Can someone please help me ASAP

Please help I’ll make you the brainiest

Kitty [74]

Answer:

Length of smaller side = 15 inches

Length of bigger side = 36 inches

Length of hypotenuse = 39 inches

Step-by-step explanation:

Given:

Length of smaller side = a

Length of bigger side = (a + 21) inches

Length of hypotenuse = (a + 24) inches

Find:

Length of all side

Computation:

Using Pythagorean theorem

Hypotenuse² = Base² + Perpendicular²

(a+24)² = a² + (a+21)²

a² + 576 + 48a = a² + a² + 441 + 42a

a² - 6a - 135 = 0

(a-15)(a+7)

So

a = 15 inches a = -7 inches

So,

Length of smaller side = a = 15 inches

Length of bigger side = (a + 21) inches = 15 + 21 = 36 inches

Length of hypotenuse = (a + 24) inches = 15 + 24 = 39 inches

6 0

3 years ago

Evaluate using exact values 1-cos45/1+cos45

Lisa [10]

Knowing that cos(45°) = 1/√2 is the way forward.

$\frac{1-\frac{1}{\sqrt{2}} }{1+\frac{1}{\sqrt{2}}} = \frac{\sqrt{2}-1}{\sqrt{2}+1} = 3 - 2\sqrt{2}$

The last step in the equation may not be obious, but the trick here is to multiple numerator and denominator with (1-√2), then the denominator has the special product (a+b)(a-b) = a²-b².

3 0

3 years ago

(03.01 MC)

vekshin1

Answer:

Option (1) will be the answer.

Step-by-step explanation:

Coordinates of the points A and B lying on the line f are (0, 2) and (2, 0) respectively.

Slope of the line f,

$m_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m_{1}=\frac{2-0}{0-2}$

$m_{1}=-1$

After dilation of line f by a scale factor of 2, coordinates of A' and B' will be,

Rule for dilation,

(x, y) → (kx, ky)

Where k = scale factor

A(0, 2) → A'(0, 4)

B(2, 0) → B'(4, 0)

Slope of line f',

$m_{2}=\frac{0-4}{4-0}$

$m_{2}=-1$

Since, $m_{1}=m_{2}=-1$

Therefore, both the lines f and f' will be parallel.

Option (1) will be the answer.

6 0

4 years ago

Consider the following survey question: "Most Americans consider a cell phone to be a necessity. Do you agree?" This is an examp

Anna35 [415]

Answer:leading Question

Step-by-step explanation:

Leading Question is the type of question that implicitly encourages a respondent to answer in a particular way. Leading questions are generally inappropriate as they lead to false and slanted information.

for example: If you ask an employee that "Do you have any Problem with your boss?"

This questions explicitly encourages the employee to think that there are Problems.

Another example is that

"How fast is truck moving when it crashed into the car?"

This question directly blames the truck that it is at fault.

Similarly, the above question indicates that all Americans must possess cell phones

5 0

4 years ago

Please help the first correct answer gets brainleist

Sedbober [7]

Answer:

38 1/2 meters

Step-by-step explanation:

You have to multiply 28× 1 3/8

You can convert yhe 1 3/8 to an improper fraction, then multiply, and convert back to a mixed number. See image.

OR,

you can distribute the 28 over the sum of 1 and 3/8. This just keeps the fraction a little bit smaller and you can practice distributive property see image

5 0

3 years ago