MATHEMATICS HIGH SCHOOL

Given the perimeter of a rectangle and either the length or​ width, find the unknown measurement using the appropriate formula.The perimeter is 70ft . and the width is 16ft .

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

Givens

P = 2*L + 2*W

P = 70

w = 16

Solution

70 = 2L + 2*16

70 = 2L + 32

70-32 = 2L

38 = 2L

38/2 = 2L/2

L = 19

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One number is 4 more than another, and their sum is 60. What is the smaller number?

Identify the expression equivalent to 4(x + x + 7) − 2x + 8 − 4 by substituting x = 1 and x = 2.

Answers

4(x+x+7)-2x+8-4 X=1
4(1+1+7) -2(1) +8-4
4(9)+2
38

4(x+x+7)-2x+8-4  X=2
4(2+2+7) -2(2)+4
4(11)-4+4
44

Answer:

44

Step-by-step explanation:

So if we do 4(x+x+7)-2x+8-4 X=1

then 4(1+1+7) -2(1) +8-4

and 4(9)+2

it would be 38

then if we do 4(x+x+7)-2x+8-4  X=2

and 4(2+2+7) -2(2)+4

also 4(11)-4+4 it would be 44

The arrow at the maze entrance indicates that the robot will be heading east when it enters the maze. When programming the robot, let the complex number d represent the direction the robot is facing. As the robot changes direction, the value of d will also change; so, the value of d is dependent on where the robot is in the maze. At the start of the maze, what is the value of d?

Answers

Answer:

d=1

Step-by-step explanation:

If North is i and South is -i

East is 1 and West is -1

The robot is facing East as it enters the maze, it will have a starting value of 1

Answer:

The value of d at the start of the maze will be 1 because 1 represents East .

Which statement is true?

Answers

Answer:

Two shapes have corresponding congruent parts if and only if the shapes are congruent and one shape can be mapped to the other using a series of rigid transformations. (The first option)

Step-by-step explanation:

The other three statements are false.

Two shapes can have corresponding congruent parts without being congruent. For example, a square and a rectangle can have congruent sides, but they are not congruent shapes.

Two shapes can be congruent without being able to be mapped to each other using a series of rigid transformations. For example, a sphere and a cube are congruent shapes, but they cannot be mapped to each other using only rigid transformations.

Two shapes can be non-congruent and be able to be mapped to each other using a series of rigid transformations. For example, a square and a rectangle can be mapped to each other using a combination of a rotation and a translation.

The center of a circle is at the origin. An endpoint of a diameter of the circle is at (-3, -4). How long is the diameter of the circle?

Answers

Answer:

The length of the diameter of the circle is 10 unit.

Step-by-step explanation:

Given : The center of a circle is at the origin. An endpoint of a diameter of the circle is at (-3, -4).

To find : How long is the diameter of the circle?

Solution :

The center of a circle is at the origin i.e. C=(x_1,y_1)=(0,0)

An endpoint of a diameter of the circle is at D=(x_2,y_2)=(-3,-4)

The distance between the center and the end point of the diameter is the radius of the circle.

So, we find the radius with the help of distance formula,

d=√((x_2-x_1)^2+(y_2-y_1)^2)

Substitute the value in the formula,

r=√((-3-0)^2+(-4-0)^2)

r=√(9+16)

r=√(25)

r=5

Diameter is twice of radius d=5* 2=10

Therefore, The length of the diameter of the circle is 10 unit.
Use the distance formula
√((-4-4)^2+(-3-3)^2) = √(100)=10

Michaela signs up for a package of 6 dance classes for $29.95, and each additional dance class is $3.95.Which expression shows how much she pays for d dance classes when d 2 6?
A. 29.95 + 3.95d
B. 29.95 + 3.95(d-6)
C. 29.95 : 0 + 3.95

D. 29.95 = (d - 6) + 3.95

Answers

I would say A?

Because 29.95 + 3.95 (d) as per dance class?

A triangle with two congruent sides is always a(n)_______________ triangle.a. right
b. scalene
c. isosceles
d. equilateral

Answers

Scalene triangle → Different length, therefore no congurent sides.
Isosceles triangle → Same length, therefore it has two congurent sides.
Equilateral triangle → All length are comparable, it has three congurent sides.
Right triangle → Measures 90°, in some cases, it has two congurent sides.

Congurent defination → Same shape and same size.

Answer → C) Isosceles triangle.
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