Step-by-step explanation:
The area of a circle = pi r^2
d = 2r Divide by 2 to get the radius
r = d/2
The diameter = 2.8 cm
r = d/2
r = 2.8/2
r = 1.4
The area of the circle = pi * r^1
The area of the circle = 3.14 * 1.4^2
The area of the circle = 6.1544
But you are working with a semic circle
The area of a semicircle is 1/2 that of a circle
Area of semicircle = 1/2 6.1544 = 3.0772 =3.08 when rounded
I really need help, please.
What is the value of b2 - 4ac for the following equation?
2x^2 - 2x - 1 = 0
Answer:
12
Step-by-step explanation:
We are finding the discriminant
b^2 -4ac
2x^2 - 2x - 1 = 0
a =2 b = -2 c = -1
(-2)^2 - 4(2)(-1)
4 +8
12
Answer:
[tex]b^2 - 4ac= 12[/tex]
Step-by-step explanation:
Standard quadratic equation :
[tex]ax^2 + bx + c = 0[/tex]
Given equation :
[tex]2x^2 - 2x - 1 = 0[/tex]
From the given equation , a = 2, b = -2 , c = -1
Therefore,
[tex]b^2 - 4ac= ( -2)^2 - ( 4 \times 2 \times (-1))[/tex]
[tex]=4 + 8 = 12[/tex]
Aisha wants to paint the four walls of her living room. Each wall is 2.6 m high and 3.5 m long. One wall has a door of 2.2 m by 0.8 m. Tins of paint cost £11 per 2 L tin. Each litre of paint can cover 8 m2 of wall. There is an offer of: Buy 2 tins get the 3rd at half price. How much will Aisha pay to paint her living room
Answer:
£22
Step-by-step explanation:
Area to be painted
4walls - door
a = 4(2.6 * 3.5) - 2.2 * 0.8
a = 34.64 m²
Paint needed
p = 34.64 / 8
p = 4.33
Must round up
p = 5 liters
Tins needed
t = 5/2
t = 2.5
must round up
t = 3
Cost
since 1 is free with 2 will pay for 2
c = 11 * 2
c = 22
£22
10.34126163391934 rounded to 4sf (significant figures)
Answer:
10.34
Step-by-step explanation:
Four sf=four numbers only
Answer:
10•34
1 is less than 5
n/b that u will begin from the no before the decimal place
: Cho tam giác ABC vuông tại C, trong đó AC = 0,9m, BC = 1,2m. Tính các tỉ số lượng giác của góc B, từ đó suy ra các tỉ số lượng giác của góc A.
Answer:
Step-by-step explanation:
Vì tam giác ABC vuông tại C nên ta áp dụng định lí pitago=> AB²=AC²+BC²=0.9²+1.5²=3.06=>AB= (3 căn bậc hai của 34)/10
sin B=AC/AB=(3 căn bậc hai của 34)/34
cos B=BC/AB
tan B= AC/BC
cot B= BC/AC
Tương tự suy ra tỉ số lượng giác góc A
A boy 1.5 m tall is 15 m away from a hut 24 m high. What is the angle of elevation of the top of the hut?
Answer:
Angle of elevation = 56.31°
Step-by-step explanation:
what is the average of 4741, 4261, 4628?
Answer:
4628
I hope it will help you all
Consider the following system of two equations.
{3x−4y=−24
3x+2y=−6
What are the coordinates(x,y) of the solution to the system of equations?
Enter the coordinates in the space provided.
Help if i dont pass this im finna fail.!!!!!
Step-by-step explanation:
The given equations are:
(i)
3x+2y−4=0...(1)
2x−3y−7=0...(2)
put x=0 in (1),
3(0)+2y−4=0
y=2
put y=0 in (2),
2x−3(0)−7=0
x=
2
7
put x=0 in (2),
2(0)−3y−7=0
y=−
3
7
put y=0 in (1),
3x+2(0)−4=0
x=
3
4
(x=0,y=−
3
7
)
(x=
3
4
,y=0)
(x=0,y=2)
(x=
2
7
,y=0)
(ii)
3x+2y−11=0...(1)
2x−3y+10=0...(2)
put x=0 in (1),
3(0)+2y−11=0
y=
2
11
put y=0 in (2),
2x−3(0)+10=0
x=−5
put x=0 in (2),
2(0)−3y+10=0
y=
3
10
put y=0 in (1),
3x+2(0)−11=0
x=
3
11
(x=
3
11
,y=0)
(x=0,y=
3
10
)
(x=0,y=
2
11
)
(x=−5,y=0)
Can anyone help with this question please? Will mark brainliest :)
Answer:
A = 15x^2 +11x+4
Step-by-step explanation:
can we assume you want the area...
