A 12-foot ladder is leaning against a wall. The distance from the base of the wall to the base of the ladder is 6 StartRoot 2 EndRoot feet. Given this information, what can be determined about the triangle formed by the ground, wall, and ladder? Check all that apply. The triangle is isosceles. The leg-to-hypotenuse ratio is 1:StartRoot 2 EndRoot. The leg-to-hypotenuse ratio is 1:StartFraction StartRoot 2 EndRoot Over 2 EndRoot. The nonright angles are congruent. The ladder represents the longest length in the triangle.

Answers

Answer 1

Answer:

The leg-to-hypotenuse ratio is 1/√2

The ladder represents the longest length in the triangle.

Step-by-step explanation:

The set up in the question will b a right angled triangle

Length of the ladder will be the hypotenuse

The distance from the base of the wall to the base of the ladder  is the adjacent

Height of the wall will be the opposite

Note that the longest side is always the hypotenuse (length of the ladder)

Given

length of the ladder = 12foot

The distance from the base of the wall to the base of the ladder = 6√2

The ratio of leg to hypotenuse = 6√2/12 = √2/2

√2/2 = √2/2 * √2/√2

√2/2 = √4/2√2

√2/2 = 2/2√2

√2/2 = 1/√2

Hence the leg-to-hypotenuse ratio is 1/√2

From the calculation the following are correct:

the leg-to-hypotenuse ratio is 1/√2

The ladder represents the longest length in the triangle.

Answer 2

Answer:

The leg-to-hypotenuse ratio is 1/√2

The ladder represents the longest length in the triangle.

The nonright angles are congruent

( B, D, E )

Step-by-step explanation:

Just did it on edge


Related Questions

How much interest would you pay on a $12000 loan at 5% for 6 years

Answers

Answer:

Interest=$3600

Step-by-step explanation:

I = P * r * x * t

Where:

P is the principal amount, $12000.00.

r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.

t is the time involved, 6....year(s) time periods.

So, t is 6....year time periods.

To find the simple interest, we multiply 12000 × 0.05 × 6 to get that:

The interest is: $3600.00

Usually now, the interest is added onto the principal to figure some new amount after 6 year(s),

or 12000.00 + 3600.00 = 15600.00. For example:

If you borrowed the $12000.00, you would now owe $15600.00

If you loaned someone $12000.00, you would now be due $15600.00

If owned something, like a $12000.00 bond, it would be worth $15600.00 now.

please help me!!!! Solve for x
5^x = 5^3 x 5^8

Answers

Answer:

x=11

Step-by-step explanation:

trust i guess

Answer:

Step-by-step explanation:

The terms have the same base... (5)

So...

You can just take away the 5s and get:

X = 3 . 8

X = 24

It is simple.

A factory made 555 packs of mint flavored gum and 8695 packs of fruit flavored gum.What percentage of the packs contained mint gum ?

Answers

Answer:

6%

Step-by-step explanation:

This problem uses proportions

I would set this up as-

555          x

8695      100

Cross multiply-

100 x 555 = 55500

Divide-

55500/8695 = 6.38

Round to the nearest whole number

10. What is 7 less than the square root of 64?

Answers

Answer:

1

Step-by-step explanation:

the square root of 64

√64 = 8

8 - 7 = 1

50 points please help

Answers

                                                  Question No 6

Given

Mass m = 70 kg

Acceleration a = 5 m/s²

To determine

Force F = ?

Using the formula

F = ma

substituting m = 70 kg and a = 5 m/s²

F = 70 × 5

F = 350 N

Therefore, the sprinter is exterting a 350 N force.

                                          Question No 7

Given

Mass m = 80 kg

Acceleration a = 10 m/s²

To determine

Force F = ?

Using the formula

F = ma

substituting m = 80 kg and a = 10 m/s²

F = 80 × 10

F = 800 N

Therefore, the sprinter is exterting a 800 N force.

Answer:

Given

Mass m = 70 kg

Acceleration a = 5 m/s²

To determine

Force F = ?

Using the formula

F = ma

substituting m = 70 kg and a = 5 m/s²

F = 70 × 5

F = 350 N

Therefore, the sprinter is exterting a 350 N force.

                                         Question No 7

Given

Mass m = 80 kg

Acceleration a = 10 m/s²

To determine

Force F = ?

Using the formula

F = ma

substituting m = 80 kg and a = 10 m/s²

F = 80 × 10

F = 800 N

Therefore, the sprinter is exterting a 800 N force.

Step-by-step explanation:

Write an equation in slope-intercept form of the line with slope −4/5 that contains the point (−5,−4).

A. y=−4/5x−5

B. y=−4/5x−8

C. y=−4/5x−4

D. y=−4/5x+4

Answers

Answer:

B

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is -4/5,

[tex]y = - \frac{4}{5} x + c[/tex]

To find the y-intercept, substitute a pair of coordinates.

When x= -5, y= -4,

[tex] - 4 = - \frac{4}{5} ( - 5) + c \\ - 4 = 4 + c \\ c = - 4 - 4 \\ c = - 8[/tex]

Thus, the equation of the line is

[tex]y = - \frac{4}{5} x - 8[/tex]

Plz solve I will give brainlist 15 points

Answers

Answer:

5 and 5

Step-by-step explanation:

The absolute value of a number is the number but positive.

/-5/ = 5 and /5/ = 5

Hope this helps!

Can someone please solve F (x) = x² - 2x + 1

Answers

Answer:

i hope this helps

Step-by-step explanation:

Answer: x=1

Step-by-step explanation:

Please help!!!! (Look at picture)

Answers

Answer:

x (19) is your answer okkkkkk

PLEASE HELPPP!!!!!!!!

Answers

Answer:

60

Step-by-step explanation:

The total sum should be 180 degrees.

So 3x = 180. x = 60

Answer:

60 not shure tho hsbsvsbs

Can someone help me with this geometry question?

Answers

Answer:

whats the question

Step-by-step explanation:

Answer:

I don't see a question to answer

Step-by-step explanation:

Which number is not a factor of 12 and a multiple of 6

Answers

42 is the correct answer

Answer:

ummmm 5 ..............

Which expression is equivalent to the given expression? (-4ab)3
-4a³b³
-12ab³
-4ab³
-64a³b³​

Answers

Answer:

option d

Step-by-step explanation:

(-4ab)^3 = (-4ab)(-4ab)(-4ab) = -64a^3b^3 (option d)

I hope this helped, please give brainliest if this is correct! Thank you!

identify the constant: 4x - 3

Answers

Answer:

The constant is 3 because it has no any variable term e.g "x"

Find the value of m​

Answers

Answer:

m = 9

Step-by-step explanation:

Using the rules of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

Then

[tex](\frac{1}{27}) ^{m}[/tex] × [tex](81)^{-1}[/tex] = 243 ← express all values to base 3

[tex](\frac{1}{3^3}) ^{m}[/tex] × [tex](3 ^4)^{-1}[/tex] = [tex]3^{5}[/tex]

[tex](3^-3)^{m}[/tex] × [tex]3^{-4}[/tex] = [tex]3^{5}[/tex]

[tex]3^{-3m}[/tex] × [tex]3^{-4}[/tex] = [tex]3^{5}[/tex]

[tex]3^{(-3m-4)}[/tex] = [tex]3^{5}[/tex]

Since bases on both sides are equal, both 3 , then equate exponents

- 3m - 4 = 5 ( add 4 to both sides )

- 3m = 9 ( divide both sides by - 3 )

m = - 3

A local plant nursery recommends fertilizing a vegetable garden with a nitrogen fertilizer. The recommended amount of fertilizer is 0.6 lb per 100 square feet of garden space. How much fertilizer would be needed to fertilize 250 square feet of garden space?

A. 3.75 pounds
B. 1.5 pounds
C. 166 pounds
D. 2.5 pounds

Answers

Answer: 1.5 pounds

Step-by-step explanation:

You have 250 feet so if 0.6 is for 100 feet you would need 0.6+0.6 for the 200 feet. Then you need to split the 0.6 in half to make it 0.3 so, in conclusion, add 0.6+0.6+0.3 wich equals 1.5 HOPE THIS HELPS!!!

