Xy = 50
x + y = 15

x = 15 - y

xy = 50

(5 - y)y = 50

5y - y^2 = 50

y^2 - 5y + 50 = 0

(y - 5)(y - 10) = 0

y - 5 = 0 or y - 10 = 0

y = 5 or y = 10

x + y = 15

For y = 5:

x + 5 = 15

x = 10

For y = 10

x + 10 = 15

x = 5

Answer: the numbers are 5 and 10.

5 0

2 years ago

In triangle abc angle a +angle b =90 then sin a =

Ivan

Answer:

$sin(a)=cos(b)$

Step-by-step explanation:

we know that

In the triangle abc

if $m\angle a+m\angle b=90^o$

then

$m\angle c=90^o$

Because, the sum of the interior angles in a triangle must be equal to 180 degrees

therefore

Triangle abc is a right triangle

see the attached figure to better understand the problem

The sine of angle a is equal to divide the opposite side to angle a by the hypotenuse

$sin(a)=\frac{x}{z}$

The cosine of angle b is equal to divide the adjacent side to angle b by the hypotenuse

$cos(b)=\frac{x}{z}$

therefore

$sin(a)=cos(b)$

When two angles are complementary, the sine of one angle is equal to the cosine of the other angle and the cosine of one angle is equal to the sine of the other angle

$sin(a)=cos(b)$

$cos(a)=sin(b)$

8 0

3 years ago

If figure 1 has 4 tiles, fig 2 has 10, and fig 3 has 16... What is my rule?

Sever21 [200]

Answer:

Add 6 each time.

Step-by-step explanation:

Figure 1 has 4 tiles.

To go from figure 1 (4 tiles) to figure 2 (10 tiles), you added 6 tiles.

To go from figure 2 (10 tiles) to figure 3 (16 tiles), you added 6 tiles.

∴ the rule is to add 6 tiles each time.

7 0

3 years ago

Brad has already cycled 28 kilometers this year, plus he plans to cycle 1 kilometer during each trip to work. After 21 trips to

zepelin [54]

Answer:

49 kilometers

Step-by-step explanation:

Since he cycles 1 km for each trip, he will have cycled 21 km after 21 trips.

Add this to his existing amount of km:

28 + 21

= 49

So, he will have cycled a total of 49 kilometers

6 0

3 years ago

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