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Brums [2.3K]
2 years ago
14

Please only answer if u know will mark brainliest 25 POINTS Evaluate the following expression when x = 6 and y = 2:

Mathematics
1 answer:
andreev551 [17]2 years ago
7 0

Answer:

The answer is 5.5

Step-by-step explanation:

6 x 6 = 36

2x2x2 = 8

36 + 8 =    44

2 + 6 = 8

44/8 = 5.5

Therefore, the answer to this problem is 5.5

<u>I hope I helped! ^-^</u>

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Simplify. 3/5 +(− 1/4 ) 7/10 Enter your answer, in simplest form, in the boxes.
vitfil [10]

3/5+(-7/40)

=3/5-7/40

=24/40-7/40

=17/40

8 0
4 years ago
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I need help asap plz!!!​
svet-max [94.6K]

Answer:

AC ≈ 10.3

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan48° = \frac{opposite}{adjacent} = \frac{AC}{AB} = \frac{AC}{9.3} ( multiply both sides by 9.3 )

9.3 × tan48° = AC , then

AC ≈ 10.3 ( to 3 sf )

5 0
3 years ago
I need to find the surface area and volume of all three figures. If you could provide what equations you used to I will be grate
Margarita [4]

Answer:

Part 1) <em>Sphere</em> The surface area is equal to SA=196\pi\ m^{2} and the volume is equal to V=\frac{1,372}{3}\pi\ m^{3}

Part 2) <em>Cone</em> The surface area is equal to SA=(16+4\sqrt{65})\pi\ units^{2} and the volume is equal to V=\frac{112}{3}\pi\ units^{3}

Part 3) <em>Triangular Prism</em> The surface area is equal to SA=51.57\ mm^{2} and the volume is equal to V=17.388\ mm^{3}

Step-by-step explanation:

Part 1) The figure is a sphere

a) Find the surface area

The surface area of the sphere is equal to

SA=4\pi r^{2}

we have

r=14/2=7\ m ----> the radius is half the diameter

substitute

SA=4\pi (7)^{2}

SA=196\pi\ m^{2}

b) Find the volume

The volume of the sphere is equal to

V=\frac{4}{3}\pi r^{3}

we have

r=14/2=7\ m ----> the radius is half the diameter

substitute

V=\frac{4}{3}\pi (7)^{3}

V=\frac{1,372}{3}\pi\ m^{3}

Part 2) The figure is a cone

a) Find the surface area

The surface area of a cone is equal to

SA=\pi r^{2} +\pi rl

we have

r=4\ units

h=7\ units

Applying Pythagoras Theorem find the value of l (slant height)

l^{2}=r^{2} +h^{2}

substitute the values

l^{2}=4^{2} +7^{2}

l^{2}=65

l=\sqrt{65}\ units

so

SA=\pi (4)^{2} +\pi (4)(\sqrt{65})

SA=16\pi +4\sqrt{65}\pi

SA=(16+4\sqrt{65})\pi\ units^{2}

b) Find the volume

The volume of a cone is equal to

V=\frac{1}{3}\pi r^{2}h

we have

r=4\ units

h=7\ units

substitute

V=\frac{1}{3}\pi (4)^{2}(7)

V=\frac{112}{3}\pi\ units^{3}

Part 3) The figure is a triangular prism

a) The surface area of the triangular prism is equal to

SA=2B+PL

where

B is the area of the triangular base

P is the perimeter of the triangular base

L is the length of the prism

<em>Find the area of the base B</em>

B=\frac{1}{2} (2.7)(2.3)=3.105\ mm^{2}

<em>Find the perimeter of the base P</em>

P=2.7*3=8.1\ mm

we have

L=5.6\ mm

substitute the values

SA=2(3.105)+(8.1)(5.6)=51.57\ mm^{2}

b) Find the volume

The volume of the triangular prism is equal to

V=BL

where

B is the area of the triangular base

L is the length of the prism

we have

B=3.105\ mm^{2}

L=5.6\ mm

substitute

V=(3.105)(5.6)=17.388\ mm^{3}

5 0
3 years ago
The distance between two train stops is 160 miles the train will travel 3/4 miles per minute how long will it take the train to
Delicious77 [7]

Answer:

<h2> 3hours 55 minute</h2>

Step-by-step explanation:

Step one:

Given data

distance= 160miles

velocity = 3/4 miles per minutes

Step two:

Required:

time

we know that velocity is

v=distance/time

times= distance/velocity

time=160/3/4

time= 160*4/3

time=640/3

time=213.33333minuts

Time= 3hours 55 minute

8 0
3 years ago
Find the missing angle and classify the triangle below.
sergij07 [2.7K]

Answer:

Hello! answer: 60 and the triangle is a Equilateral because each measure is the same HOPE THAT HELPS!

5 0
3 years ago
Read 2 more answers
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