Answer:
It is because not all sides of a rectangle are equal in length; unlike a square.
Step-by-step explanation:
Let's start by drawing the first diagonal.
You know already how a rectangle looks. It has 4 sides and 2 sets of parallel sides. Each pair of parallel sides has the same length.
A diagonal is a line crossing from one edge of a four-sided shape to the opposite edge; such that it divides the shape into two equal halves.
Now place your rectangle horizontally. Let the two longer sides be on the horizon while the two shorter sides go vertical.
We draw the first diagonal from the edge on the top right to the opposite edge (down left). This will divide the shape into two equal halves and each half will be a triangle; a congruent one at that.
When you fold this rectangle along its diagonal, the two triangles will not overlap! The resulting shape will be like two triangular mountains lying side by side. You can use a paper (cut in the shape of a rectangle) for this experiment.
Why does this happen, instead of the two triangles covering each other (overlapping)?
This happens because a rectangle doesn't have 4 equal sides. Check out a square and you'll see that both triangles will overlap after a diagonal is drawn across the square.
Draw the second diagonal of the rectangle (from up-left to down-right) and the same thing is observed.
Find the area of a circle with a radius of 6 feet. Round to the hundredths place
Answer:
Area of circle = 113.04 square feet
Step-by-step explanation:
Explanation:-
Given that radius of the circle (r) = 6 feet
Area of circle
A = π r²
A = π (6)²
A = 36 π
A = 36 × 3.14
A = 113.04 square feet
(the difference of d minus 3 divided by 2)
Answer:
(d-3)/2
Step-by-step explanation:
Given:
A number "d" Subtract by 3
So,
⇒ (d-3)
Product is divided by 2
So,
⇒ (d-3)/2
Which equation has a graph parallel to the graph of 9x + 3y =22?
Answer:
y = -3x + 8.3
Step-by-step explanation:
You need to rearrange 9x + 3y = 22 in the form y = mx +c.
9x+3y = 22
3y = -9x +22
y = -3x + 7.3
As long as the gradient is the same, the lines will be parallel. So you can give any number to the intercept (in this case I gave 8.3) and you will have parallel equations.
Solve for x in this inequality: -13 < 3x – 7 < 5
-13 < 3x – 7 < 5
Add 7 to all 3 terms;
-6 <3x<12
Divide all 3 terms by 3:
-2<x<4
Solve the system by substitution.
y = 3x
y = -4x – 49
Answer:
Step-by-step explanation:
Substitute 3x into y=-4x-49
y=−4x−49
3x=−4x−49
3x+4x=−4x−49+4x(Add 4x to both sides)
7x/7=−49/7
(Divide both sides by 7)
x=−7
Step: Substitute−7forxiny=3x:
y=3x
y=(3)(−7)
y=−21(Simplify both sides of the equation)
Answer:
x=−7 and y=−21
The solution set to the given system of equation is (- 7, - 21).
Differentiate between a mathematical function, equation and expression? Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionExpression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operatorsEquation : A mathematical equation is used to equate two expressions.Given are the system of equations as follows -
y = 3x
y = - 4x - 49
We have the equations as -
y = 3x .... Eq [1]
y = - 4x - 49 .... Eq [2]
Now, we can write the equation [2] as -
3x = - 4x - 49
7x = -49
x = - 7
So, we can find the value of [y] as -
y = 3x
y = 3 x - 7
y = - 21
Therefore, the solution set to the given system of equation is (- 7, - 21).
To solve more questions on functions, expressions and polynomials, visit the link below -
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Mr. Stubbert wants to buy a $520 sword, and he has a coupon for 15% off.
Select each expression that will determine how much will he pay.
PLEASE NOW!
Answer:
442
Step-by-step explanation:
Angie traveled 240 miles in the first 30% of her road trip. At this rate,
how long will the trip be all together?
+
+
o
200
+
o
10
20
30
Answer:
the trip would be 800 miles all together
Step-by-step explanation:
if you divide 240/3 it is 80 which means that 80 miles is 10% of the trip so you can multiply 80 by 10 to see that 800 miles is 100% of the trip.
Solve x-34=78 find the value of x
Answer:
112 is the answer
Step-by-step explanation:
to find the value of x, you need to add both the numbers 34 and 78 to find x.
Answer:
x=112
Step-by-step explanation:
x=78+34
(here the 34 passes to the other side, and because it is substracing, you pass it adding)
x=112
answer all 4 for braininess
Answer:Number 1 .is 33 because its the nearest number
number 2. is 3 dollars a pound s
number 3. she would take 22 minutes to walk 3.3 miles
number 4 he would drive 166 miles plz brainliest plz
Step-by-step explanation:
1.
296÷8=37
2.
15.98÷2=7.99 per pound
7.99x3=23.97
3.
3.5÷0.5=7 times as many
11x7=77 minutes or 1 hour 17 minutes
4.
500÷8=62.5 per hour
62.5x3=187.5
One spring, a group of students measured rainfall
totals at their school. This chart shows how many
inches of rain the students measured each month.
How many more inches did it rain in May than in
April?
MONTH RAINFALL
March 3.9
April 6.9
May 9.4
May have rained 2.5 more inches then in April. First you would need to subtract 9.4 because that’s how much it rained in May and then subtract it with 6.9 because that’s how much it rained in April. Then you get the answer of 2.5. You didn’t have to subtract the March because they didn’t ask you for the inches for the March.
Use the slope formula to find the slope of the lie with these points.
(8, 10), (-7, 14)
I need help... on this question.
Answer:
Step-by-step explanation:
A+B= we will add both expressions
A+B=3x^4+2x^2-2x+1-2x^3+4x^2-3 we will add like terms
A+B= 3x^4-2x^3+6x^2-2x-2
A-B=3x^4+2x^2-2x+1-(-2x^3+4x^2-3)
A-B=3x^4+2x^2-2x+1+2x^3-4x^2+3
A-B=3x^4+2x^3-2x^2-2x+4
In the diagram, triangle QRS is congruent to triangle XYZ. Find the measure of angle R.
Answer:
the correct answer is C. 75°
The value of ∠R = 75⁰
What are congruent triangles?The measurements of the sides and angles of two or more triangles determine whether they are congruent. A triangle's size is determined by its three sides, and its shape is determined by its three angles. If the pairs of their corresponding sides and angles are equal, two triangles are said to be congruent.
Given ΔQRS ≅ ΔXYZ
for congruency the sides and angle of both the triangles should be equal so for ΔQRS and ΔXYZ ; QR = XY, QS = XZ, and RS = YZ and
∠Q = ∠X, ∠S = ∠Z and ∠R = ∠Y
from figure ∠Q = ∠X = 55⁰, ∠S = ∠Z = 50⁰
sum of angle of triangle is 180⁰,
∠Q + ∠S + ∠R = 180⁰
∠R = 180 - 55 - 50
∠R = 75⁰
Hence ∠R = 75⁰
Learn more about congruent triangles;
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Determine the total surface area of the prism below.
Answer:
I need a picture of the prism, then I will answer the question.
Step-by-step explanation:
Issacs television is 25 inches wide and 18 inches high. What is the diagonal size of Issac’s television? Round to the nearest tenth if necessary.
Answer:
Diagonal = hypotenuse. Approximately 30.8 inches to the nearest tenth.
Step-by-step explanation:
Factor the algebraic expression.
30a + 25
Answer:
5(6a+5)
Step-by-step explanation:
Linear Expressions
Which terms are like terms? 3t2, t, 2t, 5, 4t2, 8, t3
Select each correct answer.
A: t and 2t
B: 3t2, 4t2, t3
C: 3t2, t, 2t, 5, 4t2
D: 3t2 and 4t2
E: 3t2, t, 2t, 4t2, t3
F: 5 and 8
Answer:
Correct answers are A,D and F
Step-by-step explanation:
suppose that 6 people sitting in a enclosed room are each generating about 400BTU's of body heat per hour. if the room is 20ft×15ft×10ft, how many BTU's per cubic foot do they produce in 5 hours?
3BTU's/ft^3
4
5
6
Answer: 4 BTUs/ft^3
Step-by-step explanation:
i just did a test and this was the right answer
Can somebody plz help me?
what is the probability of rolling a number greater than 3 on a standard dice
A) 1/2
B) 1/3
C) 1/6
D) 1/4
Answer:
1/2 is the answer
step-by-step explqnation:
Answer:
The answer is 1/2.
What is the distance, in units, between the points (-4,5) and (8,0) in the
standard (x,y) coordinate plane?
I need help on math.
r = 5.8 cm r = 7.1 cm
d = 11.6 cm d = 14.2 cm
C = 36.44 cm C = 44.611 cm
A = 105.68 cm2 A = 158.37 cm2
( I can't find where square is )
-7a-3<2a
Please solve
Given the Vertex (1,0) and the Directrix y = -¼, find the equation of the quadratic
(x - 1)2
(x + 5)2
2(x - 1)2
-x2 - 1
Answer:
y = (x - 1)²
Step-by-step explanation:
A parabola is the locus of a point such that its distance from a fixed point (known as the focus) and a fixed line (known as the directrix) is always constant. The equation of a parabola is a quadratic equation.
The equation of a parabola with a horizontal directrix is given by:
(x - h)² = 4p(y - k).
Where the directrix (y) = k - p, vertex = (h, k)
Given that: Vertex (1,0) and the Directrix y = -¼, Therefore:
vertex = (h, k) = (1, 0). h = 1 and k = 0.
y = k - p
but y = -1/4. Hence:
-1/4 = k - p
p = k + 1/4
p = 0 + 1/4
p = 1/4
Since the equation of the parabola is:
(x - h)² = 4p(y - k).
Substituting:
(x - 1)² = 4(1/4)(y - 0)
(x - 1)² = y
y = (x - 1)²
y = x² - 2x + 1
The expression (x-5)^2 is equivalent to...
Answer:
option a x²-25
Step-by-step explanation:
(x-5)²
x²-25
True or false concave polygon has all interior angles describe any angles less than 180 Degrees degrees??
Answer:
true
Step-by-step explanation: In a concave polygon, each interior angle is less than 180°.
EM
0
What’s the domain and range?
Step-by-step explanation:
The set of input (argument) values for which a function is defined is domain.
The set of values (points) which a function can obtain is range.
sonya has a bag with 4 green marbles, 7 orange marbles and 9 blue marbles. She randomly selects one marble, does not replace it and then selects another marble. What is the probability that sonya will pick two blue marbles?
True False
18 is 3 more than 9.
18 is 3 times as much as 6.
19 is 3 times as much as 27.
9 is 3 more than 6.
Answer:
it goes in this order
false
true
false
true
The answers are as follow:
a) False
b) True
c) False
d) True
What is Number system?A system of writing numbers is known as a number system. It is the mathematical notation for consistently employing digits or other symbols to represent the numbers in a particular set. It represents the arithmetic and algebraic structure of the numbers and gives each number a distinct representation.
Given:
a) 18 is 3 more than 9.
But, 3 more than 9.= 12
So, it is false
b) 18 is 3 times as much as 6.
= 3 x 6
= 18
So, it is true
c) 19 is 3 times as much as 27.
= 3 x 27
= 81
So, it is false
d) 9 is 3 more than 6
= 3+6
= 9
So, it is true
Learn more about number system here:
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The data shows 68% percent of the area under the normal
distribution. This is equivalent to:
Answer: Plus or minus 1 standard deviation from the mean.
Step-by-step explanation:
According to the Empirical rule,
If the population is normally distributed then, about 68% of the population lies within 1 standard deviation from the mean value.
Here, the data shows 68% percent of the area under the normal distribution.
This is equivalent to "plus or minus 1 standard deviation from the mean."
Hence, the correct option is : plus or minus 1 standard deviation from the mean.
I need helppp badd pleaseeeee
Answer:
it shows the unit rate of the graph per hour.
