calculate the area of the shape

Calculate The Area Of The Shape

Answers

Answer 1
Answer:   a. 164 u²

Step-by-step explanation:

Area of a trapezium  = ¹/₂ (a + b) h

But the height isn't given. So we have to solve for it.

h = √(10² - 6²)         [using the Pythagorean theorem]

  =  8

       

∴ Area of the shape =   ¹/₂  (13 + 28) 8

                                 =  164 u²


Related Questions

Line segment RS has endpoints R (-2, 4) and S (-4, -1).

Line segment R''S'' has endpoints R'' (3, -3) and S'' (5, 2).


Name the transformation that maps line segment RS to line segment R''S''.

Answers

Answer:

rotation 180° (ccw) over point (0.5 , 0.5)

Step-by-step explanation:

R (-2, 4) , S (-4, -1) -> R'' (3, -3) , S'' (5, 2)

check: rotation over (0.5,0.5) 180°

x'' = - (x - x₀) + x₀  .. x: original x coordinate, x₀ : center of rotation

y" = - (y - y₀) + y₀

for R" : x" = - (-2 - 0.5) + 0.5 = 3

           y" = -(4 - 0.5) + 0.5 = -3

You can verify the coordinates of S" by the above formula.

** (0.5,0.5) is the intersect of RR" and SS"

Movie tickets now average $9.75 per ticket, but are increasing 7% each year.
What is the growth factor?

Answers

Answer:

The Tickets grow approximately ¢68 or $0.68 each year

Step-by-step explanation:

7% of 9.75 = 0.68

A percentage is out of a fraction of 100; 7/100

Hope This Helps!

ALL FELLOW PEOPLE I NEED HELP ASAP ! WILL MARK BRAINLIEST!!EXTRA POINTS !!!!

Answers

Answer: y = -5/3x + 4 and 5x + 2y = 4

Step-by-step explanation:

1. Firstly, we should substract 5x on both sides of the equation.

3y = -5x + 12

Then we divide by 3 on both sides of the equation. This would give us our answer.

y = -5/3x + 4

2. The answer is 5x + 2y = 4.

The slope of parallel lines should be the same. If we want to isolate y of the above the equation we should first substract 5x on both sides.

2y = -5x + 4

Then we should divide 2 on both sides of the equation.

y = -5/2x + 4

The equation above and y = -5/2x -7 have the same slope. Therefore, they are parallel.

The third answer is correct

Please help I will give Brainiest if correct!
What is the rate of change?

Answers

Answer: 2 is the correct answer I am 100% positive

Step-by-step explanation:

Answer: the rate of change is 2

Step-by-step explanation:

A Mars rover traveled from point A to point B at a speed of 4 cm/sec. Worsening conditions during the return trip caused the rover to travel at a speed of 2.5 cm/sec, and increased travel time by 15 minutes. What is the distance between point A and point B?

Answers

Using the speed - time relation, the distance between point A and B is 6000 cm

Recall :

Distance = speed × time Time = distance / speed

Let ; the time taken = t ; distance = d

To trip :

d = 4t ----(1)

Fro trip :

t is in seconds ; 15 minutes = (15×60) = 900 seconds

d = 2.5(t + 900)

d = 2.5t + 2250 - - - - - (2)

Equating (1) and (2)

4t = 2.5t + 2250

Collect like terms

4t - 2.5t = 2250

1.5t = 2250

t = 2250 / 1.5

t = 1500 seconds

Hence, distance = 4(t) = 4(1500) = 6000 cm

Therefore, the distance between the points is 6000 cm

Learn more : https://brainly.com/question/25203683

Can somebody solve this for me?

Answers

Answer:

Area of rectangle = L x W

Step-by-step explanation:

A = L x W

L = 18

W = 10 + 5

so,

A = 18 x (10+5)

A = 18 x 15

A = 270

what is the lcm of 9 and 12

Answers

Hi there! To find the LCM of 9 and 12, let's first list some of their multiples.

9: 9, 18, 27, 36, 45, 54, 63, 72, 81...

12: 12, 24, 36, 48, 60, 72, 84...

Do you see what I see? The LCM is 36. Hope this helps!

~Just an emotional teen who listens to her favorite songs

[tex]SilentNature[/tex]

Solve the equation.

y + 6 = -3y + 26

O y=-8

O y=-5

O y = 5

O y = 8

Answers

y= 5 is the correct answer i hope this helped you!

The solution of Equation is y=5.

The correct option is C.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have,

y+ 6 = -3y + 26

Now, solving for y we get

y + 3y= 26 - 6

4y= 20

y= 20/4

y= 5

Thus, the value of y is 5.

