Anis completed a journey of 4.5 km by walking for 30 minutes at
a certain speed, and then by running another 25 minutes at a speed
which is 2km/h more than the walking speed. Find her walking
speed in km/h.​

Answer:

Let the two equal angles be x,

so,

x + x + 138° = 180°

or, 2x = 180° - 138°

or, 2x = 42°

so, x = 42°/2

so, x = 21°

21° is the answer.

Answer:

105.4

Step-by-step explanation:

The value of length BC is 18.9

Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

Therefore,

c² = a² + b² - 2abcosC

To find the length BC we use cosine rule.

c² = 13² + 7² - 2(13)(7)cos140

c² = 218 - 182cos140

c² = 218-(-139.42)

c² = 218+139.2

c² = 357.2

c = √357.2

c = 18.9

Therefore, the length of BC is 18.9

learn more about cosine rule from

https://brainly.com/question/23720007

#SPJ1

In the triangle, the value of the side BC is 18.9cm to 1 decimal place

The side BC can be found using the cosine formula, Remember that Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

The cosine formula states that

c² = a² + b² - 2abcosC

To find the length BC we use cosine rule.

c² = 13² + 7² - 2(13)(7)cos140

c² = 218 - 182cos140

c² = 218-(-139.42)

c² = 218+139.2

c² = 357.2

c = √357.2

c = 18.9

In conclusion, the value of  the length of BC is 18.9cm

Learn more about the cosine rule on https://brainly.com/question/28716982?

#SPJ1

The ordered pair in roaster form {(2,8), (3, 12), (4, 16), (5, 20)} is a function.

Suppose we have an ordered pair (x, y) then the domain of the function is the set of values of x and the range is the set of values of y for which x  is defined.

We know a function can be many one which means different inputs leads to same output but one to many is not a function as same input can not lead to different outputs.

{(2,8), (3, 12), (4, 16), (5, 20)} is a function as each different input leads to a different output.

learn more about functions and sets here :

https://brainly.com/question/12979762

#SPJ1

deduct one whole number from the other number

Answer:

Gabriel can use up to 4.5 gigabytes of data without exceeding his $75 budget.

Step-by-step explanation:

We can write the inequality as:

52.50 + 5g < 75

Where g is the number of gigabytes Gabriel can use. To solve for g, we can subtract 52.50 from both sides of the inequality:

5g < 22.50

Then we divide both sides of the inequality by 5:

g < 4.5

So, Gabriel can use up to 4.5 gigabytes of data without exceeding his $75 budget.

The angle of elevation of the pole from the man's eyes is about 9.2°

The angle of elevation from a point to an elevated location is the angle made by the line from the location to the point and the horizontal line from the point.

The elevation of a man's eye above the horizontal ground = 1.7 m

The (horizontal) distance of the man's eye from the vertical pole = 13 m

The height of the pole = 3.8 m

The angle of elevation of the top of the pole from the man's eye can be found as follows;

The vertical height from the man's eye to the top of the pole = 3.8 m - 1.7 m = 2.1 m

Let θ represent the angle of elevation of the top of the pole to the man's eye, from the trigonometric ratio of tangent, we get;

tan(θ) = 2.1/13

θ = arctan(2.1/13) ≈ 9.2°

Learn more on the angle of elevation to a location here: https://brainly.com/question/12702806

#SPJ1

Answer: 25

Step-by-step explanation:

7 + -6(-3)

7 + 18 = 25

Answer:

25

Step-by-step explanation:

x= -6

7+ -6(-3)=

7+ (18)=25

25

Answer: -1536

Step-by-step explanation:

(-2)^6 = 64

(-2)^4 = 16

(-2)^-8 = 1/256

(-2)^6 x (-2)^4 x (-2)^-8 = 4

Your final answer is 4!

Answer:

15/4 +6y

Step-by-step explanation:

See Image below:)

The degree of the polynomial is 14

The polynomial is given as:

y^2+7x^14-10x^2

Here, we assume that the variable of the polynomial is x

The highest power of x in the polynomial y^2+7x^14-10x^2 is 14

Hence, the degree of the polynomial is 14

Read more about polynomial at

https://brainly.com/question/4142886

#SPJ1

Answer:

5m

Step-by-step explanation:

regla de 3:

1m = 3ft

15 pies ÷ 3 = 5m

9 1/28

I hope I was helpful

Answer:

9 1/28

Step-by-step explanation:

Answer:

Your answer would be- 8-6r

Step-by-step explanation:

  You would combine the LIKE TERMS. The two pairs of like terms are 8r-2r and 9-1. You subtract those two pars and get 8-6r!

          JOKE TIME!

Why did the gym close down? It just didn't work out. *Nods head. Very sad.

The probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.

To find the probability that Greg winds up wearing the white shirt and tan pants while getting dressed in the dark, we need to find out all the possible outfit options. According to the question given, first we nned to find out number of outfit combinations possible.

Total number of Outfit Combinations:

There are 4 shirts: a white one, a black one, a red one, and a blue one and also two pairs of pants, one blue and one tan. So, total number of possible outfit combinations would be 4 * 2 = 8.

No of favourable options:

As given in the question, Greg wears white shirt and tan pants. There is only one white shirt and one tan pant. So, number of favourable options would be only 1 .

Probability = Number of favourable outcomes/Total no. of combinations

Probability = 1/8

Probability = 0.125 or 12.5%

Therefore, the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.

To study more about Probability:

https://brainly.com/question/13604758

https://brainly.com/question/251701

The probability that a student earns a grade of B is 0.25 or 25%.

