8: Two supplementary angles have measurements of (3x)" and (10x - 15)°. What are the measures of the
two angles?
A 45° and 135°
B 25° and 65°
C 15° and 165°
D 30° and 60°
Is 47 an answer choice

Answer:

8 m

Step-by-step explanation:

+ 2 - 10 = -8, so it is 8 meter from where it started.

Answer:

3, 2√2, √7

Step-by-step explanation:

compute the square roots of the next three prime numbers:

√7

√11

√13

Therefore, the next three terms of the sequence are:

{1, √2, √3, 2, √5, √7, √11, √13}

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Answer:

Right triangle JKL with JK measuring 33, angle J measures 60 degrees and angle L measure 30 degrees. 33rad … ical 3 66 33radical 2 16.5 5 Select the correct answer. 2 2

Step-by-step explanation:

We substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

The given system of equations are 2x-1/3y = -2...(1)

3x+y=1...(2)

We solve this system of equations by using substitution method.

Let us solve for x in equation to substitute it in equation (2).

2x=-2+1/3y

Divide both sides of equation by 2.

x=-1+1/6y

Now plug in the value of x in equation 2.

Hence, we substitute -1+1/6y for x in the second equation (bottom equation) in order to solve the system by the substitution method.

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Answer:

K' (-1,10)

L'(0,4)

M'(2,2)

Step-by-step explanation:

To use the mapping rule, substitute x and y with the original values

The coordinates of K are x=-4, and y=5.

Using the mapping rule, x of K' = -4+3 = -1

Using the mapping rule y of K' = 2x5=10

So K' is at the coordinate (-1,10)

The coordinates of L are x =-3, and y =2.

Using the mapping rule, x of L' = -3+3=0

Using the mapping rule y of L' = 2x2=4

So L' is at the coordinate (0,4)

The coorindates of M are x=-1 and y=1

Using the mapping rule, x of M' = -1+3=2

Using the mapping rule, y of M' = 2x1 = 2

So M' is at the coordinate (2,2).

Answer:

a. Local maximum = 50 units per week.

b. The graph is never concave upward.

c. (0, 80)

Step-by-step explanation:

a. The revenue function is:

\(R(x) = 1275x-0.17x^3\)

The derivate of the revenue function for which R'(x) = 0 gives us the local extrema:

\(R'(x) =0= 1275-0.51x^2\\x=\sqrt{2,500}\\x=50\)

The second derivate of the revenue function determines if x =50 is local maximum or minimum:

\(R''(x) = -1.02x\\R''(50) = -1.02*50=-51\\\)

Since the second derivate yields a negative value, x = 50 units per week is a local maximum.

b. Since there are no local minimums in the range of 0 < x < 80, the graph is never concave upward.

c. Since there is only one local maximum  in the range of 0 < x < 80, the graph is concave downward from x>0 to x<80 or (0, 80)

Answer:

28 yd²

Step-by-step explanation:

finding the area of a triangle is (base * height) / 2.

(14*4)=56

56/2=28

Answer: it should be 5

we can multiply 3x4 to get twelve so it must be the same for the other one

So 5x4=20

Step-by-step explanation:

have a great day!

Answer:

5

Step-by-step explanation:

12/4 = 3. 20/4 = 5

Side 12 divided by side 3 is four. You know four is now your key. Side 12 divided by 4 is Side 3. Side 20 divided by 4 is 5. So 5 is your answer.

Hope this helps! :)

Using central angle theorem,

The measure of the arc BC = 110°.

An angle with its vertex in the middle of the circle it creates with its two radii is said to be central.

Here in the question,

As per the central angle theorem:

(2x -30) ° + x° = 180°

⇒ 2x - 30 + x = 180

⇒ 3x - 30 = 180

Adding 30 on both sides:

⇒ 3x = 180 + 30

⇒ 3x = 210

Dividing both sides by 3.

⇒ x = 70°

Now BC = 2x-30

= 2 × 70 -30

= 140 - 30

= 110°

Therefore, the measure of BC = 110°.

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Did you ever figure this out. I need the answer for a test.

