Find measure of angle 2

Answer:

The correct answers are 4A+B, 1.5B, 12A

Step-by-step explanation:

The area of the whole figure is 4A+B cm²

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

The space enclosed by the boundary of a plane figure is called its area.

The area of a figure is the number of unit squares that cover the surface of a closed figure.

Given that, a figure having the area of one of the small right triangles outlined in blue is A cm² while the area of the square outlined in red is B cm²

The total area = the sum of the area of the 4 triangles and the square,

= A + A + A + A + B = 4A + b

Hence, the area of the whole figure is 4A+B cm²

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The complete question is attached

Answer:

8/19

Step-by-step explanation:

Total = 5 + 6 + 8 = 19

P(blue) = 8/19

Or 0.4210526316

Answer: The radius of the circle in 11

Final answer:

The equation is in the standard form (x - h)² + (y - k)² = r², where r is the radius. Thus, the square root of the constant term 121 would give the radius, which is 11.

Explanation:

To find the radius from an equation of a circle in the form (x - h)² + (y - k)² = r², where (h, k) is the center of the circle, and r is the radius, we need to compare it to the given equation.

As per the standard form, the number on the right side of the equation is r², the square of the radius.

We have (x - 3)² + (4 + 4)² = 121, which can be written as (x - 3)² + (8 - 0)² = 121, considering (3,0) as the center of the circle, the radius would be the square root of 121, which is 11.

Answer:

y=1/2-3

Step-by-step explanation:

x-2y=6

-2y=-x+6

y=1/2-3

or

-2y=6

y=-3

x=6

Answer:

Step-by-step explanation:

To find slope you have to take y2-y1 over x2-x1

y2=your second y poiny

y1=first y point

x2=second x point

x1=first x point

Since it is minus a negative you get to change it to a plus sign, because they cancel each other out.

3 + 7  

____

-4-0

10/-4

This isn't quite simplified, so you find a common factor for the numerator (top number) and the denominator (bottom number). You should note the number has to go into both numbers, not just one. The largest common factor would be 2 in this case.

10/2=5

-4/2=-2  

Now your simplified answer would be 5/2  

The slope of the line will be "[tex]-\frac{5}{2}[/tex]".

The given points are:

The slope (m) will be:

= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

By substituting the given values, we get

= [tex]\frac{3-(-7)}{-4-0}[/tex]

= [tex]\frac{3+7}{-4}[/tex]

= [tex]-\frac{10}{4}[/tex]

= [tex]-\frac{5}{2}[/tex]

Thus the above slope is right.

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Answer:

False. Squaring any rational, whole number, will always give you a even number. So if you add one to the number, you will get a odd number.

The statement is false.

When an integer is multiplied by itself, the resultant number is known as its square number. Basically, a square number is a number that is obtained by the product of two same numbers. In geometry, the area of a square with 'n' as the side length (where n is an integer) is the finest example of a square number.

When an integer is multiplied by the same integer, the resultant number is known as a square number.

examples of square numbers.

let the number be x.

Squaring a number = x²

adding 1 = x² + 1

let take the number 2

=2² + 1 = 4+ 1 = 5

if we take 3

=3² + 1 = 9+1= 10

so, if the number if odd then the answer will be even otherwise odd.

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Answer:

V= pi.r².h/3

=22/7×2.5²×10/3

=65.47

Step-by-step explanation:

Answer:15

15

7 cupcakes=17.5

40-17.5=22.5

donuts are 1.50

22.5 divided by 1.5 is 15

The maximum number of donuts Cooper can buy is 15.

Given that, the cost of cupcakes = $2.50 and the cost of donuts = $1.50.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Let the number of cupcakes be x and the number of donuts be y.

Cooper wans to buy a minimum of 18 cupcakes and donuts altogether

That is, x+y≥18

Cooper has $40 to spend on cupcakes and donuts.

So, 2.50x+1.50y≤40

Cooper decided to buy 7 cupcakes

Then number of donuts will be

2.50(7)+1.50y≤40

⇒17.5+1.50y≤40

Subtract 17.5 on both the sides of a inequality, we get

17.5+1.50y-17.50≤40-17.50

⇒1.50y≤22.5

Divide 1.50 on both the sides of a inequality, we get

1.50y/1.50≤22.5/1.50

⇒y≤15

Therefore, the maximum number of donuts Cooper can buy is 15.

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Answer:

True

Step-by-step explanation:

Meters, centimeters, inches, miles, etc. are units of length.

