Answers
Answer:
12
Step-by-step explanation:
Using the pythagorean theorem we have DE^2 + 5^2 = 13^2
DE^2 = 169 - 25 = 144
DE = sqrt144 = 12
Or, you could just remember the triangle 5-12-13, as it is pretty common, along with 3-4-5, 7-24-25
Related Questions
Find the values of x and y in the diagram.
Answers
Step-by-step explanation:
the triangle URT is an Equilateral triangle so all angles are equal to 60°
and the full triangle UTS is a right angle .
5y= 90-60= 30°
y= 6
and since the triangle RST is an Isosceles triangle
so the angle RST and RTS are equal .
in this case =30° .
[tex] \sin(30) = \frac{x - 7}{11 + x - 7 } \\ \sin(30) = \frac{x - 7}{x + 4} \\ 0.5 = \frac{x - 7}{x + 4} \\ 0.5(x + 4) = (x - 7) \\ 0.5x + 2 = x - 7 \\ 0.5x = 9 \\ x = 18[/tex]
3. A bicycle wheel has a diameter of 559 mm and has 32 equally spaced spokes. What is the approximate arc
length, rounded to the nearest hundredth, between each spoke? Use 3.14 for it. Show your work.
Answers
Answer:
Arc length = 54.85mm
Step-by-step explanation:
360/32 = 11.25
11.25 * 559 = 6288.75
6288.75 * 3.14 = 19746.675
19746.675/ 360 = 54.851875
Rounded to the nearest hundredth
Arc length = 54.85mm
Debi walks laps around the mall for exercise during the winter months. The table represents the number of steps recorded on her pedometer as she walks laps around the mall one day.
Answers
Answer:
One lap around the mall is equal to 2,425 steps
Step-by-step explanation:
I got it right
2x-6y=8 6x+10y=-4
how do you slove it
Answers
Answer:
x=1, y=-1
Step-by-step explanation:
like the picture
A cylinder has a radius of 7 inches and a height of 13 in. What is the volume
of the cylinder?
Answers
Answer:
2,637.18 [tex]in^{3}[/tex]
Step-by-step explanation:
The formula for finding the volume of a cylinder is....
V = π [tex]r^{2}h[/tex]
π = 3.14
Radius = 7
Height = 13
Now that we have what we need, we can substitute the numbers into the equations to get our volume
V = π [tex]r^{2}h[/tex]
V = 3.14 * [tex]7^{2}[/tex] * 13
V = 3.14 * 49 * 13
V = 202.86 * 13
V = 2,637.18
The volume of the cylinder is 2,637.18 [tex]in^{3}[/tex]
Hope this helped!
have a supercalifragilisitcexpialidocious day!
please help!!!!!!!’nnn
Answers
Answer:
1. [tex]4x + 5y \leq 60[/tex]
2. 15
3. 12
4. No, because if you put those values into the inequality you get
4 * 9 + 5 * 5 [tex]\leq[/tex] 60 --> [tex]36 + 25 \leq 60[/tex] --> [tex]61 \leq 60[/tex] which is not true.
Step-by-step explanation:
1. if a car costs $4, the total cost of cars is 4x
if a doll costs $5, the total cost of dolls is 5y
you have at most $60 to spend, so the amount you spend has to be less than or equal to 60.
The inequality would be [tex]4x + 5y \leq 60[/tex].
2. At the x-intercept y would be 0, so
4x + 5(0) = 60
4x = 60
x = 15
3. At the y-intercept, x would be 0, so
4(0) + 5y = 60
5y = 60
y = 12
4. Already explained in the answer
Consider right triangle
Answers
Answer:
i think its c?
Step-by-step explanation:
One number is 8 times another number. The numbers are both positive and have a difference of 70. Find the numbers.
Which of the following equations could be used to solve the problem?
A. 8 x - x = 70
B. x - 8 x = 70
C. x - 8 = 70
Answers
Answer:
8x-x=70
Step-by-step explanation:
How many zeros does the function f(x) = 13x11 – 12x8 + 16x5 – 23x + 42 have?
Answers
Answer:
I typed in the equation to see how it would look on the graph and theres only one zero(x-intercept) on the graph.
Step-by-step explanation:
Please answer by showing your work
Answers
Answer:
Step-by-step explanation:
4x-2 +3x+7 = 180
7x + 5 = 180
7x = 175
x = 25
3(25) + 7 = 82
Answer:
82 (degrees)
Step-by-step explanation:
4x-2+3x+7=180=7x+5...175=7x...x=175/7... x=25
This is both angles combined which we know adds up to half of the entire quadrilateral (180 degrees). Then solve.
