Pleases help with 4-9!

Answer:

True

Step-by-step explanation:

This is an Isosceles triangle because it has two equal sides.

Answer:

Step-by-step explanation:

Answer:

a. 90

b. 40

c. 55

d. 6

e. 72

Step-by-step explanation:

a: This is a rectangle so all the full corners are 90 degrees. ABC is a corner angle.

b: 1 and 3 are the congruent angles so 3 has the same measure as 1.

C: 1 is a part of the corner, which adds up to 90 degrees. That means angle 2 and angle 1 should add up to 90. They say m<1= 35, so 90-35=55.

d. In a rectangle, the interesecting lines have the same length. AC is 12, so then DB is 12. However, DE is halfway. Half of 12=6.

e. This one has a few steps. Angle 1 is 36, and angle 2 is the other part to the 90 degree corner. 90-36= 54. That gives us angle 2. We know all angles in a triangle add up to 180 degrees. The angle across from angle 2 in the same triangle is the same value, so that is also 54. To find angle 5, it must add up to 180 degrees. 54+54+x=180, in other words. 54+54=108. 180-108=72.

Answer:

C

Step-by-step explanation:

The congruency rules, AAS and ASA do not work as these triangle do not share any congruent angles or sides.

Answer:

cn<fr

Step-by-step explanation:

trust me bro

Answer: Cr<Fr

Step-by-step explanation:

if you look at the angle it gives you, you can tell which inequality is bigger.

The equation of the line is y = -x + 6.Looking at the graph, we can observe that the line passes through the point (1, -5) and (5, -9), indicating a negative slope.

The slope of the line is -1, which matches the coefficient of -x in option OB. Additionally, the y-intercept of the line is -4, which matches the constant term in option OB.

Based on the given graph, it appears to be a straight line passing through the points (1, 5) and (5, 1).

To determine the equation of the line, we can calculate the slope using the formula:

m = (y₂ - y₁) / (x₂ - x₁)

Substituting the values (1, 5) and (5, 1):

m = (1 - 5) / (5 - 1)

m = -4 / 4

m = -1

We can also determine the y-intercept (b) by substituting the coordinates (1, 5) into the slope-intercept form equation (y = mx + b):

5 = -1(1) + b

5 = -1 + b

b = 6.

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In the case of the electronic chess game, with a useful life that follows an exponential distribution with a mean of 30 months, we need to determine the length of service time after which the percentage of failed units will approximately equal 50 percent. The options provided are 9 months, 16 months, 21 months, and 25 months.

For the major television manufacturer, the service life of its 50-inch LED televisions follows a normal distribution with a mean of six years and a standard deviation of half a year. We are asked to calculate the probability of service lives of at least five years.

1. Electronic Chess Game:

The exponential distribution is characterized by a constant hazard rate, which implies that the percentage of failed units follows an exponential decay. The mean of 30 months indicates that after 30 months, approximately 63.2% of the units will have failed. To find the length of service time when the percentage of failed units reaches 50%, we can use the formula P(X > x) = e^(-λx), where λ is the failure rate. Setting this probability to 50%, we solve for x: e^(-λx) = 0.5. Since the mean (30 months) is equal to 1/λ, we can substitute it into the equation: e^(-x/30) = 0.5. Solving for x, we find x ≈ 21 months. Therefore, the length of service time after which the percentage of failed units will approximately equal 50 percent is 21 months.

2. LED Televisions:

The service life of 50-inch LED televisions follows a normal distribution with a mean of six years and a standard deviation of half a year. To find the probability of service lives of at least five years, we need to calculate the area under the normal curve to the right of five years (60 months). We can standardize the value using the formula z = (x - μ) / σ, where x is the desired value, μ is the mean, and σ is the standard deviation. Substituting the values, we have z = (60 - 72) / 0.5 = -24. Plugging this value into a standard normal distribution table or using a calculator, we find that the probability of a service life of at least five years is approximately 1.0000 (or 100% with four digits after the decimal point).

Therefore, the probability of service lives of at least five years for 50-inch LED televisions is 1.0000 (or 100%).

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Answer:

Circumference of circle =2×pi×r=2×3.14×7.2=2×22.608=45.216cm

Step-by-step explanation:

Answer:

diameter=14.4cm

circumference=14.4π or 44.24

Step-by-step explanation:

the diameter is double the radius

7.2×2=14.4 is the diameter

to find the circumference it's d×π

14.4×π= 14.4π

14.4π=45.238934211693 or 44.24 to 2dp

This postulate tells us that when we put two angles side by side with a ray touching the ray of the other angle, we are creating a new angle which is the addition of the two, and whose measure is the addition of the measures of the two angles we are contacting via a common ray.

