Answer: Her solution is incorrect. The hypotenuse is 53 units
Step-by-step explanation: The error occurred when she quoted the Pythagorean theorem. She added up both sides and squared them and made the answer equal to the square of the hypotenuse. She was supposed to have squared them first, before adding up.
The Pythagorean (or Pythagoras) theorem states that the sum of the squares of two sides of a right angled triangle equals the square of the hypotenuse of the triangle. That is, in triangle ABC, if the hypotenuse is given as line AC, the Pythagoras theorem states that
AC^2 = AB^2 + BC^2
Where AC is the hypotenuse and AB and BC are the other two sides.
In Nadia’s solution, if the hypotenuse is given as 73, and the other two sides are 28 and 45, then the Pythagorean theorem properly expressed would be as follows;
73^2 = 28^2 + 45^2
5329 = 784 + 2025
5329 ≠ 2809
As we have determined, writing out the expression as
73^2 = (28 + 45)^2 is very incorrect as this is not the Pythagorean theorem and of course, the triangle cannot have 73 as its hypotenuse as we have determined by properly writing out the Pythagorean theorem.
The correct solution is as follows;
AC^2 = AB^2 + BC^2
AC^2 = 28^2 + 45^2
AC^2 = 784 + 2025
AC^2 = 2809
Add the square root sign to both sides of the equation
AC = 53
Therefore, the hypotenuse is 53 units
It would be C, because when you find the length using th pythagreon theorem... you can begin to see the relationship through all of the figures and side lengths... Make sense?
Which number is both a factor and a multiple of 14? A, 1 7 B. 14 C.28
Answer:
Step-by-step explanation:
The multiples of 14
Answer : 14,28,42,56,70,84,98,112,126,140,154,168,182,196,210,224,238,252,266,280,294,308,322,336,350,364,378,392,406,420,434,448,462,476,490,504,518,532,546,560,574,588,602,616,630,644,658,672,686,
Answer:
A 1
Step-by-step explanation:
1, 2, 7, 14 14 28 42 56 70 84 98 112 126 140
plus question on edge please give me brain list please or rate good
Please answer, will mark brainliest
Answer:
4. B 5. C
Step-by-step explanation:
Answer:
B; C
Step-by-step explanation:
The data contains 10 separate values.The only plot with 10 "x"s is the 2nd one, therefore the answer is B.
The only stem-and-leaf plots in the proper format are the last 2. The only one containing "89" as a value is the 3rd one (It was one of the values in the data set). Therefore, it is C.
In a regular deck of cards, calculate the probability that a diamond is drawn given that it is a face
card.
HURRYYYY PLEASEEE
Answer: 3/52
Step-by-step explanation: There are 3 face diamonds in a deck of 52 cards making it a 3/52 chance of pulling one.
Answer: 0.25 or 25%
Step-by-step explanation:
you have to do 3 (the number of diamond face cards) divided by 12 (the total number of face cards) which is 0.25
Which statements are true regarding f(x) = 10 ? Check all that apply.
x+ 5
The domain of f(x) is (-00,-5) U (-5,0).
The range of f(x) is (0, 2) U (2, oo).
The x-intercept is at (-5,0).
The y-intercept is (0, 2).
There is a vertical asymptote at x = -5.
The end behavior is x - -00, f(x) - 0 and x - 00, f(x) - 0.
Answer: A,D,E,F on Edge
Explanation:
yes
The true statements regarding the function f(x)=10/(x+5) are that the domain excludes x=-5, there is a vertical asymptote at x=-5, the y-intercept is at (0,2), and the end behavior is such that as x approaches negative or positive infinity, f(x) approaches 0. There are no x-intercepts, and the range is all real numbers except 0.
Explanation:The function given is f(x) = \frac{10}{x+5}. To analyze the properties of this function, we need to understand its behavior when x approaches certain values and its graph within the given restrictions. Let's check each statement given:
The domain of f(x) is (-∞, -5) U (-5, ∞). This means x can be any real number except -5, where the function would be undefined due to division by zero, indicating there is a vertical asymptote at x = -5.The range of f(x) is all real numbers since as x changes, the value of f(x) can take any real number except 0; there are no other restrictions imposed on f(x) by the function itself.The x-intercept does not occur at (-5,0) because there the function is undefined. Actually, the function cannot have an x-intercept because f(x) is never zero for any real value of x.The y-intercept is (0,2), which can be found by plugging x=0 into the function, yielding f(0) = \frac{10}{0+5} = 2.There is indeed a vertical asymptote at x = -5 since the function is undefined at this point and the values of f(x) grow without bound as x approaches -5.The end behavior suggests that as x approaches negative or positive infinity, f(x) approaches 0. This is because the numerator remains constant, and as the denominator grows larger in magnitude, the overall value of the fraction diminishes towards zero.A spinner is divided into 4 equal parts. 1 part is colored red, 2 parts are colored blue, and 1 part is colored yellow. The spinner is spun 1000 times. Select all of reasonable possible outcomes
The sections on the spinner are used to illustrate probability
The reasonable possible outcome is that the expected outcomes of the red section and the yellow sections are the same
How to determine the possible outcomesThe sections in the spinners are:
Red = 1Blue = 2Yellow = 1Total = 4From the above parameters, the probability of each section is:
P(Red) = 1/4
P(Blue) = 1/2
P(Yellow) = 1/2
When the spinner is spun 1000 times, the expected outcomes are:
Red = 1/4 * 1000 = 250
Blue = 1/2 * 1000 = 500
Yellow = 1/4 * 1000 = 250
From the above calculations, we can determine that the reasonable possible outcome is that the expected outcomes of the red section and the yellow sections are the same
Read more about probabilities at:
https://brainly.com/question/25870256
A bag has 6 RED marbles and 9 Blue marbles in it. What is the ratio probability of pulling a Red marble out of the bag ?
Answer:
6:9
Step-by-step explanation:
URGENT PLEASE HURRY WILL MARK BRAINLIEST PLS GIVE EXPLANATION
The two dot plots below show the heights of some sixth graders and some seventh graders:
Two dot plots are shown one below the other. The title for the top dot plot is Sixth Graders and the title for the bottom plot is Seventh Graders. Below the line for each dot plot is written Height followed by inches in parentheses. There are markings from 52 to 57 on the top line and the bottom line at intervals of one. For the top line there are 2 dots above the first mark, 1 dot above the second mark, 1 dot above the third mark and 2 dots above the fourth mark. For the bottom line, there is 1 dot for the first mark, there is 1 dot above the second mark, there is 1 dot above the third mark, there is 1 dot above the fourth mark and there are two dots above the sixth mark.
The mean absolute deviation (MAD) for the first set of data is 1.2 and the MAD for the second set of data is 1.7. Approximately how many times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders? (Round all values to the tenths place.)
1.2
1.4
2.4
2.8
Answer:
(B)1.4
Step-by-step explanation:
The mean absolute deviation(MAD) of a set of data is the average of the absolute deviations from the mean. It gives us statistics on the variability of the given set of data.
From the given information:
The first set of data represents the height of the sixth graders. The mean absolute deviation (MAD) for their heights is 1.2.The second set of data represents the height of the seventh graders. The mean absolute deviation (MAD) for their heights is 1.7.1.2 and 1.7 are the measures of the variability of the height of the sixth and seventh graders respectively.
To find out approximately how many times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders,
Let the number of times=x
MAD of the 6th graders X x=MAD of the 7th graders
1.2x=1.7
x=1.7/1.2
x=1.42[tex]\approx 1.4[/tex]
Answer:
1.4
Step-by-step explanation:
G(x)=2x-5 h(x)=4x+5 find g(3)-h(3)
Answer:
-16
Step-by-step explanation:
G(x)=2x-5 h(x)=4x+5
g(3)-h(3)
g(3) = 2(3) -5 = 6-5 =1
h(3) = 4(3) +5 = 12 +5 = 17
g(3)-h(3) = 1-17 = -16
Answer:
-16
Step-by-step explanation:
G(x)=2x-5
G(3)=2(3)-5
=6-5
=1
H(x)=4x+5
H(3)=4(3)+5
=12+5
=17
G(3)-H(3)
1-17
=-16
Therefore the final answer is -16
40 POINTS. WILL AMRK BRAINLIEST!!! NEED ASAP
Dave's sister baked 3 dozen pies of which a third contained chocolate, a quarter contained marshmallows, a sixth contained cayenne, and one twelfth contained salted soy nuts. What is the smallest possible number of pies that had none of these ingredients?
Answer:
The answer is 34.75% because:
Step-by-step explanation:
36-(1÷3)-(1÷4)-(1÷6)-(1÷2)=
(PLEASE MARK ME BRAINLIEST!!!)
Answer:
6
Step-by-step explanation:
(1/3) + (1/4) + (1/6) + (1/2)
5/6
At max, ⅚ of the pies contain atleast one of these ingredients
1 - ⅚ = ⅙
Atleast ⅙ of them don't contain any
⅙ × 3 dozen
⅙ × 36
6
a worker uses 450 inches of steel wire to make 300 springs of the same size. At this rate how many inches of steel wire are needed to make 1 spring?
To make 1 spring, 1.5 inches of steel wire are needed.
Explanation:To find out how many inches of steel wire are needed to make 1 spring, we can set up a proportion. We know that the worker uses 450 inches of steel wire to make 300 springs. Let x represent the number of inches of steel wire needed to make 1 spring. The proportion would be:
450 inches/300 springs = x inches/1 spring
To solve for x, we can cross multiply:
450 * 1 = 300 * x
450 = 300x
Dividing both sides by 300, we get:
x = 450/300 = 1.5 inches
Therefore, 1.5 inches of steel wire are needed to make 1 spring.
For the given functions FNG, find the indicated composition.
Answer:
A
Step-by-step explanation:
To find (f ￮ g)(x) substitute x = g(x) into f(x), that is
f(g(x))
= f(2x - 1)
= 3(2x - 1) + 14
= 6x - 3 + 14
= 6x + 11 → A
HELP PLEASE!!! ASAP 12 POINTS
Answer:
c=−3 or c=7
Step-by-step explanation:
Step 1: Cross-multiply.
c/3= 7/c−4
c*(c−4)=(7)*(3)
c2−4c=21
Step 2: Subtract 21 from both sides.
c2−4c−21=21−21
c2−4c−21=0
Step 3: Factor left side of equation.
(c+3)(c−7)=0
Step 4: Set factors equal to 0.
c+3=0 or c−7=0
c=−3 or c=7
A factory makes bottled perfume. Each bottle is in the shape of a triangular prism, as shown below. If the factory is filling 27 such bottles, how much perfume will the factory need (in cubic centimeters)?
Answer:
2,916 cubic centimeters
Step-by-step explanation:
9 x 4 x 6 = 216 Because it is a triangular prism, you'll have to divide it by 2
216/2 = 108 for each
108 x 27 = 2,916 cubic centimeters
All work was done by me, not Google
I honestly have no clue how to do these
Answer:
[tex]-2^{2} -4(1)(5)[/tex]
so the answer would be c.
Step-by-step explanation:
The discriminant is the following equation:
[tex]b^{2} -4ac[/tex]
You just simply plug in the values of the coefficients.
[tex]0=x^{2} -2x+5[/tex]
a = 1 (first terms coefficient)
b = -2 (second terms coefficient)
c = 5 (last terms coefficient)
What is 7 x 10^22 in its expanded form?
Answer:
70,000,000,000,000,000,000,000
Step-by-step explanation:
What transformation was made to ABC?
Answer:
REFLECTION
Step-by-step explanation:
The triangle ABC was reflected over the x-axis to get triangle A'B'C'.
A frozen yogurt shop allows guests to fill a cone shaped cup with frozen yogurt, and customers pay $0.08 per cubic inch. If each cup has a diameter of 6 inches and a height of 5 inches, what would it cost to fill the cone to its full capacity? Use 3.14 for pi.
Answer: Your answer is 3.77
Step-by-step explanation:
Answer:
its actually $11.30
Step-by-step explanation:
1. 9 x 3.14(pi) x 5
2. 141.3x 0.08
3. 11.304
4. if im incorrect im not sorry since its not gonna help you
6.25 in.
Apply
9. Poppy is using wire to make metal wall hangings
radius shown for her friends. Her older sister is
hangings with a diameter that is 12 inches longer
How much more wire did her sister use per
Poppy? Use 3.14 for it. Write your answer as a
the nearest hundredth.
all hangings that have the
sister is making her wall
thes longer than Poppy's.
per wall hanging than
er as a decimal rounded to
To determine how much more wire the sister used, we calculate the difference in circumference based on the increased diameter of 12 inches using the formula C = πd. The extra wire length is 3.14 • 12, which is the difference in circumference between the sister's and Poppy's wall hangings.
Explanation:The student's question focuses on comparing the length of wire used by Poppy and her sister for making metal wall hangings. Poppy's wall hangings have an unspecified radius, while her sister's hangings have a diameter that is 12 inches longer than Poppy's. The amount of wire corresponds to the circumference of the wall hangings, which can be found by using the diameter to calculate the circumference with the formula C = πd, where C is the circumference and d is the diameter.
To find out how much more wire the sister used per wall hanging than Poppy, we first determine the diameter of Poppy's hangings. Let's denote it as d, then her sister's hangings' diameter would be d + 12 inches. Using 3.14 for π, the difference in wire used would be 3.14 • (d + 12) - 3.14 • d, which simplifies to 3.14 • 12. After calculating and rounding to the nearest hundredth, we get the answer.
Mr. Viviano would like to report to the principal the smaller measure of center between the mean and the median for the distribution of test scores of his AP Calculus class. The test scores are as follows: 60, 65, 70, 75, 80, 80, 85, 85, 90, 95, 100. What number will he report?
Step-by-step explanation:
Given data,
Test scores =60, 65, 70, 75, 80, 80, 85, 85, 90, 95, 100
Mean= (60+65+70+75+80+80+80+85+85+90+95+100)/11
= 885/11
= 80.45
Median= 80
5. Mrs. Parker is providing lunch at her next staff meeting. She will pay $15.75 for 3 people
to eat lunch. At this rate, how much will it cost Mrs. Parker to feed 40 people?
Plz answer i will give brainiest to the first person who answers this correctly Plzzz helppppp!!!!!
Answer:
The correct answer is D
Step-by-step explanation:
If you find the length of the two adjacent sides, it will determine whether or not the figure is a square or not.
Good luck!
Exponential function question
Answer:
The correct answer is A.
In A, the set of ordered pairs can be generated by the exponential function f(x) = 3^x.
HELP ILL GIVE 15 POINTS!!!!!!!!!!!!
Answer:
1 i think
Step-by-step explanation:
SHOW FULL WORK FOR BRAINLY. make the answer actually make sense
Answer:
B, 7 units.
Step-by-step explanation:
Since points K and L have the same x value, their only difference in location is with their y coordinate. The difference between the first y coordinate (5) and the second y coordinate (-2) is 5-(-2)=7 units, which is the length of KL. Hope this helps!
Answer:
7
Step-by-step explanation:
To solve for this equation, we are going to use the distance formula, or what is known as:
[tex]\sqrt{(x_{2} -x_{1})^{2}+ (y_{2} -y_{1})^{2} } \\[/tex]
Solving for distance is easier to do with perfect squares, in which this one is. If you're ever wondering which way to arrange the x2-x1 it doesn't matter how you put it, just be sure to put both x and y in the same order.
[tex]\sqrt{(x_{2} -x_{1})^{2}+ (y_{2} -y_{1})^{2} } \\K(4,5)\\L(4, -2)\\\sqrt{(4 -4)^{2}+ (-2 -5)^{2} }\\\sqrt{(0)^{2}+ (-7)^{2} }\\\sqrt{(0)+ (49) }\\\sqrt{49} = 7[/tex]
I am happy to help with any other questions you might have in the future and I will continue to work hard in trying to provide the best answers I can :)
Find the coordinates of point B on AC such that AB is 1/4 of AC
will give brainliest answers to the first who answers correctly
Find the vertical and horizontal difference between the two given points:
Horizontal is the Y values: 4 - -4 = 4+4 = 8
Vertical is the X values 7 - -1 = 7+1 = 8
Multiply the changes by the ratio:
Now copy the dot on A 2 places to the left and down 2 places and the dot lands on point (5,2)
8 * 1/4 = 2
AC in the horizontal and vertical direction is 8 units. AB in the horizontal and vertical direction is 1/4 of 8 which is 2 units. To find the coordinates of B on the graph, move 2 units to the left and 2 units down. We lie on the point (5, 2).
Best of Luck!
PLS ANSWER ONLY IF YOU KNOW IT Sea World has 9 aquariums with small fish in them and the number of fish in each tank are shown below:
45, 10, 48, 19, 36, 25, 63, 14, 39
What is the mean of the number of fish?
Question 2 options:
40
33
53
36
Answer:
33
Step-by-step explanation:
add all the numbers together and divide them by the number of values given
Answer:
33, 33.2 to be precise
Step-by-step explanation:
Mean is the average of a set of numbers, so just add all of them and divide by the amount of numbers (9)
#7: At the gym on Saturday, Reese ran 5 miles on the treadmill and then
completed 1 mile on the elliptical machine, and burned 725 calories. On Sunday
she ran 3 miles on the treadmill and completed 1 mile on the elliptical, and burned
505 calories. Write and solve a linear system to find the number of calories Reese
burns on each machine.
Treadmill:
Elliptical:
Answer: The equations are 5t + e = 725 and 3t + e = 505
Step-by-step explanation: We shall start by assigning letters to the unknown variables, hence we shall call the treadmill t, and we shall call the elliptical machine e.
If on Saturday, she ran 5 miles on the treadmill and 1 mile on the elliptical machine and she burned 725 calories in the process, we can express this as
5t + e = 725 ------(1)
Also on Sunday, she ran 3 miles on the treadmill and 1 mile on the elliptical machine and burned 505 calories in the process, that too can be expressed as
3t + e = 505 ------(2)
We now have a pair of simultaneous equations which an be solved by the elimination method (reason being that on of the unknowns have the same coefficient, that is variable e).
Subtract equation (2) from equation (1) and you arrive at;
2t = 220
Divide both sides of the equation by 2
t = 110
Having calculated the value of t, substitute for the value of t into equation (1)
5t + e = 725
5(110) + e = 725
550 + e = 725
Subtract 550 from both sides of the equation
e = 175
The above calculations shows that the calories burned on each gym equipment are;
Treadmill = 110 per hour
Elliptical = 175 per hour
Ben sharpened 5 pencils he has 8 more unsharpened pencils than sharpened. How many unsharpened pencils does Ben have?
Solve: 2x > 18
x < 9
x > 9
x > 36
x < 36
Answer:
the answer is X > 9
Step-by-step explanation:
you divide move the 2 to the other side and divide by 18
Factor by using GCF:
10x2 + 15x-5
Answer: The answer is : 5 ( 2 x^ 2 + 3 x − 1 ) (Friend me )
Step-by-step explanation: You know that 5 can go into 10, 5, and 15 evenly. Therefore, 5 must be the GCF. So, you factor five and basically rewrite the equation to fit the number 5.