How many triangles can be made if two sides are 4 inches and the angle between
them is 90°? (5 points)
O 1
02
O More than 2
O None

Answer:

y=5/3x+5

Step-by-step explanation:

change slope in equation given to the negative reciprocal since the line is perpendicular:

-3/5 to 5/3

put values into point slope form y-y1=m(x-x1)

     y1 = y in the point given, which is 25

     m = slope, which is 5/3

     x1 = x in point given, which is 12

y-25=5/3(x-12)

then solve for slope intercept form y=mx+b to get

y=5/3x+5

Answer: B 39 ft I think

Step-by-step explanation:

Answer:

d. 0.0047

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Population:

We have that [tex]\mu = 7.7, \sigma = 0.2[/tex]

Sample of 3:

[tex]n = 3, s = \frac{0.2}{\sqrt{3}} = 0.1155[/tex]

Which of the following represents the probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams?

This is 1 subtracted by the pvalue of Z when X = 8. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{8 - 7.7}{0.1155}[/tex]

[tex]Z = 2.6[/tex]

[tex]Z = 2.6[/tex] has a pvalue of 0.9953

1 - 0.9953 = 0.0047

The probability is given by option d.

You can calculate the z score for the specified sample and then use the z tables to find the p value(probability) needed.

The probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams is given by

Option d : 0.0047

Suppose that the sample is of size 'n', then we have the z score(we are converting random variable X to standard random variable Z) as:

[tex]Z = \dfrac{X - \overline{x}}{s} = \dfrac{X - \mu}{\sigma/\sqrt{n}}[/tex]

where [tex]\overline{x}[/tex] is mean of the sample

s is the standard deviation of the sample,

and we used the central limit theorem which says that a sample from a normally distributed population with [tex]mean = \mu[/tex] and standard deviation = [tex]\sigma[/tex] can have its mean approximated by population mean and its standard deviation approximated by [tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]

Let the weight of the the olives for the given crop of olives of a particular company for taken random sample is given by X (a random variable)

Then, we have:

[tex]X \sim N(7.7, 0.2)[/tex]

where

[tex]\mu = 7.7, \sigma = 0.2[/tex]

Thus, we have:

[tex]\overline{x} = \mu, s = \sigma/\sqrt{n} = 0.2/\sqrt{3}[/tex]

Using the given facts, we get the needed probability as:

[tex]P( X> 8)[/tex] sample size n  = 3)

Then, using the z score, we get):

[tex]P(X > 8) = 1 - P(X \leq 8) = 1 - P(Z \leq \dfrac{8 - 7.7}{0.2/\sqrt{3}})\\\\P(X > 8)=1- P(Z \leq \dfrac{0.3\sqrt{3}}{0.2}) = 1- P(Z \leq 1.5 \times \sqrt{3} )\\\\P(X > 8) = 1 - P(Z \leq 2.59) = 1- 0.9952 \approx 0.0047[/tex]

Thus,

The probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams is given by

Option d : 0.0047

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Answer:

.7

Step-by-step explanation:

Answer 1: 5x + 4

Answer 2: 9m + -10y

Step-by-step explanation:

To simplify 3x + 9 + 2x − 5, you have to find the like terms which are 3x and 2x, and 9 and -5. So you get 3x + 2x + 9 - 5 which gives you the result of 5x + 4. Now to simplify 7m + 2 (m − 5y), you have to distribute first, so 7m + (2) (m) + (2) (−5y) which gives you 7m + 2m + −10y. So now you just have to add. 7m + 2m = 9m and then you have -10y so basically the answer is 9m + -10y.

I hope this helps you bro

Answer:

x=45

Step-by-step explanation:

An entire triangle is 180 degrees and you already know that one angle is 90 degrees. 180 - 90 is 90. Now you have the equation 2x=90.

You then divide each side by 2 to get the x by itself which leaves you with x=45.

Answer:

if I did my math right it's 45 if not please fix me

Step-by-step explanation:

First thing is the the sides are congruent meant the angles have to be the same.

Next is the box indicates 90°.