3y = 3x + 15

or

y = x + 5

Answer:

10x - 1

Step-by-step explanation:

Perimeter = a + b + c

P = 5x - 2 + 3x + 2 + 2x - 1

combinelike terms:

P = 10x - 1

Answer:

\(5+11\sqrt{3}\)

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

Perimeter is the sum of side lengths:

Answer:

\( \frac{18 {x}^{2} + 30x + 8 }{6 {x}^{2} - 58x - 20} \div \frac{3 {x}^{2} - 20x - 32 }{ {x}^{2} - 2x - 48} = \)

\( \frac{9 {x}^{2} + 15x + 4}{3 {x}^{2} - 29x - 10} \times \frac{ {x}^{2} - 2x - 48}{3 {x}^{2} - 20x - 32} = \)

\( \frac{(3x + 1)(3x + 4)}{(3x + 1)(x - 10)} \times \frac{(x + 6)(x - 8)}{(3x + 4)(x - 8)} = \)

\( \frac{x + 6}{x - 10} \)

Answer:

Yes, it is a function because it passed the vertical line test.

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

3/5 are small so we have to find 2/5 which is 40%

2/5=x/100

cross multiply

you'll get: 5x=200

divide and thats how u get 40 %

To solve problems, construct one-variable equations and inequalities.

As opposed to an inequality, which links two different values, an equation declares that two expressions are equal.

Create one-variable equations and inequalities, then utilize them to solve issues.

Include simple rational and exponential equations as well as those resulting from linear and quadratic functions.

In order to answer word problems, students should be able to decipher them and create equations and inequalities.

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By showing for every point x in V, there exists an open ball B(x, ε) that is contained entirely within V we proved V is open.

To prove that V is open, we need to show that for every point x in V, there exists an open ball B(x, ε) that is contained entirely within V.

So take any point x in V. Since s < ||x − a|| < r,

we know that x is at a distance greater than s from a, but less than r.

Say this distance d = ||x − a||.

Now, Consider the point y that is halfway between x and a.

That is, let y = (x + a)/2.

Notice that ||x − y|| = ||a − y|| = d/2.

Since 0 < s < d/2, we know that s + d/2 < d.

Therefore, we can choose ε = d/2 − s such that B(x, ε) is contained entirely within set V.

To see this, let z be any point in B(x, ε). Then ||x − z|| < ε = d/2 − s,

which means that ||x − z|| + s < d/2.

But ||z − a|| ≤ ||x − a|| + ||x − z||, so we have,

⇒ ||z − a|| > ||x − a|| − ||x − z|| > d − (d/2 − s) = d/2 + s > s.

Therefore, z is in V, and since z was arbitrary,

we've shown that B(x, ε) is contained entirely within V.

Thus, we've shown that for every point x in V,

We can find an open ball B(x, ε) that is contained entirely within V. Therefore, V is open.

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Answer:

(1) 1 3/5

Step-by-step explanation:

8(2x+1) – 3 (3x+2)=2(x+5)

first do distributive property:

8(2x+1) – 3 (3x+2)=2(x+5)

16x+8-9x-6=2x+10.

next combine like terms.

16x+8-9x-6=2x+10

7x+8-6=2x+10,

7x+2=2x+10.

Now subtract 2x from both sides.

7x+2-2=2x+10-2

5x+2=10

now subtract 2 from both sides.

5x+2-2=10-2

5x=8

Now you can divide by the coefficient which is 5.

and your answer will be:

\(\frac{8}{5}\)  or \(1\frac{3}{5}\)

In anova, by dividing the mean square between groups by the mean square within groups, a(n) Analysis of variance  statistic is computed.

What is Analysis of variance ?

What are some instances where ANOVA has been applied?

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Answer:

m∠B ≈ 28.05°

Step-by-step explanation:

Because we don't know whether this is a right triangle, we'll need to use the Law of Sines to find the measure of angle B (aka m∠B).  

The Law of Sines relates a triangle's side lengths and the sines of its angles and is given by the following:

\(\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}\).

Thus, we can plug in 36 for C, 15 for c, and 12 for b to find the measure of angle B:

Step 1:  Plug in values and simplify:

sin(36) / 15 = sin(B) / 12

0.0391856835 = sin(B) / 12

Step 2:  Multiply both sides by 12:

(0.0391856835) = sin(B) / 12) * 12

0.4702282018 = sin(B)

Step 3:  Take the inverse sine of 0.4702282018 to find the measure of angle B:

sin^-1 (0.4702282018) = B

28.04911063

28.05 = B

Thus, the measure of is approximately 28.05° (if you want or need to round more or less, feel free to).

Answer:

$43.92

Step-by-step explanation:

1st year:

30 x 10% = 3

30 + 3 = 33

2nd year:

33 x 10% = 3.3

33 + 3.3 = 36.3

3rd year:

36.3 x 10% = 3.63

36.3 + 3.63 = 39.93

4th year:

39.93 x 10% = 3.99

39.93 + 3.99 = 43.92

The factored form of x2 – 10x + 9 is (x - 1)(x - 9).

To factorize the expression \(x^2 - 10x + 9\), we need to find two numbers that multiply to give 9 and add up to -10.

These numbers are -1 and -9.

To see why, we can use the fact that \((x + a)(x + b) = x^2 + (a+b)x + ab\). If we set a and b to -1 and -9, respectively, we get:

\((x - 1)(x - 9) = x^2 - 10x + 9\)

Therefore, the factored form of \(x^2 - 10x + 9 is (x - 1)(x - 9).\)

We can check that this is correct by using the distributive property to expand the factored form:

\((x - 1)(x - 9) = x^2 - 9x - x + 9 = x^2 - 10x + 9\)

This confirms that we have correctly factored the expression.

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Answer:

x=6.3m

Step-by-step explanation:

Let the opposite side be y in 2nd triangle.

tan 27° = y/9

=> tan 27° X 9 = y

∴ y = 4.585m ≈ 4.59m

cos 43° = y/x

=> cos 43° = 4.59/x

=> cos 43° X x= 4.59

=> x = 4.59/cos 43°

∴ x =  6.276m ≈ 6.3m (corrected to 1 dp)

Answer:

65700 seconds a year for 2 times a day

Step-by-step explanation:

The required time an average individual spent time on brushing their teeth in a year is 65700 seconds.

The process in mathematics to operate and interpret the function to make the function or expression simple or more undertandable is called simplifying and the process is called simplification.

Here,
it's approximately 90 seconds for the average person to brush his or her teeth and a person brushes their teeth twice daily.
1 year = 365 days
And in a person spends 90 + 90 seconds brushing their teeth,
Time spent on brushing teeth in 1 year = 180 × 365 = 65700  seconds.

Thus, the required time an average individual spent time on brushing their teeth in a year is 65700 seconds.

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The total weight of the liquid in the tank is approximately 126343 pounds.

To find the volume of a hemisphere, we use the formula:

                   V = (2/3)πr³

Where r is the radius of the hemisphere.

The weight of the liquid will equal the product of the volume and density of the liquid. Hence, the formula for the weight of the liquid is given by

Weight = Volume × Density

Here we have

A tank in the shape of a hemisphere has a diameter of 20 feet. If the liquid that fills the tank has a density of 60.3 pounds per cubic foot

Diameter of the hemisphere = 20 ft

Radius of the hemisphere = 20/2 = 10 ft

Using the volume formula,

Volume of the V = (2/3)πr³

= (2/3)π(10 ft)³

= 2094.395 cubic feet

Since the liquid fills the tank completely, the volume of the liquid is equal to the volume of the hemisphere, which is 2094.395 cubic feet.

The weight of the liquid can be calculated by multiplying the volume of the hemisphere by its density:

= 2094.395 ft³ × 60.3 lb/ft³

= 126342.85 lb

= 126343   [ rounded to nearest pound ]

Therefore,

The total weight of the liquid in the tank is approximately 126343 pounds.

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Using the Pythagorean theorem, we know that the roof of the building is 24 ft far from the ground.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry.

According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

So, the Pythagorean theorem formula:

c² = a² + b²

Now, substitute the values in the formula to calculate the distance between the roofline and the ground.

c² = a² + b²

25² = a² + 7²

625 = a² + 49

a² = 625 - 49

a² = 576

a = √576

a = 24ft

Therefore, using the Pythagorean theorem, we know that the roof of the building is 24 ft far from the ground.

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Answer:

0.240971

Step-by-step explanation: