Find the value of X in the isosceles triangle shown below. How do I find X?
Answers
a²+b²=c² → 3²+b²=6.708204² (√45)
9 +b² =45.000001
-9 ↓ ↓-9
---------------------------
zero pair √b² = √36.000001
b = 6
One side of the isosceles the x is 6, but we need the whole part so for last you just multiply 6×2= 12
The answer is...... X=12
Related Questions
I’m not sure this I’m so confused in algebra
Answers
x + 4 = 3x - 5
2x = 9
x = 9/2
-(x+4) = 3x - 5
-x -4 = 3x - 5
4x = 1
x = 1/4
answer
x = 1/4
x = 9/2
Find an equivalent expression
Answers
Answer: 625
would be
Answer: 625
Solution:
To convert to standard form,(-5)^4 is equal to (-5)(-5)(-5)(-5)
Since the exponent is an even number, we can conclude that it will give the answer of a positive number. so if you multiply it all,it would give your the answer 625.
What is the m∠ACB? 10° 50° 90° 180°
Answers
Given that the triangle is a right triangle, the sum of angles will be:
(4x)°+(7x-20)°+90=180
simplifying and solving for x we get:
4x+7x-20+90=180
11x=180+20-90
11x=110
dividing both sides by 11 we get:
(11x)/11=110/11
this gives us
x=10°
Thus substituting the value of x in:
∠ACB=(7x-20)°
=(7*10-20)
=70-20
=50°
Answer: 50°
Answer:
50°
Step-by-step explanation:
90 + 4x+ 7x - 20(+20) = 180 + 20
4x + 7x = 200 - 90
4x + 7x = 110
11x/11 = 110/11
X = 10
m∠ACB = 7x - 20 = 7(10) - 20 = 50
What best describes the expression y over 3?
A. 3 more than some number
B. Some number times 3
C. Some number divided by 3
D. 3 less than some number
Answers
find by completing the square
Answers
Use these functions to answer the questions.
f(x)=(x+3)2−1
g(x)=−2x2+8x+3
h(t)=−16t2+28t
Part A What are the x- and y-intercepts of the graph of the function f(x)? Identify the coordinates of any maxima or minima of the function. Explain your answers. Part B Write the function g(x) in the form y=a(x−h)2+k . Write the equation for the line of symmetry for the graph of g(x). Show all your work and explain your answer. Part C The function h(t) gives the approximate height, in feet, of a dolphin's jump out of water, where t represents the time,
Answers
We have [tex]f\left(x\right)=\left(x+3\right)^2-1[/tex]. To solve for the x-intercept, we set f(x) equal to 0. That is
[tex]\left(x+3\right)^2-1=0[/tex]
[tex]\left(x+3\right)^2=1[/tex]
Take the square root of both sides,
[tex]x+3=1[/tex]
[tex]x=-2[/tex]
The x-intercept is (-2,0).
To solve for the y-intercept, we set x=0. That is
[tex]y=\left(0+3\right)^2-1=3^2-1=9-1=8[/tex]
The y-intercept is (0, 8)
The coordinates of the optimum point are actually the vertex which can be easily seen from the vertex form equation given above. The minimum point is (-3, -1).
Part B.
We have [tex]g\left(x\right)=-2x^2+8x+3[/tex].
Factor out -2
[tex]=-2\left(x^2-4x\right)+3[/tex]
Complete the square
[tex]=-2\left(x^2-4x+4\right)+3-2\left(4\right)[/tex]
Simplify
[tex]g(x)=-2\left(x-2\right)^2-5[/tex]
Part C
We have [tex]h\left(t\right)=-16t^2+28t[/tex].
The maximum height is 12.25 feet after 0.875 seconds from the time of the jump. The dolphin will be back in the water after 1.75 seconds. The graph of the jump is shown in the photo.
How is the graph of y= 1/3x related to its parent function y=1/x
Answers
When you multiply the y coordinate of the original function f (x) by a constant k:
If 0 <k <1, the function contracts on the y axis
We have then:
y = k * (1 / x)
Where,
k = 1/3
y = (1/3) * (1 / x)
y = 1/3x
Answer:
the function contracts on the y axis
for the diagram below which equation is the correct use of the distance formula
the last one D is
D= √(11-6)^2 + (5-y2)^2
Answers
Answer: The correct equation is,
[tex]6.71=\sqrt{ (11-5)^2+(y_2-6)^2}[/tex]
Step-by-step explanation:
If [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the endpoints of a line segment,
Then by the distance formula,
The length of the line segment is,
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Here, (5,6) and (11, [tex]y_2[/tex] ) are the endpoint of the line segment which has the length 6.71,
Thus, d = 6.71, [tex]x_1=5[/tex] [tex]y_1=6[/tex], [tex]x_2=11[/tex]
[tex]\implies 6.71 = \sqrt{ (11-5)^2+(y_2-6)^2[/tex]
Which is the required equation.
which expression is equivalent to 2(-3x + 5)?
Answers
expand by using distributive property
= -6x + 10
answer
-6x + 10 is equivalent to 2(-3x + 5)
Answer:
10 - 6x
as 2 x 5= 10
and 2 x 3 = 6
therefore ans:
10 - 6x
Step-by-step explanation:
Kelly has 236 feet of fence to use to enclose a rectangular space for her dog. She wants the width to be 23 feet. Draw a rectangle that could be the space for Kelly's dog. Label the length and the width.
Answers
length=?
p= 2l+2w
236=2l+2(23)
236=2l+46
190=2l
l= 95ft
Final answer:
To create the space for Kelly's dog, a rectangle with a length of 118 feet and a width of 23 feet should be drawn.
Explanation:
To draw a rectangle that could be the space for Kelly's dog, we need to consider the given information. Kelly has 236 feet of fence to use, and she wants the width to be 23 feet.
Since the opposite sides of a rectangle are equal in length, we can divide the total amount of fence by 2 to determine the length of each side. 236 feet / 2 = 118 feet.
So, the rectangle that could be the space for Kelly's dog would have a length of 118 feet and a width of 23 feet.
First, I would like to know what is means when someone asks you to find the Means-To-Mad Ratio. I do not know what a Means-To-Mad Ratio is.
Second, can someone please answer this problem?
1. {15, 16, 17, 17, 17, 17, 18, 19}
2. {12, 13, 13, 14, 14, 14, 16, 16}
Calculate the means-to-MAD ratio for the two number sentences above.
Thank you.
Answers
so you need to calculate the mean ( average) and then calculate the MAD ratio
see attached picture for how to calculate the MAD:
PLEASE HELP ASAP!
A probability close to _ indicates a chance event is most likely to occur.
A. 0
B. 1
C. 5
D. 10
E. 1000
Answers
The probability of any event cannot be greater than 1.
The radius of the earth's orbit is 45,000,000 meters. What is the number in scientific notation?
A) 4.5 x 10-7
B) 4.5 x 107
C) 45 x 10-6
D) 45 x 106
Answers
A quality control officer randomly checking weights of pumpkin seed bags being filled by an automatic filling machine. Each bag is advertised as weighing 400 grams. A bag must weigh within 2.1 grams in order to be accepted. What is the range of rejected bag, x, for the bags of pumpkin seeds?
A. 397.9
B. x < 397.9 and x > 402.1
C. x < 400.0 and x> 402.1
D. 400.0 > x < 402.1
Answers
You calculate this by subtracting and adding 5.3 to 500
Option: B is the correct answer.
B. x < 397.9 and x > 402.1
Step-by-step explanation:It is given that:
Each bag is advertised as weighing 400 grams.
Also, a bag must weigh within 2.1 grams in order to be accepted.
Hence, for the bag being accepted the weight must be no less than 2.1 gram from 400 gram and should be no more than 2.1 gram from 400 grams.
i.e. the weight of the bag must be such that:
400-2.1≤ x ≤ 400+2.1
i.e.
397.9 ≤ x ≤ 402.1
Hence, if the weight of the bag is less than 397.9 grams or is more than 402.1 grams then the bag will be rejected.
i.e. The range for the bag being rejected is: x<397.9 grams and x>402.1 grams.
A video game was $38. This weekend the game will be marked 13 percent off. How much is the game this weekend?
Answers
Cost of the game after discount = $38 - $4.94 = $33.06
Answer: $33.06
The video game was originally $38. This weekend it is 13% off. After applying this discount, the game will cost $33.06.
Explanation:The subject of your question lies in the realm of Mathematics, specifically focusing on a practical application: calculating a discount. In this case, the video game was originally $38 and this weekend, there is a discount of 13%. Since the discount is a percentage off of the original price, you need to multiply $38 by 13% (or 0.13, when presented as a decimal).This operation gives us: $38 * 0.13 = $4.94.This means the discount is $4.94. To find out how much the video game costs after the discount has been applied, you need to subtract this amount from the original price of the game. Therefore, the price of the game this weekend will be: $38 - $4.94 = $33.06.
Learn more about Calculating Discounts here:https://brainly.com/question/32761587
#SPJ12
a basketball court is a rectangle with a perimeter of 1040 feet. The length is 200 feet more than the width. What is the width and length of the basketball court?
Answers
then you need to divide that by 4 to get 160 leaving you with the width, to get the length you have to add 200 to the width meaning the length is 360
length = 360
width = 160
[tex]x + x + x + 200 + x + 200 = 1040 \\ 4x + 400 = 1040 \\ 4x = 640 \\ x = 160[/tex]
Length = 160 + 200 = 360 feet
Answer :
Width = 160 feet,
Length = 360 feet
Hope this helps. - M
Are these two triangles similar? How can you tell?
Answers
The minimum requirement for similarity is that 2 angles in one triangle are equal to 2 angles in another triangle. If the triangles are congruent it is a pure accident.
Which is the graph of the function f(x) =1/2x^2-6
Answers
how many solutions does this system of equations have?
y= -3x + 7
y= -3x -6
choices
a. infinitely many
b. 2
c. 1
d. 0
Answers
-3x + 7 = -3x - 6
Now cancel equal terms on both sides of the equation.
7 = -6
This tells us that the statement is false for any value of x and y,, so our answer is (x,y) ∈ ∅,, or no solution (option D).
Let me know if you have any further questions.
:)
Jennie says the experimental probability that a 7th grade student reads at least 100 pages per week is 16/125. What is her error and the correct experimental probability?
HERE IS THE CHART
| pages | 6th | 7th | 8th| {Grades}
| 75 pages | 24 | 18 | 22 |
| 100 pages | 22 | 32 | 24 |
| 150 pages | 30 | 53 | 25 |
Answers
32 seventh grade students read 100 pages per week. 53 students read 150 pages per week. This is out of 18+32+53=103 seventh grade students. This gives us 32+53=85/103.
Jennie incorrectly calculated the experimental probability of a 7th grader reading at least 100 pages per week. The correct calculation is the sum of 7th graders who read 100 and 150 pages, divided by the total number of 7th graders, resulting in an experimental probability of 85/103.
Jennie's error lies in calculating the experimental probability that a 7th grade student reads at least 100 pages per week incorrectly. To find the correct experimental probability, we need to add the number of 7th graders reading 100 pages and those reading 150 pages, then divide by the total number of 7th graders. According to the chart, 32 read 100 pages and 53 read 150 pages. The total number of 7th graders is the sum of students reading 75, 100, and 150 pages, which is 18 + 32 + 53 = 103. So, the correct experimental probability is (32 + 53) / 103 = 85 / 103.
Which it true about modeling a solution to an addition problem on a vertical number line?
A. When adding a negative number, you move down
B. When adding a positive number, you move down
C. Locating the sum is not necessary.
D. Locating the sum is the first step
Answers
Answer:
A. When adding a negative number, you move downStep-by-step explanation:
Actually, according to transformation of functions, there's two types of transformation, those that only involve translation, and those that change the dimension of the function.
In this case, modelling a solution to an addition problem, we know that adding a negative number, the function will move downs, because in that case we will be transformation or "changing" the y-variable, that's why it will move vertically.
Therefore, the right answer is A.
A glass of water was one eighth of a liter. How many glasses would it take to fill up a 3 liter jug
Answers
Final answer:
It would take 24 glasses to fill up a 3 liter jug.
Explanation:
To fill up a 3 liter jug, we need to determine how many glasses of water, each measuring 1/8 of a liter, would be required.
First, we need to find the number of glasses in 1 liter. Since 1 liter is equivalent to 8 glasses (1/8 * 8 = 1), we can divide 3 liters by 1/8 liter to find the number of glasses for 3 liters.
3 liters is equal to 3 / (1/8) = 3 * 8/1 = 24 glasses. Therefore, it would take 24 glasses to fill up a 3 liter jug.
Robin tosses two number cubes 100 times and get a pair of 3s 18 times. What is the probability that she will roll a pair of 3s on her next toss?
Answers
-
18/100
Then you can reduce it to:
-
9/50
Or are a percent:
-
18%
-
So the probability of her rolling 3s would be 18%
At Northwest Highschool, there are 1472 students in the junior class and 1012 students in the senior class. To let the juniors work with more experienced students, the teachers want to assign the students to committees with the same same number of juniors in each committee and the same number of seniors in each committee. (For example, there might be 2 juniors and 3 seniors in every committee). What is the largest number of committees that can be formed?
Answers
Which answer describes the transformation of f(x)=x2−1 to g(x)=(x−1)2−1 ?
a vertical translation 1 unit up
a vertical translation 1 unit down
a horizontal translation 1 unit to the right
a horizontal translation 1 unit to the left
Answers
[tex]f(x)=x^2-1\ \ \ vertex (0; -1)\\\\g(x)=(x-1)^2-1\ \ \ vertex(1;-1)[/tex]
Answer: a horizontal translation 1 unit right.
The mean of 4 numbers is 22. What would the new mean be if the number 18 is added to the data set?
A. 17.2
B. 40
C. 21.2
D. 26.5
Answers
Find the distance between -3 and 4.
A) -12
B) -7
C) -1
D) 7
Answers
I hope this helps.
Answer:
i just did it its positive 7
Step-by-step explanation:
The table shows the sports interests of 75 students.
Sport
Football
Basketball
Swimming
Soccer
Cross Country
Number of Students
24
19
12
15
5
What is the probability that one student likes either swimming or soccer?
a. 0.36
c. 0.34
b. 0.27
d. 0.55
Answers
Answer:
A: 0.36
Step-by-step explanation:
Add all of the numbers up = 75
Add both swimming and soccer up = 27
divide 27 by 75 = 0.36
Which set of numbers represents the lengths of the sides of a right triangle?
a. 5,10,15
b. 13,35,37
c. 9,40,41
d. 6,9,10
Answers
a) 5² + 10² = 15²
25 + 100 = 225 *FALSE*
b) 13² + 35² = 37²
169 + 1225 = 1369 *FALSE*
c) 9² + 40² = 41²
81 + 1600 = 1681 *TRUE*
d) 6² + 9² = 10²
36 + 81 = 100 *FALSE*
The answer is C) 9, 40, 41.
as to fulfill the condition of right angle triangle , the sum of the squares of two sides should be equal to the square of third side
9²+40²= 1681
41² = 1681
Hope it helps !! :)
Part a) Classify the figure
Part b) Name the vertices, edges, and bases
Answers
b) Vertices: A, B, C, D, E
• Edges: AE, BE, CE, DE, AB, BC, CD, AD
• Bases: ABCD