Final answer:
To calculate the total length of the boards, the first board at 47/100 meters (0.47 meters) is added to the second board at 5/10 meters (0.5 meters), resulting in a total length of 0.97 meters.
Explanation:
To find the total length of the two boards placed end to end, we simply add the lengths of the individual boards. The first board is 47/100 meters long, and the second board is 5/10 meters long.
The second board's length can be simplified as 5/10 is equivalent to 1/2, which is 0.5 in decimal form. Adding the lengths together, we get:
Length of board 1: 47/100 meters (or 0.47 meters)
Length of board 2: 5/10 meters (or 0.5 meters)
Total length = 0.47 meters + 0.5 meters
Total length = 0.97 meters
Therefore, the total length of the two boards when placed end to end is 0.97 meters.
what fraction would you add to 29/6 to make 4
What value is equivalent to ∣ −14 ∣?
How do you solve 7.2>0.9(n+8.6)
After solving the given equation, the value obtained for n will be equal to n < -0.6.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the equation given in the question,
7.2 > 0.9(n + 8.6)
Solve the equation for n,
7.2 > 0.9n + 7.74
7.2 - 7.74 > 0.9n
-0.54/0.9 > n
-0.6 > n or,
n < -0.6
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PLEASEEEEE HEEEEEELPPPPPPPPPPPPPPP
Suppose ABCD is a rhombus such that the angle bisector of ∠ABD meets AD at point K. Prove that m∠AKB = 3m∠ABK.
1. Let m∠ABK=x°. Since line BK bisects ∠ABD, then
m∠ABK=m∠KBD=x°.
Also m∠ABD=m∠ABK+m∠KBD=2x°.
2. The diagonal BD of rhombus ABCD bisects ∠ABC, then
m∠ABD=m∠DBC=2x°.
This gives you that
m∠ABC=4x°.
3. Angles A and B are supplementary, so
m∠A+m∠B=180°,
m∠A=180°-4x°.
4. Consider triangle ABK. The sum of the measures of interior angles in triangle is always 180°, thus
m∠A+m∠ABK+m∠AKB=180°,
m∠AKB=180°-x°-(180°-4x°),
m∠AKB=3x°=3m∠ABK.
Answer:
Given information: ABCD is a rhombus, angle bisector of ∠ABD meets AD at point K.
[tex]\angle ABK\cong \angle DBK[/tex] (Definition of angle bisector)
[tex]m\angle ABK=m\angle DBK[/tex] (Definition of concurrency)
Let as assume the measure of angle ABK is x.
[tex]m\angle ABK=x[/tex]
[tex]m\angle ABD=m\angle ABK+m\angle DBK[/tex]
[tex]m\angle ABD=x+x[/tex]
[tex]m\angle ABD=2x[/tex]
All sides of a rhombus are same.
Since AB=AD, therefore ABD is an isosceles triangle and two angles of an isosceles triangle are congruent.
[tex]m\angle ADB=m\angle ABD[/tex]
[tex]m\angle ADB=2x[/tex]
According to exterior angle theorem, sum of two interior angles of a triangle is equal to third exterior angle.
Using exterior angle theorem, we get
[tex]m\angle AKB=m\angle ADB+m\angle DBK[/tex]
[tex]m\angle AKB=2x+x[/tex]
[tex]m\angle AKB=3x[/tex]
[tex]m\angle AKB=3(m\angle ABK)[/tex]
Hence proved.
×
[tex] \frac{x}{4} = \frac{6}{12} [/tex] solve the proportions
What does x equal (x/4)+12=38
What is the value of the leading coefficient a if the polynomial function P(x) = a(x + b)2(x − c) has multiplicity of 2 at the point (−3, 0) and also passes through the points (2, 0) and (0, 36)?
answers:
−2−3336
A total of
276
tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?
Final answer:
The number of adult tickets sold for the school play was 92, found by setting up an equation where the number of adult tickets plus twice the number of adult tickets equals the total of 276 tickets sold.
Explanation:
Calculating the Number of Adult Tickets Sold
The student is asked to find out how many adult tickets were sold for the school play, given that a total of 276 tickets were sold and the number of student tickets was two times the number of adult tickets sold. Let's denote the number of adult tickets as x and the number of student tickets as 2x. The total number of tickets is the sum of adult and student tickets which can be represented as:
x + 2x = 276
Combining like terms, we get:
3x = 276
To find the value of x, we divide both sides by 3:
x = 276 / 3
x = 92
Therefore, the number of adult tickets sold was 92.
Can I have help with this please?
Try this:
2. 2.5/5=16/32; 2/4=16/34.
3. one - 6;6;6; two - 6;8;10; three - 5;10;12.
Twenty, which is 4 more than half, of the students in Bryan’s homeroom have tickets to attend the school’s musical. Choose Yes or No to tell whether each of the following equations can be used to find the number of students in Bryan’s homeroom.
The equations that can be used to find students with tickets is given as m/2 + 4 = 20. The correct options are (B) and (D).
How to write a linear equation?A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.
Suppose the number of students in homeroom be m.
Then, as per the question the equation can be written as,
m/2 + 4 = 20
It can also be written as,
4 = 20 - m/2
Hence, the required equation for the given case is m/2 + 4 = 20.
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The complete question with all the options is attached here.
NAME_____________________________________DATE_________________PER._______
TRAPEZOIDS
RSTV is an isosceles trapezoid. Decide whether each statement is TRUE or FALSE.
Justify your answer.
1. TRUE or FALSE
Why?
TR ⊥ SV
2. TRUE or FALSE
Why?
∠RVT ≅ ∠STV
3. TRUE or FALSE
Why?
∠SRV & ∠TVR are
supplementary.
WXYZ is an isosceles trapezoid with bases WZ and XY and median MN. Use the given
information to solve each problem.
4. MN = ____________ Find MN if WZ = 11 and XY = 3.
5. m∠XMN = ____________ Find m∠XMN if m∠WZN = 78°.
6. XY = ____________ If MN = 10 and WZ = 14, find XY.
7. x = ____________ What is the value of ‘x’ if m∠MWZ = (15x –5)° and m∠WZN = (90 – 4x)°?
8. x = ____________ If m∠XWZ = (2x – 7)° and m∠XYZ = 117°, find
the value of ‘x’.
9. x = ____________ If MN = 60, XY = 4x – 1, and WZ = 6x + 11, find
the value of ‘x’.
10. x = ____________ If MN = 10x + 3, WZ = 11, and XY = 8x + 19,
find the value of ‘x’.
11. x = ____________ If MN = 2x + 1, XY = 8, and WZ = 3x – 3, find
the value of ‘x’.
Can someone do this for me? im having a hard time and I have a 42 in math rn and I just need these done cause they are late.. if anyone likes geometry then here you go
Answer:NAME: Nzube Erobu DATE: 02/ 06 / 2020
Step-by-step explanation: With reference to the attached document, below:
1) False, the lines linking between TR and SV are diagonals
2) True, ∠RVT = ∠ STV because they have the same right angled triangles.
3) True, because they separate triangles that have all angles in each triangle summing up to 180°
4) (11 + 3)/2 = 14/2= 7
7) (15x - 5)° + (90 - 4x)° = 180°
(15x - 4x + 90 - 5)° = 180°
( x + 85)° = 180°
∴ x = 180° - 85° = 95°
8) (2x - 7)° + 117° = 180°
2x° +117° - 7° = 180°
2x° + 110° = 180°
2x = 180° - 110°
∴ x = 70°/2 = 35°
9) 4x - 1 + 6x + 11 = 60
4x + 6x + 11 -1 = 60
10x + 10 = 60
10x = 60 - 10 = 50
∴ x = 50/10 = 5
10) 18x + 19 - (10x + 3) = 11
18x - 10x + 19 - 3 = 11
8x + 16 = 11
8x = 11 - 16 = - 5
∴ x = - 5/8
11) 2x + 1 + 3x - 3 = 8
2x + 3x - 3 + 1 = 8
5x - 2 = 8
5x = 8 + 2= 10
∴ x = 10/5 = 2
Two ships leave the same port in different directions, forming a 120° angle between them. One ship travels 70 mi. and the other 52 mi. before they each drop their anchors. What is the distance between the ships to the nearest mile?
