Answer:
The similarity postulate theorem is;
Similar - AA
Step-by-step explanation:
We are told that angle p is congruent to angle s, angle q is congruent to angle t.
Thus it is an AA similarity theorem because AA similarity theorem states that: If two angles in one triangle are congruent/respectively equal to two angles of another triangle, then the 2 triangles are similar.
For example, if we assume ΔABC and ΔDEF to be two triangles such that ∠A = ∠D and ∠B = ∠E. Then the two triangles are equiangular and thus they are similar by AA.
Answer: similar AA is correct
Step-by-step explanation:
Just took the test:)
Mariano puede despachar periódicos 2 veces el tiempo que le toma a Alberto. ¿Cuánto tiempo le llevará a cada uno si juntos pueden hacer el trabajo en 3h?
Answer:
El tiempo le llevara a Mariano es 2 horas y el tiempo que le llevara a Alberto es de una hora
Step-by-step explanation:
Para calcular el tiempo que le llevará a cada uno si juntos pueden hacer el trabajo en 3h, tenemos que primero segun los datos considerar lo siguiente:
Segun los datos tenemos que Mariano puede despachar periódicos 2 veces el tiempo que le toma a Alberto, por lo tanto:
2X=Mariano puede despachar periódicos 2 veces el tiempo que le toma a Alberto
X=El tiempo que le toma a Alberto.
Por lo tanto calculando la siguiente ecuacion, podremos hallar el valor de X:
2X+X=3 horas
3X=3 horas
X=1 hora
Entonces, tenemos que el tiempo le llevara a Mariano es 2 horas y el tiempo que le llevara a Alberto es de una hora
7. In 2015 a club has 250 members who each
pay
$95 annual subscription.
In 2016 the membership increases by 4% and the annual subscription is
increased by 6%. What is the total income from subscriptions in 2016?
2015:
250 members
$95 annual subscription
2016
250 members + 4%
$95 annual subscription + 6%
Work:
250 x 1.04 = 260
95 x 1.06 = 100.7
260 x 100.7 = 26,182
Thus, the club makes $26,182 from 260 members who pay a subscription of $100.7
Change 80265 gram to kilogram
Hey there! :)
Answer:
80.265 kg.
Step-by-step explanation:
1 kilogram = 1000 grams. Therefore:
[tex]\frac{80265g}{1} * \frac{1 kg}{1000g} = \frac{80265kg}{1000} = 80.265 kg[/tex]
80265 grams = 80.265 kg.
Answer:
80.265 kg
Step-by-step explanation:
1 kilogram is equivalent to 1,000 g. Therefore, the decimal point goes 3 spaces to the left to divide by 1,000, which is one rack ayyy.
A chemist is using 367milliliters of a solution of acid and water. If 18.4% of the solution is acid, how many milliliters of acid are there? Round your answer to the nearest tenth.
Answer:
For this case we know that the total amount of solution including water and acid is V=367 ml
And we know that the % of acid in the solution is 18.4% so then we can find the number of ml of acid witht this operation:
[tex] Acid = 0.184 *367 ml = 67.528 ml \approx 67.5 ml[/tex]
Step-by-step explanation:
For this case we know that the total amount of solution including water and acid is V=367 ml
And we know that the % of acid in the solution is 18.4% so then we can find the number of ml of acid witht this operation:
[tex] Acid = 0.184 *367 ml = 67.528 ml \approx 67.5 ml[/tex]
Plssssssssssssss help me it’s due tomorrow I really need help I will mark brainliest!!!
Answer:
∠BAD = 100°
∠ADC = 105°
∠DCB = 50°
∠ABC = 105°
Step-by-step explanation:
∠BAD is given.
∠ADC is supplementary to the 75°, so it is 180-75 = 105°
∠DCB is 50° just like its opposite angle
The sum of all angles in a quadrilateral must be 360, so ∠ABC = 360-100-105-50 = 105.
can someone please help me, I don’t understand this
Answer:
To find the circumference
diameter x 3.14 = circumference
We can undo the multiplication and divide to get the diameter
37.68 /3.14 = 12
diameter / 2= radius
12 / 2 = 6
the radius is 6
radius x radius x pi = area
6 x 6 x 3.14 = 113.04
113.04 is the answer
Hope this helps
Step-by-step explanation:
Answer:
113.04 square inches.
Step-by-step explanation:
The formula to find the circumference is 2πr. The formula for the area is πr^2. We are trying to find r in order to solve the problem.
It says use 3.14 for π. The circumference is 37.68 inches.
2πr = 37.68
2 * 3.14r = 37.68
3.14r = 18.84
r = 6
Now that we know the radius of the circle, we can find the area!
πr^2 = 3.14 * (6^2) = 3.14 * 36 = 113.04.
Hope this helps!
