An isosceles triangle has an angle that measures 140°. What measures are possible for
the other two angles? Choose all that apply.
Recommendations
15⁰
70°
45°
20•

Answer:

y = -248

Step-by-step explanation:

Hi there!

Set up a proportion:

\(\displaystyle\frac{124}{12} =\frac{y}{-24}\)

Cross-multiply:

\(12y=(-24)(124)\\12y=-2976\\y=-248\)

I hope this helps!

Answer:

  -22.5

Step-by-step explanation:

Put the numbers in place of the variables and do the arithmetic. This might be easier of you factor the expression first. Your calculator can do this evaluation.

  a^2y +a^3 = a^2(y +a)

  = (-1.5)^2(-8.5 -1.5) = 2.25(-10) = -22.5

Answer:

S₂₇ = 1188

Step-by-step explanation:

using the given formula for \(S_{n}\) , that is

\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )

with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then

S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188

Answer:

660

Step-by-step explanation:

Answer:

As baby porcupine is backed into cactus, so the spines of cactus will feel like spines of mother porcupine. So the baby porcupine will give  call to its mother.

Step-by-step explanation

He said hi Ma.

Answer:

x = - 9

Step-by-step explanation:

2x + 7 = - 11 ( subtract 7 from both sides )

2x = - 18 ( divide both sides by 2 )

x = - 9

The answer is:

x = -9

Work/explanation:

The point of equations is to find the variable's value by isolating it step-by-step.

For this equation, the variable is x.

To isolate it, I will perform a few operations.

First, I will subtract 7 from each side:

\(\sf{2x+7=-11}\)

\(\sf{2x=-11-7}\)

\(\sf{2x=-18}\)

Divide each side by 2

\(\sf{x=-9}\)

Hence, x = -9.

\(\rule{350}{4}\)

C = 2 x pi x r

if r = 5 cm

C = 2 x pi x 5 = 10 x pi

≈ 10 x 3,14 ≈ 31,4 cm

C = 2 x pi x r = pi x d

if d = 2 m

C = pi x 2

≈ 3,14 x 2 ≈ 6,28 m

Hello!

a)

C  = 2πr                     C= 2*π     *5                     31,4cm    

                                   =  2*3,14* 5

d)

r =2/2 => 1m

C=  2πr                   C= 2*π*1                             6,28m

                               =  2 *3,14*1                      

The translation of the verbal expression "4 less than twice a number" in to an algebraic expression is 2n - 4.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.

Given:

Danielle is working on practice problems and must translate the verbal expression "4 less than twice a number" in to an algebraic expression.

Let the number is n.

The phrase can be expressed as,

2n - 4.

Therefore, the expression is 2n - 4.

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The percentage of buyers is approximately 68.26% of buyers of new houses paid between \($149,000\) and \($151,000\) .

We are given that the prices of the new homes are normally distributed with a mean of \($150,000\) and a standard deviation of $1000.

Using the 68-95-99.7 rule, we know that: approximately 68% of the data falls within one standard deviation of the mean approximately 95% of the data falls within two standard deviations of the mean, approximately 99.7% of the data falls within three standard deviations of the mean.

In order to determine the proportion of customers who spent between $149,000 and , we must first determine the z-scores for these values:

z1 = (149,000 - 150,000) / 1000 = -1 z2 = (151,000 - 150,000) / 1000 = 1

Now, we can determine the proportion of data that falls between z1 and z2 using the z-table or a calculator. The region to the left of z1 is 0.1587, and the area to the left of z2 is 0.8413, according to the z-table. Thus, the region bounded by z1 and z2 is:

0.8413 - 0.1587 = 0.6826

We can get the percentage of consumers who spent between by multiplying this by 100% is  \($149,000\)  and \($151,000\):

0.6826 x 100% = 68.26%

Therefore, the standard deviation of customers who paid between is \($149,000\) and \($151,000\)  for this model of new homes.

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The frequency of the wave in the stretched wire, evaluated using the formula for a standing wave in a vibrating string are as follows;

(a) The frequency of the first harmonic is about 28.013 Hz

(b) The frequency of the second harmonic is about 56.026 Hz

(c) The third harmonic frequency is about 84.039 Hz

A stretched string vibrates such that the wavelength of the wave in the string is proportional to the length of the string.

The frequency of a stretched string can be found with the formula;

\(f_1 = \dfrac{\sqrt{\dfrac{T}{m/L} } }{2\cdot L}\)

Where;

T = The tension in the wire = 578 N

m = The mass of the string = 0.341 g

L = The length of the string = 54.0 cm = 0.54 m

Therefore;

f₁ = (√(578/(0.341/0.54))/(2×0.54) ≈ 28.013

(b) A general formula for the frequency of a standing wave is presented as follows;

\(f_n= \dfrac{n \cdot v}{2\cdot L}\)

Where;

\(f_n = \dfrac{n\times \sqrt{\dfrac{T}{m/L} } }{2\cdot L}\)

Therefore, the second harmonics, f₂ = 2·f₁

f₂ = 2 × (√(578/(0.341/0.54))/(2×0.54) ≈ 56.026

(c) The third harmonics, f₃ = 3 × f₁

Therefore;

f₃ = 3 × (√(578/(0.341/0.54))/(2×0.54) ≈ 84.039

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The distance between (-4,3) and (3,3) is 8.485 units.d = √((3 - (-4))2 + (3 - 3)2) ,d = √(72 + 02),d = √72,d = 8.485.

The Euclidean distance between two points (x1,y1) and (x2,y2) is calculated using the following formula:d = √((x2 - x1)2 + (y2 - y1)2) For the points (-4,3) and (3,3), the Euclidean distance is calculated as follows:

d = √((3 - (-4))2 + (3 - 3)2) ,d = √(72 + 02),d = √72,d = 8.485

Therefore, the distance between (-4,3) and (3,3) is 8.485 units.The Euclidean distance is a measure of the straight-line distance between two points in a plane. It is the length of the line segment connecting the two points and is a measure of the magnitude of the difference between two points. Euclidean distance is used in many applications, such as measuring the distance between cities on a map, measuring the distance between points in a graph, and measuring the difference between images. It is also used in machine learning algorithms such as k-means clustering, and in calculating the similarity between two data points.

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By adding 3 to both sides of the equation (6+3)-3=9-3, this demonstrates the addition property of equality. This results in the equation being simplified to 6+3=9.

The properties of equality describe the relationship between two sides of an equation and state that the two sides remain equal even after the same arithmetic operation is performed on each side. a = a, according to the reflexive property of equality. For example, 5 = 5, because the number's value is equal to itself.

As per the addition property of equality, when we add the same number to both sides of an equation then the two sides remain equal. This can be written as, if a = b, then a + c = b + c.

Translated question "Draw a line from each equation to the property of equality it illustrates. (6+3)−3=9−3 Addition Property of Equality"

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Answer:

Below

Step-by-step explanation:

Instead of x , I assume you want the angle.    

  For RIGHT triangles, remember

cos (angle ) = adjacent leg / hypotenuse

cos ( angle ) = 5 /12    

     angle = arccos( 5/12) = 65 °

You could also use pythagorean theorem to calculate the misssing side....then use cos law to calculate the angle.

The simplified form of the expression is \(-32\).

To simplify the expression, we can perform the calculations written below step by step:

\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\)

We follow the order of operations (PEMDAS/BODMAS):

Step 1: Simplify within parentheses:

\(\(4+6 = 10\)\).

Step 2: Perform multiplications and divisions from left to right:

\(\(-2(10) = -20\) and \(-2(4-1) = -2(3) = -6\)\).

Step 3: Evaluate the remaining additions and subtractions:

\(\(-20 + (-2) \cdot 6 = -20 - 12 = -32\)\).

Therefore, the simplified form of the expression \(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\) is \(-32\).\)

When simplifying an expression, several factors need consideration. First, apply the order of operations correctly, respecting parentheses and exponents. Next, combine like terms by adding or subtracting them. Distribute and simplify within parentheses or brackets as needed. Pay attention to negative signs and ensure their proper placement.

Finally, review the simplified expression to ensure accuracy and validity within the given context.

Note: The complete question is:

\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\), calculate the simplified form of this expression.

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\(\textsf{Hey there!}\)

\(\bold{(7+8)+10}\\\\\bold{Do\ PEMDAS\ to\ solve}\\\\\bold{Parentheses}\\\bold{Exponents}\\\bold{Multiplication}\\\bold{Division}\\\bold{Addition}\\\bold{Subtraction}\\\\\\\bold{(7+8)+10}\\\bold{(7+8)=15}\\\bold{15+10=\underline{25}}\\\\\\\\\\\boxed{\boxed{\bold{Answer: 25}}}}\huge\checkmark\)

\(\textsf{Good luck on your assignment and your day!}\)

~\(\frak{Amohitrite1040:)}\)

The domain value that corresponds to a range value of 4 is,

⇒ x = 1/2

Given that;

Function is,

y = 4x + 2

Since, the equation equal to the range value:

4 = 4x + 2

Then, we can solve for "x":

4 - 2 = 4x

2 = 4x

x = 1/2

Now that we have the value of "x", we can find the corresponding value of "y" by substituting it into the given equation:

y = 4x + 2

y = 4(1/2) + 2

y = 4 + 2

y = 6

Therefore, the domain value that corresponds to a range value of 4 is,

⇒  x = 1/2

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9514 1404 393

Answer:

  96 cubic feet

Step-by-step explanation:

A volume that is 16 ft by 18 ft by 1/3 ft will be ...

  V = LWH

  V = (16 ft)(18 ft)(1/3 ft) = 96 ft³

96 cubic feet of concrete are needed.

Answer:

96.25%

Step-by-step explanation:

The empirical rule regarding mean and standard deviation is that

Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find  approximately 95/2 = 47.5% of the values

Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values

Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values

Answer:

6x2-10x-4

Step-by-step explanation:

hx=(2x-4)(3x+1)

hx=2x(3x+1)-4(3x+1)

hx=6x2+2x-12x-4

hx=6x2-10x-4

Answer:

2, 4, and 6

Step-by-step explanation:

Supplementary angles are angles that add to 180°.

We can see that the angles that make a straight line/straight angle with ∠7 are supplementary to it, because a straight line is 180°.

Those numbers would be be 2, which equals to 4, which equals to 6 and also 8, but that number isn't one of the answers

2,4, and 6

The limits \(\lim_{x \to 0 } f(x)\) exists and the function f(x) is continuous at x = 0

Other solutions are shown below

The domain of a function is the set of all possible input values, while the range is the set of all possible output values.

From the graph, we have the domain and the range to be:

From the graph, we have the values of the function to be

f(-4) = 1 and f(-6) = 2

From the graph, we have the values of the limits to be

\(\lim_{x \to 4^{-} } f(x) = -2\)

\(\lim_{x \to 4^{+} } f(x) = 2\)

Yes, the limit  \(\lim_{x \to 0 } f(x)\)

To check if a function is continuous at x=0, you need to check three conditions:

Hence, the function is continuous at x = 0

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Answer:

i got

\( - \frac{11}{12} \)

I do not know if I'm right please tell me me if I'm wrong

14)The sum of the tangent and the sine of the angle is obtained as 1.21.

15)The area of the segment is 95.6 m^2 while the perimeter of the segment is 11.047 m.

16)The angle opposite the largest side is  130°.

The trigonometric ratios are the ratios that are designated as cos, tan and sine. It is important to note that the  trigonometric ratios are particular to the right angled triangle. The meaning of the right angle triangle is that one of the angles in the triangle is about 90 degrees.

14)) We can find the hypotenuse by the use of the Pythagoras theorem that is used to find the parts of the right angle triangle.;

a = √2^2 + 3^2

a = √ 4 + 9

a = 3.6

We know that;

tan θ = 2/3 = 0.66

sin θ = 2/3.6 = 0.55

Then;

tan θ + sin θ

0.66 + 0.55

= 1.21

We can see by the use of the trigonometric ratios that we would obtain the sum of the sine and the tangent as 1.21.

15)

The area of the segment is obtained as;

Area of the triangle;

1/2r^2 sinθ

r= radius of the circle

θ = angle of inclination

1/2 * (10)^2 * sin 60

= 43.3

Area of the sector;

60/360 * 3.142 * (10)^2

= 52.3

Therefore the area of the triangle is;

43.3 +  52.3 = 95.6 m

b)The perimeter of the segment;

(2πr * θ/360) + 2rsin(θ/2)

(2 * 3.142 * 60/360) + (2 * 10 * sin (60/2))

1.047 + 10

= 11.047 m

16)

Using;

c^2 = a^2 + b^2 - 2abcos C

20^2 = 13^2 + 9^2 - 2(13 * 9) cos C

400 = 250 - 234cosC

400 - 250 = - 234cosC

150 =  - 234cosC

Cos C = -(150/234)

C = Cos-1-(150/234)

C = 130°

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Answer:

5

The value of y is also 5!

The value of pair (x,y) is (5,5)

Hopefully this helped! :D

-LavenderVye

Answer:6

Step-by-step explanation:

when it at 6 dallors the hour is 1

Paul's rent budget is $750, given that his food budget of $225, is 30 percent of his rent budget.

Fractions are representation of quantities as a part of a certain quantity.

Written as a/b, read as a by b, and functions as a divided by b, represents a fraction showing a parts of b equal parts.

a is called the numerator, and b is called the denominator.

Percentages are modified fractions where the whole quantity is represented by 100.

To convert a fraction into percentages we multiply it by 100, while to convert percentages to fraction divided by 100.

In the question, we are given that Paul's budget for food is 30% of the budget he has for rent.

We are asked if his budget for food is $225, what is his budget for rent.

We assume Paul's budget for rent to be $x.

We know that Paul's food's budget is 30 percent of his rent.

Hence, Paul's food budget = 30% of x.

or, Paul's budget for food = 30/100 * x {To convert percentages to fraction divided by 100}

But, we know that Paul's food budget is $225. Thus, we can show that:

225 = 30/100 * x,

or, x = (225*100)/30 = 750.

Thus, Paul's rent budget is $750, given that his food budget of $225, is 30 percent of his rent budget.

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Mean (X + Y) = Mean (X) + Mean (Y).

The above statement is false.

Discrete Random Variable:

A discrete random variable can be defined as a type of variable whose value depends on the numerical outcome of some random phenomenon. Also called a random variable. Discrete random variables are always easily countable integers. A probability mass function is used to describe the probability distribution of a discrete random variable.

Probability Distributions of Discrete Random Variables:

Probability distributions of discrete random variables list the probabilities associated with each possible outcome. Also called probability function or probability mass function.

The probability of a discrete random variable is between 0 and 1. Also, the sum of the probabilities of a discrete random variable is equal to 1. The probability distribution of discrete random variables resembles the normal distribution.

Example:

Suppose two dice are rolled and a random variable X is used to represent the sum of the numbers. The minimum value of X goes from result 1 + 1 = 2 to 2 and the maximum value goes from result 6 + 6 = 12 to 12. Therefore, X can have any value between 2 and 12 (inclusive). If probabilities are assigned to each outcome, we can determine the probability distribution of X.

Discrete random variables should not be confused with algebraic variables. Algebraic variables represent the values ​​of unknown quantities in computable algebraic equations. However, a discrete random variable can have a range of possible values ​​that result from experimentation.

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