What is the density of a material with a mass of 512 kilograms and a volume of 4 cubic meters?

Check out the drawing below. The triangles are to scale.

So far, we have two sides that are 3 units long (AB and PQ) and two sides that are 6 units long (CA and RP) when we compare the angles A and P.

The difference is that side BC = 4 is shorter than QR = 5. This is the exact reason why angle A is smaller than angle P. The smaller the opposite side gets, the smaller the angle gets, and vice versa. Think of it like a door. As the door opens further, the distance from the door handle to the door frame increases which in turn increases the angle.

Answer:

x² + y² = 74

Step-by-step explanation:

given

(x - y) = 8 ( square both sides )

(x - y)² = 8² ← expand left side using FOIL

x² - 2xy + y² = 64 ← substitute xy = 5

x² - 2(5) + y² = 64

x² - 10 + y² = 64 ( add 10 to both sides )

x² + y² = 74

Answer:

40

Step-by-step explanation:

40

Answer:

Step-by-step explanation:

To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.

For example:

y=-2/3(-6)=7

-2/3x6=-4

-4+7=3

(-6,3)

You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.

To get the x value, you need to fill in the y in the equation y=-2/3x+7

for example:

5=-2/3x+7

-2=-2/3x

3=x

(3,5)

y=-2/3x+7

y=-2/3(15)+7

y=-10+7

y=-3

(15,-3)

y=-2/3x+7

15=-2/3x+7

8=-2/3x

-12=x

(-12,15)

Answer:

Step-by-step explanation:

The graph tells you the zeros of the function are x=-3/4 and x=4.

The y-intercept is the constant in the function: 12.

The maximum is 22.5625 at x = 1.625.

Answer:

81.25 ; 3091.48 ; 55.60

Step-by-step explanation:

Given the data :

45, 60, 25, 55, 75, 90, 100, 120, 105, 80, 0, 220

The mean :

ΣX/n ; n = sample size

ΣX = 45+60+25+55+75+90+100+120+105+80+0+220 = 975

n = 12

Mean = 975 / 12 = 81.25

The variance :

Σ(X - m)^2 / n - 1

Using calculator to save computation time :

The variance : (34006.24997 / 11)

Variance = 3091.48

The standard deviation :

Sqrt(Variance) = sqrt(3091.48) = 55.60

Answer:

B; There is only one (x,y) solution and y is negative

Step-by-step explanation:

First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.

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The value of m + n is given as follows:

A. 18.

The exponential expression for this problem is defined as follows:

\((x^5y^6)^{\frac{1}{5}}(x^3y^4}^{\frac{1}{4}}\)

Applying the power of power rule, we have that the exponents are given as follows:

Then the values of m and n are given as follows:

m = 7, n = 11.

Thus the sum is given as follows:

m + n = 7 + 11 = 18.

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By using the Unitary Method we get the number of children who went on an excursion was 63. Thus, the total number of children at school is 90.

We are given that,

No. of children who stayed at school is 27,

Also, 70% of the children went on an excursion.

Suppose, the total number of children in percentage is 100%

Out of which 70% went on an excursion

Thus, the children who stayed at school is 100% - 70% = 30%

By using the Unitary method, we can find out the number of 70% of children.

If 30% of the children are 27

Then 70% of the children are = 27 × 100

                                                        30

                                                 = 63

∴ the total no. of children in the school = 27 + 63

                                                                 = 90

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Austin's rate of motion is (1/70)π Radians per second.

To determine Austin's rate of motion in radians per second, we need to use the formula for angular velocity:

ω = Δθ / Δt

Where:

ω = angular velocity (in radians per second)

Δθ = change in angular displacement (in radians)

Δt = change in time (in seconds)

We know that Austin runs three-quarters of a circular track, which means he covers an arc length that is equal to three-quarters of the circumference of the circle. Let's call the radius of the circle "r". Then, the arc length covered by Austin is given by:

s = (3/4) * 2πr

s = (3/2)πr

We also know that it takes Austin 1 minute and 45 seconds to cover this distance. This is the same as 105 seconds (since 1 minute = 60 seconds).

So, Δt = 105 seconds

Now, we can calculate the change in angular displacement (Δθ). The total angle around a circle is 2π radians, so the angle covered by Austin is given by:

Δθ = (3/4) * 2π

Δθ = (3/2)π

Therefore, Austin's rate of motion (ω) in radians per second is:

ω = Δθ / Δt

ω = [(3/2)π] / 105

ω = (3/210)π

ω = (1/70)π radians per second

So, Austin's rate of motion is (1/70)π radians per second.

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Answer:

75°

Step-by-step explanation:

All parallel lines will meet their transversal (the line going through them) at the same angle. We can imagine sliding line m up to line l until the two are overlapping, and naturally all of those angles at the intersection will overlap, too. ∠6 will overlap ∠2, so the two angles are congruent. If m∠6 = 75°, then m∠2 = 75°!

The perimeter of the figure is 4(π + 9)ft.

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.

Given is a 2 - D figure as shown in the figure attached.

We can write the perimeter as -

P = P{rectangle} + P{semicircle}

P = 2(10 + 8) + (4π)

P =  (4π) + (36)

P = 4(π + 9)

Therefore, the perimeter of the figure is 4(π + 9)ft.

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\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

The quotient will be :

Remainder :

Solution is in attachment ~

Answer:

\(1828 \div 56 \\ = 32\)

\(remainder = 36\)

Please refer the attachment for step by step explanation

Hope this helps you.

