Answer: π / 4
Step-by-step explanation:
Area of a circle = π x r^2
= π x 0.5^2
= π / 4
Answer:
A = 0.25 π m²
Step-by-step explanation:
Area = [tex]\pi r^2[/tex]
Where r = 0.5 m
A = (0.5)^2 × π
A = 0.25 π m²
f(x) = x^2. What is g(x)?
Answer:
Step-by-step explanation:
[tex]f(x) =x^2[/tex] is, in vertex form,
[tex]f(x)=(x-h)^2+k[/tex] where h and k, the vertex, is (0, 0). It is positive because it opens upwards.
g(x) opens downward, so we know that it is negative. Because it is DOWN 4 units from the origin, is has been moved down -4. Putting that together, we can determine that the equation for g(x) is
[tex]g(x)=-x^2-4[/tex], choice D in your list.
Answer:
D
Step-by-step explanation:
The opposite side of function f(x) is g(x). So -x².
The y-intercept is -4.
- x² - 4
ε = {x: 2 x 30, x is an integer}, M = {even numbers}, P = {prime numbers}, T = {odd numbers} Find: I) MUP ii) M - T iii) P(MT) iv) P’U(MT’)
Answer:
i hope this helps and its clear !
What is the solution to the equation 2 (4 minus 3 x) + 5 (2 x minus 3) = 20 minus 5 x? x = –13 x = StartFraction 5 Over 4 EndFraction x = StartFraction 13 Over 2 EndFraction x = 3
Answer:
8 - 6x + 10x - 15 = 20 -5x
8 + 4x - 15 = 20 - 5x
8 - 15 = 20 - 9x
6 = 20 - 9x
-14 = -9x
divide by -9 .736
Step-by-step explanation:
The solution of the equation 2 (4 – 3x) + 5 (2x – 3) = 20 – 5x will be 3. Then the correct option is D.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The equation is given below.
2 (4 – 3x) + 5 (2x – 3) = 20 – 5x
Simplify the equation, we have
2 (4 – 3x) + 5 (2x – 3) = 20 – 5x
8 – 6x + 10x – 15 = 20 – 5x
9x = 27
x = 3
Then the correct option is D.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
Graph y≤−2/3x+6. PLEASE I NEED HELP!!!!:((
Answer:
First graph -2/3x+6 (Slope of -2/3)
(Y intercept of 6)
Then shade everything under that line
Quadrilateral
Wy has vertices W. 19), X10, 10x10,2), and 32,2). Determine if quadrilateral WXYZ is a rhombus,
Answer: no it’s not
Step-by-step explanation:
it’s a square
Find the area of the circle R=6ft
Answer:
Area is 113.097
Step-by-step explanation:
Answer:
113.10 ft²
Step-by-step explanation:
Area of the circle is equal to πr².
Where r is the radius. The radius of the circle is 6 feet.
π(6)²
36π = 113.097336
The area of the circle is 113.10 ft² approximately.
One number is 7 more than twice another. If their difference is 22, what is the larger number?
29
37
43
Answer:
Step-by-step explanation:
We'll write each one of these statements into an algebraic equation. The word "is" means "=", the words "more than" mean "+", and "difference" means subtraction. x will be one number, and y will be the other number. The first sentence, then, in an algebraic equation, is
x = 2y + 7
The second equation, then, is
x - y = 22
Since we know from the first equation what x is equal to, we will sub in what x equals into the second equation in place of x:
2y + 7 - y = 22 and
y + 7 = 22 so
y = 15.
Sub that in for y to solve for x:
x - 15 = 22 so
x = 37
Answer:
its 37
Step-by-step explanation:
How many seconds are in a day? Use the following unit conversions: 60 sec = 1 min 1 hr = 60 min 24 hr = 1 day A 150 B 1,440 C 3,600 D 86,400
Answer:
There are 86,400 seconds in a day. (Answer choice C)
What does 8:8 equal?
Answer:
1
Step-by-step explanation:
8:8=1
Answer:
8:8 simplified is 1:1 or just 1 for short.
Answer this ASAP please! Thanks!
Answer:
It is D.
Step-by-step explanation:
270 degrees counterclockwise is 90 degrees clockwise.
Select the two values of x that are roots of this equation.
2x-5=-3x^2
Answer:
A & D
Step-by-step explanation:
=> 3x²+2x-5 = 0
=> Using Mid-term Break Formula
=> 3x²-3x+5x-5 = 0
=> 3x(x-1)+5(x-1) = 0
=> (3x+5)(x-1) = 0
Either,
3x+5 = 0 OR x-1 = 0
x = [tex]-\frac{5}{3}[/tex] OR x = 1
Answer: x = 1 and x = 5/3
Step-by-step explanation:
A helicopter flies 665 feet above ground. What is the measure of the angle of depression from the helicopter to the girl’s line of sight? Round to the nearest degree. 23° 25° 65° 67°
Answer:
67°
Step-by-step explanation:
Given:
Height of helicopter from the ground, x = 665 feet
Distance from the helicopter to the girl's line of sight(opposite) = 665ft - 5 ft = 600 ft
Horizontal distance(adjacent) = 280 ft
To find the angle of depression, use the formula:
[tex] tan y = \frac{x}{y} [/tex]
Solve for y:
[tex]y = tan^-^1 (\frac{x}{y})[/tex]
[tex]y = tan^-^1 (\frac{660}{280}) = 67.01[/tex]
Angle of depression = 67°
Answer:
67 degrees
Step-by-step explanation:
of a class of 32 students ,17 study music and 20 studyart what is the least number of students who could study both music and art
Answer:
5
Step-by-step explanation:
There are 20 wild pigs on an island and the number of pigs doubled each year for the past 5 years how would one describe the graph of this model
Answer:
There are 640 pigs after 5 years.
Step-by-step explanation:
if it doubles each year the first year it doubles it is 40 then the second 80 third 160 fourth 320 and fifth 640.
graph it by having the X axis the years and the Y axis do it by 40s
i’m not able to solve this question
The sets of numbers 7,24,25 and 9,40,41 are Pythagorean triples. Use what you know about the Pythagorean Theorem and explain or show why they are Pythagorean triples. Be sure to show your work for each set of triples
Answer:
Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
7-24-25
7² + 24² = 25²
49 + 576 = 625
625 = 625
9-40-41
9² + 40² = 41²
81 + 1600 = 1681
1681 = 1681
Answer: See Explanation
Step-by-step explanation:
Pythagoras' theorem is [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex].
So [tex]7^{2}[/tex] (49) + [tex]24^{2}[/tex] (576) = [tex]25^{2}[/tex] (625)
Same goes for the other one. It is always the smallest number squared (smallest side of triangle) + the middle number squared (middle length side of triangle, = the biggest side/number squared.
For what values (cases) of the variables the expression does not exist: a/a-b
Answer:
The cases are when a-b = 0 and when a = b
Step-by-step explanation:
An expression is termed as undefined (not to exist) if the denominator of the expression is zero. Given the expression a/a-b, the denominator of the expression is a-b. For the expression to be undefined, the expression at the denominator must be equal to zero i.e a-b = 0
If a - b = 0, then a = 0+b; a = b
Another case for the function not to exist is if a = b
How many squares are in the image
Answer:
32
Step-by-step explanation:
k
Answer:
hope this helps, take care, stay safe, keep smiling
Step-by-step explanation:
i see 40 squares
The total surface area of a right circular cone with the slant height 25cm is 704 sq. cm . Find the volume of the cone.
HELP PLEASE !!!
Answer:
area=πr√{h^2+r^2}
area=704cm^2, Height(h) =25cm
therefore,
by solving, πr√{h^2+r^2}=704cm^2
you will get value of r.
now, volume=πr^2×h/3
putting all values answer will come
Step-by-step explanation:
Which equation can be used to represent the statement?
Half of a number minus seven is one and five-tenths.
o 3+x=15
0 1 x - 15-7
07-12-15
Answer:
Read below.
Step-by-step explanation:
x will represent the number
[tex]\frac{1}{2} x-7=1\frac{5}{10} \\\\\frac{1}{2} x-7=1\frac{1}{2}\\\\x-14=3\\\\x=17[/tex]
I don't know you answer choices because they don't really make sense but change them and I'll edit this. Or it could already be one in my working.
Please answer this function !!!
Answer:
f(6)=-114Solution,
[tex]f(x) = - 4 {x}^{2} + 5x \\ f(6) = - 4 \times {6}^{2} + 5 \times 6 \\ \: \: \: \: \: \: = - 4 \times 36 + 30 \\ \: \: \: = - 144 + 30 \\ \: \: \: - 114[/tex]
hope this helps.
Good luck on your assignment..
Answer:
-114
Step-by-step explanation:
To find f(6), you need to plug in the value in parentheses wherever there is an x in the equation.
f(x) = -4x + 5x
f(6) = -4(6) + 5(6)
f(6) = -4(36) + 30
f(6) = -144 + 30
f(6) = -114
The answer is -114.
Let PQR be a triangle such that angle P = angle Q + angle R. Among all three exterior angles of triangle PQR, what is the smallest exterior angle, in degrees?
Answer:
The smaller exterior angle is the exterior angle in the vertex P, and it measures 90°
Step-by-step explanation:
The sum of the internal angles of a triangle needs to be 180 degrees, so we have two equations:
[tex]mP = mQ + mR[/tex]
[tex]mP + mQ + mR = 180\°[/tex]
Substituting [tex]mQ + mR[/tex] by [tex]mP[/tex] in the second equation, we have:
[tex]mP + mP = 180\°[/tex]
[tex]mP = 90\°[/tex]
The other two angles need to be lesser than mP, and the exterior angle is the supplement of the internal angle, so the bigger the internal angle, the smaller the exterior angle.
So if the bigger internal angle in this triangle is mP, the smaller exterior angle is also the angle in the vertex P:
[tex]exteriorP = 180\° - mP[/tex]
[tex]exteriorP = 90\°[/tex]
2. Emma is playing a game with two fair dice.
She needs to score 5, using both dice, to win the
game.
What's the probability she will win the game?
Answer:
The required probability is:
[tex]\dfrac{1}{9}[/tex]
Step-by-step explanation:
It is given that Emma has two fair dice.
To win, she needs to score 5 using both dice.
Cases, where she can have 5:
{(1,4), (4,1), (2,3), (3,2)}
Let the event be A that she gets a score = 5
Total number of favorable cases, n(A) = 4
Total number of cases for throw of 2 dice, n(S) = 36
These are:
{
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
}
Formula for probability of an event E is given as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
or
[tex]P(E) = \dfrac{\text{n(E)}}{\text {n(S)}}[/tex]
Using the above formula, the required probability:
[tex]P(A) = \dfrac{\text{n(A)}}{\text {n(S)}}\\\Rightarrow \dfrac{4}{36}\\\Rightarrow \dfrac{1}{9}[/tex]
So, the required probability is [tex]\dfrac{1}{9}[/tex].
M is the midpoint of AB¯. Find the coordinates of B given A(–2, 1) and M(4, 3).
Answer:
B (10, 5)
Step-by-step explanation:
We simply set the midpoint equal to each of its respective variable equation in [tex]m = (\frac{x1+x2}{2},\frac{y1+y2}{2} )[/tex]
Step 1: Solve x
4 = (-2 + x)/2
8 = -2 + x
x = 10
Step 2: Solve y
3 = (1 + y)/2
6 = 1 + y
y = 5
Put it in coordinates and we have our final answer!
Answer:
B(10,5)
Step-by-step explanation:
You already have A and M so you just find the difference and add it to M. That is my way of getting the answer. I am taking the Honors Geometry class in 6th grade.
SOMEONE HELP ASAP! IM STUCKKKKKK
Answer: B) increasing for x < -4/3 and x > 4/3
decreasing for -4/3 < x < 4/3
Step-by-step explanation:
Graph the equation and follow the curve from left to right. If you are going up, it is increasing. If you are going down, it is decreasing.
Refer to the image below. Red is increasing. Blue is decreasing.
The vertices are at: x = -4/3 and x = 4/3
calculate the surface area of an open cuboid which is 12 cm long,8cm wide,6cm high
Answer:
432 cm²
Step-by-step explanation:
To find the surface area of a cuboid, there is a formula.
2lw+2lh+2hw
Length is l, height is h, and width is w.
2(12)(8)+2(12)(6)+2(6)(8)
Multiply all the terms.
336+96
Add both the terms.
= 432
The surface area of the open cuboid is 432cm².
Answer:
432 cm²
Step-by-step explanation:
The formula.
2lw+2lh+2hw
Length is l, height is h, and width is w.
2(12)(8)+2(12)(6)+2(6)(8)
336+96
= 432
The surface area of the open cuboid is 432cm²
What is the area of the parallelogram if each square is 1 square foot? a. 12 ft ³ b. 12 ft ² c. 12 d. 12 feet
Answer:
12 ft² :)
Step-by-step explanation:
Area of a parallelogram = base * height
4 * 3 = 12
Area of the parallelogram = 12 ft²
What is the following product? (2 sqrt 7 + 3 sqrt 6)(5 sqrt 2 + 4 sqrt 3
Answer:
[tex]10\sqrt{14} +8\sqrt{21} + 30\sqrt{3} +36\sqrt{2}\\[/tex]
Step-by-step explanation:
[tex](2\sqrt{7} + 3\sqrt{6} )(5\sqrt{2} +4\sqrt{3} )\\= 10\sqrt{14} +8\sqrt{21} + 15\sqrt{12} +12\sqrt{18} \\=10\sqrt{14} +8\sqrt{21} + 15\sqrt{4*3} +12\sqrt{9*2} \\= 10\sqrt{14} +8\sqrt{21} + 15*2\sqrt{3} +12*3\sqrt{2} \\=10\sqrt{14} +8\sqrt{21} + 30\sqrt{3} +36\sqrt{2} \\\\[/tex]
Hope this helps!
Answer:
(2√7 + 3√6) x (5√2 + 4√3)
Multiply the parentheses
= 10√14 + 8√21 + 15√12 + 12√18
= 10√14 + 8√21 + 30√3 + 12√18
A pool company is creating an image for a client that has the look of a 3-D image for a family pool and a similar dog pool. Find the value of x in the drawing below:
Answer:
x = 8
Step-by-step explanation:
==>Given that a family pool with a quadrilateral shape ABCD is similar with the dog pool EFGH, we can find the value of x by using the proportion of their corresponding sides.
Since ABCD ~ EFGH, the proportion of their corresponding sides are equal.
Thus, AB/EF = BC/FG = CD/GH = DA/HE
We have: 3/y = 4/3 = 5/z = x/6
Finding z:
4/3 = 5/z
Cross multiply
4*z = 5*3
4z = 15
z = 15/4
z = 3.75
Let's find x:
5/z = x/6
5/3.75 = x/6
Cross multiply
6*5 = x*3.75
30/3.75 = x
8 = x
x = 8
Evaluate g(x) = 1.873 -0.0034x +0.5 for x = 1 and x = 2.
Answer:
g(1) = 1.8696
g(2) = 1.8662
Step-by-step explanation:
Simply plug in the x values into the equation in a calc and you should get your answer.