Choose the set of three sides that correctly matches each description. Each option will be used only once.

Choose The Set Of Three Sides That Correctly Matches Each Description. Each Option Will Be Used Only

Answers

Answer 1

Answers:

30-60-90 triangle = 4, 8, 4*sqrt(3)45-45-90 triangle = 6, 6, 6*sqrt(2)Right triangle, but not special right triangle =  6, 8, 10Triangle but not a right triangle = 7, 8, 10Not a triangle = 7, 12, 19

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

Explanation:

The template for a 30-60-90 triangle is that the short leg x leads to hypotenuse 2x, and longer leg x*sqrt(3). If x = 4, then we get the sides 4, 8, 4*sqrt(3) which are the short leg, hypotenuse, and long leg in that order.

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The template for a 45-45-90 triangle is that we have x as the leg length and x*sqrt(2) as the hypotenuse. If x = 6, then we end up with the sides 6, 6, 6*sqrt(2)

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The triangle with sides 6, 8, 10 is a right triangle because a = 6, b = 8, c = 10 makes a^2+b^2 = c^2 true. I'm using the converse of the pythagorean theorem. We don't have a special right triangle because these sides do not fit the templates mentioned in the previous two sections above.

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The triangle with sides a = 7, b = 8, c = 10 on the other hand will not make a^2+b^2 = c^2 true. Note that a^2+b^2 = 7^2+8^2 = 113 which is not the same as 10^2 = 100. However, a triangle is possible because adding any two sides leads to a sum larger than the third side (triangle inequality theorem).

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We cannot form a triangle with sides 7, 12, 19 because the sides 7 and 12 add to 7+12 = 19 but that's not longer than the third side 19.

The triangle inequality theorem says that if you want to form a triangle with sides a,b,c then the following three inequalities must all be true

a+b > c

a+c > b

b+c > a


Related Questions

Please help ASAP!!!
By what percent will a fraction decrease if its numerator is decreased by 50% and its denominator is decreased by 25%?

Answers

Answer:

it will decrease by 60% I think

Step-by-step explanation:

Lets use the example 100/100 and do the thing you get 50/125=40%.

Answer:

[tex]33\frac{1}{3}[/tex]%

Step-by-step explanation:

We can use a random fraction with numbers that make this problem easier to calculate. We can start with the fraction [tex]\frac{1}{1}[/tex] (1). If its numerator is decreased by 50% and its denominator is decreased by 25%(75% of it), the new fraction will be [tex]\frac{0.5}{0.75}[/tex] , which is the same as 2/3

The percent decrease from 1 to 2/3 is 33.333....% or [tex]33\frac{1}{3}[/tex]%.

You can use variables to solve this problem, but I find it easier to start with the fraction [tex]\frac{1}{1}[/tex] for calculation purposes.

Select the best name for this figure.
D
AC = BD
B
A. Rectangle
B. Rhombus
C. Square

Answers

Answer:

A

I hope this will help you.

Sixty five students picked up trash on clean up day. Each student filled 5 bags of trash. Which equation could be used to find the total number of trash bags filled

Answers

Answer:

65 x 5 = 325

Step-by-step explanation:

Select all equations that are true!

Answers

I think it is A,C and E
Sorry if it’s wrong I havnt done these in a while. Hope this helps!

A and C are the right equation

What minus 9 equals 11

Answers

Answer:

20

Step-by-step explanation:

20 - 9 = 11

I hope this helps

Answer:

20

Step-by-step explanation:

Call the number you're trying to find  n.

"What" becomes  n.

n - 9 = 11

To "undo" the subtraction and reveal the value of  n ,  ADD 9 to both sides of the equation.  (Addition is the inverse operation of subtraction.)

n = 11 + 9 = 20

a solid cube of side 8cm is dropped into a cylindrical tank of radius 7cm . calculate the rise in the water level if the original depth of water was 9cm

Answers

the answer is 3.3cm

i neeed helpppp asappp!!

