Two sides of a triangle have the same length. The third side measures 3 m less than twice that length. The perimeter of the triangle is 25m. Find the lengths of the three sides.

Answers

Answer 1

Answer:

two sides have the length of 7m

third side is 11m

Step-by-step explanation:

perimeter is the sum of all sides

let 'n' = length of congruent sides

let '2n - 3' = length of third side

25 = n + n + 2n - 3

25 = 4n - 3

28 = 4n

n = 7m

2(7) - 3 = 11m


Related Questions

Montrey recently paid off his simple interest loan. If he borrowed $6,500 for 5 years at 7%, what was the total amount he had to pay back?

Answers

9514 1404 393

Answer:

  $8,775

Step-by-step explanation:

The amount due is given by the formula ...

  A = P(1 +rt)

where P is the principal amount, r is the annual rate, and t is the number of years.

  A = $6,500(1 +0.07×5) = $6,500(1.35) = $8,775

Montrey had to pay back $8,775.

What is the volume of the rectangular prism?​

Answers

Answer:

15 0/0

Step-by-step explanation:

15 cubes on each side which totals to 30 cubes. To get the volume 15 cm multiply 30 x 1/2 = 15 the amount of volume

Answer:

15[tex]cm^{3}[/tex]

Step-by-step explanation:

ok...each of those boxes are 1/2 cm

What is the easiest thing to do is to count the front of the rectangular prism and there are 15 cubes. Now double it, and you get 30 cubes, now since each cube is 1/2 or 0.5, we get can do 0.5 x 30 and we get 15

Hope this helped!

Have a supercalifragilisticexpialidocious day!

"What is the difference between a ratio and its related rate and unit rate?"

Answers

Answer:

Step-by-step explanation:

The ratio is the relationship of two numbers. ... A rate is a little bit different than the ratio, it is a special ratio. It is a comparison of measurements that have different units, like cents and grams. A unit rate is a rate with a denominator of 1.

The difference between ratio and unit rate is that both of them are measures of two units and are written in the form of a numerator and a denominator but the unit rate denominator must be one.

What is a ratio?

It shows how many times one value is contained in another value.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

Ratio and unit rate

Ratio and unit rate both are written in the form of a numerator and a denominator.

The ratio is a measure of two units contained in a whole amount.

Example: 3 apples and 3 mangoes are contained in a bag

The ratio of apple and mango is 3:3 = 1:1

The unit rate is also a measure between two units but the denominator should always be one.

Example: A man can run 10 miles in 10 hours

In one hour 1 mile.

The unit ratio is 10miles per hour.

Thus,

The difference between ratio and unit rate is that both of them are measures of two units and are written in the form of a numerator and a denominator but the unit rate denominator must be one.

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You earn 28$ for washing 7 cars. How much do you earn for washing 3 cars?​

Answers

Answer:

$12

Step-by-step explanation:

;)

Answer:

12

Step-by-step explanation:

28 divided by 7 = 4

4 x 3 = 12

Brody invested $2,800 in an account paying an interest rate of 2.7% compounded
continuously. Assuming no deposits or withdrawals are made, how long would it
take, to the nearest year, for the value of the account to reach $3,560?

Answers

answer-

t≈9

step-by-step: i skipped the question and  got the right answer

The amount will become $3560 after the tenure of 9 years.

What is compound interest?

Compound interest is the interest on savings computed on both the initial principal and the interest earned over time. In theory, continuously compounded interest means that an account balance is constantly earning interest and refeeding that interest back into the balance so that it, too, earns interest.

Given that Brody invested $2,800 in an account paying an interest rate of 2.7% compounded continuously.

The time period will be calculated as,

[tex]P(t) = P_oe^{rt}\\\\3560 = 2800e^{0.027\times t}[/tex]

Take log on both sides and solve,

ln(3560 / 2800) = 0.027x t(ln(e)

t = ln(1.27) / 0.027

t = 9 years

Therefore, the amount will become $3560 after the tenure of 9 years.

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0.12 divided by 5.676

Answers

Answer:

47.3

Step-by-step explanation:

Determine the value of x in the figure

A) x = 8
B) x = -4
C) x = 4
D) x = 4/3

Answers

Answer:

Step-by-step explanation:

X=8

You have 4.5 pounds of egg whites. You need 8 oz to make one serving of consomme. How many can you

Answers

Question 4 Not Yet Answered Points Out Of 1.00 You Have 4.5 Pounds Of Egg Whites. You Need 8 Oz To Make One Serving Of Consomme. How Many Servings Can You Make? Answer: Swer

swer

Find the circumference and the area plzzz

Answers

Answer:

3.

A) 43.96 cm (Circumference)

B) 153.86 square cm (Area)

4.

