Two similar triangles have a pair of corresponding sides of length 12 meters and 8 meters.
The larger triangle has a perimeter of 48 meters and an area of 180 square meters. Find the
perimeter and area of the smaller triangle.

Answers

Answer 1

Answer:

32 m, 80 m^2

Step-by-step explanation:

Ratio of their sides = 12 : 8 = 3 : 2

Ratio of their perimeter = 3 : 2

so 48 : perimeter of smaller triangle = 3 : 2

Perimeter of smaller triangle = 48 * 2 / 3 = 32 m

Ratio of their areas = 3^2 : 2^2 = 9 : 4

so 180 : area of smaller triangle = 9 : 4

Area of smaller triangle = 180 * 4 / 9 = 80 m^2


Related Questions

Find the area of each triangle. Round your answer to the nearest tenth.

Answers

Answer:44 is closest to the nearest tenth if not try 35

Step-by-step explanation:35 Heather farm so it just needs five and it will get to 10 because it goes 30 31 32 33 34 35

help me fo it its for me homework​

Answers

Answer:

6

i started with 9 and counted up untell i got to 15

Add 15 to whatever q is.

What is an equation of the line that passes through the points (4,-8) and (-4,2)

Answers

Answer:

-1.25

Step-by-step explanation:

Equation: y = -1.25x - 3.

The diameter of Leta's coffee cup is 3 inches. What is the circumference? Show your work.

Answers

Answer:

Rounded answer: 9.4 in

Step-by-step explanation:

Circumference: 2 times radius times pi

Or in this case: Diameter times pi

Therefore, 3 times pi

= 9.4247779607694

Or if rounded

= 9.4

some one plsssss help me :)

Answers

Answer:

1.6 < x < 9.6

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

5.6 - 4 < x < 5.6 + 4

1.6 < x < 9.6

In ΔWXY, the measure of ∠Y=90°, XW = 61, WY = 60, and YX = 11. What ratio represents the sine of ∠W?

Answers

Answer:

11/61

Step-by-step explanation:

from trigonometry ratio sin w= Opp/hyp

opp = 11

hyp =61

therefore sin w =11/61

What percentage of the apples are green?

Answers

Answer:

6 of the 30 apples are green

6 / 30 = .2

So 20% of the apples are green.

Percentage of the apples are green is 20%

What is a percentage?

"A Percentage is a number or ratio that represents a fraction of 100. It is often denoted by the symbol %".

According to the question

Total Apples = 30

Red Apples = 24

Green Apples = 6

Percentage of the apples are green = [tex]\frac{6}{30}[/tex]×[tex]100[/tex]

= [tex]20[/tex] % or [tex]0.2[/tex]

∴ Percentage of the apples are green is 20%.

Learn more about percentage here

https://brainly.com/question/16797504

#SPJ2

Which expression is equivalent to 2 + 0.22? A. 1.27 B. 0.272 C. 0.21 D. 1.02 ​

Answers

Answer:

2.22

Step-by-step explanation:

2 + 0.22

2.22

None of them are equivalent to 2 + 0.22.

[tex]\\ \tt\hookrightarrow 2+0.22[/tex]

[tex]\\ \tt\hookrightarrow 2+22/100[/tex]

[tex]\\ \tt\hookrightarrow 200+22/100[/tex]

[tex]\\ \tt\hookrightarrow 222/100[/tex]

[tex]\\ \tt\hookrightarrow 2.22[/tex]

3 pts
Question 1
You find a crystal in the shape of a prism. Find the volume of the crystal.
The point Bis directly underneath point E, and the following lengths are known:
• From A to B: 2 mm
• From B to C:3 mm
. From A to F: 6 mm
• From B to E: 10 mm
. From C to D: 7 mm
• From A to G: 4 mm
G
А
B
What is the area of the base? ( 1 point) Explain or show your reasoning. (2 points)

Answers

The Volume of crystals is 160 mm³ while the area of the base is 20 mm².

Volume

Volume is the amount of space occupied by a three dimensional shape or object.

Area of triangle = (1/2) * DF * height

Height = 10 - 6 = 4 mm, DF = AC = AB + BC = 2 + 3 = 5 mm

Area of triangle = (1/2) * 5 * 4 = 10 mm²

Volume of triangle prism = Area of triangle * AG = 10 * 4 = 40 mm³

Volume of rectangular prism = A to F * AC * AG = 6 * 5 * 4 = 120 mm³

Volume of crystals = 120 + 40 = 160 mm³

Area of base = AC * AG = 5 * 4 = 20 mm²

The Volume of crystals is 160 mm³ while the area of the base is 20 mm².

Find out more on Volume at: https://brainly.com/question/1972490


Volume of 8 and the product of 5 and q increased by 6 yeilds
88

Answers

Answer:

It could be either of two ways:

8

x

+

10

or

8

(

x

+

10

)

Explanation:

The wording is a little unclear because this could be done in two ways:

8

x

+

10

or

8

(

x

+

10

)

The first one is "the product of 8 and a number, increased by 10"

The second is "the product of 8, and a number increased by 10"

The one you might write depends on how you say the statement!

In either case, when you read the phrase "a number" in algebra, you make this the variable - whatever letter you prefer (does not have to be

x

!)

Step-by-step explanation:

The verbal statement of the given algebraic expression gives us; 5(q + 6) = 88

How to write Algebraic expressions?

Now, we are told that the product of 5 and q increased by 6 yields 88. Thus, the expression gives us;

5(q + 6) = 88

Therefore we can conclude and say that the verbal statement of the algebraic expression gives us;

5(q + 6) = 88

Read more about Algebra at; https://brainly.com/question/723406

Question 6 of 10
What is the most logical first step in solving the equation x2 +6x+9 - 10?
A Factor the left side of the equation
B. Subtract 10 from both sides of the equation
C. Take the square root of both sides of the equation
D. Subtract 9 from both sides of the equation
SUBMIT

Answers

Answer:

A.factor the left side of the equation

sorry but to tell u the answer, I need to know this

is there an equal sign between 9 and 10 or it's just a minus sign?

I mean if it is a minus sign the first thing to do to solve the equation is 9-10 which gives you -1. but if there is an equal sign the first step is to subtract 10 from both sides of the equation which means your answer will be option B.

WILL MARK BRAINLIST AND FOLLOW
8. Read the following double bar graphs and answer the questions.


a. How many Mango ice-creams were sold by Shop A?

b. Which flavor of ice-cream do people like most in shop A?

C. Find the total numbers of Chocolate ice-creams sold by shop A and shop B.

d. Which shop sold 30 coconut ice-creams?

e. Which flavor of ice-cream do people like the most in shop B? Chocolate or Vanilla?

f. Find the total numbers of ice-creams sold by shop B?

g. How many Vanilla ice-creams were sold by Shop A?

h. Which flavor of ice-creams were sold more in shop A than shop B?​

Answers

Answer:

a) 100

b) Mango

c) Shop A = 90 and Shop B= 80

d) Shop B

e) chocolate

f) 330 ice-creams

g) 30

h) Mango

Your welcome~

help me with geometry please

Answers

Answer:

80°

Step-by-step explanation:

the triangles are symmetrical. therefore their angles will be equal.

interior angles of a triangle = 180°

180° - 30° - 70° = m<D

80° = m<D

Find the product. Write your answer as a mixed number in simplest form 3 x 4 7/9

Answers

Answer:

14 1/3

Step-by-step explanation:

3 × 4 7/9

=3 × 43/9

= 43/3

= 14 1/3

Answer:

43/3

Simply 14⅓

Step-by-step explanation:

4 7/9 can also be expressed as (4x9+7)/9 = 43/9

3x43/9 = 43/3

After simplifying = 14⅓

Please just answer 14

Answers

Answer:

1072

Step-by-step explanation:

the angle is 108, so x10 then minus 8. when theres a letter next to the number it means to multiply it, so get the answer; then multiply it. example:
right angle 10x so 90x10. 900. hope this helps!

Find the area of the shaded area. Round your answer to the nearest tenth

Answers

Answer:

45π

Step-by-step explanation:

To find the area of a circle the formula is πr².

To find the shaded region we will subtract the area of the small circle from the area of the big circle.

Area(big circle)=π9²=81π

Area(small circle)=π6²=36π

81π-36π= 45π

Solve the following quadratic equations using the quadratic formula and select the correct solution set.

5x2+2x-4=0

Thank you!

Answers

Answer:

x1= -(1-√(21))/5

x2= -(1-√(21))/5

Step-by-step explanation:

5x²+2x-4=0

D=2^2-4*(-4)*5=4+80=84

x1,2 = (-2±√(84))/10

x1= (-2+√(84))/10 = (-2+√(4*21))/10 = (-2+2√(21))/10 = (-2(1-√(21))/10   =               -(1-√(21))/5

x2=(-2-2√(21))/10 = -2(1+√(21)/10=-(1+√(21))/5

Answer: x1= -(1-√(21))/5,

              x2= -(1-√(21))/5,

what's one million and eighty in figures​

Answers

Is this what you mean 1 000 080?

Answer:

Step-by-step explanation:

Write 1 million first 1 , 000 , 000

Now add the 80                    80

Total                       1,000,080

It's always a good idea to break a problem down into smaller parts. It's easier to handle that way.                              

The jazz band has 3 members. To raise money for a tour, each member sold r raffle tickets. Choose the expression that shows the number of raffle tickets sold.

Answers

Answer:

s = 3*r

Step-by-step explanation:

sold = 3(people) * r(raffle tickets)

A scale drawing of a rectangular park is 7 inches wide and 9 inches long. The actual park
is 392 yards long. What is the area of the actual park, in square yards?

PLEASE HELP ME

Answers

Answer:

56000 square yards

Step-by-step explanation:

I hope it helps you!!!


What is the slope of the line?
3(y - 1) = 2x + 2


Answers

Rewrite the equation in slope- intercept form.


3(y-1) = 2x + 2

Use the distributive property

3y-3 = 2x + 2

Add 3 to both sides

3y = 2x + 5

Divide both sides by 3

Y = 2/3x + 5/3


Slope = 2/3

the slope is 2/3

i hope this helps :)

Simplify this expression
-4 - 10x

Answers

The answer is -2(5x+2)

what is the hypotenuse?
225cm
55°
390cm
165cm
165cm
please help meeeee i neeeed it quickkkk with the calculations

Answers

Answer:

390cm

Step-by-step explanation:

find the value of x please help

Answers

Answer:

x=37

Step-by-step explanation:

Area of triangle = x+x+x=180
= 78+65+x=180
=143+x=180
=x=180-143 (bring 143 to the otherside)
x=37

In the given figure, We are to find the respective value of x .

Solution :

We know that,

Sum of all the angles of the triangle = 180°

So,

[tex] \qquad \sf \dashrightarrow{ x {}^{ \circ} + 65 ^{ \circ} +78 ^{ \circ} = 180}[/tex]

[tex] \qquad \sf \dashrightarrow{ x ^{ \circ} + 143^{ \circ} = 180^{ \circ}}[/tex]

[tex] \qquad \sf \dashrightarrow{ x ^{ \circ} = 180^{ \circ}} - 143^{ \circ}[/tex]

[tex] \qquad \bf \dashrightarrow{ x ^{ \circ} = 37^{ \circ}}[/tex]

Therefore, The value of x is 37°

Simon used these steps to solve an equation:

Step 1: -6(x + 7) = 2(x − 11)

Step 2: -6x − 42 = 2x − 22

Step 3: -8x − 42 = -22

Step 4: -8x = 20

Answers

X= -5/2 divide both sides by -8 to get x and you get -5/2

Is it possible to have a polygon with an exterior angle of 14 degrees

Answers

Answer:

No, a polygon cannot have a decimal number of sides.

Explanation:

exterior angle of a polygon = 360 ÷ number of sides

using the formula:

14 = 360 ÷ number of sides

1/number of sides = 14/360

number of sides = 360/14    

number of sides = 25.71428571    

Answer:

all polygons have exterior angles that totL to 360 degrees from triangles to 20-gons. so 360 divided by 14 is 25.71 sides which is not possible because what would .71 of a side look like....now this is assuming that you were referring to regular polygon with all sides the same. I suppose you could gave a polygon with a whole number of sides but the relationship between the exterior angles could be such that not all of the angles have the same degree measure. I would say that an exterior angle for any polygon would need to be greater than 0 but less than 360. so my answer is yes it could be possible le

find the slope of the line,
Please Help i am confused

Answers

Answer:

Slope = -1

Step-by-step explanation:

We will use 2 points from the graph.\

(0 , 2) and (2 , 0)

formula for slope = y2 - y1/x2 - x1

0 - 2/2 - 0

=-2/2

=-1

i need helps with this question ASAP

Answers

Answer:

1. At Kohls Mrs. House would pay $45.00 because %25 = $15 so I just subtracted %.60.00-$15.00.

2.((Number × Percent/100)) + Number

((38 × 15/100)) + 38

5.7 + 38

= 43.7

3. I say that Mrs. House should go-to target. And just by $1.30.

At Kohls, the speaker would be at $45.00.

At target, the speaker would be at $43.70.

$45.00 - $43.70 = $1.30

Step-by-step explanation:

If anyone minds, can someone answer this and show your work pls.

Answers

Answer:

Step-by-step explanation:

y= -5x _

y=-7x-14

—————— (y-y=-5x-(-7x)-14)....

0=-2x-14 => x=-7 => y=-5*(-7)=35

Answer: x = -7 and y = 35

Step-by-step explanation: STEPS USING SUBSTITUTION

y= -5x

y= - 7x - 14

consider the first equation. Add 5x to both sides.

y + 5x = 0

consider the second equation. Add 7x to both sides

y + 7x = -14

to solve a pair of equations using substitution, first solves one of the equations for one of the variables then substitute the result for that variable in the other equation. and so goes on

1) −6k + 7k 2) 12r − 8 − 12 3) n − 10 + 9n − 3 4) −4x − 10x

Answers

Step-by-step explanation:

I assume we are simplifying

1) -6k+7k = k

2) 12r-8-12 = 12r-20

3) n-10+9n-3 = 10n-13

4) -4x-10x = -14x

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