Find all the missing elements.Round to the nearest tenth.a = 10a b = 7C = 6bBoA = [ ? 1B = [ ]C = [ 1Enter

Find all the missing elements.Round to the nearest tenth.Сa = 10a аb = 7C = 6bBсАoA = [ ? 1°B = [ ]C = [ 1°Enter

Answers

Answer 1

USING COSINE RULE

$\begin{gathered} \text{COS A=}\frac{b^2+c^2-a^2}{2bc} \\ \\ \text{where a=10, b=7 and c=6} \\ \text{COS A=}\frac{7^2+6^2-10^2}{2\times7\times6} \\ \text{COSA =}\frac{49+36-100}{84} \\ \text{COS }A=\text{ -0.17857} \\ A=\cos ^{-1}-0.17857 \\ A=100.286\approx100.3^0 \end{gathered}$

STEP 2

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Related Questions

3 6 9 12 15 18 21 24 27 30 is odd or even numbers?

Answers

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Find VX and the area of △UVW.

Answers

The length of VX is approximately 9.4 yd.

The area of the triangle is approximately 56.4 yd².

What is the Area of a Triangle?

The area of triangle = 1/2 * base * height.

To find the area of the triangle, we have to determine its height which is the length of VX.

Apply the sine ratio to find the length of VX:

sin 70 = opposite/hypotenuse

sin 70 = VX/10

10 * sin 70 = VX

VX ≈ 9.4 yd.

The area of triangle = 1/2 * base * height = 1/2 * 12 * 9.4

= 56.4 square yards

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proof that (x-1/x)(x^4/3+x^2/3) = x⅓(x²-1/x²)

Answers

The given polynomial solved as same as RHS is x^3/3(x^2- 1/x^2)

What is polynomial?

Polynomial is defined as the sum of variable terms in the form of k×x^n, where k is constant and x variable and n is an integer.

According to give data:

we have given a polynomial,

(x-1/x)(x^4/3+x^2/3) = (x^3/3)(x²-1/x²)

Take LHS

⇒ (x-1/x)(x^4/3+x^2/3)

⇒ (x^2-1/x)×(x^4 + x^2/3)

⇒ (x^2-1/x) x^2(x^2+1/3)

⇒ x^2/3x (x^2-1)(x^2+1)

⇒x^2/3x(x^4-1) ∴(a^2-b^2 = (a+b)(a-b))

multiply numerator and denominator by x

⇒x^3/3 (x^4-1/x^2)

⇒x^3/3(x^2- 1/x^2) = RHS

Hence, given problem has solved.

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the equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940. In this equation, a represents the average age and x represents the years since 1940. Estimate the year in which the average age of brides was the youngest

Answers

Answer:

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Step-by-step explanation:Please help me important question in image

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Answer:

The equation a=0.003x^2+21.3 models the average ages of women when they first married since the year 1940 in the United States. In this equation, a represents the average age and x represents the years since 1940. To estimate the year in which the average age of brides was the youngest, we need to find the minimum value of the quadratic function a=0.003x^2+21.3. This can be done by using the formula x=-b/2a, where b is the coefficient of x and a is the coefficient of x^2. In this case, b=0 and a=0.003, so x=-0/(2*0.003)=0. This means that the average age of brides was the lowest when x=0, which corresponds to the year 1940. The value of a when x=0 is a=0.003*0^2+21.3=21.3, so the average age of brides in 1940 was 21.3 years old. This is consistent with the historical data, which shows that the median age of women at their first wedding in 1940 was 21.5 years old. The average age of brides has been increasing since then, reaching 28.6 years old in 2021.

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Answers

The expression 1 2/5 + 2 2/3 using fifteenths is 3 + 6/15 + 10/15

How to rewrite the expression using fifteenths

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

1 2/5 + 2 2/3

3 + 2/5 + 2/3

To rewrite the expression using fifteenths, we multiply the numerator and the denominator of the fractions by the same number

In this case, we use 3 and 5

So, we have

3 + 2/5 * 3/3 + 2/3 * 5/5

Evaluate the products

3 + 6/15 + 10/15

Hence, the expression using fifteenths is 3 + 6/15 + 10/15

Answers

Answer:

Its Jo should have rounded the divisor to –6.I cant see Jo's error...but the correct way is this :

-41.71 rounds to -42

-6.03 rounds to -6

so the quotient is : -42/-6 = 7 <==Step-by-step explanation:

brainliest would be nice!

