An isosceles triangle in which the two equal sides, labeled a, are longer than the base, labeled b.
This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 models this information.

If one of the longer sides is 6.3 centimeters, which equation can be used to find the length of the base?

Answers

Answer 1

The side labeled "a" is made the longer side. These are the two congruent sides. So a > b.

We are told that the longer side is 6.3, so a = 6.3, meaning that

2a+b = 15.7

2(6.3)+b = 15.7

12.6+b = 15.7

b = 15.7-12.6

b = 3.1

The triangle has sides of: 6.3, 6.3, 3.1

The perimeter is 6.3+6.3+3.1 = 15.7

Going back to the question "which equation can be used to find the length of the base?", it sounds like either you were given a list of multiple choice answers, or you just fill in the blank. If multiple choice, then try to see which answer matches with what I wrote above. If fill in the blank, then I would just enter either 2(6.3)+b = 15.7 or 12.6+b = 15.7

Answer 2

Answer:

2(6.3)+b = 15.7 or 12.6+b = 15.7

Step-by-step explanation:


Related Questions

Rebecca is given two triangles, ABC and DEF. at first glance, she thinks that the triangles are congruent. How can she use what she knows about rotations and triangle congruence to prove the triangle congruence?

Answers

Answer:

A

Step-by-step explanation:

If you rotate DEF 180 degrees it will look the same as ABC and the order is angle side angle because the side 5cm is between the 2 angles 57 and 40

If you rotate DEF 180 degrees it will look the same as ABC and the order is an angle side angle.

We have given that,

Rebecca is given two triangles, ABC and DEF.

At first glance, she thinks that the triangles are congruent.

Therefore we have

What is the meaning of rotation?

Rotation is circular movement.

A rotation is the movement of something through one complete circle.

The daily rotation of the earth upon its axis.

If you rotate DEF 180 degrees it will look the same as ABC and the order is angle side angle because the side 5cm is between the 2 angles 57 and 40.

Therefore, If you rotate DEF 180 degrees it will look the same as ABC and the order is an angle side angle.

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2xsquare-6x+3=0 by completing square method

Answers

Answer:

x = 2.36603 or 0.633975

Step-by-step explanation:

Here we want to solve the quadratic equation using the completing the square method.

2x^2-6x + 3 = 0

divide through by 2 first;

x^2 -3x + 3/2 = 0

x*2 -3x = -3/2

Half the x term will be -3/2 and squaring it is 9/4

we add this to both sides

x^2-3x/2 + 9/4 = -3/2 + 9/4

(x-3/2)^2 = 3/4

Finding square root of both sides

x-3/2 = √(3/4)

x = 3/2 ± √(3/4)

x = 3/2 + √(3/4) or x = 3/2-√(3/4)

which becomes

x = 2.36603 or 0.633975

Esme buys jackets for $500 each and prices them for $700 each. If the selling price is reduced by 20%, what's the profit percentage?

Please help!!! Imma mark you the brainliest!!​

Answers

12%

The cost Esme increased was 200, but then she reduced 20%of 700, which gives 140 dollars reduced. So, we subtract 140 from 200, which is 60 to find the actual increase.

Now, we follow the simple rules of percentage change

Increase divided by original times 100.

So, 60 divided by 500( not 700) times 100 = 12

12% is the very correct answer ever

please help a struggling man​

Answers

Answer:

x is all real numbers

Step-by-step explanation:

The domain is the input to the function.  It is the values that x can take.

For this function, x can be any real value

The total points scored in a basketball game can be calculated using the expression 3c + 3.

If c = 41, how many points total were scored?

Answers

Answer:

126 points :D

Step-by-step explanation:

Quick answer 126

You already have what "c" is so all you have to do it plug it in. If something says 3c or any number and any letter all you have to do is times the number by whatever that letter is so if c is 41 then 3c+3 would be 3 x 41 + 3.

How many lines of rotational symmetry does this shape have?

