Answer:
The rocket will hit the floor at 9.57 seconds
Step-by-step explanation:
Given
[tex]G(x) = -16x^2 + 150x + 30[/tex]
Take off height = 30ft
Initial velocity= 150ft/s
Required [Missing from the question]
Time to hit the ground
The rocket will hit the ground at:
[tex]G(x) = 0[/tex]
So, we have:
[tex]0 = -16x^2 + 150x + 30[/tex]
Rewrite as:
[tex]16x^2 - 150x - 30=0[/tex]
Solve using quadratic formula, we have:
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
Where:
[tex]a= 16\\ b = -150\\ c = -30[/tex]
So, we have:
[tex]x = \frac{-(-150) \± \sqrt{(-150)^2 - 4*16*(-30)}}{2*16}[/tex]
[tex]x = \frac{150 \± \sqrt{22500 +1920}}{32}[/tex]
[tex]x = \frac{150 \± \sqrt{24420}}{32}[/tex]
[tex]x = \frac{150 \± 156.27}{32}[/tex]
Split:
[tex]x = \frac{150 + 156.27}{32}\ or\ \frac{150 - 156.27}{32}[/tex]
[tex]x = \frac{306.27}{32}\ or\ \frac{-6.27}{32}[/tex]
Time cannot be negative;
So:
[tex]x = \frac{306.27}{32}[/tex]
[tex]x = 9.57[/tex]
Hence, the rocket will hit the floor at 9.57 seconds
If the measure of arc AD is 65 degrees and the measure of arc BC is 45 degrees, what is the measure of angle BEC?
Answer:
[tex]\angle BEC=55 \textdegree)[/tex]
Step-by-step explanation:
From the question we are told that:
Arc [tex]AD =65 \textdegree[/tex]
Arc [tex]BC =45 \textdegree[/tex]
Given The angle of intersecting chords theorem
Generally the equation for angle BEC is mathematically given by
[tex]\angle BEC=\frac{1}{2} (\angle of arc AD+\angle of arc BC)[/tex]
[tex]\angle BEC=\frac{1}{2} (65 \textdegree+45 \textdegree)[/tex]
[tex]\angle BEC=55 \textdegree)[/tex]
solve the equation-4(x+10)-6=-3(x-2)
Answer: x= -52
Step-by-step explanation:
An outlier will most affect the___
A. Mean
B. Median
C. Mode
"La suma de la medida de los ángulos interiores de cualquier triángulo, es igual a dos triángulos rectos, o sea a 180°."
Answer:
Efectivamente, la suma de la medida de los ángulos internos de cualquier figura triangular es igual a 180º. Ahora bien, la oración posee un error de redacción, pues tanto los triángulos rectos como los equiláteros o los isósceles poseen dicha característica, es decir, no es únicamente una característica de los triángulos rectos. Además, la suma de los ángulos interiores de dos triángulos rectos sería igual a 360º, no a 180º.
Plsss help first person to answer will get brainliest
Answer:
One equation you could use is 6(7 + 5) + 3.
Answer:
[tex]((3 * 7) - 6) * 5[/tex]
Step-by-step explanation:
For this problem, we will use trial and error.
It will take a while, but we can reduce the amount of guesses we have to make.
Looking at the problem, it is obvious that we will require multiplication at some point, as adding all the numbers together is nowhere near 75.
Let's start this problem by finding the prime factors of 75:
75 = [tex]25 * 3[/tex]
75 = [tex]5 * 5 * 3[/tex]
The prime factors of 75 are: [tex]5 * 5 * 3[/tex].
Our numbers are 7, 5, 6, and 3.
We already have a 5 and a 3, so we need to use 7 and 6 to get 5, and that's impossible, so this is a pass.
Next, we'll look at another factor, [tex]25 * 3[/tex].
We already have a 3, so we can ignore that. We need to use 7, 6, and 5 to get 25.
Here are some of the results:
[tex](5 * 6) - 7 = 23[/tex] (Nope)
[tex](7 * 5) - 6 = 29[/tex] (Nope)
[tex]6 + 5 + 7 = 18[/tex] (Nope)
There's more combinations, but the numbers are either too large or too small. This is a pass too.
Now, we'll try another factor, [tex]15 * 5[/tex].
We already have a 5, so let's ignore it and use 7, 6, and 3 to get 15.
[tex]7 + 6 + 3 = 16[/tex] (Nope)
[tex](6 * 3) - 7 = 11[/tex] (Nope)
[tex](3 * 7) - 6 = 15[/tex] (Yep)
So our expression to make 15 is [tex](3 * 7) - 6[/tex]. Then we multiply the whole thing by 5. Thus our expression is:
[tex]((3 * 7) - 6) * 5[/tex]
Let's check our answer:
[tex]((3 * 7) - 6) * 5[/tex]
[tex](21 - 6) * 5[/tex]
[tex]15 * 5[/tex]
[tex]75[/tex]
The expression gives us 75, which is what we want, so our answer is correct.
