Answer:
[tex]Area =( 4 \times 3) + ( \frac{1}{4} \pi \times 2^2) \\\\[/tex] [tex]\ cm^2[/tex]
Step-by-step explanation:
The figure is a combination of rectangle and a quarter of a circle.
Therefore,
Area = Area of rectangle x Area of quarter of the circle
[tex]= (Length \times breadth ) + ( \frac{1}{4} \pi r^2)\\\\=( 4 \times 3) + ( \frac{1}{4} \pi \times 2^2) \\\\[/tex]
Bella took the sum of area of rectangle and area of entire circle.
That is why Bella is wrong.
For Triangle PQM, where M is the Right Angle and PQ is the Hypotenuse. You know side PM = 8, side PQ = 17, Side MQ = 15. Find Angle P.
PLEASEEEEEE HELPPPPPPP
Answer:
61.9°
Step-by-step explanation:
tan p = opposite/ adjacent
tan p = 15/8
[tex]tan^{-1}[/tex] (15/8)
simplify ( √ 5 ) ( 3 √ 5 )
Answer:
( √ 5 ) ( √ 5 ) 3
5*3
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
( √ 5 ) x ( 3 √ 5 )
=> 3 ( √ 5 x √5)
=> 3 x ( √25)
=> 3 x 5
=> 15
Gerald bought a computer on the installment plan. The price was $1,560. He paid $82 a month for 24 months
What did Gerald pay in finance charges?
O S310
$408
O $456
$620
Answer:
Edi wow kasi pogi ako whahahhahahaha
Answer:
B
Step-by-step explanation:
82*24 = 1968
1968 - 1560 = 408
Draw the graph of y = 3x – 2 for –3 ≤ x ≤ 3
Answer:
In this case, we have a linear equation:
y = 3*x - 2
And we want to graph this in the interval –3 ≤ x ≤ 3
Because this is a linear equation, to graph it we can just evaluate the equation in both extremes of the interval to find the two extremes of the graph.
Then we just need to connect these points with a segment, and that will be the graph of our equation.
Because the symbols used are: ≤
We need to graph the extremes with a black dot, which means that the point is included in the graph (would be different if we had -3 < x < 3)
The first extreme is when we have x = -3
y = 3*(-3) - 2 = -9 - 2 = -11
Then we have one extreme at (-3, -11)
The other is when x = 3
y = 3*3 - 2 = 9 - 2 = 7
Then the other extreme is at (3, 7)
Now we just need to draw these two points and connect them, an example of this can be seen in the image below:
Compare the graph h(x)=1/4x^2 to the graph of f(x) = x2.
Answer:
h(x) is the image after f(x) is horizontally stretched by a scale factor of 4
Step-by-step explanation:
Given
[tex]h(x) = \frac{1}{4}x^2[/tex]
[tex]f(x) = x^2[/tex]
Required
Compare h(x) to f(x)
We have:
[tex]h(x) = \frac{1}{4}x^2[/tex]
Substitute [tex]f(x) = x^2[/tex]
[tex]h(x) = \frac{1}{4}f(x)[/tex]
This means that f(x) is stretched horizontally by a scale factor of 4 to get h(x)
Simplify (sin^2 0+cos^2 0) (sin 0+cos 0)
Can someone help? I don’t understand.
Answer:
C) [tex]sin\theta+cos\theta[/tex]
Step-by-step explanation:
[tex](sin^2\theta+cos^2\theta)(sin\theta+cos\theta)[/tex]
[tex]sin\theta+cos\theta[/tex]
Recall the Pythagorean Trigonometric Identity where [tex]sin^2\theta+cos^2\theta=1[/tex], so [tex]1(sin\theta+cos\theta)=sin\theta+cos\theta[/tex]
Answer:
C
Step-by-step explanation:
To start this problem off, we should know an important trig rule:
[tex]\sin^2(\theta)+\cos^2(\theta)=1[/tex]
From here, it is simple:
[tex](\sin^2(\theta)+\cos^2(\theta))(\sin(\theta)+\cos(\theta))=\\1(\sin(\theta)+\cos(\theta))=\\\sin(\theta)+\cos(\theta)[/tex]
C
I hope this helps! Let me know if you have any questions :)
plsss help (on pic)
First will put brainliest
Answer:
7 over 2x-2
Step-by-step explanation:
Answer:
g^-1 •7
7g^-1
7•1/g
answer is 7/g
I hoped I helped!! :)
What is the reflection image of P(0, 0) after two reflections, first across x = −3 and then across y = 4?
Answer:
(-6, 8)
Draw the point, draw the lines of reflection, reflect, find coordinates.
Practice D. Factor each trinomial.
1.
x² – 2x- 8
I
2.
y2 – 13y + 42
3.
m2 - 6m - 7
Help me answer those three factor please
Answer:
So 1) x²-2x-8
= x(x-2-8/x)
2) y²-13y+42
= y(y-13+42/y)
3) m²-6m-7
= m(m-6-7/m)
Hope it helps
1011+1111=in binary answer, anyone that answer me first I will follow u
Answer:
Step-by-step explanation:
answer is [tex](11010)_{2}[/tex]
What is the vertex of the graph of y = x2 + 4X?
O (-2, -12)
O (-2,-8)
O(-2,-6)
O (-2,-4)
Answer:
vertex = (- 2, - 4 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
y = x² + 4x ← is in standard form
with a = 1, b = 4, c = 0 , then
x = - [tex]\frac{4}{2}[/tex] = - 2
Substitute x = - 2 into the equation for corresponding value of y
y = (- 2)² + 4(- 2) = 4 - 8 = - 4
vertex = (- 2, - 4 )
Can someone help me understand this? Given that triangle ABC =~ triangle DEF, which of the following must be true?
Answer:
since these triangles are the same these angle must be the same
A=D
B=E
C=F
so the answer is C
Hope This Helps!!!
Anita burger purchased 14 gallons of gas for $34.72. How much did she pay for each gallon
Step-by-step explanation:
14 gallons bought for $34.72
1 gallon bought for
[tex] \frac{34.72}{14} [/tex]
=$2.48
Hello! Verify the identity. Please show your work! Use trigonometric identities to verify each expression is equal.
Yes this is from edge.
Answer:
See Below.
Step-by-step explanation:
We want to verify the identity:
[tex]\displaystyle \csc^2 x -2\csc x \cot x +\cot ^2 x = \tan^2\left(\frac{x}{2}\right)[/tex]
Note that the left-hand side is a perfect square trinomial pattern. Namely:
[tex]a^2-2ab+b^2=(a-b)^2[/tex]
If we let a = csc(x) and b = cot(x), we can factor it as such:
[tex]\displaystyle (\csc x - \cot x)^2 = \tan^2\left(\frac{x}{2}\right)[/tex]
Let csc(x) = 1 / sin(x) and cot(x) = cos(x) / sin(x):
[tex]\displaystyle \left(\frac{1}{\sin x}-\frac{\cos x }{\sin x}\right)^2=\tan^2\left(\frac{x}{2}\right)[/tex]
Combine fractions:
[tex]\displaystyle \left(\frac{1-\cos x}{\sin x}\right)^2=\tan^2\left(\frac{x}{2}\right)[/tex]
Square (but do not simplify yet):
[tex]\displaystyle \frac{(1-\cos x)^2}{\sin ^2x}=\tan^2\left(\frac{x}{2}\right)[/tex]
Now, we can make a substitution. Let u = x / 2. So, x = 2u. Substitute:
[tex]\displaystyle \frac{(1-\cos 2u)^2}{\sin ^22u}=\tan^2u[/tex]
Recall that cos(2u) = 1 - sin²(u). Hence:
[tex]\displaystyle \frac{(1-(1-2\sin^2u))^2}{\sin ^2 2u}=\tan^2u[/tex]
Simplify:
[tex]\displaystyle \frac{4\sin^4 u}{\sin ^2 2u}=\tan^2 u[/tex]
Recall that sin(2u) = 2sin(u)cos(u). Hence:
[tex]\displaystyle \frac{4\sin^4 u}{(2\sin u\cos u)^2}=\tan^2 u[/tex]
Square:
[tex]\displaystyle \frac{4\sin^4 u}{4\sin^2 u\cos ^2u}=\tan^2 u[/tex]
Cancel:
[tex]\displaystyle \frac{\sin ^2 u}{\cos ^2 u}=\tan ^2 u[/tex]
Since sin(u) / cos(u) = tan(u):
[tex]\displaystyle \left(\frac{\sin u}{\cos u}\right)^2=\tan^2u=\tan^2u[/tex]
We can substitute u back for x / 2:
[tex]\displaystyle \tan^2\left(\frac{x}{2}\right)= \tan^2\left(\frac{x}{2}\right)[/tex]
Hence proven.
* Which expression ((7 ^ 2) ^ 5)/(7 ^ 6) I need help
Answer:
the answer is D / 7^16...
Linda makes chocolate truffles . The recipe for 20 dark chocolate truffles is 1 cup cream 2 cups dark chocolate Complete the recipe for 40 dark truffles
Answer:
2 cups of Ice cream and 4 cups of dark choclate
Step-by-step explanation:
If 20 needs 1 cup cream 2 cups dark chocolate you want to find 40 you need to double all ingrediants so answer is 2 cups of Ice cream and 4 cups of dark choclate
What property is used in the second step of solving the inequality below?
Given
5x-991
5x < 100
Multiplication Property
O Identity Property
O Addition Property
Multiplication Property
O Transitive Property
Answer:
O Addition Property
Step-by-step explanation:
Addition property: adding or subtracting the same number on both sides does not change the inequality.
HELPPPPPPP 20 c rule
Answer:
It's answer is 2....
...
Answer:
3x + 4/2 + 5 ( x - 3 ) = 3/1
or, 3x + 4/2 + 5 x - 15 = 3/1
or, 3x + 5x - 15 = 3/1 -4/2
or, 8x - 15 = 6-2/2
or, 8x -15 = 4/2
or, 8x = 2 +15
or, x = 17/8
or, x = 2.125
hope it is helpful to you ☺️
What is the value of x to the nearest degree?
22
63
77
68
Answer:
I need help on this to anyone please
Solve the following:
4x-3=2x+7
Thanks :)
Answer:
6x+10 i think is right(sorry if its not)
Answer:
5
Step-by-step explanation:
4x-3=2x+7
-2x -2x
2x-3=7
+3 +3
2x=10
2x/2x = x
10/2=5
x=5
Please help I’ll give brainliest
Answer:
B
Step-by-step explanation: 6 21 9 45
49 × 17 + 49 × 3
49 × (17 + 3)
49 × 20
4.
3.7 cm
4.5 cm
2.2 cm
V=
Answer:
[tex]V=36.63cm^3[/tex]
Step-by-step explanation:
Volume formula for rectangular prism is [tex]V=lwh[/tex]
Volume = length * width * height
[tex]V=4.5*2.2*3.7[/tex]
[tex]V=36.63[/tex]
Hope this helps
Solve for X pls due ASAP
Answer:
Step-by-step explanation:
take x as reference angle
using sin rule
sin x = opposite / hypotenuse
sin x = 20 / 36
sin x = 0.55
x = [tex]sin^{-1} (0.55)[/tex]
x = 33.36
x = 33.4 degree
Help please thanks! :)
Answer:
Option A = 1/15 cubic meters
Step-by-step explanation:
Formule to find volume of rectangular prism:
Volume = width × height × length
V = w×h×l
V = 1/3 × 1/4 × 4/5
V = 1/15 cubic meters
An earthquake with a rating of 7.6 is
known to be a great earthquake that can
cause damage that extends several
hundred kilometers.
Math
Answer:
39,810,717.06
Step-by-step explanation:
Question:
What is the value of x when the richter scale rating is 7.6? Round your answer to the nearest hundreth.
Mathematically, the rating of an earthquake typically refers to its magnitude on the Richter scale.
The Richter scale is a logarithmic scale that measures the amplitude of seismic waves produced by an earthquake. Each increase of one unit on the Richter scale represents a tenfold increase in the amplitude of the seismic waves and approximately 31.6 times more energy released.
A rating of 7.6 on the Richter scale indicates a significant and powerful earthquake. It is considered a "great" earthquake and can cause widespread damage over an extensive area. The extent of the damage can depend on various factors, including the depth of the earthquake, the distance from populated areas, and the local building infrastructure.
It's important to note that while the magnitude of an earthquake provides a measure of its energy release, it doesn't directly indicate the extent of the damage or the specific geographical area affected. The effects of an earthquake can vary depending on factors such as local geology, distance from the epicenter, and the population density of the area.
Mathematically, the Richter scale provides a standardized way to quantify and compare the magnitude of earthquakes, aiding in the understanding and analysis of seismic events.
To know more about Richter scale. here
https://brainly.com/question/24037139
#SPJ2
¿Cuál de los siguientes productos algebraicos es un Binomio Suma por Binomio Diferencia?
Seleccione una:
a. (a + b) (a - b)
b. (a - b) (a - b)
c. (a + b) (a + b)
d. (a + b) (c + d)
What is the slope of the function?
Answer:
Write function:
y = 3x+4
The slope is what we time x by, 3!
A school held a tennis tournament.After each round,one-forth of the players were eliminated.If there were 64 players at the start of the tournament,which equation models the number of players left after 6 rounds?
Answer:
Option B
Step-by-step explanation:
After each round of the tournament one-fourth players are eliminated.
That means the process of elimination will represent the exponential decay.
Equation of exponential decay is given by the expression,
[tex]y=a(1-r)^n[/tex]
Here, a = Initial number of players
r = Fraction of reduction in the number of players
y = Final number of players
n = Number of rounds
In the given question,
Initial number of the players (a) = 64
Fraction of reduction in the number of players (r) = [tex]\frac{1}{4}[/tex]
= 0.25
Number of rounds (n) = 6
By substituting these values in the expression,
[tex]y=64(1-0.25)^6[/tex]
Therefore, Option B is the answer.
The function h(t) = –16t2 + 96t + 6 represents an object projected into the air from a cannon. The maximum height reached by the object is 150 feet.
After how many seconds does the object reach its maximum height?
2 seconds
3 seconds
6 seconds
9 seconds
Answer:
Step-by-step explanation:
This answer can be found in the h value for the vertex of a parabola, (h, k). The k value is the max height and we were already given that information. We need to solve for h. There's an easy way and a really complicated way...I'll show you the easy way because it's actually quite useful to know, especially when doing a lot of work with quadratics!
The formula to find h is
[tex]h=\frac{-b}{2a}[/tex] and in our quadratic, a = -16, b = 96 and c = 6. Filling in what we need:
[tex]h=\frac{-96}{2(-16)}[/tex] so
h = 3
At 3 seconds the max height of 150 feet is reached.
Which of the following functions is graphed below?
Answer:
there are no functions her pls add them for an answer:)
Step-by-step explanation: