work out the area of this trapezium
6cm
10cm
8cm
17cm

Answers

Answer 1

Answer:

  (81√15)/4 ≈ 78.43 cm²

Step-by-step explanation:

It can help to draw a diagram.

The base angle at the side of length 6 can be found using the Law of Cosines. Its opposite side is of length 8, and the two adjacent sides are of length 6 and 7. So, we have ...

  8² = 6² +7² -2·6·7·cos(α)

  cos(α) = (36+49-64)/(84) = 1/4

  α = arccos(1/4) ≈ 75.522°

Then the height of the trapezium is ...

  6·sin(75.522°) ≈ 5.80948 . . . . cm

__

The area of the trapezium is given by the formula ...

  A = 1/2(b1 +b2)h

  A = (1/2)(17 +10)(5.80948) . . . . cm²

  A ≈ 78.43 cm²

__

Of course, sin(arccos(1/4)) = (√15)/4, so the exact formulation of the area is ...

  A = (81√15)/4 cm²

Work Out The Area Of This Trapezium 6cm10cm8cm17cm

Related Questions

Diego is collecting dimes and nickels in a jar. He has collected $22.25 so far. The relationship between the numbers of dimes and nickels, and the amount of money in dollars is represented by the equation 0.10d+0.05n=22.25. Select the THREE values (d,n) that could be solutions to the equation. ( 0 , 445 ) ( 0.50 , 435 ) ( 233 , 21 ) ( 118 , 209 ) ( 172 , 101 )

Answers

Answer:

Correct options are:

a) ( 0 , 445 )

d) ( 118 , 209 )

e) ( 172 , 101 )

Step-by-step explanation:

A nickel is worth 5 cents $0.05

A dime is worth 10 cents = $0.10

The relationship between the numbers of dimes and nickels, and the amount of money in dollars is represented by the equation 0.10d+0.05n=22.25. Select the THREE values (d,n) that could be solutions to the equation.

a) ( 0 , 445 )

b) ( 0.50 , 435 )

c) ( 233 , 21 )

d)( 118 , 209 )

e)( 172 , 101 )

Verifying the options

a) ( 0 , 445 )

0.10d+0.05n=22.25.

= 0.10(0) + 0.05(445) = 22.25

= 22.25 = 22.25

Options a) is correct

b) ( 0.50 , 435 )

0.10d+0.05n=22.25.

= 0.10(0.50) + 0.05(435) = 22.25

= 21.8 ≠ 22.25

Option b is incorrect

c) ( 233 , 21 )

0.10d+0.05n=22.25.

= 0.10(233) + 0.05(21) = 22.25

= 24.35 ≠22.25

Option c is incorrect

d) ( 118 , 209 )

0.10d+0.05n=22.25.

= 0.10(118) + 0.05(209) = 22.25

= 22.25 = 22.25

Option d) is correct

e) ( 172 , 101 )

0.10d+0.05n=22.25.

= 0.10(172) + 0.05(101) = 22.25

= 22.25 = 22.25

Option e) is correct

What value of X will make the following equation true?
14x - 12 = 4 - 42x

Answers

The answer to the equation is  [tex]x=\frac{2}{7}[/tex]

First, you must add 12 on each side

[tex]14x=16-42x[/tex]

Then, you add 42x on each side

[tex]56x=16[/tex]

Finally, divide each side by 56

[tex]x=\frac{2}{7}[/tex]

The value of x = 2/7 which makes the equation 14x - 12 = 4 - 42x true.

What is a linear equation?

A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form Ax + B = 0.

14x - 12 = 4 - 42x

14x + 42x = 4 + 12

56x = 16

x = 2 / 7

Therefore, The value of x = 2/7 which makes the equation 14x - 12 = 4 - 42x true.

Learn about linear equations here:

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Explain how to get this answer 2m+3p+4m-p

Answers

Answer:

6m+2p

Step-by-step explanation:

Simplify the expression

To answer the equation 2m+3p+4m-p, we first combine like terms, so we do (2m+4m)+(3p-p) and make it 6m+2p
So you SIMPLIFIED answer is 6m+2p and your FACTORED answer is 2(3m+p) since both sides can be divided by 2 evenly

Answer this for 15 POINTS and BRAINLIEST

Answers

Answer:

6/15=y

Step-by-step explanation:

cuz

Julie and Carlos each generated a real number equivalent to
64
Which expression could NOT belong to Julie or Carlos?
ОА
15.8-2
B
8-2.22
С
4-4.2²
D
2-10.24

Answers

100-100-200300.00 and B. 12.3

In January, Jeff bought three rabbits. By February, the rabbit population
had doubled. By March, Jeff noticed that the population of the rabbits
had doubled again. How many rabbits will Jeff have by May?

Answers

Answer:

Jeff will have 48 rabbits by May

If t^3=6427, what is the value of t?

Answers

2Answer:

r22

Step-by-step explanation:

For Exercises 19-24, a, b, c, and d are distinct lines in the same plane. For each combination of relationships, tell how a and d relate. Justify your answer.

I don't understand the symbols​

Answers

Answer:

a is parallel to d

a and d are parallel, and are perpendicular to c and d (those are parallel to each other)

RESULT

They are parallel

Step-by-step explanation:

The distinct lines in the exercise are either parallel or perpendicular.

19. a and d are parallel lines20. a and d are perpendicular lines21. a and d are parallel lines22. a and d are perpendicular lines23. a and d are parallel lines24. a and d are parallel lines

In geometry, || means parallel lines, while [tex]\mathbf{\perp }[/tex] means perpendicular lines

From the complete question (see attachment), we have the following highlights

Question 19.

Lines (a) to (d) are parallel.

So, lines (a) and (d) are parallel lines

Question 20.

Lines (a) to (c) are parallel.

But line (c) is perpendicular to line (d)

So, lines (a) and (d) are perpendicular lines

Question 21.

Lines (a) and (b) are parallel.

Lines (b) and (c) are perpendicular; so, lines (a) and (c) are perpendicular lines

Lines (c) and (d) are perpendicular; so, lines (a) and (d) are parallel lines

Question 22.

Lines (a) and (b) are perpendicular.

Lines (b) to (d) are parallel; so, lines (a) and (d) are perpendicular lines

Question 23.

Lines (a) and (b) are parallel.

Lines (b) to (d) are perpendicular; so, lines (a) and (d) are parallel lines

Question 24.

Lines (a) and (b) are perpendicular.

Lines (b) and (c) are parallel; so, lines (a) and (c) are perpendicular lines

Lines (c) and (d) are perpendicular; so, lines (a) and (d) are parallel lines

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One gallon is equal to about 3.7854 liters.

What is this amount rounded to the nearest thousandth?

Answers

Theeee answer is 3.785

solve x² =-169
thank you so much to whoever hlps me

Answers

Answer:

yor final answer is going to be 59

Step-by-step explanation:

59

Answer:

13

Step-by-step explanation:

.1% as a decimal and fraction

Answers

decimal = 0.001
fraction = 1/1000

Percent Decimal Fraction

1%          0.01 1/100

Hope this helps

What was Mike's average rate of descent over his last three hours?

Answers

Answer:

The average rate of descent over the last 3 hours is 1000 ft/h.

Step-by-step explanation:

Rate of Change

It's usually referred to as to the variation that one magnitude has in reference to another. The reference magnitude can be time t. The rate of change is calculated as the slope of the curve that represents the function.

The image shows the variation of Mike's height above sea level in feet with time in hours. We need to calculate the rate of change in the last three hours (from 7 to 10).

The rate of change can be calculated with the slope of the line, which formula is:

[tex]\displaystyle m=\frac{h_2-h_1}{t_2-t_1}[/tex]

Let's pick two points (7,4000) (10,1000):

[tex]\displaystyle m=\frac{1000-4000}{10-7}=\frac{-3000}{3}=-1000[/tex]

[tex]m=-1000\ ft/h[/tex]

Note the rate of change is negative, which means the height is decreasing.

The average rate of descent over the last 3 hours is 1000 ft/h.

PLEASE HELP!! DUE IN AN HOUR!

Answers

Answer:

Step-by-step explanation:

4. angle  3= 117, angle 4 and angle 2=63

5. angle 4= 59, angle 1 and 3= 121

6. angle 2= 88, angle 1 and angle 3= 92

If x – 10 = 5x - 10, what is the value of x?

Answers

Answer:

[tex]\boxed {x = 0}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]x - 10 = 5x - 10[/tex]

-Take [tex]5x[/tex] and subtract it from [tex]x[/tex]:

[tex]x - 10 - 5x = 5x - 5x - 10[/tex]

[tex]-4x - 10 = -10[/tex]

-Add [tex]10[/tex] to both sides:

[tex]-4x - 10 + 10 = -10 + 10[/tex]

[tex]4x = 0[/tex]

-Since [tex]4x[/tex] does not equal to [tex]0[/tex], then [tex]x[/tex] must equal to [tex]0[/tex]:

[tex]\boxed {x = 0}[/tex]

Complete the table below using the Midpoint and Distance Formulas.

Given: M is the midpoint of LaTeX: \overline{AB}A B ¯ and A is the midpoint of LaTeX: \overline{MB_1}M B 1 ¯

Diagonal Line Segment
Coordinates of A (-12,4)
Coordinates of M (12,11)
Coordinates of B (
36
,
18
)
Coordinates of B1 (
36
,
18
)
Length of AB
50
Length of AB1
12.5

Answers

Answer:a

Step-by-step explanation:

Need help, Write the equation of the line that passes through the points (-2, -3) and (8,3) first in point-slope form, and then in slope-intercept form.

Answers

Answer:

the slope intercept formula would be: y=3/4x-3. Hope this helps!

Step-by-step explanation:

help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help

Answers

Answer:

Blue, the first one.

36x + 145 = 433.

Answer:

its blue

Step-by-step explanation:

Find the distance between the following two points:
(4,-1) and (7,-3)

Answers

Answer:

[tex]d = \sqrt{13}[/tex]

Step-by-step explanation:

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in the 2 coordinates into the distance formula to find distance d:

[tex]d = \sqrt{(7-4)^2+(-3-(-1))^2}[/tex]

[tex]d = \sqrt{(3)^2+(-3+1)^2}[/tex]

[tex]d = \sqrt{9+(-2)^2}[/tex]

[tex]d = \sqrt{9+4}[/tex]

[tex]d = \sqrt{13}[/tex]

Find the difference: 2x + 10 - 3 / x+4

Answers

Sn you are going to be

Answer:

the answer is b edge 2022

Step-by-step explanation:

passes through (4 -7) and has vertex (1 -6) in vertex form. I need it quickly, please!!!

Answers

Wait a minute - sorry I misunderstood the question lol

The equation of the parabola is y = -1/9(x- 1)^2 - 6.

What is vertex form of a quadratic equation?

If a quadratic equation is written in the form

y=a(x-h)^2 + k

then it is called to be in vertex form.

It is given that the equation passes through (4 -7) and has vertex (1 -6) in vertex form will be;

y=a(x-h)^2 + k

Since the vertex is at (1, -6), we can write the equation as

y = a(x- 1)^2 - 6

Also, since the parabola passes through (4, -7), we can find the value for a,

-7 =  a(4 - 1)^2 - 6

-7 = 9a - 6

a = -1/9

Hence, the equation of the parabola is

y = -1/9(x- 1)^2 - 6

Learn more about vertex form of a quadratic equation here:

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#SPJ2

Use the diagram at the right for #1 – 2.
1. Determine if the given points are collinear or not collinear.
points E, H, and ]
b.
points F, ), and E
points G, J, and E
points G, H, and )

Answers

Answer:

a

Step-by-step explanation:

Answer:

your answer is FandE happy to help :))))

LaToya is buying corn chips and soda. She has 4 bags of corn chips and 5 bottles of soda in her shopping cart. The marginal utility of the fourth bag of corn chips is​ 10, and the marginal utility of the fifth bottle of soda is also 10. Is LaToya maximizing​ utility? A. No. She is maximizing marginal utility but not total utility. B. This cannot be determined because we do not know the price of corn chips and soda and whether or not she fully spent her budget allocated to corn chips and soda. C. Yes. She is maximizing utility. D. No. She is not maximizing marginal utility.

