Answer:
5.53408980773 or 5.534
Step-by-step explanation:
Let's take AD as a, AB as b and DB as c
a2+b2 =c2
(8.98)2 + (6.47) 2 =c2
80.6404 + 41.8609 =c2
The number 2 is square . take it like square
122.5049 =c2
[tex] \sqrt{c \: \: } = \sqrt{122.5049 } [/tex]
C=11.0681796155
this valse is DB but the question say EB so dividend by 2 because rectangle diagonal are equal
So EB =11.0681796155/2
EB =5.5340890773
Anthony scored 28 points in a recent basketball game. He made a total of 12 baskets. How many 2 and 3 point shots did he make? (Consider only the 2 and 3 point shots: no free throws)
Answer:
8 2-point shots and 4 3-point shots
Step-by-step explanation:
Anthony scored 28 points with 12 baskets. Saying that, (with x-y representing 2 point shots-3 point shots) any combination with a supermajority (at least 75% of) of either shot is out. This leaves just 5 possible combinations. 8-4, 7-5, 6-6, 5-7, and 4-8. Multiply the first number by 2 and the second by 3.
(4 * 2) + (8 * 3) = 8 + 24 = 32 points, so no.
(5 * 2) + (7 * 3) = 10 + 21 = 31 points, so no.
(6 * 2) + (6 * 3) = 12 + 18 = 30 points, so no.
(7 * 2) + (5 * 3) = 14 + 15 = 29 points, so no as well.
(8 * 2) + (4 * 3) = 16 + 12 = 28 points, so this is the combination we're looking for.
The function g(x) is a translation of f(x) = (x + 3)2 – 10. The axis of symmetry of g(x) is 5 units to the right of f(x) . Which function could be g(x)?
Answer:
There are two possible solutions for [tex]g(x)[/tex]:
[tex]g(x) = (x+3)^{2}-5[/tex]
[tex]g(x) = x^{2}-3\cdot x +4[/tex]
Step-by-step explanation:
From statement, we understand that [tex]g(x)[/tex] is defined by the following operation:
[tex]g(x) = f(x) +5[/tex] (1)
If we know that [tex]f(x) = (x+3)^{2}-10[/tex], then [tex]g(x)[/tex] is defined by:
[tex]g(x) = (x+3)^{2}-10+5[/tex]
[tex]g(x) = (x+3)^{2}-5[/tex]
[tex]g(x) = x^{2}-3\cdot x + 9 -5[/tex]
[tex]g(x) = x^{2}-3\cdot x +4[/tex]
Answer:
There are two possible solutions
Step-by-step explanation:
Find the slope of the line through (3, -4) and (5, 4). Be sure to simplify completely.
Answer: 4
Step-by-step explanation: (3,-4) (5,4)
4-(-4)= 8
5-3= 2
Divide both numerator and denominator by 2
The slope is 4
7 ¾ - 1 2/7 - 3/2 = ?????????????????????
Answer:
31/8 = 3 7/8 = 3.875
Step-by-step explanation:
7 3/4 /2 = 31/8 = 3 7/8 = 3.875
is 315/8 rational or irrational
Answer:
315/8 GIVES 39.375. But 35.375 Is actually a rational number, because it is terminating after 3 decimal places.
Step-by-step explanation:
Answer:
315/8 is rational.
Step-by-step explanation:
It is rational because 315/8 = 39.375. But 35.375 Is actually a rational number because it is terminating after 3 decimal places.
Describe the error in determining whether the lines are parallel, perpendicular, or neither.
Step-by-step explanation:
The slopes of perpindicular lines must be negative reciprocals of each other -- while -4 and 4 are negative to each other, the negative recipricocal for -4 is 1/4 and -1/4 for 4.
The slopes of parallel lines must be the same, so these are not parallel.
I WILL GIVE YOU BRAINLY PLSS
There are 256 vehicles in a car dealership’s lot. At least 113 of them are hybrid
vehicles. Which inequality describes how many vehicles, at most, are not hybrid?
A. ≤ 143
B. 143
D. ≥ 143
PLSS SHOW YOUR WORK PLSS
Answer:
B
Step-by-step explanation:
you can't have 143
but you also have toe have less
so < 143
Answer:
≤143
Step-by-step explanation:
At most means no more than, so it would be less than or equal to.
Which choices are equivalent to the fraction below? Check all that apply. 16\20
Answer:
To write 16.20 as a fraction you have to write 16.20 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number. 16.20 = 16.20/1 = 162/10 And finally we have:
Step-by-step explanation:
hope it work for you.
The graph shows the linear relationship between the total sales and the amount of items purchased from the local Dollar Store
Which equation best represents the relationship shown in the graph?
Answer:
A. Y= 2x+1
Step-by-step explanation:
The reason for this is if you use the formula Y=Mx+ b it will help you solve this question so lets say you take the points (3,1) Where the 3 is the Y value and the 1 is the X value, so now you would show your work starting by labeling the (3,1) points and label them as their value, then write your formula Y=Mx+ b and then replace those values as 3=2(1)+1 and that equals 3.
PLEASE PLEASE PLEASE HELP
Answer:
The answer is 21
Step-by-step explanation:
cu = -3( 5, -12)
= -15 + 36
= 21
PLEASE HELP!!
