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Alika [10]
3 years ago
11

find three consecutive even integers such that the sum of the smallest number and twice the middle number is 20 more than the la

rgest number​
Mathematics
1 answer:
makkiz [27]3 years ago
7 0

Answer:

10, 12, 14

Step-by-step explanation:

x, x+2, x+4

x+2(x+2)=x+4+20

3x+4=x+24

2x=20

x=10

x=10

x+2=12

x+4=14

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How do I solve 2cos(x)=2sin(2x)
Vedmedyk [2.9K]
2cosx=2sin2x. Sin2x is an identity for 2sinxcos. So 2[2sinxcosx] gives you 4sinxcosx. 2cosx=4sinxcosx. Divide 2cosx on both sides and gives you 2sinx=0 and divide again, sinx=0. Sinx is 0 at 0 and 360 degrees, or pi and 2pi. So thats what x would be. 0,360,pi,2pi.
4 0
3 years ago
In many fast food restaurants, there is a strong correlation between a menu item's fat content (measured in grams) and its calor
Kruka [31]

Answer:

1. The slope of the least-squares regressin line is 11.364

2. The intercept of the least-squares regression line is 204.343

3. The residual corresponding to this observation is -10 calories

Step-by-step explanation:

1. In order to calculate the slope of the least-squares regressin line we would have to use the following formula:

slope of the least-squares regressin line=r*sy/sx

Therefore, slope=0.979*324.90/27.99

slope=11.364

2. In order to calculate the intercept of the least-squares regression line we would have to use the following formula:

intercept of the least-squares regression line=ybar - slope*xbar

intercept=662.88 - 11.364*40.35

intercept=204.343

3. In order to calculate the the residual corresponding to this observation we would have to use the following formula:

residual = observed y - predicted y

predicted y=11.364*x + 204.343

if the x value is 7, therefore predicted y=11.364*107 + 204.343

predicted y=1,420

Therefore, residual=1410 calories - 1420 calories

residual=-10 calories

8 0
3 years ago
The base of a triangle is one third of its height. If the area of the triangle is 24 square inches, what are the base and height
Burka [1]

Answer:

D. 4in, 12in

Step-by-step explanation:

Area of triangle  = 24in²

Unknown:

Base and height of the triangle = ?

Solution:

The area of a triangle  = \frac{1}{2} x base x height

   From the problem,

        base  = \frac{1}{3} x height

let the base  = b

            height  = h

         b =  \frac{1}{3}h

          h = 3b

Input into the formula of area;

       24  =  \frac{1}{2} x b x 3b

   Mulitply through by 2;

       48 = 3b²

         b² = 16

         b = √16 = 4

So, h = 3b= 3 x 4 = 12in

6 0
3 years ago
Please show work!!!!!!!
kolezko [41]

Answer:

B

Step-by-step explanation:

The cylindrical part

Area of the cylindrical part = Circumference of the circle * height

Area of the cylindrical part = pi * d * height

Area = 3.14 * 10 * 9

Area =                                                                                282.6

Lid

Area = pi * r^2

r = 5

Area = 3.14* 5^2 * 2

Area =                                                                         <u>         157</u>

Total                                                                                    439.6                                                                        

I know this doesn't look right according to the diagram, but it is the only way that you can solve the question. That is, you must assume there are two lids, not one as the diagram suggests.

4 0
3 years ago
Dolly used 10 pints of ice cream at her birthday party. Each person was served 2/5 pint of ice cream. How many people were serve
KonstantinChe [14]
25 people were served
5 0
3 years ago
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