Answer:
x = 0.954
Step-by-step explanation:
We apply pythagorean to find x
(4-x)² = 1.2² + 2.8²
(4-x)² = 9.28
✓(4-x)² = ✓(9.28)²
4 - x = 3.046
- x = 3.046 - 4
- x = -0.954
x = 0.954
(Please heart and rate if you find it helpful, it's a motivation for me to help more people)
An object is dropped from a height of 150 feet. Its heights s at time, t is given by the
equation s(t) =-16t^2+150 ,where s is measured in feet and t is measured in seconds.
Find the average rate of change of the height over the interval [1, 2.5).
O 1) -56 ft/sec
O2) 77 ft/sec
03) 56 ft/sec
O4) -35 ft/sec
Answer:
The average rate of change of the height over the interval [1, 2.5] is - 56 feet per second.
Step-by-step explanation:
Let [tex]s(t) = -16\cdot t^{2} + 150[/tex]. Geometrically speaking, average rate of change over a given interval ([tex]\bar v[/tex]), measured in feet per second, is determined by definition of secant line, which is defined:
[tex]\bar v = \frac{s(t_{2})-s(t_{1}) }{t_{2}-t_{1}}[/tex] (1)
Where:
[tex]s(t_{1})[/tex], [tex]s(t_{2})[/tex] - Initial and final position of the object, measured in feet.
[tex]t_{1}[/tex], [tex]t_{2}[/tex] - Initial and final times, measured in seconds.
If we know that [tex]t_{1} = 1\,s[/tex] and [tex]t_{2} = 2.5\,s[/tex], then the average rate of change over the interval [tex][1,2.5][/tex]:
[tex]s(1) = -16\cdot (1)^{2}+150[/tex]
[tex]s(1) = 134[/tex]
[tex]s(2.5) = -16\cdot (2.5)^{2}+150[/tex]
[tex]s(2.5) = 50[/tex]
[tex]\bar v = \frac{50\,ft-134\,ft}{2.5\,s-1\,s}[/tex]
[tex]\bar v = -56\,\frac{ft}{s}[/tex]
The average rate of change of the height over the interval [1, 2.5] is - 56 feet per second.
Elizabeth got these grades on three tests: 72, 80 and 82. She had one more test to take. She wanted an average of 80 for the four tests. What score must she get on the fourth test?
Answer:
she at least needs an 87 for her average to be an 80
Step-by-step explanation:
87+72+80+82=321
321/4= 80.25
Is the point (1, 2) a solution to the system?
y = 4x-2. y = 10x - 8
A. No
B. Yes
C. More information is needed.
Answer:
B) Yes
Step-by-step explanation:
2=4(1)-2
2=4-2
Yes.
2=10(1)-8
2=10-8
Yes.
PLEASE HELP ME I WILL DO ANYTHING PLEASE HELP ME
Answer:
78
Step-by-step explanation:
Sorry I've never studies this in school :(
But to be fair I'm only in 7th so hopefully I'll study it eventually lol
does anyone know if each square weighs 5 pounds. what is the weight of a single triangle?
A kite is 32 m above the ground. The angle the kite makes with the
ground is 30.9º. How long is the kite string?
Answer:
Step-by-step explanation:
sin(30.9) = [tex]\frac{32}{z}[/tex]
32 / sin (30.9) = z
z = 62.31 m
Mr. Dalton only buys two brands of snack bars for his kids: Grateful Grain and Granola Delight. Last week at the store, he bought fewer Grateful Grain bars than Granola Delight bars, but he paid the same amount for both. If he decides to buy the same number of each brand this week, which brand will he spend more money on?
A)gratefull grain
B)granola delight
btw this is Compare rates: word problems
plz answere
20 points . I need help with this.
Answer:
1) 117
2) 51
3) congruent
4) to each other
Step-by-step explanation:
Un dia en uno de los pizarrones de la escuela a Divide el pizarrón en cuatro partes iguales, de modo que en cada una quede un 1 un 2 un 3 y un 4
Answer:
Translation: One day on one of the school blackboards a Divide the blackboard into four equal parts, so that each one has a 1, a 2, a 3 and a 4
Step-by-step explanation:
So what am I answering here?
Find JK in the screenshot
Answer:
x=8
Step-by-step explanation:
x/12 = 4/6
6x=48
48/6=8
During vacation, Dave and his brother, Scott, rode their bikes from their family's rental house to a pond to go fishing. Although they left the rental house together, Dave arrived at the pond a few minutes before Scott. This weekend, they plan to ride a nearby mountain trail and turn back after an hour if they can't complete it. Who will likely ride farther along the mountain trail?
A)dave
B )Scott
can u plz show the work on how to answere this problem
Answer:
A
Step-by-step explanation:
I'll put the work right now ill right in the comment area.
Find the value of x in each pair of similar figures.
X
16 cm
22 cm
32 cm
a.
11 cm
C.
14 cm
b. 23.3 cm
d. 9.6 cm
Please tell me
Answer:
Step-by-step explanation:
A I believe sorry if wrong
if 10^3x=1/0.001,find the value of x
Answer:
x = 1
Step-by-step explanation:
Firstly, look at the left hand of the equation
1/0.001 = 1000 = 10^3
then
10^3x = 1000= 10^3
then
10^3x = 10^3
then
x= 1
I need help! I don't know what to do!
what is 8% in decimal from
Answer:
.08
Step-by-step explanation:
Since percentages are out of 100, 8% would be 8/100. You can just convert that to a decimal, so it'd be .08, (eight hundredths) !
i hope this helped! Have a great day :)
How is pi calculated
Answer:
Pie is forever but the first 3 numbers re 314
Step-by-step explanation:
Louis wants to make a scale drawing of his bathroom. The room is 12 feet long by 8 feet wide. If he uses a scale of 1cm = 4ft, how big would the bedroom be in the scale drawing?
