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:

i think shell pay 24$ between 3 and 4pm

and an additional $12

Step-by-step explanation:

sorry if this is wrong:(

Answer:

x=19

Step-by-step explanation:

5(x+35)=9(300

5x+175=270

5x=270-175

5x=95

95/5=19X

Answer:

Step-by-step explanation:

4 and 1/6

Answer:

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

Step-by-step explanation:

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:

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:

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

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

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:

No

Step-by-step explanation:

parallel means they do not touch.

Answer:

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

Step-by-step explanation:

Answer:3

Step-by-step explanation:

23-8= 15

15/5=3

Answer:

Yes

Step-by-step explanation:

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

Answer:

D = 37.5

Step-by-step explanation:

Answer:

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

Answer:

False.

Step-by-step explanation:

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

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:

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:

-15

Step-by-step explanation:

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

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:

4.4

Step-by-step explanation:

10/4=2.5

11/2.5=4.4

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:

5Cause 15 divided by 3 is five