Two angles in a triangle add up to 139 degrees. What is the size of the third angle?

Answer:

An essential task

Step-by-step explanation:

An essential task sounds the least demanding or forcing. A mandatory task sounds like you are forced to do it, and a compulsory sounds like you are being forced as well. An essential task just sounds better.

Hope this helps!

Answer:

it’s essential task

Step-by-step explanation:

if you’re doing IXL 45Q, i did the same one and got it correct! :’)

Answer:

x = 12

y = 9

Step-by-step explanation:

\(\triangle ACD \cong \triangle BCD.. (given) \\\\

\therefore AC \cong BC\\\\

\therefore m(AC) = m(BC) \\\\

\therefore 2x = x + 12\\\\

\therefore 2x - x = 12\\\\

\therefore x = 12\\\\

Similarly \\\\

BD \cong AD\\\\

\therefore m(BD) = m(BD) \\\\

2y - 4= y + 5\\\\

2y - y = 4 +5\\\\

y = 9

\)

Answer:

71 = 35 + 12h

Step-by-step explanation:

71 = 35 + 12h

-35

36 = 12h

/12

3 = h

She worked 3 hours to charge that much

Answer:

  x²/2166784 +y²/2159989 = 1

Step-by-step explanation:

The relationship between the semi-axes and the eccentricity of an ellipse is ...

  e = √(1 -b²/a²)

In order to write the desired equation we need to find 'b' from 'e' and 'a'.

__

Squaring the equation for eccentricity gives ...

  e² = 1 -b²/a²

Solving for b², we have ...

  b²/a² = 1 -e²

  b² = a²(1 -e²)

Using the given values, we find ...

  b² = 1472²(1 -0.056²) = 2166784(0.996864) ≈ 2159989

The desired equation is ...

  x²/2166784 +y²/2159989 = 1

Answer: It is absorbed and heats the atmosphere.​

Step-by-step explanation:  it's absorbed and emitted back toward Earth's surface.

Answer:

To find the segment length indicated, you will need to provide more specific information about the diagram or problem in question. In general, segment length can be determined using geometric formulas, such as the Pythagorean theorem, the distance formula, or the midpoint formula, depending on the specific context and information provided.

The Pythagorean Theorem is a mathematical formula that describes the relationship between the sides of a right triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. The formula is often written as a² + b² = c², where a and b are the lengths of the two shorter sides of the triangle, and c is the length of the hypotenuse. The Pythagorean Theorem is named after the ancient Greek mathematician Pythagoras, who is credited with its discovery, although the theorem was likely known to earlier civilizations as well. The theorem has many practical applications in fields such as engineering, architecture, and physics.

We transformed 630 square yards to square inches, resulting in a value of 816,480 square inches.

To convert 630 square yards to square inches, we can utilize the following unit multipliers:

1 yard = 3 feet (since there are 3 feet in a yard)

1 foot = 12 inches (since there are 12 inches in a foot)

1 square yard = 1 yard × 1 yard = 3 feet × 3 feet = 9 square feet

1 square foot = 12 inches × 12 inches = 144 square inches

Now, we can set up the conversion using the unit multipliers:

630 square yards × (9 square feet / 1 square yard) × (144 square inches / 1 square foot) = 630 × 9 × 144 square inches

Simplifying the calculation:

630 × 9 × 144 square inches = 816,480 square inches

Therefore, 630 square yards is equal to 816,480 square inches.

By using the four unit multipliers and converting yards to feet and then to inches, we successfully transformed 630 square yards to square inches, resulting in a final value of 816,480 square inches.

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Answer:

If f(-5) = 7, then the point P(-5, 7) will be on the graph of f

where -5 is the x-coordinate and 7 is the y-coordinate

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

0 = 0×0.1+8×0

0 = 0+8×0

0= 8×0

0=0

Answer:

t = 2 and t = 3.

Step-by-step explanation:

To solve the equation 2^(2t) - 12(2^t) + 32 = 0, we can use a substitution to simplify the equation. Let's set u = 2^t:Substituting u = 2^t, the equation becomes:u^2 - 12u + 32 = 0Now we have a quadratic equation in terms of u. We can solve it by factoring or using the quadratic formula. Let's try factoring:(u - 4)(u - 8) = 0Setting each factor equal to zero, we have:u - 4 = 0 or u - 8 = 0Solving for u:u = 4 or u = 8Now, substitute back u = 2^t:For u = 4:

2^t = 4Taking the logarithm base 2 of both sides:

t = log2(4)

t = 2For u = 8:

2^t = 8Taking the logarithm base 2 of both sides:

t = log2(8)

t = 3

The tangent line approximation at x= 29.2 is

L(x) = 2x - 1 or L(29.2) = 57.4

The intuitive idea is that a tangent plane “just touches” a surface at a point. The formal definition mimics the intuitive notion of a tangent line to a curve. Let z = f(x,y) be the equation of a surface S in R3, and let P=(a,b,c) be a point on S.

A function f differentiable at tangent.

x=a, we can find that the slope of the tangent of y=f(x) at (a,f(a)) can be found by writing . ). The resulting tangent line through (a,f(a)) and the gradient m=f'(a) is the point-gradient given by

y−f(a)=f'(a)(x−a) has an equation of the form This can also be expressed as y=f'(a)(x−a)+f(a).

Replacing the variable y by the expression L(x) yields points (a, f( a)) called L(x)=f′(a)(x−a)+f(a). , L(x) is just the new name for the tangent, and

f(x)≈L(x) for x near a.

f(x) = 2x - 1

x= 29.0 near to 29.2

f(29.0) = 58 - 1 = 57

f'(x) = 2

So, the point is (29.0, 57) and slope of tangent is 2 .

Tangent line , 57 = 2(29) + b

=> b = -1

then equation is 2x - 1 = y

We to calculate tangent line approximation give as an approximation for at x = 29.2

Tangent line approximation,

y = 2 (29.2) - 1 = 57.4

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The given question is incomplete, complete question is:

Suppose and f (x) = 2x - 1 , what does the tangent line approximation give as an approximation for x= 29.2??

Answer:

diameter is 5 circomerance is 31.4

Step-by-step

The contractor should lower the ramp by approximately 4.62° to meet safety regulations.

We have,

To determine the angle created by the bottom of the ramp and the ground, we can use the trigonometric function of sine.

In the given triangle, the height is 6 ft and the base is 16 ft.

The angle we want to find is opposite the height (let's call it θ).

The sine of an angle is defined as the ratio of the opposite side to the hypotenuse.

sin(θ) = opposite/hypotenuse

sin(θ) = 6/16

sin(θ) = 0.375

To find the angle θ, we can take the inverse sine (also known as arcsine) of 0.375:

θ = arcsin(0.375)

θ ≈ 22.62°

To meet safety regulations, the angle should be no more than 18°. Therefore, the contractor needs to lower the ramp by:

22.62° - 18° ≈ 4.62°

Thus,

The contractor should lower the ramp by approximately 4.62° to meet safety regulations.

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The solution is, the function is  g(x) = (x -5)² + 1

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

we know that,

The vertex form of a quadratic equation is: y = a(x - h)² + k    where

"a" is the vertical stretch

-a is a reflection over the x-axis

h is the horizontal shift (positive = right, negative = left)

k is the vertical shift (positive = up, negative = down)

given that,

f(x) = (x-2)² + 1

now we have,

Given: 3 units left   -->   h = -3

so, we get,          

g(x) = (x - 2- 3)² +1

       =(x-5)² + 1

Hence, The solution is, the function is  g(x) = (x -5)² + 1.

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Answer: 1

Step-by-step explanation:

\((0.1)(9.8)+2(0.1)^2\\0.98+0.02=1\)

The area of the shaded region of the rectangle is approximately 573.92 square feet.

The figure in the image is that of a rectangle with a semi-circle inscribed in it.

The area of rectangle is expressed as:

Area = Length × Width

The area of semi-circle is expressed as:

Area = 1/2 × πr²

To determine the area of the shaded region, we simply subtract the area of the semi-circle from the area of the rectangle.

Area of shaded region = area of rectangle - area of semi-circle

Area of shaded region = ( Length × Width ) - ( 1/2 × πr² )

From the image:

Length = 40 ft

Width = 20 ft

Radius r = 12 ft

Plug the values into the above formula:

Area of shaded region = ( Length × Width ) - ( 1/2 × πr² )

Area of shaded region = ( 40 × 20 ) - ( 1/2 × 3.14 × 12² )

Area of shaded region = ( 800 ) - ( 226.08 )

Area of shaded region = 573.92 ft²

Therefore, the area is approximately 573.92 square feet.

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Step-by-step explanation:

a = k/m    or       ma = k    

using 4 and 9     4* 9 = k = 36

then the equation becomes:

    ma = 36    

  using a = 6

      6 * m = 36     shows m = 6 kg

Answer:

∠ MON = 51°

Step-by-step explanation:

∠ LON is composed of the 2 angles LOM and MON , that is

∠ LOM + ∠ MON = ∠ LON

42° + ∠ MON = 93° ( subtract 42° from both sides )

∠ MON = 51°

Answer:

<MON= 51°

Step-by-step explanation:

Look at the diagram and locate LON. You can see that LON is the angle of the complete line. Now LOM is given which is the angle of a part of the lines. So that means that to find MON we can minus LON with LOM.

<MON= <LON - <LOM

= 93-42

<MON= 51°

Feel free to ask any doubt you have!

Answer:

850 ( 2 multiply by 15 divide by 100)

850 ( 2 multiply 0,15)

850 multiply 0,3

= R255, 00

Answer:

The growth model that represents the population of this city is not linear--it is exponential:

\(f(t) = 10000( {1.025}^{t} )\)

\(t = 0 \: represents \: 2010\)

The relationship between angles R and R is: B. m∠M > m∠R.

The size of the angles in a triangle is related to the length of the side they are opposite to. That is, the largest angle is opposite the longest side and vice versa. This is the basis of the relationship of the corresponding angles of two triangles with two equal sides, and a third unequal sides.

In the image given, we see that two corresponding sides of the two triangles are equal to each other, MN = RS, and MP = RT.

Since the side that is opposite to the third angle in triangle MNP is greater than the side that is opposite to the third angle in triangle RST, NP > ST, therefore, it follows that the size of angle M that is opposite to side NP would be greater than the size of angle R that is opposite to side ST.

In conclusion, we can state that the relationship is, B. m∠M > m∠R.

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By using compound interest formula, we conclude that Sophie deposited $16,638 (rounded to the nearest whole number) into the account.

Compound interest is a method of calculating interest on a principal amount of money, where the interest earned on the initial principal is added to the principal at the end of each compounding period (usually monthly, quarterly, or annually).

We can use the formula for compound interest to solve this problem. The formula is:

\(A = P(1 + r/n)^{(nt)\)

Where:

A = the total amount in the account

P = the principal (initial deposit)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

We know the values for A, r, n, and t, so we can solve for P:

\(A = P(1 + r/n)^{(nt)\)

\(22,099.87 = P(1 + 0.022/2)^{(2*13)\)

\(22,099.87 = P(1.011)^{26\)

22,099.87 = 1.329P

P = 22,099.87 / 1.329

P = 16,637.55

Therefore, Sophie deposited $16,638 (rounded to the nearest whole number) into the account.

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The integers in the set s: {-2,-3,-4,-5} will make the inequality 4p-7 \(\geq\) 9p+8 true are : -3, -4, -5

Let's solve the inequality first

4p -7 \(\geq\)  9p  +8

Taking p's on the same side we will get :

-7 - 8 \(\geq\) 9p - 4p

-15 \(\geq\) 5p

Divide by 5 into both sides

-3 \(\geq\) p

i.e. p \(\leq\) -3

Therefore p must be less than or equal to -3

From the set, we have the numbers -3,-4,-5 which are less than or equal to -3

Hence the integers -3,-4,-5 will make the  inequality 4p-7 \(\geq\) 9p+8 true

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EXPLANATION

Given the variables:

x=12 and x=2

Supposing that both values are roots of a quadratic equation:

x-12 = 0 x -2 = 0

Multiplying both roots:

(x-12)(x-2) = 0

Applying the distributive property:

Adding and multiplying like terms:

Answer:

I'm so sorry for ur sister

The probability that at least one of the codes will have repeating digits is 0.4712.

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Here, The probability of a pin being repeated is 14.7%

⇒ 14.7/100

After Eliminating the decimal point;

⇒ 14.7/100 = 147/1000

Hence,

The probability that a pin, if selected will have a repeating digit format = 147/1000

The probability of a pin not having repeating digits format is,

⇒ 1 - 147/1000

⇒ 853/1000

If four codes are selected at random (without replacement), the probability that all four of the codes will not have repeating digits format is,

⇒ (853/1000) x (852/999) x (851/998) x (850/997)

⇒ 0.5288

Thus, The probability that at least one of them will have repeating digits is,

⇒ 1 - 0.5288

⇒ 0.4712

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Answer: 0

Step-by-step explanation:

When x = 6, y = 0 [since the graph passes through (6,0)].;

Answer:

the answer is A

Step-by-step explanation:

Answer:

B. Add two -1 counters to each side

Step-by-step explanation:

If you were to do this problem normally you would subtract 2 from each side so B just makes sense.

Answer:

x-axis

Step-by-step explanation:

the point is the format of (x,y)

Every point on the x-axis has a y-coordinate of 0