Answer:
153.86 units²
Step-by-step explanation:
From the question given above, the following data were obtained:
Pi (π) = 3.14
Radius (r) = 7 units
Area (A) =?
The area of a circle can be obtained by using the following formula:
A = πr²
A = 3.14 × 7²
A = 3.14 × 49
A = 153.86 units²
Thus, the area of the circle is 153.86 units²
at a sale, dresses sold for 22.00 each. This price was 55% of a dress's original price.
Answer:
22.00x55%=12.10. 22-12.10=9.90
Answer:
$40
Step-by-step explanation:
22/55 = dollar per percent
dollar per percent = 0.4
0.4 x 100 will equal to 100% of the original price
0.4 x 100 = 40
to check, 40 x 55% = 22
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
Which are correct statements regarding proofs? Select three options.
In a paragraph proof, statements and their justifications are written in sentences in a logical order.
A two-column proof consists of a list statements and the reasons the statements are true.
A flowchart proof gives a visual representation of the sequence of steps without justifications.
A flowchart proof is a visual way of describing the statements and reasons for a proof.
A two-column proof lists only the given information and what is to be proven
Three correct statements connoting proofs are:
In a paragraph proof, statements and their justifications are written in sentences in a logical order. A two-column proof consists of a list statements and the reasons the statements are true. A flowchart proof gives a visual representation of the sequence of steps without justifications.What is a proof statement?A proof statement simply refers to a particular statement unleashing evidences and points that prove a claim to be true. The three major types of proof are:
Flowchart proofParagraph proofTwo-column proofIn conclusion; a proof statement is a statement which convinces that a claim is absolutely true.
Learn more about proof statement:
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Answer:
A: In a paragraph proof, statements and their justifications are written in sentences in a logical order.
B: A two-column proof consists of a list statements and the reasons the statements are true.
D: A flowchart proof is a visual way of describing the statements and reasons for a proof.
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
Coffee costs $3.59 per pound. How much would 5.7 pounds of coffee
cost?
Answer:
20.463
Step-by-step explanation:
3.59x5.7
5.7 pounds of coffee would cost $20.463.
What is simplification?When a mathematical expression is converted into an equivalent, typically shorter statement, it becomes simpler. Procedure simplification is one method to encourage uniformity in work effort, expense, and duration. It reduces diversity and variation that is detrimental, pointless, or unnecessary.
Given, Coffee costs $3.59 per pound. Since,
1 pound of coffee costs = 3.59$
5.7 pounds of coffee costs = 3.59 * 5.7
5.7 pounds of coffee costs = 20.463
Therefore, $20.463 would be the cost of 5.7 pounds of coffee.
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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°.
Use the slope formula to find the slope of the lie with these points.
(8, 10), (-7, 14)
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.
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
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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:
17m−(5m+3n−6)+2 Simplify. Then, justify
Answer: 12m−3n+8
Step-by-step explanation: 17m−(5m+3n−6)+2
=17m+−5m+−3n+6+2
=(17m+−5m)+(−3n)+(6+2)
=12m+−3n+8
=12m−3n+8
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
-7a-3<2a
Please solve
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
Which equation is a true statement about CBD below?
Answer:
h^2 = a^2 -x^2
Step-by-step explanation:
a^2 = b^2 + c^2
B^2 = A^2 - C^2
A = hypotinus
Answer: d
Step-by-step explanation: js took the test on edge got a 100%
what are the ordered pairs of the solution?
2y+6<8x
The expression (x-5)^2 is equivalent to...
Answer:
option a x²-25
Step-by-step explanation:
(x-5)²
x²-25
AABC is rotated 90° clockwise to create AA'B'C'. Which of the following transformations would also map B to B'?
Select all that apply.
r (x, y) + (x – 6,y)
= 270º counterclockwise rotation
reflection over the r - axis
(x,y) → (2x, 2y)
r reflection over the y -axis
90° counterclockwise rotation
Answer:
the 3rd and 5th one
Step-by-step explanation:
What is the distance, in units, between the points (-4,5) and (8,0) in the
standard (x,y) coordinate plane?
I need helppp badd pleaseeeee
Answer:
it shows the unit rate of the graph per hour.
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?
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
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:
If a=6 and b=3 find the value of 1/2 x-5y+2
Answer:
-10
Step-by-step explanation:
if u meant that a is actually x and b is actually y,
1/2(6)-5(3)+2
=3-15+2
=-10
Answer:
-14
Step-by-step explanation:
evaluate each number in x and y
1/2(6)-5(3)+2
3-15+2
Using BODMAS rule addition comes first from subtraction so
3-17= -14``
PLEASEEEEEE!!!!!!!!! 7TH GRADE!!!! FIND SURFACE AREA!!!!!!!ASAP!!PLEASE T^T!!!!
Answer:
It is 390.5 (volume, not surface area)
Step-by-step explanation:
True or false. - 0.25 = - 1/4
Answer:
true
Step-by-step explanation:
True, - 0.25 can go 4 times into - 1/4
What is the distance between the points (25 , 12) and (9 , 12) in the coordinate plane? A. 8 units B. 34 units C. 16 units D. 13 units
Answer:
The answer to the question provided is 16 units.
.
Step-by-step explanation:
☆Well, we simply use the distance formula, which is:
[tex]d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2} }[/tex]
...
☆All we need to do is plug in!
[tex]d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2} } \\ \\ d = \sqrt{(9 - 25) {}^{2} + (12 - 12)^{2} } \\ d = \sqrt{( - 16)^{2} + (0) ^{2} } \\ d = \sqrt{256 + 0} \\ d = \sqrt{ 256 } \\ d = 16[/tex]
Find the value of x in the triangle
Answer:
x=63
Step-by-step explanation:
55+62+x=180
117+x=180
180-117=63
x=63
(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
Write a positive or negative integer that represent the situation?
Answer:
A or -24
Step-by-step explanation:
if your in debt its -24