Answers

Answer:

2+24+5-9+12-4+7+7-23+56+12+78

The centre circle has a diameter of 3 cm and the difference in the radii of each larger circle is 4 cm. What is the circumference of the yellow circle? Use π=3.14

Answers

Circumference = 2×π× radius

Circumference = 2 × 3.14 × 3

Circumference = 18.84

Solution for the radius of a circle of radius 3 . I'm sorry if I made a mistake, I am not sure of the solution.

But is there a fee for the question?

These two laws can help you in the question:

Circumference = π× diameter of the circle. Circumference = 2×π× radius

The circumference of the yellow circle should be considered as the 18.84.

Calculation of the circumference of the yellow circle:

Since

The centre circle has a diameter of 3 cm and the difference in the radii of each larger circle is 4 cm

So here the circumference be like

= 2×π× radius

= 2 × 3.14 × 3

= 18.84

hence, The circumference of the yellow circle should be considered as the 18.84.

Learn more about circle here: https://brainly.com/question/2031248

What is the tangent ratio of angle yº?

Answers

tan y = 8/6

Explanation:
Tangent = Opposite/Adjacent

Side opposite to y = 8 ft
Side adjacent to y = 6 ft

tan y = 8/6

What is the y-intercept of this line?
A
(3,0)

B
(0,-3)

C
(0,-1)

D
(-1,0)

Answers

Answer:

C. (0,-1)

Step-by-step explanation:

the line passes through the y-axis at the point (0,-1) which makes it the y- intercept.

If y varies directly as x and y =14, when x = 3, find the equation that relates x and y.

Answers

Answer:

y  =

x  =

y  =  14 =  =  14

x  =  3  =  =  3

x  =  =  3

y  =  =  3

Step-by-step explanation:

HELP ASAP PLZZZZ I GIVE BRAINLEST !!!!!


Find the selling price of each item.

Answers

Answer:

b and d

Step-by-step explanation:

Solve the equation. How old is Sam?

Sam's age doubled plus 5 is the same as Sam's age tripled minus 1.

Answers

Answer:

Step-by-step explanation:

let the sam's age be x

2x+5=3x-1

5+1=3x-2x

6=x

therefore sam's age is 6.

Answer:

6

Step-by-step explanation:

let age be = to x

2x + 5 = 3x - 1

-x = -6

x = 6

PLEASE HELP!!! IL MARK BRAINLIEST

Which transformation results in a similar geometric figure rather than a congruent one?
A. Relation
B. Transformation
C. Dilation
D. Rotation

Answers

Answer: C dilation

Step-by-step explanation:

What is the portion if the base is 450 and the rate is 19%

Answers

Answer:

portion = 85.50

Step-by-step explanation:

[tex]Rate = (\frac{Portion}{Base})*100%[/tex]

Rate = 19%, Base = 450

[tex]19 = \frac{portion}{450} \times 100\\\\19 \times 450 = portion \times 100\\\\\frac{8550}{100} = portion \\\\portion = 85.50[/tex]

if a(b)^x-c=d then x=?

Answers

Answer:

a

Step-by-step explanation:

a(b)^x=d+c

a(b)^x ÷ a=d+c ÷a(b)^x=d+c ÷alet d+c÷a =u(b)^x=ulogb^u=xlogb^d+c ÷a=x it really helpfull

Find the surface area of a cone with a radius of 4cm and a slant height of 7cm. Assume π has a value of 3.14

A. 50.3cm^2
B. 88.0cm^2
C. 138.2cm^2
D. 276.5cm^2

Answers

Answer:

138.23cm^2

Step-by-step explanation:

I took an assessment with the same question

I used a calculator for this, and got the answer of C. 138.2cm^2

Need help plz
I will mark brainlist


Express all trigonometry metrics ratio In term tan a​

Answers

Answer:

sinθ=cscθ1 =csc2θ 1 =1+cot2θ 1 =1+tan2θ1 1 =tan2θ1+tan2θ 1 =1+tan2θ tanθ

cosθ=secθ1 =sec2θ 1 =1+tan2θ 1

cotθ=tanθ1

cscθ=csc2θ =1+cot2θ =1+tan2θ1 =tan2θtan2θ+1 =tanθ1+tan2θ

secθ=sec2θ

Help ASAP please !!!!

Answers

Answer:

1) 2 days

2) 11 days

3) may 16

5) 5 days

6) may 29th

Step-by-step explanation:

if someone can, check out my recent questions too please

Find the missing hypotenuse

Answers

Answer:

13

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2} \\12^{2} +5^{2} =c^{2} \\13 = c[/tex]

Answer:

13

Step-by-step explanation:

5 raised 2 = 25

12 raised to 2 = 144

144 + 25 = 169

Square root of 169 = 13

Therefore the hypotenuse is 13 :)

which kind of triangle is shown

Answers

Answer:

scalene triangle

Step-by-step explanation:

Step-by-step explanation:

Scalene Triangle bcoz none of the sides are equal

THE SUM OF A NUMBER, X
AND 9 is 21.
SOLVE FOR X.

Answers

Answer:

X + 9 = 21

Isolate the variable, meaning getting rid of the constants

-9         -9

X = 12

Answer:

12

Step-by-step explanation:

To get the answer 12 you must:

Subtract 21 - 9

That would get you your answer.

A line with a slope of 1 passes through the point (6,2). What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.​

Answers

Answer:

y = x - 4

Step-by-step explanation:

Given:

Passes through (6, 2)

m = 1

Slope-intercept:

y - y1 = m(x - x1)

y - 2 = 1(x - 6)

y - 2 = x - 6

y = x - 4

Find the area. Round any decimals to the nearest tenth

Answers

Answer:

1.4

Step-by-step explanation:

Since we're finding the area, we need to multiply 1.2 times 1.2, which would give us 1.44, and since it says to round to the nearest tenth, we need to round it. If the number is 4 or under, we round down, if it's 5 and up we round up. In this case, we round down- so we end up with 1.4.

Answer:

A = L x 4

1.2cm x 4 = 4.8 cm^3

.................

PELASE HELP ME I NEED HELP
1-Which or the following ratios are equivalent?


2-find this area.


3-what is the area of this trapezoid?

Answers

Answer:

1) 22:14 and 11:7

2) 39m^2

3) 39cm^2

You spin the spinner, flip a coin, then spin the spinner again. Find the probability of spinning an odd number, flipping heads, then spinning another even number.

Answers

Answer:

spinng of an odd number -50%

fliping heads - 50%

spinin an even number- 50%

Step-by-step explanation:

answer quickly please!

- 4(2.5x - 1.25) - 3x

Answers

Answer:

-13x+5

Step-by-step explanation:

Distributive Property

-4 (2.5x) + (-4)(-1.25) - 3x

Multiply 2.5 by -4

- 10x - 4 * 1.25 - 3x

Multiply -4 by 1.25

- 10x + 5 -3x

Subtract 3x from -10x

-13x + 5

Hope this helped!

In Circle P, EP = 2, PG = 12, and FP = 4.
What is the measure of PH?
A) 10
B) 16
C) 6
D) 8

Answers

Answer:

6

Step-by-step explanation:

FP * PH = GP * EP

If  EP = 2, PG = 12, and FP = 4.

Then 4 * PH = 12 * 2

4 * PH = 12 * 2

step 1 simplify

4 * ph = 4PH

12 * 2 = 24

we now have 4PH = 24

step 2 divide each side by 4

4PH / 4 = PH

24 / 4 = 6

we're left with PH = 6

A class of 35 students has 15 honor students and 10 athletes. Five of the honor
students are also athletes. One student is chosen at random. Find the probability that this student is an athlete if it is known that the student is not an honor student.

(Round to the nearest thousandth.)

Answers

Answer:

5/35 both or 14.285%

Step-by-step explanation:

15/35 honor students

10/35 athletes

5/35 both or 14.285%

I could be wrong.

When y is directly proportional to x, the value of y = -2 when x = 4. What is the value of y when x = 8?

Answers

Answer:

y = -4

Step-by-step explanation:

When y is directly proportional to x,

= y ∝ x

= y = kx

Finding k

the value of y = -2 when x = 4

-2 = k4

k = -2/4

k = -1/2

. What is the value of y when x = 8

Finding y

y = kx

y = -1/2 × 8

y = -4

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