PLEASE HELP URENT What is the length of leg s of the triangle below?
45°
412
90°
45°
S
O A. 4
O B. 2
O C. 4.4
O D. 1
O E. 52
O F. 5.6

Answer:

∠ GOF = 55°

Step-by-step explanation:

∠ LON and ∠ GOF are vertically opposite angles and are congruent, then

∠ GOF = 55°

Answer:

12 inches tall. Remember the conversion equations!!!!

Step-by-step explanation:

H = 1/2 Base divided by Area

1/2 of 4 = 2 (2/4 = 2)

2 ÷ 24 = 12

Dacia asks Katarina to tell her what the values of y are that can make sin θ negative. The correct answer is: "For y values greater than or equal to zero.

In the first quadrant (0 < θ < π/2), all trigonometric functions are positive.

In the second quadrant (π/2 < θ < π), only the sine is positive.

In the third quadrant (π < θ < 3π/2), only the tangent is positive.

Finally, in the fourth quadrant (3π/2 < θ < 2π), only the cosine is positive.

Therefore, sin θ is negative in the 3rd and 4th quadrants. In other words, for values of θ where sin θ is negative, you should look for θ values that fall in the 3rd and 4th quadrants.

Therefore, when Katarina responds to Dacia, "For y values greater than or equal to zero," it is incorrect as for the negative values of sin, θ must fall in the 3rd and 4th quadrants.

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Answer:

\(3\sqrt{5}\)

Step-by-step explanation:

Since the triangle has a right angle, we are going to use pythaogoran theoem, which is \(a^{2} +b^{2} =c^{2}\), where a and b are the legs and and c is the hypotunese/ slated side.  Let set it up.

\(3^{2} +6^{2} =c^{2}\)

9+36=c^2

45=c^2

\(\sqrt{45}\)=

Then we are going to find a perfect squarre root(1,4,9,16,25....) to simplify the radical

The perfect square root is 9 because 9 goes into 45 5 times.

\(\sqrt{9x5}\)

Then take the sqr root of 9 and we have \(3\sqrt{5}\)

Answer:

If I had to guess, it would be the first option. Any calculator program I put it into is giving me 4x+1/8

Step-by-step explanation:

Sorry I wasn't able to help much, good luck though!

Answer:

C

Step-by-step explanation:

distrubute the 3/2

3/2*x + 3/2*3/4

3/2x+9/8

-(x+1) distrubute the negative 1

-x-1

combine like terms

3/2x-x

9/8-1

= 1/2x+1/8

Answer:

Step-by-step explanation:

Definition of an absolute value is:

\(|a|=\left \{ {{a, if a\geq 0} \atop {-a, if a<0}} \right.\)

1). Assume that (y + 2) ≥ 0, then

y + 2 > 6 ⇒ y > 4

2). Now, if (y + 2) < 0, then

- (y + 2) > 6 ⇔ - y - 2 > 6 ⇒ y < - 8

y ∈ ( - ∞ , - 8) ∪ (4 , ∞ )

The person that solves the equation correctly is Sarah. It should be noted that the mistake that Kayla made is that she added 2x + 3x rather than subtracting it.

It should be noted that an equation is simply used to illustrate the relationship between two variables.

In this case, the solution to the equation will be:

5x - 15 - 3x = 10 - (-3x + 20)

2x - 15 = 10 + 3x - 20

2x - 3x - 15 = -10 + 3x - 3x

-1x - 15 = -10

-1x - 15 + 15 = -10 + 15

-1x = 5

x = -5

Therefore, the person that solves the equation correctly is Sarah. It should be noted that the mistake that Kayla made is that she added 2x + 3x rather than subtracting it.

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Answer:

Domain:All real numbers greater than or equal to 0 and less than or equal to 50

Range:all real numbers greater than or equal to 0 and less than or equal to 100

Domain-x

Range-y

I hope this is good enough:

Answer:

b = 2

Step-by-step explanation:

Factor: 0 = (b - 2)(b - 2)

b = 2

The truck travelled 0.42 miles per minute

The given parameters are:

Distance = 75 miles

Time = 3 hours

Convert time to minutes

Time = 3 * 60 minutes

Time = 180 minutes

The speed is calculated as:

Speed = Distance/Time

This gives

Speed = 75 miles/180 minutes

Evaluate

Speed = 0.42 miles per minutes

Hence, the truck travelled 0.42 miles per minute

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Simple interest refers to the straightforward crediting of cash flows associated with some investment or deposit. If Khalid makes an investment at 4% simple interest. at the end of 1 year, the total value of the investment is $1560. Then the original investment is $1500.

Simple interest refers to the straightforward crediting of cash flows associated with some investment or deposit.

Percent to decimal 4%=4/100=0.04

A=P(1+rt)

where A is the final amount

P is initial principle balance, t is time and r rate of interest.

1560=P(1+0.04)

1560=1.04P

P=1560/1.04

P=1500

Therefore $1500 is originally invested.

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Answer:

40 miles

Step-by-step explanation:

2.5 miles / .25 hours = 10 miles per hour

(10 miles per hour)(4 hours) = 40 miles

Step-by-step explanation:

please mark me as brainlest chelli

(a) The expression for a Riemann sum of a function f on an interval [a, b] is Δx = (b-a)/n

(b) If f(x)⩾ 0, then the geometric interpretation of a Riemann sum is infinity

(c) If f(x) takes on both positive and negative values, then the geometric interpretation of a Riemann sum is infinity

Riemann sums are an important tool in calculus for approximating the area under a curve. They are used to estimate the value of a definite integral, which represents the area bounded by the curve and the x-axis on a given interval. In this explanation, we will discuss the expression for a Riemann sum, its notation, and its geometric interpretation.

(a) Expression for a Riemann sum:

A Riemann sum is an approximation of the area under a curve using rectangles. We divide the interval [a, b] into n subintervals, each of length Δx=(b−a)/n. The notation used to represent this is:

Δx = (b-a)/n

(b) Geometric interpretation of a Riemann sum when f(x)⩾ 0:

If f(x) is always non-negative, the Riemann sum represents an approximation of the area between the curve and the x-axis on the interval [a, b].

Each rectangle has a positive area, which contributes to the overall area under the curve. The sum of the areas of the rectangles approaches the true area under the curve as the number of subintervals n approaches infinity.

(c) Geometric interpretation of a Riemann sum when f(x) takes on both positive and negative values:

When f(x) takes on both positive and negative values, the Riemann sum represents the net area between the curve and the x-axis on the interval [a, b].

Each rectangle may have a positive or negative area, depending on the sign of f(xi).

The positive areas represent regions where the curve is above the x-axis, and the negative areas represent regions where the curve is below the x-axis.

In conclusion, Riemann sums are used to approximate the area under a curve on an interval [a, b]. The expression for a Riemann sum involves dividing the interval into n subintervals and approximating the area under the curve using rectangles.

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The chemicals under considerationm an important quantity is the total proportion Y1 +Y2 found in any sample.V(Y1 + Y2) = Var(Y1) + Var(Y2) + 2Cov(Y1, Y2) = 1/18 + 1/18 + 2(1/144) = 5/72.

To find E(Y1 + Y2), we first find the marginal distribution of Y1 and Y2 by integrating the joint density function over the other variable as follows:

f1(y1) = ∫f(y1,y2)dy2 = ∫2dy2 from 0 to 1-y1 = 2(1-y1) for 0 ≤ y1 ≤ 1

f2(y2) = ∫f(y1,y2)dy1 = ∫2dy1 from 0 to 1-y2 = 2(1-y2) for 0 ≤ y2 ≤ 1

Now we can find E(Y1 + Y2) as follows:

E(Y1 + Y2) = ∫∫(y1 + y2)f(y1,y2)dy1dy2

= ∫∫(y1 + y2)2dy1dy2 over the region 0 ≤ y1 ≤ 1-y2, 0 ≤ y2 ≤ 1

E(Y1 + Y2) = ∫0^1∫0^(1-y1) (y1 + y2)2dy2dy1

= ∫0^1[y1(y1/2 + 2/3) + 1/3]dy1

= 7/12

To find V(Y1 + Y2), we can use the fact that V(Y1 + Y2) = V(Y1) + V(Y2) + 2Cov(Y1, Y2), where Cov(Y1, Y2) is the covariance of Y1 and Y2. First, we need to find the variances of Y1 and Y2:

