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Advocard [28]
3 years ago
11

What is the value of h in the figure below? In this diagram, /\BAD ~ /\CBD.

Mathematics
1 answer:
dusya [7]3 years ago
3 0

Answer:

12

Step-by-step explanation:

(25-16) / h = h / 16

9/h = h/16

=144 ( 9 x 16)

h₂ = 144

h= square root 144

h= 12

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Dani uses the table to help her convert measurements when she is sewing
Aleks [24]
The first thing we should do is see what relationship we have:
 Table is feet to yards 3-1
 a. Describe the relationship between the number of feet and the number of yards
 That is to say:
 1Yarda = 3 feet
 b. Write an expression for the number of yards in f feet
 Let
 y = Yard
 f = feet
 We have the following expression for the conversion:
 y = (1/3) f
 c. Find the number of yards in 63 feet 
 For this case we must substitute in the expression found the value of f = 63.
 y = (1/3) f
 y = (1/3) (63)
 y = 21
 answer:
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 y = (1/3) f
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4 0
3 years ago
The product of 7,x, and y is represented by the expression 7xy. If the value of x is negative, what
Sphinxa [80]

Answer:

In the expression of 7xy, if x is negative, then y must also be negative for the product to be positive.

Let me know if this helps!

5 0
3 years ago
Read 2 more answers
Dilate the the triangle, scale factor = 3 (positive 3, ignore the
HACTEHA [7]

Answer:

The rule of dilation is P'(x,y) = 3\cdot P(x,y).

The vertices of the dilated triangle are A'(x,y) = (-21, -18), B'(x,y) = (-15,-10) and C'(x,y) = (-3,-15), respectively.

Step-by-step explanation:

From Linear Algebra, we define the dilation by the following definition:

P'(x,y) = O(x,y) + k\cdot[P(x,y)-O(x,y)] (1)

Where:

O(x,y) - Center of dilation, dimensionless.

k - Scale factor, dimensionless.

P(x,y) - Original point, dimensionless.

P'(x,y) - Dilated point, dimensionless.

If we know that O(x,y) = (0,0), k = 3, A(x,y) = (-7,-6), B(x,y) = (-5,-2) and C(x,y) =(-1,-5), then dilated points of triangle ABC are, respectively:

A'(x,y) = O(x,y) + k\cdot [A(x,y)-O(x,y)] (2)

A'(x,y) = (0,0) + 3\cdot [(-7,-6)-(0,0)]

A'(x,y) = (-21, -18)

B'(x,y) = O(x,y) + k\cdot [B(x,y)-O(x,y)] (3)

B'(x,y) = (0,0) + 3\cdot [(-5,-2)-(0,0)]

B'(x,y) = (-15,-10)

C'(x,y) = O(x,y) + k\cdot [C(x,y)-O(x,y)] (4)

C'(x,y) = (0,0) +3\cdot [(-1,-5)-(0,0)]

C'(x,y) = (-3,-15)

The rule of dilation is:

P'(x,y) = 3\cdot P(x,y) (5)

The vertices of the dilated triangle are A'(x,y) = (-21, -18), B'(x,y) = (-15,-10) and C'(x,y) = (-3,-15), respectively.

7 0
3 years ago
A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of mil
Alex Ar [27]

Answer:

<h2>2.5cup of milk</h2>

Step-by-step explanation:

Step one:

we are told that the ratio of milk to flour is 1.5cups to 3 cups

in other words, to prepare cake we need 1.5 cup of milk and 3 cups of flour

if we use 5 cups of flour we can balance up using the relation below

      1.5cups of milk require 3 cups of flour

      x cups of milk require 5 cups of flour

cross multiply we have

x=1.5*5/3

x=7.5/3

x=2.5cup of milk

6 0
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There is a population of 10,000 bacteria in a colony. If the number of bacteria doubles every 14 hours, what will the population
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Answer:

for the first 14 hours it doubles to 20,000, then once it reaches 28 hours it'll be 40,000. its an exponential growth

6 0
3 years ago
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