A trapezoid is broken into a triangle and rectangle. The rectangle has a base of 10 centimeters and a height of 12 centimeters. The triangle has a base of 4 centimeters and a height of 12 centimeters.

A trapezoid was broken into a triangle and rectangle.

The area of the rectangle is _____cm2.

The area of the triangle is ______cm2.

The area of the trapezoid is ______cm2.

Answers

Answer 1

Answer:

area of rectangle = 120 cm²

area of triangle = 24 cm²

area of trapezoid = 144 cm²

Step-by-step explanation:

12 * 10 = 120

12 * 4 = 48

48 / 2

add the triangle and rectangle area together


Related Questions

What is F(-2) if f(x) =x^2+3

Answers

Step-by-step explanation:

f(-2)=-2^2+3

-2^2

-4+3

-1

Someone please help me

Answers

Answer:

1 read any graph left to right if up positive if down negative

Answer:  1

Step-by-step explanation:

we choice two points to find the slopes.

(0,-5) and (2,-3)

[tex]slope=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\\=\frac{-3-(-5)}{2-0}\\=\frac{2}{2}\\ \\=1[/tex]

Find the lengths of segments AD and BC.
5
3
B
D
4
2
с

Answers

Answer:

AD = 9, BC = 5

Step-by-step explanation:

Tangents to a circle from an external point are congruent, then

AD = 5 + 4 = 9 units

BC = 3 + 2 = 5 units

What is:
(s+12)+(3s-8)
simplified?

Answers

Answer:

4s+4

Step-by-step explanation:

I hoped this helped :)

Given that OA = 2x + 9y, OB = 4x + 8y and CD = 4x - 2y, explain the geometrical relationships between the straight lines AB and CD.

Answers

Answer:

The geometrical relationships between the straight lines AB and CD is that they have the same slope

Step-by-step explanation:

Given

[tex]OA = 2x + 9y[/tex]

[tex]OB = 4x + 8y[/tex]

[tex]CD = 4x - 2y[/tex]

Required

The relationship between AB, CD

Since AB is a straight line and O is the origin, then:

[tex]AB = (c - a)x + (d - b)y[/tex]

Where:

[tex]OA = ax + by[/tex] ====> [tex]OA = 2x + 9y[/tex]

[tex]OB = cx + dy[/tex] ====> [tex]OB = 4x + 8y[/tex]

This implies that:

[tex]a =2[/tex]      [tex]b = 9[/tex]     [tex]c = 4[/tex]   [tex]d = 8[/tex]  

So:

[tex]AB = (c - a)x + (d - b)y[/tex]

[tex]AB = (4 - 2)x + (8 - 9)y[/tex]

[tex]AB = 2x -y[/tex]

So, we have:

[tex]AB = 2x -y[/tex]

[tex]CD = 4x - 2y[/tex]

Calculate the slope (m) of [tex]AB\ and\ CD[/tex]

[tex]m = \frac{Coefficient\ of\ y}{Coefficient\ of\ y}[/tex]

For AB

[tex]m_1 = \frac{-1}{2}[/tex]

[tex]m_1 = -\frac{1}{2}[/tex]

For CD

[tex]m_2 = \frac{-2}{4}[/tex]

[tex]m_2 = \frac{-1}{2}[/tex]

[tex]m_2 = -\frac{1}{2}[/tex]

By comparison:

[tex]m_1 = m_2 = -\frac{1}{2}[/tex]

This implies that both lines have the same slope

The fabric is $3 times the number of yards of fabric n. Which equation gives the total cost c of n yards of fabric

Answers

Answer:

C = 3n

Step-by-step explanation:

Given that,

The fabric is $3 times the number of yards of fabric n.

We need to find an equation that gives the total cost c of n yards of fabric.

It means, the total cost of n yards of fabric is given by :

C = 3n

Where

n is yards of fabric.

James works at a shop and earns 5.5% commission on his sales. Last month, he earned $265.32 in commission. Calculate his sales for the month.

Answers

Answer:

$14.59

Step-by-step explanation:

commision percentage is 5.5, and total sales is $265.32 so the answer is $14.59.

I need help. Please give THE RIGHT ANSWER

Answers

the answer is in the pic



Line ST is perpendicular to line PR.
What is the measure of ZSQU?
90°

32°

148°

58°

Answers

Given:

Line ST is perpendicular to line PR.

[tex]m\angle PQV=32^\circ[/tex]

To find:

The measure of angle SQU.

Solution:

Line ST is perpendicular to line PR.

[tex]m\angle SQR=90^\circ[/tex]

If two lines intersect each other, then the vertically opposite angles are equal.