Answer:

Step-by-step explanation:

if im wrong im wrong dont yell at me

fill in the blanks on the Trapezoid

Answers

i’ll put the blanks in () so,,
2x+ 12 + (3y)
(2)x+(162)
x=(9)

I need help with my homework

Answers

To find the length of a line segment in a circle, use the formula $d = 2r$ $sin(t/2)$ , where r is the radius of the circle and t is the angle between the radii. The length of segment DE is $5$ units.

What is the formula for circle segment length?

We can use the similar triangles property to find the missing length of segment DE in the given figure. Because triangles ABD and CBE are similar, we can use a proportion to find the length of DE:

$CB/BE = AB/BD$

With the given values, we get:

$3/6 = 5/(5 + DE)$

When we simplify and solve for DE, we get:

$3(5 + DE) = 6 * 5 \s15 + 3DE = 30$

$3DE = 15 \sDE = 5$

Therefore, segment DE has a length of 5 units.

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As part of a survey, 2400 people were asked to name their favorite sport to watch. The table below summarizes their answers. This information is also presented
as a circle graph.
Find the central angle measure, x, for the Baseball slice in the circle graph. Do not round.
Sport
Football
Soccer
Baseball
Basketball
Hockey
Other
Percentage
of People
29%
9%
14%
8%
8%
Soccer
Baseball
Basketball
Football
Other
Hockey

Answers

The central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

Given that, a survey was conducted in which 2400 people were asked to name their favorite sport to watch and the table below shows their answers: Sport percentage of people are:

Football 29%

Soccer 9%

Baseball 14%

Basketball 8%

Hockey 8%

Other 32%

We need to find the central angle measure, x, for the Baseball slice in the circle graph.

For this, we need to use the formula that gives the central angle measure in degrees for a sector of a circle:

Central angle measure = (Percentage/100) × 360°

Now, using the above formula, we can calculate the central angle measure for each sport as shown below:

Football: (29/100) × 360° = 104.4°

Soccer: (9/100) × 360° = 32.4°

Baseball: (14/100) × 360° = 50.4°

Basketball: (8/100) × 360° = 28.8°

Hockey: (8/100) × 360° = 28.8°

Other: (32/100) × 360° = 115.2°

The sum of all central angle measures should be 360°, which is the measure of a full circle.

So we can check if the calculations are correct: 104.4° + 32.4° + 50.4° + 28.8° + 28.8° + 115.2° = 360°

We see that the sum is indeed 360°, so the calculations are correct. The central angle measure for the Baseball slice is 50.4°.

Therefore, the central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

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The following angles are supplementary to each other.

m∠C = (x + 19)° and m∠D = (3x − 19)°

Determine x.

60
45
38
19

Answers

Answer:

Step-by-step explanation:it gives you the answer chiices if you plug each number into x and then do the equation you will get 180

Answer: 45

Step-by-step explanation:

Did the test.

The perimeter of a rectangular garden is 294 feet. If the length of the garden is81 feet, what is its width?

Answers

Step-by-step explanation:

hope this helps you out some

The perimeter of a rectangular garden is 294 feet. If the length of the garden is81 feet, what is its

n The airplane passengers consist of 14 children and 70 adults. What is the ratio of children to adults, in simplest form? A. 1 to 5 C. 56 to 1 B. 1 to 6 D. 5 to 6

Answers

Answer: 1 to 5 (choice A)

===================================================

Work Shown:

14 children : 70 adults

14:70

14/14 : 70/14

1 : 5

The ratio of children to adults is 1 to 5

This means that for every child, there are 5 adults. In other words, there are 5 times as many adults.

what are the steps to solve this

Answers

Answer:

The equation of this line is y = -4.

Answer:

y=-4

Step-by-step explanation:

zero slope m=0

y-y1=m(x-x1)

y-(-4)=0(x-(-9))

y+4=0

y=-4

A portfolio has a value P(E, S), so that the value P is a function of E, the price of a Euro in Canadian dollars, and S, the level of the TSX stock index. Presently the portfolio is worth $207,000, while a Euro is $1.50 Canadian, and the index is S = 18,000. If the partial derivatives of P have values ∂P ∂E = 80,000, and ∂P ∂S = −20, what approximately will the portfolio value be if the price of a Euro goes down by 0.07 and the stock index goes down by 629?

Answers

Answer:

The new value of the portfolio would be $207,000 - $18,180 = $188,820

Step-by-step explanation:

Using the first-order partial derivatives, we can calculate the approximate change in the portfolio value due to changes in E and S using the formula:

ΔP ≈ ∂P/∂E * ΔE + ∂P/∂S * ΔS

where ΔE is the change in the price of a Euro and ΔS is the change in the TSX stock index.

Given that ∂P/∂E = 80,000 and ∂P/∂S = -20, and the changes ΔE = -0.07 and ΔS = -629, we can plug in the values and get:

ΔP ≈ 80,000 * (-0.07) + (-20) * (-629)

≈ -5,600 - 12,580

≈ -18,180

Therefore, the portfolio value is expected to decrease by approximately $18,180 if the price of a Euro goes down by $0.07 and the TSX stock index goes down by 629 points. The new value of the portfolio would be $207,000 - $18,180 = $188,820.

Latasha has a swimming pool that needs to be drained. Her pool holds9,934.6 gallons of water and will need to drain completely in 8.4 hours.What is the change in the water level per hour for Latasha's swimmingpool? Round your answer to the nearest hundredth.

Answers

Solution:

Given:

$\begin{gathered} Volume\text{ of pool}=9934.6gallons \\ Time=8.4hours \end{gathered}$

The change in water level per hour is;

$\begin{gathered} \frac{9934.6}{8.4} \\ =1182.69gallons\text{ per hour} \end{gathered}$

Therefore, the change in water level per hour is 1182.69 gallons per hour.

As part of a group exercise, four students each randomly selected 3 cards with angle measures written on them. The table shows the results. Which student selected angle measures that could form a triangle? A. Aella B. Aisha C. Ah Lam D.Andrew

Answers

Answer = A. Aella

Step-by-step explanation: Add 60, 25, and 95 degrees because that will equal 180 which is what the triangle equals.

Anyone know how to get the answer for central angle , 1/2 central angle , apothem, and area

Answers

The measure of a central angle of a decagon is 36 degrees.

the 1/2 central angle = 18 degrees

Apothem ≈ 16.93

Area of the decagon ≈ 931.15

How to find the central angle

The figure has ten sides hence a decagon

To find the measure of a central angle of a decagon, we need to use the formula:

Central angle = 360 degrees / number of sides

Substituting the value for a decagon, we get:

Central angle = 360 degrees / 10 sides

Central angle = 36 degrees

To find the 1/2 central angle, we simply divide the central angle by 2:

1/2 central angle = 36 degrees / 2

1/2 central angle = 18 degrees

To find the apothem, we use the formula:

Apothem = (Side length) / (2 x tan(180 / number of sides))

Substituting the given values, we get:

Apothem = (11) / (2 x tan(18 degrees))

Apothem ≈ 16.93

To find the area of the decagon, we first need to find the perimeter using the formula:

Perimeter = (Number of sides) x (Side length)

Perimeter = 10 x 11

Perimeter = 110

Now, we can use the formula for the area:

Area = (1/2) x Apothem x Perimeter

Area = (1/2) x 16.93 x 110

Area ≈ 931.15

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A circle with center 0 and radius 5 has a central angle X O Y . If m ˆ X Y = 60 ∘ , what is the length of chord X Y ? Round your answer to the nearest whole number.

Answers

Answer: 5

Step-by-step explanation:

As all radii of a circle are congruent, $\overline{OX} \cong \overline{OY}$, it follows that $\angle OXY \cong \angle OYX$.

Because arc XY measures 60 degrees, we also know that $m\angle XOY=60^{\circ}$, and thus triangle OXY is equilateral.

Hence, XY=5 because all sides of an equilateral triangle are congruent.

A circle with center 0 and radius 5 has a central angle X O Y . If m X Y = 60 , what is the length of

3.
1
y=x+3
1
slope: +: y-intercept: 3
4
B slope: 4; y-intercept: -3
1
slope: ; y-intercept: -3
D slope: 4; y-intercept: 3

PLEASE HELP ME

Answers

Answer:

Step-by-step explanation:

remember y=Mx+b where M is slope mad B is y intercept

solve the equation and justify each step using the algebraic properties of equality

Answers

Answer:

-5

Step-by-step explanation:

3x=-13-2

3x=-15

x=-5

Please help me with this question

Answers

The values of tht missing part of the triangle are;

A= 20.9°

a = 13.06

c = 33.6

What is sine rule?

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

To find side c

sinB/b = sinC/c

sin45.9/26.30 = sin113.2/c

csin 45.9 = 26.30 × sin113.2

0.718c = 23.90

c = 23.90/0.718

c = 33.6

Angle A = 180-(113.2+ 45.9)

angle A = 20.9°

sinA/a = sinB/b

sin20.9/a = 0.718/26.30

0.357 × 26.30 = 0.718a

a = 9.389/0.718

a = 13.06

Therefore A = 20.9°

a = 13.06

c = 33.6

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find the average rate of change of the function y=f(x)=1/(x-1)^2-8 with respect to x on the interval -2≤x≤0

Answers

Answer:

The average rate of change is (f(3)-f(0))/3=(7-0)/3=7/3.

Step-by-step explanation:

Why in these matrices are AB=BAnot equal? What is the logic behind them? (4 answers)For all square matrices Aand B of the same size, it is true that (A+B)2=A2+2AB+B2? (2 answers)Closed 6 years ago.Assume that Aand B are both n×n matrices, how would I prove that (A+B)2=A2+2AB+B2 for any n×n matrices?

Answers

The equation (A+B)2 = A2 + 2AB + B2 holds for any n×n matrices.

when the matrices A and B are equal is the expression AB=BA valid? This is due to the fact that if A and B are not equal, the outcome of their multiplication will be different.

For example, if A and B were two matrices of order 3×3, then AB would be a 3×3 matrix while BA would be a different 3×3 matrix.

This makes sense because the order of multiplication matters because matrix multiplication is not commutative. Even though all matrices have the same size, AB=BA does not hold for all of them, even when A and B are equal.

This is true. This is because a square matrix produces a matrix that is the same size and order when it is multiplied by itself. As a result, (A+B)2 = A2 + 2AB + B2 holds for any n×n matrices if A and B are both n×n matrices.

The distributive property of matrix multiplication can be used to demonstrate this. The equation (A+B)C = AC + BC holds, according to the distributive property, for any matrices A, B, and C. With the help of this, we can demonstrate that for every n×n matrix, (A+B)2 = A2 + 2AB + B2.

Start with the equation (A+B)2 = (A+B)(A+B). Using the distributive property, we can rewrite this as (A+B)2 = AA + AB + BA + BB. Next, we can simplify the right side of the equation to get (A+B)2 = A2 + 2AB + B2. Therefore, the equation (A+B)2 = A2 + 2AB + B2 holds for any n×n matrices.

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please help a brotha out and i'll give you brainliest

Answers

Answer:

First box: 15 * 10^10.

Second box: 300,000,000 meters per second.

Third box: 48 * 10^-13 meters.

Fourth box: 167 * 10^-29 meters.

Step-by-step explanation:

These should be correct! I put them in order from the top empty box to the bottom empty box!!!

Please mark brainliest if correct!!!

PLEASE HELP I WILL GIVE BRAINLIEST

Answers

Answer:

Do it in this order

Step-by-step explanation:

5 3 1 2 4 6

9.3% 1034 What is in scientific notation? 3.1 x 10"

Answers

Answer:

Please be more specific?

Step-by-step explanation:

I don't know what you are asking and the way you format the question is quite confusing.

3|x+3|−12=0
Step 3 of 4: Using the two equations found in Step 2, enter the solution set using set notation.

Answers

The solution set is X ∈{1, -7}

The set of values that satisfy a given set of equations or inequalities is known as a solution set. For example, the solution set for a set of polynomials over a ring is the subset on which the polynomials all vanish (evaluate to 0).

Given that 3(x+3) – 12 = 0

We have to find the solution set

3(x+3) – 12 = 0

3(x+3) = 12

X+3 = ±4

X + 3 = 4 or x + 3 = -4

X = 1 or x = -7

X ∈{1, -7}

Therefore the solution set is X ∈{1, -7}

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Oscar owns his own towing and auto repair service. He charges $45 for towing and $20 per hour, h, for labor. There is an additional charge for parts, p. Oscar uses this formula to determine the total cost, C , for towing and repairing a car. C = 45 + 20h + p What is the total cost, C, to tow and repair a car that requires four hours of labor and $109 worth of parts? Record your answer and fill in the bubbles on your answer document.

Answers

Answer:

I might be wrong but I think the answer Is 234!

I hope you do Great!!

Step-by-step explanation:

Find the measure of the missing angle

Help pls

Answers

Answer:

the answer is 51

Step-by-step explanation:

a triangle has 180 degree in total

180-124=56

73+56+x= 180

x= 51

Answer:

Step-by-step explanation:

Let the angle be xSum of two interior angles=exterior angle

➝x+73=124

➝x=124-73

➝x=51

The average price of a movie ticket in the United States from 1980 to 2000 can be modeled by the expression, 2.75+0.10x, where x is the number of years since 1980. Which part of the expression corresponds to the cost of movie tickets in 1980?

Answers

Answer:

$2.75

Step-by-step explanation:

Since x represents the number of years since 1980 to 2000 that means the ticket prices increase by 0.10 (or 10 cents) each year. This means the base price in 1980 was $2.75. To prove it, we would plug in the correct information into the expression. The number of years since 1980 would be 0 so we would plug in 0 for x. 2.75 + 0.10(0) = $2.75.

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