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kozerog [31]
2 years ago
11

Factories the following 5a + 5b

Mathematics
2 answers:
kumpel [21]2 years ago
5 0

Answer:

5a + 5b

= 5 ( a + b )

iragen [17]2 years ago
4 0

Answer:

5(a+b)

Step-by-step explanation:

5(a)+5(b)

5(a+b)

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Work out the area of a circle with the radius of 1 m​
777dan777 [17]

Answer:3.14

Step-by-step explanation:

r=pi*r sqaured

4 0
2 years ago
Read 2 more answers
WILL MAKE BRAINLIEST!!! A Ferris wheel has a diameter of 220 feet and the center of the wheel is 125 feet above the ground. The
daser333 [38]
Since the radius of a circle is half its diameter, the radius of our Ferris wheel is r= \frac{220}{2} =110ft

Next, we are going to convert from revolutions per minute to degrees per second.
We know that t<span>he wheel makes a complete turn every 2 minutes, so it makes a complete turn in 120 seconds. Since there are 360° in a complete turn, we can set up our conversion factor:
</span>\frac{1*360}{120}=3 degrees per second 
<span>
Now, lets find the height:
</span>We know that <span>the passenger is at the lowest point on the wheel when t=0; since the wheel is 125 feet above the ground, at t=0 h=125. To find t at the top, we are going to take advantage of the fact that the wheel will turn 180° from the lowest point to the top and that it turns 3° every second:
</span>t= \frac{180}{3}
t=60
Notice that the height at the top is the diameter of the wheel plus the height above the ground, so h=220+125=345.

To model the situation we are going to use the cosine function, but notice that cos (\alpha) is 1 when \alpha =0 and -1 wen \alpha =180. Since we want the opposite, we are going to use negative cosine.
Notice that we want \alpha =180 when t=60, so we are going to use -cos(3t). Next, we are going to multiply our cosine by the radius of our wheel: -110cos(3t), and last but not least we are going to add the sum of the radius of the wheel plus the height above the ground:
h=110+125-110cos(3t)
h=225-110cos(3t)

Now that we have our height function lets check if everything is working:
<span>the passenger is at the lowest point at t=0; we also know that the lowest point is 125 feet above the ground, so lets evaluate our function at t=0:
</span>h=225-110cos(3t)
h=225-110cos(3*0)
h=125 feet 
So far so good. 
We also know that at t=60, our passenger is 345 feet above the ground, so lets evaluate our function at t=60 and check if coincides:
h=225-110cos(3t)
h=225-110cos(3*60)
h=225-110cos(180)
h=345feet 

We can conclude that cosine function that express the height h (in feet) of a passenger on the wheel as a function of time t (in minutes) ) is: h=225-110cos(3t)
8 0
3 years ago
The correlation coefficient for the ages of drivers in a driver safety class and the number of traffic violations they have rece
Doss [256]
A correlation coefficient is always a value in between -1 and 1
The closest a coefficient to -1, the correlation is a strong negative correlation
The closest a coefficient to 1, the correlation is a strong positive correlation
The closest a coefficient to 0, there is no correlation at all

The coefficient -0.61 shows a strong negative correlation
This means that the relationship between the age and the violation is an inverse relationship; as age increases, violation decreases

Answer: option C
7 0
2 years ago
A fruit juice company includes 1.872 ounces of orange juice in a 6.65-ounce bottle of a mixed fruit
BigorU [14]

Answer:

4.778 ounces

Step-by-step explanation:

Given that:

Ounces of orange juice in mixed fruit juice = 1.872

Ounces of mixed fruit juice = 6.65 ounces

Ounces of Mixed fruit juice that is not orange juice :

(Ounces of mixed fruit juice - Ounces of orange juice)

(6.65 - 1.872) ounces

= 4.778 ounces

6 0
2 years ago
On a shopping trip in Los​ Angeles, Rosaria Perez ordered 120 pieces of​ jewelry: a number of bracelets at ​$10 each and a numbe
Tomtit [17]

9514 1404 393

Answer:

  • 50 bracelets
  • 70 necklaces

Step-by-step explanation:

Let n represent the number of necklaces Rosaria ordered. Then the total cost of the order is ...

  10(120 -n) +11(n) = 1270

  n = 70 . . . . . . . . . . . . . simplify, subtract 1200

  120 -70 = 50 . . . . . . . the number of bracelets

Rosaria purchased 70 necklaces and 50 bracelets.

8 0
3 years ago
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