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3 years ago

Which of the following is best described as sets of three whole numbers (a, b, and c) that satisfy the equation ?

Mathematics

2 answers:

juin [17]3 years ago

4 0

Answer:

Option C

Step-by-step explanation:

The whole numbers a,b and c such that $a^2+b^2 = c^2$ are Pythagorean triples satisfying the Pythagorean theorem.

Alex17521 [72]3 years ago

4 0

Answer:

Step-by-step explanation:

a, b, and c are side lengths of the triangle.

The three side lengths that make up a right triangle are most commonly known as Pythagorean triples.

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Simplify 7^6 . 7^5 my son needs this to pass grade

kicyunya [14]

Step-by-step explanation:

Here we can see the both numbers are 7 with different powers so we can sum up the powers

${7}^{6 + 5}$

${7}^{11}$

6 0

3 years ago

What is the area of this triangle ?

oee [108]

Answer:

Area of triangle is 9.88 units^2

Step-by-step explanation:

We need to find the area of triangle

Given E(5,1), F(0,4), D(0,8)

We will use formula:

$Area\,\,of\,\,triangle =\sqrt{s(s-a)(s-b)s-c)} \\where\,\, s = \frac{a+b+c}{2}$

We need to find the lengths of side DE, EF and FD

Length of side DE = a = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side DE = a = $=\sqrt{(5-0)^2+(1-8)^2}\\=\sqrt{(5)^2+(-7)^2}\\=\sqrt{25+49}\\=\sqrt{74}\\=8.60$

Length of side EF = b = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side EF = b = $=\sqrt{(0-5)^2+(4-1)^2}\\=\sqrt{(-5)^2+(3)^2}\\=\sqrt{25+9}\\=\sqrt{34}\\=5.8$

Length of side FD = c = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

Length of side FD = c = $=\sqrt{(0-0)^2+(8-4)^2}\\=\sqrt{(0)^2+(4)^2}\\=\sqrt{0+16}\\=\sqrt{16}\\=4$

so, a= 8.60, b= 5.8 and c = 4

s = a+b+c/2

s= 8.6+5.8+4/2

s= 9.2

Area of triangle= $=\sqrt{s(s-a)(s-b)s-c)}\\=\sqrt{9.2(9.2-8.6)(9.2-5.8)(9.2-4)}\\=\sqrt{9.2(0.6)(3.4)(5.2)}\\=\sqrt{97.5936}\\=9.88$

So, area of triangle is 9.88 units^2

4 0

3 years ago

The cost of a car is $15,570. You plan to make a down payment of $1,500, and a monthly payment of $388.08 for 60 months.

sergiy2304 [10]

1. 15.570-1500= 14070. Yes it is B

7 0

3 years ago

The length of a rectangle is four times the width. The perimeter of the rectangle is 45 inches. Write a system of equations that

Nady [450]

Step-by-step explanation:

2×length + 2×width = 45

length = 4×width

now, we are using the second equation (a variable identity) in the first equation

2×4×width + 2×width = 45

8×width + 2×width = 45

10×width = 45

width = 45/10 = 4.5 in

length = 4×width = 4×4.5 = 18 in

the area of the rectangle is

length × width = 18 × 4.5 = 81 in²

8 0

2 years ago

Christine runs 10 miles in 75 minutes. At the same rate, how many miles would she ru I miles

Len [333]

Answer:

$\frac{46}{5}$ miles [or, 9.2 miles]

Step-by-step explanation:

Complete Question:

Christine runs 10 miles in 75 minutes. At the same rate, how many miles would she ru n in 69 minutes?

Solution:

We need to find the unit rate first and then find our answer. To get unit rate, we need to know the number of miles she runs in "1 minute". So, we will divide number of miles by number of minutes, that is given. Hence:

$\frac{10}{75}=\frac{2}{15}$

That means in 1 minute, Christine runs 2/15th of a mile.

Now, we want to know how many miles she will run in 69 minutes. We simply multiply unit rate (2/15) by the number of minutes (which is 69). Thus we have:

$\frac{2}{15}*69=\frac{2*23}{5}=\frac{46}{5}$

In decimal, doing division, that is 9.2 miles

7 0

3 years ago