Given 1,000 inches, how many feet are there?
Answer:
1000 inches / 12
=83.33... feet
Answer:
83.3333 feet
Step-by-step explanation:
In isosceles triangle ABC the segment BD with D a point on AC is the median to the base AC. Find BD if the perimeter of ABC is 50m and the perimeter of ABD is 40m
Given:
In isosceles triangle ABC, consider AB=BC and the segment BD with D a point on AC is the median to the base AC.
Perimeter of ABC is 50m and the perimeter of ABD is 40m.
To find:
The length of BD.
Solution:
In isosceles triangle ABC the segment BD with D a point on AC is the median to the base AC.
[tex]AB=BC[/tex] ...(i)
[tex]AD=CD[/tex]
[tex]AC=2AD[/tex] ...(ii)
Perimeter of ABC is 50m.
[tex]AB+BC+AC=50[/tex]
[tex]AB+AB+2AD=50[/tex] [Using (i) and (ii)]
[tex]2AB+2AD=50[/tex]
[tex]2(AB+AD)=50[/tex]
Divide both sides by 2.
[tex]AB+AD=25[/tex] ...(iii)
Now, perimeter of ABD is 40m.
[tex]AB+AD+BD=40[/tex]
[tex]25+BD=40[/tex] [Using (iii)]
[tex]BD=40-25[/tex]
[tex]BD=15[/tex]
Therefore, the length of BD is 15m.
Could you guys help me solve 9 I would appreciate it :)
Answer:
Step-by-step explanation:
12<18/3(-2)+12 turns into 12<18/-6+12
False
brainiliest if u are right 2. Solve the following equation.
-7 + a = 28
A. 35
B. -4
C. 21
D. -35
Answer:
c
Step-by-step explanation:
7 plus 7 equals 28 and 28 minus 7 equals 21
Input -13,20,0,-4,11,-1,17,?
Output-15,-11,-9,-2,-1,5,5,13
what numbers can be placed into the empty cell so the table of values satisfies the definition of the function
these are the select answers
-5
-1
0
2
11
17
Answer:
I dont get it if u put options it will be helpful
Step-by-step explanation:
pls dont be mad have a wonderful day :D
At an intersection, the red light of route A is red for 60 seconds and the other two lights are red for 45 and 75 seconds, respectively. What is the probability that a car traveling from route A will encounter a red light at an intersection?
Answer:
1/3
Step-by-step explanation:
The probability of an event E in a sample space S is P(E) = desired outcome/total number of possible outcomes.
The probability of encountering a red light at the intersection P(red light on) = time it takes red light to stay on/total time all the lights stay on, where desired outcome = time it takes red light to stay on on route A and total number of possible outcomes = total time all the lights stay on.
Since all the other two lights have to come on after the red light goes off and before the red light comes on again, and the red light has to be on to encounter it at an intersection.
So, P(red light on) = 60 s/(60 s+ 45 s+ 75 s)
= 60 s/180 s
= 1/3
Directions: Fill in all blank spaces in the table. Show all work below the table or on a separate sheet of paper. If needed, round your answer to the nearest tenth.
Answer:
# of sides [tex]{}[/tex] Interior One Interior Angle Exterior One
[tex]{}[/tex] Angle Sum Angle Sum Exterior Angle
14 [tex]{}[/tex] 2,160° 154.3° 360° 25.714°
24 [tex]{}[/tex] 3,960° 165° 360° 15°
8 [tex]{}[/tex] 1,080 135° 360° 45°
30 [tex]{}[/tex] 5,040 168° 360° 12°
12 [tex]{}[/tex] 1,800 150° 360° 30°
Step-by-step explanation:
Please find attached the table of values calculated with Microsoft Excel
From the given table, we have the formula for the following parameters;
Number of sides = n
Interior Angle Sum = 180×(n - 2)
Measure of ONE Interior = 180×(n - 2)/n
Angle (regular polygon)
Exterior Angle Sum = 360°
Measure of ONE Exterior = 360°/n
Angle (regular polygon)
1) When n = 14, we have;
The interior Angle Sum = 180×(14 - 2) = 2,160°
The measure of one Interior angle (regular polygon) ; 180×(14 - 2)/14 ≈ 154.3°
The exterior angle sum = 360°
The measure of one exterior angle (regular polygon) = 360°/14 ≈ 25.714°
2) When n = 24, we have;
The interior Angle Sum = 180×(24 - 2) = 3,960°
The measure of one interior angle (regular polygon); 180×(24 - 2)/24 = 165°
The exterior angle sum = 360°
The measure of one exterior angle (regular polygon) = 360°/24 = 15°
3) When the interior angle sum = 180×(n - 2) = 1,080°, we have;
n = 1,080°/180° + 2 = 8
n = 8
The measure of one interior angle (regular polygon); 180×(8 - 2)/8 = 135°
The exterior angle sum = 360°
The measure of one exterior angle (regular polygon) = 360°/8 = 45°
4) When the interior angle sum = 180×(n - 2) = 5,040°
n = 5,040°/180° + 2 = 30
n = 30
The measure of one interior angle (regular polygon); 180×(30 - 2)/30 = 168°
The exterior angle sum = 360°
The measure of one exterior angle (regular polygon) = 360°/30 = 12°
5) When the measure of one interior angle (regular polygon), 180×(n - 2)/n = 150°, we have;
180°·n - 2×180° - 150°·n = 0
30°·n = 360°
n = 360°/30° = 12
n = 12
The exterior angle sum = 360°
The measure of one exterior angle (regular polygon) = 360°/12 = 30°
A pitcher holds 3 liters of lemonade. If the contents of the pitcher are equally divided among 8 people, how much lemonade will each person receive?
Answer:
0.375 litres
Step-by-step explanation:
Given that:
Total amount of lemonade held by pitcher = 3 litres
Number of people in which lemonade is to be given equally = 8
Amount of Lemonade received by each person will be:
Total amount of lemonade / number of persons
3 litres / 8
= 0.375 litres
Each person receives 0.375 litres of lemonade
Rewrite 12/20 with the denominator of 100
Explain how to get it
Find the measure of angle 4.
m∠4= ?
Answer:
38°
Step-by-step explanation:
[tex]m\angle 4 = 180° - [62\degree + (62\degree + 18\degree)] \\\\
m\angle 4 = 180\degree - [62\degree + 80\degree] \\\\
m\angle 4 = 180\degree -142\degree \\\\
m\angle 4 = 38\degree \\\\
[/tex]
Find the GCF (30,45)
Hey there! I'm happy to help!
The Greatest Common Factor is self-explanatory: it is the largest factor that both numbers have in common. Let's look at the factors of each of these numbers:
30: 1, 30, 2, 15, 3, 10, 5, 6
45: 1, 45, 3, 15, 5, 9
We see that the largest number they both have in common is 15, so the GCF is 15.
Have a wonderful day! :D
resolve into factors (4a+b)(4a-b)
Answer : [tex]16^a - b^2[/tex]
[tex](4a + b) (4a - b )[/tex]
[tex]= (4a + b) (4a - b )[/tex]
[tex]= (4a) (4a) + ( 4a) (-b) + (b)(4a) + (b) (-b)[/tex]
[tex]= 16^a - 4ab + 4ab - b^2[/tex]
[tex]= 16^a - b^2[/tex]
Find the slope of the line that would pass through the ordered pairs below.
(-7, 9) and (14, -18)
need help please?????
22. Evaluate the expression 1x2 + 2x +1 when
x = -5.
perform the indicated operation :-1)( 1)(2)(2)(-2)
Answer:
8
Step-by-step explanation:
The indicated operation is multiplication, therefore:
-1 × 1 × 2 × 2 × -2 = 8
Find (f - g)(x)
f(x) = 3x2 – 2x
g(x) = 9x2 - X+7
A. -6x2 - x-7
B. 6x2 – x+7
C. 12x2 - x-7
D. -6x2 – 3x-7
Answer:
A
Step-by-step explanation:
We have the two functions:
[tex]f(x)=3x^2-2x\text{ and } g(x)=9x^2-x+7\\[/tex]
And we want to find:
[tex](f-g)(x)[/tex]
This is equivalent to:
[tex]=f(x)-g(x)[/tex]
Hence, by substitution:
[tex]=(3x^2-2x)-(9x^2-x+7)[/tex]
Distribute:
[tex]=(3x^2-2x)+(-9x^2+x-7)[/tex]
Rearrange:
[tex]=(3x^2-9x^2)+(-2x+x)+(-7)[/tex]
Combine like terms:
[tex]=-6x^2-x-7[/tex]
Hence, our answer is A.
