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3 years ago

Use the Pythagorean Theorem to find the missing measure

Mathematics

2 answers:

Veronika [31]3 years ago

6 0

Before answering the question let's cover over Pythagorean Theorem.

$a^{2} + b^{2} = \sqrt{c}$

We would first find six squared and then we would find 8 squared and add those numbers together.

 $6^{2}$ = 36
$8^{2}$ = 64

We then add these numbers.

64+36=100

We are almost done! Now we just need to find the square root of 100. In this case, we find square root by finding a number that can be multiplied by itself which would be 10 in this scenario.

$10^{2}$ = 100

Therefore, the square root of 100 would be 10 and the answer would also be 10. The missing measure is 10m.

The missing measure is 10m.

Lorico [155]3 years ago

3 0

A^2 + B^2 = C^2
6^2 + 8^2 = C^2
C is 10^2

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in the diagram, a building casts a 35-ft shadow and a flagpole casts a 10-ft shadow. if the flagpole is 22tall, how tall is the

8_murik_8 [283]

Let, the height of the building be x ft.

Given the building casts 35ft shadow.

The height of the flagpole given which is 22ft and casts a shadow of 10ft.

Now to find the height of the building we have to equate the ratio of height and shadow of the building and the flagpole.

So we can write,

x/35 = 22/10

To find x, we have to get rid of 35 from the left side and have to move it to right side. As 35 is divided there, we will multiply 35 to both sides.

(x/35)× 35 = (22/10)×35

x = (22×35)/10

x = 770/10

x = 77

So, the height of the building is 77 ft which is the required answer here.

8 0

3 years ago

Expand this expression (x-y)²

pochemuha

Answer:

x^2 - 2xy + y^2.

Step-by-step explanation:

(x - y)^2

= (x - y)(x - y)

= x(x -y) - y(x - y)

= x^2 - xy - xy + y^2

= x^2 - 2xy + y^2.

8 0

3 years ago

A pack of water bottles contains 24 bottles. A man decided to buy 3 bottles of water. How much bottles of water did he buy?

lukranit [14]

Answer: 1/8 pack

Step-by-step explanation:

Pack of bottles = 24 bottles

Bought = 3 bottles

24 bottles ___ 1 pack

3 bottles ___ x= 3/24 pack

(3 bottles * 1 pack) / ( 24 bottles) = 3/24 packs = 1/8 pack

3 0

3 years ago

F(x) = (1/4)^x. for x = -3

Trava [24]

Plug in -3 for x into the equation.

(1/4)^-3

And solve

(1/4)^-3 = 64

7 0

3 years ago

Read 2 more answers

Prove divisibility 45^45·15^15 by 75^30

Anuta_ua [19.1K]

Answer:

$3^{75}$

Step-by-step explanation:

We are asked to divide our given fraction: $\frac{45^{45}*15^{15}}{75^{30}}$ .

We will simplify our division problem using rules of exponents.

Using product rule of exponents $(a*b)^n=a^n*b^n$ we can write:

$45^{45}=(3*15)^{45}=3^{45}*15^{45}$

$75^{30}=(5*15)^{30}=5^{30}*15^{30}$

Substituting these values in our division problem we will get,

$\frac{3^{45}*15^{45}*15^{15}}{5^{30}*15^{30}}$

Using power rule of exponents $a^m*a^n=a^{m+n}$ we will get,

$\frac{3^{45}*15^{45+15}}{5^{30}*15^{30}}$

$\frac{3^{45}*15^{60}}{5^{30}*15^{30}}$

Using quotient rule of exponent $\frac{a^m}{a^n}=a^{m-n}$ we will get,

$\frac{3^{45}*15^{60-30}}{5^{30}}$

$\frac{3^{45}*15^{30}}{5^{30}}$

Using product rule of exponents $(a*b)^n=a^n*b^n$ we will get,

$\frac{3^{45}*(3*5)^{30}}{5^{30}}$

$\frac{3^{45}*3^{30}*5^{30}}{5^{30}}$

Upon canceling out $5^{30}$ we will get,

$3^{45}*3^{30}$

Using power rule of exponents $a^m*a^n=a^{m+n}$ we will get,

$3^{45+30}$

$3^{75}$

Therefore, our resulting quotient will be $3^{75}$ .

8 0

3 years ago