Answer:
The median for Week 1 is less than the median for Week 2.
Find the area of the trapezoid. Leave your answer in simplest radical form.
Answer:
[tex]Area = 52\sqrt3 \ ft^2[/tex]
Step-by-step explanation:
Area of trapezoid
[tex](\frac{a+ b}{2}) \times h[/tex] -----------( 1 )
We will split the trapezoid into Triangle and rectangle. To find the height and full length of base.
[tex]sin 60 = \frac{opposite}{hypotenuse}[/tex] [tex][ opposite \ in \ the \ equation \ \ is \ the \ height \ of \ the \ trapezoid ][/tex]
[tex]\frac{\sqrt3}{2} = \frac{opposite }{ 8}\\\\\frac{\sqrt3}{2} \times 8 = opposite\\\\4\sqrt3 = opposite[/tex]
Therefore, h = 4√3 ft
[tex]cos 60 = \frac{adjacent}{hypotenuse}[/tex] [tex]adjacent \ in \ the\ equation \ is \ the\ base \ of \ the \ triangle ][/tex]
[tex]\frac{1}{2} = \frac{adjacent}{hypotenuse}\\\\\frac{1}{2} \times 8 = adjacent\\\\4 = adjacent[/tex]
Therefore, a = 11 feet, b = 11 + 4 = 15 feet
Substitute the values in the Area equation :
[tex]Area = \frac{11 + 15}{2} \times 4 \sqrt3 = \frac{26}{2} \times 4\sqrt3 = 13 \times 4\sqrt3=52\sqrt3 \ ft^2[/tex]
Hey, can anyone help me with this pls
Answer:
it's B
Step-by-step explanation:
I'm quite sure it is. Hope it helps u
The probability that Andrew has heart disease The two events are independent, so you need to find
the product of their probabilities: 0.9 x 0.75 = 0.675. Enter the
correct answer The probability that Andrew has heart disease
Answer:
correct bayan HAHAHAHAHAHA
Find the area of an equilateral triangle whose value is 18 cm
Answer:
[tex]18 + 18 + 18 = 18 \times 3 = 54[/tex]
Step-by-step explanation:
I ain't sure but it might help you out:D
Answer:
140.3 cm²
Step-by-step explanation:
area of an equilateral triangle
[tex] = \frac{\sqrt{3} }{4} {a}^{2} [/tex]
where a is the side of the triangle
[tex] = \frac{ \sqrt{3} }{4} \times {18}^{2} \\ = 140.3 \: cm {}^{2} [/tex]
use these functions a(x) =4x +9 and b(x) =3x -5 to complete the function operations listed below
Consider that we need to find [tex](a+b)(x), (a-b)(x), (ab)(x),\left(\dfrac{a}{b}\right)(x)[/tex].
Given:
The functions are:
[tex]a(x)=4x+9[/tex]
[tex]b(x)=3x-5[/tex]
To find:
The function operations [tex](a+b)(x), (a-b)(x), (ab)(x),\left(\dfrac{a}{b}\right)(x)[/tex].
Solution:
We have,
[tex]a(x)=4x+9[/tex]
[tex]b(x)=3x-5[/tex]
Now,
[tex](a+b)(x)=a(x)+b(x)[/tex]
[tex](a+b)(x)=4x+9+3x-5[/tex]
[tex](a+b)(x)=7x+4[/tex]
Similarly,
[tex](a-b)(x)=a(x)-b(x)[/tex]
[tex](a-b)(x)=4x+9-(3x-5)[/tex]
[tex](a-b)(x)=4x+9-3x+5[/tex]
[tex](a-b)(x)=x+14[/tex]
And,
[tex](ab)(x)=a(x)b(x)[/tex]
[tex](ab)(x)=(4x+9)(3x-5)[/tex]
[tex](ab)(x)=12x^2-20x+27x-45[/tex]
[tex](ab)(x)=12x^2+7x-45[/tex]
And,
[tex]\left(\dfrac{a}{b}\right)(x)=\dfrac{a(x)}{b(x)}[/tex]
[tex]\left(\dfrac{a}{b}\right)(x)=\dfrac{4x+9}{3x-5}[/tex]
Therefore, the required functions are [tex](a+b)(x)=7x+4[/tex], [tex](a-b)(x)=x+14[/tex], [tex](ab)(x)=12x^2+7x-45[/tex] and [tex]\left(\dfrac{a}{b}\right)(x)=\dfrac{4x+9}{3x-5}[/tex].
Find missona value in the equation below
Answer:
[tex] \sqrt[5]{96x {}^{7} y {}^{11} } = 2xy {}^{2} \sqrt[5]{3x {}^{2}y } [/tex]
Learning Activities
Solve the following problems. Choose
the letter of the correct answer
(Show your complete solutions)
1.) The sum of all the sides of a STOP sign is 104 inches. A STOP sign is an
with all sides equal. How many inches does each side measure?
B. 11 in
C. 13 in
D. 16 in
2.) In A ABC, LA and Beach measure 70% How many degrees are there in 202
A. 400
B. 50°
C. 60
D700
3.) The measures of the three angles of a quadrilateral are 49. 58, and 127. What
is the measure of the fourth angle?
A. 116
B. 126
C. 54
D. 64
A. 8 in
4.) Solve for the value of x in DEFG.
E
D
(x + 40)
130
A 400
B. 70°
C. 500
D. 90°
F
(2x-10)
G
5.) if the length of the two sides of an isosceles triangle are 3 cm and 7 cm, then
what must be the length of the third side?
Step-by-step explanation:
answers I the above photo
some of the questions are not clear
Answer:
1. C(13inches)
2. A(40°)
3. B(126°)
4. C(50°)
5. 7cm
Step-by-step explanation:
According To the Question,
1. Given, The sum of all the sides of a STOP sign is 104 inches. A STOP sign is Octagon with all sides equal.
Thus, Octagon has 8 equal side
So, Each Side Measure = 104/8 ⇔ 13inches
2. Given, In Triangle ABC, ∠A & ∠B each measure 70°
And, We Know Sum of all angles of a triangle is 180°.
Thus, ∠C = 180° - (∠A + ∠B) ⇔ 180°-140° ⇒ 40°
3. Given, The measures of the three angles of a quadrilateral are ∠A=49° ,∠B=58° & ∠C=127° .
And, We know sum of all angles of quadrilateral is 360°.
Thus, ∠D=360° - (∠A+∠B+∠C) ⇔ 360°-234° ⇒ 126°
4. Given, The measure of all the Four angles of a quadrilateral are ∠A=(x+40)°, ∠B=130°, ∠C=x° & ∠D=(2x-10)° .
And, We know sum of all the angles of quadrilateral is 360°.
Thus, ∠A+∠B+∠C+∠D = 360°
Put all the Values, we get
x+40+130+x+2x-10 = 360
4x+160 = 360
4x = 200 ⇔ 200/4 ⇒ 50°
5. Given, the length of the two sides of an isosceles triangle are 3cm and 7cm .
Now, in order to form a triangle the sum of any two side of a triangle is always greater than the third side of a triangle.
So, We have an isosceles triangle in which two sides is always equal & we have given two sides of 3cm & 7cm .
Assume, if third side be 3cm (First Side+Third side > Second side)
3+3 ⇒6cm which is not greater than 7cm(thus, the Triangle not possible if we assume 3cm as triangle's third side)
Hence, The other Side of Triangle Surely be 7 cm.
the equation cos(x)( cos(x)-tan(x)sin(x)) simplifies to
Help
Will
Give
Brainlist
Answer
Answer:
[tex]\frac{7}{4.1}[/tex]
Step-by-step explanation:
the word ''to'' means over
A random variable X is exponentially distributed with an expected value of 68.
a-1. What is the rate parameter A? (Round your answer to 3 decimal places.)
Rate parameter
a-2. What is the standard deviation of X?
Standard deviation X
b. Compute 264 s XS 72). (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)
P(64 SX S72)
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin.
r = 4 cos 5θ
Answer:
y-acis
Step-by-step explanation:
the function graph is symmetric about
- y-axis when it is an even function
-the origin ehen it is an even function
A symmetrical graph about the x-axis is not a function graph
f(×) is a even if and only if f(×) =f(×)
f(×) is a odd if and only f(×)=f(×)
We have the function r(0) = 4cos (50)
(only symmetry about the y-acis or about the origin)
Check r(-0)
r(-0) = 4cos (5-0) = 4cos (-50 = 4 cos (50)
Used cos (-× = cos ×
We have r(0). Therefore the graph of r(0) is symmectric about the y-axis.
solutia reala a ecuatiei 4x la a doua = 6 intregi si 1/4 (dau coroana)
Answer:
x = + 5/4 or x = - 5/4
Step-by-step explanation:
[tex]4 x^2 = 6\frac{1}{4}\\\\4 x^2 = \frac{25}{4}\\\\x^2 =\frac{25}{16}\\\\x = \pm \frac{5}{4}[/tex]
the taco truck sells tacos for $3 and burritos for $4. the number of items sold on a tuesday is 125 with a total income of $430. how many tacos were sold?
Answer:
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations:
3 T + 4 B =425
T + B = 125
Where T is the number of tacos sold, and B is the number of burritos sold.
Multiplying the second equation by 3, and subtracting it to the first equation:
3 T + 4 B =425
3T + 3B = 375
___________
B =50
Replacing B in any equation:
T + B = 125
T +50 =125
T =125-50
T = 75
Feel free to ask for more if needed or if you did not understand something.
Determina la masa molar y el volumen que ocupa la siguiente sustancia CO2, si su masa es de 28 gr. *
Answer:
Para el CO₂ sabemos que:
densidad = 0,001976 g/cm³
Sabemos que:
densidad = masa/volumen
Entonces, si tenemos una masa de 28 g, podemos escribir:
volumen = masa/densidad
volumen = (28g)/(0,001976 g/cm³) = 14,170 cm^3
Para obtener la masa molar (es decir, la masa de un mol de esta sustancia) simplemente sumamos la masa de un mol de cada componente.
Carbono: tiene una masa molar de 12 g/mol
Oxígeno: tiene una masa molar de 16 g/mol (y tenemos dos oxígenos)
entonces la masa molar va a ser:
masa molar = 12g/mol + 2*16g/mol = 44 g/mol
Es decir, un mol de CO₂, pesa 44 gramos.
Can someone please help I need the answer ASAP
do you have a clearer picture please? I can help :))
In a bowl of fruit, there are green grapes and black grapes in the ratio 3:4 If there are 24 green grapes, how many black grapes are there?
answer is 32
ask me more questions any time
f(x) =-x²+16 and g(x) =x+4
f(x)/g(x) = (x2-16)/(x+4)
The domain is all real numbers except x = -4 (because the denominator is zero at x = -4 and division by zero is undefined.)
We can simplify by factoring the numerator:
(x2-16)/(x+4) = (x-4)(x+4)/(x+4) = (x-4)
The domain is the same as the original expression: all real numbers except x = -4
Solve for y please and thank you
Answer:
c) y = 8[tex]\sqrt{3}[/tex]
Step-by-step explanation:
in a 30-60-90° Δ the ratio of the sides, respectively, is 1: [tex]\sqrt{3}[/tex] : 2
if the side opposite the 30°∡ is 8 then 'y' is 8[tex]\sqrt{3}[/tex] and 'x' is 16
Help find x and angle BEC
Answer:
x = 32 and BEC = 43
Step-by-step explanation:
3X + 41 = 137
3X = 96
X = 32
FOR BEC:
137 + 137 = 274
360-274=86 ( ANGLES AROUND A POINT ADD UP TO 360)
86/2 = 43
BEC/AED = 43 ( VERTICALLY OPPOSITE ANGLES ARE EQUAL)
hope this helps good luck!
if 1/a+1/b+1/c=1/a+b+c then prove that 1/a^9+1/b^9+1/c^9=1/a^9+1/b^9+1/c^9
Answer:
The given relation is presented as follows;
[tex]\dfrac{1}{a} + \dfrac{1}{b} +\dfrac{1}{c} = \dfrac{1}{a + b + c}[/tex]
Where 'a', 'b', and 'c' are member of real numbers, we have;
a⁹, b⁹, and c⁹ are also member of real numbers
When a⁹ = x, b⁹ = y, and c⁹ = z
By the above relationship, we have;
[tex]\dfrac{1}{x} + \dfrac{1}{y} +\dfrac{1}{z} = \dfrac{1}{x + y + z}[/tex]
Substituting x = a⁹, y = b⁹, and z = c⁹, we get;
[tex]\dfrac{1}{a^9} + \dfrac{1}{b^9} +\dfrac{1}{c^9} = \dfrac{1}{a^9 + b^9 + c^9}[/tex]
Step-by-step explanation:
Pls answer both Pls pls
Answer:
bjkfkvdvdejij
Step-by-step explanation:
22333444 ijdcijsivjdivdvndk snciscicicnlvjavjadvj
There are 75 students in classes A and B altogether. There are 61 students in classes A and C altogether. The ratio of the number of students in Class B to Class C is 5:3. How many students are there in Class A?
Answer:
40
Step-by-step explanation:
A + B=75
A + C = 61
B = 5/3 *C
A+C * 5/3 = 75 then we got the answer
Answer:
A = 40
Step-by-step explanation:
A+B = 75
A+C = 61
Subtract
A+B = 75
-A-C = -61
----------------------
B-C = 14
B:C
5:3
for every 5B there are 3C
Replace B with 5/3 C
5/3C-C = 14
2/3C = 14
C = 21
A+C = 61
A +21 = 61
A = 40
Can someone please help me answer this question asap thank
Answer:
1. x = -6, -8, -90
2. solutions for [tex]-2x\geq 10[/tex] include -5, while -5 is not a solution for [tex]-2x>10[/tex]
Step-by-step explanation:
A² + b² = 7b and b² + (2b-a)² = 7² find (a - b)².
Answer:
(a - b)^2 = 49 - 4b^2 +2ab
Step-by-step explanation:
Given: a^2 + b^2 = 7b (assuming A is really “a”)
b^2 + (2b - a)^2 = 7^2
Find; (a - b)^2
Plan: Use Algebraic Manipulation
Start with b^2 + (2b - a)^2 = 7^2 =>
b^2 + 4b^2 - 4ab + a^2 = 49 by expanding the binomial.
a^2 + b^2 + 4b^2 - 4ab = 49 rearranging terms
a^2 + b^2 -2ab - 2ab + 4b^2 = 49 =>
a^2 - 2ab + b^2 = 49 - 4b^2 +2ab rearranging and subtracting 4b^2 and adding 2ab to both sides of the equation and by factoring a^2 - 2ab + b^2
(a - b)^2 = 49 - 4b^2 +2ab
Double Check: recalculated ✅ ✅
(a - b)^2 = 49 - 4b^2 +2ab
HURRY !!!!!! Which describes the correlation shown in the scatterplot?
help me pls due in 49 mins
Answer:
Step-by-step explanation:
cos(c)= x/ac
ac = cos32/9.4
ac =11.08
Answer:
Step-by-step explanation:
sin(58/9.4 = sin(90)/AC
AC= 11.08
Segment Addition Postulate
Using the following image, solve for x.
Answer:
Here,
CD + DE = CD
x+10 + x+4 = 8
2x + 14 = 8
2x= -6
x= -3
Shirts-2-Go sells t-shirts for a base price of $12 per shirt plus a fixed fee of $3 shipping and handling for the whole order. Shirts PLUS sells t-shirts for a base price of $8 per shirt plus a fixed fee of $23 shipping and handling for the whole order. Let x represent the number of shirts ordered and let y represent the total cost of the order.
y = 12x + 3
y = 8x + 23
How many shirts would you have to purchase for the total cost to be the same at both companies?
Answer:
5 shirts
Step-by-step explanation:
Y=12x+3 equation 1
y=8x+23 equation 2
12x+3=8x+23 substituting y value will cause equations to equal
4x=20
x=5 shirts
check answer
y=12x+3
y=12(5)+3
y=60+3
y=63
y=8x+23
y=8(5)+23
y=40+23
y=63
Express as simply as possible with a rational denominator
7/√10
Answer:
7√10 / 10.
Step-by-step explanation:
7/√10
Multiply top and bottom by √10:
= 7√10 / 10
Find the quadratic equation whose parabola has vertex (3,-2) and y-intercept (0, 16). Give your
answer in vertex form.
Answer:
y = 2*(x - 3)^2 - 2
Step-by-step explanation:
Remember that a quadratic equation of vertex (h, k) is written as:
y = a*(x - h)^2 + k
Where a is the leading coefficient.
So, if we know that the vertex is at (3, - 2)
we have:
y = a*(x - 3)^2 + (-2)
And we want the y-intercept to be (0, 16)
This means that, when we take x = 0, we must have y = 16
if we replace these in the above equation we get:
16 = a*(0 - 3)^2 - 2
now we can solve this for a
16 = a*(-3)^2 - 2
16 = a*9 - 2
16 + 2 = a*9
18 = a*9
18/9 = a
2 = a
Then the quadratic equation is:
y = 2*(x - 3)^2 - 2