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musickatia [10]
3 years ago
9

Rachel was cutting out some fabric for a friend she cut a piece that was 5 cm wide and had an area of 20 cm squared how long was

the peace
Mathematics
1 answer:
Nostrana [21]3 years ago
4 0
The answer would have to be 4cm due to
5cm \times 4cm = 20 {cm}^{2}
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Point B is on line segment AC. Given AB = 3x, BC =4x+8 and AC = 5x + 10, determine the numerical length of AC
Vlada [557]

Answer:

15

Step-by-step explanation:

determine the numerical length of AC

We know that Ac is equaled to ab and bc because they are the segements between ac  

                3x                                4x+8

A-----------------------------B----------------------------------C

|<----------------------------5x+10 --------------------------->|

AB + BC = AC

solving for x

3x + 4X + 8 = 5X + 10

3x+4x-5x= 10-8

2x=2

x=1

Now sub that in for ac

AC= 5x +10

AC= 5(1) +10

AC= 5 +10

AC = 15

3 0
2 years ago
1. Complete the inequality below to describe the
dezoksy [38]

Domain is the entire span left to right (on the x-axis) that the graph is on. Since the graph goes from x=-4 and ends at x=4, the domain would be from -4 to 4. The circle at -4 is open, so it does not include the point at -4, just everything leading up to it. So, the domain would be

- 4 < x \leqslant 4

The range is similar, it is the entire span that the graph goes up and down (on the y-axis). The graph starts at the bottom at y=-2, and ends at y=5. The bottom point (4,-2) is closed, so the graph includes that point, and the top point (-4,5) is open and doesn't include the point. Therefore, the range would be

- 2 \leqslant x < 5

5 0
2 years ago
Read 2 more answers
Farmer Brown has 42 animals, which are cows and chickens. They have a total of 120 legs. Write a system of equations, show your
SCORPION-xisa [38]

Answer:

The system of equations is:

x + y = 42

4x + 2y = 120

And there are 24 chickens.

Step-by-step explanation:

We know that the total number of cows (x) plus the total number of chickens (y) is 42, because Farmer Brown has 42 animals.

We also know that cows (x) have 4 legs and so 4 times the number of cows is the number of cow legs. And chickens (y) have 2 legs, so the number of chickens times two represents the total chicken legs. The sum of 4x + 2y is 120 because there are 120 legs in total.

To solve the system of equations, first solve each equation for y.

In the first equation:

x + y = 42

Subtract x from both sides to isolate y.

y = 42 - x

Second equation:

4x + 2y = 120

Subtract 4x from both sides

2y = 120 - 4x

Divide both sides by 2

y = 60 - 2x

Now that the y's are isolated in both equation, you can put them into 1 equation. Where y = y:

y = 42 - x

y = 60 - 2x

42 - x = 60 - 2x

Add 2x to both sides

42 + x = 60

Subtract 42 from both sides

x = 18

Since x is the number of cows, we know that Farmer Brown has 18 cows.

Now we can substitute the x value into one of the equations:

y = 42 - x

y = 42 - (18)

y = 24

The number of chickens is represented by y, so there are 24 chickens.

3 0
2 years ago
Evaluate the following double integral: xy dA D where the region D is the triangular region whose vertices are (0, 0), (0, 3), (
natulia [17]

Answer:

I= 84

Step-by-step explanation:

for

I=\int\limits^{}_{} \int\limits^{}_D {x*y}  \, dA =  \int\limits^{}_{} \int\limits^{}_D {x*y}  \, dx*dy

since D is the rectangle such that 0<x<3 , 0<y<3

I=\int\limits^{}_{} \int\limits^{}_D {x*y}  \, dA =  \int\limits^{3}_{0} \int\limits^{3}_{0} {x*y}  \, dx*dy =  \int\limits^{3}_{0} {x}  \, dx\int\limits^{3}_{0} {y}  \, dy  = x^{2} /2*y^{2} /2 =  (3^{2} /2 - 0^{2} /2)* (3^{2} /2 - 0^{2} /2) = 3^{4} /4 = 81/4

4 0
2 years ago
This is similar to the last one but this is also an quiz that’s worth a major. Can anybody help?
VashaNatasha [74]

Answer:

42

Step-by-step explanation:

Shanice: 88

Greg: (88 - 4) ÷ 2 = 84 ÷ 2 = 42

3 0
3 years ago
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