Use Pythagorean theorem to find isos
Find the value of s in the isosceles triangle shown below.
45
745
3
І
Choose 1 answer:

Answer:

-57.6=x

Step-by-step explanation:

-22.3= x/3-3.1
-19.2=x/3
-57.6=x

Given that,

The vertices of a rectangle are (–1, 1), (3, 1), (–1, –4), and (3, –4).

To find,

The perimeter of the rectangle.

Solution,

Let the points are :

A(–1, 1), B(3, 1), C(3, –4) and D(–1, –4)

Let's find AB and BC using distance formula :

\(AB=\sqrt{(3-(-1))^2+(1-1)^2} \\\\=4\ \text{units}\)

\(BC=\sqrt{(3-3)^2+(-4-1)^2} \\\\=5\ \text{units}\)

The perimeter of a rectangle = 2(sum of two adjacent sides)

= 2(AB+BC)

= 2(4+5)

= 18 units

So, the perimeter of the rectangle is 18 units.

Answer:

52.76= 52+0.7+52.76

Step-by-step explanation:

The true statement is; II. Option D

From the information given, we have that;

I. The set of all second-degree polynomials with the standard operations is a vector space

II. The set of all first-degree polynomial functions 'mx' with the standard operations is a vector space

III. The set of second quadrant vectors with the standard operations is a vector space

Note that;

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The slope-intercept equation of the line with a slope of 8 and a y-intercept of (0, 9) is y = 8x + 9.

To find the slope-intercept equation of a line, we use the form y = mx + b, where m represents the slope and b represents the y-intercept.

Given:

Slope (m) = 8

Y-intercept (0, 9)

We can substitute these values into the slope-intercept form:

y = mx + b

y = 8x + 9

Consequently, y = 8x + 9 represents the slope-intercept equation for the line with a slope of 8 and a y-intercept of (0, 9).

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Answer:

15 °C

Step-by-step explanation:

°C = (°F - 32) * (5/9)

Given that the initial temperature was 77 °F and it dropped by 10 °C, we can calculate the final temperature.

Initial temperature: 77 °F

Converting to Celsius:

°C = (77 - 32) * (5/9)

°C ≈ 25

The temperature dropped by 10 °C, so the final temperature is:

Final temperature = Initial temperature - Temperature drop

Final temperature ≈ 25 - 10 = 15 °C

Therefore, the temperature after the storm was approximately 15 °C.

Answer:

you are right it is option a

Step-by-step explanation:

cause

Answer:

22%

Step-by-step explanation:

out of 100, 22 boxes are shaded

The preceding polynomial equation has three solutions: z = 0, z = 3/4, and z = -1/5.

First, we can factor out a common factor of z:

z(20z² - 11z - 3) = 0

Now we need to factor the quadratic expression in the parentheses.

We can use the quadratic formula or factor by grouping to do this. Factoring by grouping yields:

z(20z² - 11z - 3) = 0

z(4z - 3)(5z + 1) = 0

Setting each of the factored terms equal to zero, we have:

z = 0, 3/4, -1/5

Therefore, the solutions to the given polynomial equation are z = 0, z = 3/4, and z = -1/5.

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Answer:

108

Step-by-step explanation:

9 times 12 is 108

The answer is 2¾. You can also buy calculators that do this for you automatically.

Answer:

Step-by-step explanation:

2 3/4

1.option D and 2 is option D too

Basically, addition means to add two or more items or numbers.

We will answer this question thru counting numbers starting from 1.

1, 2, 3, 4, 5, 6, 7, ...

The problem is the sum of 2 and 2.

Initially you 2 and you will add another 2, that's 2 + 2

First, counting from 1.

You need to count 2 times.

So, 1 then 2.

Next is to add two more counts since we are adding 2 from 2.

Starting now from 3, we have 3 then 4.

So to summarize, we have

1, 2, then 3 and 4

The answer is 4.

Answer:

The absolute value of |-8| is 8 and the absolute value of |6| is 6.

Step-by-step explanation:

The option that is not true about polynomial functions is:

Option D. The deg (f ^ 3) = 3m​

For polynomial functions f(x) and g(x), if deg(f) = m * deg(g) = n, then we have the following:

Option A: deg(f + g) = max(m, n)

This is true because we know that the degree of the sum of two polynomials is the maximum of their individual degrees.

Option B: deg(f * g) <= m + n

This is true because we know that the degree of the product of two polynomials is at most the sum of their individual degrees.

Option C: If g is a factor of f, then deg(f) <= m

This is true because If g is a factor of f, it means that f can be divided by g without leaving a remainder. In this case, the degree of f is less than or equal to the degree of g.

D. The deg(f ^ 3) = 3m

This is not true because the degree of the polynomial f raised to the power of 3 is not necessarily equal to 3 times the degree of f. The degree of f^3 will depend on the individual terms and their exponents.

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The linear equation that models the population is:

p(t) = 2200*t - 4356000

And in 2010 the population was 66000.

We know that the population grows linearly.

Remember that the general linear equation can be written as:

y = a*t +b

Where a is the slope and b is the y-intercept.

And if the line passes through the points (x₁, y₁) and (x₂, y₂) then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

Here we have the points (2005, 55000) and (2008, 61600)

Then the slope is:

a = (61600 - 55000)/(2008 - 2005)

a = 2200

Then the line is something like:

y = 2200*t + b

To find the value of b we can replace the values of the point (2005, 55000), then we will get:

55000 = 2200*2005 + b

55000 - 2200*2005 = b

-4356000 = b

The linear equation is

p(t) = 2200*t - 4356000

The population in 2010 is:

p(2010) = 2200*2010 - -4356000 = 66000

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Answer:

A) ∃y(¬P(y))

B) ∀y(P(y) ^ Q(y))

C) ∀y(P(y) ^ Q(y))

D) ¬∃y(P(y) ^ Q(y))

E) ∃y(¬P(y) ^ Q(y))

Step-by-step explanation:

We will use the following symbols to answer the question;

∀ means for all

∃ means there exists

¬ means "not"

^ means "and"

A) Something(y) is not in the correct place is represented by;

∃y(¬P(y))

B) For All tools are in the correct place and are in excellent condition, let all tools in the correct place be P(y) and let all tools in excellent condition be Q(y).

Thus, we have;

∀y(P(y) ^ Q(y))

C) Similar to B above;

∀y(P(y) ^ Q(y))

D) For Nothing is in the correct place and is in excellent condition:

It can be expressed as;

¬∃y(P(y) ^ Q(y))

E) For One of your tools is not in the correct place, but it is in excellent condition:

It can be expressed as;

∃y(¬P(y) ^ Q(y))

Answer:

5(15+r)= however many minutes 5*r is

or (5*15)+(r*15)

Step-by-step explanation:

The diameter of the opening of the cone is equal to 4 centimetres.

A cone is a solid, three-dimensional geometric shape having a circular base and a pointed apex at the top. A cone is known to have one face and a vertex.

A cone doesn't have any edges.

Given:

Volume of cone = 12π cubic centimetres.

Height of cone, h = 9 centimetres.

Let radius of cone be = r.

We know volume of cone = 12π

1/3 ×π×r²×h = 12π

⇒ r² = (12 ×π ×3)/9π

⇒ r² = 36π/9π

⇒ r² = 4

⇒ r = 2.

So, diameter = 2 × r

= 2× 2

= 4cm.

Therefore, diameter of the opening of the cone = 4cm.

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Using the binomial distribution, it is found that the variance of Alice's commuting time is of 2 minutes squared.

For each light, there are only two possible outcomes, either it is red, or it is green. The lights are independent of others, hence the binomial distribution is used to solve this question.

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The variance of the binomial distribution is:

\(V(X) = np(1 - p)\).

In this problem:

The variance for the number of red lights is:

V(X) = 4(0.5)(0.5) = 1

Since each red light delays Alice by exactly two minutes, the variance of Alice's commuting time is of:

2 x 1 = 2 minutes squared.

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ANSWER

4) 5x + 15 = 35

EXPLANATION

We're looking for an equation with the form:

If we want this to have only one solution we have to give y a value. This value can be found since we're already given the solution x = 4:

replacing x:

Therefore the one-solution linear equation we can construct with this information is:

Answer:

68% of the data points lie between 10 and 18.

Step-by-step explanation:

one standard deviation to left of mean = 14 - 4 =10

one standard deviation to right of mean = 14 + 4 = 18

68% of data is in this region.

so the answer is 68% of the data points lie between 10 and 18.

Answer:

10

Step-by-step explanation:

5times 10 is 50

Answer:

It will take her 4 1/3 hours

Step-by-step explanation: so you know you needed to  add 4 and 1/3 and you turn the 4 into 4/1 and 1/3 and since it adding you have to have the same denominator and you multiply 1x3 and if you do it on the bottom you have to do it on top so you also do 4x3 and 4x3 is 12 and one 1x3 is 3 and so you don't have to have to do it on the other fraction because now they have the same denominator now and now you add 12/3 + 1/3 and you shall get 13/3 and then you divide 13 divided by 3 and you shall get 4 1/3 and that shall be your answer.

hope it helps you!

Answer:3.9

Step-by-step explanation:

Divide -19.50 by 5

=3.9

Answer:

84

Step-by-step explanation:

First, there are 6 pages of work. then multiply 6 by the number of questions (14)

6x14=84

Answer:

5/6 quarts of water

Step-by-step explanation:

2/3 same as 4/6. 4/6 + 1/6 = 5/6

Answer:

The 88% confidence interval for the proportion of defectives today is (0.053, 0.123)

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

For this problem, we have that:

\(n = 160, \pi = \frac{14}{160} = 0.088\)

88% confidence level

So \(\alpha = 0.12\), z is the value of Z that has a pvalue of \(1 - \frac{0.12}{2} = 0.94\), so \(Z = 1.555\).

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.088 - 1.555\sqrt{\frac{0.088*0.912}{160}} = 0.053\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.088 + 1.555\sqrt{\frac{0.088*0.912}{160}} = 0.123\)

The 88% confidence interval for the proportion of defectives today is (0.053, 0.123)