A) 62.8 ft (Circumference)

B) 314 square ft (Area)

Step-by-step explanation:

3. Radius 7 cm

7*2=14 (Find the diameter)

14*3.14= 43.96 cm (Circumference)

7*7=49 (Find the square of radius)

49*3.14 = 153.86 square cm (Area)

4. Diameter: 20 ft

20*3.14 = 62.8 ft (Circumference)

20/2=10

10*10=100

100*3.14= 314 square ft (Area)

Need help on this please

Answers

Answer:

157.08m²

Step-by-step explanation:

Since the area of a circle is A=πr²

The radius is 10, so

A=π10²

A=314.16 (rounded to nearest hundredth)

Half of that is 157.08.

Line m is intersected by line t , as shown in the diagram below. Based on the diagram, which of the following equations must be true? A m∠1+m∠2=180°
B m∠1+m∠3=180°
C m∠2+m∠3=90°
D m∠2+m∠4=90°

Answers

the answer is quite simple on this one. angles 1 and 3 are equal, and angles 2 and 4 are equal.

if you thi k about moving line t then you can see 2 and 4 will not add to 90°. angles 2 and 3 do not add to 90° because their angles added make a straight line (180°). answer B is almost true but not quite since the angles are not perpendicular to each other (1 and 3).

therefore, answer is A because of said explanation about answer B in previous paragraph. they make a straight line (180°). just basic geometry.

Jackson bought snacks for his team's practice. He bought a bag of oranges for $1.61 and a 6-pack of juice bottles. The total cost before tax was $13.19. How much was each bottle of juice?

Answers

Answer:

$1.93

Step-by-step explanation:

From the total (13.19), subtract the cost of the oranges (1.61). That would equal 11.58, which is the cost of the 6-pack of juice bottles. Then, divide 11.58 by 6 to determine the cost of each bottle.

Each bottle = $1.93

Hope this helps!!

The length of a rectangle is 2ft longer than its width.
If the perimeter of the rectangle is 40ft , find its area.

Answers

The area is 96ft.

We know that the perimeter includes four sides. Divide the 40 by 4. You will get 10. Four sides of ten would get you a perimeter of 40. Now take two tens, one for the length and the width. Add 2 to one side and subtract 2 from the other. This will get a length of 12 and a width of 8. Than multiply the 12 and 8 to get the area. You will get 96.

Hey can someone please help me

Answers

The vertex is located at (h,k)

The two roots p and q can be defined as such

p = h-rq = h+r

where r is the horizontal distance between the vertex and either root. We use the same r value for each equation because of symmetry. The diagram below shows what I mean.

Let's add up those two equations to get

p+q = 2h

The left hand sides p and q add to p+q. The right hand sides add to (h-r)+(h+r) = 2h. Note the r's cancel.

From here, we divide both sides by 2 and we end up with

h = (p+q)/2

In short, if we know the roots p and q, then we find the x coordinate of the vertex (h) to be the average of those roots. You add up the roots and then divide by 2.

After you figure out the value of h, finding the value of k will have us plug in this h value into the quadratic equation and simplifying.

------------------------

Example:

Let's say we have the quadratic y = x^2 - 8x + 12. This factors to (x-2)(x-6)

Solving (x-2)(x-6) = 0 shows that x-2 = 0 becomes x = 2 and x-6=0 becomes x = 6.

So the roots here are p = 2 and q = 6. The order of the roots doesn't matter.

Averaging these roots gives us

h = (p+q)/2

h = (2+6)/2

h = 8/2

h = 4

The x coordinate of the vertex is x = 4.

Plug this back into the original equation to find...

y = x^2 - 8x + 12

y = (4)^2 - 8(4) + 12

y = 16 - 32 + 12

y = -16 + 12

y = -4

Or you could say

y = x^2 - 8x + 12

y = (x-2)(x-6)

y = (4-2)*(4-6)

y = (2)*(-2)

y = -4

Either way, we find that k = -4 is the y coordinate of the vertex

The vertex for this example is located at (h,k) = (4, -4)

Refer to the diagram below.

Work out the circumference of this circle with radius 7.5cm
Take pi to be 3.142​

Answers

Answer in terms of pi: 15pi cm
Explanation:
C = 2 x pi x r
C = 2 x pi x 7.5
C = 15 pi

Answer: 47.12cm (rounded to 2dp)
Explanation:
C = 2 x pi x r
C = 2 x pi x 7.5
C = 15 pi
C = 47.1238898
C = 47.12 (2 dp)

Answer:

15pi cm or 47.12

Step-by-step explanation:

Radius= 7.5cm

7.5 x 2 = 15

diameter= 15cm

circumference = pi x diameter

circumference= pi x 15

=15pi cm or 47.12

What is the distance between (4, 3) and (9, 15) on the coordinate plane? Select two that apply.
V169 units
V144 units
5 units
13 units
12 units

Answers

Answer:

169 units

13 units

The distance between the two points (4, 3) and (9, 15) will be 13 units. Then the correct options are A and D.

What is the distance between two points?

Let one point be (x, y) and another point be (h, k).

Then the distance between the points will be

D² = (x - h)² + (y - k)²

The coordinate of the points is given below.

(4, 3) and (9, 15)

Then the distance between the two points (4, 3) and (9, 15) will be given as,

D² = (9 - 4)² + (15 - 3)²

D² = 5² + 12²

D² = 25 + 144

D² = 169

D = 13 units

The distance between the two points (4, 3) and (9, 15) will be 13 units. Then the correct options are A and D.

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I need to know what are the six trigonometric functions of angle theta

Answers

Answer:

Sine, cosine, tangent, cosecant, secant and cotangent.

Help me please I don’t understand these please helpp

Answers

its ok! the equation youd need is
90°=2x+x-3
90=3x-3
93=3x
31=x :]

What is the product of
4
7
and
1
6
? Use the grid to help you.

A grid divided vertically into sevenths and horizontally into sixths. Each side length is one foot.

Answers

Answer:

C and 2/21

Step-by-step explanation:

i did it

We can write the product of the given fractions as -

{4/7 x 1/6} = 2/21

What is fraction?

A fraction is expressed in the form of {x/y}, where {y ≠ 0}.

Given is to find the product of the fractions -

4/7 and 1/6

We can write the product of the fractions {4/7} and {1/6} as -

{x] = 4/7 x 1/6

{x} = 2/7 x 1/3

{x} = 2/21

Therefore, we can write the product of the given fractions as -

{4/7 x 1/6} = 2/21.

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state whether the two triangles are similar, and if so, by which theorem? justify your answer​​

Answers

Answer:

it's a congruent triangle and the scale factor is 2

Step-by-step explanation:

i don't know what you mean by theorems if you mean circle theorems well that obviously is not a circle so it's not one.


Would the hypotenuse of a right triangle with a vertical length of 6 and a horizontal length of 10 have the same slope as the hypotenuse of the blue and red
triangles shown in the graph?

Answers

No

1. Vertical 6, horizontal 10
6/10 = 3/5 slope

2. (Red) vertical -2, horizontal 3
-2/3 does not equal 3/5

3. (Blue) vertical 4, horizontal 6
4/6 = 2/3 but does not equal 3/5


Here is a list of numbers:
20 8. 6. 11.3. 1572072.73
State the median​

Answers

Answer:

20

Step-by-step explanation:

your middle median is 20  in ascending order it is also 20  *im in year 8 my explenation is bad*

Help meee !!! Last question

Answers

Answer:

It'll be 2. Equation 1 will be 4 times larger than equation 2,

exp. 1. 21/3*4

= 7*4

=28

exp 2. 21/3

= 7

Hence, it is four times

Hope it helped

All the best!! ♥

what is 233 x 234 ???

Answers

Answer:

the answer is 54522

Step-by-step explanation:

hope it helps

Answer:

it is 54522 hope it helps

What is the slope of the line that passes through the points (-2, 2), and (-4,-2)?

A. -1/2

B. 2

C. -2

D. 1/2 ​

Answers

Answer:

Option B

Step-by-step explanation:

Use the slope formula.

[tex]\frac{rise}{run}=\frac{-2-2}{-4+2}=\frac{-4}{-2}=\boxed{2}[/tex]

The answer sohuld be B.

Hope this helps.

15 points!!! Help!! Find x. Round to the nearest tenth

Answers

Answer:

So let the hypotenuse be

x

:

sin

(

47

°

)

=

opposite side

x

sin

(

47

°

)

=

12

x

To solve for

x

, divide

sin

(

47

°

)

by

12

:

x

=

12

sin

(

47

°

)

x

16

Step-by-step explanation:

Answer: 16

Reason: bc it just is

HELP ME I NEED THE ANSWER TO THIS!!

Answers

Answer:

I think it is D

Step-by-step explanation:

6700 dollars is placed in an account with an annual interest rate of 8%. How much will be in the account after 24 years, to the nearest cent

Answers

Answer:

Step-by-step explanation:

The answer depends on whether the interest is simple or compound.

For simple interest:

A = 670(1 + 0.08)(24)

For compound interest

A = 670(1 + 0.08)24

Answer:

???????

Step-by-step explanation:

What is the minimum depth of the water in the pool?

1 foot


2 feet


3 feet


4 feet

Answers

Answer:

1 foot

Step-by-step explanation:

The minimum value is the lowest y-value on the graph. The graph shows that at 6 hours there is only 1 foot of water in the pool. In this case, the y-values never go below 1, this must mean that 1 is the minimum.

Solve for w. -2 > W - 12​

Answers

Answer:

10 > w

Step-by-step explanation:

-2 > w-12

Add 12 to both sides of the equation in order to isolate w

-2+12 > w-12+12

This will cancel out 12 on the right side of the inequality as well as give the value of w on the left side of the inequality.

10 > w
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