Graph the line with the equation
Answer:
Step-by-step explanation:
which of the following expressions have the greatest value
Answer:
the Answer is D
Step-by-step explanation:
the answer is 2^5 (D) mate
The scale on a road map indicates that 2 inches = 30 miles. How many inches would represent 120 miles on this road map?
Answer:
8 inches = 120 miles
Step-by-step explanation:
If 2 inches is equivalent to 30 miles, then divide 120 by 30 then times the answer by two.
120 / 30 = 4
4 x 2 = 8
8 inches = 120 miles
To check;
30 x 4 = 120
8 / 2 = 4
Hope this helps!!!
Answer:
The answer is 8in.
Step-by-step explanation:
Calculated 120/30
I need help fast thank you!!
Answer: hypotenuse is 37
Step-by-step explanation:
Answer:
37
Step-by-step explanation:
If you rolled a dice 24 times, how many times
would you expect to roll a 5?
A cylinder has a diameter of 7 and height of 10.4 . What is its total surface area to two decimal places
Answer:
305.68
Step-by-step explanation:
π = 3.14(aka pi)
d=diameter
h=height
^=exponent
The formula for doing this types of problem is 2π d/2h + 2π(d/2)^2. So all you do is fill in the diameter and height of the variable.
2π 7/2(10.4) + 2π(7/2)^2=305.68
Hope this was helpful, if not deeply sorry, I'm only in 7th grade...
The cost for the company to ship the boxes varies indirectly with the number of boxes being shipped. If 25 boxes are shipped at once, the cost will be $10 per box.
I need help please and thank you
John hit a golf ball from the ground and it followed the projectile h(t)=-16t²+100t+0, where is the time in seconds, and ℎ is the height of the ball. Use the quadratic formula to solve the two roots. These represent the 2 times that the ball is on the ground. At what time does the golf ball land? What is the max height of the golf ball? At what time (t) is the golf ball at the maximum height?
Answer:
The maximum height of the golf ball h(t) = 156.25m
The maximum height of the golf ball at t = 3.125 seconds
Step-by-step explanation:
Step(i):-
Given
h(t)=-16t²+100t ...(i)
Differentiating equation (i) with respective to 't'
[tex]\frac{dh}{dt} = -16(2t) + 100 (1)[/tex]
-32t + 100 =0
⇒ -32 t = -100
[tex]t = \frac{100}{32} = \frac{25}{8} = 3.125[/tex]
t = 3.125 > 0
Step(ii):-
Given h(t) = -16t²+100t = 0
t ( -16 t + 100 ) =0
t =0 and -16t = -100
t =0 and t = 6.25
Step(iii):-
h(t) = -16t²+100t ...(i)
put t=0 in equation (i)
h(0) = 0
put t = 3.125 in equation (i)
h(t) = -16(3.125)²+100(3.125)
h (t) = 156.25
Put t = 6.25
h(t) = -16(6.25)²+100(6.25)
= 0
The maximum value h(t) = 156.25 at 3.125
final answer:-
The maximum height of the golf ball h(t) = 156.25m
The maximum height of the golf ball at t = 3.125 seconds
The new price of the plane ticket
Answer:
159.25
Step-by-step explanation:
175 multiplied by 6% is 10.5
If you subtract 10.5 from 175 you will get 164.5
Answer:
100 - 6 = 94
175/100*94 = 164.50
new price = £164.50
Daniel read 1/3 of a book in the morning, and he read some more at night. By the end of the day, he still had 2/5 of the book left to read. How much of the book did Daniel read at night?
Answer:amount read at night =4/15
Step-by-step explanation:
Step 1
Since we are dealing with fractions,
Let Total amount of book contained to read = 1 whole
Therefore
Amount read in the morning + amount read at night +amount remaining = Total amount of book contained to read which gves us the equation
1/3 + x + 2/5 = 1
Step 2 --- solving
1/3 + x + 2/5 = 1
1/3 + 2/5 + x= 1
5 + 6 / 15 + x = 1
11/15 + x= 1
x= 1 - 11/15
15/15 - 11/15
x = amount read at night =4/15
Is 2x + 3 + 7x equivalent to the expression 3(3x + 1) ?
Answer:
Yes
Step-by-step explanation:
3(3x+1) = 9x+3
2x+3+7x = 9x+3
289.08 divided by 4 .......?
Answer:
72.27
Step-by-step explanation:
Answer:
72.27
Step-by-step explanation:
that's what I got on the calculator.
2) translation: 1 unit right and 2 units down
A submarine rises to the ocean's surface at 720 feet in 6 minutes. Find the points submarine's change in elevation per minute.
Answer:
The submarine gains 120 feet of elevation per minute.
Step-by-step explanation:
55°
Find the measure of each angle indicated.
70°
Answer:
60
Step-by-step explanation:
If the temperature is 77 F what is it in Celsius
Answer:
25 degrees celcius
Step-by-step explanation:
Prove the Isosceles Triangle Theorem as a paragraph proof.
Answer:
Reflexive Property
SAS
<C
Which number represents the BASE?
42=16
A. 4
B. 2
C. 16
Answer:
2
Step-by-step explanation:
Find the domain of the graphed function
Answer:
D
Step-by-step explanation:
sorry if its wrong. havent learned this in a while.
Answer:
Ok, so you see here, the demain is described as, to which to point does the x-axis change throught the graph, meaning here, you graph reaches from x = -4, to x = 2, that means that the domain is:
D) -4 ≤ x ≤ 2
Hope this is correct and helps!