Find the length of a using
the Pythagorean Theorem.
B
8
a
C
A
6
Hint: a² + b² = c²
Round your answer to the nearest tenth

Answer:

254.34 mm²

Step-by-step explanation:

Diameter (d) = 18 mm

Radius (r) = d/2 = 18/2 = 9 mm

π = 3.14

Area of the circle

= πr²

= (3.14)(9)²

= 3.14 × 81

= 254.34 mm²

____________

Hope it helps ⚜

diameter= 18mm

the area of the circle

[tex]area = \frac{1}{4} \pi {d}^{2} [/tex]

[tex]a = \frac{1}{4} \times \pi \times {18}^{2} [/tex]

[tex]a = 254.469 \: {mm}^{2} [/tex]

hence, the area of the circle is 254.469 square millimeters.

Answer:

k = 15

Step-by-step explanation:

k + 45 = 60

k = 60 - 45

k = 15

Answer:

Step-by-step explanation:

Answer:

(-6,-4)

(-2,-4)

Step-by-step explanation:

Step 1. Plot points

Step 2. Reflection over x-axis (make "y" negative)

Reflection:

(-6,4) --> (-6,-4)

(-2,4) --> (-2,-4)

Answer:

6

Step-by-step explanation:

There is no perfect square root of 40 but when calculated it would be 6.33 which rounds down to 6.

The money account is doubled at an interest rate of 5.2 % compunded quarterly, that is, under the model of compound interest in a time period of about 3.5 years.

The compound interest takes into account the change of money deposited in time in contrast with the simple interest, which only takes the initial amount of money into account. Please notice that four quarters equals a year.

The compound interest formula is described below:

C = C' · (1 + r/100)ⁿ     (1)

Where:

If we know that C = 2 · C' and r = 5.2, then the doubling time is:

n = /㏒ C/C'/㏒ (1 + r/100)

n = ㏒ 2/㏒ 1.052

n ≈ 13.674

The money account is doubled at an interest rate of 5.2 % compunded quarterly, that is, under the model of compound interest in a time period of about 3.5 years. [tex]\blacksquare[/tex]

To learn more on compound interests, we kindly invite to check this verified question: https://brainly.com/question/14295570

Answer:

40%, 40%

Step-by-step explanation:

The % of shoppers that have an email account is

= 100 • (45+15)/150

= 40%

Same thing happens with the second question.

= 100•(45+15)/150

= 40%

Answer:

Absolute value is the magnitude of a real number regardless of sign. When you take the absolute value of something, it is the positive value of the number being evaluated

|21| = 21

also...

|−21| = 21

Step-by-step explanation:

Hope This Helps

Have A Great Day

~Zero~

Assuming $34.50 is the price after the 8% price increase, we can set up this equation (if 34.50 is the old price, scroll down):

34.50=[tex]\frac{108}{100} x[/tex]
Where x ( or 100/100 x) is the original price.
We can simply the fraction, or just multiply by 100 on both sides.

3450=108x

x=31.9444 (4 repeating).

If the old price is 34.50, then we can set up this equation:

34.50+ [tex](\frac{8}{100} *34.50)[/tex] = x

34.5 + 2.76 = x

x = 37.26

The new selling price would be $37.26.

Answer:

e. $44.20

Step-by-step explanation:

1. add all of the percentages together and subtract them by 100. this will give the percentage she wasted on food: 17%

2. convert 17% into a decimal: .17

3. multiply 260 by .17 this should give you 44.2

Answer:

136

Step-by-step explanation:

First you multiply 7•5 which is 35, and sense there is 2 squares with that unit, you multiply 35•2 which is 70. After that you get the middle value by multiplying 6•7, which is 42. Then you add 42+70, and that's 112. Now you have to find the area of the triangle, so you multiply 6•4, and that's 24, but sense there are 2 of them with the same unit you don't need to divide by 2. Then after that you add 112+24 and the total area is 136

Answer:

  136 square units

Step-by-step explanation:

A "net" is a map of the surfaces of the prism. If you cut it out and fold along the solid lines, you can shape it into the triangular prism it represents. The area of the net is the area of the prism.

