10 of 10
Work out the area of a rectangle with base, b = 38mm and perimeter, P =
100mm.
b

Answer:

B.  120°

Step-by-step explanation:

Sum of the measures of the interior angle of a polygon with n sides:

(n - 2)180

We have a pentagon, a 5-sided polygon, so n = 5.

We first find the sum of the measures of the angles of any pentagon.

(5 - 2)180 = 3(180) = 540

From the figure, we add the measures of the 5 angles and set the sum equal to 540°.

3x + 4x + 4x + 4x + 3x = 540°

18x = 540°

Divide both sides by 18.

x = 30°

The angle at vertex C measures 4x.

4x = 4 * 30° = 120°

Answer: B.  120°

Step-by-step explanation:

i hope this will help you

Answer:

give that person brainliest

Step-by-step explanation:

I am tired bestie. You are lucky we are friends. want sleep but homeworrkkk

Answer:

10 km/hr

Step-by-step explanation:

Average speed = Total distance travelled / Total time taken

Ardi:

Total distance travelled = 70 km

Total time taken = 35 minutes = 35/60 hour

Average speed = Total distance travelled / Total time taken

= 70 km ÷ 35/60 hr

= 70 × 60/35

= 4,200/35

= 120 km/hr

Lei:

Total distance travelled = 585 km Total time taken = 9:05 - 13:35 = 4 hours 30 minutes

= 4.5 hours

Average speed = Total distance travelled / Total time taken

= 585 km / 4.5 hours

= 130 km/hr

Difference, in km/h, between the average speed of their trains = Lei's train - Ardi's train

= 130 km/hr - 120 km/hr

= 10 km/hr

Answer:

x-2

Step-by-step explanation:

Dividing 3x2 – 10x + 8 by 3x-4 we get x-2.

Answer:

Zero

Step-by-step explanation:

Given: 3x+13=3(x+6)+1

Step 1: Expand

3x+13=3x+19

Step 2: Subtract 3 from both sides

3x+13-13=3x+19-13

Step 3: Simplify

3x=3x+6

Step 4: Subtract 3x from both sides

3x-3x=3x-3x+6

Step 5: Simplify

0=6

NO REAL SOLUTIONS

Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?  

Answer:

zero

Step-by-step explanation:

3x + 13 = 3(x + 6) + 1

3x + 13 = 3x + 18 + 1

3x - 3x = 18 + 1 - 13

0 = 18 + 1 - 13

0 = 6

NO SOLUTION

Answer:

Option c. 59°

Step-by-step explanation:

<W+<Y=180

121+<Y=180

<Y=180-121

<Y=59

Answered by GAUTHMATH

Answer:

76°,60°

Step-by-step explanation:

sum of angles of a triangle=180

x+64+x+80+44=180

2x+188=180

2x=180-188=-8

x=-8/2=-4

so angles are -4+60=60°

and -4+80=76°

Answer:

Office personnel refers to the office chief, sectional chiefs and assistants that carry out all the administrative as well as clerical functions jointly to archive the objectives of an organization.

Answer:

Step-by-step explanation:

True. The function appears to be f(x) = x/4.

Answer:

65/264 or 0.2462

Step-by-step explanation:

The given series is

(1/1.2.3) + (1/2.3.4) + (1/3.4.5) + ………………

If we denote the series by

u(1) + u(2) + u(3) + u(4) +……………..u(n),

where u(n) is the nth term, then

u(n) = 1/[n(n+1)(n+2)] , n = 1,2,3,4,………n.

which can be written as

u(n) = (1/2) [1/n(n+1) - 1/(n+1)(n+2)] ………………………(1)

In the question, the number of terms n =10, thereby restricting us only to first 10 terms of the series and we have to find the sum for this truncated series. Let S(10) denote the required sum. We have then from (1),

u(1) = (1/2) (1/1.2 - 1/2.3)

u(2) = (1/2) (1/2.3 - 1/3.4)

u(3) = (1/2) (1/3.4 - 1/4.5)

u(4) = (1/2) (1/4.5 - 1/5.6)

u(5) = (1/2) (1/5.6 - 1/6.7)

u(6) = (1/2) (1/6.7 - 1/7.8)

u(7) = (1/2) (1/7.8 - 1/8.9)

u(8) = (1/2) (1/8.9 - 1/9.10)

u(9) = (1/2) (1/9.10 - 1/10.11)

u(10) = (1/2) (1/10.11 - 1/11.12)

Let us now add the terms on LHS and the terms on RHS independently. The sum of LHS is nothing but the sum S(10) of the series up to 10 terms. On the RHS, alternate terms cancel and we are left with only the first and the last term. Therefore,

S(10) = (1/2) (1/1.2 - 1/11.12) = (1/2) (66–1)/132 = [65/(132.2)]

= 65/264

= 0.2462 (correct to four decimal places)

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Answer:

Vertex= (-5,-4)

Another point=(0, -129)

Step-by-step explanation:

The vertex is also the maximum, and the point is also the y-intercept.

Answer:

14 $1 coin

12 quarter coin

Step-by-step explanation:

Let :

x = $1 dollar coin

y = $0.25 (1 quarter) coin

x + y = 26 - - - (1)

1x + 0.25y = 17 - - - - (2)

From (1) :

x = 26 - y

Put x = 26 - y in (2)

1(26 - y) + 0.25y = 17

26 - y + 0.25y = 17

-y + 0.25y = 17 - 26

-0.75y = - 9

Divide both sides by - 0.75

-0.75y /- 0.75 = - 9 / - 0.75

y = 12

Put y = 12 in (1)

x = 26 - 12

x = 14

Answer:

must be parallel

Step-by-step explanation:

They must be parallel.

Answer:

M(-5/2, -2)

Step-by-step explanation:

Add the x-coordinates & divide by 2.

Add the y-coordinates and divide by 2.

x-coordinates: -4, -1

(-4 + (-1))/2 = -5/2

y-coordinates: -8, 4

(-8 + 4)/2 = -4/2 = -2

M(-5/2, -2)

Step-by-step explanation:

hope it helps

Answer:

I think yes

Step-by-step explanation:

12/4=3

36/12=3

-6/-2=3

and so on

Answer:

x + 5y -18=0

Step-by-step explanation:

Two points are given to us and we need to find the equation of the line. The given points are (6,3) and (-6,6) . Firstly let's find out the slope of the line .

Finding slope :-

[tex]\implies Slope = \frac{ y_2-y_1}{x_2-x_1} \\\\\implies Slope =\frac{ 3-6}{6+6} \\\\\sf\implies Slope =\frac{ -3}{12} \\\\\sf\implies Slope = \dfrac{-1}{4} [/tex]

Using point slope form :-

[tex]\implies y - y_1 = m( x - x_1 ) \\\\\sf\implies y - 3 = \dfrac{-1}{4}( x - 6)\\\\\sf\implies 4y - 12 = 6 - x \\\\\sf\implies x + 4y -12-6=0 \\\\\sf\implies\underline {\underline{ x + 5y -18=0}}[/tex]

Answer:

y = 4x² - 43x + 178

Step-by-step explanation:

Given that data:

1 __ 137

2 __ 110

3 __ 93

4 __ 70

5 __ 65

6 __ 77

Usibg technology, the quadratic regression equation obtained is written in the form:

Ax² + Bx + C

A = 4.34 = 4 ( nearest whole number)

B = - 43.46 = - 43 (nearest whole number)

C = 178.3 = 178 ( nearest whole number)

Hence, the quadratic model is

y = 4x² - 43x + 178

By rounding the coefficients to the nearest whole number, the quadratic function that models the data is[tex]f(x) = 5x^2 - 42x + 174[/tex]

To find a quadratic function that models the data,  use a quadratic equation of the form:

[tex]f(x) = ax^2 + bx + c[/tex]

Let's use the given data points to form a system of equations and solve for the coefficients a, b, and c.

Using the first data point (month 1 with 137 births):

[tex]f(1) = a(1)^2 + b(1) + c = 137[/tex]

a + b + c = 137 (Equation 1)

Using the second data point (month 2 with 110 births):

[tex]f(2) = a(2)^2 + b(2) + c = 110[/tex]

4a + 2b + c = 110 (Equation 2)

Using the third data point (month 3 with 93 births):

[tex]f(3) = a(3)^2 + b(3) + c = 93[/tex]

This simplifies to:

9a + 3b + c = 93 (Equation 3)

Solve this system of equations will give us the values of a, b, and c.

Subtract Equation 1 from Equation 2

3a + b = -27 (Equation 4)

Subtract Equation 1 from Equation 3

8a + 2b = -44 (Equation 5)

Now  solve Equations 4 and 5 simultaneously.

Multiply Equation 4 by 2 and subtracting it from Equation 5:

8a + 2b - (6a + 2b) = -44 - (-54)

2a = 10

Divide both sides by 2:

a = 5

Now substitute the value of a back into Equation 4:

3(5) + b = -27

15 + b = -27

Subtract 15 from both sides:

b = -42

Finally, substitute the values of a and b into Equation 1

5 + (-42) + c = 137

-37 + c = 137

Add 37 to both sides:

c = 174

Therefore, the quadratic function that models the data is:

[tex]f(x) = 5x^2 - 42x + 174[/tex]

Rounding the coefficients to the nearest whole number, the quadratic function becomes:

[tex]f(x) = 5x^2 - 42x + 174[/tex]

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The solution for x is x = (y + 49)/7.

Given that an equation 7x - 49 = y, we need to determine the equation in for of x,

To solve for x in the equation 7x - 49 = y, we'll isolate x on one side of the equation.

Here's the step-by-step process:

Start with the given equation: 7x - 49 = y.

Add 49 to both sides of the equation to isolate the term with x:

7x = y + 49.

Divide both sides of the equation by 7 to solve for x:

(7x)/7 = (y + 49)/7.

Simplify:

x = (y + 49)/7.

Therefore, the solution for x is x = (y + 49)/7.

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Answer:

you did not apply an expression

Step-by-step explanation:

Answer:

5 3 3 2 2

Step-by-step explanation:

180

90 2

45 2 2

15 3 2 2

5 3 3 2 2

Answer:

180 = 5 × 3² × 2²

Step-by-step explanation:

Starting with 180, the prime factors are in bold

180 = 90 × 2

      = 45 × 2 × 2

      = 15 × 3 × 2 × 2

      = 5 × 3 × 3 × 2 × 2

Then

180 = 5 × 3 × 3 × 2 × 2 = 5 × 3² × 2²

Step-by-step explanation:

by switching the places of x and y ans solving for y

If a student receives a score of 80, how many questions did this student answer ... (5). Let x = the first number, and y = the second number ... If John only has 25 coins in his pocket, how many of the coins are quarters?

Answer:

The transformation that maps Triangle A onto Triangle B is a reflection of Triangle A across the axis "y=-1".

Step-by-step explanation:

The transformation that maps triangle A to triangle B is a reflection over the line y = -1.

Given are two triangles A, we need to determine the transformation performed to get the image of triangle A, i.e., triangle B.

The coordinates of the triangle A are:
(1, -5), (1, -2) and (3, -2)

The coordinates of the triangle B are:

(1, 3), (1, 0) and (3, 0)

By comparing the corresponding vertices, we can observe that the x-coordinates remain the same while the y-coordinates change.

The transformation that maps triangle A to triangle B is a reflection over the line y = -1.

This reflection flips the triangle across the line, resulting in the change of sign for the y-coordinates while leaving the x-coordinates unchanged.

Hence the transformation performed to obtain triangle B from triangle A is a reflection over the line y = -1.

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If “the notation arcsin x represents the inverse function to sine” is true when the sine function is to the interval [ -pi/2, pi/2 ].

The sine function is one of the three primary functions in trigonometry, the others being cosine, and tan functions.

The confusion is compounded by the fact that we use the notation sin⁻¹(x) interchangeably with arcsin(x), and we call it the inverse sine.

Here is a counterexample disproving your given statement:

Let x = π.

The value π is in the domain of sin(x).

arcsin[sin(π)] = arcsin(0) = 0

arcsin[sin(π)] ≠ π

Therefore arcsin(x) is not the inverse of sin(x).

If you restrict the sine function to the interval [ -pi/2, pi/2 ]. Otherwise, arcsin will not be a function.

Hence, If “the notation arcsin x represents the inverse function to sine” is true when the sine function is to the interval [ -pi/2, pi/2 ].

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Answer:

7/25 or .28

Step-by-step explanation:

sin=opp/hyp

7/25

Answer:

the answer is rotation hope it helps ahhaha

Answer:

35 miles

Step-by-step explanation:

Total Miles driven at full tank = 230 miles

Miles drive at full tank from Austin to Dallas = 195 miles

How many miles will be left once he arrives in Dallas?

Number of miles remaining at full tank = Total Miles driven at full tank - Miles drive at full tank from Austin to Dallas

= 230 miles - 195 miles

= 35 miles