A = 1/2 (B1+B2) h
A = 1/2(10x +4)(3x+2)
A= 1/2(30x^2 +22x+8)
A = 15x^2 +11x+4
Please help me!
The diagram shows the distance time graph of a bus in 45 minutes calculate
a) the period of time that the bus is stationery
b) the speed in km/h¯¹ in the first 5 minutes.
c) the value of s, if the speed is 80 km/h¯¹
d) describe the motion of bus in the last 20 minutes
Answer:
a) 20 minutes
b) 36 km/h
c) 33.67 km
d) continuous driving without any stationary phases.
Step-by-step explanation:
by the way, speed is specified in distance per time unit. in your example as km/h. and that is how your write this.
not km/h¯¹. that would be wrong, as that would actually be km×h. but you can write e.g. km×h¯¹. that is the same as km/h.
between minutes 5 and 25 there is no progress in distance. so, for these 20 minutes the bus was stationary.
in the first 5 minutes the bus drove 7-4=3 km.
so, in 5 minutes 3 km. to determine the speed we need to calculate up to see, how many km would be have driven in a full hour (60 minutes). the same factor for the time has then to be applied also to the distance to keep the ratio unchanged.
5 × x = 60
x = 12
3 × 12 = 36
so, the speed in these first 5 minutes was 3 km/5 min.
or then in km/h : 36 km/h
between the minutes 25 and 45 the bus drove with a speed of 80km/h.
and the starting point there was at 7 km.
so, the bus drove s-7 km in 20 minutes.
as before, let's first find the scaling factor to deal with a full hour instead of only 20 minutes.
20 × x = 60
x = 3
as before : distance × scaling factor = distance for km/h
(s-7) × 3 = 80
3s - 21 = 80
3s = 101
s = 33.666666666... km
THANK FOR HELPING REALLY APPRECIATE IT FINDING X ON A TRIANGLE
Answer:
37deg
Step-by-step explanation:
Given a right triangle ABC with altitude BD drawn to hypotenuse AC. If AC = 24 and DC = 6, what is the length of BC?
Answer:
BC = 12Step-by-step explanation:
BD is the altitude, it breaks ΔABC into two similar triangles:
ΔABD ~ ΔBCDThe ratios of corresponding sides:
AD/BD = BD/DC ⇒ BD² = AD*DC ⇒ BD² = (24 - 6)*6 ⇒ BD² = 108On the other hand:
BC² = BD² + DC² ⇒ BC² = 108 + 6² = 144 BC = √144BC = 12Please help I’ll give brainliest
Answer: A, 4^4
Step-by-step explanation:
4^7/4^3 = 4^4
Answer:
[tex]4^{4}[/tex]
Step-by-step explanation:
Rewrite the division as a fraction.
[tex]\frac{4^{7} }{4^{3} }[/tex]
Cancel the common factors.
[tex]\frac{4^{3}*4^{4} }{4^{3}*1 }[/tex]
[tex]4^{4}[/tex]
Hope this helps!
Reach out to me if you need more help with these types of problems.
What are the lengths of AD, DB, AE, and EC? Measure and record them.
Solve the rational equation:
2x/x-1 - 2x-5/x^2 -3x+2 = -3/x-2
Answer:
Step-by-step explanation:
[tex]\frac{2x}{x-1} -\frac{2x-5}{x^2-3x+2} =\frac{-3}{x-2} \\\frac{2x}{x-1} +\frac{3}{x-2} =\frac{2x-5}{x^2-3x+2} \\\frac{2x(x-2)+3(x-1)}{(x-1)(x-2)} =\frac{2x-5}{x^2-3x+2} \\\frac{2x^2-4x+3x-3}{x^2-2x-x+2} =\frac{2x-5}{x^2-3x+2} \\\frac{2x^2-x-3}{x^2-3x+2} =\frac{2x-5}{x^2-3x+2} \\x\neq 1,x\neq 2,x^2-3x+2\neq 0\\multiply~by~x^2-3x+2\\2x^2-x-3=2x-5\\2x^2-3x+2=0\\x=\frac{3\pm\sqrt{9-4*2*2} }{2*2} \\x=\frac{3 \pm\sqrt{-7} }{4} \\x=\frac{3 \pm \sqrt{7} i}{4}[/tex]
The solutions of the given rational equation are 13/4 and 11/4.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The given equation is 2x/(x-1) - (2x-5)/(x² -3x+2) = -3/(x-2)
Here, 2x/(x-1) - (2x-5)/(x² -2x-1x+2) = -3/(x-2)
2x/(x-1) - (2x-5)/(x(x-2)-1(x-2)) = -3/(x-2)
2x/(x-1) - (2x-5)/((x-2)(x-1)) = -3/(x-2)
(2x(x-2)-(2x-5))/((x-2)(x-1)) = -3/(x-2)
(2x²-4x-2x+5)/(x-1)=-3
2x²-4x-2x+5= -3(x-1)
2x²-6x+5=-3x+3
2x²-6x+5+3x-3=0
2x²-3x+2=0
By using quadratic formula, we get
x=3±√(9-8)/4
x=3± 1/4
x= 3+1/4 and x=3-1/4
x=13/4 and x=11/4
Therefore, the solutions of the given rational equation are 13/4 and 11/4.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
Can someone help me?It's urgent and thank you!
Answer:
the first option
Step-by-step explanation:
because x^3 is exponential while ab^2 is linear
Mr Yadav buys a radio for Rs 640 and sells it for Rs 672 Find it's profit percent
Answer:
Here,
C.P.=RS 640
S.P.=RS 672
Now,
we know that,
profit= S.P. - C.P.
= rs 672- rs 640
= rs 32.
and,
p % = profit/c.p *100
= rs 32/rs 640*100
=rs 5
wish its help you
Ill give brainlest to who gets it right.
nyatakan nilai digit 3 dalam asas sepuluh, bagi nombor 22314 asas 5
Answer:
75
Step-by-step explanation:
22314 asas 5 => digit 3 dalam asas 10 menjadi :(3×5²) = 3×25 = 75
I need help with this question
Answer:
a
Step-by-step explanation:
because- the numbers and then choose correct options
a rack bought for rs.8000 and sold at 15% loss, find selling price
Answer:
Rs 6800
Step-by-step explanation:
Hope this helps
x+7=2(x-15) solve for x
Answer:
x = 37
Step-by-step explanation:
x+7 = 2(x-15)
x+7 = 2x-(2*15)
x+7 = 2x-30
7+30 = 2x-x
37 = x
So, the answer is x = 37.
A circle is centered on point B. Points A C and D lie on its circumference.
If angle ABC measures 124°, what does ADC measure?
Answer:
Step-by-step explanation:
If ABC i.e angle of centra = 124°Then, we know that angle at any where of Circle is 1/2 if central angle So, ADC = 124/2 => ⛰ ADC = 62
Can some please answer this?
Answer:
11/2
Step-by-step explanation:
when you do 11/4 divided by 1/2, think of it as 11/4 TIMES 2 because you can flip equations with division, so your answer would be 22/4 or 11/2
Find the slope of the line passing through (-2, 7) and (0, 1)
plz hurry i am in test
Answer:
-3
Step-by-step explanation:
1-7 -6
------ = -------- = -3
0--2 2
What's is the coordinates of d
yo pls telll ?:( pls be correct answer
Answer: (0,3) and (2,2)
There are infinitely many possible answers.
======================================================
Explanation:
If we plug in x = 0 and solve for y, then we get,
x+2y = 6
0+2y = 6
2y = 6
y = 6/2
y = 3
So x = 0 and y = 3 pair up together. We get the ordered pair (x,y) = (0,3)
This is one point on the line.
------------------------
Pick any other value you want for x. Let's say we go for x = 2
x+2y = 6
2+2y = 6
2y = 6-2
2y = 4
y = 4/2
y = 2
The point (x,y) = (2,2) is also on the line, and also another solution.
------------------------
One last example. Let's plug in x = 4
x+2y = 6
4+2y = 6
2y = 6-4
2y = 2
y = 2/2
y = 1
The point (x,y) = (4,1) is another solution.
--------------------------
Refer to the graph below.
for X=0
0+2y=6
2y = 6
6
y= ---- =3
2
so, (0,3) is also a solution
second solutionfor y=0
X + 2(0) = 6
X+0 =6
X = 6
so, (6,0) is a solution
Step-by-step explanation:
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thankyou
Help 4,5 and ,6 please
Answer:
i only know 4 number only
Can someone help me please
Answer:
Yes what is the question?
Step-by-step explanation:
Answer:
What is the question?
Step-by-step explanation:
Which is the graph of the system x + 3y > -3 and y < 1/2x + 1
Answer:
4th graph
Step-by-step explanation:
x + 3y > -3
3y > -x - 3
y > -(1/3)x - 1
Blue Line
y < 1/2x + 1
Orange Line
y- intercepts = -1 and 1