Learn more about Equation here:

https://brainly.com/question/29538993

#SPJ2

5. The two figures are scaled copies of each other.
a. What is the
scale factor that
takes Figure 1
to Figure 2?
e
P
ס
R
С
A
A
b. What is the
scale factor that
takes Figure 2.
to Figure 1?
D
Figure 1
Figure 2
S

Answers

The quadrilaterals are similar and are related by a scale factor, taken from

a specific location, that maps the points on one figure to the other.

a. The scale factor that takes Figure 1 to Figure 2, is 3

b. The scale factor that takes Figure 2 to Figure 1 is [tex]\dfrac{1}{3}[/tex]

Reasons:

From the question, we have that Figure 1 is a scaled copy of Figure 2, therefore;

Let ABCD represent Figure 1, we have;

ABCD ~ PQRS

Length of [tex]\overline{AD}[/tex] = √(2² + 3²) = √(13)

Length of [tex]\overline{PS}[/tex] = √(6² + 9²) = √(117) = √(9 × 13) = 3·√(13)

Therefore;

a. The scale factor that takes Figure 1 to Figure 2, SF₁₂, is therefore;

[tex]SF_{12} = \mathbf{\dfrac{\overline{PS}}{\overline{AD}}}[/tex]

Which gives;

[tex]SF_{12} = \dfrac{3 \cdot \sqrt{13} }{\sqrt{13} } = 3[/tex]

The scale factor that takes Figure 1 to Figure 2, SF₁₂ = 3

(3 times the lengths of Figure 1 gives the lengths on Figure 2)

b. The scale factor that takes Figure 2 to Figure 1, SF₂₁, is given as follows;

[tex]SF_{21} = \mathbf{\dfrac{\overline{AD}}{\overline{PS}}}[/tex]

Which give;

[tex]SF_{21} = \dfrac{\sqrt{13} }{3 \cdot \sqrt{13} } = \mathbf{\dfrac{1}{3}}[/tex]

The scale factor that takes Figure 2 to Figure 1, SF₂₁ is [tex]\underline{\dfrac{1}{3}}[/tex]

Learn more here:

https://brainly.com/question/17207164

he difference of 29 and n

Answers

Answer:

absolute value of n - 29

Step-by-step explanation:

n - 29

Marques is a waiter at a restaurant. Each day he works, Marques will make a
guaranteed wage of $25, however the additional amount that Marques earns from
tips depends on the number of tables he waits on that day. From past experience,
Marques noticed that he will get about $14 in tips for each table he waits on. How
much would Marques expect to earn in a day on which he waits on 17 tables? How
much would Marques expect to make in a day when waiting on t tables?

Answers

Answer:

Step-by-step explanation:

25- guaranteed

$14 on each table waited on

He waited on 17.

17x14= $238 tips

238+25= $263

1. Marques expects to earn $263 on 17 tables

2. He expects to make 25+14t per day.

plz help
Which of the algebraic expressions below is equal to 28?
Select all that apply.(ANSWER ONLY IF YOU KNOW!)

A) (34)(20)×2
B) (24÷4)(7)
C) 9(7−3)–8
D) (3+4)⋅(22+3)

Answers

Answer:

ITS C

Step-by-step explanation:

9(7−3)−8

=(9)(4)−8

=36−8

=28

Answer:

C.

Step-by-step explanation:

9(7-3)-8

according to PEMDAS, we have to do the parenthesis first. so

9(4) - 8

then

36 - 8

which gives us 28.

Hope this helped! (:

Plssssssssssssssssssssssss

Answers

Answer:

16/5[tex]\sqrt{5\\}[/tex] 6/7-3

Answer:

Greatest:

16/5

/5

-3

6/7

I think, I am no t sure

Can someone help me please thank you

Answers

Di ko alam Yan sorry

Step-by-step explanation:

Bobo ako eh ML nalng Joke lang Tanong nalng kayo Ng iba

Answer:

152

Explination:

this is answer

Brainliest answer: thx(:

simplifiy the given epression
(-3.2)^0

Answers

Answer:

(-3.2)^0 = 1

Step-by-step explanation:

Anything to the power of 0 equals 1.

Answer:

1

Step-by-step explanation:

Any number raised to a power of 0 is equal to 1.

What does the number shown below equal to?
-15x = 390

Answers

Answer:

x =-26

Step-by-step explanation:

-15x = 390

Divide each side by -15

-15x/-15 = 390/-15

x =-26

Answer:

X = -26

Step-by-step explanation:

Divide both sides by -15.

390/-15 = -26

X is equal to -26.

12 cm
14 cm
1

-
Find volume

Answers

Answer:

Volume of cylinder = 6,330.24 cm

Solution:

Volume of cylinder = area of base × altitude

Volume = πr² × altitude

V= 3.14 × 12² × 14

V = 3.14 × 144 × 14

V = 6,330.24 cm

A number y is multiplied by -0.8. The product is -49.
What is the value of y?

Answers

(-0.8)y = -49

Divide both sides by -0.8

y=61.25

How many students spent less than 61 mins studying
6
11
12
17

Answers

Answer:    17

Step-by-step explanation:  

Help find the measure of X

Answers

Answer:

x = 3.236

Step-by-step explanation:

Justify each step
-12p+45-7p

Answers

Answer:

Given, Associative, Commutative, Associative, Addition

Step-by-step explanation:

-12p + 45 -7p           Given

-12p + (45 - 7p)        Associative

-12p + (-7p + 45)      Commutative

(-12p + -7p) + 45     Associative

-19p + 45                Addition

Write the equation of a line in slope-intercept form that has a slope of -1/4x and a y-intercept of 5

Answers

Answer:

Step-by-step explanation:

Slope = m = -1/4

y-intercept = b = 5

Slope intercept form = y = mx +b

[tex]y =\dfrac{-1}{4}x+5[/tex]

show that P(x)=x³-6x²+11x-6 is divisible by x-1.​

Answers

HERE IS YOUR ANSWER MATE

HOPE ITS HELPFUL

HAVE A GREAT FUTURE

LOVE FROM INDIA

Hello haohaoxNienie!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

Show that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.

[tex] \huge \boxed{\mathfrak{Explanation} \downarrow}[/tex]

To show that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1, we must divide the polynomial by x - 1. If we get the remainder as 0, then we can say that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.

__________________

So, let's do the division (steps in the attached picture).

__________________

We got the remainder as 0. So, yes p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.

__________________

More steps :-

x² - 5x + 6

= (x - 3) (x - 2) [use the splitting the middle term method].

So, the zeroes are,

(x - 3)

x - 3 = 0

x = 3 ⇨ 1st zero.

(x - 2)

x - 2 = 0

x = 2 ⇨ 2nd zero.

Now, use the values of x on the equation. If we get 0 as the solution of the equation then we can prove that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.

p(x) = x³ - 6x² + 11x - 6

p(3) = 3³ - 6(3)² + 11 (3) - 6

p(3) = 27 - 54 + 33 - 6

p(3) = 0.

p(x) = x³ - 6x² + 11x - 6

p(2) = 2³ - 6(2)² + 11 (2) - 6

p(2) = 8 - 24 + 22 - 6

p(2) = 0

Since we got the solutions as 0 we can say that p(x) = x³ - 6x² + 11x - 6 is divisible by x - 1.

__________________

Hope it'll help you!

ℓu¢αzz ッ

If the line t is a transversal of lines I and m, NAME THE SPECIAL ANGLE PAIR RELATIONSHIP of the given angle pairs.

Answers

Answer:

a. <1 and <3

Step-by-step explanation:

Given that
R
=
9
x
+
8
y

Find
x
when
y
=
3
and
R
=
5

Give your answer as an improper fraction in its simplest form.

Answers

Answer:

X = 19/9

Step-by-step explanation:

R = 9x + 8y

R = 5, Y = 3

5 = 9x + 8(3)

9x = 8(3) - 5

9x = 19

x = 19/9

1. What is 3/4 divided by 1/6

Answers

Answer:

9/2 or 4 1/2

Step-by-step explanation:

3/4 ÷ 1/6 = 3/4 × 63/4 × 6 = 18/418/4 = 9/29/2 = 4 1/2

Therefore, the answer is 9/2 or 4 1/2.

Answer: 3

Step-by-step explanation:

3/4 ÷ 1/6

3/4 × 6/1

Divide 4 and 6 by 2

3/2 × 3/1

3 × 3 / 2 × 1

6 / 2 = 3

The ages of the members of a family are 65, 58, 27, 25, 5, and 2 years old. What is the total admission price for the family to visit the zoo?

A picture shows an admission price board for people of different ages at a zoo. The ages of people and their admission price per person in dollars are as follows: 12 and under, 8; 13-59, 12; 60 and older, 10.

Answers

Answer:$62

Step-by-step explanation: 62 becuase I took your formula and plugged it in. There are 2 kids under 12 so thats $16, then there are 3 people who are 12-59 that equals $52, then 1 person who is over 60. So $62.

when reporting descriptive data such as the mean, what additional information should also be reported that expresses how different the scores are in the distribution?

Answers

The answer is: Variability

Find the slope of the line that contains the points (2,5) and (4,8).

Answers

Answer: Slope = 3/2 or 1.5

Answer: y= 1.5 x+2 or y=3/2x+2

Step-by-step explanation:Slope (m) =

ΔY

ΔX

=

3

2

= 1.5

θ =

arctan( ΔY )

ΔX

= 56.30993247402°

ΔX = 4 – 2 = 2

ΔY = 8 – 5 = 3

Distance (d) = √ΔX2 + ΔY2 = √13 = 3.605551275464

y = 1.5x + 2

or

y =

3 x

2

+ 2

When x=0, y = 2

When y=0, x = -1.3333333333333

Geometry please help me

Determining angle measures in context.

Answers

Answer:

d

Step-by-step explanation:

the corresponding angles are described by 2 parallel lines and a line that cross them all

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