triangle ABC has side lengths 8 inches, 17 inches, and 15 inches. Sofia uses the following steps to conclude that triangle ABC is not a right triangle.
[tex]a^{2} +b^{2} =c^{2} \\8^{2} +17^{2} =15^{2} \\64+289=225\\353\neq 225[/tex]

What mistake did Sofia make?

A Sofia made a calculation error.
B Sofia used the length of one of the legs as c when she should have used the length of the longest side as c.
C Sofia does not know if triangle ABC is a right triangle, so she cannot use the Pythagorean Theorem or its converse.
D Sofia’s conclusion is incorrect. When the sides of a triangle do not satisfy a2+b2=c2, you cannot conclude that the triangle is a right triangle.

Answer:

No, because 2 variables vary directly only if: a = k x b OR b = k x a, being "k" the constant

Step-by-step explanation:

See above

Answer:

[tex](a)\ 1.94 * 10 ^{-5},\ \ 1.25 *10 ^{-2},\ \ 6 *10 ^{4},\ \ 8.1 *10^{4}[/tex]

Step-by-step explanation:

Given

[tex](a)\ 1.94 * 10 ^{-5},\ \ 1.25 *10 ^{-2},\ \ 6 *10 ^{4},\ \ 8.1 *10^{4}[/tex]

[tex](b)\ 1.94 * 10 ^{-5},\ \ 6 * 10^4, \ \ 8.1 *10^{4},\ \ 1.25 *10 ^{-2}[/tex]

[tex](c)\ 1.94 * 10 ^{-5}, \ \ 8.1 *10^{4},\ \ 6 * 10^4,\ \ 1.25 *10 ^{-2}[/tex]

[tex](d)\ 1.94 * 10 ^{-5},\ \ 1.25 *10 ^{-2}, \ \ 8.1 *10^{4},\ \ 6 * 10^4[/tex]

Required

Which list is in ascending order

To do this, we analyze each of the options 1 after the other.

[tex](a)\ 1.94 * 10 ^{-5},\ \ 1.25 *10 ^{-2},\ \ 6 *10 ^{4},\ \ 8.1 *10^{4}[/tex]

Convert each list item to decimal

[tex]1.94 * 10 ^-5 = 0.0000194[/tex]

[tex]1.25 *10 ^-2 = 0.0125[/tex]

[tex]6 *10^{4} = 60000[/tex]

[tex]8.1 *10^{4} = 81000[/tex]

The list is in ascending order because:

[tex]0.0000194 < 0.0125 < 60000 < 81000[/tex]

No need to test other options

Answer:

6 TIMES LARGER

Step-by-step explanation:

4 by 5.5 which is 22 and 24 by 5.5 which is 132 divide 132 by 22 to get your answer

Answer:6 time larger

Step-by-step explanation:

Answer:

11.17 ft

Step-by-step explanation:

Since the swing hangs from a beam 10 feet high with the seat hanging 2 feet above the ground, the swing moves in an arc of radius r = 10 ft - 2 ft = 8 ft.

Now, since the swing moves back and forth from -130° to -50° to the horizontal, the length of arc L it moves in is given by

L = Δθ/360 × 2πr where  Δθ = change in angle of the swing = θ₂ - θ₁ where θ₁ =  -50° and θ₂ = -130°. So, Δθ = θ₂ - θ₁ = -130° -(-50°) = -130° + 50° = -80°.

Substituting r and  Δθ into L, we have

L = -80°/360° × 2π(8 ft)

= -8/36 × 16π ft

=  -32π/9 ft

= -100.53/9 ft

= -11.17 ft

Ignoring the negative sign, the length of arc L = 11.17 ft. So, the swing moves back and forth 11.17 ft

Answer:

[tex]\Huge\boxed{x=53}[/tex]

Step-by-step explanation:

Hello There!

Once again we need to use trigonometry to solve for X

Here are the Trigonometric Ratios:

Sin = Opposite divided by hypotenuse

Cos = adjacent divided by hypotenuse

Tan = Opposite divided by adjacent

We are given the adjacent side of x (45) and the hypotenuse (75) so we need to use cos

Remember cos = adjacent divided by hypotenuse

Now we create an equation

[tex]cos(x)=\frac{45}{75}\\\frac{45}{75} =.6[/tex]

now we have

[tex]cos(x)=.6[/tex]

like always we want to get rid of cos

to do so we take the inverse of cos (arccos^-1) and apply that to each side

[tex]arccos^-^1(cos(x))=x\\arccos^-^1(.6)=53.13010235[/tex]

finally we round to the nearest degree

we're left with x = 53

factor 3 out of 18k+3.

3(6k+1)

Answer:

x= -2

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

Answer:

QFQF

Step-by-step explanation:

FAFAF

Answer:

Yes, the same answer is obtained.

Step-by-step explanation:

According to Mr. Carlevato, [tex]2(2x+3)[/tex] is equal to [tex]4x+6[/tex]. However, [tex]2(2x+3)[/tex] is not equal to [tex]4x+6[/tex] according to Mr. Burrows.

Put [tex]x=5[/tex] in [tex]2(2x+3)[/tex]

[tex]2[2(5)+3]=2(10+3)=2(13)=26[/tex]

Put [tex]x=5[/tex] in [tex]4x+6[/tex]

[tex]4x+6=4(5)+6=20+6=26[/tex]

Therefore,

[tex]2(2x+3)=4x+6[/tex]

Yes, the same answer is obtained.

Answer:

Any solid substance that can be consumed by living organisms, especially by eating , in order to sustain life is food.

Step-by-step explanation:

Answer:

Two adult tickets and 5 student tickets

Step-by-step explanation:

Let a=adult tickets   Let s=student tickets

You know that each adult ticket is $9.10 and each student ticket cost $7.75. At the end, it cost $56.95 for both students and adults so the first equation should be 9.10a+7.75s=56.95. To get the second equation, you know that Mrs. Williams purchased 7 tickets in total that were both students and adults. Therefore, the second equation should be a+s=7. The two equations are 9.10a+7.75s=56.95

a+s=7.

Now, use substitution to solve this. I will isolate s from this equation so the new equation should be s=-a+7. Plug in this equation to the other equation, it will look like this 9.10a+7.75(-a+7)=56.95. Simplify this to get 9.10a-7.75a+54.25=56.95. Simplify this again and the equation will become 1.35a=2.70. Then divide 1.35 by each side to get a=2. This Mrs. Williams bought two adult tickets. Plug in 2 into a+s=7, it will look like this (2)+s=7. Simplify this and get s=5. This means Mrs. Williams bought five adult tickets. Therefore she bought 2 adult tickets and 5 student tickets.

Hope this helps

Answer:

Sin p=Cos v

Cos k=Sin r

Step-by-step explanation:

The sine of an angle is equal to the cosine of its complement.

The cosine of an angle is equal to the sine of its complement.

Answer:

(2,-2)

Step-by-step explanation:

Answer: P (ringers)

Step-by-step explanation:

This probability is simplified from 4/10 to 2/5

Since he got 4 ringers out of 10 attempts

we can tell that this probability stands for Ringers

Answer:

5mm

Step-by-step explanation:

Answer:

675 [tex]ft^2[/tex]

Step-by-step explanation:

The radius is 15, so replace r in the formula with 15

[tex]A=\pi 15^2[/tex]

A = 225 pi

A = 675

(using 3 for pi, since they specified)

Answer: 675

Step-by-step explanation:

Answer:

19 miles

Step-by-step explanation:

Given that :

Shape of route is rectangular :

Length of route = 5.5 miles

Width of route = 4 miles

Distance of one complete trip = perimeter of the rectangular route :

Perimeter of a rectangle :

P = 2(length + Width)

P = 2(5.5 + 4)

P = 2(9.5)

P = 19 miles

Hence one complete trip is 19 miles long.

Answer:

diameter = 6.28 yards

Step-by-step explanation:

2 x 3.14 = 6.28

Answer:

what am i sopposed to do?

Step-by-step explanation:

Answer:

I think x is 60 and y is 50.

Step-by-step explanation:

70 + 50 = 120

180 - 120 = 60

x = 60

50 + 50 = 100

70 + 60 = 130

130 + 100 = 230

230 - 180 = 50

y = 50

I hope this helps u! :D

Answer:

x=60 y=50

Step-by-step explanation:

180 is equal to the whole triangle so 50+70=120 and 180-120= 60

the other triangle has a missing value by doing the same thing before we can figure out that the missing value is 70. 70+x which is 60 equals 130. A straight line is equal to 180 so 180-130= 50.

Hope I could help!

Answer:

I would say its 640 seconds sorry if I'm wrong

Answer:

The order is :

1. Ruth

2. Alice

3. Debra

4 Lisa

Step-by-step explanation:

I hope that is useful for you :)

Answer:

86.625 in³

Steps:

V = 5.5 × 4.5 × 3.5

V = 86.625 in³

Answer:

there is nothing to select. u need to provide more info