Determine the length of the radius of the circumscribed circle to the right triangle with the legs 7 cm and 4cm.Round your answer to the nearest hundredth

Answers

Answer 1

Answer:

4.03cm

Step-by-step explanation:

Note that the diameter of the circumscribed circle to the right triangle is the hypotenuse of the triangle.

To get the diameter, we will use the pythagoras theorem as shown;

d² = 7² + 4²

d² = 49 + 16

d² = 65

d = √65

d = 8.0622577

Since radius = d/2

radius = 8.0622577/2

radius = 4.0311288

Hence the radius of the circumscribed circle to the nearest hundredth is 4.03cm


Related Questions

Please help me, I’ve literally been trying for so long.

Answers

Let the cosecutive numbers be like this :

2n + 1 , 2n + 2 , 2n + 3 , 2n + 4 , 2n + 5

Odd , Even , Odd , Even , Odd

______________________________

So we have :

(2n+1)+(2n+3)+(2n+5)=(2n+2)+(2n+4) + 39

6n + 9 = 4n + 6 + 39

6n + 9 = 4n + 45

Subtract both sides 9

6n + 9 - 9 = 4n + 45 - 9

6n + 0 = 4n + 36

6n = 4n + 36

Subtract both sides 4n

6n - 4n = 4n - 4n + 36

2n = 0 + 36

2n = 36

Divide both sides by 2

2n ÷ 2 = 36 ÷ 2

n = 18

______________________________

So the numbers are :

2(18)+1 , 2(18)+2 , 2(18)+3 , 2(18)+4 , 2(18)+5

36 + 1 , 36 + 2 , 36 + 3 , 36 + 4 , 36 + 5

37 , 38 , 39 , 40 , 41

As u can see the Odd numbers are :

37 , 39 , 41

And we're done ...

I NEED ANSWERS ASAP, TY:)

Answers

J = 94x

example: 25 is your seconds so now you need to find the relationship to get to the 2,350. You could divide 2,350 and 25 and you would get the outcome of 94 .

which of the following points are on the line given by the equation y equals 5X​

Answers

Answer:

B & E

Step-by-step explanation:

___________________

S.NO.1
देहाल
खरिद मुल्य)- रु. 60,000
नाफा (P%)=5
विक्रय मुल्य =?​

Answers

Answer:

विक्रय मुल्य=रु.63000

Step-by-step explanation:

खरिद मुल्य)- रु. 60,000 (cp)

नाफा (P%)=5 (p%)

विक्रय मुल्य =? (sp)

now,

sp=(100+p%)/100×cp

(100+5)/100×6000063000

so, sp is Rs 63000.

hope it helps.

stay safe healthy and happy.

PLEASE HELP I WILL GIVE BRAINLIEST:)

Answers

Answer:

not building towns near the edge of a tectonic plate

Step-by-step explanation:

not building towns near the edge of a tectonic plate

What is the fifth term in the geometric sequence?

1, 2, 4, 8, ...
12
16
32
64

Answers

Answer:

16.

Step-by-step explanation:

nth term = a1r^(n-1)

Here a1 = 1, n = 5 and r = 2/1 = 2.

5th term = 1 * (2)^(5-1)

= 1*2^4

= 16.


Multiply
What value is in Row 2 Column 2 of the
SOLUTION Matrix?
2

Answers

Answer:

Step-by-step explanation:

if u multiply the order of two matrix then the row is 2 and column is also 2 of a new matrix.

-8

The whole matrix is

____
1 2|
|
6 -8|

Simplify and can you explain how to simplify

Answers

Answer:

[tex]\frac{1625z^{10}}{x^5}[/tex]

Step-by-step explanation:

[tex]\frac{13\cdot \:1\cdot \:x^{-5}}{5^{-3}z^{-10}}[/tex]

[tex]\frac{13x^{-5}}{\frac{1}{125z^{10}}}[/tex]

[tex]\frac{\frac{13}{x^5}}{\frac{1}{125z^{10}}}\\[/tex]

[tex]=\frac{13\cdot \:125z^{10}}{x^5\cdot \:1}[/tex]

refine: [tex]\frac{13\cdot \:125z^{10}}{x^5}[/tex]

multiply the numbers: 12 x 125 =1625

[tex]=\frac{1625z^{10}}{x^5}[/tex]

Answer:

multiply the numbers: 12 x 125 =1625

Step-by-step explanation:

What number makes the equation true?

