How would you expand log412 so that it can be evaluated, given log43 ≈ 0.792? Log Subscript 4 Baseline 3 times log Subscript 4 Baseline 4 StartRoot a squared + b squared EndRoot log 3 + log 4 log Subscript 4 Baseline 3 + log Subscript 4 Baseline 4 log 3 times log 4

Answer: 76 meters

Step-by-step explanation:

top side left blank = 18 because it is congruent to the bottom

left side blank is 4 + 4 + 4 (right side lengths added)

left side blank is 12

add all side lengths together for perimeter

12 + 18 + 4 + 8 + 4 + 8 + 4 + 18 = 76

76 meters

Answer:

Step-by-step explanation:

The hour hand is 20 mm and the minute hand is

The tip of the hour hand travels 1/12 of the circle and the tip of the minute hand travels full circle in one hour.

Find each length and their difference using circumference formula.

Hour hand

Minute hand

The difference between the two above

Answer:

230.38 mm

Step-by-step explanation:

The distance traveled by the tip of the hands is (part of) the circumference of the circle with radius of the lengths of the hands.

[tex]\textsf{Circumference of a circle}=\sf 2 \pi r\quad\textsf{(where r is the radius)}[/tex]

Radii

Larger circle (minute hand):  

Smaller circle (hour hand):

Minute Hand

The minute hand does a full rotation of the circle in one hour.

Therefore, the distance it travels in one hour is the complete circumference of a circle with radius 40 mm:

[tex]\begin{aligned} \implies \textsf{Distance minute hand travels} & = \sf 2 \pi (40)\\ & = \sf 80 \pi \: mm\end{aligned}[/tex]

Hour Hand

There are 12 numbers on a clock.

The hour hand travels from one number to the next in one hour.

Therefore, the distance it travels in one hour is 1/12th of the circumference of the circle:

[tex]\begin{aligned}\implies \sf \textsf{Distance hour hand travels} & =\left(\dfrac{1}{12}\right)2 \pi r\\ & = \sf \left(\dfrac{1}{12}\right)2 \pi (40)\\& = \sf \dfrac{20}{3}\pi \: mm \end{aligned}[/tex]

To find how much farther the tip of the minute hand moves than the tip of the hour hand, subtract the latter from the former:

[tex]\begin{aligned}\implies \textsf{distance} & = \textsf{minute hand distance}-\textsf{hour hand distance}\\& = \sf 80 \pi - \dfrac{20}{3} \pi \\& = \sf \dfrac{220}{3} \pi \\& = \sf 230.38\: mm \:(nearest\:hundredth) \end{aligned}[/tex]

Answer:

[tex]\frac{198}{7} \ \text{feet}^{2}[/tex]

Given:

To find the area of the rug, we need to use the formula "πr² or π(D/2)²"

Where:

Since we do not have the radius, we need to substitute the diameter in the formula "π(D/2)²" to determine the area of the rug.

⇒ [tex]\pi (\frac{D}{2} )^{2}[/tex]

⇒ [tex]\pi (\frac{6}{2} )^{2}[/tex]

⇒ [tex]\pi (3 )^{2}[/tex]

⇒ [tex]\pi (3 )(3)[/tex]

⇒ [tex]9\pi[/tex]

Substituting "22/7" as π:

⇒ [tex]9(\frac{22}{7} )[/tex]

⇒ [tex](\frac{198}{7} )[/tex]

When finding the area of ANY shape, do not forget to include the units.

⇒ [tex]\frac{198}{7} \ \text{feet}^{2}[/tex]

Answer:

28.26 ft²

Step-by-step explanation:

Formula:

[tex]\text{Area of circular rug:} = \pi r^{2}[/tex]

Determining the radius of the circular rug:

To determine the radius, we need to divide the diameter by 2.

Given diameter: 6 feet

[tex]\implies {\dfrac{\text{Diameter}}{2} = \text{Radius}[/tex]

[tex]\implies {\dfrac{\text{6}}{2} = \text{Radius}[/tex]

[tex]\implies 3\ \text{feet} = \text{Radius}[/tex]

Replacing the radius in the formula:

[tex]\implies \text{Area of circular rug:} = \pi (3)^{2}[/tex]

Determining the area of the circular rug:

[tex]\implies \text{Area of circular rug:} = \pi (3)^{2}[/tex]

[tex]\implies \text{Area of circular rug:} = 9\pi[/tex]

Replacing π as 3.14 (Approx. measure of π):

[tex]\implies \text{Area of circular rug:} = 9(3.14)[/tex]

[tex]\implies \text{Area of circular rug:} = 28.26 \ \text{ft}^{2}[/tex]

Using the given function, it is found that the snowball traveled 4 feet when the height is 20 feet.

The height when x feet are traveled is given by:

h(x) = -0.5x² + 6x + 4.

When the height is of 20 meters, we have that h(x) = 20, hence:

20 = -0.5x² + 6x + 4.

0.5x² - 6x + 16 = 0

x² - 12x + 32 = 0

(x - 8)(x - 4) = 0

For the first time: x - 4 = 0 -> x = 4.

The snowball traveled 4 feet when the height is 20 feet.

More can be learned about functions at https://brainly.com/question/25537936

Step-by-step explanation:

x is the angle.

complementary angles are adding up to 90°.

supplementary angles are adding up to 180°.

so,

90 - x = (180 - x) - 40 = 140 - x

0 = 50 ? no

there is something wrong here. this cannot work out, there is no solution. there cannot be a solution.

because due to the definitions, the supplementary measure of an angle must always be 90° larger than the complementary measure of the same angle. that is by default the difference in their definition.

so, if an angle is only 40° less than the supplementary angle, then it cannot be the complementary angle.

so, either there was a mistake in the question, or this is a trick question.

under the given circumstances, there is no solution possible.

Answer:

V≥10

Step-by-step explanation:

V−6≥4

Add 6 to both sides.

V≥4+6

Add 4 and 6 to get 10.

V≥10

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Hoped this helped :)

Answer:

Step-by-step explanation:

answers:      x = 7

    x = -6

let me know if you need anymore help.

mark me brainliest please.

Answer:

377 square centimeters

Step-by-step explanation:

Formula: h(2×pi×radius) I know there's a second part but I'm doing this first.

First find the radius, in the problem it says a diameter of 10cm

Divide 10 by 2 to find the radius = 5

I'm going to use 3.14 as Pi

7(2×3.14×5)

7(31.4) = 219.8

Next part, solving for the 2 circles

Formula: 2×pi×radius²

2×3.14×5²

solve 5² first (5×5) = 25

2×3.14×25 is 157

add 219.8 and 157 = 376.8 round to 377

Answer: 377 square centimeters

A) System doesn't have a solution.

x-y=4

2x-2y=1

x=4+y

2(4+y)-2y=1

8+2y-2y=1

8≠1

B) System has one solution.

x-4y=0

2x+4y=3

x=4y

2(4y)+4y=3

8y+4y=3

12y=3

y=1/4

C) Every solution is right for the system.

x-2y=1

4x-8y=4

x=1+2y

4(1+2y)-8y=4

4+8y-8y=4

4=4

Answer:

A. a transformation that either reduces or enlarges an object in the coordinate plane

Step-by-step explanation:

The definition of dilation is the size of an object/shape by increasing/ decreasing its dimensions by scaling factors.

Dialtions do not flip and object, spin it, or slide it. It's dimensions are either enlarged, or reduced. Therefore, option A makes the most sense.

D) Line JK

<----->

JK

Hope it helps :)

The easiest way to convert a fraction to a decimal is to divide the numerator (the top of the fraction) by the denominator (the bottom of the fraction)

3/12=0.25

Answer:

the results are

a. 1,080-inch

b.  90 feet

Step-by-step explanation:

there are 4 steps to get to your resluts

Answer:

just awnsering for the points sorry man

Step-by-step explanation:

Answer:

I think the modes are: 20 ,18 and 19

Using the uniform distribution, it is found that there is a 0.9 probability that the tree's angle, from the vertical, will be greater than 4 degrees.

It is a distribution with two bounds, a and b, in which each outcome is equally as likely.

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

In this problem, the bounds are a = 3 and b = 13, hence:

[tex]P(X > 4) = \frac{13 - 4}{13 - 3} = 0.9[/tex]

There is a 0.9 probability that the tree's angle, from the vertical, will be greater than 4 degrees.

More can be learned about the uniform distribution at https://brainly.com/question/13889040

Answer:

There is a 0.9 probability that the tree's angle, from the vertical, will be greater than 4 degrees.

Step-by-step explanation:

just took the test :D

Answer:

~Lord

The magnitude of the degree in a circle is. there are 5 angels in a circle

measure of each angle:

so measure of each angle is 72°

Step-by-step explanation:

As Per Provided Information

Number of sector in given circle is 5

As we know sum of all angles in a circle at centre is 360° .

Since number of sector is given and we are asked to find the measure of each angle in given circle .

[tex] \huge{ \boxed{\sf \: Angle_{(Circle)} = \cfrac{360}{ \: number \: of \: sector}}}[/tex]

Now put the value in above equation and we obtain

[tex] \longrightarrow\sf \: Angle_{(Circle)} = \cfrac{360}{5} \\ \\ \\ \longrightarrow\sf \: Angle_{(Circle)} = \cancel \dfrac{360}{5} \\ \\ \\ \longrightarrow\sf \: Angle_{(Circle)} = {72}^{ \circ} [/tex]

Therefore,

Answer:

I belive that will be a trapazoid

Step-by-step explanation:

Both sides on the top and bottom are parallel
Please tell me if im wrong!

Answer:

Trapezium

Step-by-step explanation:

It has exactly one pair of parallel sides

Answer:

I think it is B (16)

Step-by-step explanation:

Using the normal distribution and the central limit theorem, it is found that there is a 0.5934 = 59.34% probability that there is an error of at most $1000.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Researching the problem on the internet, it is found that the population has mean and standard deviation given, respectively, by [tex]\mu = 57300, \sigma = 9600[/tex].

For samples of 64, the standard error is given by:

[tex]s = \frac{9600}{\sqrt{64}} = 1200[/tex]

The probability of an error of at most $1000 is the probability of a sample mean between $56,300 and $58,300, which is the p-value of Z when X = 58300 subtracted by the p-value of Z when X = 56300, hence:

X = 58300:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{58300 - 57300}{1200}[/tex]

Z = 0.83

Z = 0.83 has a p-value of 0.7967.

X = 56300:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{56300 - 57300}{1200}[/tex]

Z = -0.83

Z = -0.83 has a p-value of 0.2033.

0.7967 - 0.2033 = 0.5934.

0.5934 = 59.34% probability that there is an error of at most $1000.

To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213

The selling price to earn $10 per Bible if 5,000 Bibles are printed when the fixed costs per print is $15,000 and variable costs are $25 per Bible, is $38.

The target profit is the profit that is expected by a manufacturer from the sale of its product.

The target profit can be established and used to determine the selling price.

When the target profit is added to the fixed cost per unit and the variable cost per unit, the resultant figure is the selling price.

Fixed costs per print = $15,000

Number of Bibles per print = 5,000

Fixed costs per Bible = $3 ($15,000/5,000)

Variable costs per Bible = $25

Expected profit per Bible = $10

The selling price = $38

Thus, the selling price to earn $10 per Bible if 5,000 Bibles are printed when the fixed costs per print is $15,000 and variable costs are $25 per Bible, is $38.

Learn more about determining the selling price at https://brainly.com/question/1153322

Answer: 10 cars

Step-by-step explanation:

We know that:

A railroad car is 6 inches long and the railroad track is 5 feet long

Start by converting feet to inches. You can do that by multplying the amount of feet by 12.

5 feet x 12 = 60 inches

Now we can divide the length of the railroad track by the length of the railroad cars to see how many we can fit.

60 ÷ 6 = 10

Answer:

(x+2)^2 + (y-4)^2 = 4^2

Step-by-step explanation:

A circle is x^2 + y^2 = 1 , where r = 1

The radius of that circle looks to appear to be r = 4.

x^2 + y^2 = 4^2

Transition that circle origin from (0,0) to (-2,4)

The origin is (-2,4) which mean h = -2 left and k = 4 up.

(x-h)^2 + (y-k)^2 = 4^2

(x-(-2))^2 + (y-4)^2 =4^2

Answer:

12 days

Step-by-step explanation:

Semi perimeter:-

[tex]\\ \rm\rightarrowtail s=\dfrac{a+b+c}{2}[/tex]

[tex]\\ \rm\rightarrowtail s=\dfrac{1.8+2.4+3}{2}[/tex]

[tex]\\ \rm\rightarrowtail s=\dfrac{7.2}{2}=3.6cm[/tex]

Apply heron s formula

Area:-

[tex]\\ \rm\rightarrowtail \sqrt{s(s-a)(s-b)(s-c)}[/tex]

[tex]\\ \rm\rightarrowtail \sqrt{3.6(3.6-1.8)(3.6-3)(3.6-2.4)}[/tex]

[tex]\\ \rm\rightarrowtail \sqrt{3.6(1.8)(0.6)(1.2)}[/tex]

[tex]\\ \rm\rightarrowtail \sqrt{4.6656}[/tex]

[tex]\\ \rm\rightarrowtail 2.16cm^2[/tex]

Answer:

[tex]\sf Area \ of \ a \ Triangle=\dfrac12bh[/tex]

(where b is the base of the triangle and h is the height)

Given:

Substitute the given values into the formula:

[tex]\sf \implies Area=\dfrac12 \cdot 2.4 \cdot 1.8[/tex]

               [tex]\sf =2.16 \ cm^2[/tex]

Answer:

$6.25 for each CD

Step-by-step explanation:

6.25 x 400 = 2,500

2,500 - 2,000 = 500

there is a 500 profit

Answer: Below

Step-by-step explanation:

We know that water must be three times flour, so our end goal is 12 cups of water, since 4 * 3 = 12.

We already have 2.5 and 4, so we make the equation:

2.5 + x = 12

Simplify.

x = 7.5

Our answer is 7.5