Answers

Answer:

14 lines shape symmetry

PLZZZ HEEELLP MEEE ASAP

Answers

Answer:

2x=125-10. Answer is 57.5

Step-by-step explanation:

It was asking for the length of the missing sides, and both of them are the same so its 2x= something. the other 2 sides are the same length (5) so that's where the 10 comes from. The 125 is the total perimeter. So, first you subtract 10 from 125 and you get 115. And then you divide 2 on both sides and you get x=57.5

I hope this helped :)

If this answer helped the most, give it the brainliest.

Is the figure a translation?

Answers

Answer: yes

Step-by-step explanation: A translation is a transformation that slides a figure to a new position.

So in this problem, notice that we can slide the triangle on the top to the position of the triangle on the bottom.

So, this represents a translation.

Whenever there are _____________ in a set of data, the mean is not a good way to describe the data.

A. quartiles
B. modes
C. medians
D. outliers

Answers

Answer:

The answer is D because outliers are data far away from the main data set.

Answer:

d

Step-by-step explanation:

I really need help please :(

Answers

Answer:

0≤y≤5

Step-by-step explanation:

The range is the values of the output, or in this case the y values

The y values go from 0 to 5

0≤y≤5

The answer is C.

You can see visually that the function's domain lies within range from -5 to 5 on the x axis.

Monty has a total of $290 in ten dollar and five dollar bills. This can be represented by the function 10x + 5y = 290. Interpret the x- and y-intercepts.

Answers

Answer:

The x-intercept indicates that he has 29 ten dollar bills

and no five dollar bills. The y-intercept indicates that he has 58 five

dollar bills and no ten dollar bills.

Step-by-step explanation:

Write the Equation for the line that goes through the points (30,75) and (60,50).

Answers

Answer:y=[tex]y=-\frac{5}{6} x+100[/tex]

Step-by-step explanation:

my answer was wrong and cannot be deleted :)

Evaluate A² for A = 2.3

Answers

Answer:

5.29

Step-by-step explanation:

From A=2.3, A^2=2.3^2.3=2.3*2.3=5.29
Idk how to explain but 5.29 is the answer

What is the equation of the circle with center (11, 6) that passes through the point (17, 12)? A) (x − 11)2 + (y + 6)2 = 36 B) (x − 11)2 + (y − 6)2 = 36 C) (x + 6)2 + (y − 11)2 = 72 D) (x − 11)2 + (y − 6)2 = 72

Answers

Answer:

Its D

Step-by-step explanation:

Which is a stretch of an exponential decay function?

f(x) = Four-fifths (five-fourths) Superscript x
f(x) = Four-fifths (four-fifths) Superscript x
f(x) = Five-fourths (four-fifths) Superscript x
f(x) = Five-fourths (five-fourths) Superscript x

Answers

Answer:

C

Step-by-step explanation:

The function [tex]f(x) = \frac{5}{4} (\frac{4}{5}) ^{x}[/tex] represents the stretch of an exponential decay function.

What is exponential decay function?

The process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the formula [tex]y = a(1-b)^{x}[/tex]

where,

y is the final amount,

a is the original amount,

(1 -b) is the decay factor,

and x is the amount of time that has passed.

For a  exponential decay function (1-b) is always less than 1. If (1-b) < 1 it represents the exponential growth function.

And if a < 1, then it represents vertical compression and if a > 1, then it represents vertical stretch.

According to given question.

We have some functions in which we have to find the which one represents the decay function.

According to the function

[tex]f(x) = \frac{4}{5}(\frac{5}{4} )^{x} }[/tex]

For the decay function, the decay factor will always less than 1. In the above function the decay factor [tex]\frac{5}{4}[/tex] i.e. 1.25 is greater than 1.

Therefore, the above function doesn't represent decay function.

[tex]f(x) = \frac{4}{5}( \frac{4}{5} )^{x}[/tex]

Here, a < 1 i.e.  [tex]\frac{4}{5}[/tex] is less than 1 so the given function is not a stretch of an exponential decay function.

[tex]f(x) = \frac{5}{4} (\frac{4}{5}) ^{x}[/tex]

Here, b < 1 so it represents the exponential decay function. Also a > 1.

Therefore, the given function is the stretch of an exponential decay function.

[tex]f(x) = \frac{5}{4} (\frac{5}{4}) ^{x}[/tex]

Here, a > 1 but b > 1. Therefore, the above function doesn't represent the exponential decay function. It represents the exponential growth function.

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Sam is eating a Big Hamburger. The first bite was 20% of the Hamburger, the second bite was 20% of what is left and so every next bite is 20% of what is left. How much did the Hamburger weigh originally, if after the second bite there was 160g of it left?

Answers

Answer:

250 g

Step-by-step explanation:

160 g after two bites

80% after 1 bite

[tex]\frac{80}{100} =.8[/tex]

160 ÷ .8=200

200 ÷ .8=250

Answer:

250

Step-by-step explanation:

We start with the 100% and if we take 20% from that we get 80% if we take 20% from that we have 64%. This means 160 is 64%. So if we do 160/64*100 we will get the answer!

Communication Methods Among Teens
Frequency Two-Way Table
Which answer shows the relative frequency by the row
of girls?
O 52.5%, 23.0%, 24.6%, 100%
O 57.0%, 12.2%, 27.8%, 100%
O 60%, 12.2%, 27.8%, 100%
O 62.8%, 44.0%, 62.5%, 100%
Text
e-Mail
IM
Total
Boys
32
14
15
61
Girls
54
11
25
90
Total
86
25
40
151

Answers

Answer:

it’s c i think

Step-by-step explanation:

Answer C

Step-by-step explanation:

Using the given zero, find one other zero of f(x). Explain the process you used to find your solution.

1 - 6i is a zero of f(x) = x4 - 2x3 + 38x2 - 2x + 37.

Answers

Answer:

[tex]1+6i[/tex]

Step-by-step explanation:

The expression [tex]1-6i[/tex] represents a complex number. Particularly, complex solutions can't happen in odd number, for example, the minimum complex solutions an expression can have is 2.

Additionally, complex solutions are related by conjugates, which means the second solution to this polynomial is [tex]1+6i[/tex], because is the conjugate of the given complex root.

3 lines are shown. A line with points T, R, W intersects a line with points V, R, S at point R. A line extends from point R to point Z between angle V R W. Angle V R T is (5 x) degrees and angle T, R, S is (25 x + 30) degrees.
In the diagram, what is the measure of AngleWRS?

Answers

Answer:

25 degrees

Step-by-step explanation:

The angle WRS for the given triangle will be ∠WRS = 25°.

What is an angle?

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

Given that the triangle has an angle as shown in the image

The angle TRW → 25x + 30 = 180 -5x

→ x = 5°

Now the angle WRS → 180 - ( 25x + 30)

∠WRS = 25° hence, the correct answer will be this.

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PLEASE HELP ASAP the question is in the picture

Answers

can you please rotate the picture

true or false ? why and why not ?


7a + 4 - 2a is equivalent to 7a + -2a + 4

Answers

True because it’s a diamond Rottweiler

que se necesita para que una magnitud vectorial esté completamente definida ?

Answers

Answer:

Dirección y magnitud

Espero que esto ayude.

Answer:

Dirección y magnitud

Step-by-step explanation:

write 3.25 x 10^4 as a ordinary number

Answers

Answer:

32500

Step-by-step explanation:

[tex]3.25 \times {10}^{4} = 3.25 \times 10000 \\ = 32500[/tex]

Answer:

32500

Step-by-step explanation:

3.25 x 10 to the power of 4 = 3.25 x 10000 = 32500

I’ll mark you brainliest!!!!! Which point is a solution to the inequality represented by this graph?

Answers

Answer:

A is a solution because it is in the shaded area.

Step-by-step explanation:


The formulae for kinetic energy is E =-mv2.

Find the value of E when m= 900 and v=1.3,

Answers

Answer: ΔKE = 760.5 Joules

Step-by-step explanation:

Isnt the formula for ΔKE = 0.5m*v^2???

Im not going to use that formula you gave me, its wrong.

900/2 = 450

1.3^2 = 1.69

450 x 1.69 = 760.5 Jules

This is also the wrong subject btw

In a 30cm by 25cm rectangle, a quadrant of a circle of radius 7cm has been cut away from each corner. What is the perimeter of the part left? and also what is the area of the part left

Answers

Answer:

97.96 cm

596.14 cm²

Step-by-step explanation:

sides become:

30 cm ⇒ 16 cm25 cm ⇒ 11 cm

and added corners:

4*2πr/4= 2πr = 2*3.14*7 cm= 43.96 cm

then perimeter is:

P= 2*16+2*11+43.96= 97.96 cm

the area left is:

A= 30*25- 4*1/4*3.14*7²= 596.14 cm²

Jenna wants to wrap a shipping box shaped like a rectangular prism. The box is 30 inches tall and has a square base with sides that each measure 3 inches. How much paper will she​ use?

Answers

The total amount of wrapping papaws will be equal to the SA

*formula substituted*

(30 x 3 x 2) + ( 3 x 3 x 2)

If you go through these steps with Bedmas or pemdas you should get 198

Therefore she will need 198 square inch’s of paper


Sorry for messy explanation hard to do on a phone

the volume of a cone is 540pi. work out the height of the cone.

Answers

Answer:

I would need the radius of the cone to answer this completely, bit I can get you super close and explain it.

Step-by-step explanation:

The formula for a cone is

[tex]\pi \times r {}^{2} \times \frac{h}{3} [/tex]

From there, I started plugging in numbers. I set this equation equal to 540pi because both if them are the volume, so they are equal and I simplified as much as I could from there. First off, the pi cancel each other out since they're on both sides of the equation. From there you have this equation:

[tex]r {}^{2} \times \frac{h}{3} = 540[/tex]

Then, I multiplied both sides by 3 to get rid of the fraction on the left side of the equation:

[tex]r {}^{2} h = 1620[/tex]

Finally, I got rid of the "squared" by putting a square root over both sides if the equation, getting this:

[tex]r \times h = 40.249[/tex]

If I knew the radius. I could get the answer by dividing both sides by the radius.

Good luck!

Select the correct location on the image.
Shelly evaluated this expression using the order of operations, but she made a mistake. Which step includes Shelly's mistake?
2^2(3-8)divided by 5 - 1
Step 1
=2^2(-5)divided by 5-1
Step 2
4(-5) divided by 5 - 1
Step 3
-20 divided by 5 -1
Step 4
= -20 divided by 4
Step 5
= -5

Answers

Answer:

Step 4

Step-by-step explanation:

Given: Steps used by Shelly to evaluate the expression

To find: step that includes Shelly's mistake

Solution:

According to PEMDAS,

P denotes Parentheses

E denotes Exponents

M denotes Multiplication

D denotes Division

A denotes Addition

S denotes subtraction

Step 3 is [tex]-20\div 5-1[/tex] and step 4 is [tex]-20\div 4[/tex]

In step 4, first subtraction operation has been applied before the division operation.

There is a mistake in step 4 as according to PEMDAS, first -20 should be divided by 5 then 1 should be subtracted from the resultant number.

Answer:

Step 4 is correct for plato

Step-by-step explanation:

-20 divided by 4.

A Car travels 42 km
On 7 litres of petrol. How long will it travel
on 12 litres of petrol.​

Answers

Answer:

The answer is 72

Step-by-step explanation:

You'll do 42 divided by 7 times 2

42/7x2

Hope it helps.

A car travels 72 km on 12 liters of petrol.

What is Division method?

Division method is used to distributing a group of things into equal parts.

Given that;

A Car travels 42 km on 7 liters of petrol.

Now,

Since, On 7 liters of petrol a car travel 42 km

Hence, On 1 liter of petrol distance cover by a car = 42 ÷ 7

                                                                             = 6 km

So, On 12 liters of petrol distance cover by a car = 6 × 12

                                                                           = 72 km

Thus, A car travels 72 km on 12 liters of petrol.

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US Department of Transportation As part of a study on transportation safety, the US Department of Transportation collected data on the number of fatal accidents per 1000 licenses and the percentage of licensed drivers under the age of 21 in a sample of 42 cities. 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