3(25) +7=82 which is equal to f
f=82
What is the value of the x variable in the solution to the following system of equations? (5 points)
4x − 3y = 3
5x − 4y = 3
x can be any number as there are infinitely many solutions to this system
There is no x value as there is no solution to this system
−3
3
Answers
Answer:
D. 3Step-by-step explanation:
Given system:
4x − 3y = 3 5x − 4y = 3Solve for x by elimination method:
Multiply the first equation by 4 and the second equation by 3:
4(4x - 3y) = 4(3) ⇒ 16x - 12y = 123(5x - 4y) = 3(3) ⇒ 15x - 12y = 9Subtract the second equation:
16x - 12y - 15x + 12y = 12 - 9x = 3Correct option is D
Answer:
x=3Step-by-step explanation:
to understand thisyou need to know about:system of linear equationPEMDASsolving system of linear equation using substitution methodgiven:4x − 3y = 3
5x − 4y = 3
let's justify how many solutions the system of linear equation hasa system of linear equation has one solution when
[tex] \frac{ a_{1} }{a_2} ≠ \frac{b_1}{b_2} [/tex][tex] \frac{4 }{5} ≠ \frac{ - 3}{ - 4} [/tex]
therefore
this system of linear equation has only one solution
let's figure out x using substitution method:4x − 3y = 3.......1
5x − 4y = 3.......2
get from 1st equation
[tex]4x - 3y = 3 \\ - 3y= - 4x + 3 \\ y = \frac{ - 4x + 3}{ - 3 } \\ y = \frac{4}{3} x - 1[/tex]
[tex]subsitute \: got \: volue \: of \: y \: into \: 2nd \: equation[/tex]
[tex]5x - 4( \frac{4}{3} x - 1) = 3 \\ 5x - \frac{16}{3} x + 4 = 3 \\ 5x - \frac{16}{3} x = - 1 \\ \frac{15x - 16x}{3} = - 1 \\ - x = - 3 \\ \huge \therefore \: x = 3[/tex]
Morgan pays $25 in monthly fees for her baseball team's uniforms and field rental. What kind of expense is the fee she pays?
Answers
I think it's either fixed or income but I think it's income
Answer:
Fixed
Step-by-step explanation:
She's paying a consistent amount every month
F(x)= 2/3x -6 what is the value of f(-9)
Answers
f(-9) means x is -9
Replace x with -9 and solve:
2/3(-9) - 6
Simplify:
-6 - 6 = -12
f(-9) = -12
Choose the correct statement. Consider the sum of 3V8 and 2V18
A
The sum of two irrational numbers is irrational,
B
The sum of two irrational numbers is rational
С
The sum of one rational number and one irrational number is irrational
D
The sum of one rational number and one irrational number is rational
Answers
Answer:
i think its B............
2. Flying to Kampala with a tailwind a plane averaged 158 km/h . On the return trip the plane only averaged 112 km/h while flying back into the same wind. Find the speed of the wind and the speed of the plane in still air.
Help please
Answers
Answer:
Speed of plane in still air = 135 km/h
Speed of wind = 23 km/h
Step-by-step explanation:
Given that:
Speed of plane with the wind = 158km/h
Speed of plane against the wind = 112km/h
Let,
x be the speed of plane
y be the speed of wind
According to given statement;
x+y = 158 Eqn 1
x-y = 112 Eqn 2
Adding Eqn 1 and 2
[tex]x+y+x-y=158+112\\2x = 170\\\frac{2x}{2}=\frac{270}{2}\\x=135[/tex]
Putting x = 135 in Eqn 1
135+y = 158
y = 158-135
y = 23
Hence,
Speed of plane in still air = 135 km/h
Speed of wind = 23 km/h
Pleaseee need help quick
Answers
Answer: 12 minutes
Step-by-step explanation: water :)
6. A cation is any atom or group of atoms with
A) a positive charge. B) no charge. C) a negative charge. D) more electrons
Please help !!!
Answers
Answer:
bro ur in mathematics
Step-by-step explanation: none
Combine Like Terms : -4x+3-7x-8
Answers
Answer:
[tex] - 4x + 3 - 7x - 8 \\ = - 11x - 5 \\ = - (11x + 5)[/tex]
(-11x-5) is the right answer.Answer:
-11x-5
Step-by-step explanation:
-4x-7x+3-8_______collect like terms together
-11x-5___________simplified form
Pls help pls I’ll mark you brain
Answers
Answer:
option b is the correct one l
whats the slope of 3x-4y=20
Answers
Line segments AC and BD intersect at E. AED=134. What is the measure of CED
Help me fast plssssss
Answers
Answer:134
Step-by-step explanation:
The measure of CED is 46°. The correct option is C. 46°
Calculating the measure of angles on a straight lineFrom the question, we are to calculate the measure of angle CED
From the given diagram, we can write that
∠AED + ∠CED = 180° (Sum of angles on a straight line)
From the given information,
∠AED = 134°
Thus,
134° + ∠CED = 180°
∠CED = 180° - 134°
∠CED = 46°
Hence, the measure of CED is 46°. The correct option is C. 46°
Learn more on Calculating the measure of an angle here: https://brainly.com/question/164801
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Michelle is playing a number guessing game where you must guess the two numbers she is thinking about and gives two hints. The first hint is that the sum of two numbers is 50. The second hint is the first number is 43 less than twice the second number. What are the two numbers?
Answers
Answer:
The two numbers are a = 57 and b = -7
Step-by-step explanation:
Let's write the first sentence into an equation.
A) The sum of two numbers is 50
[tex]a+b=50[/tex] (1)
B)The first number is 43 less than twice the second number.
[tex]a=43-2b[/tex] (2)
Now, we just need to solve the system of equations (1) and (2)
Let's put (2) into the (1)
[tex]43-2b+b=50[/tex]
[tex]43-b=50[/tex]
[tex]b=43-50[/tex]
[tex]b=-7[/tex]
Using this value in (1) we can find a
[tex]a-7=50[/tex]
[tex]a=57[/tex]
Therefore, the two numbers are a = 57 and b = -7
I hope it helps you!
Please help! If i don't get all my homework done I can't leave the house, but I'm stuck on this question.
Answers
How did the League of Nations' failure to end the Abyssinian Crisis help lead to World War II? The failure showed that even a powerful organization cannot stop dictators. The failure proved that Germany was stronger than all other European nations. The failure was a starting point for a buildup of aggression around the world. The failure led to escalating border wars among former member nations.
Answers
Answer:
C - The failure was a starting point for a buildup of aggression around the world.
Step-by-step explanation:
EDGE2021 :-)
Have a nice day! ;)
We can actually deduce here that the League of Nations' failure to end the Abyssinian Crisis actually helped to lead to World War II in the following way: C. The failure was a starting point for a buildup of aggression around the world.
What is Abyssinian Crisis?The Abyssinia Crisis is actually known to be a crisis that took place in 1935 which took place during the period of the conflict between the Kingdom of Italy and the Empire of Ethiopia. It happened that Italy was actually ruled against by the League of Nations. They were voted for economic sanctions.
We can actually deduce here that the League of Nations' failure to end the Abyssinia Crisis led to World War II when there was a buildup of aggression around the world.
Learn more about Abyssinian Crisis on https://brainly.com/question/473534
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What is the answer to (-3a²b²c⁴)³
Answers
Find the exact value of cot 315∘ in simplest form with a rational denominator.
Answers
−
cot
(
45
)
Answer: -1
Step-by-step explanation:
The radius of a circle is 14 meters. What is the circle circumference
Answers
Step-by-step explanation:
HERE,
redius of a circle (r)=14 meters.
we know that,
[tex]\boxed{\red{\sf{circle~ circumference=2\times \pi \times r }}}[/tex]
According to the question,
circle circumference=
[tex]\tt{2\times \pi \times 14 }[/tex][tex]\tt{2 \times \dfrac{22}{7} \times 14 }[/tex]
[tex]\tt{2 \times \dfrac{22}{\cancel{7}} \times \cancel{14}}[/tex]
[tex]\tt{2\times 22 \times 2 }[/tex]
[tex]\tt{ 88~meters }[/tex]
so, the circumference of that circle is 88 meters.
Can someone explain please!!!
What is the value of this Expression (81¼) ⁴
Answers
Answer: 43580627.4414
This question is fake I think because it is impossible even for 10x10x10x10 to get an 2 digit answer
[tex]\frac{3}{4} q^{2}+7-\frac{1}{2} q^{2}[/tex]
Simplify this quesstion
Answers
Hope this helps :)
Answer:
The correct answer is,
[tex] \frac{ {q}^{2} }{4} + 7[/tex]
A recent physical inventory at a department store reports a merchandise value of $976,454. The merchandise book value was $1,150,450. The merchandise sales were $2,950,675. What is the shrinkage as a percentage of sales?
a) 2.3%
b) 4.6%
c) 5.9%
d) 7.9%
Answers
Answer:
c) 5.9%
Step-by-step explanation:
