Answers
Answer:
x=-5
Step-by-step explanation:
First set the values equal to each other;
5x-10=3x-20
Add 10 to both sides;
5x-10+10=3x-20+10
Simplify;
5x=3x-10
Subtract 3x from both sides;
5x-3x=3x-10-3x
Simplify;
2x=-10
Divide both sides by 2;
2x/2=-10/2
Simplify 2x/2;
2/2=1
=x
Simplify -10/2;
Apply the fraction rule;
=-10/2
Divide the numbers ; 10/2
x=-5
Answer:
x = 15
Step-by-step explanation:
<CBD and <DBA equal 90 degrees
5x - 10 + 3x - 20 = 90
8x - 30 = 90
8x = 120
x = 15
Related Questions
A block of wood has the shape of a triangular prism. The bases are right triangles. Find its surface area.
Answers
Answer:
Step-by-step explanation:
Area Triangles
Area = 1/2 b * h
In a right triangle the two smaller sides are used to find the area
A = 1/2 6 * 4.5
A = 1/2 * 27
A = 13.5
But there are 2 of them so that the area = 2* 13.5 = 27
Area Front side
Area = L * w
L = 13
w = 6
Area = 13 * 6
Area = 78
Area Back side
Area = L * W
Area = 4.5 * 13
Area = 58.5
Bottom Area
Area = L * W
L = 13
W = 7.5
Area = 13 * 7.5
Area = 97.5
Total Area = 58.5 + 78 + 27 + 97.5
Total Area = 163.5 + 97.5
Total Area = 261
3y + 7 =28 how do I solve
Answers
Answer:
y= 7
Step-by-step explanation:
3y+7=28
subtract 7 from both sides
3y=21
divide each side by 3
y/3=21/3
y=7
Answer:
y=7
Step-by-step explanation:
3y+7=28
Move the constant to the right
3y=28-7
Calculate
3y=21
divide both sides to get y=7
A circle and a regular pentagon can intersect in
A. 5 triangles
B. A circle
C. A square
D. 5 points
Answers
Answer:
I think it is option D,
hope it helps
i need help with this
Answers
Answer:
the second one
Step-by-step explanation:
When subtracting a negative, the negative turns to a positive, so in this case, -14- -8 would be the same as -14 + 8
In New York City at the spring equinox there are 12 hours 8 minutes of daylight. The longest and the shortes days of the year vary by 2 hours 53 minutes from the equinox. In this year the equinox falls on March 21. In this task you'll use a trigonamic function to model the hours of daylight hours on certain days of the year in New York City
Answers
Question:
In New York City at the spring equinox there are 12 hours 8 minutes of daylight. The longest and the shortest days of the year vary by 2 hours 53 minutes from the equinox. In this year, the equinox falls on March 21. In this task, you'll use a trigonometric function to model the hours of daylight hours on certain days of the year in New York City.
- Find amplitude and the period of the function
- Create a trigonometric function that describes the hours of sunlight for each day of the year
- Then use the function you built to find how fewer daylight hours February 10 will have then March 21
Answer:
(a)
[tex]A = 2.883[/tex] --- Amplitude
[tex]T = 365[/tex] ---- Period
(b) Trigonometry function
[tex]f(x) = 12.133 + 2.883sin(\frac{2\pi}{365}[x - 80])[/tex]
(c) [tex]Hours= 1.794[/tex]
Step-by-step explanation:
Given
[tex]Average\ Sunlight = 12hr\ 8 min[/tex]
[tex]Variance = 2hr\ 53min[/tex]
Solving (a): Amplitude (P) and Period (T)
The amplitude is the amount of time the longest and the shortest day vary.
So
[tex]A = 2\ hr\ 53\ min[/tex]
Convert to hours
[tex]A = 2\ + \frac{53}{60}[/tex]
[tex]A = 2+0.883[/tex]
[tex]A = 2.883[/tex]
The period (T) is the duration i.e 1 year
[tex]T = 1\ year[/tex]
Assume no leap year
[tex]T = 365[/tex]
Solving (b): Trigonometry function
The function follows a sinusoidal pattern and the general form is:
[tex]f(x) = \mu+ Asin(\frac{2\pi}{T}(x -n))[/tex]
Where
[tex]\mu = Average\ Value[/tex]
[tex]\mu = 12\ hr 8\ min[/tex]
Convert to hours
[tex]\mu = 12 + \frac{8}{60}[/tex]
[tex]\mu = 12 + 0.133[/tex]
[tex]\mu = 12.133[/tex]
[tex]A = 2.883[/tex] --- Amplitude
[tex]T = 365[/tex] ---- Period
[tex]n = Equinox[/tex]
[tex]n = March\ 21[/tex]
[tex]March\ 21st = 80th\ day[/tex]
So:
[tex]n= 80[/tex]
The function becomes:
[tex]f(x) = \mu+ Asin(\frac{2\pi}{T}(x -n))[/tex]
[tex]f(x) = 12.133 + 2.883sin(\frac{2\pi}{365}[x - 80])[/tex]
Solving (c): Fewer daylight hours will Feb. 10 have.
[tex]Feb\ 10 = 41st\ day[/tex]
So:
[tex]f(x) = 12.133 + 2.883sin(\frac{2\pi}{365}[x - 80])[/tex]
[tex]f(41) = 12.133 + 2.883sin(\frac{2\pi}{365}[41 - 80])[/tex]
[tex]f(41) = 12.133 + 2.883sin(\frac{2\pi}{365}[-39])[/tex]
[tex]2\pi = 360^\circ[/tex]
So:
[tex]f(41) = 12.133 + 2.883sin(\frac{360}{365}[-39])[/tex]
[tex]f(41) = 12.133 + 2.883sin(-38.466)[/tex]
[tex]f(41) = 12.133 - 2.883*0.6221[/tex]
[tex]f(41) = 10.339[/tex]
The fewer daylight hours is the calculated as:
[tex]Hours= Average - f(41)[/tex]
[tex]Hours= \mu - f(41)[/tex]
[tex]Hours= 12.133 - 10.339[/tex]
[tex]Hours= 1.794[/tex]
Always true, sometimes true, never true.
1) the centroid of a triangle is a point where the medians intersect.
2) a line of reflection is also a line of symmetry
3) a figure with rational symmetry can be rotated x degrees about a one of its vertices and the resulting image lines up perfectly with the original image.
4) the centroid of a triangle is located inside the triangle
5) all points on the angle bisector of
6) if there exists a transformation that takes triangle QRS to triangle XYZ then the triangles are congruent
7) the inscribed circle of a triangle intersects all three of the triangles vertices.
_______________________
TRUE OR FALSE:
8) the base is the length of the altitude
9) a median of a triangle cuts the original triangle into two smaller triangles, each of whose area is half of the original triangle
10) the circumscribed circle lies inside the triangle and touches each of the sides
11) the incenter of a triangle is a point where the angle bisectors intersect
I really need help on these ASAP, thank you!!
Answers
Answer: the answers for numbers 1,2 and 4 are all true :)
1: True
2: True
4: True
wich is the correct?
Answers
Answer:
c
Step-by-step explanation:
17. Find the value of x. Round to the nearest degree.
Answers
Answer:
51. Don't completely know if it's correct though.
Step-by-step explanation:
I'd use sine, which is opposite side/hypotenuse. Here, I think the reference angle is x. The opposite side is 7, and the hypotenuse is 9. So...
sin(x) = [tex]\frac{7}{9}[/tex]
sin(x) = 0.7777
Next we use inverse sine.
sin⁻¹(0.7777) = approximately 51
The value of the angle x, for the given right angle, is approximately 51 degree to the nearest degree.
What is right angle triangle property?In a right angle triangle, the ratio of the opposite side to the hypotenuse side is equal to the sine angle between adjacent side and hypotenuse, side.
[tex]\sin\theta=\dfrac{b}{c}[/tex]
Here, (b) is the opposite side, (c) is the hypotenuse side and [tex]\theta[/tex] is the angle made between adjacent side and hypotenuse, side.
In the given figure, the hypotenuse side is 9 units long and opposite side is 7 units long.
The angle between adjacent side and hypotenuse is x degrees. Thus, by the right angle triangle property,
[tex]\sin x=\dfrac{7}{9}\\x=\sin^{-1}(0.778)\\x\approx51^o[/tex]
Hence, the value of the angle x, for the given right angle, is approximately 51 degree to the nearest degree.
Learn more about the right angle triangle property here;
https://brainly.com/question/22790996
Solve the following equation 2x
2
−3=0
1
Answers
Answer:
true
Step-by-step explanation:
What percent of 15y is 75?
Answers
Answer:
20%
Step-by-step explanation:
because 15/75×100 =1/5×100=20%
Answer:
Step-by-step explanation:
x% of 15y = 75
x% =75/(15y) = 5/y
x = 500/y
A swimmming pool with cylindrical base has a diameter of 21 feet and a depth of 5 feet. Find the volume of the pool
Answers
Answer: V = 1731.8Ft³
Step-by-step explanation:
v = πr²h
Radius is half of the diameter ⇒ 21/2 = 10.5
V = π(10.5)²(5)
V=π(110.5)(5)
V = π(551.25)
V = 1731.8Ft³
The solution is : the volume of the pool is V = 1731.8Ft³.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
Here, we have,
we know that,
the volume of the cylinder is:
v = πr²h
Radius is half of the diameter
⇒ 21/2
= 10.5
so, we get,
V = π(10.5)²(5)
V=π(110.5)(5)
V = π(551.25)
V = 1731.8Ft³
Hence, The solution is : the volume of the pool is V = 1731.8Ft³.
To learn more on volume click :
brainly.com/question/1578538
#SPJ2
Find the missing angle of the parallelogram.
V
52°
?
60
Answers
Answer:
3120
Step-by-step explanation:
52x60=3120
Answer:68
Step-by-step explanation:
Do 52 plus 60 then subtract it by 180 and you get 68
State the slope and y-intercept of the graph of y = 1/5x – 7.
Answers
Answer:
The slope is 1/5 and the y-intercept is -7
Step-by-step explanation:
In point-slope form (y = mx + b), m is the slope and b is the y-intercept.
A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the coins, 10% are pennies and 36% are dimes. There are 4 more nickels than pennies. How much money does the bag contain?
Answers
1) Mike invests $2,316 in a retirement
account with a fixed annual interest rate of
3% compounded continuously. What will
the account balance be after 17 years?
Answers
Answer:
$3828 approx
Step-by-step explanation:
Given data
Principal=$2316
Rate= 3%
Time= 17 years
The compound interest formula is
A=P(1+r)^t
substitute
A=2316(1+0.03)^17
A=2316(1.03)^17
A=2316*1.652847
A=$3827.99
Hence the account balance after 17 years is $3828 approx
simplify 32q2r2/4q3r
Answers
Answer: 16q5r2
Step-by-step explanation:
Can you make a triangle?
8, 2,8
Answers
Answer:
Step-by-step explanation:
yep
In the evenings, Jake and his friends would cookout and make s'mores for dessert. the ratio of chocolate squares to Graham crackers that they used is shown in the graph below. (repost)
Answers
Answer:
(2,3) also love your profile pic :)
( 2,3 ) I hope this helped you!~ have a great day~
~Keiji❤
Treat yourself well, remember to eat. You are valid. Love you!~
Find the value of the variables in the table.
x
n
4
6
10
12
y
1
9
m
21
25
Answers
Answer:
n=0 , m= 13 A
Step-by-step explanation:
For f(x) = x3 – x2, which gives an output of 48?
O f(-8)
O fl-4)
O f(4)
O f(8)
Answers
Answer:
f(4)
Step-by-step explanation:
The output is the value of f(x) for a given value of x ( the input )
Substitute the given values of x into f(x) to determine the output, that is
f(- 8) = (- 8)³ - (- 8)² = - 512 - 64 = - 576 ≠ 48
f(- 4) = (- 4)³ - (- 4)² = - 64 - 16 = - 80 ≠ 48
f(4) = 4³ - 4² = 64 - 16 = 48
Thus f(4) gives an output of 48
Which has opposite sides parallel and congruent?
Answers
9514 1404 393
Answer:
(d) parallelogram, rectangle, rhombus, and square
Step-by-step explanation:
Any form of parallelogram has opposite sides parallel and congruent. A trapezoid does not match that description.
A rectangle, rhombus, or square will be a parallelogram.
A circular plate has circumference 32 inches. What is the area of this plate? Use 3.14 for pi. The area of this plate is about nothing square inches.
Answers
Answer: The area of the plate is 81.67 in^2
Step-by-step explanation:
If we have a circle of radius R, the area of this circle can be computed as:
A = pi*R^2
where pi = 3.14
And the circumference is:
C = 2*pi*R
and we know that this is equal to 32 in, then:
32in = 2*pi*R
Now we can isolate R, and we get:
32in/(2*pi) = R
32in/(2*3.14) = R = 5.1 in
Then the area of the plate is:
A = 3.14*(5.1in)^2 = 81.67 in^2
Which of the following inequalities represent the number line below?
I NEED HELPPPPPPPPPPPPP
Answers
this sign “<“ with the line up under it
Which is greater
30% of 30 or 28% of 32 ?
You must show your working.
Answers
Answer:
30% of 30 = 9
28% of 32 = 8.96
Step-by-step explanation:
0.30 x 30 = 9
0.28 x 32 = 8.96
Answer:
30% of 30 > 28% of 32
Step-by-step explanation:
30% of 30:
0.3 x 30 = 9
28% of 32:
0.28 x 32 = 8.96
9 > 8.96
I need the answer to this
Answers
Answer:
parallel as if we place the ond the coordinate grkd they will form lines paral.el to each other(;
im feeling generous. entertain me
Answers
Answer:
-,-
Step-by-step explanation:
Cameron surveys every tenth student who walks into school to determine the favorite type of movie of students in his school. what is the population,sample,random and representative.
Answers
Which of the following is a solution to the equation x^3=1/49? x=7^−2/3 x = 7^-3/2 X=7 2/3 This equation has no solution x=7 3/2
Answers
Step-by-step explanation:
x³=1/49
x= third root of 1/third root of 49
x=1/square root of 7
20 POINTS!!!!!! HELP PLEASE!!!!!!!
Answers
Answer:
umm???????????? let me try doin it
2(3x-5)+2y=12 find the slope intercept form
Answers
6x +10 + 2y = 12
6x + 2y = 2
3x + y
Answer: y=-3x+11
Step-by-step explanation: