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3 years ago

Need help pls and thank you

Mathematics

1 answer:

jenyasd209 [6]3 years ago

5 0

Answer:

105 cm^3.

Step-by-step explanation:

Its volume = area of triangular side * length

= 1/2 * 5 * 7 * 6

= 105 cm^3.

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Use the identity (x+y)(x2−xy+y2)=x3+y3 to find the sum of two numbers if the product of the numbers is 10, the sum of the square

professor190 [17]

Answer:

The sum of two numbers is 7.

Step-by-step explanation:

Given : the product of the numbers is 10, the sum of the squares of the numbers is 29, and the sum of the cubes of the numbers is 133.

Using identity $(x+y)(x^2-xy+y^2)=x^3+y^3$ and given details, we have to find the sum of two numbers.

Since, given that the product of the numbers is 10 that is $xy=10$

Also, given the sum of the squares of the numbers is 29 that is $x^2+y^2=29$

and the sum of the cubes of the numbers is 133 that is $x^3+y^3=133$

Using, the given identity $(x+y)(x^2-xy+y^2)=x^3+y^3$ ,

Substitute, the given values, we have,

$(x+y)(29-10)=133$

Simplify , we get,

$(x+y)(19)=133$

Divide both side by 19, we have,

$(x+y)=7$

Thus, the sum of two numbers is 7.

7 0

3 years ago

Read 2 more answers

A truck can be rented from Company A for $70 a day plus $0.50 per mile. Company B charges $20 a day plus $0.60 per mile to r

r-ruslan [8.4K]

Answer:

The rental cost for Company A and Company B will be the same after 500 miles

Step-by-step explanation:

The total cost of renting a truck from Company A can be expressed as;

Total rental cost(Company A)=Cost per day+Total rate

where;

Cost per day=70

Total rate=rate per mile×number of miles (m)=(0.5×m)=0.5 m

replacing;

Total rental cost(Company A)=70+0.5 m...equation 1

2. The total cost of renting a truck from Company B can be expressed as;

Total rental cost(Company B)=Cost per day+Total rate

where;

Cost per day=20

Total rate=rate per mile×number of miles (m)=(0.6×m)=0.6 m

replacing;

Total rental cost(Company B)=20+0.6 m...equation 2

Equating equation 1 to equation 2

70+0.5 m=20+0.6 m

0.6 m-0.5 m=70-20

0.1 m=50

m=50/0.1

m=500 miles

The rental cost for Company A and Company B will be the same after 500 miles

7 0

3 years ago

Please help me please

lyudmila [28]

Answer:

Step-by-step explanation:

The absolute value of a negative makes it a positive so |-3| is actually just 3

5 0

2 years ago

I really need help with this

kari74 [83]

Answer:

Step-by-step explanation:

Any parallelogram has the area of the length between the left and right side times the length from the top to the bottom.

Here the horizontal length is easy, it's just 6. it tries to trick you witht he vertical length. You want the straight up nd down line from the top and bottom, which is that 8 on the right. so the area is 6*8

6*8 = 48

3 0

3 years ago

Two fair dice are rolled<br> What is the SAMPLE SPACE of the possible outcomes?<br> SHOW YOUR WORK!

serg [7]

ANSWER

See sample space below

EXPLANATION

The sample space refers to the set of all the possible outcomes.

When two fair dice are rolled, the possible by outcomes are:

{(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}

The total number of outcomes is 36.

3 0

3 years ago

Need help pls and thank you​

Need help pls and thank you