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
[tex]{\underline{\underline{\bf{Given:}}}}[/tex]
A right-angled triangle DEFMeasure of angle F = 90°Measure of side DF = 13.6 mMeasure of side DE = 16.2 m[tex]{\underline{\underline{\bf{Need\:to\:find:}}}}[/tex]
The measure of side EF.[tex]{\underline{\underline{\bf{Formula\:to\:be\:used:}}}}[/tex]
Pythagorean Theorem:
[tex]\underline{\boxed{\sf{{Base}^{2}+{Perpendicular}^{2}={Hypotenuse}^{2}}}}[/tex]
[tex]{\underline{\underline{\bf{Solution:}}}}[/tex]
According to the given data, we know the measures of Perpendicular and Hypotenuse. Hence, the measure of the base (Side FE) can be found by substituting the given measures in Pythagorean Theorem.
[tex]\implies{\sf{{Base}^{2}+{Perpendicular}^{2}={Hypotenuse}^{2}}}[/tex]
[tex]\implies{\sf{{EF}^{2}+{DF}^{2}={DE}^{2}}}[/tex]
[tex]\implies{\sf{{EF}^{2}+{(13.6)}^{2}={(16.2)}^{2}}}[/tex]
[tex]\implies{\sf{ EF = \sqrt{ {(16.2)}^{2} - {(13.6)}^{2} } }}[/tex]
[tex]\implies{\sf{ EF = \sqrt{ 262.44 - 184.96 } }}[/tex]
[tex]\implies{\sf{ EF = \sqrt{77.48 } }}[/tex]
[tex]\implies{\sf{EF=\red{\underline{\underline{8.802\:m}}}}}[/tex]
[tex]{\underline{\underline{\bf{Required\:answer:}}}}[/tex]
The length of side EF is 8.802 m.___________________________________________Related Questions
In ΔSTU, t = 21 cm, s = 30 cm and ∠S=26°. Find all possible values of ∠T, to the nearest degree.
Answers
Answer:
18 degrees
Step-by-step explanation:
Answer:
fat
Step-by-step explanation:
yo mamo so fat when she jumps to the pool she sends the water to mars
Which statement is true of normally distributed data?
A.
Approximately 90% of data falls within 2 standard deviations (±2) of the mean.
B.
Approximately 90% of data falls within 3 standard deviations of (±3) the mean.
C.
Approximately 95% of data falls within 2 standard deviations (±2) of the mean.
D.
Approximately 95% of data falls within 3 standard deviations (±3) of the mean.
Please explain and no answering just for points.
Answers
C
have a nice day!!!!!!!!!!!!!!!!!!!!!!!
Approximately 95% of data falls within 2 standard deviations (±2) of the mean. Option D is correct.
What is a normal distribution?A normal distribution is a type of continuous probability distribution for a real-valued random variable such that the values are symmetric about a mean and the curve has bell shape.
Standard deviation is the measure of the randomness of the distribution. The curve has its peak at the mean.
As standard deviation increases, the peak of the curve comes lower and the distribution becomes more and more dispersed.
In a normal distribution 68% of the values falls within 1 standard deviation
and 95% of the values falls within two standard deviations. 99% of the values falls within three standard deviations.
Hence, approximately 95% of data falls within 2 standard deviations (±2) of the mean.
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Find the volume of the following figure
Answers
Answer:
there is no picture?
Step-by-step explanation:
1+1=? HHHHHHELP!!!!!!!
Answers
Answer:
2,thanks,for the points
A quality control inspector has drawn a sample of 19 light bulbs from a recent production lot. If the number of defective bulbs is 1 or less, the lot passes inspection. Suppose 30% of the bulbs in the lot are defective. What is the probability that the lot will pass inspection
Answers
Answer:
0.0016283
Step-by-step explanation:
Given that:
Proportion of defective bulbs, p = 30% = 0.3
Sample size, n = 19 bulbs
Probability that the lot will pass inspection :
P(none of the 19 is defective) Or P(only one of the 19 is defective)
P(none of the 19 is defective) = (1 - p) ^n = (1 - 0.3)^19 ; 0.7^19
0.7^19 = 0.0011398
P(only one of the 19 is defective) :
P(1 defective) * P(18 not defective )
(0.3) * (1 - 0.3)^18
0.3 * 0.7^18
0.3 * 0.001628413597910449 = 0.0004885
Hence,
P(none of the 19 is defective) + P(only one of the 19 is defective)
0.0011398 + 0.0004885) = 0.0016283
Help please, it’s due today
Answers
Answer:
X = 37
Step-by-step explanation:
A triangles angles add up to 180. You have two of the three. You can do
x + 45 + 98 = 180
then simplify
x + 143 = 180
subtract 143 from both sides
x = 37
In art class, David painted an image of a bowl of fruit. For the oranges, he mixed 2 ounces of
white paint and 4 ounces of orange paint. For the peaches, he mixed 3 ounces of white paint
and 5 ounces of orange paint. Which type of fruit was a lighter shade of orange?
Answers
Answer: the peaches were a lighter shade of orange
Which of the following is a divisor of 12! · 6! + 12! + 6! + 1?
A. 21
B. 77
C. 91
D. 115
E. 143
Hint : Use Wilson's Theorem[tex].[/tex]
Answers
Answer:
C. 91Step-by-step explanation:
Rewriting the given as factors:
12! · 6! + 12! + 6! + 1 =12!(6! + 1) + (6! + 1) =(12! + 1)(6! + 1) =((13 - 1)! + 1)((7 - 1)! + 1)As per Wilson's theorem, if n is prime number, (n - 1)! + 1 is divisible by n
As per above, 13 and 7 are both prime numbers, so the expression is divisible by both 7 and 13:
7*13 = 91So correct choice is C
please help me please
Answers
Y intercept -2,0
X intercept 0,2
Slope 1
Eq2
X intercept-2,0
Y intercept 0,2
Slope 1
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.
Camille bought a set of kitchen chairs discounted 25% off of the original price of $170. What was the sale price of the set of chairs?
Answers
Answer:
127.5
Step-by-step explanation:
0.25*170 then take away from 170
$127.5 was the sale price of the set of kitchen chairs.
Given:
Camille bought a set of kitchen chairs at discounted 25% off of the original price.
The original price of a set of kitchen chairs = $170
To find:
The sale price of the set of kitchen chairs.
Solution:
The original price of a set of kitchen chairs = O.P = $170
The percent of discount on the set of kitchen chairs = d% = 25%
The discount price on the set of kitchen chair= D
[tex]d\%=\frac{D}{O.P}\times 100\\25\%=\frac{D}{\$170}\times 100\\D=\frac{25\times \$170}{100}=\$42.5[/tex]
The sales price of a set of kitchen chairs = S.P
[tex]S.P=O.P-D\\=\$170-\$42.5=\$127.5[/tex]
$127.5 was the sale price of the set of kitchen chairs.
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How high is a tree that casts a 35-ft shadow at the same time a 8-ft post casts a shadow which is 9-ft long
Answers
Answer:
it depend on which angle is the sun is
Step-by-step explanation:
Answer:
It would be approximately 40 ft, but the precise answer is 39.375 ft. Hope that helped!
Step-by-step explanation:
Write a multiplication sentence to find of the rectangle by moving numbers to the line
Answers
Answer:
caca
Step-by-step explanation:
PRE CALC ON EDGE PLEASE HELP 100 PTS!!! IM TIMED
Answers
Answer:
The last option
Step-by-step explanation:
a is the hypotenuse, x is the adjacent, h is the opposite.
a^2 = h^2 + x^2
Subtract x^2 from both sides
h^2 = a^2 - x^2
Please gimme brainliest
Markers were placed at altitudes of 10 and 15 feet below sea level Enter the integer that represents the altitude closer to sea level
Answers
Answer:
43
neeed...20...charetors
The integer that represents the altitude closer to sea level is 10.
What is addition?Addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value. A numerical expression is algebraic information stated in the form of numbers and variables that are unknown.
We are informed that Markers were placed at altitudes of 10 and 15 feet below sea level
Then we need to find the integer that represents the altitude closer to sea level.
We can say that 10 is negative (below the sea level), and 10 is 10 spaces away from zero on the number line, meaning the answer could be |10|.
The sea level would be 0 and the 10 would be -10 and the 15 will be -15
Hence, the 10 is closer to the sea level.
Thus the integer that represents the altitude closer to sea level is 10,
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The decorating committee for a
school banque decides to put flower
arrangements on cach table. Each
arrangement will have 3 white
carnations and 5 yellow carnations.
The committee will need 60 white
carnations. What is the total numbe
of white and yellow carnations the
committee will need?
Answers
The ratio is 3:5 of white to yellow.
They need 60 white which means they times by 20. So 20x5=100 they will need 100 yellow. In total they need 160
8th Grade Math Midterm
Answers
5x - 4y = -8 x + 4y F-16
Answers
Given the figure below , find the values of x and z .
Answers
Answer:
6x+36=11x-9
11x-6x=36+9
5x=45
X=45
now,
45+Z=180
Z=180-45
Therefore,Z=135
6x+36=11x-9
or,11x-6x=36+9
or,5x=44
:X=35
We know that,
45+Z=180
or,Z=180-45
:Z=135
i need help don't understand
Answers
Answer:
33,945,60
i hope this helped
Wich quadrilaterals always have consecutive angles that are supplementary
Answers
Answer:
PARALLELOGRAMS (rectangles, squares, and rhombi): 1) Opposite sides of a parallelogram are congruent. 2) Opposite angles of a parallelogram are congruent. 3) Consecutive angles in a parallelogram are supplementary.
Step-by-step explanation:
The quadrilaterals which have supplementary consecutive angles are called; Parallelogram.
What is a quadrilateral?Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
The quadrilaterals which have supplementary consecutive angles are called Parallelogram.
A parallelogram is a kind of quadrilateral which has two parallel sides on each opposite sides which are equal and the opposite angles in a parallelogram are also equal.
The consecutive angles of a parallelogram are supplementary refers that the sum of the consecutive angles in a parallelogram is equal to 180 degrees. The total sum of all the angles in a parallelogram is 360 degrees as it is a quadrilateral.
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What is the answer to this equation?
Answers
Answer:
m∠A = 78°
Step-by-step explanation:
The question tells us these angles are supplementary meaning they will add up to 180°. We can use the information to make an equation.
m∠A + m∠B = 180
3x + 18 + 5x + 2 = 180
8x + 20 = 180
8x = 160
x = 20
Now we can substitute the solution for x to find the measure of ∠A.
m∠A = 3(20) + 18
m∠A = 60 + 18
m∠A = 78
The product of the slopes of parallel lines is 1
Sometimes, never, or always
Answers
Answer:
Sometimes
Step-by-step explanation:
Totally blanking on how medians work
Answers
===============================================
The three medians of this triangle are:
PFREQDThese segments go from one vertex to the midpoint of the opposite side.
The median we'll focus on is PF.
The point C is the centroid of the triangle. It's where the three medians intersect. It turns out that C divides PF such that CF is twice as long as PC
In other words,
CF = 2*PC
This means,
PF = PC+CF .... segment addition postulate
PF = PC+2*PC ... replace CF with 2*PC
PF = 3*PC .... combine like terms
So the median PF is three times the length of its portion PC
We're told that PF = 24
We can then find the following:
PF = 3*PC
24 = 3*PC
3*PC = 24
PC = 24/3
PC = 8
Then we double this to get the length of CF
CF = 2*PC
CF = 2*8
CF = 16
This is the same as FC because the order of the endpoints don't matter when it comes to naming a segment.
The final answer is 16.
this is for literal equations
A=4 πr2 (r2)
i think you solve for r2
Answers
Answer:
[tex]r^2=\dfrac{A}{4\pi}[/tex]
Step-by-step explanation:
The given equation is A=4 πr².
We need to solve the above equation for r².
We have,
A=4πr²
Dividing both sides by 4π, we get :
[tex]\dfrac{A}{4\pi}=\dfrac{4\pi r^2}{4\pi}\\\\r^2=\dfrac{A}{4\pi}[/tex]
Hence, the value of r² is equal to [tex]\dfrac{A}{4\pi}[/tex].
What is the sum (2/5x + 5/8) + (1/5x - 1/4)? a. 3/5 x + 1/8 b. 3/5 x + 3/8 c. 3/5x + 5/8 d. 3/5x + 7/8
Answers
Answer:
3/5x + 3/8
Step-by-step explanation:
2/5x + 5/8 + 1/5x - 1/4
1. Combine like terms so now u have
3/5x + 3/8
In case you want to know how I got 3/8
You want a common denominator so
from 5/8 + 1/4, make both denominator 8
so 1 *2/ 4* 2
so now you converted the 1/4 to 2/8
So then 5/8 - 2/8 gives u 3/8 and that's how i got 3/8
Hope this helped!
Answer:
3/5x + 3/8
Step-by-step explanation:
Percent is always out of _________ ?
Answers
Answer:
Percent is always out of 100
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
The width of the rectangle is 40% of its length. What is the area of the rectangle?
A rectangle. The length is 20 feet.
Answers
Answer:
160in²
Step-by-step explanation:
40% = 0.4 = 4/10
The length is 20, 40% of that is (0.4)(20) = 8in
Length * width . = 20*8 = 160in²
The width of the rectangle is equal to 8 feet.
What is the area of the rectangle?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the width of the rectangle is 40% of its length.
The width will be calculated as,
W = 0.4 x L
W = 0.4 x 20
W = 8 feet
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26 cm
10 cm
24 cm
Is it a right triangle
Answers
Answer:
no it is not a right triangle
Step-by-step explanation:
Sketch a graph that shows the
relationship between grams of honey and
grams of salt needed for a bakery recipe.
Show on the graph how much honey is
needed for 70 grams of salt.
salt
honey
flour
(c)
10
14
4
25
35
10
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