Solve for x in sin xtan x + tan x – 2sin x + cos x = 0 for 0 ≤ x ≤2π rads.

Answer:

75/4

Step-by-step explanation:

Assuming BA and ED are parallel, we know thay the two triangles are similar.

So,

[tex]\frac{25-x}{x}=\frac{36}{12} \\ \\ \frac{25-x}{x}=3 \\ \\ 25-x=3x \\ \\ 4x=25 \\ \\ x=\frac{25}{4} \\ \\ BD=25-\frac{25}{4}=\frac{75}{4}[/tex]

Step-by-step explanation:

<1 congruent to <5.

<5 congruent to <7.

<1 congruent to <7.

Answer:

don't know but i need thee points

Step-by-step explanation:

Answer:

No he's not correct.

Step-by-step explanation:

If you look closely the 2 and the 3 in the decimals are in different sections so it would not equal 0.5

It would equal 0.23

Answer:

8 2/5

Step-by-step explanation:

42/5

to find the improper fraction, divide the numerator by the denominator

and then find the remainder

42 / 5 = 8  ( 5*8)  the remainder is 42-40 = 2

Put the remainder over the denominator

8 2/5

Hey there!

Question reads….

Which mixed number is equivalent to the improper fraction 42/5?

EQUATION:

42/5

The one that is equivalent to the fraction is:
8 2/5

Reason:

8 2/5

= 8 * 5 + 2 / 5

= 40 + 2 / 5

= 42 / 5

Therefore, your answer should be:

Option C. 8 2/5

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

the answer is congruent making d midpoint

Inscribed angles that are formed by segments which extend from one side of the hypotenuse to the other are right angles.

Therefore, angle PRQ is a right angle and is equal to 90 degrees.

53y - 16 = 90

53y = 106

y = 2

Hope this helps!

Answer:

y=2

Step-by-step explanation:

the angle is 90 degrees which is equal to (53y-16).therefore find a number which you can substitute to get 90 which is y=2

The equation whose solution is the given quantity is 90,000,000 = 2,000,000w + 15,000w where w = $44.67

B = xz + yw

Where,

B = xz + yw

90,000,000 = (20 × 100,000w) + (15,000 × w)

90,000,000 = 2,000,000w + 15,000w

90,000,000 = 2,015,000w

w = 90,000,000 / 2,015,000

= 44.6650124069478

Approximately,

w = $44.67

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Answer:i would need to see the graph but here is what i think you are talking about and it shows how to it popular-    problems  /Algebra/  262080

Step-by-step explanation:

Answer: man i wish i knew

Step-by-step explanation:

Answer:

∠AFB = Acute

∠DFB = Obtuse

∠CFD = Right

Step-by-step explanation:

∠AFB is acute b/c its less than 90°

∠DFB is obtuse b/c it more than 90°

∠CFD is right b/c it's exactly 90°

Answer:

1.0 x 10^0

Step-by-step explanation:

The above works because 10^0 = 1, and 1 x 1 = 1.

Brainliest, please :)

Answer:

A GENERAL NOTE: CHARACTERISTICS OF THE GRAPH OF THE PARENT FUNCTION

f

(

x

)

=

b

x

An exponential function with the form

f

(

x

)

=

b

x

,

b

>

0

,

b

≠

1

, has these characteristics:

one-to-one function

horizontal asymptote:

y

=

0

domain:

(

−

∞

,

∞

)

range:

(

0

,

∞

)

x-intercept: none

y-intercept:

(

0

,

1

)

increasing if

b

>

1

decreasing if

b

<

1

Step-by-step explanation:

hope it helps you

We can see that a and b are parallel, and c and e are parallel, so the correct option is E.

On the diagram, we can see that the angles in the third quadrant of the intersections between a and c, and the intersections between b and c,  are the same angle.

Then, lines a and b must be parallel.

For the intersections with line d, we can see that this time the angle is on the fourth quadrant, so c and d are not parallel.

Finally, for line e, we can see that the known angle is on the first quadrant.

Notice that the angle on the first quadrant will be equal to the angle on the third quadrant.

So for the intersections of a and e, and b and e, on the third quadrant we have the known angle (the same one as in the intersections of a and c, and a and b).

Then c and e are parallel.

Then A and C are true.

Thus, the correct option is E.

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You don't shade a region when graphing just a line, but you do when graphing an inequality.

It should be noted that a graph is a diagram representing a system of connections or interrelations among two or more things by a number of distinctive dots, lines, bars, etc.

It should be noted that an inequality is a relation that makes a non-equal comparison between two numbers or other mathematical expressions.

This is used most often to compare the two numbers on the number line by their size.

On the other hand, the graphing inequalities shows what part of the number line contains values that will be able to satisfy the given inequality.

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Answer:

b

Step-by-step explanation:

the mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

         = [tex]\frac{5+8+12+6+7+10+14+6+13}{9}[/tex]

         = [tex]\frac{81}{9}[/tex]

         = 9

Answer:

9

Step-by-step explanation:

The mean is also known as the average. To find it, we add up all of the data and divide it by how many numbers were added.

5 + 8 + 12 + 6 + 7 + 10 + 14 + 6 + 13 = 81

81/9 = 9

Brainliest, please :)

Step-by-step explanation:

in a rhombus (not rumbus !) all sides are equally long.

that means

7x - 4 = 3x + 12

4x = 8

x = 2

Answer:

Step-by-step explanation:

The sides of a square are equal to each other, it is with the same with rhombus.

