Working out diameter and radius from circumference. How.

For a given trapezium ABCD, measure of angle [tex]D = 52\°[/tex].

" An angle is defined as when two rays meet at a common point known as vertex."

According to the question,

Given trapezium ABCD,

Measure of angle [tex]BAD= 128\°[/tex]

Measure of angle [tex]ABC= 126\°[/tex]

Measure of angle [tex]BCD= 54\°[/tex]

Sum of all the interior angles in a trapezium is equal to [tex]360\°[/tex].

Therefore,

[tex]\angle ABC + \angle BCD +\angle CDA + \angle DAB = 360\°\\\\\implies 126\°+54\°+ \angle CDA + 128\°=360\°\\\\\implies \angle CDA = 360\° - 308\°\\\\\implies \angle CDA = 52\°[/tex]

Hence, Option (A) is the correct answer.

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Answer:

multiply 2/5 by 4

Step-by-step explanation:

When we divide fractions, we use copy dot flip

2/5 ÷ 1/4

Copy dot flip

2/5 * 4/1

For this case we must find the quotient of the following expression:

[tex]\frac {\frac {2} {5}} {\frac {1} {4}} =[/tex]

Applying double C we have:

[tex]\frac {2 * 4} {5 * 1} = \frac {8} {5}[/tex]

This is equivalent to multiplying the following: [tex]\frac {2} {5} * 4 = \frac {8} {5}[/tex]

Answer:

OPTION A

Answer:

Answers are:

The value of both expressions when t=3 is 32.

The the value of both expressions when t=3 is 24.

The two expressions are equivalent.

Step-by-step explanation:

These answers are 100% correct. I just finished my quiz. I hope this helps

Please mark me brainlyest :)

The correct statements are that, both the equations are equivalent when the value of t is taken 3 and The value of both the equations is 24 when t is taken as 3.

So, the correct options that match the statement above are E and F.

Hence, the correct options are E and F that the equations are of both the values when t is 3 is obtained as 24. And both the expressions are equivalent when t is taken as 3.

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The base of the exponential expression 4^5 is 4.

The base of an exponential expression refers to the number being raised to a power.

In the exponential expression 4 to the power of 5, the base is 4 because it is the number being multiplied by itself 5 times.

Therefore, the base of the exponential expression 45 is 4.

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Answer:

A.

Step-by-step explanation:

Answer:

C. 5 feet

Step-by-step explanation:

If a wave with a height of 5 feet and a wavelength of 10 feet has a wave base of 5 feet.

B = x/2 = 10ft/2 = 5 feet

Answer:

i cant see the picture

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The scale factor is the ratio of the corresponding sides of the image to the original, that is

scale factor = [tex]\frac{CA'}{CA}[/tex] = [tex]\frac{4+16}{4}[/tex] = [tex]\frac{20}{4}[/tex] = 5

Answer:

I believe its B

I hope this helped :)

option C.

The statement that best describes a square is: A special rectangle that has four sides of equal length. This statement aligns with the definition of a square within the field of geometry, where a square is understood as a type of rectangle with all sides being the same length. Therefore, the correct answer is C. A special rectangle that has four sides of equal length.

A square indeed has four right angles, similar to a rectangle. By extension, it has congruent opposite sides and equal angles, but the defining feature that differentiates a square from other rectangles is the fact that all four sides are of equal length. The concept of rectangles forming squares can be seen in the given reference, implying that equal rectangles can be arranged to form a square - a concept important in understanding how a square is a special case of a rectangle.

To solve this question, we must use the cosine rule:

cos(A) = (b^2 + c^2 - a^2)/2bc, where A is the angle you want to find, a is the side opposite that angle, and b and c are the other two sides of the triangle.

Given that we know that a = 6, b = 12, c = 14, we can substitute these values into the formula to get:

cos(A) = (12^2 + 14^2 - 6^2)/2(12)(14)

cos(A) = (144 + 196 - 36)/336

cos(A) = 304/336

cos(A) = 19/21

A = cos-1(19/21)

A = 25° (to the nearest degree)

Answer:

x = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Using the rules of logarithms

• log x + log y ⇔ log(xy)

• [tex]log_{b}[/tex] = n ⇔ x = [tex]b^{n}[/tex]

Given

ln 2x + ln 2 = 0

ln(2x × 2) = 0

ln 4x = 0

4x = [tex]e^{0}[/tex] = 1 ( divide both sides by 4 )

x = [tex]\frac{1}{4}[/tex]

Answer:

g(x) = 1/2*(4)^(–x)          and

g(x) =1/2*(1/4)^(x)

Please, see attached picture.

Step-by-step explanation:

Your full question is attached in the picture below

To easily solve this problem, we can graph each equation and see, which one represents a reflection of the function over the y axis.

See, second image.

The answers are

g(x) = 1/2*(4)^(–x)          and

g(x) =1/2*(1/4)^(x)

Answer:

22.34 km²

Step-by-step explanation:

Here we have a circle whose diameter is 5  1/3 km.  As an improper fraction, that's 16/3 km.  Half that, or 8/3 km, is the radius.

The area of a circle is A = πr², where r is the radius.

In this case, the area is A = π(8/3 km)², or (64/9)π km², or 22.34 km² (same as first answer choice).

Answer:

(1.0)

Step-by-step explanation:

we know that

The scale factor of the dilation is 0.25 ----> given problem

The coordinates of point A(-5,-3) and F(3,1)

step 1

Find the x-coordinate of point A'

The horizontal distance between A and F is equal to

AFx=3-(-5)=8

The horizontal distance after dilation between A'F is equal to

A'F=0.25*8=2

so

the x-coordinate of vertex A' is equal to the x-coordinate of F minus the horizontal distance after dilation A'F

A'x=3-2=1

step 2

Find the y-coordinate of point A'

The vertical distance between A and F is equal to

AFy=1-(-3)=4

The vertical distance after dilation between A'F is equal to

A'Fy=0.25*4=1

so

the y-coordinate of vertex A' is equal to the y-coordinate of F minus the vertical distance after dilation A'F

A'y=1-1=0

therefore

The coordinates of vertex A of the image is (1.0)

Answer:

B = 58.9

Step-by-step explanation:

We are given that a triangle ABC has two side lengths of 28 ft. and 24 ft. with angle C measuring 91°. We are to find the measure of angle B.

AB = 28 ft

AC = 24 ft

For this, we will use the sine formula:

[tex]\frac{sin B}{24} = \frac{sin91}{28}[/tex]

[tex]sin B = \frac{sin91 \times 24}{28}[/tex]

[tex] sin B = 0 . 8 5 7 [/tex]

[tex] B = sin' 0 . 8 5 7 [/tex]

B = 58.9

Answer:

17/20

Step-by-step explanation:

To find the simplest form of 0.85 you need to turn it into a fraction.

To turn it into a fraction you put 85 over 100 since 0.85 is in the hundredths place.

85/100 can be simplified to 17/20 because 85/5 is 17 and 100/5 is 20

Answer:

17/20

Step-by-step explanation:

The simplest form of a number is a fraction. .85 as a fraction is 85/100. Simplifying this into 17/20 puts it into its simplest form.

[tex]\bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{3}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{3-3}{5-(-4)}\implies \cfrac{0}{5+4}\implies \cfrac{0}{9}\implies 0[/tex]

Answer:

b  0

Step-by-step explanation:

To find the slope between 2 points

m= (y2-y1)/(x2-x1)

   = (3-3)/(5--4)

   = (3-3)/(5+4)

   = 0/9

  =0

The slope is 0

Answer:

56

Step-by-step explanation:

75% of 75 tries = 0.75×75 = 56.25

Rounding, he can expect to block 56 shots.

Answer:

(0,∞)

Step-by-step explanation:

The problems tells us to find the range of the function

f(x)=2*(1/4)^x

after it has been reflected over the y-axis

This means

g(x) = 2*(1/4)^(-x)

To quickly find the answer, we can plot the equation and examine the range in the graph.

The range of both functions is the same

(0,∞)

See attached picture

Answer:

x6 − x3 − 20 = (x3)2 − x3 − 20 = (x3 + 4)(x3 − 5)

Step-by-step explanation:

In this trinomial, the exponent of the first term, 6, is double the exponent in the second term, 3. And, the third term contains no variables. So, we can factor the expression as we would a quadratic, but treating x3 as if it were x:

Answer:

(x³ - 5)(x³ + 4)

Step-by-step explanation:

Consider the factors of the constant term (- 20) which sum to give the coefficient of the x³ term (- 1)

The factors are - 5 and + 4, since

- 5 × 4 = - 20 and - 5 + 4 = - 1, hence

[tex]x^{6}[/tex] - x³ - 20 = (x³ - 5)(x³ + 4)

Answer:

-1/25

Step-by-step explanation:

-a^-2

-(-5)^-2

=-1/25

Answer:

380.13

Step-by-step explanation:

area= (pi)x(r^2)

pi times r squared

Answer:

380 m^2 to the nearest whole number.

Step-by-step explanation:

That would be 3.14 * 11^2

= 380 .

