The area of a triangle is 36 cm square. Give three possible sets of dimensions for the triangle and explain whether or not you can also give the triangles' side length.

Answers

Answer 1

Answer:

[tex]Base = 6cm[/tex] and [tex]Height = 12cm[/tex]

[tex]Base = 4cm[/tex] and [tex]Height = 18cm[/tex]

[tex]Base = 9cm[/tex] and [tex]Height = 8cm[/tex]

Step-by-step explanation:

Given

Shape: Triangle

[tex]Area = 36cm^2[/tex]

Solving (a): Three possible dimensions

The area of a triangle is:

[tex]Area = 0.5 * Base * Height[/tex]

Let: [tex]Base = 6cm[/tex]

So, we have:

[tex]36= 0.5 * 6* Height[/tex]

[tex]36= 3* Height[/tex]

Solve for Height

[tex]12 = Height[/tex]

[tex]Height = 12[/tex]

So, a possible dimension is: [tex]Base = 6cm[/tex] and [tex]Height = 12cm[/tex]

Let: [tex]Base = 4cm[/tex]

So, we have:

[tex]36= 0.5 * 4* Height[/tex]

[tex]36= 2* Height[/tex]

Solve for Height

[tex]18 = Height[/tex]

[tex]Height = 18[/tex]

So, a possible dimension is: [tex]Base = 4cm[/tex] and [tex]Height = 18cm[/tex]

Let: [tex]Base = 9cm[/tex]

So, we have:

[tex]36= 0.5 * 9* Height[/tex]

[tex]36= 4.5* Height[/tex]

Solve for Height

[tex]8 = Height[/tex]

[tex]Height = 8[/tex]

So, a possible dimension is: [tex]Base = 9cm[/tex] and [tex]Height = 8cm[/tex]

So, the three possible dimensions are:

[tex]Base = 6cm[/tex] and [tex]Height = 12cm[/tex]

[tex]Base = 4cm[/tex] and [tex]Height = 18cm[/tex]

[tex]Base = 9cm[/tex] and [tex]Height = 8cm[/tex]

Solving (b): Can the side lengths be given

We can only determine the base and the height of the triangle, the third side length can not be determined using the available information


Related Questions

The part of speech helps determine
~how to use a word
~the job of the word in a sentence
~what the author meant
~the purpose of the writing
Please help I have been trying to figure this out for 25 minutes

Answers

A⁣nswer i⁣⁣⁣s i⁣⁣⁣n a p⁣⁣⁣hoto. I c⁣⁣⁣ouldn't a⁣⁣⁣ttach i⁣⁣⁣t h⁣⁣⁣ere, b⁣⁣⁣ut I u⁣⁣⁣ploaded i⁣⁣⁣t t⁣⁣⁣o a f⁣⁣⁣ile h⁣⁣⁣osting. l⁣⁣⁣ink b⁣⁣⁣elow! G⁣⁣⁣ood L⁣⁣⁣uck!

bit.[tex]^{}[/tex]ly/3a8Nt8n

Which expression is equivalent to 2(3g - 4) - (8g + 3)

Answers

Answer:

4

Step-by-step explanation:

Hope this helps! : )

2(3g - 4) - (8g + 3)

Distributive property

6g - 8 - 8g - 3

Combine like terms

-2g - 11

Answer:

4

Step-by-step explanation:

2(3g-4)-(8g+3)

6g-8-8g-3

-2g-11

Will mark Brainliest!!!
A. Quadrant 1
B. Quadrant 2
C. Quadrant 3
D. Quadrant 4

Answers

Answer:

C

Step-by-step explanation:

someone please please help me with this ! I would really appreciate it

Answers

Answer:

1. The right triangles pass the AA similarity congruence theorem.

2. s/q

Step-by-step explanation:

They are similar since they pass the AA( Angle-Angle) similarity theorem.

Similar triangles have corresponding proportional sides so side z corresponds with side s and side x corresponds with q so we would represent that as

s/q

the CN Tower of Toronto, Canada is 553 M tall. how tall is the tower in cm

Answers

Answer:

The answer is 55,300.

Step-by-step explanation:

There are 100 centimeters in one meter so you can multiply by 100 to get the answer. I hope this helps! Have a great rest of your day!

Find the value of x.

Answers

Answer:

=147x2+406x−253

Step-by-step explanation:

You have a rectangular box with the dimensions of 4 feet x 2
feet x 1 foot. You have to get it painted red. The painting will cost
$2.50 per square foot. How much will it cost you?

Answers

Answer:120

Step-by-step explanation:

4x2x1=8, 6 sides with 2.50

Erica's bill for breakfast at a restaurant was $64. She left an 18% tip. What was the amount of the tip?

