Answer: The length of each leg is 10 inches.
Step-by-step explanation: The triangle in question has been described as a right angled triangle, which implies that one side measures 90 degrees. It ia also described as an isosceles triangle. An isosceles triangle has two sides being equal, and also the two angles facing the two equal sides also measure the same.
If a right angled triangle is given as isosceles, then it means the hypotenuse (which is the side facing the right angle) is not one of the equal sides. The other two sides apart from the hypotenuse are the sides with equal measurement.
The area of a triangle is given as
Area of triangle = 1/2 (b*h)
Where b (the base) is one of the equal legs, and h (the vertical height) is the other leg equal to b.
Hence, the area can be re-written as follows;
Area of a triangle = 1/2 (b*h)
50 = 1/2 (b*h)
By cross multiplication, you now have
50 *2 = b*h
100 = b*h
Having already determined that b equals h,
100 = h²
Alternatively
100 = b²
Therefore, adding the square root sign to both sides of the equation, you now have
√100 = √h²
10 = h
Therefore, the length of each leg, both base and height is 10 inches
How many cubes eith side lengths of 1/4 cm does it take to fill the prism? Please help
Step-by-step explanation:
In order to find Volume for a rectangle use the formula: L * W * H
2 1/4 * 3/4 * 1 1/4 = 2 7/64
A cube with the side lengths of 1/4: 1/4 * 1/4 * 1/4 = 1/64
Divide 1/64, by the prisms volume, 2 7/64 to get 135.
I'm not sure if this is right, but I hope that helps! :)
The height, h in feet, a ball with reach when thrown in the ais is a function of time, t, in seconds,given by the equation h(t)=-16t2+35t+10. Find, to the nearest tenth, the maximum height, in feet, the ball will reach. The time when it reached its maximum height. How many seconds after the ball is thrown it will hit the ground?
Answer:
The maximum height the ball will reach is 29,141 feet.
The time when it reached its maximum height is 1.094 seconds.
2,443 seconds after throwing the ball, it will touch the ground.
Step-by-step explanation:
The function h (t) = - 16t² + 35t + 10 is a quadratic function of the form f (x) = ax² + bx + c, where a = -16, b = 35 and c = 10. To calculate the maximum height, you must then find the maximum of the function. In other words, Quadratic functions have a maximum (if a <0) or a minimum (if a> 0). This point is the vertex of the parabola.
The vertex coordinate on the x axis can be calculated by:
[tex]x=\frac{-b}{2*a}[/tex]
The value of the vertex on the y axis is obtained by substituting the value of "x vertex" in the function f (x), that is, by calculating f ([tex]\frac{-b}{2*a}[/tex]).
In this case, where h ([tex]\frac{-b}{2*a}[/tex]) is the maximum height:
[tex]t=\frac{-b}{2*a}=\frac{-35}{2*(-16)} =1.09375[/tex]≅ 1.094 seconds
So: h(1.094)= -16*1.094² + 35*1.094 + 10
h(1.094)=29.151
The maximum height the ball will reach is 29,141 feet.
The time when it reached its maximum height is 1.094 seconds.
To calculate the number of seconds after the ball is thrown it will hit the ground, you must calculate the roots of the quadratic function. For this you must apply:
[tex]x1,x2=\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}[/tex]
where x1, x2 are the two roots of the function f(x)=a*x² +b*x + c
In this case:
[tex]t1,t2=\frac{-35+-\sqrt{35^{2}-4*(-16)*10 } }{2*(-16)}[/tex]
Solving, you get t1=-0.256 and t2=2.443
Since the time cannot be negative, 2,443 seconds after throwing the ball, it will touch the ground.
What’s the answer ??? Help
Answer:
It's B. (2x+5) (x+4)
Answer:
b
Step-by-step explanation:
2x²+13x+20
You can just try all the answers if you'd like and see which one equals 2x²+13x+20.
Using FOIL for all of them:
a. (2x-5)(x-4) = 2x²-8x-5x+20 = 2x²-13x+20
b. (2x+5)(x+4) = 2x²+8x+5x+20 = 2x²+13x+20
c. (2x+2)(x+10) = 2x²+20x+2x+20 = 2x²+22x+20
d. is obviously not correct since we already have an answer.
Our answer is b. (2x+5)(x+4)
let f be defined as follows f(x)=4x find f^-1(x)
Answer:
So this is the inverse function
Please say ---- solve for the inverse f(x)
instead of ---- solve for f^-1(x)
x/4 division is the opposite of multiplication
so instead of multiplying by 4 we divide by 4
:)
Thanks for the question, Im working up to get a brainly answer and Master Answerer.
:)
Step-by-step explanation:
4x2 + 25y2
factor the following
Answer:
see explanation
Step-by-step explanation:
This polynomial is irreducible, that is cannot be factored.
4x² + 25y² ← is a prime polynomial
Answer:
1, the polynomial itself
Step-by-step explanation:
This is a prime polynomial since the terms have no common factor. The only factors it has are 1 and 4x2+25y2 (the number itself)
Mitchell's family is slow cooking 2 3/4 pounds of meat. The recipe says to cook the meat 1 1/2 nours per pound,
How long should Mitchell's family cook the meat?
A 1 5/6
B. 2 3/8
C 4 1/ 8
D. 4 1/4
Answer:
C
Step-by-step explanation:
Multiply the 1.5 hours per pound by 2.75 pounds and we get 4.125 hours or 4 1/8
Answer:
C: 4 1/8
Step-by-step explanation:
i took the quiz
Evaluate cos2θ for cosθ = .
Double angle identity:
[tex]\cos(2\theta)=2\cos^2\theta-1[/tex]
If you know [tex]\cos\theta[/tex], just plug it in.
Can you please help me
Answer:
complementary angle: 63
supplementary angle: 153
Step-by-step explanation:
Complementary angles mean angles that add up to 90. Therefore 90-27=63
Supplementary angles are angles that add up to 180. Therefore 180-27=153
In a grade 11 class, 40% of the students are taking Geography, 30% are taking History and 10% are taking both. If 40 students are enrolled in the grade 11 class, how many students are taking neither Geography or History?
I put the wrong answer
What is the solution to the following equation? 4(3x − 11) + 23 = 5x − 14 a 0 b 1 c 10 d 14
Answer:
b 1
Step-by-step explanation:
Amanda puts $1800 into an account that does not earn any interest. Every
month after that, she deposits the same amount of money. This sequence
represents her account balance for the first few months:
$1800, $2000, $2200,...
What is the explicit formula for the amount of money in her account at the
beginning of month n?
Answer:
a(n)=1800+(n-1)200
Step-by-step explanation
The usual formual is an=a1+d(n−1)
a1=The first number is the number you would start on
so 1800=a1
n=the number of times you would do it
you would usually put n-1 because the first number is already been put though the formula
d=the amount of change between each number
so 200=d
A(n)= a of n, like f(n) means f of n
so that why it is a(n)=1800+(n-1)200
i also got it right on A.pex
The lengths of a lawn mower part are approximately normally distributed with a given mean Mu = 4 in. and standard deviation Sigma = 0.2 in. What percentage of the parts will have lengths between 3.8 in. and 4.2 in.? 34% 68% 95% 99.7%
Answer:
b) 68%
The percentage of the parts will have lengths between 3.8 in. and 4.2 in
P( 3.8 ≤ x ≤ 4.2) = 0.6826 = 68 %
Step-by-step explanation:
Let 'X' be the normally distributed
mean 'μ'= 4 inches
standard deviation 'σ' = 0.2 inches
Case(i):-
when x₁ = 3.8 inches
[tex]Z_{1} = \frac{x_{1}-mean }{S.D} = \frac{3.8-4}{0.2} = -1[/tex]
Case(ii):-
when x₂= 3.8 inches
[tex]Z_{2} = \frac{x_{2}-mean }{S.D} = \frac{4.2-4}{0.2} = 1[/tex]
The probability of the parts will have lengths between 3.8 in and 4.2 in
[tex]P( 3.8\leq x\leq 4.2) = P(-1\leq z\leq 1)[/tex]
= P(Z≤1) - P(Z≤-1)
= 0.5 +A(1) -(0.5-A(1)
= 2 A(1)
= 2×0.3413
= 0.6826
Conclusion:-
The percentage of the parts will have lengths between 3.8 in. and 4.2 in
P( 3.8 ≤ x ≤ 4.2) = 0.6826 = 68 %
Answer:
B
Step-by-step explanation:
E2020
The total cost of a new calculator is $81.05. This price includes a 10% discount followed by a 6.5% sales tax. What was the original price of the calculator not including the tax or the discount?
Answer:
68.245
Step-by-step explanation:
total cost = $81.05
10% discount is 10/100× 81.05=8.105
substract 8.105 from 81.05= 72.945
with a 6.5% sales tax
6.5/100× 72.954 = 4.7
72.945-4.7= 68.245 the actual price
if am wrong let me know
I WILL MARK AS BRAINLIST
Answer:
18 square meters
Step-by-step explanation:
Answer:
7.5 square meterssolution,
The given figure if a Trapezium whose parallel sides are of 3 m and 2 m respectively.
Distance between the parallels sides
i.e. height is 3 m
Now,
[tex]area = \frac{1}{2} \times sum \: of \: parallel \: sides \times height \\ = \frac{1}{2} \times (3 + 2) \times 3 \\ = \frac{1}{2} \times 5 \times 3 \\ = \frac{15}{2} \\ = 7.5 \: {m}^{2} [/tex]
Hope this helps...
Good luck on your assignment...
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
f⁻¹(-2)=3
f⁻¹(1)=0
Step-by-step explanation:
inverse function flips x any coordinate into y and x
Which expression is equivalent to (fg)(5)?
A: f(5) x g(5)
B: f(5) + g(5)
C: 5f(5)
D: 5g(5)
Answer:
f(5).g(5)
Step-by-step explanation:
(fg)=(f.g)
this is how it starts: (fg)(X)= f(x) [g(x)]
x=5
f(5).g(X)
If
x = 3,
y = -5 and z-7, find
x +yz +xyz.
Answer:
143
Step-by-step explanation:
Since the values of x y and z are given
Substitute the value in the polynomial, so it'll become,
x+yz+xyz
= (3)+(-5)*(-7)+(3)*(-5)*(-7)
= 3+35+(3)*(-7)*(-5)
{Two negatives when multiplied becomes positive}
=3+35+3*35
= 3+35+105
=143
Solve for x 3x - 5 = 2x + 6.
01
O-1
O 11
0-11
Answer:
X= 11
Step-by-step explanation:
Move constant to the right side and change its sign
Find the perimeter of a rectangle whose length is (4a+b)cm and width (a+6)cm
Answer:
P = 10a +2b+12
Step-by-step explanation:
P = 2 (l+w) for a rectangle
P = 2 ( 4a+b + a+6)
Combine like terms
P = 2(5a+b+6)
Distribute
P = 10a +2b+12
Answer:
Given below
Hope it helps
Step-by-step explanation:
Perimeter= 2(l+b)
= 2(4a+b+a+6)
= 2(5a+b+6)
= 10a+2b+12 cm^2
Here are seven tiles Tom takes a tile at random. He does not replace the tile. Tom then takes at random a second tile. a) Calculate the probability that both tiles Tom takes have the number 1 on them. b) Calculate the probability that the number on the second tile Tom takes is greater than the number on the first tile he takes.
Answer:
a) 1/21
b) 8/21
Complete question:
There are seven tiles:
1,1,3,3,3,5,5
Tom takes a tile at random. He does NOT replace the tile.
Tom then takes another tile at random.
a) Calculate the probability that both tiles Tom takes have the number 1 on them. b) Calculate the probability that the number on the second tile Tom takes is greater than the number on the first tile he takes.
Step-by-step explanation:
Total number of tiles = 7
Let Probability of having number 1 on the tiles = Pr (having 1)
Pr (having 1) = (number of times 1 appears on tiles)/(total number of tiles)
Number of times 1 appears on tiles = 2
Pr (having 1) = 2/7
Two tiles are drawn without replacement:
Probability of both tiles having number 1 on them = Pr (having 1 for both 1st and 2nd time)
= Pr (having 1) × Pr (having 1)
Since it is without replacement, the numbers in the second pick would reduce by 1 in both the numerator and denominator since we are picking same number. That is from 7 to 6 and from 2 to 1 to reflect that it was replaced.
= 2/7 × 1/6
= 2/42
Probability of both tiles having number 1 on them = 1/21
b) If 1st tile = 1, the second tile could be = 3 or 5
The pairs = Pr(1 and 3) and Pr(1 and 5)
Where Pr = probability
The probability is still without replacement. For both probability, the numbers in the second pick would reduce by 1 in the denominator since we are picking different numbers. That is from 7 to 6
Number of times 3 appears on tiles = 3
Number of times 5 appears on tiles = 2
Pr(1 and 3) = (2/7 × 3/6) = 1/7
Pr(1 and 5) = (2/7 × 2/6) = 2/21
If 1st tile = 3, the second tile = 5
Pr(3 and 5) = (3/7 × 2/6) = 1/7
If 1st tile = 5, the second tile = 0 (no number is greater than 5
Pr(5 and 0) = 0
Probability that the number on the second tile Tom takes is greater than the number on the first tile he takes = Pr(1 and 3) + Pr(1 and 5) + Pr(3 and 5) + Pr(5 and 0)
= 1/7 + 2/21 + 1/7 + 0
= (3+2+3)/21 = 8/21
Probability that the number on the second tile Tom takes is greater than the number on the first tile he takes = 8/21
Find the sum of the first 44 terms of the following series, to the nearest integer. 10, 14,18,...
