What is the length of side EF in the triangle? Please give a step by step explanation, I'm having lots of trouble finding the solution. Thank you!
Answers
Answer:
EF = 8.8 cm
Step-by-step explanation:
In the given right angled ΔDEF, DE is the hypotenuse while EF and DF are adjacent sides. So that applying the Pythagoras theorem, we have;
[tex]/hyp/^{2}[/tex] = [tex]/adj1/^{2}[/tex] + [tex]/adj2/^{2}[/tex]
[tex]/DE/^{2}[/tex] = [tex]/EF/^{2}[/tex] + [tex]/DF/^{2}[/tex]
[tex]/16.2/^{2}[/tex] = [tex]/EF/^{2}[/tex] + [tex]/13.6/^{2}[/tex]
262.44 = [tex]/EF/^{2}[/tex] + 184.96
[tex]/EF/^{2}[/tex] = 262.44 - 184.96
= 77.48
EF = [tex]\sqrt{77.48}[/tex]
= 8.8023
EF = 8.8 cm
The length of side EF is 8.8 cm.
Related Questions
What is the rate of change And initial value for the linear relationship that includes the points shown in the table
Answers
Answer:
Multiply them and then add them altogether
so
Step-by-step explanation:
2x3=6
4x5=20
6x7=42
8x9=72
6+20+42+72= 140
6+20=26
26+42=68
68+72= 140
HURRY THIS IS MY LAST THING FOR THIS ASSIGNMENT. Maria is using a coordinate plane with the axes labeled only with integers. She says that the point (−0.5, 2) cannot be plotted because halves are not numbered on the x-axis. Write a note to Maria about her misunderstanding and explain how to plot the point.
Answers
Answer: You can have halves of points, Just because I have 0 units and 1 units doesn't mean that I can't put a point in the middle of the two. You could put a point in the middle of a unit for 0 - 1 it would be 0.5. You would place it in the middle of the unit
Step-by-step explanation:
What is the slope of the line that contains these points? x -4 -3 -2 -1 y 2 5 8 11
Answers
Answer:
21 because I serch it up I believe
Maria is making cookies that require 4/3 cups of flour. She has 1 2/3 cups of flour. How much sugar will she have left after making the cookies?
Answers
Answer:
1/3
Step-by-step explanation:
4/3=1 1/3
1 2/3 - 1 1/3= 1/3
Hope this helps!
Have no idea how to answer this, please help :(
Answers
Answer:
Step-by-step explanation:
a) perimeter = 8x + 3 + 5 + 7x + 4
b) perimeter = 15x + 12
need help asap please
Answers
Answer:
y=3/4x+1
Step-by-step explanation:
If you rearrange the given equation to slope intercept form, you'll find the slope to be -4/3. If a line is perpendicular to another it'll have the opposite reciprocal for a slope, meaning the new line's slope would be 3/4. If you plug 3/4 and the given point's x and y value into slope intercept form you'll find the b value or y intercept to be 1. Since you now have the slope and the y intercept you can determine the equation to be y=3/4x+1. Hope this helps!
BRAINLIST TO WHOEVER CAN HELP ME
Demonstrate that the commutative property of addition is valid by solving for the sum of 5/6 and 8/9.
Answers
PLEASE NEED HELP ASAP TYTY I WILL BE GIVING THANKS!
Answers
Answer:
B. 112°
Step-by-step explanation:
4x -4 = (3x+4) + (2x-44)
4x -4 = 5x - 40
5x - 4x = -4 + 40
x = 36
∠BCA = 3 * 36 + 4 = 112
I need number 7 and 8 answered
Answers
A little girl kicks a soccer ball. It goes 10 feet and comes back to her. How is this possible?
Answers
Answer:
She kicked the ball upwards.
Step-by-step explanation:
:)
Answer:
She kicked the ball up. Thanks for 50 points. :)
Step-by-step explanation:
The pizza shop down the street offers a special of a large pizza with 3 toppings. The choices of toppings
are pepperoni, sausage, ham, pineapple, cheese, onions, green peppers, hot peppers, mushrooms, and
anchovies.
How many ways can you arrange 3 toppings out of 10 toppings on a pizza?
Answers
Answer:
120 ways
Step-by-step explanation:
To solve this question, we would be using the law of combination.
In combination, we say that
nCr = n! / (n - r)! r!, where both r and n are integers.
Now, referring to question, we are asked how many ways we can arrange 3 toppings out of 10. This means we're looking for 10C3. Applying the earlier laid out formula, we have
10C3 = 10! / (10 - 3)! 3!
10C3 = 10! / 7! 3!
10C3 = 3628800 / 5040 * 6
10C3 = 3628800 / 30240
10C3 = 120
Therefore, the toppings can be arranged in 120 ways.
Leave a like if it helped you, please
The following graph shows a proportional relationship.What is the constant of proportionality between y and x in the graph?
Constant Of Proportionality = ________
Answers
Answer:
Step-by-step explanation:
y=kx
(5,1)
1=k*5
1/5=k*5/5
1/5=k
The constant of proportionality between y and x in this graph is
1/5
a) This problem involves 8-digit binary strings such as 10011011 or
00001010.
i How many such strings are there?
ii. How many such strings end in 0?
iii. How many such strings have l's for their second and fourth digits?
iv. How many such strings have l's for their second or fourth digits?
b) Find how many 9-digit numbers can be made from the digits 1, 2, 3, 4, 5, 6,
7, 8, 9 if repetition is not allowed and all the odd digits occur first (on the
left) followed by all the even digits.
c) How many permutations of the letters A, B, C, D, E, F, G are there in which
the three letters ABC appear consecutively, in alphabetical order?
Answers
Answer:
a)
i) With an eight digit binary number, there are 2⁸, or 256 possible combinations.
ii) Each digit is set to 1 or 0 for exactly half of all combinations. This means that half of all strings, or 256 / 2 = 128 strings end with a zero.
iii) 3/4, or 128 + 64 = 192 of the combinations have a 1 for either the second or fourth digit. If you consider:
Half of all digits will have the second bit set to 1
Half of all digits will have the fourth bit set to 1
Half of those will overlap
Then that's half the digits, plus half the digits, minus half of half the digits. 1/2 + 1/2 - 1/4 = 3/4
iv) This is a duplicate of iii, so again, 192
b) If we're allowed to repeat the usage of the digits, then answer would be the number of values available to the power of the number of digits used. We're allowed six distinct digits, so the total combination of 9 digit numbers would be 6⁹, or 10077696
c) In this case we can look at it simply as permutations of the set {"ABC", "D", "E", "F"}, which gives us 4! which equals 24
What is the distance between the points (-1 , -13) and (-1 , 21) in the coordinate plane?
Answers
Answer:
[tex]\displaystyle d = 34[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
CoordinatesAlgebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-1, -13)
Point (-1, 21)
Step 2: Find distance d
Substitute in points [DF]: [tex]\displaystyle d = \sqrt{(-1+1)^2+(21+13)^2}[/tex](Parenthesis) Add: [tex]\displaystyle d = \sqrt{(0)^2+(34)^2}[/tex][√Radical] Simplify: [tex]\displaystyle d = \sqrt{(34)^2}[/tex][√Radical] Evaluate: [tex]\displaystyle d = 34[/tex]10. The Johnson family purchased a new television that had a 62 inch diagonal. The height of the television was 30 inches. Approximately how wide is the new television? show work
Answers
Answer:
Width = 54.3 inches
Step-by-step explanation:
We solve this question using the Pythagoras Theorem
Width² + Height² = Diagonal²
From the above question
Width= ??
Height = 30 inches
Diagonal = 62 inches
Width² + 30² = 62²
Width² = 62² - 30²
Width = √62² - 30²
Width =✓2944
Width = 54.258639865 inches
Approximately
Width = 54.3 inches
Hence, the new television was 54.3 inches wide.
Joshua finished the mile race in 22.7 minutes. Blake finished the race 8 3/10 minutes sooner than Joshua finished it. How many minutes did it take Blake to finish the race?
Answers
Answer:
31 mins
Step-by-step explanation:
22.7+8 3/10=31 mins
Find the value of x.
B
92
A
1019
68
D
X=
Answers
Answer:
Step-by-step explanation:
how many 1/3's are in 3
Answers
Answer:
9
Step-by-step explanation:
1/3 times9=3
A park is rectangular with a length of 2/3 miles. If the area of the park is 3/9 square miles, what is its width? Input your answer as a fraction.
Answers
Answer:
6/9 miles
Step-by-step explanation:
A line passes through the point (-8,-5) and has a slope of 3/4. Write an equation in slope intercept form for this line.
Answers
Answer:
y = ¾x + 1
Step-by-step explanation:
Point-slope equation for line of slope ¾ that passes through (-8,-5):
y+5 = ¾(x+8)
Put into slope-intercept form:
y = ¾(x+8) - 5 = ¾x + 6 - 5 = ¾x + 1
decide whether each function is linear or nonlinear from its graph
Answers
Round 4.24 to the nearest tenth.
4
4.3
4.2
5
Answers
Answer:
4.2
Step-by-step explanation:
Answer:
4.2
Step-by-step explanation:
........................
- 5/6e (the fraction) - 2/3e (the fraction)=-24
Answers
Answer:
I believe this is the correct answer. e = 16
Solve 3x − 5y = 17
9x − 15y = −4
Answers
Answer:
3x - 5y = 17
3(9) - 5(2) = 17
27 - 10 = 17
x = 9
y = 2
---------------------
9x - 15y = -4
I believe this equation has no proper solution. Every "solution" I have found ends with repeating decimals & fractions.
Your high school freshman class consists of 760 students. In recent years, only 4 out of 7 students actually graduated in four years. Approximately how many of your classmates are expected to graduate in four years?
a.
190 students
b.
760 students
c.
434 students
d.
1330 students
Answers
I am super confused
.....................
Answers
Answer:
B is the answer
Step-by-step explanation:
Explanation :
For 15 fresh apples, there are 3 that is not. Therefore, you add 5 to the bottom ratio and 1 to the top ratio until you reach something similar to the last graph. Hope that makes sense?
For questions 1 – 6, find the area of the circle to the nearest hundredth.
Any help appriciated!
Answers
Step-by-step explanation:
The area of a circle is given by :
A = πr²
r is the radius of the circle
(4) Diameter = 22 cm
Since, radius = diameter/2
r = 11 cm
Now, area of the circle,
[tex]A=\pi \times (11)^2\\\\A=380.13\ cm^2[/tex]
(5) Diameter = 30 cm
Since, radius = diameter/2
r = 15 cm
Now, area of the circle,
[tex]A=\pi \times (15)^2\\\\A=706.85\ cm^2[/tex]
(6) Diameter = 4cm
Since, radius = diameter/2
r = 2 cm
Now, area of the circle,
[tex]A=\pi \times (2)^2\\\\A=12.56\ cm^2[/tex]
So, the area of circles 4,5 and 6 are 380.13², 706.85² and 12.56² respectively.
What is the GCF of 81 and 180?
Answers
Answer:
9
Step-by-step explanation:
SOMEONE PLEASE HELP ME
Geometry
Lesson 1.1 Practice
Answers
Answer:
ok
Step-by-step explanation:
Answer:
You just need to substitute the variables. Example, problem 9; N=9 and q=10, 9×10? You got your answer.
Evaluate the expression.
131 +-5
Answers
To make it less confusing it’s just 131-5
Answer:
126
Step-by-step explanation:
131 + - 5 can either be;
131 + 5 = 136
131 - 5 = 126
The question is probably asking what is 131 plus negative 5, hence the correct equation is; 131 - 5, and the correct answer is 126.