We are given that;

The frequency table

Now,

To find the probability that a student earns a grade of B, we need to divide the frequency of students who earned a grade of B by the total number of students:

P(B) = frequency of B / total frequency

The frequency of students who earned a grade of B is 35 and the total frequency is:

28 + 35 + 56 + 14 + 7 = 140

Substituting these values into the formula above, we get:

P(B) = 35 / 140 = 0.25

Therefore, by probability the answer will be 0.25 or 25%.

Learn more about probability here;

https://brainly.com/question/9326835

#SPJ1

Answer:

yes

Step-by-step explanation:

Answer:

(a) The average rate of change from 0 to 2 is 6

(b) The average rate of change from 3 to 5 is 24

(c) The average rate of change from -3 to 0 is -9

Step-by-step explanation:

The formula for the average rate of change (AROC) is given by:

\(AROC=\frac{f(b)-f(a)}{b-a}\)

(a):

Finding the AROC from 0 to 2

To find the average rate of change from 0 to 2, we use f(2) and f(0), while we plug in 2 for b and 0 for a:

\(\frac{f(2)-f(0)}{(2-0)}\\ \\\frac{((3(2)^2+4)-(3(0)^2+4))}{(2-0)} \\\\\frac{(16-4)}{(2)}\\ \\\frac{12}{2}\\ \\6\)

Thus, the average rate of change from 0 to 2 is 6.

(b):

Finding the AROC from 3 to 5:

To find the average rate of change from 3 to 5, we use f(5) and f(3), while we plug in 5 for b and 3 for a:

\(\frac{f(5)-f(3)}{(5-3)}\\ \\\frac{((3(5)^2+4)-(3(3)^2+4))}{(2-0)} \\\\\frac{(79-31)}{(2)}\\ \\\frac{48}{2}\\ \\24\)

Thus, the average rate of change from 5 to 3 is 24.

(c):

To find the average rate of change from -3 to 0, we use f(0) and f(-3), while we plug in 0 for b and -3 for a:

\(\frac{f(0)-f(-3)}{(0-(-3))}\\ \\\frac{((3(0)^2+4)-(3(-3)^2+4))}{(0+3)} \\\\\frac{(4-31)}{(3)}\\ \\\frac{-27}{3}\\ \\-9\)

Thus, the average rate of change from -3 to 0 is -9.

Answer:

16,20,28

Step-by-step explanation:

64 /(4+5+7)

64/16= 4

sides of triangle=4×4 :5×4: 7×4

                         =16:20:28

Answer:

r=

\(r = \frac{d}{2} \\ r = \frac{5}{2} \\ r = 2.5cm\)

In the diagram, the correct option is

angle DAB = angle DCB

CPCTC stands for "Corresponding Parts of Congruent Triangles are Congruent." It is a geometric postulate used in proving the congruence of triangles.

According to CPCTC, if two triangles are proven to be congruent (having all corresponding angles and sides congruent), then their corresponding parts, including angles and sides, are also congruent.

The two triangles in the figure are congruent by the SAS congruence theorem and hence applying the CPCTC we have that

angle DAB = angle DCB

Learn more about CPCTC at

https://brainly.com/question/6076251

#SPJ1

Step-by-step explanation:

(7 + 3) + (6 -)

= 7 - 6 + 3

= 1 + 3

= 4

Answer:

I think you need to know the value of X to get this answer.

Step-by-step explanation:

A) The property being used is the distributive property of multiplication.
B) The properties used to determine (9 x 6) x 5 mentally by multiplying (9 x 5) x 6 are the associative property of multiplication and the commutative property of multiplication.

The distributive property of multiplication is used when someone determines 24 x 12 by adding (24 x 10) and (24 x 2). This property is when we can split an expression that consists of the sum or difference of two terms multiplied by a third term.

This can be represented as a(b + c) = ab + ac or a(b - c) = ab - ac. In the problem, the expression 24 x 12 is split into 24 x 10 and 24 x 2 to make it easier to solve.
When someone determines (9 x 6) x 5 mentally by multiplying (9 x 5) x 6, they are using the associative property of multiplication and the commutative property of multiplication.

The associative property states that changing the grouping of the factors does not change the product. This can be represented as (a x b) x c = a x (b x c).

In the problem, the person multiplied 9 by 5 first and then multiplied the result by 6, which is the same as multiplying 6 by 9 first and then multiplying the result by 5.

The commutative property states that the order of the factors does not change the product. This can be represented as a x b = b x a. In the problem, the person switched the order of 9 and 5 to make it easier to solve mentally.

for such more questions on property

https://brainly.com/question/28210762

#SPJ8

Answer:

step 1: move the -4 to the right: x^2 -2x = 4

step 2: add 1 to each side: x^2 -2x + 1 = 4 + 1

step 3: factor the left side and simplify the right side: (x-1)^2 = 5

step 4: take the square root of each side: x - 1 = sqr root of 5

step 5: move the 1 to the other side: \(x=\sqrt{5} + 1\) and \(x = \sqrt{5} -1\)

Answer:

The median is usually preferred in these situations because the value of the mean can be distorted by the outliers.

Step-by-step explanation:

Answer:

If there is an outlier you should report the median. This is because the value of a mean can be distorted by the outliers. So, you can use the median when the distribution is not symmetrical.  

Step-by-step explanation:

Answer:

5/18 of a semicircle

5π/18 radians

Step-by-step explanation:

50/180 = 5/18 of a semicircle

5π/18 radians

Answer:

the area is 17 time 8 which equals 136 so 136 is your answer for that and i don't know  the perimeter

Step-by-step explanation:

Answer: x=6/5

Step-by-step explanation:

Answer:

6/5

Step-by-step explanation: