Work out 6 x (11- 3)

The lengths of the missing sides are: y = 7.0 * sqrt(2) and x = 7.0 * sqrt(2)

Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always 180 degrees.

According to the 45-45-90 triangle theorem, the two legs of a 45-45-90 triangle are congruent and the hypotenuse is the square root of 2 times the length of the legs. Therefore, if the side opposite the 45-degree angle is 7, then the other leg is also 7.

Let's label the hypotenuse as h. We know that h is the side opposite the right angle, so h = x. Using the Pythagorean theorem, we can find the length of x:

\(x^2 = 7^2 + 7^2x^2 = 98x = sqrt(98) = 7.0 * sqrt(2)\)

So the length of the hypotenuse is 7.0 * sqrt(2).

Now let's find the length of the side opposite the other 45-degree angle, which we'll label as y. Since the two legs are congruent, y is also equal to 7.0 * sqrt(2).

Therefore, the lengths of the missing sides are: y = 7.0 * sqrt(2) and x = 7.0 * sqrt(2)

To learn more about Triangle from given link.

brainly.com/question/30599944

#SPJ1

Answer:

I put down my steps in the comment section. If you still don't understand just comment to me.

Step-by-step explanation:

Answer: I answered 6-11

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Answer:

4/6 or in simplest form 2/3.

Step-by-step explanation:

2-(-2)/4-(-2)= 4/6

Answer:

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

Let the amount deposited be x. It is assumed we are talking about simple interest.

After 4 years the interest amount is:

95% of this amount is Rs 4940:

Mrs Majhi deposited Rs 20000.

Mrs. Majhi deposited Rs 20000 in her bank account. This was calculated by first finding the total interest (before tax) and then using the formula for simple interest to determine the principal amount.

The question is based on the concepts of Simple Interest and taxation. We know that Mrs Majhi received Rs 4940 as net interest after 4 years and this amount is 95% of the total interest (since 5% was paid as income tax). The total interest can be calculated as (4940 / 95) * 100 = Rs 5200.

The rate of interest is given as 6.5% per annum. Thus, the money deposited (Principal) by her can be calculated using the formula for simple interest (I = PRT/100), where P is the Principal, R is the rate of interest, and T is the time. Re-arranged to calculate the Principal (P), it becomes P = I / (R*T) = 5200 / (6.5*4) = Rs 20000.

https://brainly.com/question/32543341

#SPJ2

Step-by-step explanation:

I think second option is correct option....

hopefully it's correct

There are 4 groups of 7/4 in 1. This means that if we divide 1 into equal parts of size 7/4, we will have 4 such parts.

To determine how many groups of 7/4 are in 1, we need to divide 1 by 7/4.

As we know that division is the inverse operation of multiplication, so we can think of this as finding the number of times we can fit 7/4 into 1.

The reciprocal of 7/4 is 4/7. Therefore, we can rewrite the problem as 1 multiplied by 4/7.

Multiplying 1 by 4/7 gives us (1 × 4)/7 = 4/7.

Thus, there is 4/7 of a group of 7/4 in 1.

This means that if we divide 1 into equal parts of size 7/4, we can fit 4 of those parts.

Learn more about the fraction here:

brainly.com/question/10354322

#SPJ2

Nurse Ben's appropriate response would involve maintaining professionalism, setting clear boundaries, and taking appropriate steps to address any ongoing or escalating behavior. It is crucial to prioritize patient care and uphold the ethical standards of the nursing profession.

When facing a situation where someone behaves seductively towards them, it is important for Nurse Ben to respond in a professional and appropriate manner. The appropriate response by Ben would involve maintaining professional boundaries and ensuring a respectful and ethical environment. Here are some steps Ben can take to respond appropriately:

For more such questions on professionalism, click on:

https://brainly.com/question/28146384

#SPJ8

The probable question could be:

Nurse Ben is confronted with Susan Choi's seductive behavior. Susan choi behaves seductively towards nurse ben. which of the following responses by ben is appropriate?

Answer:

the vertex point is at (-1/8)

Step-by-step explanation:

the general equation of a parabola in a "y = ..." orientation is

y = a(x – h)² + k

where (h, k) is the vertex.

the axis of symmetry is

x = h

and for the form

y = ax²+ bx + c

this means

x = - b/(2a)

we have here

y = 3x² + 6x - 2

so we get the axis of symmetry directly :

x = -6/(2×3) = -6/6 = -1

x = -1

and we know x = h.

so we have

y = 3(x + 1)² + k = 3(x² + 2x + 1) + k =

= 3x² + 6x + 3 + k

comparing it to our original equation we see

3 + k = -2

k = -5

so, the vertex is

(-1, -5)

Answer:

Step-by-step explanation:

-8 minus 2 is equal to -6.

The lowest point should be used for measurement. To acquire a correct reading, students must read the meniscus at eye level. In order to read the meniscus at eye level, students need first set the graduated cylinder on the table and then stoop.

A measuring cylinder, often referred to as a graded cylinder, a cylinder measuring cylinder, or a mixing cylinder, is a piece of lab apparatus used to gauge the quantity of fluids, chemicals, or solutions used during a typical lab session. Compared to common laboratory flasks and beakers, graduated cylinders offer higher precision and accuracy. The graduated cylinder is a scientific tool that employs the metric system rather than the American standard system, so measurements are made in millilitres rather than ounces. The volume of an object or quantity of liquid is measured using a graduated cylinder, a common piece of laboratory glassware. It is a glass cylinder with side markings resembling those on a measuring cup, as its name suggests.

To know more about graduated cylinder here

https://brainly.com/question/24869562

#SPJ4

Answer:

41

Step-by-step explanation:

a^2+b^2=c^2

So...

40^2+9^2=1681

√1681=41

The possible 3rd degree binomial with a constant term of 888 is x^3 + 2x^2 + 3x + 888, for the given one degree of freedom.

To find a 3rd degree binomial with a constant term of 888, we can start by writing the general form of a 3rd degree binomial: ax^3 + bx^2 + cx + d.

Since we want the constant term to be 888, we can set d = 888.

Now, we need to choose values for a, b, and c. We have one degree of freedom, so we can choose any values for a, b, and c as long as they satisfy the condition of being a 3rd degree binomial.

For example, let's choose a = 1, b = 2, and c = 3.

Therefore, a possible 3rd degree binomial with a constant term of 888 is x^3 + 2x^2 + 3x + 888.

Know more about the binomial

https://brainly.com/question/15246027

#SPJ11

Answer:

D

Step-by-step explanation:

when you add 5.1 and 7.7 together it would be 12.8 but you have to move the decimal to the left again since it has more than one number to the left then the ^5 would turn into ^6 and 1.28x10^6 is 1,280,000 and the other is only 1,000,000

Answer:

D

Step-by-step explanation:

Answer:

0.116

Step-by-step explanation:

\((30.72*0.05)-1.42\\1.536-1.42=\\0.116\)

Your answer is 0.116

Step-by-step explanation:

a) The number of different arrangements can be formed by using all letters of the word DISTRIBUTION if the last letter must be 'T'.Solution: First of all, we count the number of ways of arranging the letters of the word DISTRIBUTION. This can be done in 11! ways.

Now, to find the number of arrangements such that the last letter is 'T', we treat 'T' as a distinguishable letter (different from the other T's in the word). Thus, the number of ways of arranging the letters of the word DISTRIBUTION such that the last letter is 'T' is the same as the number of ways of arranging the letters of the word DISTRIBUTIONT. This can be done in 11!/2! ways.

Hence, there are 5,355,600 different arrangements that can be formed by using all letters of the word DISTRIBUTION if the last letter must be 'T'.

There are 5,355,600 different arrangements that can be formed by using all letters of the word DISTRIBUTION if the last letter must be 'T'.b) Venn Diagram of Events A and B:Here, The area of U represents the total sample space. The area in the middle of A and B represents the event A ∩ B, that is, the intersection of A and B. The area in A but not in A ∩ B represents A but not B.

The area in B but not in A ∩ B represents B but not A. The area outside of A and B represents neither A nor B.The formula for P(AUB) is given by:P(AUB) = P(A) + P(B) - P(A ∩ B)Given, P(A) = 0.6, P(B) = 0.7 and P(A/B) = 0.2. Also,P(B/A) = P(A ∩ B) / P(A)P(A ∩ B) = P(A/B) * P(A) = 0.2 * 0.6 = 0.12P(AUB) = P(A) + P(B) - P(A ∩ B)= 0.6 + 0.7 - 0.12= 1.18 - 0.12= 1.06.

Therefore, the events A and B can be illustrated using the Venn diagram, and the value of P(AUB) is 1.06.

To know more about Venn Diagram  :

brainly.com/question/20795347

#SPJ11

The margin of error for the 90% confidence interval is 0.012.

Given, a 90% confidence interval for the proportion of Americans with cancer was found to be (0.185, 0.210)

To calculate the margin of error, we can use the following formula:

margin of error = (upper limit of the confidence interval - lower limit of the confidence interval) / 2

Substitute the given values,

margin of error = (0.210 - 0.185) / 2 = 0.0125 ≈ 0.012

Therefore, the margin of error for the confidence interval (0.185, 0.210) is 0.012.

#SPJ11

Let us know more about confidence interval: https://brainly.com/question/32546207.

Answer: 4.5 pounds.

Step-by-step explanation:

Given : Weight of original pipe =45 pounds

Weight of first piece = 18 pounds

Then, Weight of  other piece = 45- 18 =  27 pounds

Length of first piece = 3 feet

Let x be the length of other piece.

As length is directly proportional to weight.

Then, \(\dfrac{x}{27}=\dfrac{3}{18}\)

\(\Rightarrow\ \dfrac{x}{27}=\dfrac{1}{6}\\\\\Rightarrow\ x=\dfrac{1}{6}\times27 =4.5\)

Hence, the he length of the other piece = 4.5 pounds.

Answer:

18.84

Step-by-step explanation:

:)

Answer:

Step-by-step explanation:

x^3+x^2-17x+15  replace x with 3

3^3+3^2-17(3)+15 =0

27+9-51+15  combine

=0

The next term of the given geometric series is the fifth term which is; a₅ = 4

We are given the geometric series as;

1024, -256, 64, -16,.....

The formula to find the nth term of a geometric series is;

aₙ = ar^(n - 1)

where;

a is first term

r is common ratio

n is position of term

Thus, from the given series, we have that;

a = 1024

r = -256/1024

r = -1/4

Thus, the formula for the nth term of the series is;

aₙ = 1024(-¹/₄)^(n - 1)

Next term is the fifth term and so we have;

a₅ = 1024(-¹/₄)^(5 - 1)

a₅ = 1024(-¹/₄)^(4)

a₅ = 4

Read more about nth term of geometric series at; https://brainly.com/question/24643676

#SPJ1

Answer:

x = 24

Step-by-step explanation:

if a and b are parallel then

62 and 5x - 2 are same- side interior angles and sum to 180° , that is

5x - 2 + 62 = 180

5x + 60 = 180 ( subtract 60 from both sides )

5x = 120 ( divide both sides by 5 )

x = 24

thus for a to be parallel to b , then x = 24

Answer: x-intercept is -1      y-intercept is 2

Step-by-step explanation: look for the intersection

To find the value of x, we can use the fact that the sum of the angles in a triangle is 180 degrees. By subtracting the given angles a and b from 180 degrees, we can find the measure of angle x.

In a triangle, the sum of all three angles is always 180 degrees. Therefore, we can set up the equation:

a + b + x = 180

Substituting the given values for a and b:

78° + 47° + x = 180°

To solve for x, we can subtract 78° and 47° from both sides of the equation:

x = 180° - 78° - 47°

x = 55°

Hence, the value of angle x is 55 degrees.

Learn more about triangle here:

https://brainly.com/question/2773823

#SPJ11

it have manny solution it depand on a method u are using

Answer:

The minimum income level for this target group is of $51,253.6.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of $41,182 and a standard deviation of $11,990

This means that \(\mu = 41182, \sigma = 11990\)

Find the minimum income level for this target group.

The 100 - 20 = 80th percentile, which is X when Z has a p-value of 0.8, so X when Z = 0.84.

\(Z = \frac{X - \mu}{\sigma}\)

\(0.84 = \frac{X - 41182}{11990}\)

\(X - 41182 = 0.84*11990\)

\(X = 51253.6\)

The minimum income level for this target group is of $51,253.6.

The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x. The cab charges $0.88 for a ride of 2 miles. And the cab charges $1.72 for a trip of 8 miles.

a. The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x

b. To find the number of miles for a cab ride that costs $0.88, we can set up the equation:

$0.88 = $0.60 + $0.14 * x

Subtracting $0.60 from both sides, we get:

$0.88 - $0.60 = $0.14 * x

$0.28 = $0.14 * x

Dividing both sides by $0.14, we find:

x = $0.28 / $0.14

x = 2 miles

Therefore, the cab charges $0.88 for a ride of 2 miles.

c. To calculate the cost of a trip of 8 miles, we can substitute x = 8 into the equation:

Cost = $0.60 + $0.14 * 8

Cost = $0.60 + $1.12

Cost = $1.72

Therefore, the cab charges $1.72 for a trip of 8 miles.

For more such questions on charges , Visit:

https://brainly.com/question/30478263

#SPJ11