Answers

Answer:

Option B: This cannot be determined because we do not know the price of corn chips and soda and whether or not she fully spent her budget allocated to corn chips and soda.

Step-by-step explanation:

Maximization of utility of the goods given is defined as the satisfaction or benefit La Toya derived based on the amount of money she spent on the corn chips and bottles of soda.

Now, for us to know if she is maximizing utility, we need to know the price of the goods and also if she spent all the money she allocated for the corn chips and bottle of soda. This would in turn help us to know how she spent her money and if the expenses she made was most beneficial to her.

Thus, the correct answer is Option B

Before soccer practice, Laura warms up by jogging around the outside of the entire soccer field. Measures 80meters by 120meters If Laura wants to know how much Meyers she jogged in all, which measurement should she find? A- perimeter B-Length C-Area

Answers

Answer:

PERIMETER

Step-by-step explanation:

If Laura wants to know how much Meyers she jogged in all, then she will need to find the perimeter of the entire soccer field.

Perimeter is a distance along the edges of a geometric shape.

Since the soccer field is rectangular in nature, the perimeter is calculated as;

P = 2(L+W)

L is the length

W is the width

Given

Length = 80meters

Width = 120metres

P = 2(80+120)

P = 2(200)

P = 400m

The total distance she covered is 400m

Hence the measurement she should find is Perimeter.

5 − 2 = 25 plz help fast 10 points

Answers

Answer:

5-2x=25

5-25=2x

-20=2x

x=-10

Step-by-step explanation:

Answer:

5 - 2 = 3

Step-by-step explanation:

Start with 5. Take away 2 from 5, and you get 3.

Hope this helped, if not, don’t hate.

What is the equation for the situation? [The number of pizza meals sold by the concession stand was three times the number of hot dog meals. If the pizza meal cost $4, the hot dog meal cost $2, and the total revenue from the meals was $658, how many of each meal was sold?] 1 point

Answers

Answer:

164.5

Step-by-step explanation: just sat it was mental math

Find the difference in altitude between 2,933 feet on a mountain peak and - 298 feet on a valley floor. The difference in altitude is feet.

Answers

Answer:

3,231 feet

Step-by-step explanation:

Find the difference between the two heights by subtracting them:

2933 - (-298)

2933 + 298

= 3231

So, the difference in altitude is 3,231 feet

Answer:

3,231

Step-by-step explanation:

To get the answer, you should:

2,933 + 298 = 3,231

Which of the following is an example of control ?
A) Performing five different studies of the same drug
B) Repeating a study 10 times
C) Studying the effects of both therapy and no therapy on students
D) Assigning fest subjects to test groups arbitrarily

Answers

Answer:

C) Studying the effects of both therapy and no therapy on students

Step-by-step explanation:

Answer:

it’s d just did the quiz the above is no smart

Step-by-step explanation:

Five times the sum of a number and 3 is 35. Find the number.

Answers

Answer:

4

Step-by-step explanation:

Let the required number be x.

Since, Five times the sum of a number and 3 is 35.

[tex]5(x + 3) = 35 \\ \\ x + 3 = \frac{35}{5} \\ \\ x + 3 = 7 \\ \\ x = 7 - 3 \\ \\ x = 4[/tex]

the number would be 4 because 3+4=7 & 7x5=35

Can anyone help, i kinda forgot how to do these-

Answers

Answer:

more than half the students earned higher than 80% on the test

Step-by-step explanation

ONLY NEED HELP WITH 6 I PUT A PICTURE ABOVE DUR VERY SOON!!!!!!!

Answers

Answer:

slope is 4

y-intercept is 1

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