Answer:

40

Step-by-step explanation:

highest=2(lowest)+7

Replace the variables here:

87=2(lowest)+7

minus 7 on both sides

80=2(lowest)

divide both sides by 2

40=lowest

Answer:

x = 7

Step-by-step explanation:

Just try all the choices and see which one gives a valid answer

​ 4x+7≥35 ​

x = 6 : 4 (6) + 7 = 31 is NOT ≥35 (not valid)

x = 7  : 4 (7) + 7 = 35 IS ≥35 (valid) (ANSWER)

x = 3 : 4 (3) + 7 = 19 is NOT ≥35 (not valid)

x = 0 : 4 (0) + 7 = 7 is NOT ≥35 (not valid)

Answer:

x = 7

Step-by-step explanation:

Just try all the choices and see which one gives a valid answer

​ 4x+7≥35 ​

x = 6 : 4 (6) + 7 = 31 is NOT ≥35 (not valid)

x = 7  : 4 (7) + 7 = 35 IS ≥35 (valid) (ANSWER)

x = 3 : 4 (3) + 7 = 19 is NOT ≥35 (not valid)

x = 0 : 4 (0) + 7 = 7 is NOT ≥35 (not valid)

Answer:

(x - 8)^2 + (y - 4)^2 = 16.

Step-by-step explanation:

The standard form can be written as:

(x - a)^2 + (y - b)^2 = r^2 where (a, b) is the center and r = the radius.

So here we have a = 8, b = 4 and r = 4.

(x - 8)^2 + (y - 4)^2 = 4^2

(x - 8)^2 + (y - 4)^2 = 16.

The vertices of the ellipse (10, 0), (-10, 0), (0, 10), and (0, -10) can be determined using the center and major axes of the ellipse.

The vertices of the ellipse are at (10, 0), (-10, 0), (0, 10), and (0, -10). To find the vertices of an ellipse, you use the major and minor axes that pass through the center of the ellipse. In this case, the center is (4.619, 5.425), and the major axes are inclined at an angle of 128° 51' to the x-axis.

To find the product of two expressions, we use the distributive property and multiply each term from the first expression with each term from the second expression, then combine the like terms.

The product of[tex](3a + 2)(4a^2 - 2a + 9) is 12a^3 - 6a^2 + 23a + 18.[/tex]

To find the product of two binomials, you can use the distributive property. In this case, you multiply each term in the first binomial, 3a and 2, by each term in the second binomial, 4a^2, -2a, and 9, and then combine like terms.

[tex](3a + 2)(4a^2 - 2a + 9) = 3a * 4a^2 + 3a * (-2a) + 3a * 9 + 2 * 4a^2 + 2 * (-2a) + 2 * 9[/tex]

Now, perform the multiplications:

[tex]12a^3 - 6a^2 + 27a + 8a^2 - 4a + 18[/tex]

Combine like terms:

[tex](12a^3 - 6a^2) + (27a - 4a) + 1812a^3 - 6a^2 + 23a + 18[/tex]

So, the product of[tex](3a + 2)(4a^2 - 2a + 9)[/tex]is indeed[tex]12a^3 - 6a^2 + 23a + 18.[/tex]

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Answer:

Rebecca has 18 nickels and 27 dimes

Step-by-step explanation:

Let x be the number of nickels Rebecca has, then 45-x is the number of dimes she has.

The total value of Rebecca's coins is $3.60.

1 nickel - 5 cents

x nickels - 5x cents

1 dime - 10 cents

45-x dimes - 10(45-x) cents

Total x nickels and 45-x dimes is 5x+10(45-x) cents that is $3.60=360 cents. So,

5x+10(45-x)=360

5x+450-10x=360

5x-10x=360-450

-5x=-90

5x=90

x=18

45-x=45-18=27

Answer:

P(2)=0 then x-2 is a factor of P(x)

Step-by-step explanation:

To see if (x-2) is a factor just plug in 2 for x into the polynomial expression.

2(2)^3-3(2)^2-17(2)+30

2(8)-3(4)-34+30

16-12-34+30

4-34+30

-30+30

0

Since P(2)=0 then x-2 is a factor

Answer:

(-4qr)^4

Step-by-step explanation:

(-4qr)(-4qr)(-4qr)(-4qr)

There are 4 sets of -4qr being multiplied together

(-4qr)^4

Answer:

x = 1

Step-by-step explanation:

ln x + ln x = 0

2ln x = 0

ln x = 0

recall ln x = [tex]log_{e}[/tex]x

so equation becomes

[tex]log_{e}[/tex]x = 0

or [tex]e^{0}[/tex]=x

since anything raised to the power of zero = 1

x = 1

Answer:

x = 1

Step-by-step explanation:

We are to find the solution of the following logarithmic equation:

[tex] ln ( x ) + l n ( x ) = 0 [/tex]

We will add the similar elements to get:

[tex] 2 l n ( x ) = 0 [/tex]

Dividing both sides by 2 and simplify to get:

[tex] \frac { 2 l n ( x ) } { 2 } = \frac { 0 } { 2 } [/tex]

[tex]ln(x)=0[/tex]

Applying the rule [tex]a=log_b(b^a)[/tex] to get:

[tex]0=ln(e^0)=ln(1)[/tex]

[tex]ln(x)=ln(1)[/tex]

Here the logs have the same base, so:

x = 1