Answers
Answer:
The SSS
Step-by-step explanation:
a common side are =,
and the other 2 are also I to I, and II to II.
Related Questions
How many quarters are there in $2?
Answers
Answer:
8 quarters
Step-by-step explanation:
4 quarters for a dollar
did u really need help on this question
Answer:
8 quarters are in two dollars
Step-by-step explanation:
There is four quarters in one dollar so when you have two there is eight quarters total.
Simplify: (sin θ − cos θ)^2 − (sin θ + cos θ)^2 A) −4sin(θ)cos(θ) B) 2 C) sin^2 θ D) cos^2 θ
Answers
Answer:
-4sinθcosθ
Step-by-step explanation:
Note:
1. (a + b)^2 = a^2 + 2ab + b^2
2. (a - b)^2 = a^2 - 2ab + b^2
3. sin^2θ + cos^2θ = 1
(sinθ -cosθ)^2 - (sinθ + cosθ)^2
= sin^2θ - 2sinθcosθ + cos^2θ - (sin^2θ + 2sinθcosθ + cos^2θ)
= sin^2θ + cos^2θ - 2sinθcosθ - (sin^2θ + cos^2θ + 2sinθcosθ)
= 1 - 2sinθcosθ - (1 + 2sinθcosθ)
= 1- 2sinθcosθ -1 - 2sinθcosθ
= - 2sinθcosθ - 2sinθcosθ
= -4sinθcosθ
The 10 students on the Deca Team were trying to decide in what order they should
sit on the bench during the session. In how many different ways can they arrange
themselves from left (next to the coach) to right at the end of the bench)?
Answers
Answer:
3628800
Step-by-step explanation:
10 students were trying to decide in how many ways they can arrange themselves from left to right.
There are 10 spaces and 10 students are to be sit.
Let us think of the first student.
10 empty spaces are there, so first student has 10 options.
Now, there are 9 empty spaces, so second student has 9 options.
Now, there are 8 empty spaces, so third student has 8 options.
Now, there are 7 empty spaces, so fourth student has 7 options.
:
:
Last student will have only 1 option.
So total number of ways [tex]= 10 \times 9 \times 8 \times 7 \times .....\times 1 = 3628800[/tex]
OR
Simply we can use the formula:
Number of ways to arrange n persons in a straight line = [tex]n![/tex] = [tex]10! = 3628800[/tex]
Use the drawing tools to form the correct answer on the grid. Graph a linear function with these key features: positive on (-8, ∞) negative on (-∞, -8) y-intercept of 4 I NEED AN ANSWER ASAP plz help
Answers
Answer:
see below
Step-by-step explanation:
The positive/negative information tells you the x-intercept is (-8, 0). The y-intercept information tells you the y-intercept is (0, 4). Those two points are sufficient to let you draw the graph with a drawing tool.
__
A "linear function" is a straight line. This one goes through the points listed above.
g(t)=-(t-1)^2+5
Over which interval does g have an average rate of change of zero?
Answers
Answer:
(0, 2)
Step-by-step explanation:
The graph of g(t)= -(t-1)^2+5 is an inverted parabola with vertex at (1, 5).
Making a table of t and g values would be helpful here:
t g(t) = -(t - 1)^2 + 5
------ -----
2 4
0 4
-1 1
1 5
We're looking for an interval on which the average rate of change is zero.
Note that this is the case on the interval (2, 4); g(0) = g(2) = 4, so the change in g is 4 - 4, or zero (0).
The average rate of change of [tex]g(t)=-(t-1)^2+5[/tex] is 0 in interval [tex]-1\leq t\leq 3[/tex].
Given,
[tex]g(t)=-(t-1)^2+5\\[/tex].
We have to find the interval in which [tex]g(t)=-(t-1)^2+5\\[/tex] have an average rate of change of zero.
We know that, the function [tex]f(x)[/tex] will have average range of 0 when [tex]f(b)=f(a)[/tex].
Now we calculate g(1), g(2),g(3) and g(-1),
[tex]g(1)=-(1-1)^2+5\\g(1)=5[/tex]
[tex]g(2)=-(2-1)^2+5\\g(2)=-1+5\\g(2)=4[/tex]
[tex]g(3)=-(3-1)^2+5\\g(3)=-4+5\\g(3)=1[/tex]
[tex]g(-1)=-(-1-1)^2+5\\g(-1)=-4+5\\g(-1)=1[/tex]
Since,
[tex]g(3)=g(-1)=1[/tex] so the function [tex]g(t)=-(t-1)^2+5\\[/tex] has an average rate of zero at [tex]-1\leq t\leq 3[/tex].
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Venus and Molly are selling candies to raise money for charity. They buy 80 bags of candy for $0.50 each. They sell all of them for $1.25 each. How much profit did they make? Hint: The profit is the difference between what the candies cost them and what they sold them for.
Answers
Answer: $60
Step-by-step explanation:
From the question, we are told that Venus and Molly are selling candies to raise money for charity and that they buy 80 bags of candy for $0.50 each. This means that the total cost will be:
= 80 × $0.50
= $40
They sell all of them for $1.25 each. This means that the total selling price will be:
= 80 × $1.25
= $100
Profit = Selling price - Cost price
= $100 - $40
= $60
I'm a little lost on this one Galen wrote the statement "If the sum of the digits in a number is divisible by 3, the original number is divisible by 3." Which statements are true regarding his work? Select three options. 1. The hypothesis of the statement is "If the sum of the digits in a number is divisible by 3 2. An equivalent statement is "If the sum of the digits in a number is divisible by 3, then the original number is divisible by 3." 3. The statement is not a conditional statement because it does not include both an "if" and a "then" clause. 4. The statement can be proven true or false. 5. The conclusion of the statement is written before the hypothesis. Any help would be appreciated.
Answers
note: I wasn't sure about statement 2. I think your teacher made a typo with that.
========================================================
Let's go through the five statements to see if they are true or not.
--------------------------------------------------
Statement 1) The hypothesis of the statement is "If the sum of the digits in a number is divisible by 3"
This is a true statement as conditionals are of the basic form "if hypothesis, then conclusion". A hypothesis is an educated guess or assumption, and it leads to the conclusion which is often directly (or somewhat directly) tied to the hypothesis.
--------------------------------------------------
Statement 2) An equivalent statement is "If the sum of the digits in a number is divisible by 3, then the original number is divisible by 3."
This is a bit baffling as this is an identical copy of the statement Galen wrote at the top. It seems like your teacher made a typo here (probably didn't realize they cut/pasted the wrong thing). I'm not sure what to do here. I would ask your teacher for clarification.
--------------------------------------------------
Statement 3) The statement is not a conditional statement because it does not include both an "if" and a "then" clause.
This is false. It is indeed a conditional even if it doesn't fit the exact parameters of "if ..., then ...." format. You could have a conditional that reads "it gets wet outside if it rains", which can be rearranged into "if it rains, then it gets wet outside". Both are considered conditionals even though the first one doesn't have "then".
--------------------------------------------------
Statement 4) The statement can be proven true or false
This is true. We can prove Galen's statement to be true or false. In this case, it can be proven to be true. This is one of the many divisibility rules.
--------------------------------------------------
Statement 5) The conclusion of the statement is written before the hypothesis.
This is false. The conclusion in this case is "the original number is divisible by 3" which is written after the hypothesis. There is a way to write the conclusion first by saying "a number is divisible by 3 if the sum of its digits are divisible by 3". But that isn't the case here.
X^3+48x-64-12x^2/x^2+16-8x
Answers
The value obtained after dividing x³+48x-64-12x² by x²+16-8x will be (x-4).
What is the quotient?The number being divided is referred to as the dividend, and the number being divided by it is referred to as the divisor. The quotient is the outcome of the division.
We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.
It is given that,
= ( x³+48x-64-12x²) / (x²+16-8x)
Using the identity (a-b)² = a²+b²-2ab as,
⇒(x²+16-8x) = (x-4)²
= ( x³+48x-64-12x²) / (x-4)²
Using the identity (a-b)³ = a³ -3a²b +3a²b -b³
⇒ ( x³+48x-64-12x²) = (x-4)³
Substitute the value as
=(x-4)³ / (x-4)²
=(x-4)
Thus, the value obtained after dividing x³+48x-64-12x² by x²+16-8x will be (x-4).
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Dan Stocked up on batteries. He Brought 10 packages of AA and AAA batteries for a total of 72 batteries. The AA batteries are sold in packages of 6, and the AAA batteries are sold in packages of 8. Write a system of equations that can be solved to find how many packages of each type of battery Dan bought. Remember to define your variables.
Answers
Answer:
The system of equations that make the definition are;
x + y = 10 •••••••••(i)
6x + 8y = 72 ••••••••(ii)
Where x refer to the number of packages of AA battery bought and y refers to the number of packages of AAA batteries bought
Step-by-step explanation:
Here, we are to write system of equations that can be solved which will help give the number of packages of each type of battery bought.
Let the number of AA batteries bought be x while the number of AAA batteries bought be y;
Since he bought a total of 10 packages,
What this means is that;
x + y = 10 •••••••••(i)
We are also told that the AA batteries are sold in packages of 6, so the total number of AA batteries bought is; 6 * x = 6x
Also, we know that the AAA batteries are sold in packages of 8, so the total number of AAA batteries bought is 8 * y = 8y
We add both to give the total number of packages.
Mathematically, that would be;
6x + 8y = 72 •••••••••(ii)
By solving both equation set, we shall have the number of each types of batteries bought
While hovering near the top of a waterfall in a national park at 4096 feet, a helicopter pilot accidentally drops his sunglasses. The height h (t )of the sunglasses after t seconds is given by the polynomial function h (t )equals negative 16 t squared plus 4096. When will the sunglasses hit the ground?
Answers
Answer:
This means that the sunglasses will hit the ground after 16 secondsStep-by-step explanation:
Given the height h (t )of the sunglasses after t seconds modeled by the polynomial function h(t ) = -16t²+ 4096
Since the sunglasses hit the ground, the height of the glass on the ground will be 0feet. Substituting h(t)= 0 into the formula to know the time it takes the glass to hit the ground will give;
0 = -16t²+ 4096
0+16t² = 4096
16t² = 4096
Dividing both sides by 16;
16t²/16 = 4096/16
t² = 256
Taking the square root of both sides
√t² = √256
t = 16 seconds
This means that the sunglasses will hit the ground after 16 seconds
The movement of a projectile, thrown upwards vertically, is described by the equation y = - 40x + 200x . Where y is the height, in meters, reached by the projectile x seconds after launch. Therefore, determine the instant when the projectile hits the ground.
Answers
Answer:
The instant the projectile hits the ground is at 5 seconds.
Step-by-step explanation:
Easiest and fastest way to do this is to graph the equation and analyze where the graph crosses the x-axis.
Answer:
pen
Step-by-step explanation:
Can someone write these decimals in order starting with the smallest please:) 0.6, 0.64, 0.06, 0.604, 0.0604
Answers
Answer:
[tex]\boxed{0.06 < 0.0604 < 0.6 < 0.604 < 0.64}[/tex]
Step-by-step explanation:
In ascending order: (starting from the smallest)
[tex]\boxed{0.06 < 0.0604 < 0.6 < 0.604 < 0.64}[/tex]
Answer:
.0604 < .604 < .06< .64 < .6
Step-by-step explanation:
.6= 6/10
.64=.64/100
.06=6/100
.604=604/1000
.0604=604/10000
10. 80 machines can produce 4800 identical pens in 5 hours. At this rate
a) how many pens would one machine produce in one hour?
b) how many pens would 25 machines produce in 7 hours?
Answers
Answer:
12 and 2100
Step-by-step explanation:
(a)
Divide 4800 by 5 for pens per hour produced by 80 machines.
4800 ÷ 5 = 960 pens per hour
Divide 960 by 80 for pens per hour produced by 1 machine.
960 ÷ 80 = 12
Thus 1 machine produces 12 pens per hour
(b)
Multiply 12 by 7 for pens produce in 7 hours by 1 machine.
12 × 7 = 84 pens per hour
Multiply 84 by 25 for pens produced in 1 hour by 25 machines.
84 × 25 = 2100
Thus 2100 pens are produced by 25 machines in 1 hour
PLEASE HELP!!
Suppose f(x)=x^2. What is the graph of g(x)=1/4 f(x)
Answers
Answer: C
Step-by-step explanation:
G(x)= 1/4 x²
A fraction causes the parabola to become wider
Function [tex]f(x) = x^{2}[/tex] represents the graph of parabola while [tex]g(x) = \frac{f(x)}{4}[/tex] represents the horizontally stretched form of f(x). Parabola become wider.
What is graph?" Graph is defined as the representation of the relation between two variable on the coordinate plane along x-axis and y-axis."
According to the question,
Given function
[tex]f(x) = x^{2}[/tex]
g(x) is defined as divide f(x) by 4.
[tex]g(x) = \frac{f(x)}{4}[/tex]
[tex]= \frac{x^{2} }{4}[/tex]
Graph becomes wider as shown in the graph drawn with comparison of f(x) and g(x),
Hence, Option(C) is the correct answer.
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Find the area of the triangle.
18.2 m
13 m
22.3 m
[ ? ] m2
Answers
Step-by-step explanation:
The area of triangle is 53.5m2
Answer: 118.2977 sq. m.
Step-by-step explanation:
Step 1: Calculate "s" (half of the triangles perimeter):
s = a+b+c / 2
s = (13 + 18.2 + 22.3) / 2
s = 26.75
Step 2: Then calculate the Area:
Herons formula
A = √( s(s-a)(s-b)(s-c) )
A = √(26.75 (26.75 - 13)(26.75-18.2)(26.75-22.3)
A = (3√9951535) /80
A = 118.2977 sq. m.
Find the area of △ABC with side lengths b = 9 and c = 14, and included angle A = 145∘. Round your answer to the nearest tenth.
Answers
Answer:
12 as well 45 78 u want to go 89
Which set of numbers includes only whole numbers? A Venn diagram. A large box is labeled rational numbers. A box inside the rational numbers box is labeled integers. A box inside the integers box is labeled whole numbers. Negative 4, one-half, 2, 3 and StartFraction 7 Over 8 EndFraction StartFraction 1 Over 6 EndFraction, 0, one-fourth, three-fifths 2, 5, 6, 15 Negative 2, 4, 10, 20
Answers
Answer:
5 is an integer, but not a whole number.
answer: D
Step-by-step explanation:
Answer:
B: -3, -2, 2, 3
Step-by-step explanation:
it is correct
What are the coefficients in the expression, 9 - 4 + 3b + 7a?
Answers
Answer:
The coefficients are b and a
The coefficients in the expression are 3 and 7.
What is an expression?An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.
Now the given expression is,
9 - 4 + 3b + 7a
So, from the given expression we can see that there are 4 terms, 2 constants and 2 coefficients.
The coefficient of b is 3,
and coefficient of a is 7.
So, there are 2 coefficients in the given expression.
Thus, the coefficients in the expression are 3 and 7.
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Paul has 15 T-shirts. The information shows the colours of his T-shirts. He takes one of his blue T-shirts at random. What is the probability that the T-shirt is light blue? 5 black 3 white 3 red 2 dark blue 1 light blue 1 yellow
Answers
Answer:
1/3
Step-by-step explanation:
In math, to find the probability of an event we need to take the total amount of favorable outcomes and divide this number between the total amount of possible outcomes.
In this case Paul has 15 T-shirts and he takes one of his blue T-shirts at random. We can see that he has a total of 3 blue shirts, thus, the total amount of possible outcomes is 3.
Now, we need to find the probability that the T-shirt is light blue, he only has 1 light blue t-shirt so the number of favorable outcomes is 1.
If we divide the number of favorable outcomes between the number of possible outcomes we have [tex]\frac{1}{3}[/tex]. Thus, the probability that the T-shirt is light blue is 1/3
Cost of Toy Cars A graph with cars on the x-axis and cost on the y-axis. A line goes through points (0, 0), (2, 3), (4, 6). What is the cost of 18 toy cars?
Answers
Answer:
27 :)
Step-by-step explanation:
$27 it D
Step-by-step explanation:
Rounded to the nearest tenth, what is the perimeter of rectangle ABCD? rectangle ABCD with diagonal AC, labeled as measuring 20 centimeters, angle BAC measuring 30 degrees, angle BCA measuring 60 degrees, angle DCA measuring 30 degrees, and angle DAC measuring 60 degrees A. 48.3 cm B. 54.6 cm C. 60.0 cm D. 173.2 cm
Answers
Answer:
54.6 cm : B
Step-by-step explanation:
Mathematically the area of a rectangle is 2( l + b)
So in practical terms we only need the measure of two sides as we have 2 equal sides for a rectangle.
We can see that we have two right angles on each sides
Now to find b, we can use trigonometric ratios
For each of the rectangles, the diagonal represents the hypotenuse
Mathematically;
sin 30 = b/20
From triangle ABC
b = 20 sin 30 = 20 * 0.5 = 10 cm
Now, to get l
Mathematically;
Sin 60 = l/20
l = 20 sin 60 = 17.32 cm
So the perimeter is;
2(10 + 17.32)
2(27.32) = 54.64 cm which is 54.6 to the nearest tenth
The mean height of a Clydesdale horse is 72 inches with a standard deviation of 1.2 inches. What is the probability that a Clydesdale is greater than 75 inches tall? Select one: 2.5 0.9938 62.5 0.0062
Answers
Answer: 0.0062
Step-by-step explanation:
We assume that the height of a Clydesdale horse is normally distributed.
Let x denotes the height of the Clydesdale horse
Given: Mean : [tex]\mu=72\ inches[/tex]
Standard deviation: [tex]\sigma=1.2\ inches[/tex]
Now, the probability that a Clydesdale is greater than 75 inches tall :
[tex]P(X>75)=P(\dfrac{X-\mu}{\sigma}>\dfrac{75-72}{1.2})\\\\=P(z>2.5)\ \ [z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(z\leq2.5)\\\\=1- 0.9937903\ [\text{By z-table}]\\\\=0.0062097\approx0.0062[/tex]
Hence, the required probability is 0.0062.
Find the circumference of the circle. Use
3.14 for T. Round to the nearest tenth.
16.4 miles
J
к
M
[? ]miles
Answers
Answer:
51.5 milesSolution,
Diameter(d)= 16.4 miles
Radius(r)= 16.4/2= 8.2
Circumference of the given circle= ?
Now,
Circumference of circle:
[tex]2\pi \: r[/tex]
= 2 * 3.14 * 8.2
= 51.496
= 51.5 miles
Hope this helps...
Good luck on your assignment..
Answer:
51.5 miles
Solution,
Diameter(d)= 16.4 miles
Radius(r)= 16.4/2= 8.2
Circumference of the given circle= ?
Now,
Circumference of circle:
= 2 * 3.14 * 8.2
= 51.496
= 51.5 miles
Maisie has saved up $50 to buy concert tickets, but the tickets cost $125. She is able to earn $15 per day by walking her neighbor’s dogs. How many days will Maisie have to walk the dogs to earn enough money to buy the tickets? Let d = the number of days worked. What equation will you use to solve this word problem? What equivalent equation can you write after combining like terms? How many days will Maisie have to walk the dogs?
Answers
Answer:
15d + 50 = 125
15d = 75
5 days
Step-by-step explanation:
Her total must equal $125.
She has $50 so far.
50 + _____ = 125
In the blank, we will put what she will earn by walking the dogs.
Each day she will earn $15. In d number of days, she will earn 15d.
The equation is:
50 + 15d = 125
15d + 50 = 125
We can subtract 50 from both sides to get
15d = 75
Now we solve the equation to find the number of days.
We divide both sides by 15.
15d/15 = 75/15
d = 5
She will need to walk the dogs for 5 days.
B, A, C are the answers
What are the coordinates of point F? On a coordinate plane, point F is 4 units to the right and 2.5 units down.
whats the anser
(Negative 4, Negative 2 and one-half) (Negative 4, 2 and one-half) (4, negative 2 and one-half) (4, 2 and one-half)
Answers
Answer:
(4, -2.5)
which agrees with the third answer you typed: (4, negative 2 and one-half)
Step-by-step explanation:
If this is referred relative to the origin of coordinates (0, 0), then moving to the right 4 units makes x = 4.
Moving down 2.5 units makes y = -2.5
then the point you reach on the plane is given by the coordinates: (4, -2.5)
Answer:
Step-by-step explanation:
Four to the right means that x := 4
2.5 units down means that y = -2.5
The answer is (4,-2.5)
or
(four, and minus 2.5)
Is that the third one? I think it is.
Abigail was skateboarding home when the wheel axle of her skateboard broke. She had already traveled two thirds of the way home and had to walk the rest of the way. Walking the rest of the way home took her twice as long as it took her to ride her skateboard. How many times faster is Abigail on her skateboard than she is walking?
Answers
Answer:
Abigail was four times faster in the skateboard than when she is walking
Step-by-step explanation:
Let the total distance to travel be d
distance traveled on skateboard = 2/3 * d = 2d/3
distance walked = 1/3 * d = d/3
So let the time taken to skate be t, then time taken to walk home will be 2t since it is 2 times longer.
Now, the speed on both trips is distance/time
For the snowboard trip, speed is 2d/3/t = 2d/3t
For the walking trip, distance would be;
d/3/2t = d/6t
So let’s compare these two speeds.
Obviously the speed on the skateboard is greater than that walking.
So we can equally divide the speed on the skateboard by that while walking to know how many times faster it is.
Thus, mathematically we have
2d/3t divided by d/6t
So that would be;
2d/3t * 6t/d = 4
So this means she was four times faster on the skateboard
3. Find the cost of 1 km of pipe at 7 cents for every 40 cm.
Answers
Answer:
$175.
Step-by-step explanation:
There are 100 centimeters in meter and 1000 metres in a kilometer so we have 100,000 cm in a kilometer.
So the required cost
= 0.07 * 100,000 / 40
= 7000 / 40
= $175.
Answer:
Hello! :) The answer will be under “Explanation”
Step-by-step explanation:
As my answer I got $175
1km would equal to 100,000 cm
1m would be 100cm
That means 1 km = 100 000 cm
Now you have to divide.
100,000 divided by 40 equals to 2,500($0.07)
=$175
If we do the math correctly we can now see that the answer should be $175
Hope this helps! :)
By:BrainlyMember ^-^
Good luck!
TEN POINTS !!!!1 simplify the expression 64^1/3
Answers
Answer:
4
Step-by-step explanation:
64^1/3
Rewrite 64 as 4^3
4^3 ^ 1/3
We know that a^b^c = a^(b*c)
4 ^(3*1/3)
4 ^1
4
Answer:
4
Step-by-step explanation:
4x4x4=64
64^1/3 = (4 x 4 x 4)^1/3 = 4
the picture is the qestion
Answers
which is the least positive integer that should be multiplied with 2*2*5 so that we get perfect square..?
Answers
Answer:
Well, I think 5.
Because, 2×2×5 is Multiplied by 5 to complete pair
Which that given the number become perfect square.
So, The best choice is 5.
Good Luck!!~