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
Out of 498 applicants for a job, 187 have over 10 years of experience and 127 have over 10 years of experience and have a graduate degree. Step 1 of 2 : What is the probability that a randomly chosen applicant has a graduate degree, given that they have over 10 years of experience
Answers
Answer:
the probability that randomly selected applicants over 10 years of experience is 0.6791
Step-by-step explanation:
The computation of the probability that randomly selected applicants over 10 years of experience is as follows:
Total would be
= 187 have 10 + years experience
Now
P(graduate | 10+) = (graduate and 10+ years experience) ÷ (10 + years of experience)
= 127 ÷ 187
= 0.6791
Hence, the probability that randomly selected applicants over 10 years of experience is 0.6791
The area of a square field is 4,900 square meters. How long is one side
of the field?
O 70 meters
O 140 meters
O 560 meters
O 1225 meters
Answers
Answer:
1225
Step-by-step explanation:
divide by 4 because a square has 4 sides
If you multiply a number by 3 and then subtract 5, you will get 40. What is the number?
Answers
Answer:
15
Step-by-step explanation:
Solve the problem backwards and it gives you the answer. Hope this helps
neeed helppp pleasseeee
Answers
which of the followiing units the Metric System Identify 5 units
Answers
ANSWER:
MEASURE OF BASIC SI UNIT
Distance meter
volume(capacity) liter
mass(weight) gram
time. seconds
Temperature. Degree (Celsius)
BONUS QUESTION
What is the "product" of 20 and 5? *
92.37 ______ 9.237 * (>, , <, =)
The fraction 2/3 is equivalent to 6/9. *
Name an example of an IMPROPER fraction. *
Guys pls i beg i would HIGHLY APPRECIATE IF YOU ANSWER ALL OF ThEM PlEaSe :(
Answers
Answer:
Here you go
Step-by-step explanation:
1. 100
2. >
3. true
4. [tex]\frac{7}{3}[/tex]
Could someone pls help me
Answers
Answer: Ik an easier way to answer it without waiting for someone to answer it for you. So all you have to do is search up the question for each expression and you'll find it. I remember doing this yesterday for nearly that exact worksheet but i forget the answers and cant go back so im just telling you how to find the answers your welcome
Step-by-step explanation:
The variables y and x have a proportional relationship, and y = 9 when x = 2. What is the value of y when x = 3? Enter your answer as a decimal in the box.
Answers
9/2 = y/3.....9 to 2 = y to 3
cross multiply
(2)(y) = (9)(3)
2y = 27
y = 27/2
y = 13.5 <== so when x = 3, y = 13.5
Please help.. Please. Is this a positive trend or negative trend or no trend
Answers
Answer:
it's a no trend cause its literally nothing but dots
r
__ = 1.5
14
what does r equal
Answers
Answer:
answer is r=21
Step-by-step explanation:
multiply 1.5 with 14
When is subtraction always the first operation done in an expression? a. When it is the first operation in an expression, from left to right. b. When it follows addition in an expression. c. When it is in parentheses in an expression. d.Never. 1.
Answers
Answer:
Naruto usamaki is the greatest hokagey in the leaf village
Step-by-step explanation:
I took the test on edge
What is 6% of 15? Use a fraction to solve
Answers
Answer:
0.9
Step-by-step explanation:
can't really Explain, its simple mathamatics 6% of 15 = 0.9
for each one fifth, use a horizontal line or lines to show fractions equivalent to 1/5 and write the equivalent fractions
Answers
Answer:
2/10
Step-by-step explanation:
write the ration in following three ways
12 mangoes to 36 fruits
Answers
A cell phone is originally priced at $80. The online retailer gives a discount and the cell phone is now priced at $40. Enter the percentage discount for the cost of the cell phone.
Answers
Answer: The percent that the phone is on sale is 50%. The discount if 40 dollars.1/2 of the total will be taken off.
1. A 15-pound bag of sugar is being split into containers that hold of a pound. How many
containers of sugar will the 15-pound bag create?
The answer is: 17 1/7 containers. The work is on the photo
Answers
Answer:
yes
Step-by-step explanation:
yes
PLEASE ANSWER ASAP FOR BRANLEST!!!!!!!!!!!!!!!
Solve,Check, show work:
a) 2x + 7 = 15
b) 3/4x + 8 = -12
Answers
A)11
B)0.1875
Step-by-step explanation:
2x+7=15
2x+7-7=15+7
2x=22
2x/2=22/2
3.4x+8=-12
3/4x+8-8=-12+8
3/4x=-4
3/4divided by 3/4=-4 divided by 3/4
x=0.1875
2) If the bill is $100 and the tax rate is 10%, then the sales tax is how much
money? *
$ 20.00
$ 25.00
$ 10.00
$ 5.00
3) If the bill is $45.12 and the tax rate is 13%, then the sales tax is how much
Answers
3). 5.86? I’m not sure if this is correct.
What is the value of x^6+y^2x 6 +y 2 x, start superscript, 6, end superscript, plus, y, squared when x=1x=1x, equals, 1 and y=11y=11y, equals, 11?
Answers
Try 122.
Step-by-step explanation:
Since x = 1, x^6 = 1.
Since y = 11, 11^2 = 121.
1 + 121 = 122.
So, the value of x ^ 6 + y ^ 2 = 122.Answer:82
Step-by-step explanation:
[tex]\frac{1}{2} x \frac{3}{4}[/tex]
Answers
SOMEONE HELP PLEASE !!!
n^2 - m; use m = 7, and n = 8
Answers
Answer:
57
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
n² - m
m = 7
n = 8
Step 2: Evaluate
Substitute: 8² - 7Exponents: 64 - 7Subtract: 57The top of a 25-foot ladder is sliding down a wall at a rate of 3 feet per second. When the top of the ladder is 15 feet from the ground, what is the rate of change between the bottom of the ladder and the wall?
Answers
Answer:
1.8ft/s
Step-by-step explanation:
Using the formula for calculating Speed as shown:
Speed = Distance/Time
Time = Distance/Speed
t = d/s
Given
d1 = 25 foot
s1 = 3ft/s
d2 = 15ft
Required
s2
Using the formula;
d1/s1 = d2/s2
s2 = s1d2/d1
s2 = 3*15/25
s2 = 45/25
s2 = 1.8ft/s
Hence the rate of change between the bottom of the ladder and the wall is 1.8ft/s
A diagram of a swimming pool is shown.
3.5 m
What is the approximate circumference of the swimming pool? Use 3. 14 as an estimate for .
O A. 7m
OB. 11 m
OC. 22 m
OD. 28 m
Answers
Answer:
Yeah the answer is 22
Step-by-step explanation:
Good job! :)
please help y'all no matter what I do I cannot figure this out please help what number would you add to both sides to complete the square in this trinomial x ^ 2 + 6x = -5 and the options are 6 , 9 , 12 and please show how you did it so I can figure out the rest of my homework
Answers
Answer:
Im sorry im not sure
Step-by-step explanation:
Which three side lengths best describe the triangle in the diagram?
O NG
1
2
3
0 1 2
3 4
5 6 7 8 9 10 11 12 13
LLLLLLL
12 13
5
8 9 10 11
4
O NCS 2 3
2
O NOS
O A. 5 cm, 12 cm, and 13 cm
OB. 5 cm, 10 cm, and 13 cm
O C. 4 cm, 8 cm, and 12 cm
OD. 7 cm, 12 cm, and 13 cm
Answers
Step-by-step explanation:
Option A best describes the diagram given above.
Write an equation of the line that passes through (−2,3) and (0,8).
Answers
Answer:
[tex]y = \frac{5}{2}x + 8[/tex]
Step-by-step explanation:
(-2 , 3 ) ; (0 , 8)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{8-3}{0-[-2]}\\\\=\frac{5}{0+2}\\\\=\frac{5}{2}[/tex]
m = 5/2 ; (0 , 8)
Equation: y -y1 = m(x -x1)
[tex]y - 8 =\frac{5}{2}(x - 0)\\\\y - 8 =\frac{5}{2}x\\y = \frac{5}{2}x + 8[/tex]
The table below shows the number of tea bags needed to make different amounts of iced tea. What is the total number of quarts of iced tea that can be made with 24 tea bags?
Answers
Answer:
6
Step-by-step explanation:
Search it up.
For 24 Tea bags 6 quarts of iced tea that can be made.
What is Proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
We have the Table,
With 8 tea bags, 2 Quartz of Iced Tea made.
As, there is proportionality between two values.
So, 16 / 4= 24 / x
4 = 24 / x
x = 24/4
x= 6
Hence, For 24 Tea bags 6 quarts of iced tea that can be made.
Learn more about proportion here:
https://brainly.com/question/26974513
#SPJ2
Mrs. Thaxton saved $700.00 to take her four grandchildren shopping. Her grandchildren are between the ages of 5 and 11. If Mrs. Thaxton spent $115.00 on each grandchild, how much money did she have left?
Answers
Answer:
240
Step-by-step explanation:
115x4=460
700-460=240
A sports store marks up t shirts it sells by 60% if the store bought a t shirt for 6.25 what will be the retail price
Answers
Answer:
I believe its 3.75
Step-by-step explanation:
Answer:
$10
Step-by-step explanation:
6.25×60% = 3.75
3.75+6.25 = 10
$10
One step equation
-104=8x
Answers
Answer:
The answer you gave can only be solved if you know what the Variable is.
Step-by-step explanation:
A one-step equation is an algebraic equation you can solve in only one step. Once you've solved it, you've found the value of the variable that makes the equation true. To solve one-step equations, we do the inverse (opposite) of whatever operation is being performed on the variable, so we get the variable by itself.