All categories

3 years ago

Find the missing side of the triangle and leave the answer in simplest radical form.

Mathematics

2 answers:

tatuchka [14]3 years ago

6 0

Answer:

x = $\sqrt5$

Step-by-step explanation:

Using Pythagoras theorem,

Square of longer side = Sum of square of other sides .

Therefore,

$(\sqrt{11})^2 = x^2 + (\sqrt{6})^2\\\\11 = x^2 + 6\\\\11 - 6 = x^2\\\\5 = x^2\\\\x = \sqrt 5$

lions [1.4K]3 years ago

6 0

Answer:

x = √5.

Step-by-step explanation:

By Pythagoras:

x^2 = (√11)^2 - (√6)^2

x^2 = 11 - 6 = 5

x = √5.

You might be interested in

The graph of f(x) is shown below. On a coordinate plane, a straight line has a negative slope and goes through (0, 6) and (3, 0)

Rudik [331]

Answer:

The intersection point is (2,2)

Step-by-step explanation:

First let's find the equation of f(x), using the linear model:

$f(x) = ax + b$

Using the point (0, 6), we have:

$6 = a*0 + b\\b = 6$

Using the point (3, 0), we have:

$0 = a*3 + 6\\3a = -6\\a = -2$

So we have that $f(x) = -2x + 6$

To find f'(x) (the inverse of f(x)), we can substitute f(x) by x and x by f'(x) in the equation of f(x) and then isolate f'(x):

$x = -2f'(x) + 6\\2f'(x) = -x + 6\\f'(x) = -x/2 + 3$

Now, to find the intersection point, we need to calculate f(x) = f'(x):

$-2x + 6 = -x/2 + 3\\3x/2 = 3\\3x = 6\\x = 2$

And the y-value is:

$y = -2x + 6 = -2*2 + 6 = 2$

So the point is (2,2)

4 0

3 years ago

Kate qualifies for a total of $9,450 in scholarships and grants per year, and she will earn $2,900 each year through a work-stud

gulaghasi [49]

Answer:

452

Step-by-step explanation:

6 0

2 years ago

Kelly has a rock garden with a length of 6 feet. She constructs a scale model of the rock garden using the

Annette [7]

Answer:

(a) 3 inches

(b) Her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches because the dimensions are not proportional to the scale.

Explanation:

(a) What is the length of the garden in her model? Show your work, including your proportion

<u>1. Scale</u>:

model length / real length = 1 inch / 2 feet

<u>2. Proportion</u>:

Naming x the model length:

1 inch / 2 feet = x / 6 feet

Cross multiply:

1 inch × 6 feet = 2 feet × x

Divide both sides by x:

x = 1 inch × 6 feet / 2 feet = 3 inch.

Answer: 3 inches

(b) If the width is 5 inches for the scale model and the scale is still 1 inch to 2 feet, will her scale model drawing fit on a piece of paper that is 8.5 inches by 7 inches? Why or why not?

Both the width and the length must use the same scale, thus the corresponding sides of the scale model and the drawing must be proportional.

In the model the ratio of the length to the width is 3 inch / 5 inch

In the paper the ratio of the length to the width is 8.5 inch / 7 inch

Hence, you can see that in the model the length (mumerator of the fraction) is less than the width (denominator) while in the paper it is the opposite. Bieng the two ratios different, they are not proportional, and you conclude that her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches.

8 0

3 years ago

What is equivalent ratio in lower terms of 55:30

Ahat [919]

Answer:

11/6

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Daisy Hill has saved $5,000 for her first semester of college. She plans to

Katarina [22]

Amount Daisy plans to spend on food is $625

Step-by-step explanation:

Step 1: Given total savings of Daisy = $5000. Find the amount spent by Daisy on her room

Amount spent on room = 3/4 of 5000 = 3/4 × 5000 = $3750

Step 2: Calculate the remaining amount.

Remaining amount = $5000 - $3750 = $1250

Step 3: Calculate the amount Daisy plans to spend on food

Amount to be spend on food = 1/2 of 1250 = 1/2 × 1250 = $625

5 0

3 years ago

Read 2 more answers