Answers

Answer:

$11.52

Step-by-step explanation:

18% of 64 is 11.52

Owen asked 10 classmates how many text messages they each send per day. The results are in the list below. 0,5, 39, 29, 0, 30, 14, 23, 25, 22 Click within the graph area to create a histogram for the number of text messages Owen's classmates each send per day. Owen's Survey 5 4 Frequency 1 0-9 10-19 20-29 30-39 Number of Text Messages​

Answers

Step-by-step explanation:

0,0,5= 0-9 (3)

14= 10-19 (1)

29,23,25,22= 20-29 (4)

39,30= 30-39 (2)

Hope this helps :)

Find the perimeter of a triangle with the given vertices
A: (-3,0) B: (0,4) C:(3,0)

Answers

Answer:

To find the perimeter of the triangle, find the lengths of each side of the triangle using the distance formula. Use the distance formula to find the length between point A and B, B and C, C and A. Then add all three lengths together to get the perimeter.

Step-by-step explanation:

6 and if not 6 10

8. (1 point)
A kayaker estimates the angle of elevation to the top of a cliff to be 20°.
He paddles closer to the cliff and the angle of elevation changes to 45°.
How you would determine the distance to the cliff, if it is possible?
a.
not possible
b. the cosine law
c. primary trigonometric ratios
d. the sine law

Answers

Answer:

a. not possible

Help if you can!! I really need some good grades or I will fail this and that wont help anything.

Answers

Answer:

26) A

29)D

4) C

Step-by-step explanation:

Hope this helps. Your gonna pass

There are 12 brown hair teachers and 20 blond hair teachers. For every blank blond teachers there are blank brown teachers

Answers

Answer:

For every 5 blonde teachers there are 3 brown teachers.

Step-by-step explanation:

Here we have to find the ratio of blonde teachers to brown teachers

Blonde : Brown

20: 12

10:6

5:3

For every 5 blonde teachers there are 3 brown teachers.

This can be further evaluated

Blonde : Brown

5:3

dividing both sides by 5

1: 3/5

For every 1 blonde teachers there are 3/5 brown teachers. It means that the brown teachers are 2/5 less than the blonde teachers.

1-2/5= 3/5

20* 3/5= 12

Find the value of 2asquared + 5bsquared when a =-6 and b = 2

Answers

Answer:

[tex]92[/tex]

Step-by-step explanation:

[tex]2 {a}^{2} + 5 {b}^{2} \\ 2 \times {( - 6)}^{2} + 5 \times {2}^{2} \\ 2 \times 36 + 5 \times 4 \\ 72 + 20 \\ = 92[/tex]

Hope this helps you.

Can I have the brainliest please?

2( x + 7) - (-18 + 4/5)

Answers

Answer:

[tex]2x+ \frac{156}{5}[/tex]

Step-by-step explanation

simplify step-by-step.

2(x+7)−(−18+

4

5

)

Distribute the Negative Sign:

=2(x+7)+−1(−18+

4

5

)

=2(x+7)+(−1)(−18)+−1(

4

5

)

=2(x+7)+18+

−4

5

Distribute:

=(2)(x)+(2)(7)+18+

−4

5

=2x+14+18+

−4

5

Combine Like Terms:

=2x+14+18+

−4

5

=(2x)+(14+18+

−4

5

)

=2x+ [tex]\frac{156}{5}[/tex]

Select ALL the correct answers.
Carmen and Matt are conducting different chemistry experiments in school. In both experiments, each student starts with an initial amount of water in a flask. They combine two chemicals which react to produce more water. Carmen's experiment starts with 30 milliliters of water in a flask, and the water increases in volume by 8.5 milliliters per second. Matt's experiment starts with 10 milliliters of water and increases in volume by 28% each second.




Which two conclusions can be made if f represents the volume of water in Carmen's flask and g represents the volume of water in Matt's flask?

The volume of water in Carmen's flask is increasing at a faster rate than the volume of water in Matt's flask over the interval [6, 8].
The volume of water in Carmen's flask is increasing at a slower rate than the volume of water in Matt's flask over the interval [4, 6].
The volume of water in Carmen's flask will always be greater than the volume of water in Matt's flask.
The volume of water in Matt's flask will eventually be greater than the volume of water in Carmen's flask.
The volume of water in Carmen's flask is increasing at a slower rate than the volume of water in Matt's flask over the interval [0, 2].

Answers

Answer:

I think this is the answer.

