C=5(f-32)/9 make f the subject

22) Find the measure of angle A to the nearest degree. Find the length of side b, to tenths.

mr Goodwill [35]

Answer:

m∠A = 31

b = 13.3

Step-by-step explanation:

5 0

3 years ago

Sweets are sold loose, or pre-packed in 120g bags. The 120g bags are ?1.49 each. The loose sweets are ?0.89 for 100g. By calcula

tester [92]

Answer:

The loose sweets at ?0.89 for 100 g.

Step-by-step explanation:

First, calculate the price per gram. You do this by dividing the price by the grams.

?1.49 / 120 g = 1.49 / 120 = 0.0124 (4 dp)

Because the answer was very long, I have rounded it to 4 decimal places (4 dp).

?0.89 / 100 g = 0.89 / 100 = 0.0089

Next, you must calculate both pre-packed and loose sweets to the same weight. I am calculating them both to 100 g.

0.0124 x 100 = 1.24

0.0089 x 100 = 0.89

Finally, the cheapest product for 100 g will be the better value. In this case, it is the loose sweets.

6 0

3 years ago

ack has a collection of 10 pairs of gloves in his wardrobe. Before a business trip, he has to pack his luggage, and he selects 8

Leto [7]

Answer:

$\frac{{10 \choose 8}2^8}{{20 \choose 8}}\approx 0.091$

Step-by-step explanation:

We can think of the 10 pairs of gloves as simply being gloves of different colors. Picking no matching pair is the same as picking no 2 gloves of the same color. To compute the probability of doing so, we can compute the number of ways to select 8 gloves from different colors, and divide that by the total number of ways to select 8 random gloves out of the 20 gloves.

To compute the number of ways in which we can select 8 gloves from different colors, we can think of the choosing procedure as follows:

1st step- We choose from which 8 colors are we going to pick gloves from. So we have to pick 8 out of 10 colors. This can be done in ${10 \choose 8}$ ways.

2nd step - We now have to choose which glove are we going to pick from each of the chosen colors. Either the left one or the right one. For the first chosen color we have 2 choices, for the second chosen color we have 2 choices, for the third chosen color we have 2 choices, and so on. Therefore the number of ways in which we could choose gloves from the chosen colors is $2^8$

And so the total number of ways in which we could choose 8 gloves from different colors is

${10 \choose 8 }2^8$

Now, the total numer of ways in which we could choose 8 gloves out of the 20 gloves is simply ${20 \choose 8}$

So the probability of picking no mathing pair is

$\frac{{10 \choose 8}2^8}{{20 \choose 8}}\approx 0.091$

4 0

2 years ago

a line represented by y = 5x − 2 and a line perpendicular to it intersect at r(1, 3). what is the equation of the perpendicular

Snezhnost [94]

Y=ax+b, y=cx+d (a≠0, c≠0)
If the two line cross perpendicularly ⇔ ac= -1

So a tangent of the perpendicular line is "-(1/5)".

Then, the equation of the perpendicular line is y=-(1/5)x+a (a is <span> y-intercept</span>).

On the other hand, this equation pass r(1, 3), so

3 = -(1/5) times 1 + a

∴ a=16 / 5

Therefore, y=-(1/5)x+16 /5 is answer.

By the way, I'm Japanese so if you find some mistakes in my English, please let me know.

5 0

3 years ago

The graph at the right shows this system of equations y=x-3 y=-3x+1 what is the solution. Explain how you can verify that it is

oksano4ka [1.4K]

Answer:

I think it would be (1,-2)

Step-by-step explanation:

I can verify that it is a solution because y=1-3 is the same solution as y=-3+1

The results would be x=-2 for both

3 0

2 years ago