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4 years ago

Use the net to find the surface area of the prism

Mathematics

2 answers:

Angelina_Jolie [31]4 years ago

7 0

The answer is 118 :}

Zepler [3.9K]4 years ago

5 0

Hey, I think the answer is 377. Sorry if I'm wrong

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Which graph best represents a function with range -4 ≤ y ≤ 3?

Lana71 [14]

Answer:

3rd one

Step-by-step explanation:

7 0

3 years ago

What is the area of rhombus ABCD? Enter your answer in the box. Do not round at any steps. put the answer in units²

AlladinOne [14]

Answer:

Therefore the Area of Rhombus ABCD is 36 unit².

Step-by-step explanation:

Given:

ABCD is a Rhombus

A = (-1,0)

B = (5,-3)

C = (-1,-6)

D = (-7 ,-3)

To Find:

Area of Rhombus ABCD = ?

Solution:

We know that Area of Rhombus is given as

$\textrm{Area of Rhombus}=\dfrac{1}{2}\times d_{1}\times d_{2}$

Where ,

d₁ and d₂ are the Diagonals.

We have,

Diagonals as AC and BD,

Using Distance Formula we get

$l(AC) = \sqrt{((x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} )}$

Substituting coordinates A and C we get

$l(AC) = \sqrt{((-1-(-1))^{2}+(-6-0)^{2} )}=\sqrt{36}\\l(AC)=6\ unit$

Similarly for BD we have,

$l(BD) = \sqrt{((5-(-7))^{2}+(-3-(-3))^{2} )}=\sqrt{144}\\l(BD)=12\ unit$

Now Substituting AC and BD in Formula we get

$\textrm{Area of Rhombus}=\dfrac{1}{2}\times AC\times BD$

$\textrm{Area of Rhombus}=\dfrac{1}{2}\times 6\times 12=36\ unit^{2}$

Therefore the Area of Rhombus ABCD is 36 unit².

6 0

3 years ago

A new auditorium is begging built for a college the balcony has 200 seats the floor has 25 rows with x seats in each row the num

aliya0001 [1]

Question:

A new auditorium is being built for a college. The balcony has 200 seats. The floor has 25 rows with x seats in each row. The number of people in the auditorium must be under 750 to meet safety regulations. What is the solution of this inequality, and what is its meaning?

Answer:

$200 + 25x < 750$

Number of seats in a row must be less than 22

Step-by-step explanation:

Given

Total = Less than 750

Current Seats = 200

Rows = 25

Seat per row = x

Required

Represent as an inequality

The scenario will be represented as:

$Current\ Seats + Rows * x = Total$

Substitute 200 for Current Seats

$200 + Rows * x = Total$

Substitute 25 for Rows

$200 + 25* x = Total$

$200 + 25x = Total$

Substitute <750 for Total.

The equation then becomes

$200 + 25x < 750$

Solving further:

$25x < 750 - 200$

$25x < 550$

$x < \frac{550}{25}$

$x < 22$

This means that:

Number of seats in a row must be less than 22

3 0

3 years ago

Jada and Priya are trying to solve the equation 2/3+x=4

denis-greek [22]

Answer:

Priya is correct. Because 2/3 is being added to x and not multiplied, then subtracting 2/3 from both sides is the correct action.

Step-by-step explanation:

Let's run through solving it that way:

2/3 + x = 4

2/3 - 2/3 + x = 4 - 2/3

0 + x = 4 - 2/3

x = 4 - 2/3

x = 10/3

6 0

3 years ago

How to solve 2x^2 -x -6 =0

gtnhenbr [62]

Answer:

Step-by-step explanation:

$2x^2-x-6=0\\\\2x^2+3x-4x-6=0\\\\x(2x+3)-2(2x+3)=0\\\\(2x+3)(x-2)=0\iff2x+3=0\ \vee\ x-2=0\\\\2x+3=0\qquad\text{subtract 3 from both sides}\\2x=-3\qquad\text{divide both sides by 2}\\\boxed{x=-1.5}\\\\x-2=0\qquad\text{add 2 to both sides}\\\boxed{x=2}$

4 0

3 years ago