A ladder leans against a wall creating a 58 angle. The ladder reaches 4.5m up the wall. Calculate how long the ladder is

Answer:

Step-by-step explanation:

Use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the sides and c is the hypotenuse (longest side)

a^2 + 7^2 = 8^2

a^2 + 49 = 64

a^2=15

Now take the square root of 15 which is about 3.8

Answer:

Acute

Obtuse

Right

Acute

Step-by-step explanation:

To see if a triangle is acute, right, or obtuse, you use something similar to the pythagorean theorem:

Let a and b be the shorter sides, c be the longest side.

If a^2+b^2 > c^2, then the triangle is acute.

If a^2+b^2 = c^2, then the triangle is right.

If a^2+b^2 < c^2, then the triangle is obtuse.

Answer:

PART A- 3+D POUNDS

PARTB- 3D-12

Step-by-step explanation:

dylan-d pounds

alan-3+d pounds

bruce-3d-12

Answer:

Alan = A

Bruce = B

Cecil = C

Dylan = D

Part A     A = 2 x D + 3

Part B     B= 3 x D - 12

Part C    C= A+B     A = 2 x D + 3       B= 3 x D - 12

Part D    Cecil weighs 216 pounds

Part E     Yes, the expression can be simplified by using the Associative and Commutative Properties of addition and by combining the like terms in the expression.

Part F      5d-9

Part G      Cecil’s weight in terms of Dylan’s weight is 5d – 9.  Find Cecil’s weight by substituting Dylan’s weight (d = 45) into the expression above:

(5 × 45) − 9  = 225 − 9  = 216.

If Dylan weighs 45 pounds, then Cecil weighs 216 pounds.

Part H   Yes, the answers are the same. The expression from part D is equivalent to the expression from part G.

Part I       Bruce's weight in terms of Dylan’s weight is 3d − 12.  Alan's weight in terms of Dylan’s weight is 2d + 3.

So, the expression (3d − 12) − (2d + 3) represents how much more Bruce weighs than Alan.

Part J      The expression is (3d − 12) − (2d + 3).  Evaluate the expression by substituting Dylan’s weight (d = 45) into it:  (3 × 45 − 12) − (2 × 45 + 3)  = (135 − 12) − (90 + 3)  = (123) − (93)  = 30.

Bruce weighs 30 pounds more than Alan weighs.

Part K   (3d − 12) − (2d + 3).

First remove the parentheses:

3d − 12 − 2d − 3.

Then group the like terms:

3d − 2d − 12 − 3.

Finally, subtract the like terms:

d − 15.

The expression (3d − 12) − (2d + 3) simplifies to d − 15.

Part L    The expression is d − 15.  Evaluate the expression by substituting Dylan’s weight (d = 45) into it:  45 − 15 = 30.

Bruce weighs 30 pounds more than Alan. This is the same answer as in part J.

Step by step explanation:

So you basically want to focus on Alan and Bruce they will help you get the rest of your answers

Note:

Some of these are direct answers from Edmentum

Answer:

for the first on its a translation or c and for the second one its a reflection D

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

Answer:

Mechanical work or work, kinetic and potential energy, etc

Step-by-step explanation:

Like in this work equation, W= FcosD

where F is the magnitude of the force acting on the object

where D is the magnitude of the object's displacement

where cos is the angle between the force and displacement vectors

hope that helps..

Answer:

Statistica im pretty sure, i might be wrong tho, but if its right, cool

Step-by-step explanation:

These are all your congruent parts and they are colour coded along with matching marks on the triangle to help you know that! :)

Answer:

SAME AS THIS

Explanation:

County A: Multiply the price by the sales tax to find out how much money the sales tax will add. Remember to convert percent to decimal!

$75 * 0.0725 = $5.4375

Add the original price and the sales tax.

$75 + $5.4375 = $80.4375

County B: Multiply the price by the sales tax to find out how much money the sales tax will add. Remember to convert percent to decimal!

$70 * 0.08 = $5.6

Add the original price and the sales tax.

$70 + $5.6 = $75.6

Then take the difference.

80.4375 – 75.6 = 4.8375

Round to the nearest hundredth: $4.84

Answer:

the sale price would be $78

Step-by-step explanation:

add up all the prices to get 120

35% taken off of 120 is 78

Answer:

5Cause 15 divided by 3 is five

Answer:

4.4

Step-by-step explanation:

10/4=2.5

11/2.5=4.4

Answer:

Area of gray region = [tex]8x^2+8x-7[/tex]

Step-by-step explanation:

The area covered by the furniture can be subtracted from the total area of the room to calculate the area of the gray region.

Total area of the room: [tex]13x^2+7x-2[/tex]

Area taken up by furniture: [tex]5x^2-x+5[/tex]

Area of gray region = total area of the room - area taken up by furniture

Area of gray region = [tex]13x^2+7x-2-(5x^2-x+5)[/tex]

Remember to distribute the negative sign:

Area of gray region = [tex]13x^2+7x-2-5x^2+x-5[/tex]

Combine like terms:

Area of gray region = [tex]8x^2+8x-7[/tex]

Answer:

8x^2+6x+3

Step-by-step explanation:

 13x^2+7x-2

-  5x^2-   x+3

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

8x^2=6x=3

Answer:

Step-by-step explanation:

4 and 1/6

Answer:

59

Step-by-step explanation:

It's quite simple. A triange has a total of 180 degress. So add 47 and 74 to get 121. Then do 180 minus 121 to get 59

Answer:

x=19

Step-by-step explanation:

5(x+35)=9(300

5x+175=270

5x=270-175

5x=95

95/5=19X

Answer:

I think it would be something like 5x - 3 =

Answer:

i think shell pay 24$ between 3 and 4pm

and an additional $12

Step-by-step explanation:

sorry if this is wrong:(

Answer:

17/50.

Step-by-step explanation:

If we convert 3 2/5 into an improper fraction, we get 17/5.

If you don't read the question carefully, it's easy to think that the answer would be 17/5 ÷ 9. However, this is wrong.

The question says "her AND her 9 friends," so there are 9+1=10 people total.

Thus, the answer would be

17/5 ÷ 10 = 17/5 * 1/10 = 17/50.

Answer:

No

Step-by-step explanation:

parallel means they do not touch.

Conner: $354 - 243 cents

243 cents = $2.43 because 100 cents = 1 dollar

Conner: $354 - $2.43 = $351.57

$351.57

He has 351 dollars left.

Answer:

354 - 243 = 111

Step-by-step explanation:

300 - 200 = 100

 50 -    40 =   10

   4  -      3  =   1

100  +  10 + 1 = 111

Answer:

False.

Step-by-step explanation:

A tangent is a line that only touches exactly one point of the circle. (The outer edge) :)

Step-by-step explanation:

x² + 6x + 1 = 0

(x + 3)² - 8 = 0

(x + 3)² = 8

x + 3 = √8 or x + 3 = -√8

x = √8 - 3 or x = -√8 - 3

x = -0.17 or x = -5.83.

The solution of the given quadratic equation x² + 6x + 1 = 0 will be x = -0.17 or x = -5.83.

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.

For example, 3x² + 6x + 8 = 0 here x has the highest term as 2 and the coefficient of x² is not zero.

As per the given quadratic equation,

x² + 6x + 1 = 0

Make the whole square as

(x + 3)² - 8 = 0

(x + 3)² = 8

x + 3 = √8 or x + 3 = -√8

x = √8 - 3 or x = -√8 - 3

x = -0.17 or x = -5.83.

Hence "The solution of the given quadratic equation x² + 6x + 1 = 0 will be x = -0.17 or x = -5.83".

For more about the quadratic equation,

https://brainly.com/question/17177510

#SPJ2

Answer:

D = 37.5

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

It is true because the equation would be 1 is less than or equal to 3-(-4)

Answer:3

Step-by-step explanation:

23-8= 15

15/5=3