Var(Y1) = E(Y1^2) - [E(Y1)]^2 = ∫∫y1^22dy1dy2 - [∫∫y1f(y1,y2)dy1dy2]^2

= ∫0^1∫0^(1-y1) y1^22dy2dy1 - [∫0^1(2y1-2y1^2)dy1]^2

= 1/18

Var(Y2) = E(Y2^2) - [E(Y2)]^2 = ∫∫y2^22dy1dy2 - [∫∫y2f(y1,y2)dy1dy2]^2

= ∫0^1∫0^(1-y2) y2^22dy1dy2 - [∫0^1(2y2-2y2^2)dy2]^2

= 1/18

Now we need to find the covariance of Y1 and Y2:

Cov(Y1, Y2) = E(Y1Y2) - E(Y1)E(Y2) = ∫∫y1y2f(y1,y2)dy1dy2 - (∫∫y1f(y1,y2)dy1dy2)(∫∫y2f(y1,y2)dy1dy2)

= ∫0^1∫0^(1-y1) 2y1y2dy2dy1 - (7/12)(7/12)

= 1/144

Therefore, V(Y1 + Y2) = Var(Y1) + Var(Y2) + 2Cov(Y1, Y2) = 1/18 + 1/18 + 2(1/144) = 5/72.

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\(\frac{22}{3}\) Have a good day.

Step-by-step explanation:

When two lines are perpendicular, the product of their slope/gradient = -1. Another way of thinking of this is that they are negative-reciprocal of each other.

Let y = 4x + 6 be [a]  & the perpendicular line [b]

     since the slope of [a] = 4

      then the slope (m) of [b] = - ¹/₄

Since we know the slope of [b], we can use the point-slope form (y - y₁) = m (x - x₁);     where (x₁ , y₁) = (10 , 2)  &  m =   - ¹/₄

∴ the equation of the perpendicular line :   (y - 2) =  - ¹/₄ (x - 10)

Answer:

x = 3.24, x = -1.24

Step-by-step explanation:

The standard form for a quadratic equation is \(ax^2+bx+c=0\). For your equation a = 1, b = -2, c = -4. The quadratic formula you will be using is \(x=\frac{-b\pm \sqrt{b^{2} -4ac} }{2a}\).

Plug in a = 1, b = -2, and c = -4 into the formula.

\(=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:1\cdot \left(-4\right)}}{2\cdot \:1}\)

We'll do the top part first:

\(\sqrt{\left(-2\right)^2-4\cdot \:1\cdot \left(-4\right)}\)

Apply rule \(- (-a) = a\)

\(=\sqrt{\left(-2\right)^2+4\cdot \:1\cdot \:4}\)

Apply exponent rule \((-a)^{n} =a^n\) if \(n\) is even

\((-2)^2=2^2\)

\(=\sqrt{2^2+4\cdot \:1\cdot \:4}\)

Multiply the numbers

\(=\sqrt{2^2+16}\)

\(2^2=4\)

\(=\sqrt{4+16}\)

Add

\(=\sqrt{20}\)

The prime factorization of 20 is \(2^2*5\)

20 divides by 2. 20 = 10 * 2

\(=2*10\)

10 divides by 2. 10 = 5 * 2

\(=2* \:2*5\)

2 & 5 are prime numbers so you don't need to factor them anymore

\(=2*2*5\)

\(=2^2*5\)

\(=\sqrt{2^2\cdot \:5}\)

Apply radical rule \(\sqrt[n]{ab} =\sqrt[n]{a} \sqrt[n]{b}\)

\(=\sqrt{5}\sqrt{2^2}\)

Apply radical rule \(\sqrt[n]{a^{n} } =a\); \(\sqrt{2^2} =2\)

\(=2\sqrt{5}\)

\(=\frac{-\left(-2\right)\pm \:2\sqrt{5}}{2\cdot \:1}\)

Because of the \(\pm\) you have to separate the solutions so that one is positive and the other is negative.

\(x=\frac{-\left(-2\right)+2\sqrt{5}}{2\cdot \:1},\:x=\frac{-\left(-2\right)-2\sqrt{5}}{2\cdot \:1}\)

Positive x:

\(\frac{-\left(-2\right)+2\sqrt{5}}{2\cdot \:1}\)

Apply rule \(-(-a)=a\)

\(=\frac{2+2\sqrt{5}}{2\cdot \:1}\)

Multiply

\(=\frac{2+2\sqrt{5}}{2}\)

Factor \(2+2\sqrt{5}\) and rewrite it as \(=2\cdot \:1+2\sqrt{5}\). Factor out 2 because it is the common term. \(=2\left(1+\sqrt{5}\right)\).

\(=\frac{2\left(1+\sqrt{5}\right)}{2}\)

Divide 2 by 2

\(x=1+\sqrt{5}\) or \(x=3.24\) (You'll probably have to use a calculator for the square root of 5)

^Repeating the process of positive x for negative x in order to get \(x=1-\sqrt{5}\) or \(x=-1.24\)

Probability determines the likelihood of an event occurring: P(A) = f / N. Odds and probability are related but odds depend on the probability. You first need probability before determining the odds of an event occurring.

P(A) = f / N.

probability = 2%/100=0.0002

One of the areas of probability theory is the estimation of the chance of experiments occurring. Using a probability, we can calculate everything from the likelihood of getting heads or tails when flipping a coin to the likelihood of making a research error, for example. It is essential to appreciate the most basic definitions of this branch, such as the formula for computing probabilities in equiprobable sample spaces, the likelihood of two events joining together, the probability of the complementary event, etc., in order to properly understand it .Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. Mathematics has incorporated probability to forecast the likelihood of various events.

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Answer:

It will cost 63.25

Step-by-step explanation:

We can use a ratio to solve

46 dollars       x dollars

--------------- = ---------------

8 people         11 people

Using cross products

46 * 11 = 8x

506 = 8x

Divide each side by 8

506/8 =8x/8

63.25 =x

It will cost 63.25

Answer:

$63.25

Step-by-step explanation:

46/8 = $5.75 each

11 x 5.75 = $63.25

Answer:

22

Step-by-step explanation:

\(f(5)= \\\\5(5)-3=\\\\25-3=\\\\22\)

Hope this helps!

The sample size that would be required for the width of 99% is 2653.

The number of subjects involved in a sample size is referred to as the sample size in market research. A set of people chosen from the general community who are thought to be a representative sample size for that particular study is referred to as the sample size.

The following details are given:

Margin of error, E = 0.025; Significance Level, = 0.01

The proportion p is estimated to be p = 0.53.

The significance level with a critical value of 0.01 is 2.58.

The smallest sample size needed to estimate the population proportion p within the necessary margin of error is determined using the formula shown below:

n >= p*(1-p)*(zc/E)2 n = 0.53 *(1 - 0.53*)2 n = 2652.97 *(1-p)*(2.58/0.025)2

As a result, we determine that n = 2653 is the minimal sample size needed to satisfy the criteria that

n >= 2652.97 and that it must be an integer value.

Sample size is 2653.

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Answer:

B

Step-by-step explanation:

Answer:

Answer B!

Step-by-step explanation:

First solve:

3x+6-2x+4=x+10

Ok so we know x+10 is the answer use the key now:

X is a green rectangle ok so we have that.

1 is a little yellow square so we need 10 of those...

now lets see which one has 1 green rectangle and 10 yellow squares? B!!

Hope this helps!

we conclude that the graphed system of inequalities is the second option

First, notice that we only have the first quadrant shaded, so x and y must be positive, thus:

x ≥ 0

y ≥ 0.

Then we have two lines, such that the shaded part is to the left of the line, and the lines are solids, then we have two inequalities:

y ≤ line 1

y ≤ line 2

Now we can see two lines, such that one with a negative slope has an y-intercept of 5, while the other with a positive slope has an y-intercept of -8.

The only option with these y-intercepts is the second one:

2x - y ≤ 8

x + y ≤ 5

x ≥ 0

y ≥ 0.

So we conclude that the graphed system of inequalities is the second option

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When slave starting a disabled vehicle, the term that serves an important safety consideration is c. The slaving vehicle engine must be running while connecting the slave cable

The dead car is started while the live vehicle's engine is running by inserting a slave cable into the receptacle on each vehicle.

Vehicles with manual transmissions rely heavily on the clutch slave cylinder. When the pedal is depressed, the clutch is disengaged and the transmission is shifted thanks to the slave and clutch master cylinders.

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Answer:

Cause it is more than 50 pounds

Step-by-step explanation: