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3 years ago

Find the value of x to the nearest tenth.

Mathematics

2 answers:

r-ruslan [8.4K]3 years ago

8 0

Answer:

The value of x = 4√5

Step-by-step explanation:

Points to remember

For a right angled triangle

Hypotenuse² = Base² + Height²

To find the value of x

From the figure we can see a right angled triangle with,

hypotenuse = 6 and height = 4

Value of x = 2 * base

we have, Hypotenuse² = + Height²

Base² = Hypotenuse² - Height²

= 6² - 4²

= 36 - 16 = 20

Base = √20 = 2√5

x = 2 * 2√5 = 4√5

The value of x = 4√5

Kryger [21]3 years ago

5 0

Answer:

x = 8.9 (nearest tenth)

Step-by-step explanation:

6^2 - 4^2 = 36 - 16 = 20

x = 2 * (√20)

x = 2 * 4.47

x = 8.94

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The volume of the pyramid shown in the figure is cubic centimeters. If the slant height of the pyramid increases by 4 centimeter

Nostrana [21]

Answer:

Part a) The volume of the original pyramid is $15\ cm^{3}$

Part b) The volume of the pyramid increases by $6\ cm^{3}$

Step-by-step explanation:

The complete question is

Part 1) The volume of the pyramid shown in the figure is 9,15,21, or 63 cubic centimeters?. Part 2) If the slant height of the pyramid increases by 4 centimeters and its height increases by 2 centimeters, the volume of the pyramid increases by 6,9,12 or 21 cubic centimeters?

we know that

The volume of the pyramid is equal to

$V=\frac{1}{3}Bh$

where

B is the area of the base

h is the height of pyramid

see the attached figure to better understand the problem

Step 1

Find the volume of the original pyramid

the area of the base B is equal to

$B=3^{2}=9\ cm^{2}\\h=5\ cm$

substitute

$V=\frac{1}{3}(9)(5)=15\ cm^{3}$

Step 2

Find the volume of the new pyramid

$B=9\ cm^{2}$ -------> the area of the base is the same

$h=5+2=7\ cm$ ------> the height increase by

substitute

$V=\frac{1}{3}(9)(7)=21\ cm^{3}$

Subtract the original volume from the new volume

$21\ cm^{3}-15\ cm^{3}=6\ cm^{3}$

5 0

3 years ago

Plz help

Sergio039 [100]

2(5*4)+2(4*3)+2(3*5)=94 sq.m (Orginial SA)
2(4*5)+2(5*6)+2(6*4)=148 sq.m (Total SA)

148-94=54 (New SA)

4 0

3 years ago

Read 2 more answers

Help me, cause I'm tuck

r-ruslan [8.4K]

Answer:

The answer would be 1.33 x $10^{4}$

Step-by-step

1.28 x $10^{4}$ = 12800

5 x $10^{2}$ = 500

12800 + 500 = 13300

13300 = 1.33 x $10^{4}$ in scientific notation

Hope this helps:)

Sorry, I got the wrong answer earlier but I fixed it:)

8 0

3 years ago

NEED HELP ASAP ALGEBRA 2 Find the third side in simplest radical form

gladu [14]

Answer:

Step-by-step explanation:

a² + b² = c²

a² + 77² = 85²

a² + 5929 = 7225

a² = 1296

a = 36

3 0

3 years ago

Read 2 more answers

Question 13 y = - X + X^2

ankoles [38]

We have the following function that is a quadratic function:

$y=-x+x^2$

So the graph of this function is shown in the figure below. This is a parabola as you can see. The roots of this functions, that is, the x-intercepts are:

$y=-x+x^2 \\ y=x(x-1) \\ \\ x_{1}=0 \ and \ x_{2}=1$

As you can see in the figure. This function decreases from $(-\infty,0.5)$ and increases from $(0.5, \infty)$

Finally, it is important to note that the vertex is the point:

$V(0.5,-0.25)$

The answer is the second graph.

3 0

3 years ago