What are the opposite rays

9514 1404 393

Answer:

Step-by-step explanation:

Let s, b, n represent the current ages of Sarah, Bob, and Nellie, respectively.

  s = b/2 . . . . . . Sarah is half Bob's age

  2(s+3) = n+3 . . . . in 3 years, Nellie will be twice Sarah's age

  s + b + n = 38 . . . . . their ages now add to 38

__

We can rearrange the first two equations to find Bob and Nellie's age in terms of Sarah's. Then we can substitute into the third equation to find Sarah's age.

  b = 2s . . . . . . multiply the first equation by 2

  2s +3 = n . . . . subtract 3 from the second equation and simplify

  s +(2s) +(2s+3) = 38 . . . . substitute for b and n

  5s = 35 . . . . . . . . . . . . subtract 3, collect terms

  s = 7 . . . . . . . . . . . . divide by 5

  b = 2(7) = 14

  n = 2(7) +3 = 17

Sarah is 7, Bob is 14, and Nellie is 17.

Answer:

95

Step-by-step explanation:

you can watch answer in photo. by the way where r u from?

Answer:

I hope it helped U

stay safe stay happy ❤️❤️

Answer:

D

Step-by-step explanation:

hhgxhsbjxkxjebdibfhejx

Answer:

700

Step-by-step explanation:

Answer:

700

Step-by-step explanation:

7 hundred in standard form is 700.

The expression 4x + 6 -y^2  when evaluated has a value of -22

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

4x + 6 -y^2

Also, we have

x=-3 and y=4

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

4x + 6 -y^2 = 4 * -3 + 6 - 4^2

Evaluate

4x + 6 -y^2 = -22

Hence, the solution is -22

Read more about expression at

https://brainly.com/question/30492964

#SPJ6

Answer:

θ = 0.9626

Step-by-step explanation:

Hi there!

We're given the hypotenuse and the leg adjacent to θ in this right triangle. To find θ, we can use the cosine ratio:

[tex]\displaystyle cos\theta=\frac{adjacent}{hypotenuse}[/tex]

Plug in the given information

[tex]\displaystyle cos\theta=\frac{4}{7}[/tex]

Use the inverse cosine ratio

[tex]\displaystyle \theta=cos^-^1(\frac{4}{7})[/tex]

Plug this into your calculator (and ensure you're solving for radians instead of degrees in the settings)

[tex]\displaystyle \theta=0.9626[/tex]

Therefore, θ = 0.9626 when rounded to four decimal places.

I hope this helps!

Answer:

theta = 0.9626 radians

Step-by-step explanation:

cos theta = a/h

cos theta = 4/7 = 0.5714

so, the angle theta = arc cos 0.5714 =

55.1520 °

in radians => 55.1520 × π / 180°

= 0.9626 radians

Answer:

166,67

Step-by-step explanation:

We want to find a number x which 12% is 20:

x * 0.12 = 20

x = 20 / 0.12

x = 166,67

Answer:

HCF=3

Step-by-step explanation:

Factors of 15t= 3*5*t

Factors of 6s= 2*3*s

HCF= Common factors

common factor = 3

HCF=3

Step-by-step explanation:

27=9x+2-4x

or, 27-2=9x-4x

or,25=5x

or,25/5=X

so, X=5

Answer:

7

Step-by-step explanation:

15ft - 8ft

Answer:

C. 4

Step-by-step explanation:

We have the equation [tex]\sqrt[x]{81} =3[/tex] and are asked to find the value of x.

To find x, we need to find how many times 3 can go into 81 but as an exponent, instead of saying 3 * x it would be [tex]3^x[/tex].

So find the value of each exponent by replacing it with each answer choice :

[tex]3^8 = 6561[/tex]

[tex]3^{27} = 7.6255975e+12[/tex]

[tex]3^4 = 81[/tex]

[tex]3^2 = 9[/tex]

Since to the power of 4 equals the cube root in the original equation, therefore B. is the answer.

The answer is 56. work is shown below.

Step 1: apply 2nd power to everything inside parentheses

(7 - 1)² = 7² - 1²

Step 2: apply exponents (remember, exponents are a shorter way to express a number multiplied by itself a number of times).

1 x 1 = 1

7 x 7 = 49

Step 3: subtract

49 - 1 = 48

Step 4: apply exponent

2 x 2 x 2 x 2 = (2 x 2) x (2 x 2)

2 x 2 = 4

2 x 2 = 4

4 x 4 = 16

2⁴ = 16

Step 5: add

48 + 16 = 64

Step 6 (final step): subtract

64 - 8 = 56

final answer: 56

Step-by-step explanation:

Dave run with was 63 miles

The appropriate distribution of the percentages are :

P(μ-2σ≤x≤μ) = 47.5%

P(μ-σ≤x≤μ+σ) = 68%

P(μ-2σ≤x) = 2.5%

P(μ-2σ≤x≤μ-σ) = 13.5%

For a normal distribution :

The mean, μ = 0

The mean, μ = 0The standard deviation, σ = 1

Therefore :

P(μ-2σ≤x≤μ) = P(x≤μ) - P(x≤μ-2σ)

P(x≤μ) - P(x≤μ-2σ)

P(Z ≤ μ) - P(Z ≤ 2(1))

P(Z ≤ 0) - P(Z ≤ 2)

Using the normal distribution table :

0.5 - 0.02275 = 0.47725 = 47.725% (approximately 47.5%)

P(μ-σ≤x≤μ+σ) = P(x≤μ-σ) - P(x≤μ+σ)

P(x≤μ+σ) - P(x≤μ-σ)

P(Z ≤ μ+σ) - P(Z ≤ μ-σ)

P(Z ≤ (0+1) - P(Z ≤ 0-1)

P(Z ≤ 1) - P(Z ≤ - 1)

Using the normal distribution table /

0.84134 - 0.15866 = 0.68268 = 68.268% = (approximately 68%)

P(μ-2σ≤x) = P(μ-2σ)

P(Z ≤ μ-2σ) = P(Z ≤ (0 - 2(1))

P(Z ≤ - 2) = 0.02275 = 2.275% = (approximately 2.5%)

P(μ-2σ≤x≤μ-σ) = P(x≤μ-σ) - P(x≤μ-2σ)

P(x≤μ-σ) - P(x≤μ-2σ)

P(Z ≤ μ-σ) - P(Z ≤ μ-2σ)

P(Z ≤ (0-1) - P(Z ≤ 0-2(1))

P(Z ≤ -1) - P(Z ≤ -2)

From normal distribution table :

0.15866 - 0.02275 = 0.13591 = 13.59% = approximately 13.5%

Learn more : https://brainly.com/question/14308582

Answer: 120 + 10s + 30

Step-by-step explanation:

120 + 10s + 30

let "s" be the amount of screws

Answer:

[tex]thank \: you[/tex]

[tex] {x}^{2} - 17x - 60 \\ (x + 3)(x - 20)[/tex]

First we put parentheses and in each bracket we put (X) and then we put the signs x² is positive and the 17X before it is a negative q is positive with negative —> negative, and negative before 17X and negative before the 60 —> positive. And then the number that does not have (x) where did it come from, for example 60 came from 20 x 3 or 30 x 2...etc. We can verify this by multiplying the parentheses together and the same number comes out .

Or it can be checked by multiplying the first bracket 3 with x from the second parenthesis comes out 3X and negative 20 from the second parenthesis with X from the first parenthesis and subtract 3X from –20xcomes out –17X .

I hope I helped you^_^

Answer:

.01 times

Step-by-step explanation:

Step-by-step explanation:

8x=-9

x=-9/8

x+1=-9/8+1

x+1=-1/1

x+1=-1

Answer:

tree is about 18.82 ft high

Step-by-step explanation:

The triangles (that are formed by the tree and the poll with their shadows and the line from top to the end of the shadow) are in proportion because they cast the shadow at the same time.

x/9 = 23/11 , we write the proportions

x = 23*9 / 11, multiply both sides by 9

x ≈ 18.82 ft.

Answer:

what elevation there is no elevation

Step-by-step explanation:

pew pew

Answer:duhh

Step-by-step explanation:

Answer:

Ramesh asked me,"where do you live?"

Ramesh said to me," where do you live".

Answer:

Observed: 145

Expected: 107.2

Step-by-step explanation:

to get the observed frequency, we simply look at the value in the column. In this case, it is 145 for the yellow group.

To get the expected frequency, we use the formula:

n equals s a m p l e space s i z e equals 536

p equals h y p o t h e s i z e d space p r o p o r t i o n equals 20 percent sign equals 0.2

E x p e c t e d space F r e q u e n c y equals n times p equals 536 times 0.2 equals 107.2

Answer: 104.5

107.2

Step-by-step explanation:

9514 1404 393

Answer:

  $3281.79

Step-by-step explanation:

The compound interest formula is ...

  A = P(1 +r/n)^(nt)

where A is the balance resulting from investment of P at annual rate r compounded n times per year for t years.

We have P=$3000, r=0.06, n=12, t=1.5, so the account balance is ...

  A = $3000(1 +0.06/12)^(12·1.5) = $3000(1.005^18) ≈ $3281.79

There will be $3281.79 in the account after 18 months.

Answer:

[tex] {56x}^{2} [/tex]

Step-by-step explanation:

[tex] - 4 \sqrt{28x} \times \sqrt{ {7x}^{3} } [/tex]

[tex] = -4 \times 2 \sqrt{7x} \times \sqrt{7x} [/tex]

[tex] = - 4 \times 2 \times 7x \times x[/tex]

[tex] = {56x}^{2} [/tex]

9514 1404 393

Answer:

Step-by-step explanation:

The circumference of the CD is ...

  C = πd

  C = π(120 mm) ≈ 376.99 mm

This is the distance a point on the edge of the CD will travel when making one revolution. It will travel 45 times this far when making 45 revolutions:

  (376.99 mm/rev)(45 rev/min) ≈ 16,965 mm/min

__

There are 2π radians in each revolution, so the angular speed is ...

  (2π rad/rev)(45 rev/min) = 90π rad/min ≈ 282.7 rad/min

Answer:

I choose option d it maybe the answer

Answer:

D

Step-by-step explanation:

The number of sides increase by 1 each time

Refer to the equation y=mx+c

Answer:

A total= 0.6703125 ft²

Step-by-step explanation:

A1= 3.9× 14.3= 55.77 in²

A2=1/2 × 14.3× ( 9.6-3.9)= 40.755 in²

A total= A1+ A2= 55.77+40.755=96.525 in²

1 ft= 12 in , 1ft²= 144 in²

Atotal= 96.525÷144= 0.6703125 ft²