Answer:
y=51(Alternate interior angles)
z=40(Alternalte interior angles)
x=89(Sum of angles in a triangle)
5. A cruise ship travels at a constant speed of 17.25 miles per hour for
hours. What distance did the cruise ship travel?
A quadratic equation is shown below
9x^2-36x+36=0
A Determine the radicand discriminat... the number under the radical sign tell how many solutions this equation has and indicate how you know based on the radicand show your work
B solve 2x^2-9x+7 for using x an appropriate method show the steps of your work
9514 1404 393
Answer:
A. d = 0 -- one (1) solution
B. x = {1, 3.5}
Step-by-step explanation:
A. The discriminant for ax²+bx+c = 0 is ...
d = b² -4ac
For the given equation, this is ...
d = (-36)² -4(9)(36) = 0
The discriminant is zero (0).
The discriminant divided by the leading coefficient (a=2) will give the difference between the two roots of the equation. When the difference is zero, as here, both roots are the same. Effectively, there is one (1) solution to the equation.
__
B. The equation can be factored as ...
2x² -9x +7 = (2x -7)(x -1) = 0
The solutions are the values of x that make the factors be zero:
2x -7 = 0 ⇒ x = 7/2
x -1 = 0 ⇒ x = 1
The solutions are x = 7/2 or x = 1.
Does m=b for the relationship
shown in this graph?
What is the slope of the line shown below?
Each of the 24 students in Mr. Shaw's homeroom sold 10 tickets to a sports event. How many tickets (x) were sold in the homeroom?
Answer:
240
Step-by-step explanation:
24 students sold 10 tickets so 24x10
If f(x)=3.5x, what is f(2)?
PLEASE SOMEONE HELP I DONT UNDERSTAND THIS AT ALL
The sides of ΔABC are a, b, and c. If the lengths of a = 7 and b = 10, what are the possible lengths of c?
Answer:
The possible lengths of c are between 3 to 17.
Step-by-step explanation:
According to the scenario, calculation of the given data are as follows,
a = 7
b = 10
As we know that, in a triangle length of third side is always greater than difference between the given two side, and always lesser than sum of both side.
So, Difference between both side = 10 - 7 = 3
Sum of both side = 10 + 7 = 17
Hence, the possible lengths of c are between 3 to 17.
Pls help I need an answer QUICK
Answer:
1 square unit
Step-by-step explanation:
Plug in s = 1/4 into the formula.
A = 16(1/4)^2
= 16(1/16) (since 4^2=16)
= 1 (cancel out the 16s)
This shape is made from parts of circles. Whats the perimeter? Please help
The required perimeter of the given shape is given as 14π.
Given that,
To determine the perimeter of the given shape,
Perimeter is the measure of the figure on its circumference.
Here,
The perimeter of the semi-circle is given as πr.
Since there are 4 sub circles, with a radius of 6, 4, 3, and 1 unit
The perimeter of the circles is given as = 6π + 4π + 3π + π = 14π
Thus, the required perimeter of the given shape is given as 14π units.
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A scatter plot is made to model the number of grams of fat in different portions of fried shrimp. The data used for the scatter plot are shown in the table below:
Number of portions 5 3 8 6 1 4
Number of grams of fat 45 27 72 54 9 36
Answer: :the number of grams of fat in each portion of fried shrimp
Step-by-step explanation:
When Ada was 15years and her sister ngozi was 18years. If Ada was born in 1970. In what year was ngozi born
Answer: 1967
Step-by-step explanation:
Ada was 15 years when her sister Ngozi was 18 years.
This means that Ngozi is older than Ada by:
= 18 - 15
= 3 years
If Ngozi is older by 3 years, this means that she must have been born 3 years earlier than Ada
If Ada was born in 1970, Ngozi was born:
= 1970 - 3
= 1967
If a=-6 and b=-10 evaluate the following:
a + 6
Answer:
-6+-10=-16
Step-by-step explanation:
+ - = -
........
What is the value of b in the equation shown below?
Answer:
b=1
Step-by-step explanation:
4^3/2^4=4^b
4=4^b
Step 1: Flip the equation
4^b=4
Step 2: Solve Exponent
4^b=4
b=1
what is the value of x?
x=____
If I 50% increase is followed by a 33 1\3 % decrease is it greater, less than, or the same as the original
Answer:
Greater than.
Step-by-step explanation:
Let the original value be x.
A 50% increase in x is given by
x + 50%x
=> x + 0.5x
=> 1.5x
Followed by a 33 [tex]\frac{1}{3}[/tex] % decrease in the value gives:
1.5x - 33 [tex]\frac{1}{3}[/tex] %(1.5x)
=> 1.5x - 0.33(1.5x)
=> 1.5x - 0.495x
=> 1.005x
Since 1.005x is greater than the original value, x, then:
A 50% increase followed by a 33 [tex]\frac{1}{3}[/tex] % decrease gives a value that is greater than the original.
2. Triangle ABC and triangle EFD ARE ?PLEASE HELP
Answer:
similar SAS
Step-by-step explanation:
because the angle c has the angle c and sides are cb,ba .
because the angle d has the angle d and slide are df, Fe
In the given right triangle, find the miss length.
A. 25 m
B. 27 m
C. 26 m
D. 28 m
Answer:
26
Step-by-step explanation:
Answer:
C. 26 m
Step-by-step explanation:
home / math / pythagorean theorem calculator
Pythagorean Theorem Calculator
Please provide any 2 values below to solve the Pythagorean equation: a2 + b2 = c2.
Result
abc
Given a=24 and b=10,
c = 26
∠α = 67.38° = 67°22'48" = 1.17601 rad
∠β = 22.62° = 22°37'12" = 0.39479 rad
area = 120
perimeter = 60
h =
120
13
= 9.2307692307692
+ Show Calculation Steps
a =
24
√
b =
10
√
c =
√
Calculate
Related
Triangle Calculator | Right Triangle Calculator
Pythagorean Theorem
The Pythagorean Theorem, also known as Pythagoras' theorem, is a fundamental relation between the three sides of a right triangle. Given a right triangle, which is a triangle in which one of the angles is 90°, the Pythagorean theorem states that the area of the square formed by the longest side of the right triangle (the hypotenuse) is equal to the sum of the area of the squares formed by the other two sides of the right triangle:
In other words, given that the longest side c = the hypotenuse, and a and b = the other sides of the triangle:
a2 + b2 = c2
This is known as the Pythagorean equation, named after the ancient Greek thinker Pythagoras. This relationship is useful because if two sides of a right triangle are known, the Pythagorean theorem can be used to determine the length of the third side. Referencing the above diagram, if
a = 3 and b = 4
the length of c can be determined as:
c = √a2 + b2 = √32+42 = √25 = 5
It follows that the length of a and b can also be determined if the lengths of the other two sides are known using the following relationships:
a = √c2 - b2
b = √c2 - a2
The law of cosines is a generalization of the Pythagorean theorem that can be used to determine the length of any side of a triangle if the lengths and angles of the other two sides of the triangle are known. If the angle between the other sides is a right angle, the law of cosines reduces to the Pythagorean equation.
There are a multitude of proofs for the Pythagorean theorem, possibly even the greatest number of any mathematical theorem.
Algebraic proof:
In the figure above, there are two orientations of copies of right triangles used to form a smaller and larger square, labeled i and ii, that depict two algebraic proofs of the Pythagorean theorem.
In the first one, i, the four copies of the same triangle are arranged around a square with sides c. This results in the formation of a larger square with sides of length b + a, and area of (b + a)2. The sum of the area of these four triangles and the smaller square must equal the area of the larger square such that:
(b + a)2 = c2 + 4
ab
2
= c2 + 2ab
which yields:
c2 = (b + a)2 - 2ab
= b2 + 2ab + a2 - 2ab
= a2 + b2
which is the Pythagorean equation.
In the second orientation shown in the figure, ii, the four copies of the same triangle are arranged such that they form an enclosed square with sides of length b - a, and area (b - a)2. The four triangles with area ab 2 also form a larger square with sides of length c. The area of the larger square must then equal the sum of the areas of the four triangles and the smaller square such that:
(b - a)2 + 4
ab
2
=
(b - a)2 + 2ab
= b2 - 2ab + a2 + 2ab
= a2 + b2
Since the larger square has sides c and area c2, the above can be rewritten as:
c2 = a2 + b2
which is again, the Pythagorean equation.
There are numerous other proofs ranging from algebraic and geometric proofs to proofs using differentials, but the above are two of the simplest versions.
Sara is crocheting two circles. The area of the larger circle is to be
2.5 times the size of the smaller. If the area of the smaller circle is about 50.2 square centimeters, what is the diameter of the larger circle?
Answer:
22.2 cm
Step-by-step explanation:
First, find the area of the larger circle.
50.2 x 2.5 = 125.5
Now, we need to find the diameter of the larger circle. We have the area, so we can plug this value into the formula of the area of the circle to find the diameter.
A = pi • r^2
125.5 =3.14 •r^2
122.36 = r^2
r = 11.1
Since radius is half the diameter, multiply r by 2.
11.1 x 2 = 22.2 centimeters
suppose you had a candy jar with the same ratio of jolly ranchers to jawbreakers as shown above, but it contained 720 candies. how many of each kind of candy would u have
The answers for both the parts are a) 260 and b) 200 Jolly Rancher and 520 jawbreakers.
What is ratio?A ratio is a way to show a relationship or compare two numbers of the same kind. We use ratios to compare things of the same type.
Given that, a candy jar have candies type Jolly Rancher and jawbreakers
in ratio 5:13 respectively.
Let the number of Jolly Rancher and jawbreakers be 5k and 13k respectively,
a) When you have 100 Jolly Rancher, then,
5k = 100
k = 20
Hence, number of jawbreaker = 20×13 = 260
b) When the total number of candies in the jar is 720, then,
5k+13k = 720
18k = 720
k = 40
Therefore, number Jolly Rancher and jawbreakers it contains = 40×5 = 200 and 13×40 = 520
Hence, The answers for both the parts are a) 260 and b) 200 Jolly Rancher and 520 jawbreakers.
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Gas mileage is the number of miles you can drive on a a gallon of gasoline.
A test of a new car results in 590 miles on 20 gallons of gas. How far could
you drive on 65 gallons of gas? What is the car's gas mileage?
Answer:Gas mileage is the number of miles you can drive on a gallon of gasoline. A test of a new car results in 600 miles on 20 gallons of gas.
Step-by-step explanation:ur welcome!
What is the rate of change of g(x)=x^3-9x for x=1 to x=6
Answer:
105
Step-by-step explanation:
[tex]g(x)=x^{3}-9x[/tex]
rate of change of g(x) is
[tex]g^{,}(x)=3x^{2} -9[/tex]
for x=1
[tex]g^{'}(1)=3(1)^{2} -9=-6[/tex]
for x=6
[tex]g^{'}(6)=3(6)^{2} -9=99[/tex]
A grocery store normally prices milk at $5.00 per gallon. Due to low supply, the grocery store
has marked up the price to $6.00 per gallon,
Answer:
how many gallons
Step-by-step explanation:
(4.5 x 10 4) divided by (300)
Answer:
0.156
Step-by-step explanation:
4.5 x 10.4 = 48.6 and that divided by 300 give u ur answer.
Hope this helps!
The value of the expression (4.5 x 10^4) divided by (300) is 150.
What is an algebraic expression?"It is an expression which is made up of variables, constants and some mathematical operations."
For given example,
We have been given an expression (4.5 x 10^4) divided by (300)
We need to find the value of given expression.
(4.5 x 10 ^4) divided by (300)
= (4.5 × 10000)/300
= 45000/300
= 150
Therefore, the value of given expression (4.5 x 10^4) divided by (300) is 150.
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Interpret the independent and dependent variables of these two bivariate data collections.
1. A baseball player’s homeruns according to years played
Independent variable is
.
Dependent variable is
.
2. Texting speed by characters per minute according to time in minutes
Independent variable is
.
Dependent variable is
.
Answer:
The dependent variable = Number of homeruns
Independent variable = years played
The Independent variable is Number of characters per minute
Dependent variable is Texting speed
Step-by-step explanation:
The independent variable are the variables which are used to infer or being about changes to the dependent variable by supplying different values of them, they are also called predictor variables. By varying the number of years, a baseball players' number of homeruns' can be predicted in such basis, hence, the
predicted or dependent variable is the number of homeruns'.
Similarly, the Number of characters (independent) an individual is able to type within a particular period of time can be used determine the Texting speed (dependent) of such person.
I'm late I know but this might help someone else looking for the same answer.
The independent variable is- years played
dependent is- home runs
2.
independent- time
dependent- texting speed
Step-by-step explanation:
I got it right.
HELP ASAP PLS ILL GIVE YOU BRAINLIST
Answer:
I think it is 6,4
Step-by-step explanation:
Im not that strong in graphs >.<
Answer:
it’s the first two because it shows a pattern between the x and y
2) The number of textbooks the school bought this year was 25% more than the number
of books bought last school year. This school year we bought 185 textbooks. What
was the original number of textbooks
Answer:
139, or 140. I did the math, but i am not entirely sure
Step-by-step explanation:
Find the value of x.
I give Brainliest!
Question 6 Multiple Choice Worth 1 points)
(01.02 MC)
The table shows the values of two quantities for an astronaut on Earth and Jupiter.
Astronaut's Details
Earth
Jupiter
Quantity A 705.6 units 1,868.4 units
Quantity B 72 units
72 units
Which of the following names the quantity and correctly explains why that represents the amount of matter present in the astronaut?
O Quantity A, because it is proportional to mass
O Quantity A, because it changes with gravitational pull
O Quantity B, because it is the gravitational pull exerted
astronaut
O Quantity B, because it is independent of the astronaut's location in space
Answer:
Quantity A because it changes with gravitational pull.
Explanation:
Mass defines the constitutive matter of an object. It is immutable (does not change). Although it could be converted into energy, the matter is constant.
On the other hand, the weight of an object (gravitational force) depends on the acceleration due to gravity.
That is why an astronaut weighs about three times more on earth than on Mars. The gravitational acceleration on Mars is about one third that on earth.
What is the square root of 10, and 9?
Simplify this expression 6w+4+8w-1
Answer:
14w + 3
Step-by-step explanation:
6w + 4 + 8w -1 (Given)
14w + 3 (combine like terms)
"The Kid Laroi" - Rapper-Songwriter.
Answer:
14w+3
Step-by-step explanation:
6w+4+8w-1
(6w+8w)+(4-1)
14w+3