[tex]m\angle UQR=m\angle PQV[/tex]       (Vertically opposite angle)

[tex]m\angle UQR=32^\circ[/tex]

Now,

[tex]m\angle SQR=m\angle SQU+m\angle UQR[/tex]

[tex]90^\circ=m\angle SQU+32^\circ[/tex]

[tex]90^\circ-32^\circ=m\angle SQU[/tex]

[tex]58^\circ=m\angle SQU[/tex]

Therefore, the correct option is D.

90% of what = 81,000​

Answers

Answer:

90000

Step-by-step explanation:

Answer:

90,000

Step-by-step explanation:

81000=0.9*X

81000/0.9=X

X=90000

Hope this helps!

Which inequality had the graph shown below?

Answers

Answer:

y < 2x -3

Step-by-step explanation:

Determine the area of the following circle

31.4 sq.in.

78.5 sq.in.

15.7 sq.in.

314 sq.in​

Answers

Answer:

31.6 sq.in i got by using 2pier formula

Step-by-step explanation:

area of a circle = πr²

where π = pi = 3.14

r = radius = 5in

area= 3.14 (5²)

= 3.14 x25

= 78.5 sq.in

Please help
Find the area of a rhombus

Answers

Answer:30in^2

Step-by-step explanation:

Answer:

formila

Step-by-step explanation:

d2= lenght of diagonal 2, b= lenght of any side. h= height of rhombus.

Solve the given proportion.

x = [?]

Answers

Answer:

x=48

Step-by-step explanation:

I hope I helped!!1

what is the power times a power
where does the power go in a equation
how do you put a power in a equation

Answers

Answer:

The "power rule" tells us that to raise a power to a power, just multiply the exponents. Here you see that 52 raised to the 3rd power is equal to 56. The quotient rule tells us that we can divide two powers with the same base by subtracting the exponents.

Step-by-step explanation:

sup

Escribe and correct the error in finding the simple interest earned on $500 at 6% for 18 months. I=500(0.06)(18) I = 540

Answers

Answer: 45$

Step-by-step explanation:

Given

Principal [tex]P=\$500[/tex]

Rate [tex]R=6\%[/tex]

time [tex]t=18\ \text{months or}\ 1.5\ \text{years}[/tex]

Simple interest is given by

[tex]\Rightarrow S.I.=\dfrac{P\times R\times T}{100}[/tex]

In the question, time is taken in months which is incorrect

Putting values

[tex]\Rightarrow S.I.=\dfrac{500\times 6\times 1.5}{100}=45\$[/tex]

NEED HELP FRERE BRAINLIST

Answers

Answer:

7.5

Step-by-step explanation:

[tex]a^2+b^2=c^2\\x^2+5^2=9^2\\x^2+25=81\\x^2=56\\\sqrt{x^2} =\sqrt{56} \\x=7.5[/tex]

Hi, guys I am sorry to bother you but can yall help me. I will also be giving 540 points for free.

Answers

Answer:

question one C D E question two is A

(3+7i)+(-5+2)-(-7+6i)

Answers

don’t press the file it’s fake

Can someone tell me how to do this? This is so confusing to me.

Answers

Answer:

A. Rate of Change: 25/1

B. Initial Value: 100

C. Y=25x+100

D. After 6 months the cost is 250$

E. 475=25x+100

475=25x+100

375=25x

x=15

So E. is 15 months

Step-by-step explanation:

In a javelin throw competition, five athletics score 56, 58, 63, 57 and 61 meters. What are their Mean and Median?

Answers

Answer:

Mean = 59

Median = 58

Step-by-step explanation:

Given the data for a Javelin throw :

56, 58, 63, 57 61 meters

Reordering the data: 56, 57, 58, 61, 63

Mean, m = Σx / n

n = sample size = 5

m = (56 + 57 + 58 + 61 + 63) / 5

m = 295 / 5

m = 59

The median : 1/2 (n+1)th term

1/2(5 +1) the term

1/2(6) = 3rd term

Median value = 58

3200 seconds 18 hours 46 minutes 1 day write the time from fastest to slowest in seconds

Answers

Answer: 46 minutes, 3,200 seconds, 18 hours, 1 day

Step-by-step explanation:

Convert all of these to seconds:

3,200 seconds = 3,200 seconds

18 hours = 18 * 60 minutes * 60 seconds = 64,800 seconds

46 minutes = 46 * 60 = 2,760 seconds

1 day = 24 hours * 60 minutes * 60 seconds = 86,400 seconds

From fastest to slowest in seconds:

46, minutes, 3,200 seconds, 18 hours, 1 day

The bids in an online auction are represented by the arithmetic sequence shown below. Write an explicit formula to represent the bids as an arithmetic sequence. What is the ​bid?
​207,216,225,234

Answers

Answer:

aₙ = 207+9*(n-1)

Step-by-step explanation:

a1 = 207+9*(1-1) = 207

a2 = 207+9*(2-1) = 216

a3 = 207+9*(3-1) = 225

....

aₙ = 207+9*(n-1)

Help me pls asp I will give 100 points
The cone and cylinder above have the same radius and height. The volume of the cylinder is 48 cm3. What is the volume of the cone?
A.
24 cm3
B.
16 cm3
C.
96 cm3
D.
144 cm3

Answers

Answer:

Option B (16 cm³)

Step-by-step explanation:

GIVEN :-

Both cone and cylinder have same radius and height.Volume of cylinder = 48 cm³

TO FIND :-

Volume of cone

FACTS TO KNOW BEFORE SOLVING :-

Volume of a cylinder having radius 'r' and height 'h' is  [tex]\pi r^{2} h[/tex]Volume of a cone having radius 'r' and height 'h' is  [tex]\frac{1}{3} \pi r^{2} h[/tex]

Hence ,

Volume of cylinder = Thrice the volume of cone

[OR]

Volume of cone = One third of volume of cylinder

PROCEDURE :-

Volume of cone = [tex]\frac{1}{3} (Volume \: of \: cylinder) = \frac{48}{3} = 16cm^3[/tex]

Azmyne decided to spend 6 1/2 hours studying over the weekend. She spent 1 1/4 hours studying on Friday evening and 2 2/3 hours on Saturday. How much longer does she need to spend studying on Sunday in order to reach her goal?

Answers

Answer: [tex]2\ \dfrac{7}{12}\ \text{hours}[/tex]

Step-by-step explanation:

Given

Azmyne decided to study a total of [tex]6\ \frac{1}{2}\ hours[/tex]

She spent [tex]1\ \frac{1}{4}\ hours[/tex] on Friday and  [tex]2\ \frac{2}{3}\ hours[/tex] on Saturday

Hours spent on Friday

[tex]\Rightarrow 1\ \frac{1}{4}=\frac{5}{4}\ hours[/tex]

Hours spent on Saturday

[tex]\Rightarrow 2\ \frac{2}{3}=\frac{8}{3}\ hours[/tex]

She must study for

[tex]\Rightarrow \dfrac{13}{2}-\dfrac{5}{4}-\dfrac{8}{3}\\\\\Rightarrow \dfrac{13\times6-5\times3-8\times4}{12}=\dfrac{78-15-32}{12}\\\\\Rightarrow \dfrac{31}{12}=2\ \frac{7}{12}\ \text{hours}[/tex]

WILL MARK BRAINLIEST!!!!

Answers

the answer is a 4.33......

no english yo no se que es 1mas 1

Answers

Answer:

1 mas 1 en English es 1 plus 1

Answer:

si

Step-by-step explanation:

It takes 313131 employees and \$7500$7500dollar sign, 7500 to build a car, and it takes 191919 employees and \$4300$4300dollar sign, 4300 to build a motorcycle. Genghis Motors wants to spend more than \$84000$84000dollar sign, 84000 to build cars and motorbikes using at most 706706706 employees.

Answers

Complete question :

It takes 313131 employees and \$7500$7500dollar sign, 7500 to build a car, and it takes 191919 employees and \$4300$4300dollar sign, 4300 to build a motorcycle. Genghis Motors wants to spend more than \$84000$84000dollar sign, 84000 to build cars and motorbikes using at most 706706706 employees. Let CCC denote the number of cars they build and MMM the number of motorbikes they build. Write an inequality that represents the condition based on the number of employees. Write an inequality that represents the condition based on the number of dollars.

Answer:

31C + 19M ≤ 706

7500C + 4300M > 84000

Step-by-step explanation:

C = number of cars built

M = number of motorcycles built

Cost of building a car :

Cost = 31 + $7500

Cost of building a motorcycle,:

Cost = 19 + 4300

To build, C cars :

Number of employees = 31C

7500 * C = 7500C

To build, M motorcycles :

Number of employees = 19M

4300 * M = 4300M

Genghis budget :

Amount > 84000

Number of employees ≤ 706

Hence, the constraints

31C + 19M ≤ 706

7500C + 4300M > 84000

How is 4,9 and 4,-9 different

Answers

Answer:

They are different because they have different signs

Step-by-step explanation:

In 4,9 both values are positive whereas in 4,-9 the 9 is negative and the 4 is positive.

Evaluate the algebraic expression when f+g f = 6, g = 8, h = 12 and j = 2.
A. 6 ------
B. 7 j
C. 14
D. 28

Answers

Answer:

the answer is 7 j

Step-by-step explanation:

b

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