Applying the 45-45-90 Theorem, Find the length of the hypotenuse of a right triangle if the lengths of the other two sides are both 3 inches.​

Answers

Answer 1

Answer:

Step-by-step explanation:

using pythagoras theorem

h^2=p^2+b^2

h^2=3^2+3^2

h^2=9+9

h^2=18

h=[tex]\sqrt{18}[/tex]

h=3[tex]\sqrt{2}[/tex]


Related Questions


Find the rate of change from the table.

Answers

Answer:   15

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

We're asked to find the slope:

m = slope

m = (y2-y1)/(x2-x1)

m = (50-20)/(4-2)

m = 30/2

m = 15

The rate of change is 15. Each time x goes up by 1, y increases by 15.

slope = rise/run = 15/1

rise = 15, run = 1

I used the middle two columns of the table, but you could use any two columns you want. I subtracted the y values together to get the change in y, which is the rise. The change in x, aka run, is the difference in x values. You must subtract the values in the same order. If done in the wrong order, you might get -15 as the incorrect answer.

HELP DUE IN 15 MINS!

The center of a circle is (3, 2) and a point on the circle is (5, -2). Find the radius and write the equation for the circle.

Answers

Answer:

r = [tex]2\sqrt{5}[/tex]

[tex](x - 3)^{2} + ( y - 2)^{2} = 20[/tex]

Is this a live test question or a homework question?

Step-by-step explanation:

the radius is the distance between (3, 2) and (5, -2)

[tex]r^{2}[/tex] = [tex]{(3 - 5)^{2} + (2 + 2)^{2} }[/tex]

    =  [tex](-2)^{2} + 4^{2}[/tex]

    =  4 + 16 = 20

r = [tex]\sqrt{20 } = 2\sqrt{5}[/tex]

Equation of circle:   [tex](x - 3)^{2} + ( y - 2)^{2} = 20[/tex]

Answer:

Radius: [tex]2\sqrt{5}[/tex]

Equation of circle: [tex](x-3)^2+(y-2)^2=20[/tex]

Step-by-step explanation:

The radius of a circle is equal to the distance between the center of the circle and any point on the circle. Therefore, we have:

[tex]r=\sqrt{(5-3)^2+(2-(-2))^2},\\r=\sqrt{2^2+4^2},\\r=\sqrt{20}=\boxed{2\sqrt{5}}[/tex]

The equation of a circle with radius [tex]r[/tex] and center [tex](h, k)[/tex] is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex].

What we know:

radius of [tex]2\sqrt{5}[/tex] center at [tex](3, 2)[/tex]

Substituting known values, we get:

[tex](x-3)^2+(y-3)^2=(2\sqrt{5})^2,\\\boxed{(x-3)^2+(y-2)^2=20}[/tex]

If the mass of a metal bar which is 3.25 m long is 15 kg. Find its mass per meter

Answers

Step-by-step explanation:

If 3.25m is equal to 15kg then what about 1m?

3.25m = 15kg

1m =?

Then by cross multiplication we get 4.615 kg

: £50 is worth €56
How many euros is £1 worth?

Answers

Answer:

Let's make this a ratio:

50:56

Divide by 50 on both sides (since they made it a unit rate).

1:1.12

1.12 is your answer.

can someone help me plzz !! i need to know the answer!! its an Algebra 1 question.​

Answers

Answer: C

Step-by-step explanation:

Mistook the last one for different type of math apologies...

I just answered in the comments.

The correct answer is option C.

You have 30 minutes to exercise at the gym. The Stairmaster burns 7 calories per minute, while the stationary bike burns 12 calories per minute. You want to burn 290 calories total using both machines. How much time should you spend on each machine?

Answers

Answer:

14 min on Stairmaster

16 min on Bike

Step-by-step explanation:

s = time on Stairmaster

b = time on bike

System of Equations:

s + b = 30

7s + 12b = 290

let 's' = 30-b

Substitution Method:

7(30-b) + 12b = 290

210 - 7b + 12b = 290

5b + 210 = 290

5b = 80

b = 16

s + 16 = 30

s = 14

I suck at math and need help

Answers

Answer:

B. 3 + 5i

Step-by-step explanation:

-2i + (9 - 3i) - (6 - 10i) =

= - 2i + 9 - 3i - 6 + 10i

= 5i + 3

= 3 + 5i

the answer is B. 3+5i

What is the median number of TVs in Mrs. Jamison's Class?

Answers

Answer:

its the 4 on the number line under her name

What is the y-intercept

Answers

Answer:

The y-intercept is (0,0) or the origin, it's basically the point that intercepts the line of y.

Answer:

0

Step-by-step explanation:

I think 0...

...

...

...

Hope this helps <3

hehe it hit 0 and it is on y so uhh yeah...

A cable that is 45 feet long is attached to the top of a vertical pole. The cable is anchored to the ground 36 feet from the base of the pole . How tall is the pole? Round your answer to the nearest hundredth .

Answers

Answer:

27

Step-by-step explanation:

Karl bought ​ 3 1/2 ​ gallons of milk that cost $2.70 per gallon.What was the total cost of the milk?

Answers

Answer:

The answer is 9.45

Step-by-step explanation:

2.7*3.5=9.45

Write in index form
9 x 9 x 4 x 4 x 4 x 9 x 9 x 9

Answers

Answer:

9^5×4^3

Step-by-step explanation:

9 has to multiply itself 5 times and 4 has to multiply itself 3 times

Answer:

[tex]9^{5}[/tex] × 4³

Step-by-step explanation:

9 is multiplied by itself 5 times and 4 is multiplied by itself 3 times.

This is expressed in index form as

[tex]9^{5}[/tex] × 4³

Please help me and show working. I have a test very soon.

Answers

Answer:

c = 3

Step-by-step explanation:

Given

[tex]\frac{2}{c-2}[/tex] - [tex]\frac{3}{c+2}[/tex] = [tex]\frac{7}{c^2-4}[/tex] ← factor the difference of squares

[tex]\frac{2}{c-2}[/tex] - [tex]\frac{3}{c+2}[/tex] = [tex]\frac{7}{(c-2)(c+2)}[/tex]

Multiply through by (c - 2)(c + 2) to clear the fractions

2(c + 2) - 3(c - 2) = 7 ← distribute and simplify left side

2c + 4 - 3c + 6 = 7

- c + 10 = 7 ( subtract 10 from both sides )

- c = - 3 ( multiply both sides by - 1 )

c = 3

Edward invested $43,800 in an account which yields 4.8% annually and is not compounded. How much will be in the account after 2 years?

Answers

Answer:

betch Corvette Corvette hop 9n a coloor

Answer:

If the money isnt compounded i dont think he would make anything. Could you repost the question multiple choice?

Ned and Jack are each saving money for a new smartphone. Ned initially has $65 and plans to save $5.50 per week. Jack does not have any money saved yet, but he plans to save $8.75 per week. Let x=# weeks and y=amount of money saved.

Answers

Answer:

I'm not sure exactly what you're looking but I would set up the equation like this.

y=65+5.5x   for Ned's equation

y=8.75x       for Jack's equation.

Step-by-step explanation:

This is in y=mx+b format, hopefully it helps!

Find the mean absolute deviation. Round to the nearest tenth.

Answers

1.5
Lololoolooklooloollooloollooll

In trapezold ABCD, point D has coordinates D(1,3). If the trapezoid is translated
2 units left and 5 units down, what are the coordinates of D'?

Answers

Answer:

D’(-1,-2)

Step-by-step explanation:

Left = x -2 = 1-2 = -1

down = y-5 = 3-5 = -2

What is 10x5721? This is for my math homework.

Answers

Answer: Seriously? It’s 57210

Step-by-step explanation:

Answer:

on the contray please help me with one of the questions idc which one

Step-by-step explanation:

answer is 57210

9.
Find the slope of the line.



A. -1/4

B. 4

C. 1/4

D. -4

Answers

Answer:

9. A. -1/4

Step-by-step explanation:

Plug the points into the equation y2-y1/x2-x1. In this case, I chose the points (0,-2) and (4,-3). This would make the equation -3--2/4-0. This would be equal to -3+2/4 or -1/4. Therefore, the slope is -1/4.

If this has helped you please mark as brainliest

Answer:

A. -1/4

Step-by-step explanation:

EASY MATH PLEASE HELP! NO LINKS! NEED COMPLETE EXPLAINATION WITH ANSWER!!

Answers

Answer: a.) 18 x 8

Step-by-step explanation: if you break down the equation 6^3= 18 and 4^2=8 then take 18x8 simple as that

I NEED HELP FAST
PLEASEEEEEEE

Answers

Answer: D

Step-by-step explanation:

Answer:

Step-by-step explanation:

D none of them hope this helps

What is the measure of APD? (6x - 10) (4x + 8)

Answers

Answer: 24x + 8x - 80

Step-by-step explanation: ohh its right

algebra 1 help!!!!!!!!!

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of expo functions.

f(x) = -8(2)^x - 12 ,

for f(0) ,here substitute x = 0

so we get as ,

==> f(0) = -8(2)^0 -12

==> f(0) = -8-12

==> f(0) = -20

hence, f(0) = -20

Answer:

Step-by-step explanation:

If it went from f(x) ⟹ f(0), that means that x=0.

So, you would plug in 0 for x in f(x)=-8(2)^x-12.

After plugging in the value of x, x=0, into the equation, you should have

f(0)=8(2)^0-12

Now, we are solving for f(0) (or f(x)).

You would use PEMDAS to solve this:

P-PARENTHESIS

E-EXPONENT

M-MULTIPLICATION

D-DIVISION

A-ADDITION

S-SUBTRACTION

There are no parenthesis

there are exponents,

(2)^0 and that =1

so we have f(0)=8(1)-12

there is multiplication, 8(1) which =8

so now we have f(0)=8-12

there is no division

there is subtraction

8-12, which equals -4

f(0)=-4

A scuba diver dove 313 feet below sea level then rose 26 feet?

