The radius of the circle below is 19 mm. Calculate the area of the circle. Give your answer in mm² to 1 d.p. area= 19 mm mm² Not drawn accurately​

Using Pythagorean theorem, the length of the ladder is 10ft

In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:

x² = y² + z²

In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.

To calculate the length of the ladder, we can write the formula as;

x² = 8² + 6²

x² = 64 + 36

x² = 100

x = √100

x = 10

The length of the ladder is 10 feet

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To convert  Celsius to Fahrenheit, Josh needs to use the formula; F = (9/5)C + 32

Let C represent the degrees Celsius and F represent the degrees Fahrenheit.

The relationship between C and F is given as:

C = (F-32) × 5/9

Hence to convert Celsius to Fahrenheit, we make F the subject of formula:

C = (F-32) × 5/9

9C/5 = (F-32)

F = (9/5)C + 32

To convert  Celsius to Fahrenheit, Josh needs to use the formula; F = (9/5)C + 32

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Answer:

Step-by-step explanation: This is one of the most common examples given in math textbooks, and it's useful to know if you ever travel outside the U.S., or if you are from outside the U.S. and travel here.

C = 5/9 (F - 32)

9C = 5(F - 32)

9/5 C = F - 32

9/5 C + 32 = F

F = 9/5 C + 32

The equation of the linear function is y = -5x - 3

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

The graph

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

This means that

y = mx - 3

From the graph, we have

(x, y) = (-1, 2)

Substitute the known values in the above equation, so, we have the following representation

2 = -m - 3

Evaluate

m = -5

So, we have

y = -5x - 3

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Step-by-step explanation:

so, we calculate the perpendicular slope, and then we start with the point-slope form (since we were given a specific point of the line), and transform into the regular slope-intercept form.

the slope in

y = 2x + 2

is the factor of x : 2 or 2/1

the perpendicular slope is turning this upside down and flips the sign : -1/2

the point- slope form is

y - y1 = a(x - x1)

"a" being the slope, (x1, y1) being the point.

y - 9 = -1/2(x - -2)

y - 9 = (-1/2)x - 1

y = (-1/2)x + 8

Answer:

I hope this helps

Step-by-step explanation:

carbonhydrates protein water fats minerals and vitamins

Question 24 :

P594.65 : 35 days

P594.65/7 : 35/7 days

P84.95 : 5 days

⇒ A. P84.95

Question 25 :

88.75 + 85.5 + 90.5 + 87.25 / 4

352/4

88

⇒ B. 88

Question 26 :

I = P × r × t

I = 580.00 × 0.065 × 1

I = P37.70

⇒ B. P37.70

The equation of F(x) is given as follows:

A. F(x) = x² + 3.

The equation for F(x) is defined as a translation of function G(x), as the graph has the same format and orientation, just has a different position.

The definitions of each type of translation are given as follows:

From the graph given by the image shown at the end of the answer, G(x) = x² and F(x) was shifted up 3 units, hence it's definition is given as follows:

The graph is given by the image shown at the end of the answer.

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Answer: The answer is D, 5/6.

Step-by-step explanation: The reciprocal of a fraction is that fraction but the numerator and denominater swapped places.

Answer:

5/6

Step-by-step explanation:

The reciprocal is where you flip the fraction

6/5 -> reciprocal -> 5/6

I'm not sure about your answer choices tho, sorry

Answer:

A)

\(\left \{ {{80} \atop {20}} \} * \left \{ {{60} \atop {20}} \} * \left \{ {{40} \atop {20}} \} * \left \{ {{20} \atop {20}} \}\)

B)

\(\left \{ {{20+4-1} \atop {4-1}} \} = \left \{ {{23} \atop {3}} \}\)

C)

= \(\left \{ {{17+4+1} \atop {4-1}} \} = \left \{ {{20} \atop {3}} \}\)

D)

= \(\left \{ {{20} \atop {3}} \} - \left \{ {{17} \atop {3}} \}\)

Step-by-step explanation:

A) How many ways can you put all Jellybeans in a row

Total number of Jellybeans = 80

The first jellybeans = 20 yellow , second is 20 orange jellybeans , third is 20 red jellybeans , fourth is 20 green jellybeans

Therefore the number of ways the Jellybeans can be put in a row is :

\(\left \{ {{80} \atop {20}} \} * \left \{ {{60} \atop {20}} \} * \left \{ {{40} \atop {20}} \} * \left \{ {{20} \atop {20}} \}\)

B) How many ways are there to select a handful of 20 jellybeans

lets assume:

yellow jellybeans = a , orange jellybeans = b , red jellybeans = c , green jellybeans = d

a + b + c + d = 20

This is the number Non-negative integer solutions

= \(\left \{ {{20+4-1} \atop {4-1}} \} = \left \{ {{23} \atop {3}} \}\)

C) This is also the number of Non-negative integer solutions but in this case the value of C ≥ 3

hence the number of ways to select a handful of 20 jellybeans that contains at least 3 red

= \(\left \{ {{17+4+1} \atop {4-1}} \} = \left \{ {{20} \atop {3}} \}\)

D) In this case the value of C ≥ 3 and B ≤ 2

Hence the number of ways to select a handful of 20 jellybeans that contains at least 3 red and at most 2 orange

= \(\left \{ {{20} \atop {3}} \} - \left \{ {{17} \atop {3}} \}\)

Answer:

4/9 or 44.44%

Step-by-step explanation:

We have the following probabilities:

Probability of winning the statistical test = P (s) = 2/3

Probability of winning the mathematics and statistics test = P (s n m) = 14/45

Probability of winning at least one test = P (s u m) = 4/5

We have that, the probability of winning the mathematics test P (m) can be found in the following way:

P (s n m) = P (s) + P (m) - P (s u m)

replacing we have:

14/45 = 2/3 + P (m) - 4/5

P (m) = 14/45 - 2/3 + 4/5

p (m) = 4/9 = 0.444

Which is the same as there is a 44.44% probability that I will win the math test

Answer:

r = 26

Step-by-step explanation:

Let's solve the problem,

→ 0.5r + 5 = r - 8

→ r - 0.5r = 5 + 8

→ 0.5r = 13

→ r = 13/0.5

→ [ r = 26 ]

So, the value of r is 26.

Answer:

A. deductible

Step-by-step explanation:

i cannot really explain it, its just what the word means.

Answer:

54.54%

Step-by-step explanation:

what porcentage is 60 of 110

Answer: \(m=\frac{-30}{79},\ y=5.40\)

Step-by-step explanation:

Given

Points are \(\left(6\frac{1}{3},3\right),\ \left(19\frac{1}{2},-2\right)\)

Convert mixed numeral to fraction

\(\left(6\frac{1}{3},3\right)\Rightarrow \left(\dfrac{19}{3},3\right)\\\\\left(19\frac{1}{2},-2\right)\Rightarrow \left(\dfrac{39}{2},-2\right)\)

Slope of the line is

\(\Rightarrow m=\dfrac{3-(-2)}{\dfrac{19}{3}-\dfrac{39}{2}}\\\\\Rightarrow m=\dfrac{5}{\dfrac{38-117}{6}}\\\\\Rightarrow m=\dfrac{-30}{79}\)

Equation of line

\(\Rightarrow \dfrac{y-3}{x-\dfrac{19}{3}}=\dfrac{-30}{79}\\\\\text{for y-intercept, put x=0}\\\\\Rightarrow \dfrac{y-3}{0-\dfrac{19}{3}}=\dfrac{-30}{79}\\\\\Rightarrow y-3=\dfrac{190}{79}\\\\\Rightarrow y=3+2.40\\\Rightarrow y=5.40\)

After considering the given values we can come to the conclusion that the annual installment that has to be made to the investment fund to retire within the age of 40 with enough money to draw $75,000 per year until age 90, assuming a risky investment that earns 8% per year, is approximately $16,431.

