A street sign is in the shape of an isosceles triangle that has a base of 6.5 inches bigger than either of the equal sides. If the perimeter of the triangle is 65 inches, what is the length of the equal sides?

Answers

Answer 1

Answer:

19.5

Step-by-step explanation:

side is 6.5 bigger, so minus the 6.5 from the total perimeter of 65 and divide by 3.

65- 6.5 = 58.5

58.5 ÷ 3 = 19.5

equal sides are 19.5

longer side is 19.5 + 6.5

Answer 2

Answer:

19.5 inches

Step-by-step explanation:

You can interpret this problem as x + x + (x + 6.5)=65, with x being the length of the equal sides.

Simplified, this equation becomes 3x+6.5=65.

Solving, this becomes 3x+6.5-6.5=65-6.5 which comes out as 3x=58.5. Next, we divide this equation by 3 on both sides, which then comes out to x=19.5. Therefore, the length of equal sides are 19.5.

Check: There are two equal sides, so 19.5+19.5. Since the base is 6.5 inches bigger than either of the equal sides, the base is equal to 19.5+6.5=26. Adding these values all together comes out to 19.5+19.5+26=65.


Related Questions

Someone please help me I think its the third one I am just not entirely sure. I will give 5 stars and thanks!

Answers

Answer:

the third one is the correct answer

A math class has 4 girls and 1 boy in the seventh grade and 5 girls and 5 boys in the eighth grade. The teacher randomly selects a seventh grader and an eighth grader from the class for a competition. What is the probability that the students she selects are both boys?
Answer is 1/10

Answers

Answer:1/10

Step-by-step explanation:so easy

The probability that the students she selects are both boys is 1/10.

What is a probability?               Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates complete certainty.

Given is that a math class has 4 girls and 1 boy in the seventh grade and 5 girls and 5 boys in the eighth grade. The teacher randomly selects a seventh grader and an eighth grader from the class for a competition.

The probability that the students she selects are both boys -

P{E} = P{1} x P{2}

P{1} : randomly selecting a seventh grader as a boy.

P{2} : randomly selecting a eight grader as a boy.

We can write -

P{1} = n{f}/n{s} = 1/5

P{2} = n{f}/n{s} = 5/10 = 1/2

P{E} = P{1} x P{2}

P{E} = 1/5 x 1/2

P{E} = 1/10

Therefore, the probability that the students she selects are both boys is 1/10.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

Simplify the linear expression.

−3x+5(−8x−1)

Enter your answer in the box.

Answers

Answer:

-43x - 5

Step-by-step explanation:

−3x + 5 (−8x −1)

First, distribute 5 into the parenthesis:

= −3x + 5 (−8x −1)

= -3x - 40x -5

Combine like terms:

= -43x - 5

Answer:

-43x - 5

Step-by-step explanation:

I took the K12 test

A square has side of length y units what is the area?

Answers

We know to find the answer it is l x w
And since it is a square both the l and w are both “y” units so your answer is
y x y or simplified to y^2
(^ symbol means to the power of two)

1.7 PS-6
Quesu
Challenge You buy 3.17 pounds of pears, 1.45 pounds of oranges, and 1.77 pounds of grapes. What
is your total bill?
Grocery Store Prices
Item
Cost
Pears
$0.99 per
pound
Oranges $1.19 per
pound
Grapes
$1.29 per
pound
Your total bill is $
(Round to the nearest cent as needed.)
Ento

Answers

Step-by-step explanation:

the price of:

3.17 pounds of pears = 3.17 × 0.99

= $3.14

1.45 pounds of oranges = 1.45 × $1.19 = $1.73

1.77 pounds of grapes = 1.77 × $1.29 =$2.28

so , the total bill = 3.14+ 1.73+ 2.28 = $7.15

Find prices of all

pears

3.17(0.99)$3.14

Oranges

1.19(1.45)$1.73

Grapes

1.77(1.29)$2.28

Total

2.28+1.73+3.14$7.15

Brainlisted for right answer!!! 25 points!!! Please help me!!! I really need this done!!!

Answers

Answer:

Step-by-step explanation:

While I can not give you the exact answer as it is a graph, it's worth noting that the function is in f(x) = mx + b form.

This means the first point with an x coordinate of 0 will start at 6, and for each increase in one on the x-axis, we add 2.4.

So, the first coordinate is (0,6), the next is (1,8.4), and so on until you reach the end. That shouldn't take very long provided you can compute addition mentally.

Hope this helps and Good Luck

What is the slope of the line?

−9/5


−5/9


9/5


5/9

Answers

Pick two points on the graph
(1, -4) and (-4,5)

Solve for slope
m = 5 — -4/ -4 - 1
M = 9/-5

Answer is the first one

Answer:

-9/5

Step-by-step explanation:

(-3, 3) & ( 2, -4) -9/5 rise over run and negative because its in negative axis

graph the line with slope 8 and y-intercept -9

Answers

You want the first point to be on the y-axis (vertical) at -9. Then from there, you plot the slope which is rise over run. So, from -9, you go up 8 and over 1 and continue. Your next point is going to be at (-1,-1). Then you draw a line through those points.

please help and thank you

Answers

Answer:

[tex]y=-3x-7[/tex]

the first discount on a certain laptop was 15% the second was 28% after two discounts the price become $306. What was the original price?

Answers

Answer:

$437.58

Step-by-step explanation:

15% + 28%

= 43%

43/100 × 306

= $131.58

$131.58 + $306

= $437.58

What is the area of a circle with a radius of 6 inches?

9 pi in^2
12 pi in^2
36 pi in^2
81 pi in^ 2

Answers

Answer:

Area of circle = πr² ( Putting π = 22/7) Area = 3.14×6×6Area = 113.04

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Please Help! I will give you a lot of points!

Answers

#1

(56,7) is the co-ordinate of point B.

#2

(56,7)

It means that the ball has travelled 56yards .it is at the height of 7ft.

Answer:

(56,7) is the answer of this questions

What is the slope of this graph?​

Answers

-4 as if it was -1/4 that would mean it goes to right 4 times and down 1

please help me pleaseeee!​

Answers

1)true

2)true

3)false

4)true

5)true

6) false

7))true

8)true

9)false

10)false.

11)false

12)true

HELP!
Ruben, Shelly, and Malcolm have recorded a hit song. Ruben gets 2/5 of the income, Shelly gets 1/3, and Malcolm gets the rest. If they earn $300,000, how much does Malcolm earn?

Answers

Answer:

$ 80,000

Step-by-step explanation:

2/5 + 1/3 = (6 + 5)/15 = 11/15

15/15 - 11/15 = 4/15

4/15 of 300,000

4/15 x 300,000 = 1,200,000/15 = 80,000

Use the graph above to demonstrate your understanding of slope and density.
a. Calculate the slope of the trend line using this mathematical equation: Slope = Y2-Y1 / X2-X1
(Use the 2 yellow dots on the graph and show your work)


b. In this graph (mass vs volume), what does the slope represent?

Answers

Answer:

41

Step-by-step explanation:

i know skxkdkckxokdkakd

In the given figure ST | PQ, If 2PS = 3SR and ST = 9 then find PQ
pls answer.
40 points.​

Answers

Answer:

Ar.ofΔPST

=

4

9

Step-by-step explanation:

In figure ST || QR

and PS= 3 cm & RS= 4cm

In ΔPST & PQR

QPR=∠TPS [Common]

∠PRQ=∠PST [corresponding]

ΔPQR∼ΔPST [AA similarity]

Now

In similar triangles ratios of the area of triangles is equal to the ratio of the square of corresponding sides.

Ar. ofΔPRQ

Ar.ofΔPST

(

3+4

3

)

2

=

49

9

Hence [

Ar.ofΔPRQ

Ar.ofΔPST

=

49

9

]

Write the equation of a square root function that has the following graph.

Answers

9514 1404 393

Answer:

  g(x) = √(x -5) +7

Step-by-step explanation:

To translate the graph of f(x) by h units horizontally and k units vertically, the function is transformed to ...

  g(x) = f(x -h) +k

To translate f(x) = √x by 5 units horizontally and 7 units vertically, the function is transformed to ...

  g(x) = √(x -5) +7

Define the transformations in f(x) = -1/3|2x - 3|+ 2 from f(x) = |x|

Answers

Answer:

horizontally shrink by factoring of 2, shift 3/2 units to the right, shift 2 units upward

Step-by-step explanation:

Which table represents a linear function?

Answers

Answer:

Table 1 (leftmost)

Step-by-step explanation:

A linear function has a common difference between all of the x-values. This means that all the x-values change by the same amount relative to the change in y. In this case, the x-value increases by 1/2 every time that y increases by 1. The other tables do not work because their change is inconsistent. There is no number being added each time. Therefore, they are not linear. If you were to graph these tables, only table 1 would make a straight line.

2. The curve with equation y = ax? + bx +c passes through the points P (2,6) and Q (3, 16), and has a gradient of 7 at the point P. Find the values of the constants a, b, and c.​

Answers

Answer:

[tex]y = a{x}^{2} + bx + c \\ 6 = a{2}^{2} + 2b + c \\ 6 = 4a+ 2b + c...(1) \\ 16 = 9a+ 3b + c...(2) \\ \frac{dy}{dx} = 7 = 4a + b...(3) \\ (2) - (1) \\ 10= 5a + b...(4) \\ (4) - (3) \\ 5a - 4a = 10 - 7 \\ \boxed{a = 3 }\\ sub \: a \: im \: (4) \\ 10 = 15 + b \\ \boxed{b = - 5} \\ sub \: a \: b \: in \: (1) \\ 6 = 4(3) + 2( - 5) + c \\\boxed{c = 4}[/tex]

An insurer knows that the proportion of smokers in a population is 0.3. Furthermore, it is known that: 40% of applicants who are smokers say they do not smoke on their applications. None of the non-smoking applicants are lying on their application.
Calculate what is the probability that one of the applicants says that he does not smoke, and that in fact do not smoke.

Answers

Answer: Approximately 0.8537

===================================================

Explanation:

Let's say this population had 1000 people. You can pick any number you want, but I'm going for some nice big round number to work with.

The proportion of smokers is 0.3, which means 0.3*1000 = 300 people in this population are smokers and 1000-300 = 700 are nonsmokers.

Of the 300 people who do smoke, 40% of them lie on the application. This means 0.40*300 = 120 people lied. These 120 people say they don't smoke, but in fact they do smoke.

So if we were to survey this population, then 700+120 = 820 people would say they don't smoke

Only considering the people who write "don't smoke" on the survey, which is that 820 figure, 700 of them are true nonsmokers. Therefore, the probability we want is 700/820 = 0.8537 approximately

[tex]\lim_{x \to +\infty} (\frac{x^{2}-3x-1 }{x^{2} -4x+2} )^{\frac{x}{2} }[/tex]

Answers

Step-by-step explanation:

I know but I m feeling bore

I solved on my phone it was a easy question just used a calculator to write up the fraction and infinite etc

What is the answer for this question?

Answers

Answer:

I don't know sorry.....

what are the products of these problems: 4.3 x 7.2 0.3 x 24 0.9x1

Answers

Answer:

1. 30.86 2. 7.2

Step-by-step explanation:

Hopes this helps

Answer:

4.3 × 7.2 = 30.960.3 × 24 = 7.20.9 × 1 = 0.9

Step-by-step explanation:

1. Simple multiplication. Multiply 4.3 and 7.2

2. Simple multiplication. Multiply 0.3 and 24

3. Simple multiplication. Multiply 0.9 and 1

==>> Result 1: 30.96

==>> Result 2: 7.2

==>> Result 3: 0.9

need help due in 2 minutes!!!!!

Answers

Answer:

x = 7x^2

Step-by-step explanation:

4x-14=-3x^2

x-14=3x^2

x= 7x^2

Answer:

3x²+4x-14=0

Step-by-step explanation:

Standard form of a quadratic equation is ax²+bx+c=0. To do that, simply move -3x² over to the other side by adding it. That leaves you with the answer.

What is the correct number form for “seven and eighty-three thousandths?”

Answers

Answer:

7.083

Step-by-step explanation:

Answer:

7.083 im pretty sure

Step-by-step explanation:

Wxy is a right triangle.

Answers

Answer:

B. False

Step-by-step explanation:

To check if its a right angle triangle, you need to check if pythagoras' theorem works:

a² + b² = c²

(√17)² × (√17)² = 289 which is not equal to (√34)²

You just paid $435,000 for a policy that will pay you and your heirs $17,300 per year forever with the first payment in one year. What rate of return are you earning on this policy?

Answers

Answer:

3.98%

Step-by-step explanation:

R = $17,300/$435,000 = .0398, or 3.98%

Determine whether the triangles are similar

Answers

Step-by-step explanation:

ur are choosing correct option as,

W = Y ( 90° given )

VW = YZ ( as both are || to eachother so their length is same )

angle X = X ( vertically opposite angle)

therefore, WVX = ZYX are congruent according to SAS congruency rule/criteria.

hope this answer helps you dear..take care and may u have a great day ahead and also ur exam/test goes well!.

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