With this information, we can Say that [tex]DE[/tex] is equal to line [tex]GD[/tex], with
[tex]DE =7x-4GD=3x+12[/tex]
[tex]7x-4=3x+12\\[/tex]
Take [tex]3x[/tex] from both sides.
[tex]4x-4=12[/tex]
Add 4 to isolate X
[tex]4x=16[/tex]
Divide by 4
[tex]x=4\\[/tex]

So we can say that the value of [tex]x[/tex] is 4

Answer: False

Step-by-step explanation:

The only number that makes this impossible to solve is x = 0

Using right triangle, the length of the ramp is 10.44 ft.

The situation forms a right angle triangle.

The length of the ramp is the hypotenuse side of the right triangle.

Therefore, using Pythagoras theorem,

c² = a² + b²

where

Therefore,

c² = 10² + 3²

c² = 100 + 9

c = √109

c = 10.4403065089

c = 10.44 ft

Therefore, the length of the ramp is 10.44 ft.

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Based on the required rate of return, the real risk free rate, and the inflation premium, the default risk premium on the corporate bonds is 1.2%

The default risk premium can be found as:

=real risk free rate + Inflation premium + default risk premium + liquidity premium + maturity risk premium

Solving gives:

= 0.07 - 0.0275 - 0.0205 - (0.1 x (t - 1)%)

=  0.07 - 0.0275 - 0.0205 - (0.1 x (5 years - 1)%)

= 1.2%

The default risk premium refers to the return that the bond is offering over what a risk-free bond would offer.

This means that the corporate bond described is offering 1.2% more than what a risk-free government bond would offer.

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A random sample of n = 12 individuals is selected from a population with

µ = 70 and a treatment is administered to each individual in the sample. After treatment the sample mean is found to be M = 74.5 with S = 5.20. Based on the sample data, the treatment has a significant effect as per the deduced test statistic. Following are the statements for Null and the Alternate Hypotheses,

H₀: The treatment does not have a significant effect

Hₐ: The treatment has a significant effect

According to the given information,

Size of the sample, n = 12

Population Mean, μ = 70

Sample Mean, M = 74.5

Standard Deviation, S = 5.20

The Null hypothesis is given by,

H₀: The treatment does not have a significant effect (μ = 70)

The Alternate hypothesis is given by,

Hₐ: The treatment has a significant effect (μ ≠ 70)

Since the population standard deviation is unknown, we will use one-sample t-test here.

Test statistic, TS = (M-μ) / (s/√n)

Substituting the given values of M, μ, S, and n, we get,

TS = (74.5-70) / (5.20/√12)

TS = 4.5 / 1.5

TS ≈ 3

The t table now provides critical values of -2.131 and 2.131 at 15 degrees of freedom for a two-tailed test using α = 0.05 (significance level).

Since our test statistic, TS does not fall in the range of the critical values, it falls in the rejection region. Thus, we can reject the null hypothesis and say that the treatment has a significant effect.

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Factorization implies the obtaining of the common factors in an expression.

The term factorization implies the obtaining of the common factors in an expression.

The factors of the expressions are as follows;

1) (x−1)(x+7)

2) (x−2)(x−3)

3) (x+1)(x−7)

4) (x−1)(x+6)

5) (x−3)(x+4)

6) (x+2)(x−4)

7) (x+1)(x−5)

8) (x−1)(x+3)

9) (x+4)(x−4)

10) (x+3)(x−4)

11) (x−3)(x−6)

12) (x+2)(x−7)

13) (x−2)(x−5)

14) (x−3)(x−8)

15) (x+5)(x−6)

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Answer:

0.000862

Hope this helps :) If you have anymore questions just comment

Answer:

0.000862384670817 that is the answer

The proportion of people with IQs above 130 is 2.3%.

Normal distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Here the mean is 100 and a standard deviation of 15.

µ = 100, σ = 15

P(X > 130) =

= P( (X-µ)/σ > (130-100)/15)

= P(z > 2)

= 1 - P(z < 2)

Using excel function:

= 1 - NORM.S.DIST(2, 1)

= 0.023 = 2.3%

The value is 2.3%.

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Answer:

undefined

Step-by-step explanation:

slope = (y_2 - y_1)/(x_2  x_1)

slope = (-3 - 4)/(6 - 6)

slope = -7/0

Since division by zero is undefined, this line has undefined slope.

The equation of the inverse function of the function f(x) = 3(x + 5)^2 - 4 is f-1(x) = -5 + √[1/3(x + 4)]

Inverse functions are the opposite of an original equation. This means that for a function f(x), the inverse of the function f(x) is f-(x); it also represents the opposite function

The function f(x) is given as

f(x) = 3(x + 5)^2 - 4

Express f(x) as y

So, we have

y = 3(x + 5)^2 - 4

Swap the positions of x and y

So, we have

x = 3(y + 5)^2 - 4

Add 4 to both sides of the equation

So, we have

x + 4 = 3(y + 5)^2

Divide through by 3

So, we have

1/3(x + 4) = (y + 5)^2

Take the square root of both sides

So, we have

√[1/3(x + 4)] = y + 5

Subtract 5 from both sides of the equation

So, we have

y = -5 + √[1/3(x + 4)]

Rewrite as

f-1(x) = -5 + √[1/3(x + 4)]

Hence, the equation of the inverse function of the function f(x) = 3(x + 5)^2 - 4 is f-1(x) = -5 + √[1/3(x + 4)]

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Answer:

Step-by-step explanation:

The probability that a person chosen at random have run a red light in the past year is 0.45.

Given that 150 people have responded yes and 185 have responded no in a group of people when they asked whether they have run a red light.

Probability lies between 0 and 1. The value of probability can be find by :

Probability= Number items/total items.

Number of people who said that they have run red light=150

Number of people who said that they have not run red light=185

Total people=150+185

=335 people

Probability that a person chosen at random have run red light in the past year=

=Number of people who said that they have run red lights / total people

=150/335

=0.447

After rounding off it will be 0.45.

Hence the probability that a person chosen at random have run a red light in the past year is 0.45.

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