Answer:
The space on each side of the painting = 2 feet
Step-by-step explanation:
Attached this answer is a diagram to give you visuals on how the value of x is calculated
Given:
width of wall = 10 feet
width of painting = 6 feet
Since the painting is centred on a wall, there is meant to be an equal space on each side of the painting, from the diagram, the following eaquation can be gotten
x + 6 + x = 10
2x + 6 = 10
2x = 10 - 6
2x = 4
x = 4 ÷2
x = 2 feet
Therefore, the space on each side of the painting = 2 feet
Answer:
150° and 210°
Step-by-step explanation:
1) according to the condition the required cosine is <0, it means the required angles are in the II-d and III-d quaters (see the attached picture no. 1);
2) it is known, that arccos(√3/2)=30°- the angle is between 0° and 90°, - but the requred angles are between 90° and 270° (see the picture no. 2), then
3) (angle)₁=180°-arccos(√3/2) and (angle)₂=180°+arccos(√3/2), then finally
(angle)₁=180°-30°=150°; (angle)₂=180°+30°=210°.
PS. note, the suggested way is not the only one.
a) Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7
b) The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as 98 square feet
<h3>What is the perimeter?</h3>
The perimeter is defined as the sum of all the sides of the figure. Now we have The area in, square feet, of Shawn’s garden is found be calculating 15(2x + 7). Shawn incorrectly says the area can also be found using the expression 30x + 7.
The correct area =15(2x + 7).
= 30x + 105 square feet
The error in Shawn’s expression is
= 15(2x + 7)
= 30x + 7 square feet
Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7
The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as
30x + 105 square feet - 30x + 7 square feet
= 30x + 105 - (30x + 7)
= 30x - 30x + 105 - 7
= 98 square feet
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18 is the integer that comes next because the sequence goes 3 -2 4 -2 6 -2 8
It's when we break a number apart. Like as if we take 3,864. And we take each number and put it in a area of the number.
3=Thousands.
8=Hundreds.
6=Tens.
4=Ones.
Fairly simple and easy.