Answer:

B

Step-by-step explanation:

Find 10 rational numbers between -1/9 and 4/9 .

Answers

hope this help you out (•‿•)

Which of the following quadratic equation has a solution set {1/2.5}? Select all that apply.

Answers

Answer: Where is the problem?

Step-by-step explanation: There's no problem

Please help? Thank you

Answers

Answer: I think it’s the 8y= 7x + 6

Step-by-step explanation:

Well to make it easier, put it in slope intercept form, which that is y= -8/7x + 1/7. Since perpendicular lines are opposite sign reciprocal of the original equation, we know the slope of the perpendicular line would be positive, since the original was negative. So the answer would be 8y = 7x + 6

9514 1404 393

Answer:

  (b)  8y = 7x +6

Step-by-step explanation:

You can always make a perpendicular line by swapping the x- and y-coefficients, and negating one of them. In the process, ignore the constant.

Swapping the coefficients in the given equation gives you ...

  -8y = 7x + constant

Negating the y-coefficient, you get ...

  8y = 7x + constant . . . . . the equation of a perpendicular line

Using constant = 6 to match an answer choice, you can see that this matches ...

  8y = 7x +6

Find the value of each variable.

Answers

Answer:

a = 20

b = 30

Step-by-step explanation:

1) Solving for a

From the diagram above, KL + ML = An arc

Hence, we add them up

110° + 130° = 240°

1/2 of 240° = 120°

Solving for a°

180° = 120° + 3a (sum of opposite angles in a cyclic quadrilateral)

180° - 120° = 3a

60° = 3a

a = 60/3

a = 20

2) Solving for b

The sum of the exterior angles of a circle = 360°

Hence:

360° = KL + ML + JM + JK

KL = 110°

ML = 130°

JM = 54°

JK = ??

JK = 360 - (110° + 130° + 54°)

JK = 360 - 294

JK = 66°

Adding up JK + JL = 54° + 66°

= 120°

1/2 of 120° = 60°

Hence:

60° + 4b = 180°(sum of opposite angles in a cyclic quadrilateral)

4b = 180° - 60°

4b = 120°

b = 120/4

b = 30

When Vlad moved to his new home a few years ago, there was a young oak tree in his backyard. He measured it once a year and found that it grew by 26 centimeters each year. 4.5, years after he moved into the house, the tree was 29 centimeters tall.
How tall was the tree when Vlad moved into the house?
centimeters
How many years passed from the time Vlad moved in until the tree was 357 centimeters tall?

Answers

Answer:

Step-by-step explanation:

I dont really know but somekne wil lask in the comments so you can find the answer.

A(3,0) and B(-3,0) are the two fixed points Find the locus of a point P at which AB subtend a right angle at P

Answers

Answer:

[tex]y^2+x^2=9[/tex]

Step-by-step explanation:

Let's take a general point P(x,y). If there is a right angle at P then the slopes of the lines passing through AP and BP must be perpendicular.

Two lines of slopes m1 and m2 are perpendicular if:

m1*m2=-1

The slope of the line passing through P(x,y) and A(3,0) is:

[tex]\displaystyle m_1=\frac{y-0}{x-3}=\frac{y}{x-3}[/tex]

The slope of the line passing through P(x,y) and B(-3,0) is:

[tex]\displaystyle m_2=\frac{y-0}{x+3}=\frac{y}{x+3}[/tex]

Substituting in the equation:

[tex]\displaystyle \frac{y}{x-3}\cdot\frac{y}{x+3}=-1[/tex]

Operating:

[tex]\displaystyle \frac{y^2}{(x-3)(x+3)}=-1[/tex]

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

[tex]y^2=-(x^2-9)[/tex]

[tex]y^2=-x^2+9[/tex]

[tex]\boxed{y^2+x^2=9}[/tex]

The locus is a circle centered at the origin with radius 3

The price of a car increased by 7% which expression can be used to calculate the new price of the car

Answers

Answer: P * ( 1 + 7%)

Step-by-step explanation:

You included no options but the expression should go something like this:

Pn = P * ( 1 + 7%)

Where Pn is the new price

P is the current price

The above formula will show the new price given the current price.

The cost of a piece of ribbon is directly proportional to the length of the ribbon. The cost of 8 yards of ribbon (without tax) is $5.60. The sales tax rate is 6.35%. What does it cost for 10 yards of ribbon, including tax?

Answers

Answer: $7.44

Step-by-step explanation:

The cost of a piece of ribbon is directly proportional to the length of the ribbon.

A yard is therefore:

= 5.60/8

= $0.70

10 yards will cost:

= 0.70 * 10

= $7.00

Including sales tax:

= 7.00 * (1 + 6.35%)

= $7.44

​A square playground has sides that each measure 120 feet in length. ​On a scale drawing, 1/4 ​​ inch represents 5 feet on the playground. ​How long is a side of this playground on the scale drawing? ​​

Answers

Answer:

6 Inches

Step-by-step explanation:

Per the above, we were given that;

1/4 inch = 5 feet

But,

X inch = 120 feet

We would represent the above as a ratio

1/4 inch / X inch = 5 feet / 120 feet

1/4 inch / X inch = 1 feet / 24 feet

When we cross multiply, we'll have

1/4 inch × 24 feet = X inch × 1 feet

X = 6 inches

Answer:

6 inches

Step-by-step explanation:

what is 2 hrs and 20 min to 40 min as a fraction?

Answers

Answer:

7/2

Step-by-step explanation:

2 hours= 120 mins

120 mins+20=140

140/40=7/2

Please give brainliest, thank me and rate it 5 if it helped. :)

The next model of a sports car will cost 12.3% more than the current model. The current model costs $49,000. How much will the price increase in dollars?
What will be the price of the next model?

Answers

Answer:

The price increase is $6,027

The price of the next model is $55,027

Step-by-step explanation:

Find the cost of the next model by multiplying 49,000 by 1.123

49,000(1.123)

= 55,027

Find the price increase by finding the difference:

55,027 - 49,000

= 6,027

The price increase is $6,027

The price of the next model is $55,027

Answer:

First write the percent as a decimal to make calculating for the answer easier. Then, u see that its telling you it will be 12.3% more than current price.

Step-by-step explanation:

Solve for x
help please!!!​

Answers

Answer:

x=1

Step-by-step explanation:

Answer:

7/3

Step-by-step explanation:

used calculator

Identifying the Solution to a System of Two-Variable Inequalities
Which equation represents an inequality in the system
of inequalities shown in the graph?
4
Which point is a solution to the system?
х
2
4

Answers

Answer:

The answers are BELOW ⬇️

Step-by-step explanation:

P.S Thank ❤️ And Rate ⭐️ My Answer If It Has Helped You

The equation that represents the inequality in the graph is y < 2x + 2.

The solution of the system is (-1, -2).

What are systems of inequalities?

At least two linear inequalities in the same variables make up a system of linear inequality in two variables. The graph of a linear inequality is the graph of all solutions to the system, and the solution of a linear inequality is the ordered pair that resolves all inequalities in the system.

To find the system of inequalities, first, we find the system of equations.

So, the first dotted line is passing through two points (-1, 0) and (0, 2),

then the equation of the line,

y - 0 = (2 - 0)/(0 + 1) (x + 1)

y = 2x + 2

From the diagram, the equation that represents the inequality in the graph is y < 2x + 2   ....(1)

Similarly, the equation of the second line is y ≤ 2x ...(2)

Now, the solution of the system is (-1, -2).

Therefore, the solution of the system is (-1, -2).

To learn more about the systems of inequalities;

https://brainly.com/question/19526736

#SPJ7

Find the equation of the line perpendicular to 2x + 3y = -5 and
passing through (3, -5). Write the equation in standard form.

Answers

Answer:

3, -5

Step-by-step explanation: took the test

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