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3 years ago

Suppose someone tells you that she has a triangle with sides having lengths 3.5, 4.5 and 5.5 yards. Is this a right triangle?

2 answers:

5 0

You can solve by using Pythagoras theorem.
Let the longest side be c.
a^2 + b^2 = c^2
If this holds, it is a right angle.

But, 3.5^2 + 4.5^2 is not equal to 5.5^2.

Sloan [31]3 years ago

3 0

I don't know.
Let's find out.
If it IS a right triangle, then . . .

(square of the shortest side)
plus
(square of the medium side)
adds up to
(square of the longest side).

Shortest side = 3.5 . Its square is (3.5)² = 12.25
Medium side = 4.5 . Its square is (4.5)² = 20.25
(square of the shortest side) + (square of the medium side) = 32.5 .

Longest side = 5.5 . Its square is (5.5)² = 30.25 .

30.25 is NOT equal to 32.5 .

So this is NOT a right triangle.

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vichka [17]

To solve this, you divide the price by the amount of ounces, and find the one which results in the smallest number. That was B, $4.29 for 12 ounces.

4 0

3 years ago

if £5000 Is placed into a bank account that pays 2% compound interest per year, how much will be in the account after two years

timurjin [86]

Answer:

£5200

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 2%/100 = 0.02 per year,

then, solving our equation

I = 5000 × 0.02 × 2 = 200

I = £ 200.00

The simple interest accumulated

on a principal of £ 5,000.00

at a rate of 2% per year

for 2 years is £ 200.00.

5 0

2 years ago

What is the value of the expression when p = 7? 9p-7 A. 12 B.27 C.36 D.60

professor190 [17]

Answer:

Step-by-step explanation:

Just substitute 7 for p in the expression 9p - 7: 9(7) - 7 = 56

6 0

3 years ago

An advertising company conducted a survey to determine how often people of different ages shopped online. The table shows the da

ohaa [14]

Answer:

Teens who use online shopping sometimes = 6

total number of people who use online shopping sometimes = 20

total percentage of teens using online shopping sometimes = 6/20*100 => 30%

hope it helps

have a nice day

4 0

3 years ago

3. Which statements about the line that passes through (-2, 0) and (2, -4) are true?

diamong [38]

Answer:

B, C, and D.

Step-by-step explanation:

Let's go through each answer choice.

A: To find the slope of a line from two points, we use this formula: $(y_2-y_1)/(x_2-x_1)$ . Plugging in the values (-2,0) and (2, -4), we get:

$(-4-0)/(2+2)$

$-4/4$
$-1$

Because option A says the slope is 1, but we got -1, option A is false.

B: To find the y-intercept, we use this formula: $b = y_1 - m * x_1$

$b = 0 -(-1) * (-2)$

$b = 1 * (-2)$

$b = -2$

Since we know the value of b is the y-intercept, we could write the y-intercept as (0,-2). Therefore, option B is true.

C: The equation of a line (in slope-intercept form) is y = mx + b, where y - y-coordinate, m = slope, x = x-coordinate, and b = y-intercept. Since we already solved for the y-intercept and slope, let's plug in those values:

$y = mx +b$
$y = -x -2$

As you can see, the equation we got here matches the one in option C, meaning it's true.

D: We know that a point is written like this: (x, y). If the x-coordinate is not zero but the y-coordinate is, then it's the x-intercept. Since the question says that (-2,0) is one of the points the line passes through, and option D says that the x-intercept is (-2,0), it's true.

8 0

3 years ago

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