All categories

2 years ago

Write yes if the given set of lengths are side lengths of a right triangle. Otherwise write No

Mathematics

1 answer:

Amiraneli [1.4K]2 years ago

7 0

Answer:

a) Yes

b) No

c) Yes

d) No

e) No

Step-by-step explanation:

Right triangle:

The square of the larger side is equals to the sum of the squares of the smaller sides.

a. 6, 8, 10

$6^2 + 8^2 = 36 + 64 = 100 = 10^2$

The answer is yes.

b. 8, 15, 16

$8^2 + 15^2 = 64 + 225 = 289 \neq 16^2 = 256$

So no.

c. 10, 24, 26

$10^2 + 24^2 = 100 + 576 = 676 = 26^2$

So yes

d. 20, 21, 28

$20^2 + 21^2 = 400 + 441 = 841 \neq 28^2 = 784$

So no.

e. 9, 35, 41

$9^2 + 35^2 = 81 + 1225 = 1306 \neq 41^2 = 1681$

You might be interested in

What is 8% of 200?<br> 25<br> 4<br> 16<br> 8

Mashcka [7]

Answer:

Step-by-step explanation:

Please mark brainliest!

6 0

2 years ago

Read 2 more answers

Jamie has $114.56 in her savings and count and her bank just raised the interest paid on her savings account by 1/2%. if her old

zaharov [31]

Answer:

0.5025%

Step-by-step explanation:

The question is on increase and decrease

The old interest rate= .5%⇒0.5%

percentage increase= 1/2%= 0.5%

New rate= it requires you to increase 0.5 by 0.5%

New rate is ⇒100%+ 0.5%=100.5%

New rate⇒(100.5/100)×0.5 =0.5025

New rate as a decimal is 0.5025%

5 0

2 years ago

What is (3. 1 times 10 Superscript 5 Baseline) (2. 2 times 10 Superscript 7 Baseline) in scientific notation? 5. 5 times 10 Supe

Kobotan [32]

The sum of the numbers expressed in scientific notations is given by: Option B: $6.82 \times 10^{12}$

<h3>How does scientific notations work?</h3>

The number is written in the form $a \times 10^b$ where we have $1 \leq a < 10$

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as:

Better readability due to compact representation
Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.

The given expression is:

$(3.1 \times 10^5) \times (2.2 \times 10^7)$

Evaluating the multiplication, we get:

$3.1 \times 2.2 \times 10^5 \times 10^7 = 6.82 \times 10^{5 +7} = 6.82 \times 10^{12}$

It is because of exponent rule that $a^b \times a^c = a^{b+c}$ , and because of commutative property of addition.

Thus, the sum of the numbers expressed in scientific notations is given by: Option B: $6.82 \times 10^{12}$

Learn more about scientific notation here:

brainly.com/question/3112062

3 0

2 years ago

P(x) is a polynomial with integer coefficients and p(3) = 0.

Mamont248 [21]

Answer:

The answer is below

Step-by-step explanation:

P(x) is a polynomial with integer coefficients and p(-3) = 0.

Which statements must be true? Choose all that apply.

x + 3 is a factor of the polynomial.

x - 3 is a factor of the polynomial.

-3 is the constant term of the polynomial.

p(x) can have at most 3 linear factors.

Solution:

Polynomial is an expression composed of variables, constants and exponents linked together by mathematical operations (addition, subtraction, multiplication and division)

Given that:

p(-3) = 0.

Since P(-3) = 0, this means that -3 is a factor of the polynomial. Hence:

The factor theorem states that states that if f(a) = 0, therefore a is a factor of the polynomial and hence (x - a) is a factor of polynomial f(x).

Therefore using the factor theorem, we get that x + 3 is a factor of the polynomial.

4 0

2 years ago

Over which interval(s) is the function decreasing? Please help me I will thank you and give you five stars ⭐️

Elena-2011 [213]

There’s no picture so I can’t help you I’m sorry :(

4 0

3 years ago