Use the diagram to find the angle measures.
Find m∠1, m∠3, and m∠4 if m∠2=117°.
Find the measures of all four angles if m∠2+m∠4=220°.

Answer:

150 m

Step-by-step explanation:

Since we have a dome inscribed in a rectangle, and are given the width of the rectangle, we can,

1. Find the diameter of the circle, which is also 150m

2. Find the length of the rectangle, which is 75m (the length of the rectangle is the same as the radius of the circle)

If we are to find the perimeter of the shaded region, we add the length and half the width of the rectangle. So,

75 + 75 = 150m

Answer:

6

Step-by-step explanation:

25.5/4.25= 6

Answer: 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the compound amount formula:  A = P(1 + r)^t, where r is the annual interest rate as a decimal fraction, P is the initial amount of money, and t is the time in years.  Then:

A = ($240,000)(1 + 0.04)^12      (that's 12 years past 2008)

   = ($240,000)(1.04)^12 = $384,247.73

Growth rate:  4%, or 0.04

Independent variable:  time (t)

Dependent variable:  appreciated value of the house, A

Domain:  [0, 30) (assuming that the house is sold within 30 years)

Range:  [$240,000, infinity)   (the house will never sell for an infinite price)

Answer:

D) 0

Step-by-step explanation:

In a ║gm, opposite sides are parallel and equal.

So,

RS = UT

=> x+5 = 2x+5

=> 2x-x = 5-5

=> 2x = 0

=> x = 0

Answer:

Step-by-step explanation:

i think 0

Answer:

£170000

Step-by-step explanation:

In 2010, Rafik bought a house. Let us assume Rafik bought the house for $x.  In 2015, Rafik sold the house to Bianca and made 20% profit. 20% profit = 20% of x = 0.2 × x = 0.2x. Therefore Rafik sold the house to Bianca at x + 0.2x = 1.2x. Bianca bought the house at 1.2x

The house was sold by Bianca at 5% loss in 2019. 5% loss = 0.05(1.2x) = 0.06x

Therefore the house was sold by Bianca at 1.2x - 0.06x = 1.14x. Since Bianca sold the house at £193800.

⇒ 1.14x = 193800

x = 193800/1.14

x = £170000

Rafik paid £170000 for the house in 2010

Answer:

D

Step-by-step explanation:

Put n as 48 and solve.

-11 + (48 - 1)(-3)

- 11 + (47)(-3) = -152

Answer:

The sum of the digits in the first 25 counting numbers, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, and 25 is 127

Step-by-step explanation:

The question regards the addition of single digits in numbers and asks of the sum of the digits in the first 25 numbers as follows;

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 1 + 0 + 1 + 1 + 1 + 2 + 1 + 3 + 1 + 4 + 1 + 5 + 1 + 6 + 1 + 7 + 1 + 8 + 1 + 9 + 2 + 0 + 2 + 1 + 2 + 2 + 2 + 3 + 2 + 4  + 2 + 5 = 127

The sum of the digits in the first 25 counting numbers, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, and 25 = 127.

Answer:

142 km^3

Step-by-step explanation:

A=2(wl+hl+hw)

A=2(7*5+3*5+3*7)

A=142

Answer:

[tex]142km^{2}[/tex]

Step-by-step explanation:

you need to find the area of every side and then add them all together so

you do the equation

[tex]2[(7*5)+(3*5) + (7*3)][/tex]

I multiply everything by 2 because there is 2 of every side

once you solve this you get the answer of [tex]142km^{2}[/tex]

Answer:

Gold weighs more

Step-by-step explanation:

The fact that they both equal 16 oz confirms the fact that gold weighs more. The reason for this is because even if the mass is the same the weight involves the gravitational pull on the earth meaning gold is greater.

1 pound of gold weighs more than 16 ounces of Soda.

We are told that;

Weight of soda = 16 Oz (ounces)

Weight of gold = 1 pound

Now, from conversions between pounds and ounces, 1 pound = 16 oz

Thus means that soda too also has a mass of 1 pound same as Gold.

However, despite the fact that they have the same mass, it doesn't mean they weigh the same because Gold has a gravitational pull which means force of gravity on it from the earth and it means it will weigh more.

Read more at; brainly.in/question/25346071

Answer:

(1)155 degrees

(2)135 degrees

(3)105 degrees

Step-by-step explanation:

Let the original angle [tex]= \theta[/tex]

Angle Bisector of the original angle = [tex]\dfrac{ \theta}{2}[/tex]

If the other angle forms a linear pair, then:

The other angle, [tex]\beta=180^\circ-\theta[/tex]

Therefore, the measure of the angle formed by the angle bisector of the original angle and the opposite ray is:

[tex]\dfrac{ \theta}{2}+180^\circ-\theta\\=180^\circ-\dfrac{ \theta}{2}[/tex]

(1)If the angle equals 50°

Then the measurement of the required angle

[tex]=180^\circ-\dfrac{ 50}{2}\\=180^\circ-25^\circ\\=155^\circ[/tex]

(2)If the angle equals 90°

Then the measurement of the required angle

[tex]=180^\circ-\dfrac{ 90}{2}\\=180^\circ-45^\circ\\=135^\circ[/tex]

{3)If the angle equals 150°

Then the measurement of the required angle

[tex]=180^\circ-\dfrac{ 150}{2}\\=180^\circ-75^\circ\\=105^\circ[/tex]

See attachment for an example of the graphical solution.

Answer:

6 minutes more

Step-by-step explanation:

Time = Distance ÷ Speed

Time = 30miles ÷ 60mph

Time = 30mins

Time = 30miles ÷ 50mph

Time = 36mins

36mins - 30mins = 6mins difference

Answer: 6 minutes

Step-by-step explanation:

Time = Distance / speed

When speed is 60 mph

Time = 30/60 = 1/2 hour = 30 minutes

When speed is 50 mph

Time = 30/50 = 3/5 hour = 36 minutes

Answer:

Step-by-step explanation:

If you were to complete 4 out of the 24 current homework problems, then I can say that you'd have 5/6 of the problems remaining. This is because 24 divided by 4 is 6, so completing 4 questions counts as completing 1/5 of the total amount of work present. If you want to use whole numbers instead of fractions, you would have completed 4 out of 24 questions and would have 20 remaining

Answer:

512 x 9 − 2304 x 8 + 4608 x 7 − 5376 x 6 + 4032 x 5 − 2016 x 4 + 672x 3 − 144 x 2 + 18 x − 1

Step-by-step explanation:

Answer:

The additive inverse of the polynomial  being subtracted is -0.612-8+181

Step-by-step explanation:

Given expression : (1.32 +0.412 – 241) – (0.612 + 8 - 181)

Now the polynomial being subtracted : (0.612 + 8 - 181)

Additive inverse : The number in the set of real numbers that when added to a given number will give zero.

So, Additive inverse of 0.612 = -0.612

Additive inverse of 8 = -8

Additive inverse of -181 = 181

So, The additive inverse of polynomial being subtracted : -0.612-8+181

So, Option B is true

Hence the additive inverse of the polynomial  being subtracted is -0.612-8+181

Answer:

3.5

Step-by-step explanation:

0+1+2+3+4+5+6+7=28

28/8=3.5

Answer:

Step-by-step explanation:

[tex]5x - 3 - 7x = 15 - x \\ collect \: like \: terms \: \\ 5x - 7x + x = 15 + 3 \\ - x = 18[/tex]

[tex] \frac{ - x}{ - 1} = \frac{18}{ - 1} \\ x = - 18[/tex]

Answer:

m = -6

Step-by-step explanation:

3m = -18 (Divide both sides by 3)

3m/3 = -18/3

m = -6

Answer:

m=-6

Step-by-step explanation:

3m=-18

Divide by 3 on each side.

3m/3=-18/3

m=-6

Answer:

11k^3 (4k^2 - 6k +7)

Hope this helps :)

Answer:

y= -2/5 and y=1

Step-by-step explanation:

Start by transforming the equation to your liking:

[tex]5y^2-2=3y\\5y^2-3y-2=0\\[/tex]

Now we have to factor! To do this we have to find common numbers. Do this by multiplying -2 and 5 to get -10. Now think about which two numbers add multiply to be -10 but also add up to be -3 (I got this number from the middle of the equation). The two numbers you should've got are -5 and 2.

Now substitute those two number in place of the middle term, which is -3y like so:

[tex]5y^2-5y+2y-2 =0[/tex]

Now solve the equation in pieces... find the greatest common factor from [tex](5y^2-5y)[/tex] and the greatest common factor from [tex](2y-2)[/tex] . The two common factors for both of those are 5y and 2. Your equation should now look like this:

[tex]5y(y-1)[/tex] + [tex]2(y-1)[/tex]

The two greatest common factors become into one group and the other equation that they have in common (y-1) is it's own equation:

[tex](5y+2)(y-1)=0[/tex]

Now equal both of the equations to 0 and solve for y to get both of the values of y.

Answer:

5 options : 2 correct options

: 3 wrong options

first answer : 2/5

second answer : 1/5-1

: 1/4

p( choosing correct answer)

= 2/5 × 1/4

= 1/10

Answer:

0.10

Step-by-step explanation:

hello,

there are 5 answers and 2 are correct

I choose a first answer - the probability to be a correct one is 2/5

then now, there are 4 left answers and only 1 left is correct

the probability to choose the correct one is 1/4

so in total the probability to choose the 2 correct answers out of 5 is

[tex]\dfrac{2}{5}*\dfrac{1}{4}=\dfrac{1}{10}[/tex]

which is 0.10

hope this helps

Answer:

Tangent B = eight-sixths

Step-by-step explanation:

Data

From tangent definition:

tan(β) = opposite/adjacent

where β is some angle, and opposite and adjacent are the opposite and adjacent sides (or legs) to that angle.

In our case, B is the angle, opposite to angle B is side AC, and adjacent to angle B is side AB. Replacing with data:

tan(B) = AC/AB

tan(B) = 8/6

Answer:

B is the correct option here

Step-by-step explanation:

hope that this helps. Peace and love

Answer:

x=6 the angle =88

z=92

Step-by-step explanation:

find x

92+11x+22=180

114+11x=180

11x=180-114

x=66/11

x=6 the angle is 11(6)+22=66+22=88

find z=

z+88=180

z=180-88=92

Answer:

B and D

Step-by-step explanation:

In the picture attached, the question is shown.

The graphical solution for a system of two equations is found at the intersection of the two lines. At point (1, 4) line B intersect line D, therefore this point is the solution of the set of equations B and D.

Answer:he slope-intercept form of the equation of a line that passes through point (–3, 8) is y = –x + 6. What is the point-slope form…

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

It is stated that f(x) passes through

(-3, 3), (0, 3), (4, 3)

and g(x) passes through

(-4, -3), (0, 0), (4, 3)

Therefore, both functions pass through (4, 3). That is, the input value x = 4 produces the same output value y = 3 for the two functions.

Answer:

d x =4

Step-by-step explanation:

Answer:

Standard deviation  for the number of people with the genetic mutation = 4.178

Step-by-step explanation:

Explanation:-

Given random sample size 'n' =600

proportion of the Population 'p'=3% or  0.03

Let 'X' be the random variable in binomial distribution

Mean of the  binomial distribution

                              μ = n p

                                 = 600 X 0.03

                                = 18

Mean of the  binomial distribution ' μ ' =18

Standard deviation of the binomial distribution

                                σ = [tex]\sqrt{npq} = \sqrt{600 X 0.03 X 0.97} = \sqrt{17.46} = 4.178[/tex]

Conclusion:-

Standard deviation  for the number of people with the genetic mutation = 4.178

Answer:

y = 49

Step-by-step explanation:

y ∝ x²

=> y = kx²

Where k is the constant of proportionality

k = 1 (We've found this out in the previous question)

Now,

y = ? when x = 7

The above equation becomes:

=> y = (1)(7)²

=> y = (1)(49)

=> y = 49

Answer:

54.6

Step-by-step explanation:

When we plug e^4 into the calc, we get 54.5982, which we round to get our final answer.