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olga nikolaevna [1]
3 years ago
8

Please awnser asap asap

Mathematics
1 answer:
netineya [11]3 years ago
8 0

9514 1404 393

Answer:

  h > 0, only integers

Step-by-step explanation:

One can only buy integer numbers of packages of hotdogs, so the domain is integer values.

Since we "must" buy more than 0 packages, the appropriate domain specification is ...

  h > 0, only integers

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A rectangle with an area of 4/7 meters squared is dilated by a factor of 7. What is the area of the dilated rectangle?
nikklg [1K]

Answer:

49

Step-by-step explanation:

Every time you multiply both sides of a rectangle by a number x, its area if multiplied by x^{2}.

In our example:

Area of a rectangle = width . length

width = 4

length   = 7

A_{1} = 4 . 7 = 28

When you multiply both sides by 7:

width = 4 . 7 = 28

length = 7 . 7 = 49

A_{2}  = 28 . 49

A_{2}  = 1372

A_{2}  / A_{1} = 1372 / 28 = 49 = (7)^{2}

Both sides multiplied by 7 => Area multiplied by 7^{2}

Got it?

;-)

7 0
3 years ago
How many distinct triangles can be formed for which m∠X = 51°, x = 5, and y = 2? zero one two
Vitek1552 [10]
From the law of sines, we have:

\displaystyle{ \frac{\sin \angle X}{x}= \frac{\sin \angle Y}{y}, 

where x and y are the sides opposite to angles X and Y, respectively.


Substituting the known values, we have:



\displaystyle{ \frac{51^{\circ}}{5}= \frac{\sin \angle Y}{2}, thus

                           \displaystyle{ \sin \angle Y=\frac{\sin 51^{\circ}}{5}\cdot2\approx \frac{0.777}{5}\cdot2=0.31.


Using a calculator, we can find that arcsin(0.31)=18 degrees, approximately.

We know that sine of (180-18)=162 degrees is also 0.31. But 162 and 51 degrees add up to more than 180 degrees.

Thus, there is only one triangle that can be formed under these conditions.


5 0
3 years ago
Read 2 more answers
What is the area of this figure? ​
Delvig [45]

Answer:

33

Step-by-step explanation:

5 0
3 years ago
What is the measure of Q?
SVETLANKA909090 [29]

Answer:

<Q = 30

Step-by-step explanation:

2x + 70 + x - 10 = 180

3x + 60 = 180

3x = 120

x = 40

x - 10

40 - 10

30

<Q = 30 because of vertical angles

6 0
2 years ago
Read 2 more answers
Expand the following expression: 15(2+5x)
lorasvet [3.4K]

Answer:

30+75x

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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