The temperature falls from 0 degrees to – 12.3 degrees in 3.5 hours. Which expression finds the change in temperature
per hour?
749
7 49
49 7
49

Answer:

Option C

Step-by-step explanation:

Since, measure of all sides of the triangle has been given in the picture,

By applying cosine rule in the given triangle,

AC² = AB² + BC² - 2(AB)(BC)cos(B)

11² = 16² + 16² - 2(16)(16)cos(B)

121 = 256 + 256 - 512.cos(B)

121 - 512 = - 512.cos(B)

cos(B) = [tex]\frac{391}{512}[/tex] = 0.763672

B = [tex]cos^{-1}(0.763672)[/tex]

B = 40.2°

Therefore, measure of angle B is 40.2°.

Option C is the answer.

Answer:

d = -12

Step-by-step explanation:

Add -8 -5 +7

take that number : -6

72 divided by -6 = -12

d = -12

Answer:

2 × [tex]\frac{1}{2}[/tex] = 1

Step-by-step explanation:

The multiplicative inverse of a number n is [tex]\frac{1}{n}[/tex]

The product of the number and its inverse = - 1

2 and [tex]\frac{1}{2}[/tex] are inverses and

2 × [tex]\frac{1}{2}[/tex] = 1

Answer:

9(5+1)

Step-by-step explanation:

9 x 5= 45

9 x 1= 9

Answer:

c

Step-by-step explanation:

9(5+1)

distribute the 9 into the ( )

45+9

Answer:

- [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope (gradient) and c the y- intercept )

Given

2y = - 3x - 8 ( divide all terms by 2 )

y = - [tex]\frac{3}{2}[/tex] x - 4 ← in slope- intercept form

with gradient = - [tex]\frac{3}{2}[/tex]

The gradient of the straight line 2y = -3x - 8 will be -1.5.

A straight line is a combination of endless points joined on both sides of the point.

A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.
The slope(gradient) 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that the equation of the line is, 2y = -3x - 8

Rearrange the equation in the standard form of the equation as

2y = -3x - 8

y=-3/2 x-8/2

y= -1.5x - 4

Compare the obtained equation with the standard equation,y=mx+b. Where m is the gradient of the straight line.

m= -1.5

Thus, the gradient of the straight line 2y = -3x - 8 will be -1.5.

Learn more about the straight line here:

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Answer:

[tex]4w^{2} -49[/tex]

Step-by-step explanation:

Expand  (2w+7)(2w−7)

2w(2w-7)+7(2w-7)

2w(2w)+2w*-7+7(2w-7)

2w(2w)+2w*-7+7(2w)+7*-7

Answer:

[tex](4.5, -1.5)[/tex]

Step-by-step explanation:

[tex](\frac{3+6}{2}, \frac{-4+1}{2})\\(4.5, -1.5)[/tex]

Answer:

5,12,13

Step-by-step explanation:

The sides are almost close for the distance and so 5 doenst go with 12 and 13, its too small. For dimensions while the other numbers are close to being related. Do you know what I mean?

Hope this helped a little tho!

Answer:

7

Step-by-step explanation:

The number of triangles in the figure is given as 15 triangles.

Given that,
To determine the number of triangles inside the triangles.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

here,
here in the figure inside the parent figure, there are 6 segments that contribute two triangles in the figure,
Number of triangle  = 6C2
Number of triangle = 15

Thus, the number of triangles in the figure is given as 15 triangles.

Learn more about permutations and combinations here: https://brainly.com/question/2295036

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Answer:

b

Step-by-step explanation:

Just did the test got it right

The equation that represents the graph of the function g(x) is g(x) = f(x + 3) - 2

The equation of the function f(x) is given as:

f(x) = x^3

The function g(x) is shifted down by 2 units and shifted left  by 3 units, to get the function g(x)

This means that:

g(x) = f(x + 3) - 2

So, we have:

g(x) = f(x + 3) - 2

Hence, the equation that represents the graph of the function g(x) is g(x) = f(x + 3) - 2

Read more about function transformation at:

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Answer:

x = 55 degrees

Step-by-step explanation:

180 - 164 = 16. 16 + 109 = 125. A triangle's angles should add up to 180, so to find the value of x, subtract 180 by 125 and you'll get 55.

Answer:55

Step-by-step explanation:

Steps below

Answer:

21+4r

Step-by-step explanation:

Combine like terms

(14+7)+(-9r+13r)

21+4r

Answer: The percent of the people surveyed were satisfied with the car = 40% .

Step-by-step explanation:

Given: Total number of people surveyed = 3300

Number of people said that they would buy that type of car again = 1320

i.e. Number of people were satisfied with the car = 1320

The percent of the people surveyed were satisfied with the car =

[tex]=\dfrac{1320}{3300}\times100\\\\=\dfrac{12}{30}\times100\\\\=\dfrac{4}{10}\times100\\\\=0.4\times100=40\%[/tex]

Hence, the percent of the people surveyed were satisfied with the car = 40% .

Answer:

Move it two places to the right

Step-by-step explanation:

For example:

10/3.68=  2.717  

See attached snip

Answer:

1. B

2. A

3.C

Step-by-step explanation:

Answer: 640 students.

Step-by-step explanation:

given data:

number of student chosen to attend by the mayor = 160

amount this student represents of the total population = [tex]\frac{1}{4}[/tex]

solution:

since [tex]\frac{1}{4}[/tex] was chosen which is 160 this means that [tex]\frac{1}{4} is \geq 160[/tex]

therefore;

[tex]\frac{1}{4} = 160\\[/tex]

multiply both sides by 4

[tex]\frac{1}{4} . 4 = 160 .4\\= 640[/tex]

the least number of students that attend melvins school is 640.

