Answer:
The largest possible value is 23
The smallest is 7
Step-by-step explanation:
To get the length of JL, we use the triangle inequality theorem
The theorem is that the sum of the measure of any two sides of a triangle must be greater than the measure of the third side of the triangle for the triangle to exist
With respect to this, 9 + 15 must be greater than JL
since JL is an integer ( integers are whole numbers); we have the following
9 + 15 = 24
JL is less than 24; so the nearest integer closest to 24 is 23
Now, let us get the smallest possible value
For the smallest possible value;
Let us call that x
9 + x > 15
15 + x > 9
From the first inequality;
x > 15-9
x > 6
The smallest integer greater than is 7
So the smallest possible value for JL is 7 and the largest is 23
Which statements are true about the graph?
Select all that apply.
Lucas borrows $3,500 at 2% for 6 years. How much does he have to repay at the end of the loan total?
Answer:
$3941.57.
Step-by-step explanation:
Given,
Principal,P = $3,500
rate of interest,r = 2%
Time, n = 6 years
Now, the total amount Luca has to repay is:
[tex]A = P(1+\frac{r}{100})^n[/tex]
A is the total amount.
[tex]A = 3500\times (1+\frac{2}{100})^6\\A = $3941.57[/tex]
Hence, the total money he has to repay is $3941.57.
An architect is making a plan for a new circular playground. If the playground needs to be surrounded by a fence and the diameter of the playground is 25 meters, how much fencing needs to go up?
Answer:
78.54 m
Step-by-step explanation:
To obtain how much circular fence, we obtain the Circumference of the circular playground.
The Circumference of a circle, C = 2*pi*r
pi = 3.14 ; r = diameter / 2 = 25 /2 = 12.5 m
C = 2 * 3.14 * 12.5
C = 78.539816
Hence, the fencing which need to go up is ;
78.54 m
The awnser to a multiplication problem
Answer:
where is the problem?
Step-by-step explanation:
where
Answer this question to get marked as brainliest!!!
Answer:
∠ R = 120°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 angles from 180 , that is
subtract 60 from 180
∠ R = 180° - 60° = 120°
The base of a triangular pyramid is 21 inches squared. The volume is 63 inches cubed. What is the height of the pyramid?
Answer:
9
Step-by-step explanation:
So the formula for a triangular pyramid is v=1/3bh
you plug in the values and you get 63=1/3(21)(h) and since you are finding the height, you get h=63*3/21
and then you check answers with
63=1/3(21)(9) which is true so the height is 9
Help!!
Find the volume. Around to the nearest Hundredth.
1326cm
1026.04mi
1526.82mi
6104.16mi
Answer:
V=1526.82 mi³
Step-by-step explanation:
The formula for the volume of a right circular cone is V=πr²(h/3).
The radius is half of the diameter of 18, so it is 9 mi.
The height is 18 mi.
Plug in your numbers into the formula.
V=π9²(18/3)
V=π81(6)
V=π486
V=1526.82 mi³
A Y U D E N P O R F A :(
Answer:
x=2
Step-by-step explanation:
Primero, necesitamos calcular <<a>>
Sabemos que AD=BC y AB=CD porque lados opuestos congruentes
Entonces, vamos a calcular <<a>>.
Usamos AD y BC
2a-1=4a-15
suma 15 a ambos lados
2a+14=4
añada 2 en ambos lados
14=2a
divida
7=a
Ahora, usamos esta información para calcular <<x>>
Usamos CD=AB
2a-8=4x-2
pero sabemos que <<a>> es 7
entonces:
14-8=4x-2
6=4x-2
8=4x
2=x
<<x>> es 2
(¡lo siento mi español no es perfecto!
The points (-1,r) and (11, -1) lie on a line with slope -3/4
Find the missing coordinate r.
Answer:
8
Step-by-step explanation:
y = (-3/4)x + c
Sub (11,-1) into the equtaion
-1 = (-3/4)(11) + c
c = 29/4
y = (-3/4)x + 29/4
when x = -1,
y = (-3/4)(-1) + 29/4
y = 8
r = 8
Find the area of the figure shown below:
a
34 square units
b
220 square units
c
480 square units
d
960 square units
Answer:
.................hshs
solve for slope / y intercept and equation please
In ΔPQR, the measure of ∠R=90°, the measure of ∠P=53°, and QR = 17 feet. Find the length of PQ to the nearest tenth of a foot.
Answer:
21.2863≈21.3 feet
Step-by-step explanation:
Answer:
21.3
Step-by-step explanation:
Which expressions are equivalent to -1/4(16−12+8x)?
Select all that apply.
A. 4+3−2x
B. 2x+1
C. −2x−1
D. x
E. −4+3−2x
F. 2x−
Step-by-step explanation:
Which expressions are equivalent to -1/4(16−12+8x)?
Select all that apply.
A. 4+3−2x
B. 2x+1
C. −2x−1
D. x
E. −4+3−2x
F. 2x−
Helpppp pleaseeeee and could you put an explenation??? pleaseeee
Answer:
Step-by-step explanation:
The angles would be supplementary
45 + 5x + 35 = 180
5x + 80 = 180
5x = 100
x = 20
To find out why they are supplementary, refer to the transversal below
∠3 = ∠7 (corresponding angles)
∠8 = 180 - ∠7 (supplementary angles)
And since ∠7 = ∠3...
∠8 = 180 - ∠3 which is why (in the problem) those two angles are supplementary (adding to 180 degrees)
To create a pattern with Legos, Jerry uses 5 green Legos for every 3 blue Legos. If he used 35 green Legos in the pattern, what is the TOTAL amount of Legos he used?
A.43 legos in all
B.8 legos in all
C.56 legos in all
D.21 legos in all
Answer:
56 legos in all
Step-by-step explanation:
35/5=7
7*3=21
21+35=56
Answer:
well i have legos in rl so i think the answer is C. or 56 legos in all
Step-by-step explanation:
Pls help what do I put for the answer
) The diagram shows a quadrant of a circle . If the curved edge is 15 cm long, what is the length of a straight edge?
Answer:
9.55 cm
Step-by-step explanation:
A quadrant of a circle is 1/4 of a circle.
Since the curved edge is 15 cm, a full circle would be 60 inches.
60/Pi = diameter
diameter = 60/3.14 = 19.11 cm
diameter/2 = radius
radius = 19.22/2 = 9.55 cm which is the length of a straight edge.
There are 32 females in a dance recital. This is the ratio men to women 3:8. How many men are at the dance recital????
Answer:
12
Step-by-step explanation:
Answer:
there are 12 men
Step-by-step explanation:
men:3×4=12
woman:8×4=32
If a =3, b = 2 and c = 5, solve the following algebraic expressions: (3 marks)
a) 3c + 5 - b
b) b(4 - 2) + c
c) 4a - (2c)
Answer:
A) 18
B)9
C)-2
Step-by-step explanation:
Replace the a,b or c with the give number. So let’s say it’s says 2 + a. It would be 2+3.
what is the greatest common factor of 12 and 26
Answer:
2
Step-by-step explanation:
The greatest common factor is 2
Answer:
2
Step-by-step explanation:
2 is the greatest number that will go into both 12 and 26.
Hope this helps
- Please mark brainliest :)
What is the value of the expression 20 ÷ 4 + (6 x 2) − 2?
15
17
22
28
The scores on a mathematics exam have a mean of 70 and a stadard deviation of 7. Find the x-value that corresponds to the z-score -1.45.
Answer:
59.85
Step-by-step explanation:
The scores on a mathematics exam have a mean of 70 and a stadard deviation of 7. Find the x-value that corresponds to the z-score -1.45.
We solve the above question using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 70
σ is the population standard deviation = 7
z = -1.45
Hence:
-1.45 = x - 70/7
Cross Multiply
-1.45 × 7 = x - 70
-10.15 = x - 70
x = -10.15 + 70
x = 59.85
help plz its worth 100 points
Answer:
Step-by-step explanation:
hi, use y=mx+b to help solve
the equation is y= 6x+30, 6 being the cost per t-shirt and 30 being the fee
substitute x for the values on the left in the table. for example, y=0x+30 would give the total cost of 0 t-shirts 30 dollars
for some reson i cant see it
Elia rode her bicycle from her house to the beach at a constant speed of 18 1818 kilometers per hour, and then rode from the beach to the park at a constant speed of 15 1515 kilometers per hour. The total duration of the rides was 1 11 hour and the distances she rode in each direction are equal. Let b bb be the number of hours it took Elia to ride from her house to the beach, and p pp the number of hours it took her to ride from the beach to the park.
Answer: hello your question is not well written but it seems you are asking for the Total distance covered during the rides hence i will give you a general solution
Total distance travelled during rides = 16.36 km
Total duration of rides = 1 hour
Step-by-step explanation:
Given that :
b = number of hours from house to beach
p = number of hours from beach to park
since the total duration of the rides = 1 hour
hence: b + p = 1 ------ ( 1 )
Also ; speed from house to beach = 18 km/hr
speed from beach to park = 15 km/hr
Given that distance covered in both directions are equal and distance = s * t
Hence distance covered : 18b = 15p ------ ( 2 )
determine the total distance travelled
b + p = 1 ------ ( 1 )
18b = 15 p ----- ( 2 )
from equation 1 : b = 1 - p
18 ( 1 - p ) = 15p
18 = 15p + 18p
p = 18 / 33 = 6/11
back to equation 1
b + 6/11 = 1
hence b = 1 - 6/11 = 5/11
Distance covered in one direction
18 ( 5/11 ) = 15 ( 6/11 )
90 / 11 = 90 /11
hence Total distance covered = ( 90 / 11 ) * 2 = 16.36 km
Gas from a local station costs $2.85 per gallon (in US dollars). Tara's car gets 13.4 kilometers to the liter.