Answer:
Step-by-step explanation:
3x^2 - 2x - 9x^2 + x - 7
-6x^2 - x - 7
answer is A
A truck moves 3 km in 30 min and and returns at same distance in 20 min find average speed
Answer:
Step-by-step explanation:
the truck mover 3 km one way, 3 km back, so he moves 6 km
one way the truck needs 30 min, on the way back 20 min
so we have 6 km in 50 min
v=distance/time
v one way=3km/30 min=0.1 km/min
v on the way back=3 km/20min=0.15 km/min
v average =0.1+0.15=0.125 km/min
or 7.5 km/hour
Need the answer asap!
Answer:
--> (-7)+3 = -4
--> (-5) +1=-4
-->(-3)+(-1)=-4
Answer:
(x+3)x(x-2)
Step-by-step explanation:
solve the system of equations
y=-2/3x+1 and x+y=4
Answer:
Point form: (9,-5)
Step-by-step explanation:
y=-2/3x+1 and x+y=4
Point form: (9,-5)
Equation form: x = 9, y = -5
What is the common ratio for this sequence? 40, 36, 32.4, 29.16 A) 1.1 B) 0.5 C) 2.2 D) 0.9
Answer:
D) 0.9
Step-by-step explanation:
The common ratio of a sequence is the amount you multiply a term by to get the next one. To find this number divide the second term by the first term, so 36/40. This will give you 0.9, to check your answer take the first term and multiply it by the common ratio a few times; you should get the exact sequence listed in the question.
Jeremy can type 220 words in 4 minutes. That means he can type how many words per minute?
Answer:
55
Step-by-step explanation:
220 divided by 4, is 55.
Please help me...................thanks
Answer:
C
Step-by-step explanation:
Given:
R, S, T are midpoints of , , and .
If the perimeter (distance around) of ABC is 20, then the perimeter of RST is
5
10
15
Answer:
10 since its half of the original
Jill spent half of the money she saved to buy a video game. To earn more money her parents let her wash the car and do other chores for $20. How much money did she have saved if she now has $50.
VALID ANSWERS ONLY OR YOU GET REPORTED.
Answer:
Step-by-step explanation:
She has $50 and before she earn $20 had $50-$20=$30
so she had $60
payed for video game $30 now has $30
earn from parents $20 now has $50
If she would not bye the video game she would have had $80 saved
Anyone know this?need help ASAP
Answer:
45
Step-by-step explanation:
I used Toa to figure it out. First I did Tan(32) times 13 and got 45.
Find the length of RS 40 10 9 8 A. 73 units B. About 8.5 units C. About 3.3 units D. 11 units
Answer:
4,9
Step-by-step explanation:
Answer:
It's B
Step-by-step explanation:
Twenty (20) is what percent of 10% of 4,000?
Answer:
400
Step-by-step explanation:
Answer:
5%
Step-by-step explanation:
I need help ASAP!!!!
Answer:
12/50 - 6/25 The simplest form in 6/25
Hope This Helps!
Write 23/6 as a mixed number.
Answer: 3 5/6
Step-by-step explanation:
A mixed number takes the whole number out of the improper fraction. The whole number 3 can be taken out of 23/6 (18/6). Then, there is a remainder of 5/6. Add the two together and the mixed number would be 3 5/6.
23/6 as a mixed number is [tex]3\frac{5}{6}[/tex]
What is Fraction?A fraction represents a part of a whole.
We have to write 23/6 as a mixed number
Divide the numerator (23) by the denominator (6) and write the result as a whole number plus a fraction
23 ÷ 6 = 3 with a remainder of 5
So, 23/6 is equal to 3 and 5/6 as a mixed number.
Hence, 23/6 as a mixed number is [tex]3\frac{5}{6}[/tex]
To learn more on Fractions click:
https://brainly.com/question/10354322
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