Answer:
The length of the frame is 17
Step-by-step explanation:
The computation of the length of the frame is shown below:
As we know that
The perimeter of a rectangle is
= 2 (length + width)
where,
let us assume the width be x
So, the length is x - 6
And, the perimeter is 80 yards
So, now put these values to the above formula
80 yards = 2 (x - 6+ x)
80 yards = 2 (2x - 6)
80 yards = 4x - 12
92 = 4x
x = 23
So, the length of the frame is
= 23 - 6
= 17
Brian is on the swim team. Each day he swims 900 m. How many kilometers does he swim each day?
Answer:
he swims 0.9 kilometers each day.
Step-by-step explanation:
Answer:
He swims 0.9km each day.
Step-by-step explanation:
To convert m to km divide by 1000
900/1000 =0.9
The episodes of a TV program are each 40 minutes long. Phill watches four episodes together. How long is he watching TV for ? Give your answer in hours and minutes.
Answer:
He is watching TV for 2 hours and 40 minutes.
Step-by-step explanation:
We are given that the episodes of a TV program are each 40 minutes long. Phill watches four episodes together.
As it is stated that the length of each episode of a TV program is 40 minutes, so the length of four episodes is given by;
1 episode = 40 minutes
4 episodes = 4 [tex]\times[/tex] 40
= 160 minutes
So, the length of four episodes together is 160 minutes.
Now, we have to convert the time in hours and minutes;
As we know that 1 hour = 60 minutes
160 minutes = 120 minutes + 40 minutes
= 2 hours + 40 minutes
Hence, the length of four episodes together is 2 hours and 40 minutes.
b/11-6b/11=10/11 solve for b asap
I hope this helps you
b-6b/11=10/11
-5b=10 (divide -5 both of sides)
b=-2
16= -16h i have no clue what the answer is so ya :/
Answer:
Hey there!
-16h=16
Divide both sides by -16
h=-1
Hope this helps :)
Answer:
h = -1
Step-by-step explanation:
inverse operation:
16 = -16h
divide by -16 on both side
-1 = h
Solve for x.
0.3 (12x – 16) = 0.4(12 — 3x)
A: 2
B: -4
C: 4
D: -2
Answer:
Step-by-step explanation:
the answer is 2 if you go to the website www.tiger-algerbra.com>drill>0.3(12x-16)=0.4(12-3x)
The population of a small town can be described by the equation PN equals 4000+70n. Where n is the number of years after 2005. Explain in words what this equation tells us about how the population is changing.
Answer:
The current population (in 2005) is 4000 because it is the constant. The slope tells us how many people are added to the population, so 70 per year. For ex. 2008 (2008- 2005 = 3=> 3 x 70 = 210 => 210 + 4000 = 4210).
i. dont know what to do jesys chrusr
(1. - 2.9), (3, - 1.9), (3, 3), (1, 2)
Fallon connects the points to make a polygon. Which shape does she draw?
f
A
square
B
rectangle
С
trapezoid
D
parallelogram
In an isosceles triangle, the longest side measures c units. The other sides of the triangle measure a units. Which equation can be used to determine if the triangle is a right triangle?
a squared = c squared
2 a squared = c squared
a Superscript 4 Baseline = c squared
2 a = c
Answer:
2a² = c²
Step-by-step explanation:
Right triangles follow the Pythagorean Theorem, a² + b² = c². The hypotenuse (c) must be the longest of the sides. In the given triangle, both legs measure a units. So, a = b. Therefore, we have a² + a² = c² or 2a² = c².
The equation can be used to determine if the triangle is a right triangle is c² = 2a².
What is Pythagorean Theorem?The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagorean theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
The well-known Pythagorean Theorem states that the square on the hypotenuse of a right triangle equals the sum of the squares on its legs.
The longest side measures c units.
The other sides of the triangle measure a units.
As, we know that longest side is the Hypotenuse.
Using the Pythagorean Theorem
H² = P² + B²
c² = a² + a²
c² = 2a²
So, the Correct statement is c² = 2a².
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Riangle ABC is isoscelesGJ bisects ∠FGH and is a perpendicular bisector of FH. Triangle F G H is cut by perpendicular bisector G J. Line segments F J and J H are congruent. Angle F G J and J G H are both 30 degrees. What is true of triangle FGH? It is a right triangle. It is an obtuse triangle. It has exactly 2 congruent sides. It has exactly 3 congruent sides.
Answer:
It has exactly 3 congruent sides.
Step-by-step explanation:
Since ∠FGJ = ∠JGH = 30° and GJ is a perpendicular bisector of FH, ∠GJF = 90°. So in ΔFGJ, ∠FGJ + ∠GJF + ∠GFJ = 180°.
So, 30° + 90° + ∠GFJ = 180°
120° + ∠GFJ = 180°
∠GFJ = 180° - 120°
∠GFJ = 60°
Also, since GJ is the perpendicular bisector of FH, ∠GJH = 90°. So in ΔJGH, ∠JGH + ∠GJH + ∠JHG = 180°.
So, 30° + 90° + ∠JHG = 180°
120° + ∠JHG = 180°
∠JHG = 180° - 120°
∠JHG = 60°
Since ∠FGH = ∠FGJ + ∠JGH = 30° + 30° = 60°
Since ∠FGH = ∠GFJ = ∠JHG = 60°
So, ΔFGJ is an equilateral triangle. Since all its angles are equal, so also, all its sides are equal. So, ΔFGJ is congruent by SSS and AAA so its 3 sides are congruent.
So exactly 3 sides are congruent in ΔFGJ.
Answer:
It has exactly 3 congruent sides
Step-by-step explanation:
took the unit test on edg 2020
Side length of square = 4.5 in
Perimeter of square=
Answer:
18 in
Step-by-step explanation:
(4.5)(4)=18
Side Length * Sides = 18 in
Find the coordinates of
the missing endpoint if M
is the midpoint of AB.
A(4, -8) and M(5,-2)
Answer:
B = (6, 4)
Step-by-step explanation:
You know that the midpoint is calculated as ...
M = (A +B)/2
Solving this for B, we find ...
2M = A + B
B = 2M - A
Filling in the coordinate values, we get ...
B = 2(5, -2) -(4, -8) = (2·5-4, 2(-2)+8)
B = (6, 4)
Solve for b.
5 = b/2
Answer: b=10.
Step-by-step explanation: 5=b/2 b/2=5 2b/2=(5)(2) b=10
M is the midpoint of AB. If AM = 5x+10 & MB = 4x+16, find the value of AM
Answer:
[tex]AM =40[/tex]
Step-by-step explanation:
Given
[tex]AM = 5x + 10[/tex]
[tex]MB = 4x + 16[/tex]
Required
Determine AM
Since M is the midpoint, we have that;
[tex]AM = MB[/tex]
Substitute values for AM and MB
[tex]5x + 10 = 4x + 16[/tex]
Collect Like Terms
[tex]5x - 4x = 16 - 10[/tex]
[tex]x = 6[/tex]
To solve for AM; substitute 6 for x in [tex]AM = 5x + 10[/tex]
[tex]AM = 5 * 6 + 10[/tex]
[tex]AM =30 + 10[/tex]
[tex]AM =40[/tex]
Solve for m: am/c = n
Hey there! I'm happy to help!
We want to get m all by itself on one side of the equation. To do this, we use inverse operations on both sides of the equation to cancel out variables on one side to isolate m.
am/c=n
We multiply both sides by c.
am=nc
We divide both sides by a.
m=(nc)/a
I hope that this helps! Have a wonderful day! :D
Select all expressions that are equivalent to 6(b+2)-b. A) 5b+12 B) 7b+8 C) 6b+8-b D) 5b+8 E) 6b+12-b
Answer:
A, E
Step-by-step explanation:
Wanted expression: 6(b+2)-b
Let's factorise each expression and make it look like the wanted expression as much as possible.
A: 5b+12
In this case we do not have a "-b" at the back, to make it similar to the given expression we can insert a "-b" at the back while adding 1 b to the front (5b) of the expression.
6b+12-b
6(b+2)-b
B: 7b+8
8b+8-b
8(b+1)-b
C: 6b+8-b
2(3b+4)-b
D: 5b+8
6b+8-b
2(3b+4)-b
E: 6b+12-b
6(b+2)-b
The 2 expressions out of A-E that are the same as the wanted expression are A and E.
hope this helps :))
ALG II NEED HELP QUICK WILL MARK BRAINLIST
Answer:
type the question that is the answer
Step-by-step explanation:
10. Undefined slope and contains the point (7,2)
in standard form.
m
Please help and show work .
Answer:
x = 7
Step-by-step explanation:
A vertical line has undefined slope.
The equation of a vertical line is x = b, where b is the x-coordinate of all points on the line.
We are told the line contains point (7, 2) with x-coordinate 7, so all points on this line have x-coordinate 7, and the equation of the line is
x = 7
Which equation describes a line that passes through (-6,8) and is perpendicular to the line described by y=2x-4
Step-by-step explanation:
Hey, there!!
The given is a point (-6,8) through which a line passes. And is perpendicular to the line y = 2x-4
The equation for point (-6,8) is,
(y-8)= m1(x+6)...........(i)
and given equation is y = 2x-4............(ii)
Now, from equation (ii).
slope (m2)= 2 { as equation (ii) is in the form of y= mx+c where m is a slope}.
Now, For perpendicular,
m1×m2= -1
m1×2= -1
[tex]m1 = \frac{ - 1}{2} [/tex]
Therefore, m1 = -1/2.
Putting, the value of m1 in equation (i).
(y-8) = -1/2×(x+6)
2(y-8)= -1(x+6)
2y - 16 = -x -6
x+2y-10 = 0......... is the required equation.
Hope it helps...
what is 20c + 8d + 10c - 5d simplified?
Answer:
30c +3d
Step-by-step explanation:
20c + 8d + 10c - 5d
Combine like terms
20c+10c +8d - 5d
30c +3d
Answer:
30c + 3d
Step-by-step explanation:
20c + 10c = 30c
8d - 5d = 3d
= 30c + 3d
The speed of sound through glass is 1.63 × 10 4 kilometers per hour. Expressed in standard form, how many kilometers per hour is that? 0.000163 1.6300 16,300 163,000
Answer:
16,300
Step-by-step explanation:
Answer:
the answer is 16,300
Step-by-step explanation:
hope this answer helps
The width of a rectangle measures (5.5d+9.7f)(5.5d+9.7f) centimeters, and its length measures (5.1d-3.5f)(5.1d−3.5f) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle? A. 21.2d+12.4 B. 9.7−7f+21.2d C. 21.2d+12.4f D. 6.2+10.6d
Answer: C. 21.2d+12.4f
Step-by-step explanation:
Given, The width of a rectangle measures[tex](5.5d+9.7f)[/tex] centimeters, and its length measures [tex](5.1d-3.5f)[/tex] centimeters.
Perimeter of rectangle = 2 (length + breadth)
[tex]= 2 ((5.5d+9.7f)+ (5.1d-3.5f) )\\\\=2 (5.5d+9.7f+5.1d-3.5f)\\\\= 2(5.5d+5.1d+9.7f-3.5f)\ \ \ [\text{Combine like terms}]\\\\= 2(10.6d+6.2f)\\\\= 21.2d+12.4f\ \ \ [\text{Multiply 2 inside the bracket}][/tex]
Hence, the correct option is C. 21.2d+12.4f .
A random sample of individuals living in a country reveals that most of its population is between the ages 0 and 29. What would this country's age pyramid look like?
Step-by-step explanation:
The Population pyramids or the age pyramid visualizes the demographic structure of any population. It is the graphical illustration which shows the distribution of the various age groups in the population.
The width of the pyramid represents the size of a population for a given age. Men are shown to the left and the women on the right.
The population pyramid between the age group will look like a pyramid with a very large width at the bottom and narrowing top.
In a survey, 3 out of 5 people preferred rice to noodles. If 75 people were
surveyed, how many preferred rice?
Will award the brainlest
Answer:
45 people
Step-by-step explanation:
3/5 x 75 = 45, therefore, 45 people out of 75 preferred rice to noodles.
Answer:
45 prefer rice out of 75 surveyed.
Step-by-step explanation:
75 divided by 5 is 15. 15 x 3 = 45!
3/5 = 45/75
4. Kennedy buys a computer that was reduced in a sale by 10%. If the sale price of the
computer is now N$11 480. 50, what was the original price of the computer?
Answer:
N$12 576. 11
Step-by-step explanation:
Loss%=10%
S.P= N$11 480.50
C.P =?
Loss%=100(C.P - S.P)/C.P
10=100(C.P-11 480.50)/C.P
10C.P=100C.P - 1 148 050
1 148 050=100C.P - 10C.P
1 148 050=90C.P
C.P=N$12 576.11
HELP ME PLEASE IM NOT GOOD AT MATH!!!! 4
Answer:
The answer should be 1/12 because a a cube has 6 sides rolling it twice would make it 12.
Hope This Helps!
Nancy put 80 acorns in her backyard. Then, she made a graph of how many acorns different types of squirrels
ate.
how many acorns were left after the squirrels ate?
Answer:
16
Step-by-step explanation:
If we take the partial image to be 1/2 of a full image, then there are a total of
5 1/2 + 2 + 6 + 2 1/2 = 16
acorn images on the graph. Each image represents 4 acorns, so a total of ...
4 × 16 = 64
acorns are represented on the graph. Since these are ones the squirrels ate, the remaining 80 -64 = 16 acorns were left uneaten.
The length of a rectangle is 3 inches. Enter an expression for the area of the rectangle if the width is w inches. Find the area of the rectangle when the width is 1, 2 , 3, and 26 inches
Answer:
An expression for the area of the rectangle if the width is w inches is
[tex]A =[/tex] 3w
when the width is 1 inch, Area = 3 square inches (in²)
when the width is 2 inches, Area = 6 square inches (in²)
when the width is 3 inches, Area = 9 square inches (in²)
when the width is 26 inches, Area = 78 square inches (in²)
Step-by-step explanation:
The area of a rectangle is given by
[tex]A = l[/tex] × [tex]w[/tex]
Where [tex]A[/tex] is the area of the rectangle
[tex]l[/tex] is the length of the rectangle
and [tex]w[/tex] is the width of the rectangle
From the question,
length, [tex]l[/tex] = 3 inches
width, [tex]w[/tex] = w inches
Hence, An expression for the area of the rectangle is
[tex]A =[/tex] 3 × w
[tex]A =[/tex] 3w
Now, to find the area of the rectangle when the width is 1, 2 , 3, and 26 inches
1. when the width is 1 inch (That is [tex]w[/tex] = 1 inch)
Then, [tex]A =[/tex] 3w
[tex]A =[/tex] 3 × 1
[tex]A =[/tex] 3 square inches (in²)
2. when the width is 2 inches (That is [tex]w[/tex] = 2 inches)
Then, [tex]A =[/tex] 3w
[tex]A =[/tex] 3 × 2
[tex]A =[/tex] 6 square inches (in²)
3. when the width is 3 inches (That is [tex]w[/tex] = 3 inches)
Then, [tex]A =[/tex] 3w
[tex]A =[/tex] 3 × 3
[tex]A =[/tex] 9 square inches (in²)
4. when the width is 26 inches (That is [tex]w[/tex] = 26 inches)
Then, [tex]A =[/tex] 3w
[tex]A =[/tex] 3 × 26
[tex]A =[/tex] 78 square inches (in²)
15 divided by 4 and 1/6
Answer:
15÷4÷1/6.
first of all change ÷ to ×.
which will be 15×1/4×6/1.
which will be 15×1/2×3.
which is 15×3=45/2.
the answer is 22.5 or 22 whole number 1/2.
15 divided by 4 and 1/6 is equal to 18/5 or 3 and 3/5.
To divide 15 by 4 and 1/6, we can convert the mixed number 4 and 1/6 into an improper fraction.
4 and 1/6 can be written as (4 x 6 + 1) / 6 = 25/6.
Now, we can divide 15 by 25/6:
15 ÷ (25/6) = 15 x (6/25)
= (15 x 6) / 25
= 90/25.
Now, the fraction 90/25 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 5:
= 90/25
= (90 ÷ 5) / (25 ÷ 5)
= 18/5.
Therefore, 15 divided by 4 and 1/6 is equal to 18/5 or 3 and 3/5.
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You need to purchase a new windshield for your vehicle. The quote is $309.99 with an additional 6.25% tax. What is the total cost of the windshield replacement? (hint figure out how much tax there will be and add it to your payment) (use a $ in your answer and round to two decimal places)
Answer:
$329.36
Step-by-step explanation:
Multiply the price by 1.0625 to find the total cost:
309.99(1.0625)
= $329.36