Last thing is that every triangle is 180°

so if I did this right the equation is 2x+90=180

and using algebra in this you eliminate the 90 by subtract because - is the opposite of + which cancels itself and leaving the total with 90.

Then divide the 90 by 2 as it cancels out 2x leaving the answer with x=45

I hope this helps you

Answer:

If m is the midpoint of ab it means am is equal to mb

am = 3x + 8 and mb = 6x-4

and ab  = am + mb

first find the value of x by using am = mb

3x + 8 = 6x - 4

8 + 4 = 6x - 3x

12 = 3x

x = 4

ab = 3 (4) + 8

= 12 + 8 = 20 = mb

ab = am + mb

= 20 + 20

40

so, the value of ab is 40

Answer:

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

Step-by-step explanation:

Step(i):-

Let 'x' be the length of the rectangle

Given that the width is 3 feet shorter than the length

The width of the rectangle = x -3

Area of the rectangle = length × width

Step(ii):-

Area of the rectangle = length × width

                                  = x ( x-3)

Given that the area of the rectangle = 70 square feet

                       x ( x-3) = 70

              ⇒   x² - 3x - 70 =0

              ⇒  x² - 10 x + 7 x - 70 =0

             ⇒  x (x -10) +7( x-10) =0

            ⇒ ( x+7) ( x-10) = 0

           ⇒  x =-7 and x=10

Final answer:-

we choose x=10

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

Answer:

24 teaspoons

Step-by-step explanation:

2 times 12 = 24

48 - 24 = 24

Answer:

A

Step-by-step explanation:

Its counting up by 10 and going up by 2

Answer:

its c

Step-by-step explanation:

Answer:

The garden is 9 feet wide and 26 feet long.

Step-by-step explanation:

L = W+17

area = LW = 234

(W+17)W = 234

W²+17W-234 = 0

Quadratic formula

W = [-17 ± √(17² – 4·1(-234))] / [2·1]

 = [-17 ± √1225] / 2

 = [-17 ± 35] /2

 = -26, 9

-26 is an extraneous solution

W = 9

L = W+17 = 26

The garden is 9 feet wide and 26 feet long.

Answer:

6x+6y+6

Step-by-step explanation:Distributive property and adding

Answer:

You have two brackets..divide them as

x-3=0 and x-2=0

so x=3, x=2

The solutions to the equation ( x – 3 )( x − 2 ) = 0 using factors equal to zero are x = 3 and x = 2.

To find the solutions to the equation ( x – 3 )( x − 2 ) = 0, we set each factor equal to zero and solve for x. This is because the product of two factors is equal to zero only if at least one of the factors is zero.

Setting ( x – 3 ) = 0:

x – 3 = 0

x = 3

Setting ( x − 2 ) = 0:

x − 2 = 0

x = 2

Therefore, the solutions to the equation ( x – 3 )( x − 2 ) = 0 are x = 3 and x = 2.

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Answer:

y=6

Step-by-step explanation:

y=3x     x=2

y=3(2)

y=6

For the given expression, the value of y is 6.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ y = 3x

Now, For value of x = 2;

The value of y is,

⇒ y = 3x

Substitute x = 2;

⇒ y = 3 × 2

⇒ y = 6

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Answer:

n=21

Step-by-step explanation:

Subtract 46 from both sides.

n+46−46=67−46

n=21

Answer:

n=21

Step-by-step explanation:

46-67=21

21=n

So the answer is 21.

Answer:512

Step-by-step explanation:

Answer:

512

Step-by-step explanation:

8*8*8=512

Answer:

The area of the square ABCD is 25 square units

Step-by-step explanation:

The square ABCD has three of its vertices at A(0,3), B(4,0), and C(7,4). The fourth vertex has been also plotted in the image attached below.

The area of the square is

[tex]A = a^2[/tex]

Where a is the length of any of the square's sides. We only have to find the distance from any two consecutive vertices, for example, A(0,3), B(4,0):

[tex]a=\sqrt{(4-0)^2+(0-3)^2}[/tex]

[tex]a=\sqrt{16+9}=\sqrt{25}=5[/tex]

a = 5

Calculating the distance between any other pair of consecutive vertices would yield the same result. The area is now calculated:

[tex]A = 5^2 = 25[/tex]

The area of the square ABCD is 25 square units

Answer:

it's b

Step-by-step explanation:

literally twelve minus m

Answer:

B

Step-by-step explanation:

12 minus m is, 12 - m

Answer:

x=3 bracelets

Step-by-step explanation:

5(X)+2(12)=39

5X=39-24

5X=15

X=3

Answer:

.

Step-by-step explanation:

Answer:

$19.03

Step-by-step explanation:

Okay, this is a standard percentage problem, so learning how to do this is necessary. First, we have to find what 6% of $17.95 is, since of is our keyword and that means to multiply, and percentages turn into decimals:

17.95 x 0.06 = 1.08

So we have our tax, then we have to add that to our original price to get the whole thing:

17.95 + 1.08 = 19.03

So the total sale price is $19.03

Answer:

yes

Step-by-step explanation:

y = -4/3x + 8 so you would multiply - 4/3 * x. Then you would add 8 to your answer and if the y value equals the value on the graph then it's correct.

Answer: the square root of 9 is 3.

Answer:

2 1/4 pints

Step-by-step explanation:

create a ratio with the fact there are 16 ounces in 1 cup

let 'p' = number of pints

16 = 36

 1         p

cross-multiply:  16p = 36

                            p = 36/ 16, which is 9/ 4, or 2 1/4

Answer:

there are 84 pages in the book.

Step-by-step explanation:

let's call the pages in the book b.

1/3b + 1/3b + 28 = b

2/3b + 28 = b

subtract 2/3b from both sides of the equation

2/3b - 2/3b + 28 = b - 2/3b

28 = b - 2/3b

28 = b/3

multiply both sides of the equation by 3

28 * 3 = b/3 * 3

28 * 3 = b

84 = b

Answer:

The book has 84 pages

Step-by-step explanation:

Equations

Let's make:

x = number of pages of the book

Alex read 1/3x of the book on Monday, 28 pages on Tuesday, and still has 1/3x left to read. The sum of all these portions add up to the number of pages of the book, thus:

[tex]\displaystyle \frac{x}{3}+28+\frac{x}{3}=x[/tex]

Multiplying by 3:

[tex]x+84+x=3x[/tex]

Simplifying:

x = 84

The book has 84 pages

Answer:

Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem, a2+b2=c2 a 2 + b 2 = c 2 , is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse.

Step-by-step explanation:

hope it help

Answer:

Yes it can be used because there is a right angle and by using 3 points u form a right triangle and then u will can find distance

9514 1404 393

Answer:

  2/3

Step-by-step explanation:

There are a couple of different ways that division of fractions can be done.

1) "invert and multiply"

  [tex]\dfrac{14}{15}\div\dfrac{7}{5}=\dfrac{14}{15}\times\dfrac{5}{7}\\\\=\dfrac{14}{7}\times\dfrac{5}{15}=\boxed{\dfrac{2}{3}}[/tex]

__

2) use the numerators when the denominators are the same

  [tex]\dfrac{14}{15}\div\dfrac{7}{5}=\dfrac{14}{15}\div\dfrac{21}{15}\\\\=\dfrac{14}{21}=\boxed{\dfrac{2}{3}}[/tex]

Answer:

Gordon types at 76 wpm

Step-by-step explanation:

You can find this by dividing the number of words typed by the number of minutes:

[tex]\frac{3572w}{47m}\\\\= \frac{3572}{47}\frac{w}{m}\\\\= 76\frac{w}{m}\\\\[/tex]

Answer:

78 Words per minute

Step-by-step explanation:

Unit Rate = 3666 Words in 47 minutes

Unit Rate = 78 Words per minute

Answer:

y = 9x - 34

Step-by-step explanation:

(3 , -7) ; slope (m) = 9

Slope intercept form:

y - y1 = m(x -x1)

y - [-7] = 9 (x - 3)

y + 7  = 9*x - 9*3

y + 7 = 9x - 27

    y = 9x - 27 - 7

    y = 9x - 34