Two ladders rest against a wall at the same angles. The first ladder is 13 feet long, has its base 5 ft away from the wall and the top touches the wall at a height of 12 feet. The second ladder is 6.5 feet long and has a height of 6ft. How far is the base from the wall?

i seriously dont  know but i want points so i will type random stuff

Step-by-step explanation:

Answer:

i am not able to write answer because I need point but my old id is good I am in ace level

Answer:

breadth = 25m

length= 35m

Step-by-step explanation:

perimeter is distance all round a figure

in a rectangle we have two pairs of  opposite but equal lines

breadth = 2x( because of the two breadths in a rectangle) - 20

length = 2x(  because of the two lengths in a rectangle)

perimeter = 2x + 2x - 20

120 = 4x - 20

120 + 20 = 4x

140 = 4x

35 = x

to get the dimensions, we have to divide by 2 as we took both parts of each dimension

breadth = 2x - 20

                     2

             =2(35) - 20

                      2

              = 70 - 20

                      2

              = 50m

                   2

               = 25m

length = 2x

              2

        = 2(35)

              2

        = 70m

              2

           = 35m

Answer:

x=1.5

Step-by-step explanation:

No hablo espanol

Answer:

x² + 9x + 20

Step-by-step explanation:

Area of a rectangle can be found by multiplying the base with height (or length with width).

A(r) = l x h.

Multiply. Plug in:

x + 5 for l

x + 4 for h

A(r) = (x +5) * (x + 4)

Use the FOIL method to solve. Multiply the first terms of both parenthesis, the outside terms, the inside terms, and then the last terms. Combine like terms:

A(r) = (x + 5) * (x + 4)

x * x = x²

x * 4 = 4x

5 * x = 5x

4 * 5 = 20

x² + 4x + 5x + 20

x² + (4x + 5x) + 20

x² + 9x + 20

x² + 9x + 20 is your answer.

~

The area of a circle is calculated using the formula:

A = πr^2

Where A is the area and r is the radius of the circle.

In this case, the radius is given as 7. Substituting the value into the formula:

A = π(7)^2

A = π(49)

A = 49π

The exact area of the circle is 49π square units.

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The value of x° is 133°.

Given,

Pentagon with angles 107° , 120° , 90° , 90° , x° .

A pentagon is formed by combining three triangles and thus have total of interior angles to be 540°.

Now, to calculate the value of x:

Sum of all interior angles of pentagon = 540°

Put the values of all the angles given in the figure,

120° + 107° + 90° + 90° + x° = 540°

407° + x = 540°

x = 133°

Hence the missing angle is of 133° .

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Answer:

2.7°C.

Step-by-step explanation:

If it was -7.4°C. at 5 am, then -4.7°C. at 9am, then the temperature rose by 2.7°C.

Proof:

-7.4

-4.7

--------

2.7

Answer:

60 contain 6 tens

then

60+10

contain

7 tens

the

correct answer

is

7 tens

Answer:

6 tens + 1 ten = 7 tens

Step-by-step explanation:

6 tens = 60

1 ten = 10

7 tens = 70

Answer:

rational number.................

After answering the presented question, we can conclude that probability Therefore, the probability of 30 or more seconds between vehicle arrivals is approximately 0.0498.

Probability is a measure of how likely an event is to occur. It is represented by a number between 0 and 1, with 0 representing a rare event and 1 representing an inescapable event. Switching a fair coin and coin flips has a chance of 0.5 or 50% because there are two equally likely outcomes. (Heads or tails). Probabilistic theory is an area of mathematics that studies random events rather than their attributes. It is applied in many fields, including statistics, economics, science, and engineering.

Sketch of exponential probability distribution with mean of 12 seconds:

   |                            

   |                            

   |              .            

   |             . .            

   |             . .            

   |             . .            

   |             . . .          

   |             . . .          

   |             . . .          

   |             . . .          

   |             . . .          

   |             . . . .        

   |             . . . .        

   |             . . . .        

   |             . . . . .      

   |             . . . . .      

   |_____________. . . . . . .

        0       12             X

The X-axis represents the time between vehicle arrivals, and the Y-axis represents the probability density. The peak of the distribution is at 12 seconds, which is the mean.

b. Probability of the arrival time between vehicles being 12 seconds or less:

Since the mean of the exponential distribution is 12 seconds, we can use the cumulative distribution function (CDF) to find the probability of the arrival time being 12 seconds or less:

\(P(X < = 12) = 1 - e^(-12/12) = 1 - e^(-1) ≈ 0.6321\)

Therefore, the probability of the arrival time between vehicles being 12 seconds or less is approximately 0.6321.

c. Probability of the arrival time between vehicles being 6 seconds or less:

\(P(X < = 6) = 1 - e^(-6/12) = 1 - e^(-0.5) ≈ 0.3935\)

Therefore, the probability of the arrival time between vehicles being 6 seconds or less is approximately 0.3935.

d. Probability of 30 or more seconds between vehicle arrivals:

\(P(X > = 30) = e^(-30/12) ≈ 0.0498\)

Therefore, the probability of 30 or more seconds between vehicle arrivals is approximately 0.0498.

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Answer:

Answer: (-1,4)

SOLUTION:

xϵR:

x+1

14x

−

x−4

9x−30

<0

x+1



=0 x−4



=0

⇒x



=−1 x



=4

14(x−4)−(x+1)(7x−30)<0

14x

2

−56x−(9x

2

−30x+9x−30)<0

14x

2

−56x−9x

2

+30x−9x+30<0

5x

2

−35x+30<0

x

2

−7x+6<0

x

2

−6x+6<0

x(x−6)−1(x−6)<0

(x−1)(x−6)<0

⇒x>1 & x<6

⇒xϵ;(1,4)∪(4,6)

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Answer:

----------------------------

Divide the total amount by the cost per piece:

Since the carpenter can only buy whole pieces of wood, they can buy 30 pieces.

Answer:

At the time the ball was thrown, it was 8 feet above the ground.

h'(x) = -32x + 64 = 0, so x = 2

The ball reaches its maximum height after 2 seconds.

Answer:

Hope this helped and brainliest please

Step-by-step explanation:

Scientific notation is standard form.

To write a number in standard form, we use the format:

a×10^b

where 1 ≤ a < 10

a would be 2.11 in this question.

As we can see the decimal point has move 5 places to be after 2 so our b value will be 5

Our answer will be :

2.11×10^5

Hope this helped and brainliest please

nearest hundred place : 300

hope this helps

Answer:

300 kids

Step-by-step explanation:

Answer:

\(21.7 x 10^5\)

Step-by-step explanation:

(6.2 x 10²) x (3.5 x 10³)

First, multiply the coefficients: 6.2 x 3.5 = 21.7.

Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.

Therefore, the result is 21.7 x 10^5.

Answer:

3286000

Step-by-step explanation:

Answer:

A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. ... When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.

Step-by-step explanation:

The value of the radical √48 is 4√3.

Radical is a symbol (√) that denotes square roots and nth roots. The number inside the symbol is called Radicand and the expression containing the radical or a square root is called a Radical expression.

Here, we are given the radical √48

To find the value of the radical, we will factorize 48

i.e., 48 = 2×2×2×2×3

           = 16×3

Now, the square root of 48, that is, √48

                                                       = \(\sqrt{16\cdot3}\) =\(\sqrt{16} \cdot \sqrt{3}\)

We know 16 is a perfect square of 4, that is, the square root of 16= 4

⇒√16=4

Using this, we have √48= 4√3

The correct answer is 4√3.

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Answer:

f(3)=122

Step-by-step explanation:

To find the weight of 4.3 cubic feet of water, we need to first find the number of gallons of water that 4.3 cubic feet holds and then multiply that by the weight of 1 gallon of water.

1 cubic foot holds 7.48 gallons of water, so 4.3 cubic feet holds 4.3 x 7.48 = 31.964 gallons.

1 gallon of water weighs 8.33 pounds, so 31.964 gallons of water weigh 31.964 x 8.33 = 265.9012 pounds.

Therefore, 4.3 cubic feet of water weigh 265.9012 pounds.

To find the weight in tons, we need to divide the weight in pounds by 2000:

265.9012 pounds ÷ 2000 = 0.13295 tons

So 4.3 cubic feet of water weigh 0.13295 tons.

Answer:

0.13314 tons.

Step-by-step explanation:

We can start the calculation by first converting the cubic feet of water to gallons and then converting the gallons to pounds.

Conversion from cubic feet to gallons:

4.3 cubic feet = 4.3 cubic feet * 7.48 gallons/cubic foot = 32.084 gallons

Conversion from gallons to pounds:

32.084 gallons = 32.084 gallons * 8.33 pounds/gallon = 266.279 pounds

Conversion from pounds to tons:

266.279 pounds = 266.279 pounds / 2000 pounds/ton = 0.13314 tons

So, 4.3 cubic feet of water weigh 266.279 pounds or 0.13314 tons.

Answer:

it is correct I think it's right

Step-by-step explanation:

Answer:

$37,600

Step-by-step explanation:

2:4 ratio which means there is 6 parts

56,400/6 = 9,400

Mandy is the 4 as she came second in the question which said respectfully(in that order)

9,400 x 4 = $37,600

Though in all honesty I may be wrong, I haven't worked on any ratios in a longggg time

The area of the patio not taken up by the fountain is 241ft²

Please find attached an image of the patio

Area of the patio not taken up by the fountain = area of patio - area of fountain

The patio is in a shape of a trapezoid. Thus, the area of the patio can be determined by using the formula for the area of a trapezoid

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs

Characteristics of a trapezoid

Area of a trapezoid =  0.5 x (sum of the lengths of the parallel sides) x height

Taking a look at the image, we are not provided with the height of the trapezoid, just the parallel sides and the hypotenuse.

Pythagoras theorem can be used to determine the the height of the trapezoid

The Pythagoras theorem : a² + b² = c²

where a = height  

b = base = 20 ft - 12 ft = 8ft

8ft / 2 = 4

c =  hypotenuse

a² + 4² = 25²

a² = 625 - 16

a² = 609

√609 = 24.68 ft

Area of the trapezoid = 0.5 x (20 + 12) x 24.68 = 394.88 ft²

The fountain is in the shape of  a circle.

Area of a circle = πr²

Where : = π = pi = 22/7

R = radius  

The radius would have to determined from the circumference

circumference of a circle = 2πr

14π = 2πr

r = 14π / 2π

r = 7

Area of the circle = \(\frac{22}{7}\) × 7²

\(\frac{22}{7}\) × 49 = 154 ft²

Area of the patio not taken up by the fountain = 394.88 ft² - 154 ft² = 240.88ft²

To round off to the nearest square, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.

The tenth digit is greater than 5, so one is added to 0. The number becomes 241ft²

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Answer: 97. -10<n<8

99. g>=7 or g<0

101. x<5 or x>=6

Step-by-step explanation:

97. -1<9+n<17

-1-9<9-9+n<17-9

-(1+9)<n<17-9

-10<n<8

99. g+5>=12

g+5-5>=12-5

g>=7

g/9 < 0

g<0

g>=7 or g<0

101.

2x<10

x<5

x/2 >=3

x>=6

x<5 or x>=6

Answer:   coaches : players -- 1 : 18

Step-by-step explanation:

Yes, the proof of congruence of two triangles ∆ABC ≅ ∆GHF is possible.

The convergence method which proves this congruence is SSS(side-side-side) congruence.

We have given the sketch of two triangles as seen above. We have to prove ∆ABC ≅ ∆GHF

Now , AB = √(-7+7)² + 5² = 5 in triangle ABC and FG = 5 in triangle FGH,

so, AB ≅ FG

Because AC = 3 in triangle ABC and FH = 3 in triangle FGH,

so, AC ≅ FH

To find the lengths of BC and GH , we can use distance formula.

Length of BC :

BC = √[(x₂ - x₁)² + (y₂ - y₁)²]

(x₁, y₁) = B(-7, 0) and (x₂, y₂) = C(-4, 5).

BC = √[(-4 + 7)² + (5 - 0)²]

= √[32 + 52]

= √[9 + 25]

= √34

Length of GH :

GH = √[(x₂ - x₁)² + (y₂ - y₁)²]

(x₁, y₁) = G(1, 2) and (x₂, y₂) = H(6, 5).

GH = √[(6 - 1)² + (5 - 2)²]

= √[52 + 32]

= √[25 + 9]

= √34

Conclusion :because BC = √34 and GH = √34,

=>BC ≅ GH

All the three sides of one triangle is congruent to the corresponding sides of other triangle.

By SSS congruence postulate,

ΔABC ≅ ΔFGH

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Answer:

-2

Step-by-step explanation:

1. Rewrite the equation:

2(3x - 3) = -18

2. Use the distributive property:

2(3x - 3) = -18 ---> 6x - 6 = -18

3. Add 6 to both sides:

6x - 6 = -18 ---> 6x = -12

4. Divide both sides by 6:

6x = -12 ---> x = -2

Now we know our answer is -2, let's make sure it's correct:

2(3x - 3) = -18

2(3(-2) - 3) = -18

2(-6 - 3) = -18

-12 - 6 = -18

-18 = -18

This tells us our answer is true!

Hope this helps :D