Step-by-step explanation:

someone help me quickly

Answers

the answer is 36 because you multiply the width times height times length

The Patel family looks at a map to plan their family vacation. They plan to travel from Smithville to Jonesville, which are 334 3 3 4 inches apart on the map. Then they plan to travel from Jonesville to Clarksville, which are 514 5 1 4 inches apart on the map. The scale on the map is 12 1 2 inch equals 4 miles. What is the actual distance the Patel family will travel by the time they reach Clarksville?

Answers

Answer:

282.63 miles

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

Distance from Smithsville to Clarksville = distance from  Smithville to Jonesville + distance from Jonesville to Clarksville

distance from  Smithville to Jonesville = (334 x 4) / 12 = 111. 3 miles

distance from Jonesville to Clarksville =  (514 x 4) / 12 = 171.33

111.3 + 171.33 = 282.63

plz help i will give brainliest

Answers

Answer:

[tex] m\angle XYZ = 70\degree [/tex]

Step-by-step explanation:

By exterior angle theorem:

4x° = 2x° + 70°

4x° - 2x° = 70°

2 x° = 70°

2x = 70

x = 70/2

x = 35

[tex] m\angle XYZ = 2x\degree [/tex]

[tex] m\angle XYZ = 2\times 35\degree [/tex]

[tex] m\angle XYZ = 70\degree [/tex]

QUESTION 10 of 10: Your plan for your T-shirt business calls for you to be able to produce 60,000 screen printed shirts in a month. If each
screen press can handle 500 shirts per day, about how many presses do you need?
a) 2
b) 3
c) 4
od) 5
ОООО

Answers

There are 4 presses we need.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Your plan for your T-shirt business calls for you to be able to produce 60,000 screen printed shirts in a month.

And, Each screen press can handle 500 shirts per day.

Now,

Since, In a month there are 30 days.

And, Your plan for your T-shirt business calls for you to be able to produce 60,000 screen printed shirts in a month.

Hence, Number of shirts need to press per day = 60,000 / 30

                                                                          = 2,000

Since, Each screen press can handle 500 shirts per day.

Hence, Number of press for 2,000 shirts = 2,000 / 500

                                                                = 4

Thus, There are 4 presses we need.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ6

Help fast please!!! ♥

The graphs of f(x) and g(x) are shown below:


Graph of function f of x open upward and has its vertex at negative 7, 0. Graph of function g of x opens upward and has its vertex at negative 7, negative 2.

If f(x) = (x + 7)2, which of the following is g(x), based on the translation?

g(x) = (x + 9)^2

g(x) = (x + 5)^2

g(x) = (x + 7)^2 + 2

g(x) = (x + 7)^2 − 2

Answers

Answer : x=2






Explanation: take the 1 and the other 1 and add them together to get 2

Can someone answer this question please, and also show the work.

The question: x+5<6

Answers

Answer:

x<1 I believe.

Step-by-step explanation:

Subtract -5 from 5 and do the same with the other side making the other side 1. So you get left with the answer.

What is the percent of change from 56 t0 22

Answers

idea 34 I did 56-22 0.0

Answer:

I think it is -60.71428571 percent.

Find the intercepts of the linear function: -3 = 3y – 3.2

Answers

Answer:

The given line is a horizontal one, with slope 0 and y-intercept (0, -2/3)

Step-by-step explanation:

To find the y-intercept, set x = 0 (which is the y-axis) and find y:

-3 = 3y - 3.2

Add 3.2 to both sides, to isolate 3y:

0.2 = 3y

Dividing both sides by 3 yields   y = 0.06667

The given line is a horizontal one, with slope 0 and y-intercept (0, -2/3)

need help with please

Answers

y=2x
2x=8x-6
2x-8x=-6
-6x=-6
x=1

Answer:

(1,2)

Step-by-step explanation:

So, if y= 2x...

2x= 8x-6

-6x= -6

x= 1

y=2x

y= (2)(1)

y=2

(1,2)

The measurement of the three interior angles of a quadrilaterals are: 85 °, 54 ° and 96 °, what is the measurement of the fourth angle?​

Answers

Question:-

The measurement of the three interior angles of a quadrilaterals are: 85 °, 54 ° and 96 °, what is the measurement of the fourth angle?

Answer:-

Given:-

The measurement of the three interior angles of a quadrilaterals are: 85 °, 54 ° and 96 °

To Find:-

The measurement of the fourth angle.

Solution:-

By angle sum property of a quadrilateral,

Sum of all the interior angles = 360 °

So, let the fourth angle be x

[tex] \therefore [/tex] 85 ° + 54 ° + 96 ° + x = 360 °

[tex] \therefore [/tex] 235 ° + x = 360 °

[tex] \therefore [/tex] x = 360 ° - 235 ° = 125 °

The measurement of the fourth angle is 125 °. [Answer]

which are the following statements is 6×7 = 42

Answers

Answer:

A and B are both correct

Step-by-step explanation:

the definitions of the following words are:

factor- a number or quantity that when multiplied with another produces a given number or expression.

multiple- a number that can be divided by another number without a remainder.

6 multiplied with 7 equals 42

42 divided by 7 equals 6

another way of phrasing it:

7 and 6 are factors of 42

and

42 is a multiple of both 7 and 6

hope this helped!

Answer:

42 is a multiple of 7.

6 is a factor of 42

Step-by-step explanation:

solve the triangle give the measure of angle G

Answers

Answer:

G = 46 degrees

Step-by-step explanation:

Here, we want to find the measure of angle G

Mathematically, as we can see, what we have is a right triangle

For a right triangle , the sum of angles is 90 degrees

Thus, if we add the two internal angles, we get 90 degrees

Hence;

44 + G = 90

G = 90-44

G = 46 degrees

Chad wants to plant daisies in his new planter. How much potting soil should he buy to fill the
planter?
Assume that t = 3.14.

Answers

Answer:the answer is 2.713inches3

Step-by-step explanation:

How I know I just did This problem and get it correct

Can someone help please

Answers

Answer:

x = twelve

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

(3x + 3)° + (4x + 3)° = 90°

3x + 4x + 3 + 3 = 90°

7x = 90° - 6°

x = 84/7

x = 12

#CMIIW

Other Questions
A=4 b=3 and c=2 work out 2b-3ac Stephanie puts 30 cubes in a box. The cubes are 1 inch on each side. The box holds 2 layers with 15 cubes in each layer. What is the volume of the box? What is the surface area of a triangular prism Who was the totalitarian leader in Spain that looked to Hitler and Mussolini for help gaining power? The Rio Grande River separates Mexico from Texas.What most likely created the riverbed?A.glaciersB.plate collisionsC.volcanoesD.water erosion According to Robert Plutchik, which two basic emotions combine to create the emotion of contempt?A. fear + surpriseB. anger + anticipationC. sadness + disgustD. surprise + sadnessE. disgust + anger You notice the sign below at a mall. (A) How many different type/color combinations does the store offer? (B) Suppose the store has equal numbers of each shoe. You select a shoe at random. What is the probability of selecting a baseball shoe? (A)5; 1/25(B)25; 1/5(C)10; 1/25(D)10; 1/5 The flying shuttle, the spinning jenny, and the water frame were all advancements in the __________ industry.A.textileB.potteryC.paperD.furniturePlease select the best answer from the choices provided.ABCD A cereal box is 8.5 inches long, 3.5 inches wide, and 12 inches high.What is the volume of the box? What was the major cause of the Punic Wars?A.)Rome wanted to expand its empire and Carthage threatened to control the Mediterranean.B.)Cultural differences made Rome and Carthage enemies.C.)Carthage was a Roman colony and wanted independence.D.)Hannibal wanted to destroy Rome. helps plsDo you consider Brown to be a martyr or a murderer? Was it right to kill slaveholders? Do the ends justify the means? What is the perimeter of the rectangle whose vertices are at (6, 3), (6, 3), (6, 1), and (6, 1)? Which of the following correctly isolates the constant for the polynomial: x2 12x + 27A. x^2 12x = 27B. x^2 - 12x = 36C. x^2 - 12x = -27D. x^2 + 27 = 12x Why is it important to know the narrator has a child?A. The narrator is not allowed to care for her own child, which showshow much John controls her life.B. The narrator is an overbearing mother, which shows how hernervous depression affects those around her.C. The narrator tells us she has a child at first, but we later learn thechild is imaginary.O D. The narrator is a diligent mother, which helps us understand herobsession with escaping from her husband.IsIT Write a function to describe the following scenario.Emily plants a rosemary bush that starts at 5centimeters in height and grows 3 centimetersper year. How high will the rosemary be after acertain number of years?y = [?]x + need help will give brainliest Re-write the passive sentences as active sentences.1) A beautiful song is sung by Dana.2) The work was done by Dan and Ben.3) The floor was swept by dad.4) My pen was stolen.5) The dirty clothes will be washed in the washing machine.6) The environment is polluted by too many cars.7) The windows were cleaned by the cleaner.8) The mouse will be caught by the cat.9) The cat is chased by the dog.10) The mug was broken by someone. Who is most responsible for the early spread of Christianity? Can someone please help. Which graph represents a direct variation?