What is the value of a?

What Is The Value Of A?

Answers

Answer 1

Answer:

a = 6[tex]\sqrt{2}[/tex]

Step-by-step explanation:

[tex]a^{2}[/tex] + [tex]c^{2}[/tex] = [tex]18^{2}[/tex]    (pythagoras theorem)

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]4^{2}[/tex]      (pythagoras theorem)

[tex]c^{2}[/tex] + [tex]b^{2}[/tex] = [tex]22^{2}[/tex]      (pythagoras theorem)

From these 3 equations we can find the value of a


Related Questions

change the following into mixed fraction 13/5​

Answers

Answer:

2 3/5

Step-by-step explanation:

13/5​

5 goes into 13 2 time

2*5 =10

13-10 =3

There is 3 left over.  This goes over the denominator

2 3/5

2 3/5

Step-by-step explanation:

13/5

5*2=10

reminder=3

divisor = 5

Plz help me solve this

Answers

your answer is in the image i provided !!

One batch of trail mix can be made by mixing 3 cups of granola with 0.75 cup of raisins. Hamid needs to make a bigger batch of trail mix. He makes a graph to be sure the mixture will be correct.

On a coordinate plane, the point (3, 0.75) is plotted.

How can he use the graph to find an equivalent ratio?
He can draw a straight line from the origin that passes through (0, 0.75).
He can draw a straight line from (3, 0.75) that passes through (6, 2).
He can draw a straight line from (3, 0.75) that passes through (6, 1).
He can draw a straight line from the origin that passes through (3, 0.75).




put it in the comments im out of answers

Answers

the graph that he needs to do is a straight line from the origin that passes through (3, 0.75), the correct option is the last one.

How can he use the graph to find an equivalent ratio?

He knows the relation:

3 cups of granola ⇒ 0.75 cups of raisins.

Assuming this is a proportional relation of the form:

y = k*x

Where k is a constant.

Then when x = 0, we also have y = 0, so the line also passes through the point (0, 0), which is the origin.

Then the graph that he needs to do is a straight line from the origin that passes through (3, 0.75), the correct option is the last one.

If you want to learn more about proportional relationships:

https://brainly.com/question/12242745

#SPJ1

How many quarts of pure antifreeze must be added to 8 quarts of a 40% antifreeze solution to obtain a 60% antifreeze solution

Answers

Let q be the number of quarts of pure antifreeze that needs to be added to get the desired solution.

8 quarts of 40% solution contains 0.40 × 8 = 3.2 quarts of antifreeze.

The new solution would have a total volume of 8 + q quarts, and it would contain a total amount of 3.2 + q quarts of antifreeze. You want to end up with a concentration of 60% antifreeze, which means

(3.2 + q) / (8 + q) = 0.60

Solve for q :

3.2 + q = 0.60 (8 + q)

3.2 + q = 4.8 + 0.6q

0.4q = 1.6

q = 4

Can u help me with this?

Answers

Answer:

b

Step-by-step explanation:

it is the right answer pls believe me

I need the answer to this question

Answers

Answer:

Option(A)

Step-by-step explanation:

y=4x+2

When you replace the value of x in the equation you get the value of y

Answer:

the answer is A since if we lay it out we will get y

-6=-2*4+2

2=0*4+2

6=1*4+2

The position of an atom moving inside a cathode ray tube is given by the function f(t) = t^3− 4t^2 + 3t where t is in seconds and f(t) is in meters. Find the instantaneous velocity of the atom at t = 2.5 seconds. A. 1.75 m/sec. B. 2.48 m/sec. C. 3.27 m/sec. D. 4.12 m/sec.

Answers

Answer:

A

Step-by-step explanation:

The position of an atom moving inside a cathode ray tube is given by the function:

[tex]f(t)=t^3-4t^2+3t[/tex]

Where f(t) is in meters and t is in seconds.

And we want to determine its instantaneous velocity at t = 2.5 seconds.

The velocity function is the derivative of the position function. Thus, find the derivative of the function:

[tex]f'(t)=3t^2-8t+3[/tex]

Then the instantaneous velocity at t = 2.5 will be:

[tex]f'(2.5)=3(2.5)^2-8(2.5)+3=1.75\text{ m/sec}[/tex]

Our answer is A.

Answer:

Instantaneous Velocity:

[tex]\longrightarrow\:\rm v = \dfrac{dt}{dy}[/tex]

[tex]\longrightarrow\:\rm v = \dfrac{d}{dy}( {t}^{3} - 4 {t}^{2} + 3t) \\ [/tex]

[tex]\longrightarrow\:\rm v = 3 {t}^{3 - 1} - 2.4 {t}^{2 - 1} + 3[/tex]

[tex]\longrightarrow\:\rm v = 3 {t}^{2} - 8 t + 3[/tex]

[tex]\longrightarrow\:\rm v = 3 {(2.5)}^{2} - 8 (2.5)+ 3[/tex]

[tex]\longrightarrow\:\rm v = 3 \times 6.25 - 20+ 3[/tex]

[tex]\longrightarrow\:\rm v = 18.75 - 20+ 3[/tex]

[tex]\longrightarrow\:\rm v = 18.75 - 20+ 3[/tex]

[tex]\longrightarrow\:\bf v = 1.75 \: {ms}^{ - 1} [/tex]

what is the algebraic expression of 3 divided by q please answer grade 6 way

Answers

Answer: 3/q

Step-by-step explanation:

The answer to the question is 3/q

what is the result of a dilation of scale factor 3 centered at the origin of the line 2y + 3x=10

Answers

Answer:

(10, 15)

Step-by-step explanation:

To get the origin of the equation 2y+3x = 10, we need to get the x and y-intercept of the line.

x-intercept occurs at y = 0

If y = 0

2(0)+3x =10

3x =10

x = 10/3

x = 1.33

y-intercept occurs at x = 0

If x = 0

2y+3(0) =10

2y =10

y = 10/2

y = 5

Hence the coordinate at the origin is (10/3, 5). If this coordinate is dilated by 3, the required coordinate will be at (10/3*3, 5*3) = (10, 15)

Hence the required coordinate is (10, 15)

Calculator
Problem
Find the area of the shape shown below.

Answers

Answer:

what shape?

you gotta give more lol

Need more info to answer

Find the area of rectangle whose length is -3/7 and breadth is 16/3​

Answers

Answer:

I'm gonna guess your length is positive and you made a typing mistake. If that's so....

Step-by-step explanation:

Area= length x breadth

       =[tex]\frac{3}{7\\}[/tex] x [tex]\frac{16}{3}[/tex]

       =[tex]\frac{16}{7}[/tex]

       =2.29 [tex]unit^{2}[/tex]

may u plz help me.....

Answers

Hundredths I think,,,,

Answer:

the 3 is in the hundredths place

Step-by-step explanation: the numbers from behind the decimals goes tenths, hundredths, thousandths. there is two spots behind making it hundredths  

A cylinder has a volume of 187 cubic inches. If the radius is 3 inches, what is the height of the cylinder in inches?

Someone please help

Answers

Answer:

Step-by-step explanation:

V = pi r^2 h

V = 187

pi = 3.14

r = 3

h = ?

187 = 3.14 * 3^2 * h

187 = 3.14 * 9 * h

187 = 28.26 * h

187 / 28.26 = h

h = 6.62

Answer:

The height of cylinder is 6.61 inches.

Step-by-step explanation:

Given that :- Volume of cylinder = 187 inches ³.Radius of cylinder, r = 3 inches

We need to Find :-Height of cylinder , h

Formula Used :-

Volume of cylinder = π × r ² × h

Where,

r is the radius of cylinder. h is the height of cylinder.

Solution :-

Using Formula

Volume of cylinder = π × r ² × h

Substitute the values

187 inches ³ = π × ( 3 inches ) ² × h

Using π = 3.14

187 inches ³ = 3.14 × 9 inches ² × h

multiply

187 inches ³ = 28.26 inches ² × h

Divide , we get

187 inches ³ / 28.26 = h

6.61 inches = h

Therefore, The height of cylinder is 6.61 inches.

what is 1 6/9 +5 9/7

Answers

[tex]\longrightarrow{\green{7 \frac{20}{21}}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]1 \frac{6}{9} + 5 \frac{9}{7} \\ \\ = \frac{15}{9} + \frac{44}{7} \\ \\ = \frac{15 \times 7}{9 \times 7} + \frac{44 \times 9}{7 \times 9} \\ \\ = \frac{105 + 396}{63} \\ \\ = \frac{501}{63} \\ \\ = \frac{167}{21} \\ \\ = 7 \frac{20}{21} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

Simplify r^2-2r^3+3r^2

Answers

Answer:

=−2r3+4r2

Step-by-step explanation:

r2−2r3+3r2

=r2+−2r3+3r2

=r2+−2r3+3r2

=(−2r3)+(r2+3r2)

=−2r3+4r2

Can someone please answer this

Answers

80/180, because there in all 180 but 80 boys…i think.

please help ASAP (math)

Answers

i believe its the third one, because you just plug in the values to the vertex form

If f(x)=2x+3 and g(x)= x^2-8find (f+g (x)

Answers

[tex] \large \boxed{(f + g)(x) = f(x) + g(x)}[/tex]

Use the following property above to find the value. Substitute f(x) and g(x) in.

[tex] \large{(2x + 3) + ( {x}^{2} - 8)} \\ \large{2x + 3 + {x}^{2} - 8}[/tex]

Evaluate/Combine like terms.

[tex] \large{2x + {x}^{2} - 5}[/tex]

This step is optional but it's the best to arrange the degree.

[tex] \large{ {x}^{2} + 2x - 5} \\ \large{(f + g)(x) = {x}^{2} + 2x - 5}[/tex]

Answer

(f+g)(x) = x²+2x-5

Let me know if you have any doubts!

Use any method to multiply (3a + 2b – c)(a – b + 2c).
Question 5 options:

A)

3a2 – 2b2 – 2c2 – ab + 5ac + 5bc

B)

3a2 + 2b2 + 2c2 – ab – 5ac + 5bc

C)

3a2 + 2b2 – 2c2 + ab + 5ac + 5bc

D)

3a2 – 2b2 – 2c2 + ab + 5ac – 5bc

Answers

Answer:

A)

3a2 – 2b2 – 2c2 – ab + 5ac + 5bc

[tex](3a + 2b - c)(a - b + 2c) \\ = (3 {a}^{2} - 3ab + 6ac + 2ab - 2 {b}^{2} + 6bc - ac + bc - 2 {c}^{2} ) \\ = 3 {a}^{2} - ab + 5ac - 2 {b}^{2} + 5bc - {2c}^{2} \\ = 3 {a}^{2} - 2 {b}^{2} - {2c}^{2} - ab + 5ac + 5bc[/tex]

Answer:

option a is correct

Step-by-step explanation:

(3a + 2b - c)(a - b + 2c)

3a(a- b + 2c) +2b(a - b + 2c) - c(a - b + 2c)

multiply the brackets

3a^2 - 3ab + 6ac + 2ab - 2b^2 + 4bc - ac + bc - 2c^2

combine like terms

3a^2 - ab + 5ac - 2b^2 + 5bc - 2c^2

3a^2 - 2b^2 - 2c^2 - ab + 5ac + 5bc

(xii) x^6 - 8 divide by x^2 - 2​

Answers

Answer:

1/x^2

Step-by-step explanation:

x^6-8 / x^2-2

x^-2/x^0

x^-2/1

do reciprocal

1/x^2

Note : In division if the power of the base is negative then do its reciprocal then the power will be positive.

Answer to the question

Answers

Answer:

(Opt.D) x = 14

Step-by-step explanation:

<A + <B = 180 (Adjacent angles of a parallelogram are supplementary)

∴36 + 11x - 10 = 180

26 + 11x = 180

11x = 180 - 26

11x = 154

x = 154/11

x = 14

Hope this helps u

Please mark as brainliest

Thank You

Can someone please help me? You get points and it makes me happy.

Melanie makes $3.00 less per hour babysitting than her best friend, Carita. If the combined hourly rate of Melanie and Carita is $15.00, how much does Melanie make per hour?
A. $3.00
B. $6.00
C. $9.00
D. $12.00


No links or fake answers pls. Thanks for understanding.

Answers

The answer is C. $9.00

Answer:

$6

Step-by-step explanation:

(x-3)+x=15

2x-3=15

2x=18

x=9

9-3=6

Melanie makes 6 and Carlita makes 9.

What addition statement does this show? A. 5.2 + 6.4 = –11.6 B. –5.2 + 6.4 = –11.6 C. 5.2 + (–6.4) = –11.6 D. –5.2 + (–6.4) = –11.6

Answers

The answer is A I think not sure though

Answer:

A

Step-by-step explanation:

solve for x in parts below:​

Answers

Answer:

x=30°

Step-by-step explanation:

50 + x =80 degree (sum of two interior opposite angles is equal to the exterior angles formed)

x=80-50

x=30 degree

x=30 have a great a day

Richard and Braden are playing a game with a pair of dice. Richard needs a sum greater than 9 to win. What is his probability of winning on his next turn?

Answers

Answer:

5/12

Step-by-step explanation:

Notice that the in the throw of a pair of dice.

Sum               No. of times Favorable outcome

8                                 5

9                                  4

10                                 3

11                                  2

12                                 1

And total otcome = 6×6 =36

There P ( richard win) = P(X≥8)

=  (5+4+3+2+1)/36

=5/12

Select the correct answer.
Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
14x^4y^6/7x^8y^2
A. 2y^4/x^3
B. 7y^3/x^2
C. 7x^4y^4
D. 2x^2y^3

Answers

Answer:

The answer is A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope this Helps ;)

In a game of chance,players spin a pointer on a spinner with eight equal-sized sections.

Answers

Answer:

The change of the person landing on each side is 1/8

Step-by-step explanation:

Which one hurry
A.9
B.18
C.27
D.33

Answers

Answer:

It’s c I do believe

Answer:

seriously, talk to your teacher. its 21 units squared.

I guess the person who draw this had 18 units squared in mind, but failed to properly draw it.

so none of the options really fit. it's just a badly done problem. not your fault though. its just some of these little things to be just a little mad about.

find the solution to 8x^2 + 56x=0

Answers

Answer:

[tex]x = 0, - 7[/tex]

Step-by-step explanation:

[tex]8x^2 + 56x=0[/tex]

[tex]8x(x)+56x=0[/tex]

[tex]8x(x)+8x(7)=0[/tex]

[tex]8x(x+7)=0[/tex]

[tex]x=0 [/tex]

[tex]x+7=0[/tex]

[tex]x=−7[/tex]

Hope it is helpful...

Point Q is the midpoint of GH¯¯¯¯¯¯. GQ=2x+3, and GH=5x−5 .

What is the length of GQ¯¯¯¯¯?

Answers

Answer:

[tex]GQ =25[/tex] --- GoTV

Step-by-step explanation:

Given

[tex]GQ = 2x + 3[/tex]

[tex]GH= 5x - 5[/tex]

Required

Find GQ

Since Q is the midpoint, then:

[tex]GH = 2 * GQ[/tex]

This gives:

[tex]5x - 5 = 2[2x+3][/tex]

Open bracket

[tex]5x - 5 = 4x+6[/tex]

Collect like terms

[tex]5x - 4x = 5+6[/tex]

[tex]x =11[/tex]

We have:

[tex]GQ =2x+3[/tex]

This gives:

[tex]GQ =2*11+3[/tex]

[tex]GQ =25[/tex]

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