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joja [24]
3 years ago
8

Solve the system of equations

Mathematics
2 answers:
Elena L [17]3 years ago
6 0

Answer:

x=3

y=1

Step-by-step explanation:

9y= -9

Divide both sides by -9

y=1

2x + 4(1) = 10

2x = 6

x=3

(x,y)=(3,1)

Blababa [14]3 years ago
3 0

Answer:

x = 3

y = 1

Step-by-step explanation:

(2x + 4y = 10) * 2 = (4x + 8y =20)

4x = 20 - 8y

Plug that into the other equation

(20 - 8y) - y = 11

-9y = -9

y = 1

Plug this value into one of the original equations

2x + 4(1) = 10

2x = 6

x = 3

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What is the volume of a small cone if:
Amiraneli [1.4K]

Answer:

Volume of smaller cone =301.44

Step-by-step explanation:

First let angle of cone be\alpha.

then sin(\alpha ) = 3/5       (For bigger triangle)

Same cone angle is for smaller one because they are similar.

cos(\alpha ) = 4/5

Now for smaller cone radius be R

3/5 =R/Slant height

Slant height =5/3R

Lateral surface area =\frac{1}{2}R^{2}\beta  [R = slant height]  

Given lateral surface area =60\pi =\frac{1}{2}(\frac{5R}{3} )^{2} \beta   ...................................1

2\pi R=\frac{5R}{3}\beta        ................................................2

\beta=\frac{6\pi }{5}

Put angle beta in equation 1 and find the value of R

R =6 cm

Height =\frac{4R}{3}

Thus volume =\frac{1}{3}\pi6^{2}*8

                     =301.44

4 0
3 years ago
A certain experimental mathematics program was tried out in 2 classes in each of 32 elementary schools and involved 37 teachers.
zheka24 [161]

Answer:

A) 0 and 13

Step-by-step explanation:

64 - 37 = 27

27/2 = 13.5

13 teachers can teach 3 classes at max

6 0
3 years ago
What is 121 rounding to the nearest 100 and what is 252 rounding to the nearest 100
joja [24]
121 rounded to the nearest 100 is 100 because 121 is closer to 100 than 200.
252 rounded to the nearest hundred is 300 because 252 is closer to 300 than 100.
8 0
3 years ago
Read 2 more answers
9. (X + 8)^2 - 5 = 0
d1i1m1o1n [39]

Answer:

x + 59 = 0    

X= -59

Step-by-step explanation:

7 0
3 years ago
To run 12 miles, how many times must you run around a park that is 2 miles long and 1 mile wide?
Veronika [31]
Pretty sure it’s 6 miles
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