PTG has side lengths of 18 cm, 14 cm, and 16 cm. which type of triangle is PTG? right, obtuse, acute, isosceles

Answers

Answer 1

not isosceles cause we need 2 sides to be equal for that now we check to see how the sum of the squares of the legs compares to the hypotenuse squared

a^2+b^2=c^2 we have a right triangle

a^{2} +b^2>c^2 we have an acute triangle

the hypotenuse, c, is the longest side what is the measurement of the hypotenuse and what is the measurement of the 2 legs?

Answer 2

Final answer:

Triangle PTG is an acute triangle because the sum of the squares of the shorter sides (196 + 256 = 452) is greater than the square of the longest side (324). It is not a right or obtuse triangle, nor is it isosceles.

Explanation:

To determine which type of triangle PTG is, we can use the lengths of its sides (18 cm, 14 cm, 16 cm). A well-known method to identify the type of triangle based on side lengths is by using the Pythagorean theorem, which applies to right triangles.

Specifically, the theorem states that for a right triangle with legs 'a' and 'b', and hypotenuse 'c', the relationship a2 + b2 = c2 holds true.

First, we can check if PTG is a right triangle by ordering the sides in ascending order and assigning the longest side as 'c'(18 cm), and the other two as 'a'(14 cm) and 'b'(16 cm). If PTG were a right triangle, we would expect to see that 142 + 162 equals 182.

Let's perform the calculations:

142 = 196

162 = 256

182 = 324

Adding together the squares of the shorter sides, we get:

196 + 256 = 452

Since 452 is not equal to 324 (182), the triangle is not a right triangle. Next, we can determine if PTG is an obtuse or acute triangle. For an obtuse triangle, we should have a2 + b2 < c2, and for an acute triangle, we should have a2 + b2 > c2. Since 452 is greater than 324, PTG is an acute triangle.

Related Questions

Help With Number 8 Please?

Answers

The answer is about 8.14 years :)

Because, ↓

Unit Rate = [tex] \frac{I}{1300 * 0.0425 } [/tex] which is equal to → [tex] \frac{450}{1300 * . 0425} [/tex]

and that's how I found out that my answer is 8.14 years

I = p r t First subtract 1750-1300 to find out how much interest was earned. 450=1300(.0425)t ; solve by multiplying 1300*.0425 then divide 450 by that number. You get approx 8.14 years.

If a satellite launch has a 97% chance of success, what is the probability of three consecutive successful
launches? ...?

Answers

91%

0.97 ^ 3 = 0.91

= 91%

Answer: The required probability of three consecutive successful launches is 91.27%.

Step-by-step explanation: Given that a satellite launch has a 97% chance of success.

We are to find the probability of three consecutive successful launches.

Let P(A) denotes the probability of the event of the success of the satellite launch.

Then, according to the given information, we have

[tex]P(A)=97\%=\dfrac{97}{100}=0.97.[/tex]

Therefore, the probability of three consecutive successful launches will be

[tex]p\\\\=P(A)\times P(A)\times P(A)\\\\=0.97\times0.97\times0.97\\\\=0.912673\\\\=0.912673\times100\%\\\\=91.2673\%\\\\=91.27\%.[/tex]

Thus, the required probability of three consecutive successful launches is 91.27%.

Mr. Shaw graphs the function f(x) = –5x + 2 for his class. The line contains the point (-2, 12). What is the point-slope form of the equation of the line he graphed?

a.) y – 12 = –5(x + 2)
b.) y – 12 = 2(x + 2)
c.) y + 12 = 2(x – 2)
d.) y + 12 = –5(x – 2)

Answers

I hope this helps you

Point slope formula has fallowing shape:
y-y1=m(x-x1)

where x1 and y1 are coordinates of the given point.

in f(x) = -5x + 2 we can see that slope is -5
m = -5

if we exchange all of this in point slope formula we get:

y - 12 = -5(x - (-2)) = -5(x+2

Answer is a)

Chloe rolls two six-sided number cubes and adds the numbers showing on the cubes. What is the probability that the sum of the number cubes is even or five?
A)22/36
B)18/36
C)4-36
D)72/1296

Answers

Answer:

you would be right if you × it then it would be D but you always + so if you do 4/36 + 18/36= 11/18 is your answer

What is the solution to the equation?

5(8 + 7) = 5 • x + 5 • 7

A.
x = 1

B.
x = 5

C.
x = 7

D.
x = 8

Answers

D. X=8 distribute the 5 to the 8 and 7 which is 40 + 35 = 5 times x + 5 times 7 Multiply 5 times x and 5 and 7. Add left side to equal 75. Subtract 35 from both sides. Divide by 5 on both sides. Get x = 8 5(8+7) =5x+35 40+ 35 = 5x + 35 75= 5x +35 40= 5x X=8

Six times the sum of a number and twelve is forty.

Which equation represents this?

6N + 12N = 40
6N + 12 = 40
6(N + 12) = 40

Answers

The last one
6(N+12)= 40

Depends if number twelve is multiplied by six as well. In other words, it depends if the text means:
six times the sum of (a number and twelve) or six times the sum of a number and than plus 12 equal 40.

In first case answer is:
6(N + 12) = 40 and in second
in second:
6N + 12 = 40

Which of the following is not a way to prove a quadrilateral is a parallelogram?

Answers

I think it's the second answer choice.

The way to not prove a quadrilateral is a parallelogram is; Show one set of opposite sides of the quadrilateral is congruent.

Parallelogram and Congruence

A parallelogram is a quadrilateral which has opposite sides to be congruent and parallel as the name implies and hence, opposite angles of the parallelogram are congruent.

However, showing one set of opposite sides of the quadrilateral is congruent is not a confirmatory test for a parallelogram, as it evades the parallel law of opposite sides of the Parallelogram.

Answers

A isnt correct because radius goes from center of circle to any point on circle. Chord on the other hand connects 2 points on circle...

B is also false. Secant goes through circle while tangent only touches it in one point.

C is correct. Chord connects as said before 2 points on circle and in some cases it can connect 2 points in such way that it goes through center which is diameter.

D is not correct because chord doesnt have to pass trought center of circle in order to connect any 2 points on circle.

Simplify (8j3 + 5j2 – 3) – (5j3 + 7j2 – 12j + 7) ...?

Answers

The answer to the problem is:

8j^3 + 5j^2 - 3 - 5j^3 - 7j^2 + 12j - 7

3j^3 - 2j^2 + 12j - 10

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

Answer:

3j^3 - 2j^2 + 12j - 10

Step-by-step explanation:

I took the test and got a 100%

What times what equals 80.73

Answers

80.98498747 is your answer

How are mc091-2.jpg and mc091-3.jpg related?

Answers

check what u wrote cause its not numbers fix it so i can help you

its 1 image and doesnt show anything

Solve. 3x2 + 4x = –5
using quadratic equation ...?

Answers

3x^2 + 4x - 5 = 0
x = [-b ±√(b^2 - 4ac)]/2a

a = 3
b = 4
c = -5

x = [-4 ±√(16 + 60)]/6
x = [-4 ±√76]/6
x = [-4 ±√(2^2 * 19)]/6
x = [-4 ±2√19]/6
x = [-2 ±√19]/3

x = [-2 + √19]/3
x = [-2 + 4.35]/3
x = 2.35/3
x = 0.78 (rounded to the nearest hundredth)

x = [-2 - ±√19]/3
x = [-2 - 4.35]/3
x = -6.35/3
x = -2.12 (rounded to the nearest hundredth)

∴ x = -2.12 , 0.78 (rounded to the nearest hundredth)

What is another way to write 250,000 ml?

Answers

250 Liters; or, 250 L, is another way to write "250,000 mL"
_______________________
(Note that "mL" is another way to write "ml"; or "milliliters".
____________________________
Lengthy explanation:
_________________________________
One other way to write 250,000 mL is to convert that value to "L" (Liters).
_________________________________
Note the exact version: 1000 mL = 1 L
_________________________________
So:
_______________
250,000 mL * ([tex] \frac{1 L}{1000 mL} [/tex] ) = ? L ;
___________________________________________
Note: The "mL" notations "cancel out") ; and we are left with:
_________________________________________________
250,000 mL =
___________________________________
([tex] \frac{250,000}{1000} [/tex] L ;
__________________________________
250,000 ÷ 1000 = ? L
______________________
Take: "250,000" and move back the last 3(three) decimal places:
_____________________________
250,000 ÷ 1000 = 250 L
_____________________________

another way to write it would be 250 liters.

hope this helps you

PLEASE HELP!!
Oscar entered y=−0.4^x+3y=−0.4^x+3 into an online graphing tool.

What function did he graph?

y=(−0.4)x+3y=(−0.4)x+3

y=(−0.4)x+3y=(−0.4)x+3

y=−(0.4)x+3y=−(0.4)x+3

y=−(0.4)x+3

Answers

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
Among the choices provided above the function the Oscar graph is
y=(−0.4)x+3y=(−0.4)x+3

Use the Laplace transform to solve differential equation
dx/dt + 7x = 5cos(2t)
Initial conditions: x(0) = 4, x'(0) = -4
Assume forcing functions are 0 prior to t = 0- ...?

Answers

using Laplace transform we have:L(x')+7L(x) = 5L(cos(2t))sL(x)-x(0) + 7L(x) = 5s/(s^2+4)(s+7)L(x)- 4 = 5s/(s^2+4)(s+7)L(x) = (5s - 4s^2 -16)/(s^2+4)
=> L(x) = -(4s^2 - 5s +16)/(s^2+4)(s+7)
now the boring part, using partial fractions we separate 1/(s^2+4)(s+7) that is:(7-s)/[53(s^2+4)] + 1/53(s+7). So:
L(x)= (1/53)[(-28s^2+4s^3-4s^2+35s-5s^2+5s)/(s^2+4) + (-4s^2+5s-16)/(s+7)]L(x)= (1/53)[(4s^3 -37s^2 +40s)/(s^2+4) + (-4s^2+5s-16)/(s+7)]
denoting T:= L^(-1)and x= (4/53) T(s^3/(s^2+4)) - (37/53)T(s^2/(s^2+4)) +(40/53) T(s^2+4)-(4/53) T(s^2/s+7) +(5/53)T(s/s+7) - (16/53) T(1/s+7)

dy/dx ln(xy)=e^(x+y)

Answers

in(xy) = e^(x+y)

(xy)'/xy = (x+y)' e^(x+y)

(x'y + xy')/xy = (1+y') e^(x+y)

(y + xy')/xy = (1+y')e^(x+y) and simplify

Hope this helps

solve for X. y=1/4 (x)+3

Answers

The answer is:
____________________
x = 4y - 12 ; (Assuming the problem meant to solve for "x"; "in terms of "y").
_______________________
{Otherwise, the question might be "incomplete".}.
______________________________________________
The question seems incomplete; how can we solve for "x" when we do not know what "y" equals?
__________________________
However, it could be possible to "solve for x" in terms of "y". To so this, we need to isolate ""x" on one side of the equation:
_______________________________
Given: y=1/4 (x) + 3 ; Let us multiply the ENTIRE EQUATION (both sides) by "4", to get rid of the "1/4" (fraction coefficent) of "x", and to "cancel out" the "1/4" fraction cofficient of "x" to the implied "1"; to help solve for "x" :
________________________________________
4 *{ y= 1/4 (x) + 3} ;
______________________
4y = x + 12 ; Now we can subtract "12" from EACH SIDE of the equation; to isolate "x" on one side of the equation; and to solve for "x":
_______________________
4y - 12 = x + 12 - 12 ;
________________________
4y - 12 = x ; This is our answer:
___________________________
x = 4y - 12 ; (Assuming the problem meant to solve for "x"; "in terms of "y").

Oscar Montez’s savings account has a principal of $7,201. It earns 6% interest compounded quarterly. What is the amount of interest he earned by the end of the second quarter?

Answers

compounded quarterly means that one quarter of the interest is added to the account each quarter one quarter of 6% is 1.5% x = 7201 (1 + .06/4)^2 ___ .06/4 is the interest per compounding , and 2 is the number of compoundings

Find the missing length. The triangle in each pair are similar.

Answers

The answer is 39.
B/c 27/45=.6
.6*65=39

Answer:

39 UNIT

Step-by-step explanation:

According to similar triangle.

Let's call NG "X"

45/27 = 65/x

X=( 65*27)/45

X= 1755/45

X = 39

An Antique vase is projected to be worth $1000 in 2 years and $1,300 after 5 years. If the value continues to appreciate at the same rate, what will it be worth in 8 years?

Answers

The value of the antique vase after 8 years with a consistent appreciation rate, it would amount to $1,600.

An antique vase:

Value after 2 years: $1,000

Value after 5 years: $1,300

To find the value after 8 years, we can assume a constant rate of appreciation:

In 8 years, the value will be: $1,000 + ($1,300 - $1,000) = $1,300 + ($1,300 - $1,000) = $1,600

Tell whether the sequence is arithmetic. If it is identify the common difference
30. -15,-5,5,15….

Answers

its arithmetic because it adds 1o each time

A surveyor, standing 100 ft. from the base of a building, measures the angle of elevation to the top of the building to be 75 degrees. How accurately must the angle be measured for the percentage error in estimating the height of the building to be less than 4%?

Answers

right well height = 100tan75
= 373.205 Ft

dH/da = 100sec^2(a)

Fractional change in height = dH/H = 0.04

0.04 = 100 sec^2 a da/H
da = 0.04 H / 100 sec^2a
da = 0.01

Hope this helps

If arc CE= 40°, and m∠CDE = 30°, what is arc AB ?

A) 70°
B) 100°
C) 140°
D) 20°

Answers

Based on the given figure above, the correct answer would be option B. The measure of arc AB is 100°. If you try to analyze the image, you can say that it is 100 degrees given that arc CE is 40 degrees. By definition, one measure of an arc is the angle formed by the arc at the center of the circle that it is a part of. Hope this answer helps.

Answer:

B is the right answer [tex]100^{o}[/tex]

Step-by-step explanation: Hope This Helps ;)

A vehicle travels on a highway at a rate of 65 mi/h how long does it take the vehical to travel 25 mi?

Answers

use the velocity formula and solve for time.v=d/t
t=d/v

Substitute your variables and solve.
65 mi/hr = 65 / 3600 mi/second
25 mi / ( 65/3600) = 1384.6 seconds

Answer:

Step-by-step explanation:

A vehicle travels at a rate of 65 m/h, How long does it take the vehicle to travel at 25 miles?

Apply the "distance formula":

d = rt

25 = 65t

25/65 = t

5/13 hour = t

0.385 hour = t

23.08 minutes = t

the function f is defined by f(x)=x2+3x-10
if f(x+5)=x2+kx+30, k=____________(<<

Answers

I hope this helps you

what is the recursive rule for the sequence f(n)=2+(-3)(n-1)?

Answers

this is the answer fn+1-3n

The recursive rule for the sequence f(n) = 2 + (-3)(n-1) is f(1) = 2 and f(n) = f(n-1) - 3 for n > 1, where each term is 3 less than the previous term.

The given sequence can be expressed as a recursive formula. A recursive formula defines each term of a sequence using the preceding term(s). To find the recursive rule for the sequence f(n) = 2 + (-3)(n-1), let's write out the first few terms:

f(1) = 2 + (-3)(1-1) = 2f(2) = 2 + (-3)(2-1) = -1f(3) = 2 + (-3)(3-1) = -4f(4) = 2 + (-3)(4-1) = -7

Examining the pattern, each subsequent term is 3 less than the previous term. Thus, the recursive rule is:

f(1) = 2f(n) = f(n-1) - 3 for n > 1

This means that, to get the next term in the sequence, we subtract 3 from the previous term, starting with the second term.

Kurt johnson delivers packages for a delivery company. he receives $7.50 for every package delivered. what does kurt earn in a week if he delivers 48 packages? 360.00 405.00 555.00 640.00

Answers

y = 7.50x.....y = earnings per week , x = number of packages delivered

48 packages.....so x = 48
y = 7.50(48)
y = 360.....so if he delivers 48 packages, he earns $ 360

Answer:

He earned $ 360.00.

Step-by-step explanation:

Given,

The amount he gets for a package of delivery = $ 7.50

The number of packages he delivered in a week = 48,

Hence, the amount he earned in the week = The amount he gets for a package of delivery × The number of packages he delivered

= 7.50 × 48

= $ 360.00

A percent is the result of a number being expressed as a fraction of 100. True or False? ...?

Answers

A percent is the result of a number being expressed as a fraction of 100 is a true statement.

Answer:

True

Step-by-step explanation:

Percentage is expressed as the part from 100.

Thus, Percentage sign means divide by 100.

Also, it is the resultant number when divided by 100.

Thus, the given statement is absolutely true.

In the image, two circles are centered at A. The circle containing B was dilated to produce the circle containing B′. What is the scale factor of the dilation?

1

2

0.5

-0.5

Answers

Answer:

The diameter of B is from -2 to 2, which = 4 units.

The diameter of B' is from -1 to 1, which equals 2 units.

2/4 = 1/2 = 0.5 scale factor.

The answer is C. 0.5

Step-by-step explanation:

find all the zeros of the function y=x^3+6x^2+x+6

Answers

Final answer:

The zeros of a function are the values of x for which the function equals zero. The function given here is a cubic function, and finding its zeros can be complex, often requiring numerical methods or advanced mathematical approaches like the cubic formula.

Explanation:

This problem deals with finding the zeros of the cubic function y=x^3+6x^2+x+6. A zero of a function is a value of x for which the function equals zero. You can find the zeros of this function by setting the equation equal to zero and solving for x.

Unfortunately, this particular cubic equation does not have an easy solution using basic algebraic methods. We can't factor it in an easy and straightforward manner. However, you can use numerical methods, or online calculator tools, to get an approximate value for the zeros. Alternatively, you can use the cubic formula (somewhat similar to the quadratic formula), but this requires knowledge of more advanced mathematics.

Please consult your teacher or textbook for more detailed instructions on how to use higher level methods to solve cubic equations. Remember that each method has its own level of accuracy and complexity, so choose the method that best suits your abilities and the requirements of your task.

Learn more about Zeros of Function here:

https://brainly.com/question/31654173

#SPJ12

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