Help please I need to submit soon
Step-by-step explanation:
(2.3)^2 +5^2= ?
=6^2 +5^2
= 61
Answer:
THXSSSS UUUU SWOOOO MUCHHHHHHH
Step-by-step explanation:
X/6 = 3 x=____ help
Answer:
x =18
Step-by-step explanation:
[tex]\frac{x}{6} = 3[/tex]
x = 3 x 6
x = 18
Verify:
[tex]\frac{18}{6} =3[/tex] (Correct)
you and a friend fill balloons with water. Two out of every 25 balloons pop while being fillied what percent of the balloons do not pop while they are being fillied
Answer:
92 percent
Step-by-step explanation:
Answer:
92% of balloons filled did not pop.
Step-by-step explanation:
2 / 25 balloons is the fraction of balloons that do pop, and we want the percentage that don't pop.
To start off with, we will get the fraction of balloons that don't pop - 23 / 25.
We will then convert this fraction to a decimal by dividing the fraction:
23 divided by 25 = 0.92
Now, to convert this to a percentage, we just multiply by 100.
0.92 x 100 = 92%
Therefore the answer is 92% of balloons filled did not pop.
16a+6 factor the algerbric expression
Answer: 2(8a+5)
To factor means to find a number that can divide all the terms in the expression and leave whole number quotients. The factor is written outside the bracket while the quotients are written inside the bracket. In the question, 2 can divide both 16a and 10 giving 8a and 5. This is how the answer was obtained.
Step-by-step explanation:
Answer:
2(8a + 3)
Step-by-step explanation:
bring out the common factors
which is two
2(8a + 3)
X + 12 >7
HELP YOU NOW PLEASE
Answer:
x>−5
Step-by-step explanation:
A square measures 6 cm on all four sides. If you enlarge each side by 4 times, how long is each side?
Answer:
24cm
Step-by-step explanation:
6x4=24
Anyone know what 8th grade workbook are these pages from called? Will give brainliest.
Step-by-step explanation:
PDF wont download so i cant see to tell you. sorry dont want yor points i have enough. give me some info if u can?
Answer: you have to go to tutoring
Step-by-step explanation: it not easy tho
17+10+9×9:27
[tex]17 + 10 + 9 \times 9 \div 27[/tex]
Answer:
30
Step-by-step explanation:
17 + 10 + 9 * 9 / 27
= 17 + 10 + 81 /27
= 17 + 10 + 3
= 20 + 10
= 30
Which pair of segments in the figures below are congruent?
Answer:
it would be great if I could see the angles
Answer: D- BC and PN
Step-by-step explanation:
I got %100
A right triangle is shown. One leg is labeled 5 and the other is labeled 13. A right angles is labeled in between the legs.
Mckenzie's Work Cara's Work
a2 + b2 = c2 a2 + b2 = c2
52 + 132 = c2 52 + b2 = 132
25 + 169 = c2 25 + b2 = 169
194 = c2 b2 = 144
Square root 194 equals square root c squared. Square root b squared equals square root 144.
13.93 ≈ c b ≈ 12
Who is right?
Answer:
Makenzie is correct, 13.93 ≈c
Step-by-step explanation:
the sides with determined lengths (see image) are A (13) and B (5). C however is not determined.
the correct equation would be to solve for c.
13² + 5² = c²
[tex]\sqrt {169 + 25} = c[/tex]
c ≈ 13.93
Clara solved for b and not c, which is incorrect.
The right working is as follows:
c² = a² + b²
c² = 5² + 13²
Using Pythagoras theorem,
c² = a² + b²
where
c = hypotenuse
a and b are the other two legs.
Therefore,
c = ?
a = 5
b = 13
c² = 5² + 13²
c² = 25 + 169
c² = 194
c = √194
c = 13.9283882772
c = 13.9 inches
learn more on Pythagoras theorem: https://brainly.com/question/25222676?referrer=searchResults
A rectangular prism has a volume of 3,510 feet cubed. It has a height of 12
feet and a length of 13 feet. What is it's width? *
Answer:
22.5 feet.
Step-by-step explanation:
Volume = length * height + width, so:
3510 = 13 * 12 * width
So width = 3510 / (13*12)
= 22.5 feet.
Nick spent 34 minutes on the phone while routing 17 phone calls. In all, how many phone calls does Nick have to route to spend a total of 50 minutes on the phone? Assume the relationship is directly proportional.
Answer:
25 phone calls
Step-by-step explanation:
Create a proportion where x is the number of phone calls for 50 minutes on the phone:
[tex]\frac{34}{17}[/tex] = [tex]\frac{50}{x}[/tex]
Cross multiply and solve for x:
34x = 850
x = 25
So, Nick would have to make 25 phone calls
what is the differnce in length btw 1 1/4 and a 3/8 inch
1 1/4 = 1.25
3/8 = .375
1.25 - .375 = .875
plz mark brainliest! :)
Hi there!
Difference:
[tex]\frac{7}{8}[/tex]
1.Convert each fraction terms into a similar denominator:
[tex]1\frac{1}{4}=1\frac{2}{8}[/tex]
[tex]\frac{3}{8}=\frac{3}{8}[/tex]
2.Simplify term into mixed numbers:
[tex]1\frac{2}{8}=8+2=10:\frac{10}{8}=\frac{5}{4}[/tex]
3.Subtract the terms:
[tex]\frac{10}{8}-\frac{3}{8}=\frac{7}{8}[/tex]
Therefore, the difference in length between 1 1/4 and 3/8 is 7/8...