Answer:
8 m
Step-by-step explanation:
Applying,
A = bh/2................ Equation 1
Where A = Area of the triangle, b = base of the triangle, h = height of the triangle.
Since the triangle is an isosceles triangle.
Then, b = h
Assuming, b = y m
Given: A = 16 m²
Substitute these values into equation 1
16 = (y×y)/2
16 = y²/2
y² = 16×2
y² = 32
y = √32
y = 4√2 m
Therefore,
b = 4√2 m and h = 4√2 m
Applying pythagoras theorem, to get the length of the fence enclosing the paddock
a² = b²+c²
a² = (4√2)²+(4√2)²
a² = 32+32
a² = 64
a = √64
a = 8 m
Hence the length of the fence enclosing the paddock is 8 m
38) If AD = 10, find the arc length of DE.
Answer:
23.6 units
Step-by-step explanation:
If we have a circle of radius R, the perimeter of the arc is given by:
P = 2*pi*R
Now, if we only want to find the length of an arc defined by an angle "a", it will be:
L = (a/2*pi)*2*pi*R = a*R
In this case, we know that DA = 10, so we can think that this is a circle of radius R = 10 units
And for the arc DE, we have the angle:
a = 2.36 rad
replacing these two in the formula, we get:
L = 2.36*10 units = 23.6 units
find the first derivative of the following:
f(x)=e^{x³}
[tex]answer = 3 {x}^{2} {e}^{ {x}^{3} } [/tex]
Answer:
[tex] \displaystyle f'(x) = 3x^2 {e}^{ {x}^{3} } [/tex]
Step-by-step explanation:
we would like to figure out the first derivative of the following:
[tex] \displaystyle f(x) = {e}^{x ^{3} } [/tex]
to do so take derivative In both sides:
[tex] \displaystyle f'(x) = \frac{d}{dx} {e}^{x ^{3} } [/tex]
to differentiate the above we can consider composite function derivation given by
[tex] \rm\displaystyle \frac{d}{dx} f(g(x)) = \frac{d}{dx} f'(g(x)) \times \frac{d}{dx} g'(x)[/tex]
let
g(x)=u
so we obtain:
[tex] \displaystyle f'(x) = \frac{d}{dx} {e}^{u} \times \frac{d}{dx} u[/tex]
substitute back:
[tex] \displaystyle f'(x) = \frac{d}{dx} {e}^{ {x}^{3} } \times \frac{d}{dx} {x}^{3} [/tex]
by using derivation rule we acquire:
[tex] \displaystyle f'(x) = 3x^2 {e}^{ {x}^{3} } [/tex]
and we are done!
Two 6-sided dice are rolled at the same time. What is the probability that a 4 is rolled on both dice? Give your answer as a fraction.
A bag contains red, white and black counters. The pie chart shows information about the counters in the bag. What fraction of the counters are red ? Give your answer in its simplest form.
Answer:
(120/360) *100% = 33 red counters
Which inequality explains why these three segments cannot be used to construct a triangle?
Answer:
Iliana cannot construct a triangle because the sum of the two smaller sides will not be greater than the third side. Iliana cannot construct a triangle because the sum of the two smaller sides will be greater than the third side.
4. Three hoses are connected end to end. The first hose is
6.25 feet. The second hose is 6.5 feet. If the length of
all 3 hoses when connected is 20 feet, how long is the
third hose?
Answer:7.25 feet
Step-by-step explanation:
6.25+6.5=12.75
20-12.75=7.25
A school club visits a science museum. Student tickets cost $10 each.
Non-student tickets cost $15 each. The club paid $300 for the tickets.
Which equation below could model this situation? *
A. Y=300(15+10)
B. 300=10x + 15y
C. 25x=300
D. Y=300+10x
A scalene triangle has the lengths 6, 11, and 12. Keyla uses the law of cosines to find the measure of the largest angle. Complete her work and find the measure of angle Y to the nearest degree.
Answer:
The maximum angle is 84.3 degree.
Step-by-step explanation:
Sides of a triangle is
a = 6 , b = 11, c = 12
The maximum angle is opposite to c.
So,
[tex]a =6, b =11, c = 12 \\\\cos C =\frac{a^2+b^2-c^2}{2 ab}\\\\cos C =\frac{36+121-144}{2\times 6\times 11}\\\\cos C = \frac{13}{132}\\\\cos C = 0.0985\\\\C =84.3^o[/tex]
Answer:
The person above got it wrong its 84
Step-by-step explanation:
got it wrong on edge
what is the result of adding -2.9a t 6.8 and 4.4a - 7.3 if a=2 what is the value of the expression
Answer:
Step-by-step explanation:
2.5
easy simple math
39.99 x 7.25
Answer:
289.92
Step-by-step explanation:
Multiply the numbers together
[tex]\longrightarrow{\green{289.9275}}[/tex] ✅
Step-by-step explanation:
[tex]39.99 \times 7.25 \\ \\ = 289.9275[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
Simplify........................
Answer:
[tex]\frac {x^{3}-4x^{2}-20x+32}{x^{3}+2x^{2}-4x-8}[/tex]
Step-by-step explanation:
make the denominator same
[tex]\frac{(x^{2}-4)(x-2)}{(x^{2}-4)(x+2) }-\frac{(2x+20)(x+2)}{(x^{2}-4)(x+2)}[/tex]
then expand
[tex]\frac {x^{3}-2x^{2}-4x+8}{x^{3}+2x^{2}-4x-8} - \frac {2x^{2}+24x+40}{x^{3}+2x^{2}-4x-8}[/tex]
join
[tex]\frac {x^{3}-4x^{2}-20x+32}{x^{3}+2x^{2}-4x-8}[/tex]
i think but not sure
Answer:
[tex] \frac{x - 2}{x + 2} - \frac{2x + 20}{ {x}^{2} - {2}^{2} } \\ \frac{x - 2}{x + 2} - \frac{2x + 20}{(x + 2)(x - 2)} \\ = \frac{ {(x - 2)}^{2} - (2x + 20)}{(x + 2)(x - 2)} \\ = \frac{ {x}^{2} - 4x + 4 - 2x - 20 }{(x - 2)(x + 2)} \\ = \frac{ {x}^{2} - 6x - 16 }{(x2)(x + 2)} \\ = \frac{(x - 8)(x + 2)}{(x + 2)(x - 2)} \\ = \frac{(x - 8)}{(x - 2)} [/tex]
What is the slope given the two points?
(-3,12) & (4,5)
Answer:
-1
Step-by-step explanation:
(-3 , 12) & (4, 5)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]= \frac{5 - 12}{4-[-3]}\\\\= \frac{-7}{4+3}\\\\=\frac{-7}{7}\\\\= -1[/tex]
Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions
Answer:
Step-by-step explanation:
Question 1 = 2002
2002 - 2000 = 2 (the years since 2000)
y = (275 x 2) + 50
y = 875
Question 2 = 1425 likes
2005 - 2000 = 5 (the years since 2000)
y = (275 x 5) + 50
y = 1425
Question 3 = 2018
Since y = 5000
5000 - 50(the extra likes) = 4950
4950 / 275 = 18 (the years since 2000)
2000 + 18 = 2018 (the year)
Find the area of the sector
Find the area of the full circle:
Area = pi x r^2
Area = 3.14 x 17^2
Area = 907.46 square units
A full circle is 360 degrees. The sector is 120degrees.
Multiply the area of the circle by the sector degrees/ full circle degrees
907.46 x 120/360 = 302.486 square units round off as needed.
Answer:
289/3[tex]\pi[/tex] m² or 302.6400923... m²
Step-by-step explanation:
These type of questions are very simple, you just have to know how to approach them properly. I'll give you the general structure using this as an example for your understanding.
The general structure goes like this:
Find the area of the entire circleUsing the angle, find out how much of the circle is covered by the sector.Multiply answer from Step 2 from the area to figure out the area of the sector.Area of a circle is [tex]\pi r^{2}[/tex], so [tex]\pi[/tex]×17² = 289[tex]\pi[/tex] m²
The angle is 120° out of 360°, think of a sector as the percentage of the area of the circle.
120/360 = 1/3
1/3 × 289[tex]\pi[/tex] = 289/3[tex]\pi[/tex] m² or 302.6400923... m²
Solve the following quadratic equation by using the Quadratic Formula: X²+ 2x - 3
Alice is given pocket money every week. She saves one-half of it, spends one-quarter of it on magazines and one-third of the remainder on sweets. She is left with 80 Gp in her purse.
Answer: in the beginning she has 1920 Gp.
Step-by-step explanation:
please help find x!!
Answer:
X= 360- (180+35)
X= 145
Step-by-step explanation:
since angle at a point is same as angle in a circle =360°
And we've being given two values out of three that makes up the point. so we subtract the sum of the two values from the size of angle at a point
6x - y= 16 and 3x + 2y + -12 Answer.
Answer:
x= 4/3
y= -8
if you ment 3x + 2y = -12 in the second problem
Step-by-step explanation:
Evaluate:
10
1° 4(1.5)n-1 = [?]
Answer:
453.3203125
Step-by-step explanation:
I hope it's right just use it. If it's wrong, I'll try again.
What is the correct value for n in the equation 12.5% of n = 350?
Answer:
What is 12.5 percent of 350? = 43.75.
Answer:
The correct value for n is 2800.
Step-by-step explanation:
We need to find the value of n. According to the given information, 12.5% of n is 350. Here the percentagle 12.5% must be converted to the equivalent 0.125.
Then the equation to be solved is 0.125n = 350, so that
350
n = --------- = 2800
0.125
The correct value for n is 2800.
Calculate the measure of angle D:
Answer:
The answer is 32
Step-by-step explanation:
A right triangle has a total of 180 degrees. As they give you 58 degrees and 90 degree, you just do 180 degrees - 58 degrees - 90 degrees.
Answer: 32
Step-by-step explanation:
Subtract the angle 58 and 90 since it is a right angle
PLS ADD EXPLANATION
Cylinder radius is 2 cm height is 10cm what is the surface area
Answer:
150.83 (cm²).
Step-by-step explanation:
1) the area of the bottom and top is: A₁=π*r²*2=2*3.1415*4≈25.13 (cm²);
2) the length of the circle in the bottom/top side is: l=2*π*r=2*3.1415*8≈12.57 (cm);
3) the area of the side surface of the cylinder is: A₂=l*h=12.57*10=125.7 (cm²);
4) the required area of the cylinder is:
A=A₁+A₂=25.13+125.7=150.83 (cm²).
A jar has one blue and 9 green marbles in it . What is the probability distribution of drawing a green marble?
Answer:
9/10
Step-by-step explanation:
one blue and 9 green = 10 marbles
P(green) = number of green / total
=9/10
FInd WY Given: Giving brainly.
Answers:
x = 2WY = 28===========================================================
Explanation:
The tickmarks show that WZ and XY are the same length. The arrows show that WX is parallel to ZY. This is an isosceles trapezoid.
For any isosceles trapezoid like this, the diagonals are the same length. We can prove it using the SAS congruence theorem.
So,
WY = XZ
15x-2 = 9x+10
15x-9x = 10+2
6x = 12
x = 12/6
x = 2 .... first answer
Use that value of x to find the length of each diagonal.
WY = 15*x - 2 = 15*2-2 = 30-2 = 28 .... second answerXZ = 9x+10 = 9*2+10 = 18+10 = 28Both diagonals are 28 units long, which helps confirm we have the right x value.
cuanto es 14° 15´ 12´ ´ X 2 ayuda por favor
Answer:
28° 30´ 24´ ´
Step-by-step explanation:
14° 15´ 12´ ´ x 2 = 28° 30´ 24´ ´
Answer:
nosee
Step-by-step explanation:
nada
What is the inverse of the function f(x) = 2x + 1?
Answer:
f^1(x)= (1/2)x-(1/2)
hope this helped
Helpppppppppppppp meeeeeeeee
Step-by-step explanation:
Hey there!
From the given figure;
An exterior angle is 127°.
To find: value of"X"
Now;
x+127° = 180°. [Being linear pair]
or, X = 180° - 127°
or, X = 53°
Therefore, the value of "X" is 53°.
Hope it helps!
Answer:
53°
Step-by-step explanation:
the extended line(the base and the line that extends past the triangle) is 180°. With an extended line that is 180°, the inside angle must be 180° - the outside angle, and the outside angle must be 180° - the inside angle. if the angle on the outside is 127°, then the inside angle(x) should be 180° - 127° or 53°.
to verify: all the inside angles must equal to 180°
the angle on the top is 90°( when there is that square thing on an angle it means it is 90°) and the angle on the right is 53°, so the remaining angle is 180 - (90° + 53°) or 37°.
90° + 53° + 37° = 180 °
Select the correct graph of the equation.
Answer:
A
Step-by-step explanation:
The -2 indicates that y would be -2; because A is the only option with that being true, we can eliminate all other potential options rather quickly.
I believe this is 3/5x-2 but please take pictures with all information in view so we can provide better answers!
In a competition, a prize is won every 2018 minutes. Work out an estimate for the number of prizes won in 1 year. You must show your working
Answer:
260
Step-by-step explanation:
Number of hours in one year = 365 x 24 x 60 = 525600
(365 days, 24 hours per day, 60 minutes per hour)
One prize is won every 2018 minutes so in 525600 minutes
525600 / 2018 = 260 prizes will be won (The answer is 260.46, which rounds to 260)
PS: Can I pls get brainliest? I need it to rank up
help me with this mathematics
Answer: B
Step-by-step explanation: 65/100 = 65%