A house plan is drawn to the scale of 1/4 inch = 4 ft. What is the length of the house if it measures 3 3/8 inches on the floor plain.​

Answer:

85

Step-by-step explanation:

So you train of though might lead you to soemthing like this: it must be 90 degrees, since that looks like a 90 degree triangle, and there are 180 degrees in a line. So 90 degrees and 90 degrees make up the 180.

That is exactly what I though.

But, its a bit different from that. We do not know for sure that its a 90 degree traingle. Depending on the angle of the traingle, the outcome of the mystery number is different.

So, to find the angle of the trainge, lets take our 155 degree line.

Now, this is just a simple line. We know the line is 180, and that the other number must add onto 155 to make 180:

180-155=missing angle

=

25. So we know that the smallest angle of the traingle is 25.

We also know that a traingle has a total of 180 degrees.

We can add the 60 degrees and our new 25 degrees, subtract if from 180, and we will get our last angle of the traingle we need to solve:

60+25

=

85

Now subtract it from 180:

180-85

=

95

So that last angle of the traingle is 95.

Now, we need to solve the missing angle of the line that will give us the answer.

Again, we know the line has to be 180, so lets subtract 95 from that:

180-95

=

85

So we know that the missing angle answer is 85!

I hope this isnt too confusing and helps! :)

Answer: it’s true i just did the quiz

Step-by-step explanation:

Chord BC is a diameter of the circle as passes from the center O of the circle and its end points B,C lies on the circle so the statement is true.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

O is the center of the Circle

Chord BC is the line segment passing from the center of circle

Chord is a line segment whose end points lies on the circle.

Diameter is defined as a line segment passing from the center of the circle whose end point lies on the circle.

A chord that passes through the centre of a circle is called a diameter, and it is the longest chord.

Hence, chord BC is a diameter of the circle as passes from the center O of the circle and its end points B,C lies on the circle so the statement is true.

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Answer:

35C12 = 834451800

Step-by-step explanation:

.............

The solution of the given expression is 3.33  x  10⁹.

The arrangement of the different things or numbers in a number of ways is called the combination.

The solution will be:-

[tex]^{35}{C_{12}=\dfrac{35!}{12!\ 23!}\\\\\\\\\\\\\\^\\35}{C_{12}=\dfrac{35\times 34\times 33\times32\times 31\times 30\times 29\times 28\times 27\times 26\times 25\times 24}{12\times 11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times }\\\\\\[/tex]

[tex]^{35}{C_{12}=3.33\times 10^9[/tex]

Therefore the solution to the given expression will be [tex]^{35}{C_{12}=3.33\times 10^9[/tex]

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Answer:

y = –5x + 5

Step-by-step explanation:

Answer: 5+81.65≈85  

How to: Estimate.

Have a great day and stay safe !

Answer:

No

Step-by-step explanation:

Those are only 2 angles and they already equal 180, Every single triangle has a sum of 180 and if you already hit 180 with only 2 out of the 3 points, it's not possible

Answer:

No

Step-by-step explanation:

No, because the 3 angles of a triangle have to add up to 180 degrees. The given 2 angles already add up to 180 degrees leaving no room for the missing angle.    

Answer:

35

Step-by-step explanation:

- x - = +

Therefore :

-5 x - 7 = 35

Answer:

m<3=84

m<4=96

Step-by-step explanation:

180-43-41=96

180-96=84

The measure of ∠3 is 96° and measure of ∠4 is 64°.

What is Triangle?

A triangle is a three sided polygon , which has three vertices and three angles with sum 180 degree.

Given that;

In triangle,

Measure of first angle (m ∠1 ) = 43°

Measure of second angle (m ∠2) = 41°

Let measure of ∠4 = x degree

Now, Sum of all angles in a triangle be 180 degree.

So, We can formulate;

m∠1 + m∠2 + m∠3 = 180°

43° + 41° + x = 180°

84° + x = 180°

x = 180° - 84°

x = 96°

So, measure of ∠3 = 96°

Since, The measure of ∠3 and measure of ∠4 are supplementary angles.

Hence, We get;

m ∠3 + m ∠4 = 180°

96° + m ∠4 = 180°

m ∠4 = 180° - 96°

m ∠4 = 64°

Thus, The measure of ∠3 is 96° and measure of ∠4 is 64°.

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Answer:

$-69.94

Step-by-step explanation:

Amount left after the withdrawal to fix the furnace = $400.56 - $450.50 = $-49.94

He has a negative balance for 4 days. this would attract a 5 dollar fee per day. the total fee would be $20 ( 5 x 4)

Total amount left in his account = $-49.94 - $20

Answer:

[tex]\rm\implies y = 4x + 3 [/tex]

Step-by-step explanation:

Given :-

And we need to find the equation of the line. On looking at the graph we see that , it cuts y axis at (0,3) .So the y Intercept of the equation is 3 .

Slope Intercept Form :-

[tex]\rm\implies y = mx + c[/tex]

Substituting the respective values :-

[tex]\rm\implies y = 4*x + 3 \\\\\rm\implies y = 4x + 3 [/tex]

Hence the equation of line is y = 4x + 3

Answer:

2x+3

Step-by-step explanation:

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

The equations describe parallel lines. There are no values of x and y that will satisfy both equations.

In standard form, the two equations are ...

  3x +7y = 21

  3x +7y = -42 . . . . . with positive leading coefficient

If (x, y) values satisfy the first equation, they cannot satisfy the second equation, and vice versa.

Answer: 471.24 (with 3.14 as pi)

Step-by-step explanation:

Volume of cylinder = pi*r^2*height

Radius = 10/2 = 5

Pi*25^2*6 = 471.24

Answer:

B

Step-by-step explanation:

log4x = 2.1

logx/log4 = 2.1

logx = log(4) x 2.1

logx = 1.264

x = 10^(1.264)

x = 18.38 (to two d.p)

Answer:

Second Option

Step-by-step explanation:

[tex]5^2 + 7^2 = PQ^2[/tex] (pythagorean theorem)

[tex]PQ^2 =74[/tex]

[tex]PQ = \sqrt{74}[/tex]

Answer:

A) 1320 yeards

Step-by-step explanation:

.25 mile is 440 yards so js multiply by 3

Step-by-step explanation:

The graph of a quadratic equation in two variables (y = ax^2 + bx + c ) is called a parabola. The following graphs are two typical parabolas their x-intercepts are marked by red dots, their y-intercepts are marked by a pink dot, and the vertex of each parabola is marked by a green dot: (Given in attachment for diagram)

We say that the first parabola opens upwards (is a U shape) and the second parabola opens downwards (is an upside down U shape). In order to graph a parabola we need to find its intercepts, vertex, and which way it opens.

Given y = ax^2 + bx + c , we have to go through the following steps to find the points and shape of any parabola:

Label a, b, and c.

Decide the direction of the paraola:

If a > 0 (positive) then the parabola opens upward.

If a < 0 (negative) then the parabola opens downward.

Find the x-intercepts:

Notice that the x-intercepts of any graph are points on the x-axis and therefore have y-coordinate 0. We can find these points by plugging 0 in for y and solving the resulting quadratic equation (0 = ax^2 + bx + c). If the equation factors we can find the points easily, but we may have to use the quadratic formula in some cases. If the solutions are imaginary, that means that the parabola has no x-intercepts (is strictly above or below the x-axis and never crosses it). If the solutions are real, but irrational (radicals) then we need to approximate their values and plot them.

Find the y-intercept:

The y-intercept of any graph is a point on the y-axis and therefore has x-coordinate 0. We can use this fact to find the y-intercepts by simply plugging 0 for x in the original equation and simplifying. Notice that if we plug in 0 for x we get: y = a(0)2 + b(0) + c or y = c. So the y-intercept of any parabola is always at (0,c).

Find the vertex (h,k):

To find the x-coordinate for the vertex we use the following formula:

To find the y-coordinate for the vertex we plug in h in the original equation:

k = a(h)2 + b(h) + c

Plot the points and graph the parabola  

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Answer:

b

Step-by-step explanation:

Answer:

0.1322 = 13.22% probability that the soldier is mal-adjusted.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Positive test

Event B: Soldier is mal-adjusted.

Probability of a positive test:

55% of 5%(mal-adjusted).

19% of 100 - 5 = 95%(well adjusted). So

[tex]P(A) = 0.55*0.05 + 0.19*0.95 = 0.208[/tex]

Probability of a positive test and soldier being mal-adjusted.

55% of 5%. So

[tex]P(A \cap B) = 0.55*0.05 = 0.0275[/tex]

What is the probability that the soldier is mal-adjusted?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0275}{0.208} = 0.1322[/tex]

0.1322 = 13.22% probability that the soldier is mal-adjusted.

Answer:

$1200.50

plug 5 for n

5000(.7)^4

5000*.2401

=1200.5

Answer:

B

Step-by-step explanation:

surface area is finding the area of each portion of the net and adding them all up together. all the triangles are congruent, so we can start by finding the area of one of them and multiplying that area by 4 (since there are 4 triangles in this net). the formula for the area of a triangle is 1/2 bh. this is (1/2)(5.95)(5.1) which equals approximately 15.17. 4 multiplied by this is 60.68. the area of the square is length multiplied by width, which is 26.01. 60.68+26.01=86.69, which is the closest to answer choice B.

Answer:

i know this is not the option but i did the maths and the correct answer

the answer is 96.815 you dont have to give me brainliest tho since it was not an option but i got 96.815 anyways

Step-by-step explanation

1.  5.95*5.95= 35.4025

2. but since it is a triangle it should be devided by 2 which is 17.70125

3. since there are 4 triangles you have to multiply it by 4 which is 70.805

4. 5.1*5.1=26.01

5. 26.01+70.805= 96.815

Answer: A IS CORRECT

Step-by-step explanation:

Solution :

As we can see from the following question that  :

[tex]$\text{Seller A}$[/tex] charges [tex]$3$[/tex] for their house, [tex]$C_A=3$[/tex]

[tex]$\text{Seller B}$[/tex] charges [tex]$2$[/tex] for their house, [tex]$C_B=2$[/tex]

[tex]$\text{Seller C}$[/tex] charges [tex]$1$[/tex] for their house, [tex]$C_C=1$[/tex]

Now depending on the valuation that each buyer have on these three houses, they derive utility from it :

Buyer I

Valuation for house A, [tex]$V'_A=1$[/tex]

Valuation for house B, [tex]$V'_B=3$[/tex]

Valuation for house C, [tex]$V'_C=2$[/tex]

Utility that buyer I derives from :

House A, [tex]$V_A = V'_A-C_A = 1-3 = -2$[/tex]

House B, [tex]$V_B = V'_B-C_B = 3-2 = 1$[/tex]

House C, [tex]$V_C = V'_C-C_C = 2-1 = 1$[/tex]

As we can see from buying house B and C, buyer I has positively utility, so the buyer will be interested to buy house B and C. As the utility derived from both the houses is same, he will be indifferent.

Buyer II

Valuation for house A, [tex]$V^2_A=5$[/tex]

Valuation for house B, [tex]$V^2_B=5$[/tex]

Valuation for house C, [tex]$V^2_C=5$[/tex]

Utility that buyer II derives from :

House A, [tex]$V_A = V^2_A-C_A = 5-3 = 2$[/tex]

House B, [tex]$V_B = V^2_B-C_B = 5-2 = 3$[/tex]

House C, [tex]$V_C = V^2_C-C_C = 5-1 = 4$[/tex]

Buyer II drives positive utility from all the three houses, so he will be interested to buy any of them but will be inclined towards house C, as it gives the buyer more utility.

Buyer III

Valuation for house A, [tex]$V^2_A=5$[/tex]

Valuation for house B, [tex]$V^2_B=3$[/tex]

Valuation for house C, [tex]$V^2_C=2$[/tex]

Utility that buyer III derives from :

House A, [tex]$V_A = V^2_A-C_A = 5-3 = 2$[/tex]

House B, [tex]$V_B = V^2_B-C_B = 3-2 = 1$[/tex]

House C, [tex]$V_C = V^2_C-C_C = 2-1 = 1$[/tex]

The buyer III derives positive utility from all the three houses but will be more inclined to buy house A as it gives the buyer higher utility as compared to the other houses.