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
A small business earns a profit of $4,500 in
March and $9,500 in July. What is the rate
of change in profit for this time period?
Answers
Answer:
$2750/month
Step-by-step explanation:
the point (- 7, 4) is reflected over the line x = - 3 . Then , the resulting point is reflected over the line y = x . Where is the point located after both reflections?
Answers
Answer:
(-10,-7)
Step-by-step explanation:
first reflect over x=-3
(-7,-10)
then reflect over y=x
(-10,-7)
How many inches are in 4 1/2 yards of fabric?
Answers
Answer: 162 inches
Step-by-step explanation: 4 yards are 144 inches and 1 yard alone is 36 when you divide it by half it’s 18. (144+18=162)
To convert [tex]4 \dfrac{1}{2}[/tex] yards of fabric to inches, multiply by 36.
Therefore, there are 162 inches in [tex]4 \dfrac{1}{2}[/tex] yards.
For the measurement, we know
1 yard = 36 inches
The given measurement is: [tex]4 \dfrac{1}{2}[/tex] yards
Convert it into an improper fraction,
[tex]4\dfrac{1}{2} = \dfrac{4 \times 2 + 1}{2} \\\\ = \dfrac{9}{2}[/tex]
Thus, [tex]4 \dfrac{1}{2}[/tex] yards can be written as [tex]\dfrac{9}{2}[/tex] yards.
Since 1 yard = 36 inches
Therefore,
(9/2) yards = (9/2)x36 inches
= 9 x 18 inches
= 162 inches
Hence,
The measurement [tex]4 \dfrac{1}{2}[/tex] yards are equivalent to 162 inches.
To learn more about the measurement unit visit:
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Helppppp pleaseeeeeeeeeeeeee
Answers
2...Yes
3...No
4...Yes
x + 3 = 0
y = 1
What is the solution of the system?
(3, 1)
(1, 3)
(1, -3)
(-3, 1)
Answers
Answer:
1 i think this is answer...
Graph the linear equation.
y+4=25(x−3)
Answers
Answer:
Attached
Step-by-step explanation:
y+4=25(x−3)
y = 25x - 79
The graph of the linear equation y + 4 = 25 (x + 3) is given below.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
y + 4 = 25 ( x + 3)
Some coordinates on the graph are:
When x = 0,
y + 4 = 175
y = 175 - 4
y = 171
When x = 1,
y + 4 = 25 (1 + 3)
y = 100 - 4
y = 96
Now,
The graph is given below.
Learn more about coordinates here:
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explain the steps that you would use to explain the equation -2x+10>50 to solve for x.
Answers
Step-by-step explanation:
make it braintliest please
8) If a cube is cut by a plane to form a cross section, under what circumstance can the cross section
be a non-rectangular parallelogram?
Answers
a) when the plane cuts three faces of the cube, separating one corner from the others
b) when the plane passes through a pair of vertices that do not share a common face
c) when the plane is perpendicular to the base and intersects two adjacent vertical faces
d) when the plane makes an acute angle to the base and intersects three vertical faces
e) not enough information to answer the question
The right answer is the first choice: a) when the plane cuts three faces of the cube, separating one corner from the others
You can see a picture of this case in the figure attached: as you can see the cross section (in pink) is a triangle.
A bouncy ball is dropped such that the height of its first bounce is 6.5 feet and each
successive bounce is 75% of the previous bounce's height. What would be the height
of the 10th bounce of the ball? Round to the nearest tenth (if necessary).
Answers
Answer:
.3 feet
Step-by-step explanation:
quick math
6.5*75%^10
What is (-6,3) reflected across the x axis
Answers
Answer:
The new coordinates are (-6,-3) inside the third quadrant!!!!
Jessica is making party punch. The recipe calls for 1 3/4 cups of cranberry juice. How many fluid ounces is this?
Which student is correct?
Answers
Student A is correct, this is because 1.75 cups converts to 14 fluid ounces.
Pls answer the question
Answers
Answer:
x is the right answer because the x value is only going to one output
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Write an equation in point slope form for the line that passes through each point with the given slope.
(1,4), m=6
Answers
Answer:
y = 6x -2
Step-by-step explanation:
Answer:
y = 6x - 2
Step-by-step explanation:
pass (1,4)
y = mx + b
b = y - mx = 4 - 6 x 1 = -2
y = 6x - 2
Eighteen more than seven times a number is 19.
Answers
Answer:
18+7x=19
Step-by-step explanation:
18+7x=19
More than in math represents addition, and the "a number" phrase is your variable, which is x.
(this is for if you're supposed to solve the equation)
7x=19-18
7x=1
x=1/7
I'm not really sure if you're supposed to actually solve the problem or write out the equation the question is asking for, but just with the context I'm given hopefully you don't have to) ;D
help please i don’t get this
Answers
Answer:
y=93°, z=79°
Step-by-step explanation:
Lines and Angles
There are properties of lines and angles that will help us to find the required values.
The vertex at the bottom left side of the quadrilateral has two angles that were formed when two lines crossed. Those are called linear angles, and they always add up to 180°.
This means that z is the angle needed to complete 180°, that is:
z = 180° - 101° = 79°
Now the quadrilateral must have the sum of its internal angles equal to 360°. We have three of them that sum: 100°+88°+79°=267°.
This means y is the angle needed to complete 360°, or:
y = 360° - 267° = 93°
Answer: y=93°, z=79°
what happens to the Y
11= 2y + 5
Answers
y = 3
______________________________
1.) Subtract 5 from both sides:[tex]5-5=[/tex] Cancels Out[tex]11-5=6[/tex]2.) Divide both sides by 2:[tex]2y[/tex] ÷ [tex]2=y[/tex][tex]6[/tex] ÷ [tex]2=3[/tex]
______________________________
how how do you solve this please explain
Answers
Answer:
1. have se x
Step-by-step explanation:
Answer:
x = 36
Step-by-step explanation:
(3x + 10) + 62 = 180
3x = 180 - 62 - 10 = 108
x = 36
Graph the equation.
y = -2(x - 1) - 4
Answers
Answer:
y-intercept is (0, -2)
x-intercept is (-1, 0)
Step-by-step explanation:
Find the value of X. Show your work.
Congruent triangle
Answers
Answer:
x = 3
Step-by-step explanation:
exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles
97 + x = 64 + 27
x = 97 - 64 - 27 = 6
Answer: x=-6
you know that the interior angles of a triangle equal 180°. so lets find the remaining angle measure
64 + 27 = 91
180 - 91 = 89
so 89 is the third interior angle of the triangle. now let's find the exterior angle.
you know that the extended angle is supplementary; which means it will equal 180° as well. so lets add the third interior angle we just found and let's add it to the unknown expression:
89 + 97 + x = 180
186 + x = 180
-186 -186
x = -6
now it might seem wrong because x is negative and it feels like it should be positive. but let's check our answer.
64+27+89 does equal 180
and 97+(-6)+89 does equal 180
i hope this helps!
Which pair of expressions is equivalent? A. 4x – 12 and 3(x – 3) e B. 2x B. 2(x + 3) + 1 and 2x + 6 C. 11x – 4 + 2x and 13x - 4 D. X-5 - 10x and -11% - 5
Answers
Explanation: 11x-4+2x is equal to 13x-4
When simplifled, the value of the expression (15 - 11) 2 + 64 +4 is equal to
10
4
24
18
Answers
Answer:
I genuinely dont see the answer lol
Step-by-step explanation:
P - Parenthesis
E - Exponent
M - Multiply
D - Divide
A - Add
S - Subtract
[tex](15 - 11)2 + 64 + 4 \\ (4)2 + 64 + 4 \\ 8 + 64 + 4 \\ 72 + 4 \\ 76[/tex]
Hello can someone please help me with this. I'll give 50 points.
A business has $11,080 to spend on new laptops and tablet computers for its salespeople. The laptops cost $515 each. The tablets cost $285 each. The business wants each salesperson to have either a laptop or a tablet. There are 30 salespeople. How many of each type of computer should the business buy?
a. 9 laptops and 21 tablets
b. 11 laptops and 19 tablets
c. 19 laptops and 11 tablets
d. 21 laptops and 9 tablets
Answers
Answer:
I think it's A because that's only 10,620
Answer: b. 11 laptops and 19 tablets
Step-by-step explanation:
Combine Like Terms for this expression.
8r - 9 - 2r-1
Answers
Answer:
Your answer would be- 8-6r
Step-by-step explanation:
You would combine the LIKE TERMS. The two pairs of like terms are 8r-2r and 9-1. You subtract those two pars and get 8-6r!
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Why did the gym close down? It just didn't work out. *Nods head. Very sad.
sam can make 10 bracelets in 4 hours. how many bracelets can he make in 1 hour. 2 hours. and 3 hours.
Answers
Answer:
1 hour- 2 bracelets ; 2 hours 2 bracelets; 3 hours 4 bracelets
Step-by-step explanation:
i dont know if correct
Jaye walked 50 dogs this week. 40% of the dogs were brown. How many of the dogs were brown?
Answers
Answer: 30
Step-by-step explanation:
50x .4 = 20
50-20=30
I have too many different answers. Can someone find the right one?
Answers
Answer:
790 feet
Step-by-step explanation:
19 can be written as 152/8 and 3/4 is equal to 6/8
152/8 + 6/8 = 158/8
158 x 5 = 790
need help right now due today I will get brainiest with all the answers
Answers
Answer:
9. 9 1/2
10. 1 1/2
11. 15 3/4
12. 1 1/3
13. 12 stores sell shoes.
14. the area of the floor is 7,606.625 ft²
15. 3 1/3
16. 4 skateboards
hope this helps. have a good day
Find the radius of a circle given that a central angle of measure pi/4 intercepts an arc of length 1.5in
Answers
Given:
Central angle = [tex]\dfrac{\pi}{4}[/tex]
Arc length = 1.5 in
To find:
The radius of the circle.
Solution:
We know that the formula for arc length is
[tex]s=r\theta[/tex]
Where r is radius and [tex]\theta [/tex] is the central angle in radian.
Substitute the given values in the above formula.
[tex]1.5=r\times \dfrac{\pi}{4}[/tex]
[tex]6=\pi r[/tex]
[tex]\dfrac{6}{\pi}=r[/tex]
[tex]\dfrac{6}{3.14}=r[/tex]
On further simplifiation, we get
[tex]r=1.910828[/tex]
[tex]r\approx 1.91[/tex]
Therefore, the radius of the circle is 1.91 in.
Which three lengths could be the lengths of the sides of a triangle?
a. 11cm, 11 cm, 24 cm
b. 18 cm, 12 cm, 9 cm
c. 9 cm, 19 cm, 10 cm
d. 4 cm, 7 cm, 23 cm
Answers
Step-by-step explanation:
If it is an isosceles triangle, Option A is most suitable.
But if it's a scalene triangle, Option B,C and D would suffice.
A chef is making pickles. he needs 15 gallons of vinegar. The store sells 2 gallons of vinegar for $3.00 and allows customers to buy any amount of vinegar. decide whether each of the following ratios correctly represents the price of vinegar.
a. 4 gallons to $3.00
b. 1 gallon to $1.50
c. 30 gallons to $45.00
d. $2.00 to 30 gallons
e. $1.00 to 2/3 gallon
Answers
a is incorrect
b is correct
c is correct
d is incorrect
e is incorrect
Answer:
its b
Step-by-step explanation: