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natali 33 [55]
4 years ago
10

What is the length of the hypotenuse for a right triangle with legs of length 9 and 40? A) 41 B) 43 C) 45 D) 47

Mathematics
1 answer:
Katena32 [7]4 years ago
8 0

Answer:

A) 41

Step-by-step explanation:

Let the hypotenuse be denoted by h

perpendicular as p and base as b

According to the Pythagoras theorem

h²=p²+b²

h =  \sqrt{ {p}^{2} +  {b}^{2}  }

h =   \sqrt{ {(40)}^{2}  +  {(9)}^{2} }

h =  \sqrt{1600 + 81}  =  \sqrt{1681}

h = 41

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Find the radius of the circle whose equation is x^2 + y^2 = 4.
ludmilkaskok [199]

Answer:

Radius = 2.

Step-by-step explanation:

We have been given equation of the circle which is x^2 + y^2 = 4.

Now we need to find the radius of the given circle x^2 + y^2 = 4.

To find that let's compare with the formula of the circle with standard equation of the circle  x^2 + y^2 = r^2, where r is the radius.

We get r^2 = 4

take square root of both sides.

r=2

Hence radius of the given circle is r = 2.

3 0
3 years ago
An engineering student answered 81 questons correctly ona 90 question test. What percent of the question did she answer correctl
SIZIF [17.4K]

Answer:

correct answer = 90%

Step-by-step explanation:

Let x be the percent of the question did she answer correctly.

Given:

An engineering student answered 81 questions correctly on a 90 question test.

Find the percent of the question did she answer correctly.

Solution:

Percentage formula is given below

% answer =\frac{correct\ answer}{total\ questions}\times 100

% answer =\frac{81}{90}\times 100

% answer =\frac{81\times 100}{90}

% answer =\frac{81\times 10}{9}

% answer =9\times 10

% answer =90

correct answer = 90%

Therefore, she answered 90% correctly.

4 0
3 years ago
(x+4y+z)(x-7y) what are steps like associative, and commutative and distributive property in a polynomial expression
anzhelika [568]

Answer:

Step-by-step explanation:

your basically multiplying everything in the first parenthesis by everything in the second parenthesis

(x + 4y + z)(x - 7y) =

x(x - 7y) + 4y(x - 7y) + z(x - 7y) =....keep in mind, 4yx is the same as 4xy

x^2 - 7xy + 4xy - 28y^2 + zx - 7zy....combine like terms

x^2 - 3xy - 28y^2 + zx - 7zy <---- your answer

this is the distributive property

6 0
4 years ago
Find the first five terms of each sequence. aₙ=5-a n₋₁ , where a₁ = 1
laila [671]

The first five terns of the sequence are - 1,4,1,4,1

<h3>What is a sequence?</h3>

A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. It has members, just like a set does. The length of the sequence is determined by the number of items.

an = 5 - a n-1

a1 = 1

a2 = 5 - (1) = 4

a3 = 5 - (4) = 1

a4 = 5 - (1) = 4

a5 = 5 - (4) = 1

To learn more about sequences from given link

brainly.com/question/7882626

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7 0
1 year ago
Hareem takes a medicine to control his blood pressure. he takes a 25 mg pill in the morning. suppose that 60% of the medicine is
Vikentia [17]

The recursive definition for the amount of the blood pressure medicine in hareem bloodstream after n hours would be a_1=25, a_n = 0.60_{n-1} +25

Hence, option B is correct.

<h3>What is the recursive rule?</h3>

A rule is defined such that its definition includes itself.

Example:

F(x) = F(x-1) + c

is one such recursive rule.

Hareem takes medicine to control his blood pressure.

he takes a 25 mg pill in the morning.

Suppose that 60% of the medicine is processed by hareem's body by the time he takes a second 25 mg pill in the evening.

So, the recursive definition for the amount of the blood pressure medicine in hareem bloodstream after n hours would be;

a_1=25, a_n = 0.60_{n-1} +25

Hence, option B is correct.

Learn more about the recursive rule here:

brainly.com/question/12620593

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5 0
2 years ago
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