As with any composite figure, its area can be found by decomposing it into parts whose area formulas you know. Here, the net can be cut along the horizontal lines to form a rectangle and two triangles.

__

The rectangle has an overall length of 5+6+5 = 16 units, and a width of 7 units. Its area is ...

  A = LW

  A = (16)(7) = 112 . . . . square units

Each triangle has a base of 6 units and a height of 4 units. Its area is ...

  A = 1/2bh

  A = 1/2(6)(4) = 12 . . . . square units

The composite figure shown has been decomposed into one rectangle and two triangles, so its total area is ...

  rectangle area + 2 × triangle area

  = 112 + 2×12 = 136 . . . . square units

The surface area of the triangular prism is 136 square units.

The logic network to control the lights on the staircase; has been designed as seen below.

The truth table for the required response of the question is;

SWITCH A        SWITCH B         SWITCH C            Y

0(OFF)               0(OFF)               0(OFF)               0(OFF)

0(OFF)               1(ON)                  1(ON)                 1(ON)

1(ON)                  0(OFF)               1(ON)                 1(ON)

1(ON)                  1(ON)                  0(OFF)              1(ON)

1(ON)                  1(ON)                  1(ON)                0(OFF)

The expression for the output Y in SOP form will be;

A ⊕ B ⊕ C = A⁻B⁻C + AB⁻C⁻ + A⁻BC⁻

That's the output expression for the XOR gate.

Thus, we can conclude that in the staircase wiring, higher output is obtained when two out of three of the inputs are different.

Read more about Logic Gates at; https://brainly.com/question/14458200

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Answer:

42 feet

Step-by-step explanation:

1 inch = 6 feet

  then multiply both sides by 7

7 inches = 42 feet

Answer:

9 Part-time employees

36 full-time employee

Step-by-step explanation:

20% multiply by 45 = 9

80% multioly by 45 =36

therefore to check if your answers are correct add 9 + 36 which gives you 45, the total number of employees in each company's four department.

Answer:

The company has 144 full-time employees and 36 part-time employees.

Step-by-step explanation:

The company has 144 full-time employees and 36 part-time employees because you have to do .20*45 to get 9 part-time employees per department. Then you can do 45-9 to get 36 full-time employees per department or you can do .8*45, either way is fine. Then you have to multiply 36 by 4 and 9 by 4 to get 144 full-time employees and 36 part-time employees.

Answer:

No

Step-by-step explanation:

Plugging in n=0 into the equation gets us:

7(0) = 7

0 = 7

This says that 0 = 7 which is not true

Answer:

To find the directional derivative in the direction of the vector (1,2), we need to find a unit vector in the direction of the vector (1,2). We simply divide by the magnitude of (1,2). u=(1,2)∥(1,2)∥=(1,2)√12+22=(1,2)√5=(1/√5,2/√5).

Answer:To find the directional derivative in the direction of the vector (1,2), we need to find a unit vector in the direction of the vector (1,2). We simply divide by the magnitude of (1,2). u=(1,2)∥(1,2)∥=(1,2)√12+22=(1,2)√5=(1/√5,2/√5).

Step-by-step explanation:

Answer:

hope it can help you

brainliest pls

[tex]xy = \frac{x}{3} + 5\\x = 6\\(6)y = \frac{(6)}{3} + 5\\6y = 2 + 5 = 7\\y = \frac{7}{6}[/tex]

Answer:

29.3 degrees

Step-by-step explanation:

90 - 60.7 = 29.3 degrees

Answer:

(- 1, - 3 )

Step-by-step explanation:

the coordinates of the midpoint are the average of the coordinates of the endpoints, then

midpoint = ([tex]\frac{4-6}{2}[/tex], [tex]\frac{2-8}{2}[/tex] ) = ( [tex]\frac{-2}{2}[/tex], [tex]\frac{-6}{2}[/tex] ) = (- 1, - 3 )

[tex]\neq \lim_{n \to \infty} a_n \pi x_{123} \alpha[/tex]Answer:

Step-by-step explanation:

There are 3 boxes. The formula for volume is lxhxw, (length x height x width)

Answer:

4n-10, Answer is D

Step-by-step explanation:

First we will use n as any number.

the difference between each of the numbers is +4

This creates first part of the formula.

