All categories

3 years ago

The length of a rectangle is 5 units and its width is 4 units. What is the approximate length of the diagonal of the rectangle?

Mathematics

2 answers:

Inessa05 [86]3 years ago

6 0

Answer:

The approximate length of the diagonal of the rectangle = 6.4 units ⇒ B

Step-by-step explanation:

* Lets revise the properties of the rectangle

- The rectangle has 4 sides

- Each two opposite sides are parallel and equal in length

- It has for right angles

- Its two diagonals are equal in length

- The diagonal divide the rectangle into two congruent right triangles

* Now lets solve the problem

∵ The length of the rectangle = 5 units

∵ The width of the rectangle = 4 units

∵ The diagonal of the rectangle with the length and the width formed

right triangle, the length and the width are its two legs and the

diagonal is its hypotenuse

- To find the length of the hypotenuse use Pythagoras theorem

∵ Hypotenuse = √[(leg1)² + (leg2)²]

∴ The length of the diagonal = √[5² + 4²] = √[25 + 16] = √41

∴ The approximate length of the diagonal of the rectangle = 6.4 units

V125BC [204]3 years ago

6 0

Answer:

Step-by-step explanation:

using pythagoras theorem:

d=(5^2+4^2)^1/2

=6.4 units

You might be interested in

Determine between which consecutive integers the real zeros of y(x) = x2 - 4x – 2 are located.

Sholpan [36]

Answer:

The zeros are x1=4.45 and x2=-0.45.

x1 is between 4 and 5.

x2 is between -1 and 0.

Step-by-step explanation:

We have the function:

$y(x) = x2 - 4x-2$

As this is a quadratic function, we can calculate the zeros of the function with the quadratic equation:

$x_{1,2}=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-4)\pm\sqrt{(-4)^2-4\cdot 1\cdot(-2)}}{2\cdot 1}\\\\\\x=\dfrac{4\pm\sqrt{16+8}}{2}\\\\\\x=\dfrac{4\pm\sqrt{24}}{2}\\\\\\x=\dfrac{4\pm4.9}{2}=2\pm2.45\\\\\\x_1=2+2.45=4.45\\\\x_2=2-2.45=-0.45$

The zeros are x1=4.45 and x2=-0.45.

x1 is between 4 and 5.

x2 is between -1 and 0.

7 0

3 years ago

Read 2 more answers

Rewa Delta Union Rugby CEO has become concerned about the slow pace of the rugby games played in the current union rugby, fearin

ozzi

Answer:

We conclude that the mean duration of 15-sided union rugby games has decreased after the meeting.

Step-by-step explanation:

We are given that Before the meeting, the mean duration of the 15-sided rugby game time was 3 hours, 5 minutes, that is, 185 minutes.

A random sample of 36 of the 15-sided rugby games after the meeting showed a mean of 179 minutes with a standard deviation of 12 minutes.

Let $\mu$ = mean duration of 15-sided union rugby games after the meeting.

So, Null Hypothesis, $H_0$ : $\mu \geq$ 185 minutes {means that the mean duration of 15-sided union rugby games has increased or remained same after the meeting}

Alternate Hypothesis, $H_A$ : $\mu$ < 185 minutes {means that the mean duration of 15-sided union rugby games has decreased after the meeting}

The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean duration of 15-sided union rugby games = 179 min

s = sample standard deviation = 12 minutes

n = sample of 15-sided rugby games = 36

So, the test statistics = $\frac{179-185}{\frac{12}{\sqrt{36} } }$ ~ $t_3_5$

= -3

The value of t test statistics is -3.

Now, at 1% significance level the t table gives critical value of -2.437 at 35 degree of freedom for left-tailed test.

Since our test statistic is less than the critical value of t as -3 < -2.437, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the mean duration of 15-sided union rugby games has decreased after the meeting.

6 0

3 years ago

How many roots does a linear equation have?

Semmy [17]

Answer:

1 root

Step-by-step explanation:

A linear equation should only cross the x-axis at one point. That means there would only be 1 root. (Root is when y= 0)

6 0

4 years ago

What's the most effective method for controlling inventory ? a ) Electronically , by reviewing billing receipts b ) Electronical

mina [271]

Answer:

a ) Electronically , by reviewing billing receipts

Step-by-step explanation:

The main purpose of controlling inventory is to make sure that the optimal amount of products are being kept.

Therefore, option A is correct.

8 0

2 years ago

Macy is painting a design that contains two repeating patterns. One pattern repeats every 8 inches. The other repeats every 12 i

spayn [35]

Answer:

8-inch pattern is fully printed 28 times.

12-inch pattern is fully printed 19 times.

Patterns start at the same place 9 times

Step-by-step explanation:

1. 19 feet is 228 inches.

2. 8-inch pattern is fully printed 28 times.

3. 12-inch pattern is fully printed 19 times.

4. 8-inch patterns starts at`0,8,16,24,32,40,48...

5. 12-inch pattern starts at 0,12,24,48...

6. As you see they start at the same place after 24 inches.

7. 228/24=9.5, => They start at the same place 9 times.

3 0

3 years ago