40% of the student in a class are female. if there are 10 females in the class, how many males are there in the class
What we were given:
40% of the student in a class are female. if there are 10 females in the class, how many males are there in the class
Answer:
15 males
The total no. of males in a class is 15.
To find the no. of males.
What is arithmetic?science that deals with the addition, subtraction, multiplication, and division of numbers and properties and manipulation of numbers.
Given that:
If females are 40% , % of males =100-40=60%.
Let the total no. of students be x.
No. of girls = 40% of x
10= (40/100) * x
x=(10*100)/40
x= 25
total no. of students =25
Total no. of males = 60% of x
=(60/100)* 25
=15
So, total no. of males in a class is 15.
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Customers at your store select their groceries from shelves and then pay. Sales records and records of restocks for flaming roast coffee ( 1 lb size) are as follows: # of sales tues 5, we'd 8, thu 2, fri 19, sat 22, sun 15, mon 3, # of restock tue 6, wed 12, thurs 12, fri 18, sat 24, sun 0, mon0. What is the net change of how many bags are on the shelf, from the the beginning of tuesday to the end of monday?
Answer: - 2
Step-by-step explanation:
- - - - - - - - - - - T - - W - - TH - - F - - S - - S - - M
# of SALE - - - 5 - - 8 - - - 2 - - 19 - 22 - 15 - - 3
# of restock - 6 - - 12 - - 12 - - 18 - 24 - 0 - - 0
Calculating the change in shelf unit on a daily basis:
Change = difference in restock unit and the unit sold, that is, # RESTOCK - # SOLD
TUESDAY :
6 - 5 = 1
WEDNESDAY :
12 - 8 = 4
THURSDAY :
12 - 2 = 10
FRIDAY :
18 - 19 = - 1
SATURDAY :
24 - 22 = 2
SUNDAY :
0 - 15 = - 15
MONDAY :
0 - 3 = - 3
The net change equals the algebraic sum of all daily changes in shelf unit between Tuesday to Monday ;
[1 + 4 + 10 + (-1) + 2 + (-15) + (-3)]
[1 + 4 + 10 - 1 + 2 - 15 - 3]
[ 1 + 4 + 10 + 2 - 1 - 15 - 3]
= 17 - 19
= - 2
Number of bags decreased by 2
Which of the following is a solution to the system of nonlinear equations below?
Answer:
the solution to the system of nonlinear equations is C. (0,3)
What is the length of BD?
Answer: BD = 9 units
Step-by-step explanation:
ABQ and CDQ are congruent triangles. That means their angle measures are the same but their lengths may be proportional.
19.2 / 32 = 0.6
15 * 0.6 = 9
So the length of side BD is 9 units.
Answer:
9 units
Step-by-step explanation:
Solve: -4 < -2x < 10
Explanation:
The expression -2x means -2 times x. To undo this, we divide all parts of the inequality by -2. Dividing by a negative number will flip the inequality sign. We go from "less than" to "greater than"
-4 < -2x < 10
-4/(-2) > x > 10/(-2) .... inequality signs flip
2 > x > -5
-5 < x < 2
This unknown number x is between -5 and 2. It cannot equal -5. It cannot equal 2.
A taxi company charges passengers $2.00 for a ride, no matter how long the ride is, and an additional $0.20 for each mile traveled. The rule c = 0.20m + 2.00 describes the relationship between the number of miles m and the total cost of the ride c. What is the charge for a 1-mile ride? A)$0.20 B)$0.02 C) $2.20 D)$2.00
Answer:
c
Step-by-step explanation:
Any ride takes $2.00 and one mile takes $0.20.
Cost = $0.20 + $2.00
Cost = $2.20
Three angles of an octagon are equal and the sum of the remaining angles is 705⁰. find the size of one of the equal angles.
Answer:
125°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 8 (octagon), thus
sum = 180° × 6 = 1080°
let x represent one of the equal angles, then
3x + 705 = 1080 ( subtract 705 from both sides )
3x = 375 ( divide both sides by 3 )
x = 125
Thus the size of one equal angle = 125°
Which situation is best represented using a negative integer? A)a deposit of $35 into a bank account B)the temperature decreasing by 18º C)an additional 5 gallons of gas being put into a car D)a student reading today for 20 minutes longer than yesterday
Answer:
B
Step-by-step explanation:
Answer:
I don't know if I'm right but i think it's B
Step-by-step explanation:
again, I'm not so sure, so if I'm wrong please correct me
In 2004, the world's fastest knitter was able to knit 225 stitches in 3 min. How long would she take to knit a scarf that was 20 cm wide and 1.2 m long, if she used yarn that resulted in 1.6 stitches per centimetre?
It will take her 49.15 seconds to knit the scarf.
Since in 2004, the world's fastest knitter was able to knit 225 stitches in 3 min, to determine how long would she take to knit a scarf that was 20 cm wide and 1.2 m long, if she used yarn that resulted in 1.6 stitches per centimeter, the following calculation must be performed:
0.2 x 120 = Area 24 cm2 = Area 1.6 x 1.6 = 2.56 stitches per cm2 24 cm2 x 2.56 = 61.44 225/3 = 75 61.44 / 75 = 0.8192 1 = 60 0.8192 = X 0.8192 x 60 = X 49.15 = X
Therefore, it will take her 49.15 seconds to knit the scarf.
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help please!!!! ty :)
Answer:
I think the answer should be 112
I'm guessing the supports in the water are equally distanced. Therefore, I'd divide 168 by four to get a singular distance between two supports. I got 42 yards.
I NEED HELP ASAP!!! MIGHT MARK BRAINLIEST
Answer:
the temp now is 0 degrees
-12+12=0
Step-by-step explanation:
hope i helped
brainliest pls!
-Zylynn
If, 3a/b= 12 what is the value of (-a/-b)
Answer:
A ; -4
Step-by-step explanation:
3a = 12b then a = 4b (dividing by 3)
we put 4b in the equation instead of a:
(-4b / b) = -4
.. ..
Answer:
A. -4
Step-by-step explanation:
3a/b = 12
Let b = 2
3a/2 = 12
3a = 24
a = 8
( - a/b)
( - 8/2)
( - 4)
?
Match each ratio to an equal ratio. Drag the items on the left to the
correct location on the right.
1:4
4:48
1:3
4:6
2:3
2:8
1:12
2:6
Answer:
2:8 is the ratio to an equal ratio
12. Where do the lines y = 5 and x = -7 intersect?
Answer:
(-7,5)
Step-by-step explanation:
y = 5 and x = -7
The lines intersect at the point x=-7 and y =5
(-7,5)
If Tanø =a/b Find the value of sinø+cosø/sinø-cosø
Answer:
[tex]\frac{b+a}{b-a}[/tex]
Step-by-step explanation:
Tan θ = [tex]\frac{perpendicular}{base}[/tex] = [tex]\frac{b}{a}[/tex]
So, Perpendicular = b, base = a
Finding hypotenuse by Pythagorean Theorem:
[tex]c^2 = a^2+b^2[/tex]
=> So, hypotenuse = c
Sin θ = [tex]\frac{perpendicular}{hypotenuse}= \frac{b}{c}[/tex]
Cos θ = [tex]\frac{base}{hypotenuse}= \frac{a}{c}[/tex]
So, Now finding [tex]\frac{sin\theta+cos\theta}{sin\theta-cos\theta}[/tex]
=> [tex]\frac{b}{c} + \frac{a}{c}[/tex] ÷ [tex]\frac{b}{c} - \frac{a}{c}[/tex]
=> [tex]\frac{b+a}{c}[/tex] ÷ [tex]\frac{b-a}{c}[/tex]
=> [tex]\frac{b+a}{c} * \frac{c}{b-a}[/tex]
=> [tex]\frac{b+a}{b-a}[/tex]
Please help me……………………………………………………………
Hey there! :)
Answer:
x = -6.
Step-by-step explanation:
Given:
[tex]\sqrt[3]{5x-4} = \sqrt[3]{7x + 8}[/tex]
Cube both sides:
5x - 4 = 7x + 8
Subtract 5x from both sides:
-4 = 2x + 8
Subtract 8 from both sides:
-12 = 2x
x = -6.
The formula for a volume of a cylinder is V= pi r squared h/3. solve the equation for h, or height. PLZ help ASAP
Answer:
h=3V/πr²
Step-by-step explanation:
V= πr²h/3πr²h=3Vh=3V/πr²Answer:
3V / (pi r^2) = h
Step-by-step explanation:
V= pi r squared h/3
Multiply each side by 3
3V = pi r^2 h /3 * 3
3V = pi r^2 h
Divide each side by pi r^2
3V / (pi r^2) = pi r^2 h /( pi r^2)
3V / (pi r^2) = h
Please answer this question fast in two second
Answer:
it could be angle DGF or CGA (they are both supplementary to angle CGD)
Step-by-step explanation:
Find the slope of the line that passes through (3, 6) and (6, 10). Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
4/3
Step-by-step explanation:
To find slope use the formula (y2-y1)/(x2-x1)
In this case it is (10-6)/(6-3)
4/3
1. Which of the following conversions is possible?
O Feet to Miles
O Pounds to Inches
O Grams to Centimeters
0 Meters to Liters
Answer: feet to miles
Step-by-step explanation:
Answer:
feet to miles
Step-by-step explanation:
feet to miles is the possible conversion
because the rest are two different type of measurements
I NEED HELP HURRY PLEASE, THANKS! :)
Answer: [tex]\bold{b)\quad \dfrac{\pi}{2}+n\pi,\ \dfrac{\pi}{4}+2n\pi}[/tex]
Step-by-step explanation:
cos x tan x - cos x = 0
cos x (tan x - 1) = 0
cos x = 0 tan x - 1 = 0
[tex]x=\dfrac{\pi}{2},\ \dfrac{3\pi}{2}[/tex] tan x = 1
[tex]x=\dfrac{\pi}{4},\ \dfrac{5\pi}{4}[/tex]
Thanks! I hope my answer would be easy to understand.
4.- En una pastelería han preparado 30 pasteles. Los van a colocar en bandejas de forma que en cada bandeja haya el mismo número de pasteles y no sobre ninguno. ¿De cuántas formas los puede colocar?
Answer:
7 formas
Step-by-step explanation:
En la pastelería, se han preparado 30 pasteles.
Cada bandeja contendrá la misma cantidad de pasteles.
Para encontrar de cuántas maneras puedes ponerlos, tenemos que encontrar los factores de 30. Ellos son:
1, 2, 3, 5, 6, 10, 15, 30
Esto significa que podemos tener:
30 bandejas que contienen 1 bandeja cada una
15 bandejas con 2 tortas cada una
10 bandejas con 3 tortas cada una
6 bandejas con 5 tortas cada una
5 pasteles que contienen 6 pasteles cada uno
3 bandejas con 10 pasteles cada una
2 bandejas con 15 tortas cada una
Esto significa que hay 7 formas de colocar los pasteles.
What is the function below to find f(4) f(x)=1/3•4^x
Answer:
85.33333
Step-by-step explanation:
You would simply substitute 4 whenever there is an x.
f(4) = (1/3) * 4^4
= (1/3) * 16 * 16
= (1/3) * 256
= 256/3
= 85.3333333333333333333333333333333333333
which is about 85.3333, or 85 and 1/3, or 256/3.
Hope this helps!
Simon has 160160160 meters of fencing to build a rectangular garden. The garden's area (in square meters) as a function of the garden's width xxx (in meters) is modeled by A(x)=-x(x-80)A(x)=−x(x−80)A, left parenthesis, x, right parenthesis, equals, minus, x, left parenthesis, x, minus, 80, right parenthesis What width will produce the maximum garden area?
The width for maximum area will be 40 metres.
Given,Simon has 160 metres of fencing to build a rectangular garden.
The garden's area (in square meters) as a function of the garden's width x(in meters) is modeled by,
[tex]A(x)=-x(x-80)[/tex].
We know that perimeter of rectangle will be,
[tex]P=2(L+B)\\[/tex]
Here p is 160,
So,[tex]160=2(L+B)[/tex]
[tex]\L+B= 80[/tex]
Now we have the sum of length and width off the rectangular garden is 80.
Since,
[tex]A(x)=-x(x-80)\\[/tex]
So, [tex]A(x)=x(80-x)[/tex]
We know that the area of rectangle will be the product of length and , here in question width is [tex]x[/tex] so the length will be[tex](80-x)[/tex].
Now we have to calculate the width for which the area will be maximum.
The area will be maximum when the first derivative of area function will becomes zero.
So,
[tex]\frac{\mathrm{d} }{\mathrm{d} x} A(x)=\frac{\mathrm{d} }{\mathrm{d} x}(-x)(x-80)[/tex]
[tex]\frac{\mathrm{d} }{\mathrm{d} x}A(x)=\frac{\mathrm{d} }{\mathrm{d} x}(-x^{2} +80x)[/tex]
[tex]\frac{\mathrm{d} }{\mathrm{d} x}A(x)=-2x+80\\[/tex]
For maximum area ,
[tex]\frac{\mathrm{d} }{\mathrm{d} x}A(x)=0[/tex]
Hence,
[tex]-2x+80=0\\x=40[/tex]
Hence the width for maximum area will be 40 metres.
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The maximum area is 1600 sq meters.
Step-by-step explanation:The garden's area is modeled by a quadratic function, whose graph is a parabola.
The maximum area is reached at the vertex.
So in order to find the maximum area, we need to find the vertex's y-coordinate.
We will start by finding the vertex's x-coordinate, and then plug that into A(x).
The vertex's x-coordinate is the average of the two zeros, so let's find those first.
A(x)=0 -x(x-80)=0
↓ ↓
-x=0 or x-80=0
x=0 or x=80
Now let's take the zeros' average:
[tex]\frac{(0)+(80)}{2}=\frac{80}{2}=40[/tex]
The vertex's x-coordinate is 40. Now lets find A(40):
A(40)= -(40)(40-80)
= -(40)(-40)
= 1600
in conclusion, the maximum area is 1600 square meters.