Answer : Distance between the ships to the nearest miles = 106.03 ≈ 106 mi.
Explanation :
Since we have shown in the figure below :
a=70 mi.
b=52 mi.
c=x mi.
[tex]\text{Since two ships leaves the same port in different directions forming a }120\textdegree\text{angle between them.}[/tex]
So, we use the cosine rule , which states that
[tex]c^2=a^2+b^2-2ab.cosC\\\\x^2=70^2+52^2-2\times 70\times 52\times cos(120\textdegree)\\\\x^2=4900+2704-7280\times (-0.5)\\\\x^2=7604+3640\\\\x^2=11244\\\\x=\sqrt{11244}\\\\x=106.03[/tex]
So, c = x= 106.03 mi.
Hence, distance between the ships to the nearest miles = 106.03 ≈ 106 mi.
Algebra Functions and Data Analysis
The sum of the reciprocals of two consecutive even integers is 7/24. Write an equation that can be used to find the two integers. Find the two integers.
10 Points Here come get them
What is decomposing fractions
Explanation:
"Decomposing fractions" means breaking them into a sum of fractions, often unit fractions (fractions with a numerator of 1). Here are a few examples:
3/8 = 1/8 + 1/8 + 1/8
5/6 = 1/2 + 1/3
3/4 = 1/2 + 1/4
Solve for x: x^4 = 3^x
Does 3pi/5 have a supplementary angle?
f(x)=x^2-2x-1 and g(x)=5x-1/7x-3
find f(x+7) and g(x/2)
If an object is projected upward with an initial velocity of 125 125 ft per sec, its height h after t seconds is h equals negative 16 t squared plus 125 t h=−16t2+125t. Find the height of the object after 5 5 seconds.
Your cousin has a goat in his backyard, tied with a 4 foot rope. The goat can move in a circular motion the length of the rope. What is the area of the backyard where his goat can eat the grass? Hint: The 4 foot rope represents the radius of the circle.
1. What equation can be used to calculate the area of the yard that his goat can eat the grass?
2. What is the area of this circle in your cousin’s backyard?
3. What would the new area be if he decides to use a 5 foot rope?
Two mechanics can assemble 10 bicycles in 8 hours. How many bicycles could one mechanic assemble in 8 hours?
Answer:
5 bicycles
Step-by-step explanation:
In the same time period (8 hours), half as many mechanics can assemble half as many bicyles: 10/2 = 5.
For which set of lines is it reasonable to state that The two lines are ALMOST perpendicular to each other? A) y = 2.1x + 3, y = 2.1x + 5 B) y = 0.9x + 5, y = -1.26x + 8 C) y = 5x + 1.25, y = -5x + 1.25 D) y = 3 4 x + 0.28, y = 4 3 x + 0.29
Which term is the perfect square of 3x4 ?
Answer:
just took the test answer is D
Step-by-step explanation:
152.5225 to two decimal places
Which of the following is equivalent to the expression below?
(8x + 10) + (13 - 8x)
A.
3
B.
8x + 23
C.
16x + 23
D.
23
state the degree of the polynomial xy+3x2-7+x
How to find the x intercepts of f(x)=-2x^2+x+5
What is the equation for the vertical asymptote of f(x)= (x+2)/(4x+4)
if y = 6x - 3 which of the following see represents possible inputs and outputs of the function represented as ordered pairs