Answers

Answer:

I think the answer would be 287?

Step-by-step explanation:

287 is the answer

313 - 26 = 287

a 420$ dressed is 20% off, how much is the sales price?

Answers

Answer:

$336

Step-by-step explanation:

420 x 0.2 = 84

420 - 84 = 336

Answer:

the answer is going to be $336

If the length between points on a map is 6 inches, 8 inches, and 9 inches, and the scale is one inch equals 5 miles, find
the distances in miles
12.16 and 18 miles
11, 13 and 14 miles
30,40 and 45 miles

Answers

Given:

The length between points on a map is 6 inches, 8 inches, and 9 inches.

The scale is one inch equals 5 miles.

To find:

The distances in miles.

Solution:

The given scale is:

1 inch = 5 miles

Using this scale, we get

6 inches = 6 × 5 miles

               = 30 miles

8 inches = 8 × 5 miles

               = 40 miles

9 inches = 9 × 5 miles

               = 45 miles

The distance is miles are 30, 40, 45 miles.

Therefore, the correct option is C.

What are the measures of 1 and 2? 37.1 1 2 17.30 121.8°​

Answers

Answer:

Option 2 : m∠1 = 67.4°, m∠2 = 104.5°

Step-by-step explanation:

Lets find the measure of angle 2 first:

180° - 17.3° - (180° - 121.8°) = Angle 2

                             ↑

             Angle of the straight line = 180°

             The angle should be 180 - 121.8

Angle 2 = 104.5

At this point the only answer that works is the second option, but let's still work out Angle 1

Angle 1 :

Theory of opposite angles state that the opposite angles inside a triangle = the exterior angle

in this case:

Angle 1 + 37.1 = Angle 2

Since we know angle 2 = 104.5, lets solve

Lets say angle 1 = x

x + 37.1 = 104.5

x = 104.5 - 37.1

x = 67.4

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

To find:-

The measures of 1 and 2.

Solution:-

[tex]{\boxed{\mathcal{\red{Angle\: 1 \:=\: 67.4° \:}}}}[/tex]✅

[tex]{\boxed{\mathcal{\red{Angle\: 2\:=\:104.5° \:}}}}[/tex]✅

Step-by-step explanation:-

We know that,

[tex]\sf\purple{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}[/tex]

x + 121.8° = 180°

x = 180° - 121.8°

x = 58.2°

Now,

[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]

∠ 2 + 17.3° + 58.2° = 180°

➪ ∠ 2 + 75.5° = 180°

➪ ∠ 2 = 180° - 75.5°

➪ ∠ 2 = 104.5°

[tex]\boxed{Therefore,\:the\:measure\:of\:∠\:2\:is\:104.5°.}[/tex]

Again,

[tex]\sf\blue{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}[/tex]

2 + y = 180°

104.5° + y = 180°

y = 180° - 104.5°

y = 75.5°

Finally, we have

[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]

⇢  1 + 75.5° + 37.1° = 180°

⇢  1 + 112.6° = 180°

⇢  1 = 180° - 112.6°

⇢  1 = 67.4°

[tex]\boxed{Therefore,\:the\:measure\:of\:∠\:1\:is\:67.4°.}[/tex]

[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]

Solve for x HURRY PLEASE

Answers

Answer:

x = 4

Step-by-step explanation:

Intersecting chords theorem:

NQ*QL = KQ*QM

Substitute and solve for x:

2(3x) = 3(8)6x = 24x = 24/6x = 4

Answer:

Given:

KQ:3

NQ:2

MQ:8

QL:3x

According to theorem of intersecting chords

NQ×QL=QM×QK

now=

Substituting value

2×3x=8×3

x=24/6

x=4 is a required answer.

What is the equation, in standard form, of a circle with center (−5, 8) and radius 5?

Enter your answer by filling in the boxes.

Answers

Answer:

( x + 5 )² + ( y - 8 )² = 25

Step-by-step explanation:

Standard form for the equation of a circle - ( x - h )² + ( y - k )² = r²

Where r = radius and Center is located at ( h , k )

We are given that the center is at ( -5 , 8 )

Thus, h = -5 and k = 8

We are also given that the radius = 5

Thus, r = 5

Now we just plug all of the given values into the standard form equation

( x - (-5))² + ( y - 8 )² = 5²

*simplify*

in - ( - 5 ) the two negative sign cancel out and it turns into + 5

5² = 25

Thus, the equation is ( x + 5 )² + ( y - 8 )² = 25

Many schools have a regular outdoor school one day a week.
At Mosby, they often walk 125 meters from the school to the mountain top Jonsberget (140 masl) which is located directly behind the school.
How high is the school above sea level?

Answers

Answer:

The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.

Step-by-step explanation:

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