A triangle has vertices at (-4,-6),(3,3), (7,2). Rounded to two decimal places, which of the following is the closest approximation of
the perimeter of the triangle?

A. 19.34
B. 12.36
C. 15.52
D. 29.12

Supplementary angles are those angles which add upto 180°. They may or may not be linear pair.

We have,

Let,

Then,

➝ x + x + 2° = 180°

➝ 2x + 2° = 180°

➝ 2x = 178°

➝ x = 89°

Other angle = x + 2° = 91°

Answer - 89° and 91°

⚘ Hence, solved !!

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Answer:

Step-by-step explanation:

Let the numbers are x, x+1

The sum of supplementary angles is 180°

X+x+1=180

2x+1=180

2x=180-1

2x=179

X=179/2

X=89.5

X+1=89.5+1=90.5

The integers are 89.5,90.5

Let x be the speed of the first car in miles per hour. After 12 hours it will have gone 12x miles. The other car, driving east, has speed x+ 4. After 12 hours it will have gone 12(x+ 4) miles. Again by the Pythagorean theorem,

(12x)^2+(12(x+4)^2=600^2. Solve that equation for x.

Answer:

1740 N

Step-by-step explanation:

To find the force, you need to multiply the mass by the acceleration.

(60.0 kg) × (29.0 m/s²) = 1740 N

The force will be 1740 N.

Answer:

Fraction Equivalent Fractions

4/5 8/10 12/15

1/6 2/12 3/18

5/6 10/12 15/18

1/7 2/14 3/21

Step-by-step explanation:

We say that 1/2 is equivalent to 2/4. Fractions are determined to be equivalent by multiplying the numerator and denominator of one fraction by the same number. This number should be such that the numerators will be equal after the multiplication.

Step-by-step explanation:

The expression 1/4 - 2/3 - (1/2 + 5/6) is equivalent to -7/4.

Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.

The given expression is,

1/4 - 2/3 - (1/2 + 5/6)

To solve the expression, first simplify bracket term,

1/4 - 2/3 - (8/6)

(3 - 8)/12 - 8/6

-5/12 - 8/6

-21/12

-7/4

The simplified form of the expression 1/4 - 2/3 - (1/2 + 5/6) is -7/4.

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Answer:

A

Step-by-step explanation:

The difference of squares formula is a² - b² = (a + b)(a - b). We want this polynomial to be in the form a² - b². We notice that x² and 49 are perfect squares already which means that we don't need the x term. To get rid of it, its coefficient must be 0 because 0 times anything is 0, thus the x term will be removed and we'll be left with x² - 49 which is a difference of squares.

Answer:

6 hours

Step-by-step explanation:

Set up a proportion:

15kg/5 hrs = 18kg/x hrs

Cross multiply:

5(18)=15x

90 = 15x

Divide by 15:

90/15 = x

6 = x

Answer:

21

Step-by-step explanation:

The required simplified value of x, y,  and z is 2, 2, and 2.

Given that,
The system of the equation is given
4x - 2y +z = 6,
-2x + y = -4,
3y - 2z = 4
And also x= y= z

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

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

Here,
Since, x = y = x
taking any one equation
4x - 2y +z = 6
Now,
4x - 2x + x = 6
3x = 6
x = 2

Thus, the required simplified value of x, y,  and z is 2, 2, and 2.

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Step-by-step explanation:

Given that the number of amoeba is 1

in 1 hour it divides to form 2

1 hour later (2 hours): 1 amoeba(forms 2), 1 amoeba(forms 2)= 4  

1 hour again(3 hours):   1=2,1=2,1=2,1=2 hence a total of 8 after 3 hours

Question and answers

1. How many amoebas are there after 1 hour

=2 amoebas

2. How many amoebas are there after 2 hours

=4 amoebas

3. Write an expression for the number of amoebas after 6 hours.

let the number of amoeba be y, and the time be n

so in 6 hours n= 6

[tex]y=2^n[/tex]

[tex]y= 2^6\\\\y= 64 amoebas[/tex]

Answer:

2x + y = 5 is the required equation.

Step-by-step explanation:

using slope intercept form,

i.e. y = mx + c

or, y =( -2 ) x + 5

or, y + 2x = 5

Answer:

4y

Step-by-step explanation:

To combine like term, add the coefficient of each term

Coefficient of y = 1

Coefficient of 3y = 3

y + 3y = 4y

Answer:

Look below

Step-by-step explanation:

Ok, you got a Quadrilateral with the side lengths 6, 9, 9, 12

The shortest of B is 2

Find the scale factor of the A to B

6 -> 2

6/2 = 3

Scale factor is 3

Now divide all the sides by scale factor

6/3, 9/3, 9/3, 12/3 = 2, 3, 3, 4

Add them all together to get the perimeter

2+3+3+4 = 12

Perimeter of B is 12

Answer:

(2, -10)

Explanation:

Reflection over the x-axis puts a negative sign on the x value.

Answer:

-2,10

Step-by-step explanation: i took the test and when doing this you only change the y  but keep the x.

Answer:

Yes

Step-by-step explanation:

All numbers between 1 and 6 are intervals

Answer:

13/40

Step-by-step explanation:

5/8 - 3/10

get a common denominator of 40

5/8*5/5 - 3/10 *4/4

25/40 - 12/40

13/40

Answer:

13/40

Step-by-step explanation:

We can find the lowest common multiple of 8 and 10, so that the two fractions will have the same denominator.

The LCM of 8 and 10 is 40, so we can rewrite 5/8 as 25/40 by multiplying the numerator and denominator by 5, and rewrite 3/10 as 12/40 by multiplying the numerator and denominator by 4.

This makes the subtraction easier, as we find 25/40 - 12/40.

We get (25-12) / 40, or 13/40.

Answer:

[tex]\Large \boxed{{n=5}}[/tex]

Step-by-step explanation:

10^2n-6 = 10,000

Make 10,000 with base 10.

10^2n-6 = 10^4

Cancel same bases.

2n-6 = 4

Add 6 to both sides.

2n = 10

Divide both sides by 2.

n = 5

Answer:

[tex]\huge\boxed{n = 5}[/tex]

Step-by-step explanation:

[tex]10^{2n-6} = 10,000[/tex]

Write 10,000 as a base of 10

[tex]10^{2n-6} = 10^4[/tex]

Comparing both sides , we get:

[tex]2n - 6 = 4[/tex]

Adding 6 to both sides

2n = 4+6

2n = 10

Dividing both sides by 2

n = 10 / 2

n = 5

Answer:

47

Step-by-step explanation:

298.45/6.35=47 its ez just some division

Answer:

47

Step-by-step explanation:

298.45/6.35= 47

Answer:

tan A  = 12/ 35

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan A = CB/ AB

tan A  = 12/ 35

Answer:

We make the table of these values at different values of x.

x                  A                 B                C               D

2              66.66          49.3            52.5           50

4             94.57            71.44           106.3         104  

6             134.14           103.57         160.1          158

8             190.27          150.14          213.9         212

10           269.91           217.64         267.7         266

12           382.85          315.5           321.5          320.

Hence, the function that best represents the data is:

Option C.

y=26.9x-1.3

Step-by-step explanation:

Considering the situation described, it is found that a linear model best represents the data, because there is a relatively consistent additive rate of change.

In this problem, when the input changes by 2, the output always increases between approximately 50 and 60, that is, the same values, hence a linear model best represents the data, because there is a relatively consistent additive rate of change.

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Answer:

5/13

Step-by-step explanation:

number of female students who have an A: 5

total number of female students: 13

The probability that a student who has an A is a female is 3/8

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

For two events A and B, by chain rule, we have:

[tex]P(A \cap B) = P(B)P(A|B) = P(A)P(B|A)[/tex]

where P(A|B) is probability of occurrence of A given that B already occurred.

We're specified a frequency table as:

                                                       Female                          Male

Has an A                                             3                                   5

Does not have an A                           8                                   13

We want to get P(Student is female if its given that student has an A).

Symbolically, we need P(Female | Has an A).

P(Student is female | Student has an A) = P(Student is female ∩ Student  has an A) / P(Student has an A)

Now, P(Student is female ∩ Student has an A) = n(Student is female∩ Student has an A) / n(all type of students) = 3/(3+5+8+13) = 3/29

Also, P(Has an A) =  n(has an A)/ n (All type of students) = n(has an A)/29

Since n(has an A) = number of students having A = females having A + males having A = 3+5 = 8

Thus,  P(Has an A) = 8/29

Thus, we get:

P(Female | Has an A) = P(Female ∩ Has an A) / P(Has an A) = [tex]\dfrac{3/29}{8/29} = \dfrac{3}{8}[/tex]

Thus, the probability that a student who has an A is a female is 3/8

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Answer: 23

Step-by-step explanation:

Answer: 13.64 cm squared

Step-by-step explanation: Area of a rectangle is l x w so 3.1 x 4.4 = 13.64

Answer:

I will create a five by four matrix to indicate the costs of the products.  The matrix will have five vertical columns and four horizontal rolls.  The vertical columns will show the product categories and the total costs for all the products and decorations.  The horizontal rolls will show the product costs, the decoration costs, and the total costs for each product category.

The size and shape of the matrix will be 5 by 4 with squared boxes.

Step-by-step explanation:

Products/Costs         Hats         Cards      Teddy    Total Costs

Product costs           $2.50       $0.90       $3.10        $6.50

Decoration costs      $1.50       $0.60        $1.70        $3.80

Total costs               $4.00        $1.50       $4.80       $10.30

Answer:

Step-by-step explanation:

Multiply through by 7 inorder to clear out the fraction

That's

We have

Multiply the terms in the bracket

That's

2x - 4 = 28x

Subtract 28x from both sides

We have

2x - 28x - 4 = 28 - 28x

Simplify

- 26x = 4

Divide both sides by - 26

That's

We have the final answer as

Hope this helps you

onde esta a altenaativas

Answer:

Width = 5

Length = 13

Step-by-step explanation:

Area of a rectangle:

=> L x W = Area

After knowing this, we could find the factors of 65

=> 65 = 5 x 13, 1 x 65

So, the only way is 5 x 13.

So, Width = 5

     Length = 13

Let's check whether our answer is correct.

=> (3w - 2) * w  = 65

=> (3 (5) - 2) * 5 = 65

=> (15 - 2) * 5 = 65

=> 13 * 5 = 65

=> 65 = 65

So, our answer is correct.

Answer:

P(red or blue) = [tex]\frac{7}{16}[/tex].

Step-by-step explanation:

We have to find P(A or B), if A and B are independent events for one action, such as spinning a four-color spinner once.

Firstly, as we know that the formula for finding P(A or B) is given by;

P(A or B) = P(A) + P(B) - P(A and B)

Since it is stated that event A and B are independent, this means that there is no dependence of any one event on another event, so;

P(A and B) = P(A) [tex]\times[/tex] P(B)

Now, we can find P(A or B) = P(A) + P(B) - P(A) [tex]\times[/tex] P(B); is we know that the probabilities of happening of both events.

Similarly, P(red or blue) = P(red) + P(blue) - P(red) [tex]\times[/tex] P(blue).

Since the event is spinning a four-color spinner once and assuming there are four different colors, so the probability of wheel stopping on each color is ([tex]\frac{1}{4}[/tex]).

So, P(red or blue) = [tex]\frac{1}{4} +\frac{1}{4} -(\frac{1}{4} \times \frac{1}{4} )[/tex]

                             = [tex]\frac{2}{4} -\frac{1}{16}[/tex]  = [tex]\frac{7}{16}[/tex].