All categories

2 years ago

Please answer this question now

Mathematics

1 answer:

olga_2 [115]2 years ago

4 0

Answer:

e =7.1

Step-by-step explanation:

$Hypotenuse = 10\\Opposite =e\\Adjacent =7\\\\Using\:Pythagoras\:Theorem\\Hypotenuse^2=Opposite^2+Adjacent^2\\10^2 =e^2 + 7^2\\100 =e^2+49\\100-49=e^2\\\\51 =e^2\\\sqrt{51} =\sqrt{e^2}\\ e = 7.141\\\\e = 7.1$

You might be interested in

Mary purchases four book online. The book were the same price each, and the shipping fee was $7.25. If the total cost was $55.25

Sonja [21]

Answer:

The price per book that Mary purchased is $12

Step-by-step explanation:

Mary's total cost can be expressed as;

C=(p×n)+s

where;

C=total cost

p=price per unit of books

n=number of books purchased

s=shipping fee

In our case;

C=$55.25

p=unknown

n=4

s=$7.25

replacing;

55.25=(4×p)+7.25

4 p+7.25=55.25

4 p=55.25-7.25

4 p=48

p=48/4

p=12

The price per book that Mary purchased is $12

6 0

3 years ago

The difference of the degrees of the polynomials p(x) = 3x2y2 + 5xy? - x6 and q(x) = 3x5 - 4x3 + 2 is

svet-max [94.6K]

Answer:

The difference of the degrees of the polynomials p (x) and q (x) is 1.

Step-by-step explanation:

A polynomial function is made up of two or more algebraic terms, such as p (x), p (x, y) or p (x, y, z) and so on.

The polynomial’s degree is the highest exponent or power of the variable in the polynomial function.

The polynomials provided are:

$p(x) = 3x^{2}y^{2} + 5xy - x^{6}\\\\q(x) = 3x^{5} - 4x^{3} + 2$

The degree of polynomial p (x) is:

$\text{deg}\ p (x)=6$

The degree of polynomial q (x) is:

$\text{deg}\ q (x)=5$

The difference of the degrees of the polynomials p (x) and q (x) is:

$\text{deg}\ p(x)-\text{deg}\ q(x)=6-5=1$

Thus, the difference of the degrees of the polynomials p (x) and q (x) is 1.

6 0

3 years ago

Factor the trinomial.<br><br> x2 + x − 2

elena-14-01-66 [18.8K]

Answer:

Is there anything that explains what x equals?

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

What is the slope of the line given by the equation y=-1/3x? Entee your answer as an integer or fraction in lowest terms.

Serhud [2]

-1/3

really? it's that easy dude.

whatever number is next to x, like say, 3x, that number would be the slope, so it would be 3.

hope it helped.

6 0

2 years ago

At the parents evening the ratio of mums to dads was 3:2. Out of 500 appointments how many were with mums?

guajiro [1.7K]

Answer:

300

Step-by-step explanation:

Sum the parts of the ratio : 3 + 2 = 5 parts

Divide the number of appointments by 5 to find the value of one part of the ratio, that is

$\frac{500}{5}$ = 100 ← value of 1 part of the ratio

The mums consisted of 3 parts, hence

3 × 100 = 300 ← appointments with mums

3 0

3 years ago