All categories

2 years ago

The value of StartRoot 52 EndRoot. is between which two integers?

Mathematics

1 answer:

Archy [21]2 years ago

6 0

<h3>Answer: C) 7 and 8</h3>

===============================================

Explanation:

When you list out the perfect squares, notice that 49 and 64 are on that list.

These are values we focus on because 49 < 52 < 64

We'll apply the square root to all three sides

$49 < 52 < 64\\\\\sqrt{49} < \sqrt{52} < \sqrt{64}\\\\7 < \sqrt{52} < 8\\\\$

This shows that $\sqrt{52}$ is between 7 and 8

A calculator helps confirm this

$\sqrt{52} \approx 7.2111\\\\$

You might be interested in

A triangle has two sides of lengths 5 and 12 what value could be the third side check all that apply

seropon [69]

Answer:

9 and 11

Step-by-step explanation:

6 0

2 years ago

Wayne and Sarah both leave Sacramento at noon exactly. Wayne is driving west at 40 mph, while Sarah is driving south at 70 mph.

bulgar [2K]

Answer:

30units because we are dealing with speed

4 0

2 years ago

The volume of ice-cream in the cone is half the volume of the cone. The cone has a 3 cm radius and

zhannawk [14.2K]

Answer:

h = 5 cm

Step-by-step explanation:

Given that,

The volume of ice-cream in the cone is half the volume of the cone.

Volume of cone is given by :

$V_c=\dfrac{1}{3}\pi r^2h$

r is radius of cone, r = 3 cm

h is height of cone, h = 6 cm

So,

$V_c=\dfrac{1}{3}\pi (3)^2\times 6\\\\V_c=18\pi\ cm^3$

Let $V_i$ is the volume of icecream in the cone. So,

$V_i=\dfrac{18\pi}{2}=9\pi\ cm^3$

Let H be the depth of the icecream.

Two triangles formed by the cone and the icecream will be similiar. SO,

$\dfrac{H}{6}=\dfrac{r}{3}\\\\r=\dfrac{H}{2}$

So, volume of icecream in the cone is :

$V_c=\dfrac{1}{3}\pi (\dfrac{h}{2})^2(\dfrac{h}{3})\\\\9\pi=\dfrac{h^3}{12}\pi\\\\h^3=108\\\\h=4.76\ cm$

h = 5 cm

So, the depth of the ice-cream is 5 cm.

8 0

3 years ago

What is the value of y for the parallelogram shown?

dybincka [34]

Opposite angles in a parallelogram have to be equal so

3y=66
y=22

3 0

2 years ago

Read 2 more answers

We are interested in the amount that students study per week. Suppose you collected the following data in hours {4.4, 5.2, 6.4,

olga nikolaevna [1]

Answer:

Step-by-step explanation:

Hello!

The objective is to estimate the average time a student studies per week.

A sample of 8 students was taken and the time they spent studying in one week was recorded.

4.4, 5.2, 6.4, 6.8, 7.1, 7.3, 8.3, 8.4

n= 8

X[bar]= ∑X/n= 53.9/8= 6.7375 ≅ 6.74

S²= 1/(n-1)*[∑X²-(∑X)²/n]= 1/7*[376.75-(53.9²)/8]= 1.94

S= 1.39

Assuming that the variable "weekly time a student spends studying" has a normal distribution, since the sample is small, the statistic to use to perform the estimation is the student's t, the formula for the interval is:

X[bar] ± $t_{n-1;1-\alpha /2}$ * (S/√n)

$t_{n-1;1-\alpha /2}= t_{7;0.975}= 2.365$

6.74 ± 2.365 * (1.36/√8)

[5.6;7.88]

Using a confidence level of 95% you'd expect that the average time a student spends studying per week is contained by the interval [5.6;7.88]

I hope this helps!

3 0

3 years ago

Read 2 more answers