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2 years ago

Number 4 I have no idea how to do.

Mathematics

1 answer:

natta225 [31]2 years ago

3 0

Volume is a three-dimensional scalar quantity. The cost of the glass is $1312.24.

<h3>What is volume?</h3>

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given the colony must be able to take a volume of 200,000 cubic meters, therefore, the diameter of the hemisphere will be,

The volume of Hemisphere = (2/3)πr³

200,000 = (2/3) × π × R³

R = 45.7

The area of the base of the hemisphere is,

Area of the base = πR² = π×(45.7) = 6561.185 meters²

Given the cost of glass is $0.20 per square meter, therefore, the cost of the glass of the base will be,

Cost of glass = 6561.185 × 0.20 = $1312.24

Hence, the cost of the glass is $1312.24.

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WILL GIVE BRAINLIEST IF CORRECT

SCORPION-xisa [38]

9514 1404 393

Answer:

5544 square units

Step-by-step explanation:

Translation does not change the dimensions of the figure. The two figures together tell you the right triangle has a base of 154 units and a height of 72 units.

The area of a triangle is given by ...

A = 1/2bh

A = 1/2(154 units)(72 units) = 5544 square units

The areas of each of the triangles are 5544 square units.

8 0

3 years ago

Find the 52nd term of the following arithmetic sequence.<br> 17, 22, 27, 32, ...

rewona [7]

Answer:

17; 22; 27; 32

the terms increase by 5 each time

17 + 5 = 22 (the second term)

17 + 5 * 2 = 27 (third term)

So to get to the 52nd term, we have to add 5* 51 = 255 to 17

17 + 255 = 272

Step-by-step explanation:

4 0

3 years ago

Y=x+4, 2x+y=13 solve the following system of equation. Please help

alexandr1967 [171]

Well you have to subtract -2 to both sides and it well look like Y= -2+13 and then y=x+4

7 0

3 years ago

Use the discriminant to determine the number of solutions to the quadratic equation 3x^2+5x=-1

kari74 [83]

Answer:

Two real distinct solutions

Step-by-step explanation:

Hi there!

<u>Background of the Discriminant</u>

The discriminant $b^2-4ac$ applies to quadratic equations when they are organised in standard form: $ax^2+bx+c=0$ .

All quadratic equations can be solved with the quadratic formula: $x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}}$ .

When $b^2-4ac$ is positive, it is possible to take its square root and end up with two real, distinct values of x.

When it is zero, we won't be taking the square root at all and we will end up with two real solutions that are equal, or just one solution.

When it is negative, it is impossible to take the square root and we will end up with two non-real solutions.

<u>Solving the Problem</u>

We're given the above equation. It hasn't been organised completely in $ax^2+bx+c=0$ , but we can change that by adding 1 to both sides to make the right side equal to 0:

$3x^2+5x+1=0$ <u />

Now that we can identify the values of a, b and c, we can plug them into the discriminant:

$D=b^2-4ac\\D=(5)^2-4(3)(1)\\D=25-4(3)(1)\\D=25-12\\D=13$

Therefore, because the discriminant is positive, the equation has two real, distinct solutions.

I hope this helps!

4 0

3 years ago

Given that D is the midpoint of AB and B is the midpoint of AC which statement must be true a) AD= 1/3AC

garik1379 [7]

Answer:

AD = 1/4AC

Step-by-step explanation:

Given that,

D is the the midpoint of AB

Therefore

AB = AD + DB

Since, D is the midpoint of the AB, therefore AD = DB

AB = AD + AD

AB = 2AD (i)

Similarly, B is the midpoint of AC

Hence,

AC = AB + BC

AC = AB + AB (because B is the midpoint)

AC = 2AB (ii)

By putting the value of AB from equation i to equation ii, we get

AC = 2(2AD)

AC = 4AD

AC/4 = AD

AD = 1/4AC

3 0

3 years ago