\frac{1}{2} }\)

\(\frac{\frac{15}{1} }{\frac{1}{2} }\)  x \(\frac{\frac{2}{1} }{\frac{2}{1} }\) = \(\frac{\frac{30}{1} }{1}\) = 30

Our quotient of 30 has a larger value than the dividend of 15.

Helping in the name of Jesus.

Answer

6/15, 4/6

Step-by-step explanation:

Answer:

we can compare 4 x 3 and 2 x 6, equal to 12. So, we can see that both products are similar and neither is greater.

Step-by-step explanation:

We can use the commutative property of multiplication to see that 3 x 4 is the same as 4 x 3 and 6 x 2 is the same as 2 x 6. When multiplying two numbers, the order of the numbers does not affect the product. Therefore, we can compare 4 x 3 and 2 x 6, equal to 12. So, we can see that both products are similar and neither is greater.

NEED MORE EXPLANATION?

The commutative property of multiplication states that when multiplying two numbers, the order of the numbers does not affect the product. This means that 3 x 4 is the same as 4 x 3, and 6 x 2 is the same as 2 x 6. We can use this property to compare 4 x 3 and 2 x 6, equal to 12. Therefore, we can see that both products are identical and neither is greater.

Answer:

80

Step-by-step explanation:

The number of adults is 882 adults.

The number of teenagers is 252 teenagers.

The number of children is 441 children.

From the information, 1575 people visited the amusement park. 56% of the visitors were adults, 16% were teenagers, and 28% were children ages 12 and under.

The number of adults will be:

= 56% × 1575.

= 882 adults

The number of teenagers will be:

= 16% × 1575

= 252 teenager

The number of children will be:

= 28% × 1575

= 441 children

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Answer:

Number of adults

56/100×1575=882

Number of teenagers

16/100×1575=252

Number of children

28/100×1575=441

Answer:

16

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

1+9+40-40+40+10*2

----------------------- 20

10+40-40+40+20

50 (-40+40 cancels out to 0) +20

50+20= 70

(Following PEMDAS)

Multiply, add, subtract.

if you were to instead go through it left to right, you would get 120, which is incorrect.

Answer:

21 Kg of tomatoes

Step-by-step explanation:

$252 / 42 kg = $6 per kg

$126 / $6 = 21 Kg

Answer:

Step-by-step explanation:

42 kg of tomatoes costs $252. how many kilograms of tomatoes can you get with $126

we can solve with an equation

42 : 252 = x : 126

x = 42 * 126 : 252

x = 5292 : 252

x = 21

Answer:

\(x = -5 + \sqrt{2}\) or \(x = -5 - \sqrt{2}\)

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Subtract 1 from both sides.

For this equation: a = 2, b = 20, c = 46

Step 3: Utilize quadratic formula with a = 2, b = 20, c = 46.

Therefore, the answer is \(x = -5 + \sqrt{2}\) or \(x = -5 - \sqrt{2}\).

The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),

To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:

h = h0 + v0t + 1/2at^2

where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).

In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.

At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:

v = v0 + at

we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:

0 = 108 - 32.2t

t = 108/32.2 ≈ 3.35 s

Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.

Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:

h_hill = h0 + v0t + 1/2at^2 - h_top

where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:

h_top = h0 + v0^2/2a

Plugging in the given values, we get:

h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft

Plugging this into the first equation, we get:

h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78

h_hill ≈ 25.73 ft

If the arrow is launched at t0, the equation describing velocity as a function of time would be:

v(t) = v0 - gt

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The value of the missing data point is 10. Option C

The data set has 8 data points, and the median is given as 12. The median is the middle value when the data points are arranged in ascending or descending order.

Let's arrange the data set in ascending order:

6, 8, ?, 8, 14, 15, 16, 18

Since the median is 12, it should be the fourth data point when arranged in ascending order. Therefore, the missing data point must be the fourth value in the sorted data set.

From the given options, the only whole number that could fit as the fourth value in the data set is 10.

Thus, the value of the missing data point is C. 10.

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Answer:

Distance = 660 meters

Step-by-step explanation:

Given the following data;

Radius, r = 21 m

Number of revolutions = 5 times

To find the distance covered;

The distance covered in one revolution is given by the circumference of a circle.

Mathematically, circumfeence of a circle is equal to;

C = 2πr

Substituting into the formula, we have;

C = 2 * 22/7 * 21

C = 44 * 3

C = 132 meters

Next, we find the distance covered;

Distance = Circumference * Number of revolutions

Distance = 132 * 5

Distance = 660 meters

Answer:

16

Step-by-step explanation:

16 × 16 = 256

√256 = 16

hope this helps...

If the circle is rotated about the vertical axis then it forms the shape of a sphere with the same center.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A circle is rotated around a vertical axis. The circle does not intersect the axis.

The three-dimensional shape resulting from the rotation will be

If the circle is rotated about the vertical axis then it forms the shape of a sphere with the same center.

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Answer:

C. DIvide both sides by -6 to get 1/9.

Step-by-step explanation:

Answer:

$10.10

Step-by-step explanation:

$7.50 + $2.60 = $10.10

Answer:

let x=2t and y=5t

-x+3y = -2t+15t = 13t

2x+y = 4t+5t = 9t

So the ratio is 13t : 9t

So, the ratio is 13 : 9

Answer:

When it's negative when it goes to the other side it becomes a positive.....

Y=(x-4)(x-1)

Make y 0 when your calculating for x

Make x 0 when your calculating for y

0=(x-4)(x-1)

Therefore x=4 or x=1