The value of y for the inequality is y  >  0

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g. 5 < 6, x ≥ 2, etc.

The inequality 2 times the quantity y plus one third end quantity is greater than two thirds can be written as:

2(y + 1/3) > 2/3

To determine the value of y in the inequality, you need to solve for y. That is:

2(y + 1/3) > 2/3  

y + 1/3 > 1/3     (Divide both sides by 2)

y > 1/3 - 1/3     (Collect like terms)

y > 0

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Answer:

L = 260 cm^2

Step-by-step explanation:

height h = 12 cm

slant height s = 13 cm

side length a = 10 cm

lateral edge length e = 13.928388277184 cm

1/2 side length r = 5 cm

volume V = 400 cm^3

lateral surface area L = 260 cm^2

base surface area B = 100 cm^2

total surface area A = 360 cm^2

Genda: h = height

s = slant height

a = side length

e = lateral edge length

r = a/2

V = volume

L = lateral surface area

B = base surface area

A = total surface area

Answer:

Step-by-step explanation:

The adjacent angle to the missing angle must sum to 180 degrees. So a=180-74=106 degrees. The sum of the three angles of the triangle must also sum to 180.

x+49+106=180

x+155=180

x=25

Answer:

106

Step-by-step explanation:

x+49=74

x=74-49=25

y=74=180

y=180-74=106

im sorry im late if u see this yw!

\(f(x) = 2 {x}^{3} \)

\(f(2) = 2 \times {2}^{3} = 2 \times 8 = 16 \)

_________________________________

\(g(x) = x - 3\)

\(g(4) = 4 - 3 = 1\)

_________________________________

\((f + g)(x) = f(x) + g(x) \)

\((f + g)(x) = 2 {x}^{3} + x - 3 \)

_________________________________

Done...♥️♥️♥️♥️♥️

Answer:

???????

Step-by-step explanation:

Answer:

--------------------

The range of the given function has one restriction, its denominator can't be zero, hence:

Therefore the function can get any value but zero:

The matching answer choice is D.

Linear function is f(x) = mx + b.

Reciprocal of a function f(x)  is 1/f(x).

So the reciprocal of linear function has a form of f(x) = 1 / (mx + b).

The only answer choice in same form is D.

Substitute x = - 5/3 into function to get:

This is undefined value, therefore it represents the vertical asymptote.

The function gets close to - ∞ when x → - 5/3 from left and gets close to +∞ when x → - 5/3 from right (see attached graph).

Therefore the correct choice is B.

Answer:

131.88 cm²

Step-by-step explanation:

At = 2×Acircle + Arectangle

= 2×π·r² + w×h

w = 2π·r = 2·3.14·3 = 18.84 cm

At = 2·3.14·9cm² + 18.84cm·4cm

= 56.52cm² + 75.36cm²

= 131.88 cm²

Answer:

  4 and 5

Step-by-step explanation:

For answering questions like this, it can be useful to remember a few of the powers of small integers:

  2^4 = 16

  2^5 = 32

A logarithm can be considered to be an exponent of the base.

  \(\log_b(x) = a \ \Longleftrightarrow\ b^a=x\)

The ordering of powers of 2 relative to the number of interest (17) is ...

  16 < 17 < 32

  2⁴ < 17 < 2⁵ . . . . . . . . . . . . . . . . . . . expressed as powers of 2

  log₂(2⁴) < log₂(17) < log₂(2⁵) . . . . . log₂ of the above inequality

  4 < log₂(17) < 5 . . . . . . . . . . . . . . . . showing the values of the logs

Log₂(17) lies between 4 and 5.

__

Additional comment

Using the "change of base" formula, you can use a calculator to find the value of log₂(17). It shows you the value is between 4 and 5.

  log₂(17) = log(17)/log(2) . . . . . . using logs to the same base

Answer:

c ) 1280 m^3

here,

slant height (s)= 17m

vertical height ( h)= 15m

length (a)= ?

so,

s^2 = (a/2)^2 + h^2

(17)^2 = (a/2)^2 + 15^2

64 = (a/2)^2

8^2= (a/2)^2

8×2 = a so a = 16

Now we know

volume of pyramid

= 1/3 × a^2 × h

= 1/3 × 16^2 × 15

= 1/3 × 256 × 15

= 1280 m^3

Answer:

his is the day that immediately proceeds the last and final spring sabbat, ... The fact that Beltane and Samhain happen in unison twice a year lends ... You know all those Halloween recipes you've been saving on Pinterest for years now? ... Halloween and Samhain product brands as you can all year long.

Step-by-step explanation:

To solve the inequality 2x < 12, we need to isolate x on one side of the inequality sign. We can do this by dividing both sides by 2:

2x < 12

x < 6

Therefore, the solution to the inequality is x < 6. This means that all values of x that are less than 6 satisfy the inequality. We can represent this graphically on a number line:

<=======()------6-------------->

The open circle () indicates that x cannot be equal to 6, but can be any value less than 6. The arrow indicates that the inequality is true for all values of x to the left of the open circle.

In summary, the solution to the inequality 2x < 12 is x < 6.

I'm 15 BTW

The Apps 'R' charges 1.09 dollars per app. Susan downloaded 2 apps on friday and 3 apps on saturday . Altogether she will spend

Answer:

£9.80

Step-by-step explanation:

The calculation of the total value is given below:

Provided that that

The value of 20p coins is £2.80

So 1p = £2.80 ÷ 20

= £0.14

For 50p it would be

= £0.14 × 50

= £7

Now the total value is

= £2.80 +  £7

= £9.80

Based on the numbers that are all less than 496 and yet divide evenly into 496, the sum is 496

The numbers that are less than 496 and yet are able to divide evenly into it are known as the factors of 496. These numbers will not leave a reminder when they divide 496.

The factors of 496 include:

1, 2, 4, 8, 16, 31, 62, 124, 248, 496.

The sum of these numbers that are less than 496 is:

= 1 + 2 + 4 + 8 + 16 + 31 + 62 + 124 + 248

= 496

In conclusion, the sum of all the numbers less than 496 that are able to divide it evenly is 496.

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The surface area of the prism include the following: C. two hundred seventy-five and one-eighth cm².

In Mathematics and Geometry, the surface area of a rectangular prism can be calculated and determined by using this mathematical equation or formula:

Surface area of a rectangular prism = 2(LH + LW + WH)

Where:

By substituting the given side lengths into the formula for the surface area of a rectangular prism, we have the following;

Surface area of rectangular prism = 2[(23/4 × 4) + (23/4 × 47/4) + (4× 47/4)]

Surface area of rectangular prism = 2[23 + 1081/16 + 47]

Surface area of rectangular prism = 275 1/8 cm².

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The product of the expression 7 x 63 is 441.

We have,

To find the product of 7 x 63 using the distributive property, we can break down 63 as the sum of its factors, such as 60 and 3:

7 x 63 = 7 x (60 + 3)

Now, we can apply the distributive property by multiplying 7 to each term inside the parentheses:

7 x (60 + 3) = 7 x 60 + 7 x 3

Simplifying further:

7 x 60 + 7 x 3 = 420 + 21

Therefore,

The product of 7 x 63 is 441.

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Answer:

2x^2 - 6x + 7 - (5x^2 + 2x - 8)

Distributive a -1 to each term in the parentheses.

2x^2 - 6x + 7 - 5x^2 - 2x + 8

Combine like terms.

-3x^2 - 8x + 15 is the expression after being subtracted.

Answer:

Step-by-step explanation:

(2x² − 6x + 7) − (5x²  + 2x +8)

To find the opposite of 5x²  + 2x + 8, find the opposite of each term.

2x²  − 6x + 7 − 5x²  − 2x − 8

Combine 2x²  and −5x²  to get −3x²

−3x²  − 6x + 7 − 2x − 8

Combine −6x and −2x to get −8x.

−3x² − 8x + 7 − 8

Subtract 8 from 7 to get −1.

−3x² − 8x − 1

Answer:

9,600,102

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