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erica [24]
2 years ago
15

Can someone help me with this please? thank you!

Mathematics
1 answer:
Stolb23 [73]2 years ago
4 0

Answer:

106 cm²

Step-by-step explanation:

the surface area is the sum of the areas of the faces of the prism

area of 2 rectangles (left/ right ) = 2 × 7 × 5 = 70 cm²

area of central rectangle = 3 × 7 = 21 cm²

area of 2 congruent triangles = 2 × \frac{1}{2} × 3 × 5 = 3 × 5 = 15 cm²

surface area = 70 + 21 + 15 = 106 cm²

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A system of equations is shown below. y = –x – 3 5x + 2y = 9 What is the solution to this system?
erastovalidia [21]

Answer:

x=5\ and\ y=-8

The solution of the system can be given as (5,-8).

Step-by-step explanation:

Given system of equations:

y=-x-3

5x+2y=9

To solve the given system of equations:

Solution:

We will use substitution to solve the given system.

We will substitute the y values in terms of x from the equation y=-x-3 into the other equation to solve for x

Substituting y=-x-3 into 5x+2y=9.

We have:

5x+2(-x-3)=9

<em>Using distribution.</em>

5x-2x-6=9

<em>Combining like terms.</em>

3x-6=9

Adding 6 both sides.

3x-6+6=9+6

3x=15

Dividing both sides by 3.

\frac{3x}{3}=\frac{15}{3}

∴ x=5

<em>Plugging in x=5 into y=-x-3.</em>

We have,

y=-5-3

∴ y=-8

The solution of the system can be given as (5,-8).

4 0
3 years ago
Student made five tetrahedrons, a three dimensional figure with four triangular faces and labeled the faces 1-4. use an equation
JulsSmile [24]
The probability is 1/1024.

Each tetrahedron has a 1/4 chance of landing on 3, since there are 4 sides and only one of them is marked 3.

Each tetrahedron roll is independent, since no roll is affected by another.

This means we multiply the probabilities:
1/4(1/4)(1/4)(1/4)(1/4) = 1/1024
3 0
3 years ago
Read 2 more answers
2. True False 6(10 + 5) - 6.10 + 6.5<br><img src="https://tex.z-dn.net/?f=10%20%2B%205%20-%206.10%20%2B%206.5%20%5Ctimes%206" id
Ostrovityanka [42]

Answer:

<h2>47.9</h2>

Step-by-step explanation:

10 + 5 - 6.10 + 6.5 \times 6 \\

Follow PEDMAS

10 + 5 - 6.10 + 39

15 - 6.10 + 39 \\ 15 + 39 - 6.10 \\ 54 - 6.10 \\  = 47.9

8 0
3 years ago
Read 2 more answers
-4/3,4/9,-4/27,4/81,-4/243...<br><br> what is the common ratio! HELP ASAP
kaheart [24]
Answer: The common ratio is -1/3

-----------------------------------------------------------

Work Shown:

Pick any term to divide it by the previous term. I'm going to pick the second term and divide it by the first term.

r = common ratio
r = (term 2) divided by (term 1)
r = (4/9) divided by (-4/3)
r = (4/9) * (-3/4) 
r = (4*(-3))/(9*4)
r = -12/36
r = -1/3
The common ratio is -1/3

This means you multiply each term by -1/3 to get the next term

For instance
term 2 = r*(term 1)
term 2 = (-1/3)*(-4/3)
term 2 = ((-1)*(-4))/(3*3)
term 2 = 4/9

3 0
3 years ago
im sci-fi gurl and i nedd your guys help by the end of tommorow for those who go to connexus academy know this what are all 15 a
Crazy boy [7]

Answer:

what do you mean your not giving any questions about what you need help on

3 0
3 years ago
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