Answers

-2 1/3 is the answer

The Venn diagram below shows survey results of the cities visited by a group of people on a recent trip to Europe.

Answers

Answer:

A. 27

B. 21

C. 19

D. 24

E. 10

Which equations have no real solution but have two complex solutions?
A 3x>2-5=-8
b 2x>2=6x-5
c 12x=9x>2 +4
d -x>2 - 10x =34

Answers

Answer:

see details below

Step-by-step explanation:

First, assume >2 was meant to be &super;. or square.

then the given equations are:

A 3x^2-5=-8

b 2x^2=6x-5

c 12x=9x^2 +4

d -x^2 - 10x =34

In all cases, rearrange equation to identify parameters a, b and c, then calculate determinant using D=b^2-4ac.

A 3x^2x-5=-8

   3x^2-5x+8=0, a=3, b=-5, c=8

   D=b^2-4ac = (-5)^2-4*3*8 = 25 - 96  = -71  < 0   => 2 complex solutions

B 2x^2=6x-5

   2x^2-6x+5, a=2, b=-6, c=5

   D=b^2-4ac = (-6)^2-4*2*5 = 36 - 40 = -4  < 0   => 2 complex solutions

C 12x=9x^2 +4

   9x^2-12x+4, a = 9, b=-12, c=4

   D=b^2-4ac = (12)^2-4*9*4 = 144 - 144 = 0   => 2 real coincident solutions    

D -x^2 - 10x =34

   -x^2-10x-34, a = -1, b=-10, c=-34

    D=b^2-4ac = (-10)^2-4*(-1)*(-34) = 100 - 136 = -36   <0  => 2 complex  solutions    

If x = 8 units and h = 3 units, then what is the area of the triangle shown above?

Answers

Answer:

12

Step-by-step explanation:

A = 1/2 x 8 x 3 = 12

the answer is 12 hope it helps

Write 5.6382 correct to 2 decimal places.

Answers

5.64 is the answer
.

Answer for this:

5.64

help me please this due in 20 mins dont add a link you'll get reported

Answers

Answer:3

Step-by-step explanation:

3-6*12

87the answer is 4

What number is a prime factorization of 60

Answers

Answer:

Use a factor tree to express 60 as a product of prime factors. So the prime factorization of 60 is 2 × 2 × 3 × 5, which can be written as 2 2 × 3 × 5.

the maddens drove 120 miles in 4 hours, at this rate how long will it take them to drive 480 miles.

Answers

Answer:

16 hours

Step-by-step explanation:

120/4 = 30 miles per hour

480/30 = 16 hours

put some group spam usernames ideas

Answers

1. uDosPam

2. TguanFoe

3. SpaMerAlert

what is 1/2 cups into pints

Answers

Answer:

0.25 pints

Step-by-step explanation:

Hehe, i used goo. gle

A line, y = mx + b. passes through the point (2, 4) and is parallel to y = 3x - 5. What is the value of b?

Answers

Answer:

-2

Step-by-step explanation:

Well since this line is parallel to y=3x-5 they must have the same slope

We are just solving for the y-intercept

We have a point (2,4) lets plug it into

y=3x+ b

4 = 3(2) +b

4= 6 +b

-2 = b

The value of b is -2

Answer:

B-value = -2

Step-by-step explanation:

In the picture below Orange line represents the line of "y = 3x - 5", since we know that the line passing through the point (2,4) is parallel to the given line, the slope of the line would be 3x as well. To find b-value or y-intercept we have to plot the point on the graph where the line passing through the points (2,4) intersects the y-axis, in this case it's at (0,-2), therefore the b-value = -2.

Hope this helps!

Here is the diagram:

ANSWER ASAP PLEASE!!! TY:)​

Answers

Answer:

Volume of triangular prism is given by formula

Volume of triangular prism = (Area of the base) x 12 (height of the prism)

now plug the given values

216= (area of the base) x 12

216/12 = area of the base

18= area of the base

so, the answer is 18 square cm

a sum is RS x. If 2 upon 3 of the sum is 20 find the sum​

Answers

Answer:

Step-by-step explanation:

2/3*x=20

2x=20*3

x=60/2

x=30

A line segment has endpoints at (-7, 2) and (8,8). What is the x-coordinate of the point on the line segment that is the distance from (-7, 2) to (8,8)?​

Answers

Answer:

Sorry dud it been long time I've not answered 0ne

Answer:

Heyy

Step-by-step explanation:

Did ya get the answer ???

Help please!!!!!!!!!!

Answers

Given:-

Diameter of the circle = 8 cm

To find:-

Circumference of the circle.

Solution:-

[tex]\boxed{25.12\:cm}[/tex] ✅

Step-by-step explanation:

We know that,

[tex]\sf\purple{Circumference\:of \:a\: circle \:=\:πd}[/tex]

[tex] = 3.14 \times 8 \: cm \\ = 25.12 \: cm[/tex]

[tex]\sf\red{Therefore,\:the\:circumference \:of\:the\:circle\:is\:25.12\:cm.}[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Please select more than 1 answer.

Answers

Answer:

Is the C and F

Step-by-step explanation:

This equation is linear as it goes in a straight line. It is also a function because it passes the vertical line test where the line will only pass through one point on the graph. (A&B)

Which equation represents this line in point-slope form?
A.(y + 4) = (4)/(3) (x + 3)'
B. (Y-4) = -(4)/(3) (x +3)
C. Y= -(3)/(4)X'
D.4y- 3x = 0

Answers

Answer:

. (Y-4) = -(4)/(3) (x +3)

Step-by-step explanation:

Which equation represents this line in point-slope form?

Answer: B

Step-by-step explanation:

Lily is in charge of bringing bottled water to a party that has 37 guests.

Bottled water is sold in packs of 36 and each pack costs $42.12.

Part A: enter the total number of packs of water Lily will need to bring to the party if each guest is to have 3 bottles of

water.

Part B: enter the total cost, in dollars, Lily will spend on bottled water for the party.

Answers

Answer:

A) 4 packs

B) $168.48

Step-by-step explanation:

A) Lily will need to bring 4 packs of bottled water because 3 bottles per guest is 37 times 3, which gives us 111 water bottles. If each pack has 36, divide 111 water bottles by 36 giving us 3.08333333333 packs. Since you cannot buy 3.08333333333 packs of bottled water, Lily will need to round up to the nearest whole number to insure that each guest has exactly 3 water bottles. When you round up it will be 4 packs of bottled water.

B) Because Lily is bringing 4 packs of bottled water to the party and each pack costs $42.12, multiply 42.12 by 4 to get $168.48 as the total cost of her purchase.

Please rate your understanding of the vocabulary from today (planes, points, lines, collinear, coplanar, line segments, rays, and opposite rays.) I understand the definitions of all terms above and I could explain these topics to others. 4 I am not sure if I understand every word completely, but I have enough confidence to try and figure it out. 3 Some terms make sense, but I need some help understanding others. 2 This is new to me and I cannot define these terms now. 1

Answers

Answer:

See below

Step-by-step explanation:

A plane is a flat, two-dimensional surface that extends infinitely.

A point is a precise location on a plane.

A line is a one-dimensional figure that has only its length that extends infinitely.

Points are collinear if they all fall on the same straight line.

Points or lines are coplanar if they all fall on the same plane.

Line segments are a line with two endpoints on each end of the segment, which have a definite length.

Rays are lines that have one endpoint and the other end of the line extends infinitely with no endpoint.

Opposite rays are two rays that have a common endpoint that point in opposite directions and form a straight line.

Find the perimeter of the polygon with the vertices A (-1,5), B (-1,-4), C (-6,-4), and D (-6,5)

Answers

68

Schools almost over, good luck!!

the only solution to x² + bx + c = 0
is x = 5

work out the values of b and c​

Answers

Answers:

b = -10

c = 25

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

Explanation:

If x = 5 is the only solution then (x-5) is the only factor. Turns out we have repeated solutions and repeated factors. Meaning (x-5)(x-5) = (x-5)^2 is what we're after.

Expand that out to get

(x-5)^2

x^2 - 5x - 5x + 25

x^2 - 10x + 25

Then compare this to x^2 + bx + c to find

b = -10

c = 25

If you were to solve x^2-10x+25 = 0, you'll find that x = 5 is the only root.

What is the mean of this set of numbers?

3, 7, 0, 3, 4, 0, 9, 1

Answers

Answer:

3.375 or 3.38 if rounded to the hundredths place.

Step-by-step explanation:

To get the mean of a set of numbers we add all the numbers in the set and then divide the sum by the amount of numbers in the set.

3+7+0+3+4+0+9+1= 27

Amount of numbers: 8

We divide 27 by 8.

27 ÷ 8= 3.375

3.375 is the mean, which we can round to 3.38 or further down to 3.4 for the tenths place and 3 for the ones place.

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