Which of the following equations is used to find the value of c?

Which Of The Following Equations Is Used To Find The Value Of C?

Answers

Answer 1

Answer:

D. [tex]a^{2} + b^{2} = c^{2}[/tex]

Step-by-step explanation:

Pythagorean Theorem

Answer 2
a squared plus b squared equals c squared (d) . This formula is used to find a specific side of a triangle.

Related Questions

i need help with this!!!!

Answers

Answer:

Tomas

Step-by-step explanation:

Divide Distance by Time

[tex]\frac{distance}{time}[/tex] = speed

Answer:

Tomas is the fastest

Step-by-step explanation:

To find out who is the fastest, divide the distance by the time to get the unit rate. (The amount they drove each hour.)

Maren: 60 / 1 = 60

Safiya: 120 / 3 = 40

Tomas: 84 / 1.2 = 70

Cam: 75 / 1.5 = 50

Tomas has the largest unit rate therefore he is  the fastest.

Solve for X.

-8x - 4(x - 4) = 88

Please show work

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]\huge x=-6[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x'...}}\\\\-8x-4(x-4)=88\\-------------\\\rightarrow -8x-4x+16=88\\\\\rightarrow -12x + 16 = 88\\\\\rightarrow -12x + 16 - 16 = 88 - 16\\\\\rightarrow -12x = 72\\\\\rightarrow \frac{-12x=72}{12}\\\\\rightarrow \boxed{x=-6}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer: x = -6

Step-by-step explanation: Start by changing the - 4 to plus a negative 4 so that you know you're distributing a -4 through the parentheses.

So we have -8x - 4x + 16 = 88.

Simplifying the left side further gives us -12x + 16 = 88.

Now subtract 16 from both sides to get -12x = 72.

From here it should be easy to find the x = -6.

Domain and rang of these

Answers

Answer:

Domain: {-3, -1, 1}

Range: {-1, 2, 4, 5}

Step-by-step explanation:

The domain is all the x-values, and the range is all the y-values. When listing values, repeated values are only written down once.

What are the solutions to X2 + 8X + 7 = 0?

Answers

Answer:

x = - 7, x = - 1

Step-by-step explanation:

Given

x² + 8x + 7 = 0

Consider the factors of the constant term (+ 7) which sum to give the coefficient of the x- term (+ 8)

The factors are + 7 and + 1 , since

7 × 1 = 7 and 7 + 1 = 8 , then

(x + 7)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x + 1 = 0 ⇒ x = - 1

Answer:

[tex]x=-1,-7[/tex]

Step-by-step explanation:

[tex]x^2+8x+7=0[/tex] where a [tex]\neq[/tex] 0 so a = 1 b = 8 c = 7

Quadratic Formula: [tex]x=-b\frac{\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=-8\frac{\sqrt{8^2-4(1)(7)} }{2(1)}[/tex]

[tex]x=-8\frac{\sqrt{64-28} }{2}[/tex]     Evaluate the exponent and multiply 4ac

[tex]x=-8\frac{\sqrt{36} }{2}[/tex]          Subtract b^2 - 4ac and multiply 2a

[tex]x=-8\frac{\sqrt{6} }{2}[/tex]           Solve for the sqrt root of 35

x = - 8 ± 6/2 =

x = - 8 + 6/2 = -1

x = - 8 - 6/2 = -7

Tomaz realized that the tip of a second hand on a clock rotates about the center of the clock. He watched the second hand rotate around the center of the clock for 15 seconds. Which describes the rotation he observed?
270 degrees clockwise rotation
90 degrees clockwise rotation
180 degrees rotation
90 degrees counterclockwise rotation

Answers

Answer:

Step-by-step explanation:

Second hand on a clock rotates at rate 360 degrees per 60 seconds.

360 degrees - 60 sec

x degrees - 15 sec

90 clockwise rotation (none hand of a clock rotates counter-clockwise :))

Answer:

90 degrees clockwise rotation

Step-by-step explanation:

One circle has a circumference of 12π cm. Another circle has a circumference of 32π cm. What is the ratio of the radius of the smaller circle to the radius of the larger circle?
Options:
A: 3:8
B: 8:3
C: 1:3
D: 3:1

Answers

3:8

The ratio of small circle

12:32

If we divide both of them by 4 we get 3:8

AB is tangent to circle C. Find the value of r. Please answer Asap

Answers

Answer:

3

Step-by-step explanation:

a tangent to a circle makes right angle with the radius at that point ( here the point is B)

thus,

ABC is a right angled triangle

AC being the hypotenuse AB being the adjacentBC being the opposite

By Pythagoras theorem :-

By Pythagoras theorem :-AC² = AB² + BC²

(r + 2)² = 4² + r²

r² + 4 + 4r = 16 + r²

subtracting r² from both sides and taking 4 common

4(1 + r) = 16

diving both sides by 4

1 + r = 4

r = 3 units

The value of r is,

⇒ r = 3 units

What is Pythagoras theorem?

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

Given that;

AB is tangent to circle C.

Now,

By Pythagoras theorem, we get:-

AC² = AB² + BC²

(r + 2)² = 4² + r²

r² + 4 + 4r = 16 + r²

subtracting r² from both sides and taking 4 common

4(1 + r) = 16

diving both sides by 4

1 + r = 4

r = 3 units

Thus, The value of r is,

⇒ r = 3 units

Learn more about the Pythagoras theorem visit:

https://brainly.com/question/343682

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How many triangles are there in the picture?

Answers

five I think I am not sure

The graph of F(x) can be compressed vertically and shifted to the right to produce the graph of G(x) . If F(x) = x ^ 3 , which of the following could be the equation of G(x) ?

Answers

Given:

The function is:

[tex]F(x)=x^3[/tex]

To find:

The function G(x) if the graph of F(x) can be compressed vertically and shifted to the right to produce the graph of G(x).

Solution:

The transformation is defined as

[tex]g(x)=kf(x+a)+b[/tex]                .... (i)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

It is given that F(x) can be compressed vertically and shifted to the right to produce the graph of G(x). So, the value of k must be lies between 0 and 1, and a<0.

In option A, [tex]0<k<1[/tex] and [tex]a<0[/tex]. So, this option is correct.

In option B, [tex]0<k<1[/tex] and [tex]a>0[/tex]. So, this option is incorrect.

In option C, [tex]k>1[/tex] and [tex]a>0[/tex]. So, this option is incorrect.

In option D, [tex]k>1[/tex] and [tex]a<0[/tex]. So, this option is incorrect.

Therefore, the correct option is A.

SOMEONE PLEASE HELP ME I'M STUCK

Answers

Answer:

57%

Step-by-step explanation:

200+245+125 = 570

570/1000 = .57

Answer:

57%

Step-by-step explanation:

First find the total number of families in the sample.

Total = 350 + 200 + 245 + 125 + 66 + 10 + 4

Total = 1000

Next find the number of families that have 3, 4 or 5 people.

Total(3,4 or 5) = 200 + 245 + 125

Total(3,4 or 5) = 570

Now the % = (Total 3,4 or 5) / Total ) * 100

% = 570 / 1000 * 100

% = 57%

Help me please!!! Thanks

Answers

Answer:

Cylinder H has the greater volume.

Step-by-step explanation:

Recall that the volume of a cylinder is given by:

[tex]\displaystyle V=\pi r^2h[/tex]

Where r is the radius and h is the height.

Cylinder H has a radius of 4.5 meters and a height of 3 meters. Thus, its volume is:

[tex]\displaystyle \begin{aligned} V&=\pi(4.5)^2(3)\\&=60.75\pi \\&\approx190.8518\text{ m}^3\end{aligned}[/tex]

Cylinder J has a diameter of 7 meters and a height of 4.5 meters. The radius is half the diameter, so Cylinder J's radius is 3.5 meters. Thus, its volume is:

[tex]\displaystyle \begin{aligned}V&=\pi(3.5)^2(4.5)\\&=55.125\pi \\&\approx 173.1803\text{ m}^3\end{aligned}[/tex]

Thus, Cylinder H has the greater volume.

Determine whether the sequence is arithmetic or geometric. Sequence 1: –10, 20, – 40, 80, ... Sequence 2: 15, – 5, – 25, – 45, ... Which of the following statements are true regarding Sequence 1 and Sequence 2.

Answers

Answer:

Step-by-step explanation:

1,

-10,20,-40,80,...

common ratio=20/-10=-2

it is a geometric sequence.

2.

15,-5,-25,-45

common difference=-5-15=-20

it is an arithmetic sequence.

How to Evaluate9^ 1/2
Lesson name- Algebra​

Answers

Answer:

ayan po answer nasa picture

Answer:

3

Step-by-step explanation:

9½=√9=3

ie. a number to the power of ½ is the same as the square root of the number

SOMEONE PLEASE HELP MEEEEEEE PLZZZZZZZZZZ!!!!!!!

Answers

Answer:

possibility of yellow÷ total possibilities

1÷8

1/8

Step-by-step explanation:

hope this is helpful

Joshua is 1.45 meters tall. At 2 p.m., he measures the length of a tree's shadow to be 31.65 meters. He stands 26.2 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter .

Answers

Answer:

8.42

Step-by-step explanation:

* means multiply

31.65/5.45 = x/1.45

5.45x = 31.65 * 1.45

5.45x = 45.8925

x = 45.8925/5.45

x = 8.42064220183


which statement is correct?

Answers

Answer:

Option 3 is correct

tex]\frac{1yd}{36 in}=\frac{7yd}{252 in}[/tex]

Step-by-step explanation:

1.[tex]\frac{1 in}{2.54 cm}=\frac{7 in}{17.68 cm}[/tex]

1 in=2.54 cm

[tex]7 in=2.54\times 7=17.78 cm[/tex]

[tex]\frac{1 in}{2.54 cm}=\frac{1 in}{1 in}=1[/tex]

[tex]\frac{1 in}{2.54 cm}\neq \frac{7 in}{17.68 cm}[/tex]

Hence, it is not correct.

2.[tex]\frac{1 ft}{12 in}=\frac{7ft}{74 in}[/tex]

1 foot=1 2in

[tex] 7ft=7\times 12=84 foot[/tex]

[tex]\frac{1 ft}{12 in}=1[/tex]

[tex]\frac{7ft}{74 in}\neq 1[/tex]

[tex]\implies \frac{1 ft}{12 in}\neq \frac{7ft}{74 in}[/tex]

Hence, it is not correct.

3.[tex]\frac{1yd}{36 in}=\frac{7yd}{252 in}[/tex]

1 yd=36 in

[tex]\frac{1yd}{36 in}=\frac{36}{36}=1[/tex]

[tex]7yd=7\times 36=252 in[/tex]

[tex]\frac{7yd}{252 in}=\frac{252 in}{252 in}=1[/tex]

[tex]\implies \frac{1yd}{36 in}=\frac{7yd}{252 in}[/tex]

Hence, it is correct.

4.[tex]\frac{1 m}{3.28ft}=\frac{7m}{22.86ft}[/tex]

1 m=3.28 ft

[tex]\frac{1 m}{3.28ft}=\frac{3.28}{3.28}=1[/tex]

[tex]7m=7\times 3.28=22.96 ft[/tex]

[tex]\frac{7m}{22.86ft}\neq 1[/tex]

[tex]\frac{1 m}{3.28ft}\neq \frac{7m}{22.86ft}[/tex]

Hence, option is not correct.

Suppose a triangle has sides a, b, and c, and that a2 + b2 > c2. Let 0/ be the
measure of the angle opposite the side of length c. Which of the following
must be true? Check all that apply.
A. 0/ is an acute angle.

B. cos 0/ > 0

C. The triangle is a right triangle.

D. The triangle is not a right triangle.

Answers

Hello,

Answer A

Indeed:

[tex]c^2=c^2+b^2-2ab*cos(\theta) < a^2+b^2\\\\-cos(\theta)<0\\\\cos(\theta)>0\ \Longrightarrow \theta < 90^o[/tex]

True statements are:

A.  [tex]\theta[/tex] is an acute angle.

C. The triangle is a right triangle.

D. The triangle is not a right triangle.

What is angle?

An angle is a combination of two rays (half-lines) with a common endpoint.

Given:

a² + b² > c²

as, the triangle with sides a, b and c.

If this is a right triangle, then the condition a² + b² > c² apply.

Using cosine law.

angle> 90 degrees which is an obtuse angle.

Also, cos [tex]\theta[/tex] is negative.

Hence, the conditions that are true are A, C and D.

Learn more about this concept here:

https://brainly.com/question/1619127

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Read the following excerpt from a personal narrative essay. Based on the excerpt, what did the writer learn from her personal experience?

Have you ever been canoeing? I went on a canoeing trip with my mom, dad, and two brothers when I turned 13. It was one of the best days of my life. It was exciting, scary, and challenging all at once. At first I couldn’t believe those long, narrow pieces of wood could hold all five of us. But our instructor told us that canoes have been around for many years. He also told us some interesting facts about the history of canoe, like how American Indians used canoes as a way to travel quickly.

He patted the wood of the canoe we would be using. “It’s made of an old tree trunk,” he said.

I asked the question that had been bothering me ever since I saw our canoe. “Can it really hold all of us?” I pointed to my brothers and me. “It looks like the bottom could fall right off.”

The instructor laughed. “Oh, you’ll be surprised how strong this wood is. If our customers were always drowning, we’d have a 'sinking' business on our hands.”

He laughed some more at his own joke. Then he became serious and showed us how to keep our balance while getting into and out of the boat. He also showed me how to grip the paddle so that my left hand would guide the boat and my right hand would give the paddle power.

A.
Canoeing is dangerous, and only people who are experts can do it.
B.
Even events that seem a little scary can turn out to be great.
C.
The best age to go on a canoeing trip is 13.
D.
Canoeing can cause injury if you’re new to the sport.

Answers

The best answer is b

Evaluate the question in the photo attached please. ASAP

Answers

The answer is 29 I think
The answer is 29

——————————

Explanation:

X^2 = 4^2 when we replace x with 4, 4^2 is 16

And 3x = 3*4 which makes 12

We can then add these sums together to get 28

28 - 7 = 21 and 21 + 8 = 29


Hope this helps, have a great day

What are the center and radius of the circle defined by the equation (x -2)squared + (y + 3) squared equals 16

Answers

Answer:

Center (h, k) = 2 and -3

Radius = 4

Step-by-step explanation:

Given the mathematical expression;

(x - 2)² + (y + 3)² = 16  ......equation 1.

The general equation for a circle is given by the formula;

x² + y² + 2hx + 2ky + c = 0 ......equation 2.

Where the center is C(-h, -k)

Similarly, the standard form of the equation of a circle is;

(x - h)² + (y - k)² = r² ......equation 3.

Where;

h and k represents the coordinates of the centre.r represents the radius of the circle.

Comparing equation 1 and equation 3, we have;

The center of the circle, C(h, k) are 2 and -3

Radius = √16 = 4

Cans of soda at a local store a six-pack of soda costs $2.59 and indivdual cans cost $0.80. What is the maximum of cans of soda that can be purchased for $15​

Answers

Answer:  30 cans (buy them by the six-pack; so you'd buy 5 six-packs)

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

Explanation:

Let's say you buy six-packs only. Divide the amount of money you have over the cost per six-pack.

15/(2.59) = 5.7915 which rounds down to 5.

If you buy six-packs only, then you can buy a max of 5 of them. That gets you 5*6 = 30 cans of soda.

-------------

Now let's say you buy individual cans only. We'll use the same idea mentioned earlier but this time divide over 0.80

15/(0.80) = 18.75 which rounds down to 18

We round down because we can't buy that 19th can of soda (note how 19*0.80 = 15.2 which is larger than 15).

So if you buy individual cans only, then you can get a max of 18 cans.

We see that it's better to go with the six-pack option (in the first section) since we can get 30 cans compared to 18 cans.

The combined mass of two children is 75lbs. The first child is four times the mass of the second child. What are the masses of the two children?

Answers

The second child is about 19lbsif you want to round it otherwise it's 18 something lbs, so the first child is about... 57.
first child would be 60 lb and the second is 15

Can someone help me with this math homework please!

Answers

Answer:i dont know

Step-by-step explanation:

If you vertically compress the absolute value parent function, (x) = |X|, by a
factor of 4, what is the equation of the new function?
O A. g(x) = |4x|
O B. g(x) = 1/4 |x|
O C. g(x) = 4|x|
O D. g(x) = |x-4|

Answers

pls mark me as brainlist

thanks a lot


If f(x) = 2x + 1 and g(x) = x2 + 5,
what is g(f(2))?

Answers

Answer:

30 if that is an [tex]x^{2}[/tex] in g(x)

Step-by-step explanation:

f(2) = 2x + 1

      = 2(2) + 1

      = 4 + 1

f(2) = 5      

g(5) = [tex]x^{2}[/tex] + 5

      = [tex]5^{2}[/tex] + 5

      = 25 + 5

g(5) = 30

Answer: 30

Step-by-step explanation:

First find f(2)

f(2) = 2(2) + 1 = 4 + 1 = 5

Therefore g(f(2)) = g(5)

Now solve for g(5)

g(5) = (5)² + 5 = 25 + 5 = 30

does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?​

Answers

Given equation of the Circle is ,

[tex]\sf\implies x^2 + y^2 = 25 [/tex]

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle .

A swimmer can swim 50.2 meters in 1 minute. How far can he swim in half an hour? *

Answers

Answer:

1506meters

Step-by-step explanation:

1hour-60minutes

which means half an hour is 30minutes,so it's more like they are asking you to find how far the swimmer can swim in 30minutes

50.2-1min

x -30min

x=50.2×30

x=1506meters

1 hour - 60 mins
Half an hour - 60 x 1/2 = 30

30 minutes = 30 x 50.2 = 1506 metres

what is the value of b?

Answers

Answer: The b-value is the middle number, the number next to the X

At maximum speed, an airplane travels
1680 miles against the wind in 5 hours.
Flying with the wind. the plane can
travel the same distance in 4 hours.
What is the speed of the plane with no wind?

Answers

Answer:

The speed of the plane with no wind is 378 miles per hour.

Step-by-step explanation:

Since at maximum speed, an airplane travels 1680 miles against the wind in 5 hours, and flying with the wind. the plane can travel the same distance in 4 hours, to determine what is the speed of the plane with no wind, the following calculation must be performed:

Against the wind = 1680/5 = 336

With the wind = 1680/4 = 420

420 - ((420 - 336) / 2) = X

420 - 42 = X

378 = X

Therefore, the speed of the plane with no wind is 378 miles per hour.

help pls i’m very confused

Answers

Hello,

A=(1,2) ==> A'=(1,2)+(1,1)=(2,3)

B=(6,2) ==> B'=(6,2)+(1,1)=(7,3)

C=(4,4) ==> C'=(4,4)+(1,1)=(5,5)

D=(1,4) ==> D'=(1,4)+(1,1)=(2,5)

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