PLZ HELP WILL GIVE BRAINLIEST!!!

Isosceles right triangle ABC has a hypotenuse, AB, with a length of 18 feet.

kiruha [24]

we know that

if ABC is an isosceles right triangle

then

side AC=side BC

angle A=angle B=45 degrees

cos B=adjacent side angle B/hypotenuse

adjacent side angle B=BC

hypotenuse=AB------> 18 ft

angle B=45 degrees

cos 45°=(√2)/2

so

cos 45°=BC/AB-------> solve for BC

BC=AB*cos 45-------> BC=18*(√2)/2------> BC=9√2 ft

AC=BC--------> AC=9√2 ft

the answer part 1) is

the exact lengths of the two sides, AC and BC is

AC=9√2 ft

BC=9√2 ft

Part b) Find the Area of triangle ABC

Area=b*h/2-------> AC*BC/2-----> (9√2)*(9√2)/2--------> 81 ft²

the answer part b) is

the area of triangle ABC is equal to 81 ft²

7 0

3 years ago

Jon painted 4/5 of his house on Saturday on Sunday he paints 2/3 of what was left how much still needs to be painted

krok68 [10]

Answer: Jon has 1/5 left to paint

8 0

3 years ago

A home has a current market value of $225,000. MLS data from the last five years shows that home values have appreciated 6% per

Anastasy [175]

Answer:

THe value after 5 years will be $301100.755

Step-by-step explanation:

Each year the houses appreciates a 6%; as a result, the price of the house is multiplied by 1.06 for each passing year. If 5 years passed, then the price would multiply for 1.06 a total of 5 times, hence it will be multiplied by 1.06⁵.

The value of the house after 5 years will be

225000*1.06⁵ = $301100.755

8 0

4 years ago

Can u help me in this one please guys

Licemer1 [7]

<u>Given</u>:

The number 12 is the geometric mean between 3 and a number x.

We need to determine the value of x.

<u>Value of x:</u>

Since, we know that the geometric mean is the square root of the product of two numbers.

Hence, we have;

$Geometric \ mean= \sqrt{a \times b}$

where a and b are two positive numbers.

Substituting Geometric mean = 12, a = 3 and b = x, we get;

$12= \sqrt{3 \times x}$

Squaring on both sides, we get;

$12^2=3 \times x$

$144=3\times x$

Dividing both sides of the equation by 3, we have;

$48=x$

Thus, the value of x is 48.

5 0

3 years ago

A rectangle is divided into equal squares. One row covers 1/8 of the whole rectangle. There are 3 squares in each row. How many

LenaWriter [7]

Answer:

There are 24 squares in the entire rectangle

Step-by-step explanation:

Trom the problem, we are given that one row covers 1/8 of the entire rectangle.

We are also told that this one row, contains three squares.

In other words, what this means is that three squares cover 1/8 of the entire rectangle.

The question is now if three squares cover only 1/8 of the rectangle, how many squares cover the whole rectangle.

In fraction, we can represent a whole using 1/1

We can set up a simple relation to this effect.

3 squares give 1/8 of the rectangle

x squares give 1/1 of the rectangle

cross multiplying, we have

x = 3 ÷(1/8) = 24

Therefore, there are 24 squares in the entire rectangle

7 0

3 years ago