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3 years ago

Which expressions represent rational numbers? Check all that apply.

Mathematics

2 answers:

monitta3 years ago

8 0

Answer:

A B E

Step-by-step explanation:

JulijaS [17]3 years ago

5 0

Answer:

Which statements about square roots are true? Check all that apply.

The square root of a positive number cannot be negative.

All positive numbers have two square roots.

StartRoot 18 EndRoot= 9 because 9(2) = 18.

StartRoot 49 EndRoot= 7 because 7(7) = 49.

StartRoot 25 EndRoot = 5 because 52= 25.

Step-by-step explanation:

B,D, and E

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Draw a parallelogram with a 10-cm side, a 6-cm side, and a 60° angle between the sides

BigorU [14]

Answer:

So, you probably want to get a ruler to make sure there a 10-cm side and a 6-cm side. You will also need a protractor to make an exact 60-degree angle between the sides.

Step-by-step explanation:

It should look something like this.

Note: this parallelogram is not drawn to scale. In other words, this parallelogram does not have the exact angles and side measure. (It just an example)

5 0

3 years ago

What is significant figures

bija089 [108]

Answer:

Significant figures are the number of digits in a value, often a measurement, that contribute to the degree of accuracy of the value. We start counting significant figures at the first non-zero digit.

Step-by-step explanation:

8 0

3 years ago

PLEASE ANSWER WILL GIVE POINTS!!!!!!!!!!!

iris [78.8K]

Given:

The figure of a right triangle ABC.

To find:

The trigonometric ratios $\sin B, \tan A, \cos B$ .

Solution:

Using Pythagoras theorem,

$Hypotenuse^2=Perpendicular^2+Base^2$

$AB^2=AC^2+BC^2$

$(10)^2=(6)^2+BC^2$

$100-36=BC^2$

$64=BC^2$

Taking square root on both sides.

$\sqrt{64}=BC$

$8=BC$

So, measure of BC is 8 units.

Now,

$\sin \theta=\dfrac{Opposite}{Hypotenuse}$

$\sin B=\dfrac{AC}{AB}$

$\sin B=\dfrac{6}{10}$

$\sin B=\dfrac{3}{5}$

Similarly,

$\tan \theta=\dfrac{Opposite}{Adjacent}$

$\tan A=\dfrac{AC}{BC}$

$\tan A=\dfrac{6}{8}$

$\tan A=\dfrac{3}{4}$

And,

$\cos \theta=\dfrac{Adjacent}{Hypotenuse}$

$\cos B=\dfrac{BC}{AB}$

$\cos B=\dfrac{8}{10}$

$\cos B=\dfrac{4}{5}$

Therefore, the required trigonometric ration are $\sin B=\dfrac{3}{5}, \tan A=\dfrac{3}{4}, \cos B=\dfrac{4}{5}$ .

6 0

3 years ago

Suppose that administrators at a large urban high school want to gain a better understanding of the prevalence of bullying withi

RSB [31]

Answer: $(0.273,\ 0.783)$

Step-by-step explanation:

Given : Total number of students who are asked to complete a survey anonymously : n= 240

Number of students

The proportion report that they have experienced bullying =54

Then , the proportion that students have experienced bullying = $p=\dfrac{54}{240}=0.225$

Significance interval : $\alpha=1-0.95=0.05$

Critical value : $z_{\alpha/2}=1.96$

The confidence interval for the true proportion is given by :-

$p\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}\\\\=0.225\pm (1.96)\sqrt{\dfrac{(0.225)(1-0.225)}{240}}\\\\\approx0.225\pm0.0528\\\\=(0.255-0.528,\ 0.255+0.528)\\\\=(0.273,\ 0.783)$

8 0

3 years ago

Find the volume of a coffee can with r=7.5 cm, h= 16.8 cm, to the nearest cubic centimeter.

andriy [413]

Answer:

V = 2968.8 cm³ or 2969 cm³

Step-by-step explanation:

Given the radius, r = 7.5 cm, of a cylindrical coffee can whose height, h = 16.8 cm:

We can find the volume of a cylinder by using the following formula:

V = πr²h

Substitute the given values into the formula:

r = 7.5 cm

h = 16.8 cm

V = πr²h

V = π(7.5)²(16.8)

V = π × 56.25 × 16.8

V = 2968.8 cm³ or 2969 cm³

Therefore, the volume of a coffee can is 2969 cm³.

8 0

3 years ago