9. A triangle has sides whose lengths are 5, 12, and 13. A similar triangle could have sides with lengths
of ? Give side lengths of two different similar triangle.

Answers

Answer 1

Answer:

One similar triangle: 15, 36 and 39

Another similar triangle: 10, 24, 26

Step-by-step explanation:

When a triangle is similar, it has corresponding sides that are each longer are shorter than the original triangle by a scale factor.

Scale factor

A scale factor is a number that you multiply the original triangle's sides by. After multiplying each original side, you get the side lengths of a new and similar triangle.

The original sides from the question are 5, 12 and 13.

First similar triangle

Let's pick 3 to be a scale factor.

Multiply every original side by the scale factor to get the side lengths of a similar triangle.

5 × 3 = 15

12 × 3 = 36

13 × 3  = 39

∴ One similar triangle can have the sides 15, 36 and 39.

Second similar triangle

Let's pick another scale factor: 2

Now, we do the same. Multiply the original sides by the scale factor.

5 × 2 = 10

12 × 2 = 24

13 × 2  = 26

∴ Another similar triangle can have the sides 10, 24 and 26.

Choosing a scale factor

We can pick almost any number to be a scale factor. If we pick a scale factor that is:

greater than 1, then the similar triangle will be larger.a fraction, then the similar triangle will be smaller.

We can make an infinite amount of other similar triangles just by changing the scale factor.


Related Questions


An object is fired from a cannon. Its height after t seconds is given by the function
h(t)= 16t² + 128t + 140 feet. How high was the object after 2 seconds?
=
The object was
feet high.

Answers

Answer:

332 feet

Step-by-step explanation:

Height = h(2) = - 16(2^2) + 128t + 140   ( NOTE: I added the minus sign)

                      = 332 feet

The maximum height  is 908 feet.For a parabola, h = ax^2 + bx + c, the vertex at point (h,t), is first found by the equation t = b / 2a, and then plugging that point into the equation to find h.

What is more about the problem?

For a parabola, h = ax^2 + bx + c, the vertex at point (h,k), is first found by the equation t = b / 2a, and then plugging that point into the equation to find h.

Given the equation h = 16t^2 + 128t + 140, we know a = 16, b = 128, c = 140.

t = -b/2a

t = -(128) / 2(16)

t = -128 / 32

t = 4 seconds

let's plug in t=4 to our equation:

h = 16t^2 + 128t + 140

h = 16*(4)^2 + 128*(4)+ 140

h =  908ft

h = 908 feet

answer is that the maximum height  is 908 feet.

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8. Use the​ compound-interest formula to find the account balance​ A, where P is​ principal, r is interest​ rate, n is number of compounding periods per​ year, t is​ time, in​ years, and A is account balance.

Answers

Answer:

Step-by-step explanation:

[tex]P = 56,150(1 + \frac{0.095}{4})^{ 4(2.5)[/tex]

≈ $71005

O
1) Complete the square to determine the maximum or minimum value of the function defined by the expression.
x² - 2x-5
A) minimum value at 1
B) minimum value at -6
C) minimum value at -1
D) maximum value at -6

Answers

the answer is B it’s because it have the same

20 ÷ (5x2/5) + 3 help please​

Answers

Answer:

13

Step-by-step explanation:

hey take a deep breath! you got this!

it's really simple if you use the format PEMDAS

P- parentheses

E-exponents

M-Muliplication

D-divison

A-addition

S-subtraction

or mostly used

P

E

M or D

A or S

(depends from which side just start Ex 2-1+8 you wouldn't do the plus first but the subtraction because we're going left to right. If it's 2x8-6+10 then we do multiplication first cause that step comes first, the minus then addition! hope that isn't to confusing!)

ok so our equation is 20÷(5x2/5)+3

whats our first step? remember PEMDAS!

Its Parenthesis! so first we do the equation (5x2/5)

since multiplication and division are in the same "category" we go left to right

so first we do 5x2=10 and then we do 10/5 which is equal to 2!

ok now we add back the rest of our equation!

20÷2+3 since we already solved the Parenthesis

now what come first? division or addition?

its division because.. once again... PEMDAS!!

So now we do 20÷2 which is equal to 10!

now whats left is to add 3!

and 10+3 is equal to .... 13!!!

