In a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b, what is the value of b, if c=5, a=3

Answers

Answer 1

Answer:

b = 4

Step-by-step explanation:

Try setting up the equation of the pythagorean theorem.

hypotenuse^2 = leg(a)^2 + leg(b)^2

c^2 = a^2+b^2

Now substitute what you know and solve for the unknown.

5^2 = 3^2+b^2

25 = 9 + b^2

b^2 = 25-9 = 16

b = 4.


Related Questions

3. Which number is a factor of 18. but not a multiple of 2? (10 Points)​

Answers

Answer:

Three or nine

Step-by-step explanation:

The number of miles driven varies directly with the number of gallons of gas used. If 8 gallons of gas are used to drive 204 miles, how many miles can be driven on 18 gallons of gas?

Answers

Answer:

3672

Step-by-step explanation:

If  8 gallons of gas were used to drive 204 miles  multiply  18x204=3,672 miles

The car be driven 459 miles on 18 gallons of gas.

What is linear proportionality?

A quantity is said to be linearly proportional to another quantity, if the value of the first quantity varies linearly with the second quantity.

Given,

8 gallons of gas is used to drive 204 miles.

Also, the number of miles driven varies directly with the number of gallons of gas used.

Therefore, (number of miles)/18 = 204/8

                    number of miles = 18 × (204/8)

                                                = 18 × 25.5

                                                = 459 miles

Hence, the car be driven 459 miles on 18 gallons of gas.

To learn more about proportionality visit:

https://brainly.com/question/2548537

#SPJ1

Please can someone answer this question quickly please

Thanks

Answers

Answer:

C. 5/7

Step-by-step explanation:

Answer:

It is C.5/7

Step-by-step explanation:

Hope this helped have an amazing day!

Willie and anjali each improved their yards by planting daylilies and ivy. They bought their supplies from the same store. Willie spent $116 on 12 daylilies and 4 pots of ivy. Anjali spent $60 on 6 daylilies and 3 pots of ivy. Find the cost of one daylily and the cost of one pot of ivy

Answers

Answer:the cost of one day lily = $9 and cost of one pot of ivy = $2

Step-by-step explanation:

Step 1

let day lilies be rep as d

and ivy be represented as i

So that The expression for what Willie spent on  12 day lilies and 4 pots of ivy = $116 be

12 d+ 4i = 116 ---- equation 1

and for Anjali spending  $60 on 6 day lilies and 3 pots of ivy be

6d+ 3i = $60------ equation 2

Step 2 --- Solving

 12 d+ 4i = 116 ---- equation 1

6d+ 3i = $60------ equation 2

Multiply equation 2 by (2) and subtracting equation 1  from it

12d+ 6i= 120

--12 d+ 4i = 116

2 i= 4

i = 4/2 = 2

TO find d, putting the value of i = 2 in equation 1 and solving

12d+ 4(2) = 116

12d= 116-8

12d= 108

d= 108/12= 9

Therefore the cost of one day lily = $9 and cost of one pot of ivy = $2

help with this .........

Answers

9514 1404 393

Answer:

  x = 30

Step-by-step explanation:

Supplementary angles total 180°.

  5x° +x° = 180°

  6x = 180

  x = 180/6 = 30

The value of x is 30.

What are the values of x and y, based on the figure on the right?

Answers

Answer:

the values of x and y, based on the figure on the right is of b

x=76°,y=48°

What is da answer my bruddas

Answers

Answer:

0.5

[tex]points \: of \: best \: fit \: are \\ (9, 5) \: and \: (1, 1) \\ slope = \frac{(1 - 5)}{(1 - 9)} \\ = \frac{ - 4}{ - 8} \\ = \frac{1}{2} \\ = 0.5[/tex]

2. This graph shows the solution for which inequality below?
10 20 30 40 50 60 70
80 90 100
A. = 25
B. 3x < 150
c x<10
D. 2x > 100
2
(A) A
в) В
( c) С
D

Answers

Answer:

the aswer would be B because x<50 therefor the highst posible value for x is 49 and 3x49 is 147 which is less than 150

manteo made the model below to represent the number of miles he swims in the pool each week for exercise

Answers

Answer:

What model?

Step-by-step explanation:

A, B, C, and D are the four angles of a parallelogram. a.Show that angle A = angle C
b.Show that angle B = angle D

Answers

Answer:

look at the pictures

Step-by-step explanation:

HOPE THIS helps

What does 5/12 - 1/3 equal?

Answers

Answer: 1/12

Step-by-step explanation:

5/12 - 1/3

1/3 = 4/12

5/12 - 4/12 = 1/12

The answer to 5/12-1/3 equals 1/12

Ms. Agokeng is making a trip to Pennsylvania that is more than 250 miles. She has already driven 45 miles and is continuing her drive at 70 miles per hour. Which of the following inequalities represents the amount of time she has left in the car?​

Answers

Answer:

The correct answer is A.) 45 + 70x < 250.

y = mx + b

She started at 45 miles (+ 45).

She has to go at least 250 miles (< 250).

She is driving at a constant, unchanging speed of 70 mph (70x).

I need help please i need step by step help

Answers

Mmmmbrntnrjneuneunre unenriched
The first one is 3x + 7x = 3
10x = 3
The second one is x^2-2x + 15x = 3
x^2 + 13x = 3

The height of the roof will be 9 feet instead of 5 feet. Determine the length, in feet of the diagonal wood beams on the new roof. Find the leg. a^2 + 9^2=13^2

Answers

Answer:

√88

Step-by-step explanation:

a^2 + 9^2=13^2

a² = 13² - 9²

a² = 169 - 81

a² = 88

Take square root of both sides

a = √88

I need help with this ​

Answers

Answer: 72 units^2

Explanation:
Triangle to the left, you do 5(6) and get 30, but since it's a triangle, you divide by 2 and get 15. Middle rectangle, 6(8) is 48. Right triangle, 3(6) is 18, 18/2 is 9. Add them all up 15+48+9 and you get 72. Hope this helped!

What is the simplified version of the expression below? 1/2(3/4x+10)-2(x+1)

Answers

Answer: -1 5/8 + 3 or -13/8 + 3

Step-by-step explanation:

1/2 (3/4x + 10) - 2 (x + 1)

3/8x + 5 - 2x - 2

Combine like terms

3/8x - 2x + 5 - 2

-1 5/8 + 3

      or

-13/8 + 3

You give a delivery driver $15.50 for a pizza that costs $12.50. You tell the driver to keep the change as a tip. Is the tip more than or less than 20%?

Answers

Answer:

More than

Step-by-step explanation:

Answer:

more than 20%

Step-by-step explanation:

3.00/12.50 = .24

Meaning the tip was 24% ( more than 20% )

Which of the following best describes the slope of the line below?

Answers

Answer:

c.positive

Step-by-step explanation:

!!Please Help!! Find the value of z to the nearest tenth.

Answers

Answer:

x = 14[tex]\sqrt{2}[/tex]

y = 14

z= 14[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.

Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that x will be the same as its respective leg, 14[tex]\sqrt{2}[/tex]

Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.

Since y is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, y is 14. z is then 14[tex]\sqrt{3}[/tex] using either Pythagorean Theorem or special right triangle properties for 30-60-90.

It costs $3.45 to buy ¾ lb of chopped walnuts. How much would it cost to purchase 7.5 lbs of walnuts? Explain or show your reasoning.

Answers

Answer:

It would cost $ 34.5

Step-by-step explanation:

Given,

The cost of 3/4 lb of chopped walnut = $ 3.45,

So, the cost of 1 lb of chopped walnut = 4/3*3.45

=4*1.15

= $ 4.6,

Thus, the cost of 7.5 lbs of walnuts = 7.5 × cost of 1 b of walnut

= 7.5 × 4.6

= $ 34.5

Solve for x
35 = 5(x + 9)
X =

Answers

Answer:

-2

Step-by-step explanation:

35 = 5x + 45

So - 45 from both side

-10 = 5x

Divide both side by 5

-2 = x

X = -2

Can someone help with this 25 point
1,2,3

Answers

Answer:

(if violation occurs in an active work zone, 15-day suspension).

Step-by-step explanation:

I need help if you can that would be great thank you

Answers

Answer:

Simplifying the expression [tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex] so, there is only one power of each base we get [tex]\mathbf{3^3\:.\:2^2}[/tex]

Option D is correct answer.

Step-by-step explanation:

We need to simply the expression [tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex] so, there is only one power of each base.

Solving:

[tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex]

We can write it as:

[tex]\frac{(3\:.\:2)^5}{3^2.2^3}[/tex]

Now using exponent rule: [tex](a\:.\:b)^m=a^m\:.\:b^n[/tex]

[tex]\frac{3^5\:.\:2^5}{3^2.2^3}[/tex]

Now using the exponent rule: [tex]\frac{a^m}{a^n}=a^{m-n}[/tex] the bases should be same

[tex]3^{5-2}\:.\:2^{5-3}\\=3^3\:.\:2^2[/tex]

So, simplifying the expression [tex](3\:.\:2)^5\div (3^2\:.\:2^3)[/tex] so, there is only one power of each base we get [tex]\mathbf{3^3\:.\:2^2}[/tex]

Option D is correct answer.

Does the sum of -21 and 12 equal 0?

Answers

No the sum is -21 is bigger than 12 because

ITS MATH I NEED HELP

Answers

Answer:

undefined

Step-by-step explanation:

well the slope is

[tex]m = \frac{\Delta y}{\Delta x}\\\\=\frac{1-3}{4-4}=\frac{-2}{0}[/tex]

which is undefined

the slope is Zero ............

WILL MARK BRAINLIEST TO THE BEST ANSWERS. The interior angles of a pentagon measure x°, (2x)°, (2.5x)° , (x + 10)° , and (2x + 20)°. Determine the value of x. PLEASE SHOW ALL SOLUTIONS NESSICARY. THANK YOU.......

Answers

Answer:

x=60

Step-by-step explanation:

The sum of interior angles of a regular Pentagon is 540°

x+2x+2.5x+x+10+2x+20=540

8.5x=540-30

8.5x=510

x=510/8.5=60

Answer:

x = 60°

Step-by-step explanation:

Sum of interior angles of a regular polygon is:

180°(n-2)

Pentagon has 5 sides, so sum of angles is:

180°(5-2) = 180°*3 = 540°

For the given pentagon we have sum of angle measures as below, and solving for x:

x + 2x + 2.5x + (x +10) + (2x + 20) = 540°8.5x + 30° = 540°8.5x = 510°x = 510°/8.5x = 60°

I need help on these 3 questions please! ​

Answers

Answer:

3/4*4=3

3/5*6=3.6

2/6*5=1.7

PLEASE HELP ME BRAINLY IF CORRECT
Two hot air balloons are traveling along the same path away from a town,
beginning from different locations at the same time. Henry's balloon begins
10 miles from the town and is 24 miles from the town after 2 hours. The
distance of Tasha's balloon from the town is represented by the function y=
6x + 15.
Which balloon was farther from the town at the beginning, and which traveled
more quickly?

A. Tasha's balloon was farther from the town at the beginning, but
Henry's balloon traveled more quickly.
B. Henry's balloon was farther from the town at the beginning, but
Tasha's balloon traveled more quickly.
C. Tasha's balloon was farther from the town at the beginning, and it
traveled more quickly.
D. Henry's balloon was farther from the town at the beginning, and it
traveled more quickly.

Answers

Answer:

Henry's balloon was farther from the town at the beginning and Henry's balloon traveled more quickly.

A seed company planted a floral mosaic of a national flag. The perimeter of the
rectangular planting area is 420 feet. The length of the area is 110 feet longer
than the width.

a.) Write a system of equations to relate the
length and width of the planting area.

b.) Use the system of equations to
determine the length and width of
the planting area.

Answers

9514 1404 393

Answer:

  a) 2(L+W)=420; L-W=110

  b) length: 160 ft; width: 50 ft

Step-by-step explanation:

The formula for the perimeter (P) in terms of length (L) and width (W) is ...

  P = 2(L+W)

We can use this as one of the equations. The other will relate the length and width according to their difference:

  L -110 = W

Substituting the given perimeter in the above equation, our system of equations is ...

420 = 2(L+W)L-110 = W

Substituting for W in the first equation gives ...

  420 = 2(L +(L -110))

  210 = 2L -110

  320 = 2L

  160 = L

  160 -110 = W = 50

The planting area is 160 feet long by 50 feet wide.

_____

Comment on the question

Most national flags have a length/width ratio of 1.5 or 2. The flags of Vatican City and Switzerland are square (1.0). The longest flag is that of Qatar, with an aspect ratio of width:length = 11:28, about 2.545. The "national flag" described here has an aspect ratio of width:length = 5:16, or 3.2. Apparently, it is not to scale, or not from Earth. (The US flag aspect ratio is 1.9.)

Maya painted 3/4 of her art project in the morning and 1/8 of her project in the evening which equation can maya use to find how much of the project she painted

Answers

Answer: 7/8

Step-by-step explanation: First you have to multiple 3/4 by 2 so it would be 6/8 and then add it to the 1/8 and it'll be 7/8 correct me if I'm wrong.

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