Final answer:

To find the length of the hypotenuse in a right triangle with legs of 7 ft and 10 ft, we use the Pythagorean theorem, resulting in a hypotenuse of approximately 12.21 feet.

Explanation:

The student is asking about the length of the hypotenuse in a right triangle where one leg is 7 ft and the other is 10 ft. To find the hypotenuse, we use the Pythagorean theorem which states a² + b² = c², where a and b are the lengths of the legs of the triangle, and c is the length of the hypotenuse.

For this triangle, the calculations would be:

a² = 7² = 49

b² = 10² = 100

a² + b² = c²

49 + 100 = c²

149 = c²

c = [tex]\sqrt{149[/tex]

c = 12.21 ft (rounded to two decimal places)

Therefore, the length of the hypotenuse of the triangle is approximately 12.21 feet.

Answer: 8 First class tickets

Step-by-step explanation:

You can set up a system of equations for this problem. Let x = number of coach tickets and y = number of first class tickets. Then:

330x + 1220y = 12730    (cost of coach tickets plus cost of first class tickets is total budget)

x + y = 17    (number of coach tickets plus number of first class tickets is total number of people)

Solve the second equation for y to get y = 17 - x, then plug that into the first equation and solve for x:

330x + 1220(17 - x) = 12730

330x + 20740 - 1220x = 12730

-890x + 20740 = 12730

-890x = -8010

x = 9

Sarah bought x = 9 coach tickets. Plug that into the second equation and solve for y:

9 + y = 17

y = 8

Sarah bought y = 8 first class tickets.

Answer:

6  first class 5 coach

Step-by-step explanation:

msg me if you need me to explain it

Answer:

Diego and Mai are thinking of the slopes of the graphs!

Step-by-step explanation:

The slopes of the graphs are as follows:

Right: Negative slope

Center: Zero slope

Left: Positive slope

Therefore, you can conclude that the graphs are organized in order of slope.

(Let me know if you need more explanation as to why we know the slopes are positive, negative, zero, etc.)

Answer:

84

Step-by-step explanation:

4 test grades with an average of 80 would have a total of 80x4=320.

75+83+78=236

320-236=84

Answer:

all real number

Step-by-step explanation:

since h(x) is polynomial function

Final answer:

The domain of the function h(x)=x-4 is all real numbers, as there are no restrictions on the value of x.

Explanation:

The domain of a function represents all the possible values that can be input into the function. For the function h(x)=x-4, there are no restrictions on the value of x, since x represents a real number and there are no denominators or square roots to consider.

Therefore, the function h(x)=x-4 is defined for all real numbers, making the domain of h to be all real numbers, which is often denoted by the symbol (-∞, +∞) or simply written as 'all real numbers'.

A. 45 is your answer

The third angle is 45°.

Option A is the correct answer.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

The two angles in the triangle are 80 and 55.

Now,

The sum of all the angles in the triangle is 180.

Third angle = x

So,

80 + 55 + x = 180

135 + x = 180

Subtract 135 on both sides.

x = 180 - 135

x = 45

Thus,

The third angle is 45°.

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Answer: Zero

Step-by-step explanation:

A negative slope is a linear line that is sloped from the upper left to the bottem right. A positive is the oppisate and an undefined line is vertical. A zero line is horizontal.

The word describes the slope of the line is zero

The slope of the line is defined as its inclination towards the x axis.

In the given figure,

So, the slope will be zero

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Answer:

D. 216 cubic centimetres.

Step-by-step explanation:

The answer is D, because 6 to the 3rd power is 216.  therefore, if the side length is 6, the answer is 216.

Answer:

A.4.9 x 5.1 x 5.0

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

If you subtract 3 from both sides then subtract -x/2 from both sides your equation should be simplified down to

-x/2 = -4. if you multiply the 2 on both sides the equation is -x=-8. but now you have to divide by negative 1 on both sides and you get x=8

Answer:

Step-by-step explanation:

hello :

(4x+3)(2x-5)=0

4x+3=0 or 2x-5=0

x= -3/4 or x=5/2

(4x+3)(2x-5) =  8x²-14x-15

Step-by-step explanation:

Given,

(4x+3)(2x-5)

To find the value of the given multiplication.

Formula

(a+b)(c+d)

= a(c+d)+b(c+d) = ac+ad+bc+bd

Now,

(4x+3)(2x-5)

= 4x(2x-5)+3(2x-5)

= 8x²-20x+6x-15

= 8x²-14x-15

Answer:

78.5%

Step-by-step explanation:

Area of a 100ft radius circle = 628sqm

Area of rectangle = 800sqm

= 172sqm difference in size

if 800 sqm = 100%

Then 600 sqm = 3/4 = 75%

60sqm =3/40 = 7.5%

6sq m =3/400 =0.75%

2 sq m = 0.25%

30sqm = 1/2 of 7.5%= 3.75

3.75-0.25 = 3.50%

3.50% + 75 = 78.5%

Answer:

A: Raquel’s data are more likely closer to $3.42 than Van’s data are to $3.78

Step-by-step explanation:

Given that Raquel’s standard deviation is less than Van's standard deviation, then Raquel’s data are more likely closer to Raquel’s mean than Van’s data are to Van's mean.

Answer:

A

Step-by-step explanation:

Raquel’s data are most likely closer to $3.42 than Van’s data are to $3.78.

Given Information:  

Number of lithium batteries = n = 16

Mean life of lithium batteries = μ = 645 hours

Standard deviation of lithium batteries = σ = 31 hours

Confidence level = 95%  

Required Information:  

Confidence Interval = ?

Answer:  

[tex]CI = 628.5 \: to \: 661.5 \: hours[/tex]

Step-by-step explanation:  

The confidence interval is given by

[tex]CI = \mu \pm t_{\alpha/2} (\frac{\sigma}{\sqrt{n}})[/tex]

Where μ is the mean life of lithium batteries, σ is the standard deviation, n is number of lithium batteries selected, and t is the critical value from the t-table with significance level of

tα/2 = (1 - 0.95) = 0.05/2 = 0.025

and the degree of freedom is

DoF = n - 1 = 16 - 1 = 15

The critical value (tα/2) at 15 DoF is equal to 2.131 (from the t-table)

[tex]CI = 645 \pm 2.131(\frac{31}{\sqrt{16}})[/tex]

[tex]CI = 645 \pm 2.131(7.75})[/tex]

[tex]CI = 645 \pm 16.515[/tex]

[tex]CI = 645 - 16.515 \: and \: 645 + 16.515[/tex]

[tex]CI = 628.5 \: to \: 661.5 \: hours[/tex]

Therefore, the 95% confidence interval is 628.5 to 661.5 hours

What does it mean?

It means that we are 95% confident that the mean life of 16 lithium batteries is within the interval of (628.5 to 661.5 hours)

Answer:

give him brainliest plz

Step-by-step explanation:

Answer:58

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

since it equals to 90 you subtract that with 32

which gives you 58

Answer

206.02

Step-by-step explanation:

r=d/2

=16.2/2=8.1

3.12*8.1*8.1=206.0154

to the nearest hundred=206.02

The area of the circle with a diameter of 16.2 inches is approximately 206.24 square inches.

The area of a circle can be found using the formula A = πr^2, where π represents the mathematical constant pi and r is the radius of the circle. Since the diameter of the circle is given as 16.2 inches, we can find the radius by dividing the diameter by 2: r = 16.2 / 2 = 8.1 inches. Now we can plug in this value into the formula to find the area: A = 3.14 * (8.1)^2 = 206.2446 square inches. Rounding this to the nearest hundredth, the area of the circle is approximately 206.24 square inches.

=(2p - 29)/4= 4

=2p - 29 = 16

=2p = 16+29

=2p = 45

=p= 45/2

= p=22.5

Hope this will help u mate :)

Answer:

p=22.5

Step-by-step explanation:

Answer:

Exponential Decay

Step-by-step explanation:

The description that matches the function represented by the values is A. exponential decay.

Consider the function: [tex]y = a(1\pm r)^m[/tex]

where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is plus sign, so there is exponential growth happening by r fraction or 100r %

If there is negative sign, so there is exponential decay happening by r fraction or 100r %

The given function is

[tex]y = a(1\pm r)^m\\972 = 1(1\pm r)^m[/tex]

The table shows the exponential decay function.

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Answer:

[tex]c = 1[/tex]

Step-by-step explanation:

The given expresion is

[tex]2 {x}^{2} + 3x + c[/tex]

For this expression to be factorable using integers, we must find factors of 2c, that will sum up to 3.

We know 2,c are factors of 2c

Their sum should be 3.

[tex]c + 2 = 3[/tex]

This implies that:

[tex]c = 3 - 2 \\ c = 1[/tex]