Let me know if you have any other questions :-):-)

Answer and Step-by-step explanation:

90ft = a

55ft = b

50ft = c

Plug into equation.

\(50^{2} = 90^{2} + 55^{2} - 2(90)(55)cosC\\\\2500 = 11125 - 9900(cosC)\\\\-8625 = -9900(cosC)\\\\0.8712 = cosC\\\\cos^{-1} (0.8712) = C\\\\29.4\)

29.4° is the answer.

For question 3.) The three ratios for the marked angle would be =9.45:sin90°, 5:sinB, 8:sinA

For question 3.)

To determine the three ratios, the sine rule needs to be obeyed and the formula is written below as follows;

Sine rule:

a/sinA = b/sinB = c/sinC

where;

a = 8

A = sinA

b = 5

B = SinB

c = 9.45

C = Sin 90°

The three ratios;

= 9.45:sin90°; 5:sinB; 8:sinA

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Answer:

sorry I wish I could it help you but if you have any other question let me know

Answer:

1.4/0.21= 140/21= 20/3

Step-by-step explanation:

Answer:

20:3

Step-by-step explanation:

decimal points can't be ratios so we have to convert to whole numbers:

so 1.4:0.21 becomes:

140:21

after simplifying fully( i divided both sides by 7) we come to 20:3.

The estimated quοtient οf 19.7 ÷ 3 is 6.

Cοmpatible numbers are numbers that are easy tο wοrk with mentally, especially when dοing arithmetic calculatiοns. They are οften used in estimatiοn and rοunding.

Using cοmpatible numbers can save time and reduce errοrs in calculatiοns, especially when wοrking with large οr cοmplicated numbers.  

Here we have 19.7 ÷ 3  

Write the cοmpatible numbers that are clοse tο 19.7 and divisible by 3 easily

The numbers are clοse tο 19.7 are 18 and 21

=> 18 ÷ 3 = 6

=> 21 ÷ 3 = 7

Since 18 is clοse tο 19.7 mοre than 21

Hence, we can estimate the quοtient οf 19.7 ÷ 3 as 6

Therefοre,

The estimated quοtient οf 19.7 ÷ 3 is 6.

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Answer:

= 0.312

Step-by-step explanation:

Solution:

We have the equation:

5 ÷ 16 = 0.312

Calculated to 3 decimal places.

   0. 3 1 2

1 6 5. 0 0 0

 − 0      

   5 0    

 − 4 8    

       2 0  

   − 1 6  

       4 0

     − 3 2

               8

Answer:

D

Step-by-step explanation:

\(\sqrt{x}\) ≤ 2  is the graph D.  Only values greater than or equal to 0 and less than or equal to 4 satisfy this inequality.  

The probability that a single randomly selected can contain 11.9 ounces or less is 0.179.

B. The probability that a randomly selected can contain 11.9 ounces or less can be calculated using the normal distribution. Specifically, we can use the Cumulative Distribution Function (CDF) to find the probability that a randomly selected can will contain 11.9 ounces or less.

We know that the mean of the cans is 12 ounces with a standard deviation of 0.4 ounces. We can use the Z-score to calculate the probability. The Z-score is equal to (11.9 - 12) / 0.4 = -0.25. We then use the Z-score to calculate the probability.

Specifically, we can use the CDF to calculate the probability that a randomly selected can will contain 11.9 ounces or less. The CDF for the normal distribution is given by

P(X ≤ x) = ½[1 + erf(x - μ/σ√2)].

When we plug in the Z-score of -0.25 into the equation, we get

P(X ≤ 11.9) = ½[1 + erf(-0.25)] = 0.179. Therefore, the probability that a single randomly selected can contain 11.9 ounces or less is 0.179.

For the quality control inspector, we can use the sample mean to calculate the probability that the cans will contain 11.9 ounces or less. Specifically, if the sample mean is 11.9 ounces or less, then the probability that the cans will contain 11.9 ounces or less is 1.

If the sample mean is greater than 11.9 ounces, then we can use the normal distribution to calculate the probability. Specifically, we can use the Z-score to calculate the probability. The Z-score is equal to (11.9 - sample mean) / 0.4. We then use the Z-score to calculate the probability using the CDF.

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The percentage  of people that eat fruits and vegetables and abstain from smoking, but do not partake in physical activity is option d: 10%.

What is the percent in a Venn diagram about?

The common aspect of this Venn diagram shows the percentage that has the respondents or class that is been classified into groups.

For one to be able to calculate the percentage that stands for the amount of food in classified into the groups, we must need to find the sum of group and group . Then subtract that rate from percent.

In the case above, it need no calculation because in the diagram attached, the percentage is shown to be the shaded portion,

Hence, The percentage  of people that eat fruits and vegetables and abstain from smoking, but do not partake in physical activity is option d: 10%.

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Answer:

x= y+2/3+4

Step-by-step explanation:

Answer:

$26.50

Step-by-step explanation:

2(3)=6

8.50 + 12.00+ 6= 26.50

Answer:

A = 19

Step-by-step explanation:

A - 6 = 13

19 - 6 = 13

A = 19

I hope this helps!

Answer:

19

Step-by-step explanation:

13 + 6 = 19

19 - 6 = 13

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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Answer:

11-9=2 then, 2^3=8 , finally 8X2=16

Step-by-step explanation:

remember order of operations

Answer:

ok

Step-by-step explanation:

ok