Triangle ABC has perimeter 20 cm.
AB = 7 cm.
BC = 4 cm.
By calculation, deduce whether triangle ABC is a right-angled triangle.

Answers

Answer 1

Answer:

You have an obtuse, scalene triangle, so no :)

Step-by-step explanation:

Side a = 4

Side b = 9

Side c = 7

Angle ∠A = 25.209° = 25°12'32" = 0.43998 rad

Angle ∠B = 106.602° = 106°36'6" = 1.86055 rad

Angle ∠C = 48.19° = 48°11'23" = 0.84107 rad

Answer 2

Answer:

Triangle ABC is not a right-angle triangle.

Step-by-step explanation:

perimeter of the triangle: 20cm

AB=7cm and BC=4cm.

We can do the third length (AC) by subtracting the known lengths from the perimeter: 20 - 7 - 4 = 9

Therefore, the length AC is 9.If

ABC were a right angle triangle, we'd be able to use Pythagoras's Theorem to work out the length AC.

AC is the hypotenuse of the triangle because it is the longest length.

a2 + b2 = c242 + 72 = 16 + 49 = 65

Where AC = c, c2 = 65 If c = 9, then c2 = 81, however when using Pythagoras, c2 = 65.

I hope this helps. I am sorry if you get this wrong.


Related Questions

A 60-meter-long wire is divided into two parts such that the length of one part is 3/5 parts the length of the other. Determine the length of each part

Answers

Answer:

36 meters and 24 meters.

Step-by-step explanation:

[tex]60 \times 3/5\\180/5=36[/tex]

[tex]60 \times (1-3/5)\\60 \times 2/5\\120/5=24[/tex]

Answer:

37.5 m, 22.5 m

Step-by-step explanation:

Let length of first part be x

Length of second part be 3/5x

x + 3/5x = 60

5x + 3x = 60

8x = 300

x = 300/8 = 37.50 m

Second part is 3/5x

3/5 x 37.50 = 22.50 m

Hazel buys a dress that costs $50.00. She pays 5% sales tax. How much does she pay for the dress with tax?

Answers

Answer:

$52.5

Step-by-step explanation:

Costing Price = $50

Tax = 5% of $50

=> [tex]\frac{5}{100} * 50[/tex]

=> 0.5*5

=> $2.5 Tax

Total Cost = CP + Tax

=> $50 + $2.5

=> $52.5

Answer:

52.50

Step-by-step explanation:

i just did the test

Please help me in this question.Tell me if it is good. And if it is not good then do it for me please.

Answers

Answer:

Y = 170, Z = 64.

Step-by-step explanation:

Since y is the external angle to x, which you got right, it is in fact, 180-10, = 170 degrees. And since z is the external to our unknown angle, that means it is equal to the sum of the other two angles in the triangle. That means z is 54 + 10, which is 64.

5, 14, 11, 16, 7, 5, 18, 9 What is the median?

Answers

Answer:

The median would be 10. The number in between 9 and 11 would be 10

Step-by-step explanation:

The numbers in order would be 5,5,7,9,11,14,16,18. Since there is an even amount of numbers in the sequence, the middle two numbers are 9 and 11. You add them together to get 20 then divide by 2. So the answer would be 10.

Hope this helped!!!

10 is the answer because it’s between 9 and 11.

Find the surface area of the cone in terms of pi.

Answers

Answer:

First option is the correct choice.

Step-by-step explanation:

[tex]SA=\pi r^2+\pi r l\\\\=\pi \left(3\right)^2+\pi \left(3\right)\left(8\right)\\\\=33\pi \:ft^2[/tex]

Best Regards!

Jill earned $40 from a carpool plus $9 per hour (h) babysitting this week. Which of the following expressions best represents Jill's income for the week?

9 + 40h
9 + h + 40
9h + 40
9 + 40

Answers

Answer:

9h+40

Step-by-step explanation:

Jill is Guaranteed exactly 40$ so that stays the same. She will also earn 9$ every hour. This can be represented as 9 x number of hours or simply 9h.

So altogether, her original 40$ and her 9$ from every hour can be written together as 40 + 9h or 9h + 40.

(ps. this is my first answer, I apologise if Its not very detailed.)

The expressions best represent Jill's income for the week is 9h+40. The correct option is C.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

It is given that Jill earned $40 from a carpool plus $9 per hour (h) babysitting this week. The expression will be written as below:-

Jill is Guaranteed exactly 40$ so that stays the same. She will also earn 9$ every hour. This can be represented as 9 x the number of hours or simply 9h.

Her original 40$ and her 9$ from every hour can be written together as below:-

40 + 9h or 9h + 40.

Therefore,  the expressions best represent Jill's income for the week is 9h+40. The correct option is C.

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Which property of equality was used to solve this equation? x − 5 = -14 x − 5 + 5 = -14 + 5 x = -9 A.) addition property of equality B.) subtraction property of equality C.) multiplication property of equality D.) division property of equality

Answers

To solve the given equation, we will use the addition property of equality.

What is the addition property of equality?

The addition property of equality states that when the same quantity is added to both sides of an equation, it produces an equivalent equation.

For numbers a, b, and c, if a = b then a + c = b + c.

Given is an equation, x - 5 = -14,

We are asked to identify, that, which property of equality was used to solve this equation,

Solving the equation,

x - 5 = -14

Add 5 to both sides,

x-5+5 = -14+5

x = -9

Since, we used addition, therefore, this property is addition property of equality.

Hence, to solve the given equation, we will use the addition property of equality.

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Pls helpppppppppppppp

Answers

Answer:

a. √2⁴+3² = √16 + 9

= √25 = 5

The answer is a

b. √10²-2^6 = √100-64

= √36 = 6

The answer is b

Hope this helps.

Answer:

A.) should be C

B.) should be D

90% sure

I need help with this problem

Answers

Answer: A. 94

Step-by-step explanation:

The formula for surface area is A=2(wl+hl+hw).Wwe are given our values of width, length and height, so we can plug them in.

w=3

l=4

h=5

A=2((3*4)+(5*4)+(5*3))

A=2(12+20+15)

A=2(47)

A=94

The answer is A. 94

If polygon COLD is congruent to polygon WARM and the area of polygon WARM is 28 square feet, what is the area of polygon COLD

Answers

Answer:

28 sqr feet.

Step-by-step explanation:

Congruent means equal to. So Cold = Warm for some given property (Area in this case).

28 ft^2 is the answer

Analyze the diagram below and complete the instructions that follow.

Find sin ZNOM.

Answers

Answer:

sin NOM = 3/5

Step-by-step explanation:

sin NOM = opposite/ hypotenuse = MN/OM

OM² = 4² + 3² = 25

OM = √25 = 5

sin NOM = MN/OM = 3/5

A line has a slope of Negative one-fourth and passes through point (Negative five-fourths, 1). What is the equation of the line? y = negative one-fourth x + StartFraction 21 Over 16 EndFraction y = negative one-fourth x + StartFraction 11 Over 16 EndFraction y = negative one-fourth x minus one-fourth y = negative one-fourth x minus five-fourths

Answers

Answer:

Your answer is the second option: y= -1/4x + 11/16

Good luck on the test btw I hope u get 100% !!

Answer:

B) y= -1/4x + 11/16

Step-by-step explanation:

I just took the quiz on edge

22 points !!! multiply. express your answer as a fraction simplest form. 8.33 x 144

Answers

Answer:

100

Step-by-step explanation:

Let's convert both numbers into fraction form.

let x=8.33 bar

x=8.33 bar

10x=83.33 bar

9x=75

x=25/3

[tex]\sqrt{144}=12[/tex]

[tex]\frac{25}{3}*\frac{12}{1}=25*4=100[/tex]

The value of 8.33 x ✓144, when expressed as a fraction in its lowest term will be 100.

Since the expression given is 8.33 x ✓144 l, we have to convert them to fraction firstly and this will be:

= 25/3 × √144

= 25/3 × 12/1

= 25 × 4

= 100

Therefore, the value is 100.

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Can I please get help with this?

Answers

[tex]\pi \times d[/tex]

22/7×21.6

=67.88

=70

Cual es el 5% de 6000

Answers

Answer:

Explanation:

I hope you understand this

Si no le entendiste es 300

Using the frequency table below, what is the probability of people that are not boys? 10% 20% 30% 50%

Answers

Answer:

50%

Step-by-step explanation:

Out of the 200 total people, 100 of them are not boys (the only people on this table who are not boys are girls) so the probability is 100 / 200 = 1 / 2 = 50%.

I NEED HELP ASAP! THANKS :)

Answers

Answer:  A) stretched vertically by 2 and shifted up 6 units

Step-by-step explanation:

y = A log(Bx - C) + D    where

A = vertical stretch by a factor of AB = horizontal shrink by a factor of 1/BC = horizontal shift C units (positive = right, negative = left)D = vertical shift D units (positive = up, negative = down)

Given: f(x) = log x

          g(x) = 2 log x + 6

→ A = 2   vertical stretch by a factor of 2

→ D = +6  vertical shift UP 6 units

A recipe for oatmeal cookies calls for 5 cups of flour for every 6 cups of oatmeal. How much flour is needed for a big batch of cookies that uses 18 cups of oatmeal?

Answers

Answer:

15

Step-by-step explanation:

So first you need to find out how many groups of 6 cups of oatmeal there are. So for this just do 18/6=3

So now you should be able to find the amount of flour by doing 5*3=15

The flour is needed for a big batch of cookies that uses 18 cups of oatmeal would be 15 cups.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

In order to find out how many groups of 6 cups of oatmeal there are.

So, For every 6 cups of oatmeal = 18/6=3

Now,

For 5 cups of flour = 5 x 3 = 15

The flour is needed for a big batch of cookies that uses 18 cups of oatmeal would be 15 cups.

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PLEASE HELP WILL GIVE BRAINLIEST IF CORRECT
To support a shelf, the diameter of a bolt can measure anywhere from 0.2 cm less than 1.5 cm to 0.2 cm greater than 1.5 cm. Which graph represents the possible measures of the diameter of the bolt?

Answers

Answer:

Option (1)

Step-by-step explanation:

Diameter of a bolt can measure anywhere from 0.2 cm less than 1.5 to 0.2 cm greater than 1.5 cm.

Let the diameter of the bolt = x cm

Then the value of x will be,

(1.5 - 0.2) cm < x < (1.5 + 0.2) cm

When we plot the possible measures of the diameter of the bolt on a number line,

Measures of x will be between 1.3 cm to 1.7 cm

Option (1) will be the answer.

Answer:

A

Step-by-step explanation:

Its pretty self explainatory, it tells you that the line has to be anywhere from 0.2 cm less than 1.5 cm to 0.2 cm greater than 1.5 cm, so if you look at the graphs A is the only one that maches with what the question in asking.

pls answer. i will mark as branliest

Answers

Answer:

The supplement to 101° is 79° (since 180 - 101 = 79) so that means, using the exterior angle formula, we can write:

x = 38 + 79 which simplifies to x = 117°.

Answer:

117 degrees

Step-by-step explanation:

38* is one inside angle

to find the other you got to find the rest if you do 180-101 you get 79.

all interior angles of a triangle add up to 180 aswell so 38+79=180 so subtract 180 from those 2 added up and you get 63* now that is the right bottom angle but don't forget a line is 180* so now we do 180-65 and you get 117

OK sorry i had it wrong apparently i cant read

Which investment account can be used to save for post-secondary education? traditional IRA, 403(b), flexible spending account (fsa), 529 plan, or 401(k)

Answers

Answer:

529 plan

Step-by-step explanation:

The 529 plan investment account is a type of account used to save for future education purposes and are sponsored by educational institutions and the state. They are of two types, The prepaid tuition plan and the education saving plan. The prepaid tuition plan is used to pay for future tuition fee at present rates while the education saving plan are used to pay for qualified education expenses

Answer:

529 plan

Step-by-step explanation:

A 529 college savings plan works much like a Roth 401(k) or Roth IRAby investing your after-tax contributions in mutual funds, ETFs and other similar investments. Your investment grows on a tax-deferred basis and can be withdrawn tax-free if the money is used to pay for qualified higher education expenses.

Leon has already run 1 mile on his own, and he expects to run 3 miles during each track practice. Write an equation that shows the relationship between the practices p and the distance d.

Answers

Answer:

d = 1 + 3p  

Step-by-step explanation:

Leon already ran 1 miles on his own and he is expected to cover a distance d of 3 miles during each practice. The number of practices is expressed as p and the distance covered is expressed as d.

For every track practice he is expected to cover a distance of 3 miles. Recall he has already cover 1 mile on his own.

Therefore, the relationship between the practices p and the distance d can be expressed as follows.

number of track practice = p

distance covered = d

The distance covered  d in miles is 1 miles plus the number of track practice p multiply by 3

d = 1 + 3p  

If Connie deposits $100 into a savings account with a 3% annual interest rate and doesn't withdraw any of the money for 2 years, what will her balance be at the end of 2 years?

Answers

Answer:

The final amount/ her balance after two years is $106.09

Step-by-step explanation:

We are going to assume that the balance compounds every year

applying the compound interest formula we have

[tex]A= P(1+r)^t[/tex]

where

A, final amount

P, Principal= $100

r, Rate= 3%= 0.03

T, time= 2years

substituting our values into the formula we have

[tex]A= 100(1+0.03)^2\\A=100(1.03)^2\\A=100*1.0609\\A=106.09\\[/tex]

The final amount/ her balance after two years is $106.09

I'll give BRAINLIEST!!

Answers

Answer:3

Step-by-step explanation:

The domain is the input (x) value look for 4 in the domain area and find the value in the range are that the arrow is pointing at.

The answer is 3

Please help me solve number 14 and 15

Answers

Answer:

Step-by-step explanation:

Similarity property,

" If the two triangles are similar then their corresponding sides will be proportional."

14). If ΔPQR ~ ΔUVW,

     [tex]\frac{PQ}{UV}=\frac{QR}{VW}=\frac{PR}{UW}[/tex] [Statement}

     [tex]\frac{15}{10}=\frac{9}{6}=\frac{6}{4}[/tex]

     [tex]\frac{3}{2}=\frac{3}{2}=\frac{3}{2}[/tex]  [True}

Therefore, ΔPQR ~ ΔUVW [Theorem - SSS]

15). If ΔFHE ~ ΔDHG,

     [tex]\frac{EH}{HG}=\frac{HF}{DH}[/tex] [Statement]  

     [tex]\frac{24}{6}=\frac{36}{9}[/tex]

     4 = 4

Therefore, ΔFHE ~ ΔDHG [Theorem - AA]

y=kx and x is doubled what happens to y

Answers

Answer:

see explanation

Step-by-step explanation:

Because the quantities are in proportion

When x doubles then y doubles

The cross-sectional areas of a right triangular prism and a right cylinder are congruent. The right triangular prism has a height of 2 units, and the right cylinder has a height of 6 units. Which conclusion can be made from the given information?

A.) The volume of the triangular prism is half the volume of the cylinder. B.)The volume of the triangular prism is not equal to the volume of the cylinder.
C.)The volume of the triangular prism is twice the volume of the cylinder.
D.) The volume of the triangular prism is equal to the volume of the cylinder.

Answers

Answer:

B.)The volume of the triangular prism is not equal to the volume of the cylinder.

Step-by-step explanation:

Let A be the cross-sectional area of both congruent right triangular prism and right cylinder.

Since the prism has height 2 units, its volume V₁ = 2A.

Since the cylinder has height 6 units, its volume is V₂ = 6A

Dividing V₁/V₂ = 2A/6A =1/3

V₁ = V₂/3.

The volume of the prism is one-third the volume of the cylinder.

So, since the volume of the prism is neither double nor half of the volume of the cylinder nor is it equal to the volume of the cylinder, B is the correct answer.

So, the volume of the triangular prism is not equal to the volume of the cylinder.

Help me real quick plz, will give more points and 5 star rate if right answer is given.

Answers

Step-by-step explanation:

I think D

But I am not sure

sorry unknowingly I typed option A

Answer:

D

Step-by-step explanation:

Select the correct answer. What is the domain of the function represented by this graph?

Answers

Answer:

Doman is the x intercpet range

Step-by-step explanation:

all real numbers is the domain since the function goes on and on forever and will at one point get to 1 billion or trillion or just on and on forever.

The Answer Is:

All Real Numbers


Write an
explicit formula for An, the nth
term of the sequence 22, 17, 12, ....

Answers

Answer:

-5n + 27

Step-by-step explanation:

The difference is -5.

The first term is 22.

Use the formula for nth term.

an = dn + (a - d)

a is the first term.

d is the difference.

an = - 5n + (22 - ( - 5 ))

an = -5n + (22 + 5)

an = -5n + 27

Answer:

27 - 5n.

Step-by-step explanation:

This is arithmetic with common difference = 17 - 22 = -5 (also 12 - 17 = -1).

nth term an = a1 + d(n - 1)

= 22 - 5(n - 1)

Which simplifies to  27 - 5n

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Preliminary marketing and financial analyses provided the following selling price, first-year administrative cost, and first-year advertising cost:Selling Price $284 per unitAdministrative Cost $500,000Advertising Cost $700,000In the simulation model for the PortaCom problem, the preceding values are constants and are referred to as parameters of the model.(a) An engineer on the product development team believes that first-year sales for the new printer will be 18,500 units. Using estimates of $50 per unit for the direct labor cost and $88 per unit for the parts cost, what is the first-year profit using the engineer's sales estimate?(b) The financial analyst on the product development team is more conservative, indicating that parts cost may well be $101 per unit. In addition, the analyst suggests that a sales volume of 9,500 units is more realistic. 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Actual sales of earrings for the last three months and budgeted sales for the next six months follow (in pairs of earrings):January (actual)... 20,800 June (budget)... 50,800February (actual)... 26,800 July (budget)... 30,800March (actual)... 40,800 August (budget ... 28,800April (budget)... 65,800 September (budget) 25,800May (budget)... 100,800The concentration of sales before and during May is due to Mother's Day. Sufficient inventory should be on hand at the end of each month to supply 40% of the earrings sold in the following month.Suppliers are paid $7 for a pair of earrings. One-half of a month's purchases are paid for in the month of purchase; the other half is paid for in the following month. All sales are on credit, with no discount, and payable within 15 days. The company has found, however, that only 20% of a month's sales are collected in the month of sale. 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