To evaluate the equal annual installment that you need to make from age to age 40, we need to use the present value of an annuity formula:

PMT = (PV × r) / (1 - (1 + r)⁻ⁿ)

Here,

PMT= equal annual installment,

PV =present value of the investment fund at age 40,

r = expected annual rate of return on the fund,

n = number of years over which the payments will be made.

We can proceed by evaluating the present value of the investment fund that we need at age 40, based on the assumption that we will draw per year for the next years.

Let's call this present value PV2. Assuming an interest rate of r2 for the period from age 40 to age, we can calculate PV2 using the present value of a perpetuity formula:

PV2 = PMT2 / r2

Here,

PMT2 = annual draw we plan to make from age to age .

Next, we need to evaluate the present value of the investment fund at age, which we will call PV1. Now we can apply the future value of an annuity formula:

FV = PMT × ((1 + r)ⁿ⁻¹) / r

Here,

FV = future value of the annuity at age,

PMT = equal annual installment,

r = expected annual rate of return on the fund,

n = number of years over which the payments will be made (in this case, the number of years from age to age ).

We can then apply the present value formula to evaluate PV1:

PV1 = FV / (1 + r)ⁿ

Finally, we can apply substitution the values we have evaluated into the PMT formula to find the equal annual installment:

PMT = (PV1 × r) / (1 - (1 + r)⁻ⁿ)

Once we have calculated PMT, we can start making annual payments into the investment fund starting at age and continuing until age 40.

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Answer:

  all but the last two

Step-by-step explanation:

Rotation is a rigid transformation that moves every point of a figure through the same rotation angle about the center of rotation. Each point has the same distance from the center it had before the rotation. Hence the following are true:

__

Statements that do not apply are ...

- Segment CP is parallel to segment CP'. (A segment to the center of rotation will only be parallel to the corresponding segment on the image if the rotation is a multiple of 180°.)

- If the figure is rotated 180° about C, it will be mapped to itself. (This will be true in general only if C is a center of rotational symmetry of even order.)

Answer:

A,B,C

Step-by-step explanation:

I'm sure cause I got it right depends what your Edgenu is, mine is 2020

Answer:

Triangle P has been rotated clockwise by 90° about the point (0,0).

PLEASE MARK IT THE BRAINLIEST!!!!

Answer:

$1,136.80

Step-by-step explanation:

The total deposits of Elias Rubio mone through Cash Deposit and Cheque Deposit is $7258.05.

The total deposit can be calculated by the total money deposit either by cheque or cash.

Elias Rubio deposits three checks for $598.20, $2,274.26, and $3,248.79.

Total Cheque Deposit = $598.20 + $2,274.26 + $3,248.79.

                                     = 6121.25

75 one-dollar bills =  75x 1  =  $ 75.00  

78 five-dollar bills = 78 x5 =  $  390.00  

83 ten dollar bills = 83 x 10 = $ 830.00  

80 quarters = 80 x 25 cents = $ 20.00

32 dimes = 32 x 10 cents = $ 3.20  

95 nickels = 95 x 5 cents  = $ 4.75  

5 pennies = 5 x 1 cents = $ 0.5  

Total Cash Deposit = $1,136.80

Therefore, Elias Total Deposit

= Total Cheque Deposit+ Total Cash Deposit

= $6121.25+$1,136.80

= $7258.05

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Hey there!

5x = 120 {Obtain a formula for x }

=> \(\fbox{5x = 120}\) { Divide both side by 5}

=> \(\fbox{5x/5 = 120/5}\) { divide 5x by 5}

=> \(\fbox{x = 120/5}\) { Divide 120 by 5}

=> \(\fbox{x = 24}\)

Therefore, x = 24°

a) The distance of the stone above ground level at any time t is given by h(t) = 950 + 4.9t², where h(t) is measured in meters and t is measured in seconds.

b) It takes approximately 13.93 seconds for the stone to reach the ground.

c) The stone strikes the ground with a velocity of approximately 136.04 m/s.

d) It takes approximately 16.75 seconds for the stone thrown downward with a speed of 6 m/s to reach the ground.

When objects are dropped or thrown from a height, their speed and position can be determined using physics equations. In this problem, we will calculate the distance, time, and velocity of a stone dropped from a tower.

First, we need to determine the equation for the height of the stone above the ground at any given time t. We can use the formula:

h(t) = h0 + vt + 0.5at²

where h0 is the initial height, v is the initial velocity (which is zero for a dropped object), a is the acceleration due to gravity (g = 9.8 m/s^2), and t is the time since the stone was dropped.

Using the given values, we can plug in the numbers and simplify:

h(t) = 950 + 0t + 0.5(9.8)t²

h(t) = 950 + 4.9t²

To find the time it takes for the stone to reach the ground, we need to set h(t) = 0 and solve for t:

0 = 950 + 4.9t^2

t^2 = 193.88

t ≈ 13.93 seconds

To find the velocity at which the stone strikes the ground, we can use the formula:

v = v₀ + at

where v₀ is the initial velocity (which is zero for a dropped object) and a is the acceleration due to gravity (g = 9.8 m/s²). We can plug in the values for t and solve for v:

v = 0 + 9.8(13.93)

v ≈ 136.04 m/s

Finally, if the stone is thrown downward with a speed of 6 m/s, we can use the same formula for h(t) as before, but with an initial velocity of -6 m/s. We can then find the time it takes to reach the ground using the same method as before:

h(t) = 950 - 6t + 0.5(9.8)t²

0 = 950 - 6t + 4.9t²

t² - 1.22t - 193.88 = 0

t ≈ 16.75 seconds

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Answer:

Length of AC will be 6cm as the line indicates that its equal.

Length of AB will also be 6cm as its given in the question.

Angle BAC will be 56 degree

Angle ACB will be 174 degrees (not so sure)

The popcorn box would hold 31.64 cubic inches.

Volume is defined as the amount of space occupied by an object within the boundaries in the three dimensional space.

The popcorn box modelled by Elizabeth is in the shape of right rectangular prism.

The dimensions length, breadth and height is given as, \(2\frac{1}{4} *2\frac{1}{4}*6\frac{1}{4}\) inches.

Volume of popcorn box holds is,

Volume of rectangular prism = Length*width*height

                                                = \(2\frac{1}{4} *2\frac{1}{4}*6\frac{1}{4}\)

                                                = 31.64 cubic inches.

Hence, the popcorn box would hold 31.64 cubic inches.

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The additional 60 men, the provisions will last for approximately 20 weeks.

To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.

Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.

Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.

To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:

Provisions last = Total person-weeks / Number of men

= 9200 / 460

≈ 20 weeks (rounded to the nearest whole number)

The additional 60 men will extend the supply's shelf life to around 20 weeks.

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Answer:

it would be the first answer

Step-by-step explanation:

a solution is where the lines meet, and the coorinate is (1,4)

Answer:

y= -2

Step-by-step explanation: x-10=0 move the - 10 to the other side it will be +10 s0 x=10

then use that value to solve the second equation

3*10 +5y=20

30 +5y=20

remember: anything that moves to the other side of the equation always invert its sign so +30 will be -30

5y= 20-30

5y= -10

y= -10/5

y= -2

Answer:

What are the options that you can choose?

Step-by-step explanation:

Hello !

68/17 = 4

=> yes for 68

84/17 = 4.941...

=> no for 84

357/17 = 21

=> yes for 357

1001/17 = 58.882...

=> no for 1001

Answer:

5/2

Step-by-step explanation:

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

(-5/4)*(-2)=5/2

Given the following expression:

The verbal description will be option a

The sum of (x + 3)³ and y².

Answer and solution in the picture hope it helps