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Nataly [62]
3 years ago
7

A carpenter’s sketch of a room does not include a scale. She measures a wall that has been built and finds that it is 38.5 ft. l

ong. On the blueprint this wall is 7 in. long. What is the scale for this blueprint?
Mathematics
1 answer:
Vladimir79 [104]3 years ago
6 0

Answer:

1 inch on blueprint = 66 inch of real height

Step-by-step explanation:

Actual height of the wall is given as

H=38.5 ft.

so if we convert it into inch then we have

H=38.5 x 12

H=462inch  

now we know that this is shown by height of 7 inch in blueprint

so we have

7 inch on blueprint = 462 inch real height

so 1 inch of blueprint will show

h=\frac{462}{7} =66inch

so here we can say that scale will be

1 inch on blueprint = 66 inch of real height

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Stolb23 [73]

Answer:

what's wrong with her??

Step-by-step explanation:

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3 0
3 years ago
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An airline knows that 5 percent of the people making reservations on a certain flight will not show up. Consequently, their poli
kenny6666 [7]

Answer:

the probability that there will be a seat available for every passenger who shows up is 0.74

Step-by-step explanation:

if the probability of choosing a passenger that will not show up is 5% , then the probability of choosing a passenger that will show up is 95%.

Denoting event X= x passengers will show up from the total of 52 that purchased the ticket

Then P(X) follows a binomial probability distribution, since each passenger is independent from others. Thus

P(X) = n!/((n-x)!*x!)*p^x*(1-p)^(n-x)

where

n= total number of passengers hat purchased the ticket= 52

p= probability of choosing a passenger that will show up

x = number of passengers that will show up

therefore the probability that the number does not exceed the limit of 50 passengers is:

P(X≤50)=  ∑P(X=i)  from i=0 to i=50   =F(50)

where F(x) is the cumulative binomial probability distribution, then from tables:

P(X≤50)= F(50) = 0.74

therefore the probability that there will be a seat available for every passenger who shows up is 0.74

8 0
3 years ago
What is the formula for the sum of the interior angles of a polygon
andrey2020 [161]

Answer:

Sum of the interior angles = (n-2) x 180°

where

n is the number of sides of the polygon

Step-by-step explanation:

The formula for the sum of the interior angles of a polygon is:

sum=(n-2)*180

where

sum is the sum of the interior angle of the polygon

n is the number of polygons

Let's check the formula using an example:

We want to find the sum of the interior angles of a square, we know that a square has 4 sides, so n=4.

Replacing values

sum=(4-2)*180

sum=(2)*180

sum=360

We can apply the same procedure to any convex polygon with n sides.

7 0
3 years ago
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A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric f
likoan [24]

Step-by-step explanation:

Let x be the length and y be the width of the rectangular plot.

The plot is bounded on one side by a river and on the other three sides by a single-strand electric fence. It means,

x+2y = 1500

x = 1500 - 2y ....(1)

We know that the area of a rectangular plot is given by :

A = xy ....(2)

Put the value of x from equation (1) in (2)

A=(1500-2y)y\\\\A=1500y-2y^2 .....(3)

For largest area, differentiate above area equation wrt y.

\dfrac{dA}{dy}=\dfrac{d}{dy}(1500y-2y^2)\\\\=1500-4y\\\\\text{Put}\ \dfrac{dA}{dy}=0\\\\1500-4y=0\\\\y=\dfrac{1500}{4}\\\\=375

Put the value of y in equation (1).

x = 1500-2(375)

= 750 m

Put the value of y in equation (3).

A =1500(375)-2(375)^2\\A=281250\ m^2

Hence, the largest area is 281250 m² and its dimensions are 750 m and 375 m.

3 0
3 years ago
Determine if the two triangles are congruent. If they are, state how you know.
KIM [24]

Answer:

Well i dont know what all the sides/angles are called but no they are not congruent.

Step-by-step explanation:

Congruent, means for the 2 objects, shapes, etc. to be exactly the same. If you look at the triangles, they are not the same shape of triangle.

7 0
3 years ago
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