About how much will it cost Tara to drive 640 kilometers if she buys the gas from that local gas station?
Answer:
$250.8
Step-by-step explanation:
13.4 = $2.85
13.4 x 15 = 111.0
111.0 = $42.75
111.0 x 6 = 666.0
666.0 - 26.0 = 640.0
$42.75 x 6 = $256.5
$2.85 x 2 = $5.07
$256.5 - $5.07 = $250.8
not gona lie this took forever lol
Hope this helps if so don't hesitate to 'Thanks' and/or 'brainliest' this answer!
The total cost of 640 liters of gas is $35.91.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Gas from a local station costs $2.85 per gallon (in US dollars).
We know that, 1 gallon = 3.785 liters
Tara's car gets 13.4 kilometers to the liter.
Number of liters of gas = 640/13.4
= 47.76 liters
Number of gallons = 47.76/3.785
= 12.6 gallons
Total cost = 12.6×2.85
= $35.91
Therefore, the total cost of 640 liters of gas is $35.91.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ2
Solve the following equation using the quadratic formula.
2x² + 5x – 42 = 0
Select all solutions that apply.
x = 1.5
x= -4
OX= 3.5
x = -6
There are 15 counters. One-third of the counters are yellow. How many
counters are yellow? *
Answer:
3
Step-by-step explanation:
15*1/5= 3
In 4 minutes, a conveyor belt moves 800 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt moves the same quantity of cans the same distance in 6 minutes. If both belts are used, find how long it takes to move the cans to the storage area.
Answer:
It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.
Step-by-step explanation:
Given - In 4 minutes, a conveyor belt moves 800 pounds of recyclable
aluminum from the delivery truck to a storage area. A smaller belt
moves the same quantity of cans the same distance in 6 minutes.
To find - If both belts are used, find how long it takes to move the cans
to the storage area.
Proof -
Given that,
Larger belt take 4 minutes to transfer the aluminium from delivery truck to storage area.
⇒ Time taken by Larger belt = 4 min/ shifting
Also,
Smaller belt take 6 minutes to transfer the aluminium from delivery truck to storage area.
⇒ Time taken by Smaller belt = 6 min/ shifting
Now,
As we know that Time is inversely proportional to time, so
Rate of Larger Belt = [tex]\frac{1}{4}[/tex] shifting/min
Rate of Smaller Belt = [tex]\frac{1}{6}[/tex] shifting/min
Now,
Let us assume that , if both belts used then,
Total time taken = x min/shifting
Then, Rate = [tex]\frac{1}{x}[/tex] shifting/min
Now,
[tex]\frac{1}{4}[/tex] + [tex]\frac{1}{6}[/tex] = [tex]\frac{1}{x}[/tex]
⇒[tex]\frac{6 + 4}{24} = \frac{1}{x}[/tex]
⇒[tex]\frac{10}{24} = \frac{1}{x}[/tex]
⇒10x = 24
⇒x = [tex]\frac{24}{10}[/tex] = 2.4 minutes
∴ we get
It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.
A 22.5 cm straw fits diagonally inside an 18 cm high can of soft drink what is the radius of the can
Answer:
6.75cm
Step-by-step explanation:
The straw fits diagonally inside the can so it makes a right angled triangle with height and base of the can ( which is the diameter of the can)
So, hypotenuse = length of straw = 22.5cm
perpendicular = 18cm
base = diameter of can(d)
Using pythagoras theorem
h² = p² + b²
(22.5)² = 18² + d²
506.25 = 324 + d²
d² = 506.25 - 324
d² = 182.25
d = 13.5cm
Now radius = d/2 = 13.5/2 = 6.75cm
Which is the graph of y= 2x-3?
Answer:
(A:
Step-by-step explanation:
EXAMPLE:
in Slope Intercept form, the letter x determines the slope of the line, where 0 makes the line horizontal and 1 makes the line at a 45 degree angle, in this case to go from x to x plus 1 you would climb y two times, so it takes two units to go one unit to the right, so x is multiplied by 2
the addition at the end of the formula resembles how high up or down the line crosses the y axis, if the number is positive, then the line crosses that amount higher then 0, if it were a negative number, it would cross that much lower
hope this makes sence, dont worry, once you understand how slope intercept form works, you will never forget it, good luck with ur studies :)
MEGA CREDITS to MisterZeng for double checking our work, thx m8 :D