Question 16. Use the Triangle Inequality Theorems to determine if a triangle can exist with the given side lengths. (HINT: A triangle with sides a, b and c
exists if and only if the sum of any two sides of the triangle is greater than
the third side.) *
7,16, 6

Answers

Answer 1

Answer:

no

Step-by-step explanation:

7 squared plus 6 squared is 85 while 16 squared is 256


Related Questions

Find the are of the segment

Answers

Answer:

[tex](9\pi - 18)cm^2[/tex]

Step-by-step explanation:

To find the area of this section of the triangle, we will have to find the area of the sector, and then subtract the area of the triangle. To first find the area of the sector of the circle. Remember that the sector of a circle can be found using a proportion of angles. Since there is an angle of 90 degrees in the center. We will take that and divide it by 360 degrees, which is an entire circle. [tex]\frac{90}{360} = \frac{1}{4}[/tex], so the sector is one-quarter of the entire circle. Now find the area of the entire circle which will be [tex]\pi r^{2}[/tex]× [tex]\frac{1}{4}[/tex], where r is 6 since it is the radius of the circle. So therefore the area of the sectore will be a quarter of 36[tex]\pi[/tex], which is 9[tex]\pi[/tex].

Now you must find the area of the triangle with side length 6. Remember, this is an isosceles triangle with sides length of 6 because two of the sides are radii. Also, remember that this is a 90 degree triangle, so the area of the triangle is simply [tex]\frac{6*6}{2}[/tex], which is 18 cm^2.

Now to find the area of just the yellow segment, just take the area of the sector we found, and subtract the area of the triangle. Therefore, the answer is [tex](9\pi - 18)cm^2[/tex]

Hope this helped.

4x² + 3 = -7x
solve for x
x=_,_​

Answers

[tex]\displaystyle\bf 4x^2+3=-7x\\\\4x^2+7x+3=0 \\D=49-48=1 \\\\x_{1;2}=\frac{-7\pm1}{8} => x_1=-1\quad ; \quad x_2=-\frac{3}{4} \\\\\\Answer:\boxed{x_1=-1\quad ; \quad x_2=-\frac{3}{4} }[/tex]

which of the following functions best describes this graph

Answers

Answer:

D

Step-by-step explanation:

when x=2,6 then y=0

when y=12 then x=0

only applies for D

It takes 4 hours for a field to be watered if there are 3 water pipes. How many long would it take for the field to be watered if there were 8 pipes?

Answers

Answer:

1.5 hours

Step-by-step explanation:

Total watering hours

4 * 3 = 12

time needed for 8 pipes

12/8 = 1.5 hours

How many dolls can Julie and Erin make with the amount of black velvet they have? Complete the model to represent the problem.​

Answers

what’s the problem? show a picture of it 15

please please PLEASE help. this is due today!

explaining your answer = brainliest, so that i know your not a spammer

what is the perimeter ? ____ cm

Answers

Answer:

17 cm

Step-by-step explanation:

To find the perimeter of any figure, you must add all the side lengths. In a triangle, there are three side lengths to add, and in this case, they are 3 cm, 6 cm, and 8 cm long. So:

3 + 6 + 8 = 17 cm

∴, the triangle's perimeter is 17 cm.

Answer:

The perimeter is 17 cm

Step-by-step explanation:

The equation of perimeter is: a+b+c

The variables are the sides.

Using this equation, we can tell that:

p=3+8+6

Solve!

p=17

Don't forget to use units of measurement.

Happy learning!

--Applepi101

there are 3 liters of orange juice at a school party. 10 students want to drinkable of the orange juice, and they all want to get exactly the same amount. how much orange juice can each get? help noooowwww

Answers

Answer:

Each student gets 0.3 liters or 300 milliliters of orange juice.

Step-by-step explanation:

3 liters = 3000 milliliters

3L/10 or 3000ml/10 = 0.3 L or 300 ml

Find the height of a triangle with an area (A) of 35 square inches and
base (b) of 7 inches. Use the formula for the area of a triangle,
A = 1/2 bh

Answers

answer

hb=10in

b Base

7

in

A Area

35

in²

Using the formula

A=hbb

2

Solving forhb

hb=2A

b=2·35

7=10in

At a pet store, Rhonda paid $55 for 8 dog bowls and 6 bones. Kelly paid $32.50 for 2 dog bowls and 9 bones. Determine the cost of one dog bowl (x) and one bone (y). Write a system of linear equations that models this situation.
please don't leave a link just answer

Answers

Answer:

y is 8/5 when x = -4.

Step-by-step explanation:

If the value of "Y" varies directly with "X", we can write y = kx, where k is the constant of proportionality.

If "y=-8,when x=20," then we can find k:    -8 = 20k, or k = -2/5.

Then y = (-2/5)x.

If x = -4, then y = (-2/5)(-4) = 8/5

y is 8/5 when x = -4.

∆ABC has coordinates A(3, 1), B(5, 5) and C(4, 1). After a translation, the coordinates of A' are (0,0). What are the coordinates of B' and C'?

Answers

Answer:

B'(2,4) & C'(1,0)

Step-by-step explanation:

According To the Question,

Given, We have an ∆ABC that has coordinates A(3, 1), B(5, 5) and C(4, 1).

Now, After a translation, the coordinates of A' are (0,0) .

Then, the coordinate of B' & C' Also changes the same as like A' .

A(3,1) ⇒ A'(0,0)      {here from x-axis it reduce 3 and from y-axis it reduce 1}

Same as Above,

B(5,5) ⇒ B'(2,4)

&, C(4,1) ⇒ C'(1,0) .

What is the approximate distance between two points with coordinates (3,5) and (-4, -8)? Round your answer to the nearest hundredth.​

Answers

Answer:

15 (rounded) 14.7 (not rounded)

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

use the distance formula

d = √((x2-x1)^2 + (y2-y1)^2)

d = √((-4-3)^2 + (-8-5)^2)

d = √((-7)^2 + (-13)^2)

d = √(49 + 169)

d = √218

d = 14.76 ≅ 15

can someone help with this ASAPP <3, giving brainlist to anyone who answers

Answers

Answer:

1.60x + 1.75y is less than or equal to 10

Step-by-step explanation:

the strawberries cost 1.60

x pounds times 1.60 for the total cost of strawberries

for the raspberries it would be 1.75 times y

total cost or 1.60x + 1.75y must be less than ten or equal to because she can not spend more than that

in the function f(x) is translated 3 units

Answers

Answer: Choice D.   -f(x-3)

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

Explanation:

Imagine that we're able to move the xy grid freely but keep the f(x) curve fixed in place. Now imagine that we move the xy grid 3 units to the left. This would give the illusion the f(x) curve moves 3 units to the right.

If we replace each input x with x-3, then that will effectively move the xy grid 3 units to the left. So that's why f(x-3) is a translation of 3 units to the right.

The negative out front will reflect the curve over the x axis. Points of the form (x,y) become (x,-y). For example, if (1,2) is on the curve then (1,-2) is on the reflected curve.

Putting this all together and it leads us to -f(x-3) which is choice D.

X-3 is the correct answers

My grades depend on this question! Please help! Brainliest will be given out for this!​

Answers

Answer:

2006

Step-by-step explanation:

1 + 2(1027) + 6 + 7 - 8 • 9 + 10

1 + 2054 + 6 + 7 - 72 + 10

2006

What is the value of x in the equation x-ty= 30, when y = 15?
4
8
80
200

Answers

Answer:

2

Step-by-step explanation:

Assuming that you mean x is t, then the answer is 2.

You plug in 15 for y, and you have this: 15t=30

Divided both sides by 15, and you get t = 2

If an relationship is proportional what is the missing value from the table?​

Answers

Answer : 12

Explanation :

In the first row of the table, we find that the -2 is the change, and in the third row -6 is the change.

Using this, we can find that the second row should have -4 subtracted from 16.

We know this because from looking at the changes from the first and second row, the differences multiply by two, as the rows increase. So -2 multiplied by 2 is -4, and 16 subtract 4 is 12.

2^5×8^4/16=2^5×(2^a)4/2^4=2^5×2^b/2^4=2^c
A=
B=
C=
Please I'm gonna fail math

Answers

9514 1404 393

Answer:

  a = 3, b = 12, c = 13

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c)

  (a^b)^c = a^(bc)

___

You seem to have ...

  [tex]\dfrac{2^5\times8^4}{16}=\dfrac{2^5\times(2^3)^4}{2^4}\qquad (a=3)\\\\=\dfrac{2^5\times2^{3\cdot4}}{2^4}=\dfrac{2^5\times2^{12}}{2^4}\qquad (b=12)\\\\=2^{5+12-4}=2^{13}\qquad(c=13)[/tex]

_____

Additional comment

I find it easy to remember the rules of exponents by remembering that an exponent signifies repeated multiplication. It tells you how many times the base is a factor in the product.

  [tex]2\cdot2\cdot2 = 2^3\qquad\text{2 is a factor 3 times}[/tex]

Multiplication increases the number of times the base is a factor.

  [tex](2\cdot2\cdot2)\times(2\cdot2)=(2\cdot2\cdot2\cdot2\cdot2)\\\\2^3\times2^2=2^{3+2}=2^5[/tex]

Similarly, division cancels factors from numerator and denominator, so decreases the number of times the base is a factor.

  [tex]\dfrac{(2\cdot2\cdot2)}{(2\cdot2)}=2\\\\\dfrac{2^3}{2^2}=2^{3-2}=2^1[/tex]

What is the product?

(2y +3)(3y^2+ 4y +5)

Answers

Answer:

6y^3 + 17y^2 +22y + 15

Step-by-step explanation:

Multiply each term in the first expression by each term in the second expression and combine like terms.

The question's attached in the file; I tried solving it in 4 different ways and ended up confusing myself more and more each time.

Answers

(x+3)² = (16+x-3) (x-3)

x²+6x+9=(x+13)(x-3)

x²+6x+9=x²+10x-39

6x-10x=-39-9

-4x=-48

x = 12

=> NM = 12+3 = 15

The clock has a diameter of 22 inches. What is the circumference of the clock?

Answers

Answer:

The circumference is 44

Answer:

34.56

Step-by-step explanation:

C = 2πr = 2 · π · 5.5 ≈ 34.55752

Help me please !!!!!!!!!!!!!!

Answers

Answer:

Your answer is y=3/5x +1  

Step-by-step explanation:

Just do rise over run you go up 3 across 5

it’s just rose over run bro easy

In a fundraising event for every $3 by basketball players the football players raised $2.50 if the basket ball players use $6 what will the football players raise?

Answers

Answer: $5

Step-by-step explanation:

For every $3 raised by basketball players, football players would raise $2.50.

If basketball players raised $6 therefore, we can use direct proportion to find out what football players raised:

3      :        2.50

6      :           x

Cross multiply:

3x = 15

x = 15 / 3

x = 5

Football players raised $5.

help please! the question is in the picture below for reference when answering! thank you so much!

Answers

Answer:

(a, 0) I give 50% credit to the answer in the comments

Step-by-step explanation:

Because it is isosceles, we must have the same y distance, (a) as an x distance

So we must have (a) in the x coordinate

The correct option is number 2

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Simplify the expression 3(9+4x−5).

ill give brainlist

Answers

12x+12 step by step below

please help!!
find x

Answers

The square shows it’s a 90 degree angle so
X = 90 - 32
X = 58 degrees

Answer:

since the square indicates the angle is a right angle ( 90 ° )

then x = 90 - 32

x = 58 °

justin surveyed his freibds about how mant pets they have use the data in the table to find the median mode and range

Answers

Answer:

where is the data from the table?

How many kittens weigh at least 3/8 of a pound please help fast

Answers

if you count the number of x’s above 3/8 you should see 3, so the answer would be 3.

PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!!

Answers

Answer:

Step-by-step explanation:

x+y=94 degree(sum of two interior opposite angles is equal to the exterior angle formed)

 let third angle be y because the base of an isosceles triangle are always equal.

y+x+y=180 degree (sum of interior angles of a triangle)

y+94=180

y=180-94

y=86 degree

for angle x

substitute the value of x

x+y=94

x+86=94

x=8 degree

Add the following complex numbers:
(4-2i) + (12 + 7i)
O A. -8 + 9i
O B. 16 + 9i
O C. 16 + 5i
O D. -8 + 5i

Answers

Answer:

option c

Step-by-step explanation:

(4 - 2i) + (12 + 7i)

multiply the brackets first

4 - 2i + 12 + 7i

combine like terms

16 + 5i

Answer:

O C. 16+5i

Step-by-step explanation:

=(4+12) + (7i-2i)

=16+5i

pls help me ill give brainliest and no links ty!<3:)

Answers

T is the midpoint of PQ

PT=TQ

5x+7 = 7x-7

2x= 14

x= 14/2

x= 7

PT = 5(7)+7 = 42

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