I know it seems like a lot but you'll get the hang of it! just take it easy and take your time :)

K/2 =9
what is the step by step?

Answers

Answer: k=18

Step-by-step explanation:

1) Multiply all terms by the same value to eliminate fraction denominators: 2•k/2=2•9

2) Cancel multiplies terms that are in the denominator: k=2•9

3) Multiply the numbers: k=18

4) Get the solution

Use the exchange rate £1 = €1.11 to convert €222 into £.

Answers

the answer is £200, if you divide 222 by 1.11 it gives you 200

Solve for x and find the length of GH (show work)

Answers

Answer:

A. How are GH and GI related?

They are tangents.

B. Write an equation to solve for x.

GH = GI

C. Let's solve the equation...

GH : 2x

GI : x + 12

2x = x + 122x - x = 12x = 12

D. Now, that we solve for x, let's find the length of GH....

GH = 2x where, x = 12

2(12)24

Therefore, the length of GH is 24.

A parking garage charges $2.00 for the first hour and $0.80 for each additional hour. Which of the following could be used to find C, the cost in dollars of parking h hours?

Answers

Answer:

C = 2(h - 1) + 0.80

Which is the
slope-intercept form of the equation of the line with a slope
of -4 that passes through the point (-3, 1)?
Oy=-4x-11
Oy - 1 = -4(x + 3)
Oy+1 = 4(x-3)
y = 4x + 11

Answers

Answer:

y = -4x - 11

Step-by-step explanation:

This equation is in slope-intercept form.

y = mx + b

Slope-intercept form is a fill-in-the-blank shortcut to write an equation of a line. The m is the slope right beside the x (b is the y-intercept, but we don't even need that for this question) Only the first and last answers are in the correct format and only the first one has the right slope. You can also check it by putting (-3,1) into the equation. It checks! Graphing is a good check also.

16
20
Х
Solve for x.

Answers

Answer:

im assuming 24?

Step-by-step explanation:

bc 16 plus four is 20 so i did the same for 20 i like 96 % that this could be wrong

Sadie earns $11.25 per hour. Do her earnings vary inversely or directly with
her number of hours worked? Determine how many hours she worked in a
week if her earnings were $146.25.

Answers

Division is one of the four fundamental arithmetic operations. The number of hours Sadie worked to earn $146.25 is 13 hours.

What is Division?

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given Sadie earns $11.25 per hour. Therefore, it can be concluded that her earnings vary varies directly with the number of hours she worked.

The number of hours she worked to earn $146.25 is,

The Number of hours = ($146.25)/($11.25) = 13 hours

Hence, the number of hours Sadie worked to earn $146.25 is 13 hours.

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Anyone please help me this I can't solve so I need help.༎ຶ‿༎ຶ waaaaaahhhhhh​

Answers

This is your answer. I keep hope it will help you

which grade are you studying

A box of cereal has a volume of 144 inches squared. the height of the cereal box is 12 inches, and the depth is 2 inches. what is the width of the cereal box?

Answers

The value of the given cone with a volume of 144 has a width is 6 inches.

We have given that,

A box of cereal has a volume of 144 inches squared.

The height of the cereal box is 12 inches, and the depth is 2 inches.

The volume of cone = 144 inches squared.

height=12 inches

depth=2inches

What is the formula of the cube?

Area of a cube = V = L * W * H

L-length

W-width

H-height

We have to determine the width cereal box.

Plug the given values in the formula

V = L * W * H

144=2×12×width

Width=144/24

Width=6inches

Therefore the value of the width is 6 inches.

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If johnny had 609898 cupcakes and gave 2323 away how much would he have left

Answers

Answer:

607,575 cupcakes

Step-by-step explanation:

Highschool math? haha

609898 - 2323 =

607,575

the lengths of the side of a triangle are 8,10,12 is the triangle acute, right, or obtuse?

Answers

Answer:

acute triangle

Step-by-step explanation:

because (12)^2 = 144 while [tex]8^{2}[/tex] + [tex]10^{2}[/tex] = 164 which means the sum of it's smaller angles are greater than it's greatest angle so it's an acute triangle

Answer:

take the two smaller sides, call them a and b. call the longest side c.

if a^2 + b2 = c^2 you have a right triangle

if < c^2 it's acute

if > c^2 it's obtuse

in addition, if you can find a,b,c such that

a=b=c it's equilateral

a=b≠c it's isosceles

a≠b≠c it's scalene

plug in your numbers and make your choice.

Step-by-step explanation:

7.) Find the center and radius of a circle with the equation (x − 4)² + (y − 2)² = 100.

Answers

Answer:

Centre is (4,2) and radius is 10

Step-by-step explanation:

The circle equation is of form,

=> (x - a)² + (y - b)² = r²

where the centre is (a,b) and radius is 'r'.

You are planting a vegetable garden on a plot of land that is a sector of a circle, as shown below.
You want fencing along only the curved edge of the garden.
a. Use the figure to find the length of fencing you will need.
15 ft
75°
b. How much area will be available for planting?

Answers

Answer:

(a) 19.63 ft

(b) 147.26 ft^2

Step-by-step explanation:

(a) 75/360 degrees . 2 . pi . 15 = 19.63

(b) 75/360 degrees. pi . 15^2 = 147.26

Answer:

a) 19.63 ft (2 dp)

b) 147.26 ft² (2 dp)

Step-by-step explanation:

To find the length of the curved fence, use the formula for arc length of a circle.

To find the area of the vegetable garden, use the formula for area of a sector of a circle.

Formula

[tex]\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right)[/tex]

[tex]\textsf{Area of a sector}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]

[tex]\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in degrees)}[/tex]

Calculation

Given:

[tex]\theta[/tex] = 75°r = 15 ft

[tex]\begin{aligned}\implies \textsf{Arc length} &=2 \pi (15)\left(\dfrac{75^{\circ}}{360^{\circ}}\right)\\ & = 30 \pi \left(\dfrac{5}{24}\right)\\ & = \dfrac{25}{4} \pi \\ & = 19.63\: \sf ft\:(2\:dp)\end{aligned}[/tex]

[tex]\begin{aligned} \implies \textsf{Area of a sector}& =\left(\dfrac{75^{\circ}}{360^{\circ}}\right) \pi (15)^2\\& = \left(\dfrac{5}{24}\right)\pi \cdot 225\\& = \dfrac{375}{8} \pi\\& = 147.26\: \sf ft^2 \:(2\:dp)\end{aligned}[/tex]

At the beach, nardia collected triple the number of seashells that pierre did. together, they collected 52 seashells. which equations represents p, the number of seashells that pierre collected. 3 p p = 52 3 p = 52 52 p = 3 p 52 p = 3

Answers

The equation that represents p, the number of seashells that Pierre collected is 3p + p = 52

Writing a system of equation

From the question, we are to determine the equation which represents p

From the given information,

Nardia collected triple the number of seashells that Pierre did

If Pierre collected p number of seashells

Then,

Nardia collected 3p number of seashells

Also, from the given information,

They collected 52 seashells in total

That is,

3p + p = 52

Hence, the equation that represents p, the number of seashells that Pierre collected is 3p + p = 52.

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Please help this is for my younger sibling 70 points!!!
Part A: What fraction of the flips landed heads up, and what fraction landed tails up?

Heads up: ___________Tails up: _____________

Part B: What is the probability of the coin landing heads up on his next try?

Part C: Why didn’t Steve’s results match the probability of a coin landing heads up?

Answers

Heads is 6/10 and tails is 4/10

if answer needs to be simplified then heads is 3/5 and tails is 2/5

Heads: Fraction= 6/10 simplified=3/5 Percentage= 60% Decimal=0.6

Tails: Fraction= 4/10 simplified=2/5

Percentage=40% Decimal=0.4

brainliest if answer is good

4. Write 2 trinomials that when you add them together you will get 5x2 + 9x + 3.
Trinomial A


Trinomial B

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The two trinomial whose sum will get 5x²+9x+3 are 3x²+5x+2 and 2x² + 4x + 1.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The two trinomial whose sum will get 5x²+9x+3, therefore, the trinomial will be,

Trinomial A = 3x²+5x+2

Trinomial B = 2x² + 4x + 1

Hence, The two trinomial whose sum will get 5x²+9x+3 are 3x²+5x+2 and 2x² + 4x + 1.

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8696 is divisible by what numbers?
*choose all that apply*
9
10
4
3
6
2
5
d

Answers

Answer:

4 and 2

Step-by-step explanation:

please mark me as hhhshhàg jb hhhh bcuz


Which function is described by the value in the table

Answers

Answer:

second one

Step-by-step explanation:

Select the correct answer.
Which graph shows a function and its inverse?

Answers

Answer:

See below

Step-by-step explanation:

If a function is bijective and 1-to-1, then it will have an inverse function. Consequentially, they will be symmetrical about the line [tex]y=x[/tex], which is a diagonal line passing through the origin at a 45 degree angle.

None of the graphs look correct though, but it also seems that some options are cut out, so make sure to choose the correct graph given the characteristics I've previously described.

Answer:b

Step-by-step explanation:

sin³ 0 +cos³0 / sin 0+ cos 0 = 1-sin 0 cos 0

Answers

Answer:

Step-by-step explanation:

SHOW THAT:

sin³ 0 +cos³0 / sin 0+ cos 0 = 1 - sin 0 cos 0

Now, using the identity a^3 + b^3 = (a + b)(a^2 + b^2 - ab):

sin³ 0 +cos³0  =  (sin 0 + cos 0)(sin² 0 +cos²0 - sin0 cos 0)

As sin² 0 +cos²0 = 1 we have:

sin³ 0 +cos³0 = ( sin 0 + cos 0)(1  - sin0 cos 0)

So we can write the left side of the original expression as

( sin 0 + cos 0)(1  - sin0 cos 0) / (sin 0+ cos 0)

=  1  - sin0 cos 0 = Right side

= and we are done!.

Solve for y when x = 5.
y = 3x + 4

Answers

Answer:

19

Step-by-step explanation:

Plug in

y = 3(5) + 4y = 19

What are the coordinates of the image
of (-3, -7) after the translation
(x, y) - > (x-9, y + 9)?
F (-6, 16)
H (12, -2)
G (6, -16)
J (-12, 2)

Answers

here my Answer:)))))))

H (12, -2)

The answer what is it

Answers

Dawg what is this ??????

In 2012, the population of all of the people on Earth was approximately seven billion. Write the population in scientific notation.

Answers

Answer:

7 × 10^9 (that 9 is a exponent)

Step-by-step explanation:

What is Surface area for 5ft, 16ft, and 8ft

Answers

The surface area of the given rectangular prism is:

S = 496 square feet.

How to find the surface area?

For a rectangular prism of length L, width W, and height H is:

S = 2*(L*W + W*H + L*H).

In this particular case, we have:

L = 5ftW = 16ftH = 8ft.

If we replace that in the surface area equation, we will get:

[tex]S = 2*(5ft*16ft + 5ft*8ft + 16ft*8ft) = 496 ft^2[/tex]

The surface area of the rectangular prism is 496 square feet.

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[SOLVED] The following data values are amperage outputs from electrical testing.

60, 60, 61, 62, 63, 63, 65, 65, 70, 72, 73, 98

Use the drop-down menus to identify the key values.

What is the median? ✔ 64

What is Q1, the median of the lower half of the data? ✔ 61.5

What is Q3, the median of the upper half of the data? ✔ 71

What is the interquartile range, or Q3 – Q1? ✔ 9.5

Answers

The median of the data is 64, the value of Q1 is 61.5, the value of Q2 is 71, and the value of Q3-Q1 is 9.5

What is the median?

A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.

We have data:

60, 60, 61, 62, 63, 63, 65, 65, 70, 72, 73, 98

The median = (63+65)/2 = 64

Q1 = (61+62)/2 = 61.5

Q2 = (70+72)/2= 71

Q3 - Q1 = 71 - 61.5 = 9.5

Thus, the median of the data is 64, the value of Q1 is 61.5, the value of Q2 is 71, and the value of Q3-Q1 is 9.5

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Answer:

Use the drop-down menus to identify the key values.

What is the median? ✔ 64

What is Q1, the median of the lower half of the data? ✔ 61.5

What is Q3, the median of the upper half of the data ✔ 71

What is the interquartile range, or Q3 – Q1? ✔ 9.5

Step-by-step explanation:

edge 2023

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