Answer:
4224
Step-by-step explanation:
Here, we want to calculate the sum of the first 44 digits
Term a which is first digit is 10
common difference which is difference of terms = 14-10 = 18-14 = 4
Now the nth term of an arithmetic sequence is
a + (n-1)d
44th term means n = 44
10 + (44-1)4
10 + 43(4)
10 + 172 = 182
To find the sum, we use the formula
Sn = n/2[a + L]
where a is the first term and L is the 44th term
Sn = 44/2 (10 + 182)
Sn = 22(192)
Sn = 4,224
The slope-intercept form of a line is y = mx + b. Using that equation for a line of best fit, you can substitute an input value to find the output for that point. With this method it is possible to make predictions for data points that may not be shown on a graph.
Answer:
Yes it is
Step-by-step explanation:
If you us a formula you can predict data points that are not on a graph
if f(x) = 2x+1/x-4 what is the value of f^-1(3)
Answer:
f^-1(3) = 1.719 or f^-1(3) = 0.149
Step-by-step explanation:
for inverse function x and y coordinates are flipping so graph the function and find for what x - coordinate y- coordinate = 3
in case that f(x) = [tex]2x + \frac{1}{x-4}[/tex] than f^-1(3) = 1.719
in case that f(x) = [tex]2x + \frac{1}{x} -4[/tex] than f^-1(3) = 0.149
Answer: B
B (19/11) when divided = 1.72 repeat
of all the options given, this is the closest to the above answer.
we can describe 15×-10 as an expression. we would describe 6×-2< 35 as an...
Answer: Inequality
Step-by-step explanation:
From the question, if we can describe 15×-10 as an expression, then we would describe 6×-2< 35 as an inequality. An
inequality is used to compare two values, and shows if one is less than, or greater than, or maybe not equal to the other value.
For example, a ≠ b means that a is not equal to b and a < b means a is less than b while a > b means a is greater than b. From the question, 6×-2< 35 means that 6x - 2 is less than 35.
Please answer correctly !!!!! Will mark brainliest answer !!!!!!!!!!
Answer:
type 2 in the first box,
13/4 in the second box, and
-9/8 in the third one
Step-by-step explanation:Notice that you are asked to write the following quadratic expression in vertex form, so you need to find the "x" value of the vertex, and then the "y" value of the vertex:
[tex]x_{vertex}= -b/2a[/tex]
Which in our case is: -13/4
and the value of the y for the vertex is obtained using the functional expression when x equals -13/4:
[tex]f(-13/4)= -9/8[/tex]
Then your expression for this quadratic should be:
[tex]f(x)=2\,(x+\frac{13}{4} )^2+(-\frac{9}{8})[/tex]
Then type 2 in the first box, 13/4 in the second box, and -9/8 in the third one
Rob paid $50.15 for two pairs of jeans, which include a 15% discount. What was the price of one pair of jeans before the discount was added?
Answer:
$29.50
Step-by-step explanation:
The price that Rob paid includes a 15% discount. This means that Rob paid 85% of the original price.
100% - 15% = 85%
Divide the price Rob paid by the percentage the price is of the total.
85% = 0.85
50.15/0.85 = 59
Now, divide the total price by 2 so that you can find the price of one pair of jeans.
59/2 = 29.50
The price of one pair of jeans is $29.50
Which is the value of this expression when p=-2 and q=-1?
A. -4
B. -1/16
C. 1/16
D. 4
Answer:
D. 4
Step-by-step explanation:
[tex] [(p^2) (q^{-3}) ]^{-2}.[(p)^{-3}(q)^5] ^{-2}\\\\
=[(p^2) (q^{-3}) \times(p)^{-3}(q)^5 ]^{-2}\\\\
=[(p^{2}) \times(p)^{-3} \times (q^{-3}) \times(q)^5 ]^{-2}\\\\
=[(p^{2-3}) \times (q^{5-3}) ]^{-2}\\\\
=[(p^{-1}) \times (q^{2}) ]^{-2}\\\\
=(p^{-1\times (-2)}) \times (q^{2\times (-2) }) \\\\
=p^{2}\times q^{-4} \\\\
= \frac{p^2}{q^4}\\\\
= \frac{(-2)^2}{(-1)^4}\\\\
= \frac{4}{1}\\\\
= 4[/tex]
What is the domain of y=4[x+2]
Answer:
[tex]-\infty \:<x<\infty \:\\or\\\left(-\infty \:,\:\infty \:\right)[/tex]
Step-by-step explanation:
[tex]\mathrm{Domain\:of\:}\:4\left(x+2\right)\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
Plz help...i am offering 10 pts...
What is a real life example for an integer
Answer:
Some examples of integers are -1, 0, and 1.
