Lorrie places a 25-foot ladder against the side of a building with the bottom of the ladder 7 feet from the base of the building. How high up the wall does the ladder reach?The ladder reaches feet up the wall.(Round to the nearest whole number as needed)

The correct answer is 4/5

You can determine whether a triangle can be formed out of the given side lengths if two the side lengths added up is greater than the third side length in all cases

           2 + 4 > 5

            4 + 5 > 2

            2 + 5 > 4

So you can form a triangle with these side lengths.

Hope that helps!

Answer:

Yes, it will be an Isosceles triangle

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Answer:

A is the correct answer

Step-by-step explanation:

Hope this helps:)

Answer:

Step-by-step explanation:

To dilate the square by a factor of 1111 from the origin, we need to multiply each coordinate by 1111.

The coordinates of point C are (8,8). So, to find the coordinates of point C' after dilation, we can simply multiply each coordinate by 1111:

x-coordinate of C' = 1111 * 8 = 8888

y-coordinate of C' = 1111 * 8 = 8888

Therefore, the coordinates of point C' are (8888, 8888).

the equation of the line that passes through the points (2, 4) and (6, 2) is y = - 0.5x + 6.

The standard equation of a straight line is -

Ax + By + C = 0

Given is to find the equation of the line that passes through the points (2, 4) and (6, 2).

We can write the slope as -

{m} = (2 - 4)/(6 - 2)

{m} = -2/4

{m} = -1/2

{m} = -0.5

The slope - intercept form would become -

y = - 0.5x + c

For the point (2, 4), we can write the {y} - intercept as -

4 = - 0.5 x 2 + c

c = 6

Therefore, the equation of the line that passes through the points (2, 4) and (6, 2) is y = - 0.5x + 6.

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There were 5 1/4 bags of popcorn left after eating 4 bags.

To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.

Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:

9 1/4 = (4 * 9 + 1) / 4 = 37/4

Now, let's subtract the 4 bags eaten from the total:

37/4 - 4

To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:

37/4 - 4/1

Now, let's find a common denominator and subtract the fractions:

37/4 - 16/4 = (37 - 16) / 4 = 21/4

The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:

21/4 = 5 1/4

Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.

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Answer:

divisible by

1

2

3

4

6

9

12

18

36

Step-by-step explanation:

Answer:

a=-1

Step-by-step explanation:

1/2a=1/4a+2

by cross multiplying,

2a=4a+2

2a-4a=2

-2a=2

a=2/-2

a=-1

hope you understood  :)

Answer:

The first coordinate (usually the x-coordinate) is called the domain and the second (usually the y-coordinate) is called the range. If tou remember from earlier chapters the domain contains values that correspond to the independent variable whereas the range contains values corresponding to the dependent variable.

Step-by-step explanation:

I majored in Mathematics

Convert the problem to standard form and write the initial tableau with slack variables:

Maximize

\(Z = 7*3 + 6*4 + 18*5 + 14*6 - 3*1 - 3*2 - 4*5 - 4*6\)

Subject to:

\(x1 + x2 + s1 = 4000\\x3 - (1/3)*1 + (1/3)*5 = 0\\x4 - (1/3)*2 + (1/2)*6 = 0\\x3*1 + 3*2 + 3*3 + 3*4 + 3*5 + 2*6 + s2 = 6000\)

All variables are non-negative.

Tableau

 x1  x2  x3  x4  x5  x6  s1  s2   b

Z -3 -3 7 6 18 14 0 0 0

s1 1 1 0 0 0 0 1 0 4000

s2 3 3 3 3 3 2 0 1 6000

x5 0 0 1 0 1/3 0 0 0 0

x6 0 0 0 1 0 1/2 0 0 0

The basic variables are s1, s2, x5, and x6.

Step 1: Choose  entering variable. The most positive coefficient in objective row is 18, corresponding to x5. x5 enters the basis.

Step 2: Choose the leaving variable. The minimum ratio of right-hand side to coefficient of x5 is 12000/(1/3) = 36000,

corresponding to s1. s1 leaves the basis.

Step 3: Perform, pivot operation to make x5 the basic variable for s1. Divide, pivot row by 1/3 and subtract appropriate multiples of the pivot row from other rows to make other entries in column 5 zero.

 x1    x2    x3    x4     x5     x6   s1    s2       b

Z -3 -3 7 6 18 14 0 0 0

x5 0 0 1 0 1/3 0 0 0 0

s2 3 3 3 3 2 2/3 2/3 0 1/3 24000

x3 1 0 1/3 0 1/3 0 -1/3 0 0

x4 0 1 0 1/3 0 1/2 -1/6 0 0

The basic variables are x5, x3, x4, and s2.

Step 4: Choose the entering variable. The most positive coefficient in the objective row is 7, corresponding to x3. x3 enters the basis.

Step 5: Determine the leaving variable. The right-hand side's minimum ratio to the coefficient of x3 is 0, indicating that x3 can be increased without bound. This implies that the optimal solution is unbounded and that there is no finite optimal value for the problem.

As a result, the simplex algorithm demonstrates that the given linear programming problem lacks a feasible solution. This means that it is not possible to meet all of the constraints at the same time.

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I think the radius would be 2

From the two column proof below, we have seen ∠BAC ≅ ∠DAC by CPCTC

The two column proof to show that ∠BAC ≅ ∠DAC is as follows:

Statement 1: ΔABD is Isosceles with base BD, AC ⊥ BD

Reason 1: Given

Statement 2: AB ≅ AD

Reason 2:  Definition of isosceles Triangles

Statement 3: ∠1 and ∠2 are right angles

Reason 3: Definition of perpendicular

Statement 4: AC ≅ AC

Reason 4: Reflexive Property

Statement 5: ΔABC and ΔADC are right triangles

Reason 5: Definition of right triangle

Statement 6: ΔABC ≅ ΔADC

Reason 6: HL Congruency

Statement 7: ∠BAC ≅ ∠DAC

Reason 7: CPCTC

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Answer:

Bar graphs are used with nominal or ordinal scores; histograms are used with interval or ratio scores.

Step-by-step explanation:

The situations that have a net result of zero are:

The first situation results in a debt of $3 and then payment of $3, which cancels out the debt.

The second situation involves combining three atoms with a total charge of zero (2 atoms with a charge of negative 2, and 1 atom with a charge of positive 4).

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The average response time for the ambulance company is 13 minutes, with 95% of response times falling between 10 and 16 minutes.

The response times for a specific ambulance company follow a normal distribution with a mean of 13 minutes. This means that the majority of response times will cluster around the average of 13 minutes.

Furthermore, we know that 95% of the response times fall within the range of 10 to 16 minutes. This suggests that the response times are relatively consistent, with only a small percentage of outliers falling outside this range.

In summary, the average response time for this ambulance company is 13 minutes, and 95% of their response times fall between 10 and 16 minutes.

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Answer:

6 has the exponent of 1,  meaning that 6 does not need to be multiplied by it self. So it is simpily six.

Answer:

30 degrees,30 degrees120, degrees

Step-by-step explanation:

The ratio of the angles is 1:1:4.

Let’s represent the angles by 1x, 1x, and 4x.

The sum of the interior angles of a triangle is 180°.

1x + 1x +4x = 180    Combine like terms.

           6 x = 180    Divide each side by 6

               x = 30°

1x=1*30=30 degrees

1x=1*30=30 degrees

4x=4*30=120 desgrees

Answer:

30, 30, 120

Step-by-step explanation:

Basic properties of a triangle:

The problem:

To solve:

A) The property being used is the distributive property of multiplication.
B) The properties used to determine (9 x 6) x 5 mentally by multiplying (9 x 5) x 6 are the associative property of multiplication and the commutative property of multiplication.

The distributive property of multiplication is used when someone determines 24 x 12 by adding (24 x 10) and (24 x 2). This property is when we can split an expression that consists of the sum or difference of two terms multiplied by a third term.

This can be represented as a(b + c) = ab + ac or a(b - c) = ab - ac. In the problem, the expression 24 x 12 is split into 24 x 10 and 24 x 2 to make it easier to solve.
When someone determines (9 x 6) x 5 mentally by multiplying (9 x 5) x 6, they are using the associative property of multiplication and the commutative property of multiplication.

The associative property states that changing the grouping of the factors does not change the product. This can be represented as (a x b) x c = a x (b x c).

In the problem, the person multiplied 9 by 5 first and then multiplied the result by 6, which is the same as multiplying 6 by 9 first and then multiplying the result by 5.

The commutative property states that the order of the factors does not change the product. This can be represented as a x b = b x a. In the problem, the person switched the order of 9 and 5 to make it easier to solve mentally.

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1) We can convert this measurement by setting a proportion and cross multiplying that.

2) So, let's begin by writing the proportions:

So 13 yds are equivalent to 39 feet.

If the value of sin x = 0.2, then the values for sin(π - x) is 0.2.

Given that,

the value of sin x = 0.2

We have to find the value of sin(π - x).

We know the trigonometric rule that,

sin(π - x) = sin (x)

for any value of x.

So here whatever the value of x, the value of  sin(π - x) is sin (x) itself.

So here sin x = 0.2.

So, by the rule,

sin(π - x) = sin (x) = 0.2

Hence the value is 0.2.

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Answer:

On sixth week , she collects 2⁶ = $64.

She saves 2(1+2+4+8+16+32) = $126 in all.

Step-by-step explanation:

similar by AA

that is the answer

From the solution;

x = 62.62°

y = 8.9 cm

The sine rule (also known as the law of sines) is a mathematical formula that relates the sides and angles of a triangle. Specifically, it relates the ratios of the lengths of the sides of a triangle to the sine of the opposite angles.

By the use of the sine rule;

a/Sin A = c/Sin C

Sin C = cSin A/a

C = Sin-1(cSin A/a)

C = Sin-1(7.8 * sin 66.4/9.2)

C = 50.98°

B = 180 - (50.98° + 66.4)

B = 62.62°

Then;

a/Sin A = b/Sin B

9.2/Sin66.4 = b/Sin 62.62

b = 9.2 * Sin 62.62/Sin66.4

b = 9.2 * 0.89/0.92

b = 8.9 cm

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Using the concept of proportion, amount of gas needed to travel 250 miles is 9.5 gallons.

Given that,

Ms C's car uses 20 gallons of gas to travel 400 miles.

We have to first find the number of gallons of gas to be used to travel 250 miles.

Amount of gas used to travel 400 miles = 20 gallons

Using the concept of proportion,

Amount of gas used to travel 1 mile = 20 / 400

                                                           = 0.05 gallon

Amount of gas used to travel 250 miles = 0.05 × 250

                                                                  = 12.5 gallons

There is already 3 gallons of gas in her car.

Amount of gas needed = 12.5 - 3 = 9.5 gallons

Hence the amount of gas needed is 9.5 gallons.

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Answer:

Let y = the amount in Adrianna's savings account

Let x = the number of weeks passed

y = 5x + 20

All tables that represent proportional relationship between x and y are:

B. table B.

E. table E.

In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = (20 - 15)/(10 - 5) = (5 - 4)/(1 - 0)

Constant of proportionality, k = 1.

Therefore, the required linear equation is given by;

y = kx

y = x

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

sweefe

Step-by-step explanation:

EFEFEEa