4n...

If you do 4n and replace n as one (For the first number of the sequence) then 4×1=4. You then have to find out how much you need to add or subtract to get -6 so the difference between 4 and -6 is -10.

This creates the second part of our formula.

4n - 10

You can check this by doing the same thing for the second number and replacing n with 2.

2×4=8

8 - 10= -2 which is the second number in the sequence which confirms this is correct.

Answer:

10%

Step-by-step explanation: there are 5 numbers from 5 to 50 ending in 9. 5 is 10% of 50. Hope this helped

Step-by-step explanation:

the volume of a figure bases always on a calculation that multiplies 3 dimensions.

while a surface area bases always on a calculation that multiplies 2 dimensions.

since the figures are similar, that means that all dimensions or side lengths of one figure correlate to the corresponding dimensions or side lengths of the other figure via the same scale factor f.

and that means that

large side length = small side length × f.

and that means that f has to be multiplied in 3 times for the volume and 2 times for the surface area (once for every dimension).

so,

large volume = small volume × f × f × f =

= small volume × f³

1536 = 648 × f³

f³ = 1536/648 = 64/27

f = 4/3

and

large surface = small surface × f×f =

= small surface × f²

small surface = large surface / f² = 864 / 16/9 =

= 864 × 9/16 = 54 × 9 = 486 m²

Answer:

Vertex: ( − 2 , 3 ) Axis of Symmetry: x = − 2 Domain: R Range: R ≥ 3

Step-by-step explanation:

Explanation:

The "vertex form" for a parabola is XXX g ( x ) = m ( x − a ) 2 + b XXXXXX with the vertex at ( a , b ) To convert g ( x ) = 3 x 2 + 12 x + 15 into "vertex form" Extract the m XXX g ( x ) = 3 ( x 2 + 4 x ) + 15 Complete the square XXX g ( x ) = 3 ( x 2 + 4 x + 2 2 ) + 15 − 3 ( 2 2 ) XXX g ( x ) = 3 ( x + 2 ) 2 + 3 In complete vertex form: XXX g ( x ) = 3 ( x − ( − 2 ) ) 2 + 3 with the vertex at ( − 2 , 3 ) The equation is of the form for a parabola with a vertical axis of symmetry opening upward and since the axis of symmetry passes through the vertex, the axis of symmetry is x = − 2 g ( x ) = 3 x 2 + 12 x + 15 is defined for all Real values of x , therefore the Domain is x ∈ R . g ( x ) has values for all points at or above the vertex, therefore the Range is g ( x ) ∈ R ≥ 3 graph{3x^2+12x+15 [-7.85, 6.196, -0.84, 6.186]

Answer:

Step-by-step explanation:

Given points P(4, 2) and Q(13, 14), you want the length of PQ and its midpoint.

The length of PQ is given by the distance formula ...

  d = √((x2 -x1)² +(y2 -y1)²)

  d = ((13 -4)² +(14 -2)²) = √(9² +12²) = √225

  d = 15

The length of PQ is 15 units.

The midpoint is halfway between the end points. It is conveniently found as the average of the coordinates of the end points.

  M = (P +Q)/2

  M = ((4, 2) +(13, 14))/2 = (4+13, 2+14)/2 = (17, 16)/2

  M = (8.5, 8)

The midpoint of PQ is M(8.5, 8).

__

Additional comment

The length of PQ is the hypotenuse of a right triangle with side lengths 9 and 12 units. You recognize this ratio as 3:4, so the triangle is a 3-4-5 right triangle, scaled up by a factor of 3. The length PQ is 3·5 = 15.

{3, 4, 5} is one of several Pythagorean triples commonly seen in textbook problems. Others include {5, 12, 13}, {7, 24, 25}, {8, 15, 17}.

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