Answer:

$0.0452

Step-by-step explanation:

100 tea bags coat $4.52

1 " " " 4.52/100

$ 0.0452

Answer:

>

Step-by-step explanation:

In the lesson, we learned that the side opposite the larger angle was larger. In this case; angle 1 is larger than angle 2. This makes line segment RS > ST. Hope this helps!

Also I did this question myself and this was correct. :D.

Answer:

k = 0.25t^2

Step-by-step explanation:

Given the equation :

b = 0.25t

b = number of inches that has burned away

t = time

From our knowledge of variation;

Since candle length will decrease with time ;

b α 1/ t

b = k/t

Where k is the proportionality constant

Comparing the equation :

b = 0.25t

k/t = 0.25t

k = 0.25t^2

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Answer:

A

Step-by-step explanation:

3x × 4 =12x

Mark me brainliest pls

and thank me

Answer:

I think it is A

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

Javier walks more steps than ebony given the same minutes

Step-by-step explanation:

Javier records a walk of 6000 steps in 50 minutes.

Ebony describes her step rate with the equation y=118x

Where,

y = number of steps

x = number of minutes she walks

Javier and Ebony each walk a total of 5 hours. Who walks more steps?

5 hours = 5 × 60 minutes

= 300 minutes

Javier records a walk of 6000 steps in 50 minutes.

6000 : 50 minutes = x : 300 minutes

6000/50 = x / 300

Cross product

6000 * 300 = 50 * x

1,800,000 = 50x

x = 1,800,000 / 50

= 36,000

x = 36,000

Javier walks 36,000 steps

Ebony describes her step rate with the equation y = 118x

x = 300 minutes

y = 118(300)

= 35,400

y = 35,400

Ebony walks 35,400 steps

Therefore,

Javier walks more steps than ebony given the same minutes

Answer:

a. The four sides of the quadrilateral ABCD are equal, therefore, ABCD is a rhombus

b. The equation of the diagonal line AC is y = 5 - x

The equation of the diagonal line BD is y = 5 - x

c. The diagonal lines AC and BD of the quadrilateral ABCD are perpendicular to each other

Step-by-step explanation:

The vertices of the given quadrilateral are;

A(1, 4), B(6, 6), C(4, 1) and D(-1, -1)

a. The length, l, of the sides of the given quadrilateral are given as follows;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

The length of side AB, with A = (1, 4) and B = (6, 6) gives;

[tex]l_{AB} = \sqrt{\left (6-4 \right )^{2}+\left (6-1 \right )^{2}} = \sqrt{29}[/tex]

The length of side BC, with B = (6, 6) and C = (4, 1) gives;

[tex]l_{BC} = \sqrt{\left (1-6 \right )^{2}+\left (4-6 \right )^{2}} = \sqrt{29}[/tex]

The length of side CD, with C = (4, 1) and D = (-1, -1) gives;

[tex]l_{CD} = \sqrt{\left (-1-1 \right )^{2}+\left (-1-4 \right )^{2}} = \sqrt{29}[/tex]

The length of side DA, with D = (-1, -1) and A = (1,4)   gives;

[tex]l_{DA} = \sqrt{\left (4-(-1) \right )^{2}+\left (1-(-1) \right )^{2}} = \sqrt{29}[/tex]

Therefore, each of the lengths of the sides of the quadrilateral ABCD are equal to √(29), and the quadrilateral ABCD is a rhombus

b. The diagonals are AC and BD

The slope, m, of AC is given by the formula for the slope of a straight line as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Therefore;

[tex]Slope, \, m_{AC} =\dfrac{1-4}{4-1} = -1[/tex]

The equation of the diagonal AC in point and slope form is given as follows;

y - 4 = -1×(x - 1)

y = -x + 1 + 4

The equation of the diagonal AC is y = 5 - x

[tex]Slope, \, m_{BD} =\dfrac{-1-6}{-1-6} = 1[/tex]

The equation of the diagonal BD in point and slope form is given as follows;

y - 6 = 1×(x - 6)

y = x - 6 + 6 = x

The equation of the diagonal BD is y = x

c. Comparing the lines AC and BD with equations, y = 5 - x and y = x, which are straight line equations of the form y = m·x + c, where m = the slope and c = the x intercept, we have;

The slope m for the diagonal AC = -1 and the slope m for the diagonal BD = 1, therefore, the slopes are opposite signs

The point of intersection of the two diagonals is given as follows;

5 - x = x

∴ x = 5/2 = 2.5

y = x = 2.5

The lines intersect at (2.5, 2.5), given that the slopes, m₁ = -1 and m₂ = 1 of the diagonals lines satisfy the condition for perpendicular lines m₁ = -1/m₂, therefore, the diagonals are perpendicular.

Answer:

p x 0.79 = 7.90 or 0.79 x p =7.90

Answer: 10

Step-by-step explanation:

Well i got 10 if your asking what i think u are

7 1/2 divided by 3/4 = 10

Answer:

The correct option is (d) a student needs to take 10 dance classes to learn the routine. Step-by-step explanation: Given that each dance class is hour and a student takes hours to learn a dance routine. We are to select the TRUE statement. Thus, a student needs 10 dance classes to learn the dance routine.

Step-by-step explanation:

The correct option is (d) a student needs to take 10 dance classes to learn the routine. Step-by-step explanation: Given that each dance class is hour and a student takes hours to learn a dance routine. We are to select the TRUE statement. Thus, a student needs 10 dance classes to learn the dance routine.

Answer:

2A/p

the last option

Step-by-step explanation:

gl!!!

Answer:

Step-by-step explanation:

Dimensions of rectangle:

The area is the product of the two dimensions: