Multiply.

8.12⋅30.3
no answers are telling me and I'm stuck

9514 1404 393

Answer:

  D. m∠C=63, b=28.1, c=25.1

Step-by-step explanation:

The angle sum relation tells you ...

  C = 180° -23° -94° = 63°

The law of sines tells you ...

  b/sin(B) = a/sin(A)

  b = sin(B)·a/sin(A) = sin(94°)·11/sin(23°) ≈ 28.084 ≈ 28.1

Similarly, ...

  c = sin(C)·11/sin(23°) = sin(63°)·28.15235 ≈ 25.084 ≈ 25.1

__

  C = 63, b = 28.1, c = 25.1

Step-by-step explanation:

Volume of a cylinder is the area of the end ( pi r^2) times the height , h.

pi r^2 h  = pi (10^2) 9  cm^3 = ~ 2827 cm^3

To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.

Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.

Using the law of sines, we can set up the following equation:

sin(50°) / 150 = sin(60°) / x

To solve for "x", we can rearrange the equation:

x = (150 * sin(60°)) / sin(50°)

Using a calculator, we can evaluate the expression:

x ≈ (150 * 0.866) / 0.766

x ≈ 168.4 ft

Therefore, the distance between Basti and Cian is approximately 168.4 ft.

Answer:

three halves

Step-by-step explanation:

1/2 * 3 = 3/2 = 1 1/2 = 1.5

Multiple: 1/2 * 3 = 1 · 3/2 · 1 = 3/2

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(3, 2) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - one half multiplied by three = three halfs.

Answer:

225

Step-by-step explanation:

Answer:

  (a)  twenty-eight ninths, square root of nineteen, cube root of eighty-eight

Step-by-step explanation:

When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.

The attachment shows the ordering, least to greatest, to be ...

  \(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)

__

Additional comment

We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.

One way to do the comparison is to convert these to values that need to have the same root:

  √19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)

  ∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)

The roots will have the same ordering as 19³ and 88².

Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...

  19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859

  88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744

Then the ordering is ...

  28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Answer:

the ordering is

28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Step-by-step explanation:

Answer:

They can write 3\4 of a speech in 1 hour

Step-by-step explanation:

Half of a half is 2/3 Split that in half and get 3\4

Answer:

???

Step-by-step explanation:

?????what's the question

Mai travels abοut 4.2 feet per secοnd faster than Kiran.

Circumference is the distance arοund the οutside οf a circle. It is the length οf the bοundary that enclοses a circle. Tο find the circumference οf a circle, yοu can use the fοrmula C=2πr, where "C" represents the circumference, "π" is a mathematical cοnstant (apprοximately equal tο 3.14159), and "r" is the radius οf the circle (the distance frοm the center οf the circle tο its edge). Sο, the circumference οf a circle is directly prοpοrtiοnal tο its radius. This means that if yοu dοuble the radius οf a circle, its circumference will alsο dοuble.

The circumference οf Kiran's ring is:

C1 = 2πr1 = 2π(9 ft) ≈ 56.55 ft

The circumference οf Mai's ring is:

C2 = 2πr2 = 2π(r1 + 8 ft) = 2π(17 ft) ≈ 106.81 ft

Therefοre, Mai travels a distance οf 106.81 - 56.55 = 50.26 feet mοre than Kiran in οne rοtatiοn.

The time it takes fοr οne rοtatiοn is given as 12 secοnds. Therefοre, the speed οf Kiran in feet per secοnd is:

V1 = C1 / t = 56.55 ft / 12 s ≈ 4.71 ft/s

And the speed οf Mai in feet per secοnd is:

V2 = C2 / t = 106.81 ft / 12 s ≈ 8.90 ft/s

The difference in their speeds is:

V2 - V1 = 8.90 ft/s - 4.71 ft/s ≈ 4.2 ft/s

Therefοre, Mai travels abοut 4.2 feet per secοnd faster than Kiran.

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The within-treatments sum of squares is sometimes referred to as the "error sum of squares" because it represents the amount of variability in the data that is not accounted for by the treatment effect. In other words, it represents the variability that is due to random error or chance factors that are not related to the treatment. The error sum of squares is used to estimate the variance of the population from which the samples were drawn. The F-ratio is then calculated by comparing the treatment mean square to the error mean square. If the treatment effect is significant, then the treatment mean square will be larger than the error mean square, resulting in a larger F-ratio and a rejection of the null hypothesis. Therefore, the error sum of squares is an important component of the ANOVA table as it helps to determine whether the treatment effect is significant or not.

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The match of the given equations and choices of the properties of equality are;

If a = b and b = c then a = c ; Transitive Property

If a = b then a ÷ c = b ÷ c; Division property of =

a = a; Reflexive property

If x + a = b and x = c then c + a = b; Substitution Property

If a = b then a + c = b + c; Addition Property of =

If a = b then a•c = b•c; Multiplication Property of =

If a•b = a•c then a•c = a•b Symmetric Property

a•(b + c) = a•b + a•c; Distributive property

If a = b then a - c = b - c; Subtraction Property of =

Properties of equality includes; addition, subtraction, transitive, reflexive, and symmetric properties of equality

The transitive property of equality can be stated as follows; If two variables are each equal to a third variable, then the two variables are equal to each other.

Therefore; a = b and b = c then a = c represents the transitive property

The division property states that both sides of an equation remain equal, following a division of both sides by the same non zero number

Therefore;

If a = b then a ÷ c = b ÷ c; represents the division property of equality

The reflexive property of equality states that a measure or number is always equal to itself

Therefore;

a = a represents the reflexive property

Substitution property indicates that if two variables are equal, then one can replace the other in an equation and the results will remain the same

Therefore;

If x + a = b and x = c then c + a = b; represents the substitution property

The statement of the addition (and subtraction) property of equality is that both sides of an equation remain equal following the addition or subtraction of the same amount from both sides the same

Therefore;

If a = b then a + c = b + c; represents the addition property of equality

If a = b then a - c = b - c; represents the subtraction property of equality

This states that both sides of an equation remain equal following the multiplication of both sides by the same value

The symmetric property states that two sides of an equation remain equal when their relative positions are interchanged

This states that two sides of an equation remain equal following a distribution with multiplication over addition or subtraction.

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Answer:

37.17 grams

Step-by-step explanation:

59% of 63 grams = 0.59 × 63 grams = 37.17 grams

Answer:

3 lb 7 oz

Step-by-step explanation:

Simply substract 6 lb & 3 lb , then substract 13 oz with 6 oz ..... AND YOU ARE DONE

!!! UwU gang !!!

*3ill MoB*

Answer:

step by step answer at least

Answer:

(0,34)

Step-by-step explanation:

I graphed the coordinates of the table on the graph below to find the y-intercept.

Step-by-step explanation:

Hence, the five fractions equivalent to 3/7 are 6/14,9/21,12/28,15/35 and 18/42.

Constructing an angle bisector using only a straightedge and compass involves drawing the Angle, creating two arcs that intersect the angle, and using those arcs to create a line segment that bisects the angle.

To construct an angle bisector using a straightedge and compass, there are several steps that you need to follow. The correct order of steps for constructing an angle bisector of ABC using only a straightedge and compass are listed below:

Step 1: Draw the angle ABC with a straightedge.

Step 2: Place the point of the compass on point B and swing an arc that intersects both lines that make up the angle. Label the two points where the arc intersects the angle as points D and E.

Step 3: Without changing the compass width, place the point of the compass on point D and swing an arc that intersects the ray that extends from point B. Label the point of intersection as point F.

Step 4: Without changing the compass width, place the point of the compass on point E and swing an arc that intersects the ray that extends from point B. Label the point of intersection as point G.

Step 5: Draw the line segment FG with a straightedge. This line segment is the angle bisector of angle ABC.

In summary, constructing an angle bisector using only a straightedge and compass involves drawing the angle, creating two arcs that intersect the angle, and using those arcs to create a line segment that bisects the angle. Following these steps will allow you to construct the angle bisector of ABC accurately.

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Answer:

0.167

Step-by-step explanation:

if you divide 30/180 it will get you a decimal of 0.166666667 but if you were to divide 180 by 30 you will get 6

technecaly your answer would be 0.166666667 but you only take the first number in the decimal which is 0.1 then take six 0.16 then add the 7 0.167

that should end up being your answer if i did the math right

Answer:

Step-by-step explanation:

5/12 * 6/15 =30/180

1/6=1/6

which is true, Right-hand side is equal to left-hand side

Answer:

the first one is

+2 +4 + 8 + 16 +32

he multiply by 2 every time he add numbers so its 65

the second one he make this

-8 -4 -2 -1

every time he Take from numbers he devide by 2

so its 5

the third one

+6 +18 + 54 + 162

every time he add he multiply by 3

ao its 162 +80 =242

the fourth one is

+33 +66 + 132 +264

he multiply by 2 every time he add

so its 267+264=531

the fiveth one is

he put the roots

2²,3²,4²,5²,6²

so the answer is 36

Step-by-step explanation:

A 65

B 5

C 242

D 531

E 36

hopefully its helpful man

Answer:

He solved 75% of the puzzles!

Step-by-step explanation:

Okay, let's look at our fraction 18 out of 24. We can see that they are both even numbers, so at worst, we can divide the entire fraction by two. However, they have a GCF of six, so we will use that.

18                               3

----  divided by 6  =  ----

24                              4

Now that we have the fraction 3/4, we can turn that into a percentage!

3/4 is 0.75. To get the percentage, we multiply that by 100--now we have 75%.

The frequency of the wave in the stretched wire, evaluated using the formula for a standing wave in a vibrating string are as follows;

(a) The frequency of the first harmonic is about 28.013 Hz

(b) The frequency of the second harmonic is about 56.026 Hz

(c) The third harmonic frequency is about 84.039 Hz

A stretched string vibrates such that the wavelength of the wave in the string is proportional to the length of the string.

The frequency of a stretched string can be found with the formula;

\(f_1 = \dfrac{\sqrt{\dfrac{T}{m/L} } }{2\cdot L}\)

Where;

T = The tension in the wire = 578 N

m = The mass of the string = 0.341 g

L = The length of the string = 54.0 cm = 0.54 m

Therefore;

f₁ = (√(578/(0.341/0.54))/(2×0.54) ≈ 28.013

(b) A general formula for the frequency of a standing wave is presented as follows;

\(f_n= \dfrac{n \cdot v}{2\cdot L}\)

Where;

\(f_n = \dfrac{n\times \sqrt{\dfrac{T}{m/L} } }{2\cdot L}\)

Therefore, the second harmonics, f₂ = 2·f₁

f₂ = 2 × (√(578/(0.341/0.54))/(2×0.54) ≈ 56.026

(c) The third harmonics, f₃ = 3 × f₁

Therefore;

f₃ = 3 × (√(578/(0.341/0.54))/(2×0.54) ≈ 84.039

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Answer:

48

Step-by-step explanation:

setup a ratio using the length and perimeter then reduce it.

\( \frac{2}{8} \)

reduces to

\( \frac{1}{4} \)

the numerator is length and denominator is perimeter. setup the proportion

\( \frac{1}{4} = \frac{12}{p} \)

cross multiply

\(1p = 48\)

1 times p = p, so the answer is 48

By subtracting 42 in both sides of the equation, we will get:

k = -45

Thus the correct option is B.

We want to solve the following equation:

42 + k = -3

To solve this equation, we need to isolate the variable k in that equation.

To do so, we can just subtract 42 in both sides of the equation, then we will get:

42 + k - 42 = -3 - 42

(42 - 42) + k = -3 - 42

k = -45

That is the equation solved, we can see that the correct option is B.

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Answer:

B

Step-by-step explanation:

The unknown angle in the cyclic quadrilateral is as follows:

m∠CML = 109 degrees

A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle.

The sum of angles in a cyclic quadrilateral is 360 degrees.

Therefore, let's find m∠CML as follows:

Using the arc angle and opposite angle of a quadrilateral theorem,

6x + 25 = 1 / 2 (7x + 14 + 106)

6x + 25 = 1 / 2(7x + 120)

6x + 25 = 7 / 2 x + 60

6x - 7 / 2 x  = 60 - 25

6x - 3.5x = 35

2.5x = 35

divide both sides by 2.5

x = 35 / 2.5

x = 14

Therefore,

m∠CML = 6x + 25 = 6(14) + 25 = 84 + 25 = 109 degrees

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when the scale factor is 1, we have:

(side length of side opposite ∠A) / (length of hypotenuse) = sin A

When the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse remains the same as in the original triangle. In a right triangle, the side opposite ∠A is referred to as the "opposite" side, and the hypotenuse is the longest side.

The ratio of the side length of the side opposite ∠A to the length of the hypotenuse is commonly known as the sine of angle A (sin A). So, when the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse is equal to sin A.

In mathematical terms, when the scale factor is 1, we have:

(side length of side opposite ∠A) / (length of hypotenuse) = sin A

It's important to note that this ratio holds true for any right triangle, regardless of its size or dimensions, as long as the angle A remains the same.

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Answer:

\(0.60 - 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.570\)

\(0.60 + 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.630\)

The 95% confidence interval for the true proportion would be given by (0.570;0.630) .

And if we convert this into % we got (57.0%, 63.0%)

Step-by-step explanation:

The information given we have the following info given:

\( n = 1019\) represent the sampel size

\( \hat p=0.6\) represent the sample proportion of interest

The confidence level is 95%, our significance level would be given by \(\alpha=1-0.95=0.05\) and \(\alpha/2 =0.025\). And the critical value would be given by:

\(z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96\)

The confidence interval for the mean is given by the following formula:  

\(\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}\)

Replacing the info given we got:

\(0.60 - 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.570\)

\(0.60 + 1.96\sqrt{\frac{0.60(1-0.60)}{1019}}=0.630\)

The 95% confidence interval for the true proportion would be given by (0.570;0.630) .

And if we convert this into % we got (57.0%, 63.0%)

The reasonable domain for the function is (b) x > 0

From the question, we have the following parameters that can be used in our computation:

The function f(x) = 75x + 100

Where x is the number of hours

f(x) is the total cost.

In this case, the number of hours cannot be negative or 0

This means that the values of x in the function would be x > 0

These values of x are the domain

So, the reasonable domain for the function os (b) x > 0

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There are 2518 sets of five marbles that include either the lavender one or exactly one yellow one, but not both.

To solve this problem, we need to find the number of sets of five marbles that include either the lavender one or exactly one yellow one, but not both colors. Here's one way to approach the problem:

Number of sets of five marbles that include the lavender one: There is only one lavender marble, so we can choose any 4 other marbles to go with it.

There are a total of 7 marbles to choose from, so there are 7 possible choices for the first marble, 6 for the second, 5 for the third, and 4 for the fourth.

This gives us a total of 7 x 6 x 5 x 4 = 840 possible sets of five marbles that include the lavender one.

Number of sets of five marbles that include exactly one yellow one: There are two yellow marbles,

So there are 2 possible choices for the yellow marble. For each choice, we can choose any 4 other marbles to go with it.

As before, there are 7 marbles to choose from, so there are 7 possible choices for the first marble, 6 for the second, 5 for the third, and 4 for the fourth.

This gives us a total of 2 x (7 x 6 x 5 x 4) = 1680 possible sets of five marbles that include exactly one yellow one.

Number of sets of five marbles that include both the lavender one and exactly one yellow one:

We need to subtract these sets from the total number of sets that include either the lavender one or exactly one yellow one.

We have already found that there are 840 sets of five marbles that include the lavender one, and 1680 that include exactly one yellow one.

To find the number of sets that include both, we can choose any one yellow marble and the lavender one.

There are 2 choices for the yellow marble and 1 choice for the lavender one,

So there are 2 x 1 = 2 possible sets of five marbles that include both the lavender one and exactly one yellow one.

Number of sets of five marbles that include either the lavender one or exactly one yellow one, but not both:

Finally, we need to subtract the number of sets that include both the lavender one and exactly one yellow one from the total number of sets that include either the lavender one or exactly one yellow one.

The total number of sets that include either the lavender one or exactly one yellow one is 840 + 1680 = 2520. The number of sets that include both is 2,

So the number of sets that include either the lavender one or exactly one yellow one, but not both, is 2520 - 2 = 2518.

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