Find the exact values of csc and sec
Answer:
cosec theta = 5/4
sec theta = 5/3
Step-by-step explanation:
Given that;
cot θ = 3/4
1/tanθ = 3/4
tanθ = 4/3
since tanθ = opp/adj
opp = 4
adj = 3
hyp^2 = 4^2 + 3^2
hyp^2 = 16+9
hyp^2 = 25
hyp = √25
hyp = 5
sin theta= opp/hyp
sin theta = 4/5
cosec theta = 1/sin theta
cosec theta = 1/(4/5)
cosec theta = 5/4
Get sec theta;
sec theta = 1/costheta
sec theta = 1/(3/5)
sec theta = 5/3
HELPPP PLS what is the circumference of 11 , 8 ,and 6 !
Answer:
C≈34.56, C≈25.13 and C≈18.85
Step-by-step explanation:
Using the formulas
C=2πr
d=2r
Solving for C
C=πd=π·11≈34.55752
Using the formulas
C=2πr
d=2r
Solving for C
C=πd=π·8≈25.13274
Using the formulas
C=2πr
d=2r
Solving for C
C=πd=π·6≈18.84956
Kim and Kate sell gym memberships. Kim earned $50 her first day of work and $75 each day after that. Kate earned $35 her first day of work and $75 each day after that. Part A Find the pattern for calculating the amount that Kim and Kate each earn. Use the drop-down menus to complete the statements. For Kim, start at 50 and add 75 for each day after the first day. For Kate, start at 35 and add 75 for each day after the first day. Part B How much will each have earned after 4 days? Drag numbers to complete the sentence. Numbers may be used once, more than once, or not at all. 180 225 260 275 330 375 Kim will have earned $ and Kate will have earned $ after 4 days.
For Kim, start at 50 and add 75 for each day after the first day.
For Kate, start at 35 and add 75 for each day after the first day.
Part B
How much will each have earned after 4 days? Drag numbers to complete the sentence. Numbers may be used once, more than once, or not at all.
Kim will have earned $ 275 and Kate will have earned 260 after 4 days.
simplify this product
(v+6)(v-6)
Henri buys 126 inches of a fabric that costs $12 for each yard. How much dos Henri pay for the fabric
Answer: $47.28
Step-by-step explanation:
There are 126 inches of fabric.
You need to convert this to yard as that is the pricing unit.
1 yard = 36 inches
126 inches is:
= 126/32
= 3.94 yards
Cost is $12 per yard so Henry pays:
= 12 * 3.94
= $47.28
Jerry is charged for $2 for every day he is late paying his cable bill. Which integer correctly shows how much Jerry owes if he is 12 days late paying his cable bill?
Answer:
24
Step-by-step explanation:
we know that for every day he is late, he is charged 2 dollars. Since he is 12 days late, we can simply do the following:
$2 × 12 days = $24
In circle J with m \angle HJK= 50m∠HJK=50 and HJ=16HJ=16 units, find the length of arc HK. Round to the nearest hundredth.
Answer:
13.96
Step-by-step explanation:
length of an arc = theta/360 * 2πr
Given
m<HJK = 50
HJ = 16units
Required
length of arc HK
arc HK = 50/360 * 2(3.14)(16)
arc HK = 5/36 * 100.48
arc HK = 502.4/36
arcHK = 13.96
hence the length of arcHK to nearest hundredth is 13.96
Every two out of three kids sang at the talent show. What percent of the kids did not sing at the talent show? (round)
33.3% do not sing in the talent show.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Total number of kids = 3
Number of kids who sang = 2
The number of kids who do not sing.
= 3 - 2
= 1
The percentage of kids who do not sing.
= 1/3 x 100
= 33.33%
Thus,
33.3% do not sing in the talent show.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ2
PLSS HELP IMMEDIATELY!!!! ILL MARK BRAINIEST IF U DONT LEAVE A LINK OR GUESS!!!
Answer:
30 cm³
Step-by-step explanation:
volume of a rectangle prism: width × length × height
=> 2 × 3 × 5 = 30
Using the graph below, calculate the average rate of change for f(x) from
x = 0 to x =2
1) -4
2) -2
3) 2
4) 4
Answer:
4
Step-by-step explanation:
Average rate of change = [tex] \frac{f(b) - f(a)}{b - a} [/tex]
Where,
a = 0,
f(a) = f(0) = -2 (from the graph given)
b = 2,
f(b) = f(2) = 5 (from the graph)
Plug in the values
Average rate of change = [tex] \frac{5 - (-2)}{2 - 0} [/tex]
[tex] = \frac{7}{2} [/tex]
= 3.5 ≈ 4 (approximated)
Im February, the record low temperature for ST.Paul, Minnesota was -3 F. In January, St.Paul had a record low that was 6 times that of February's. What was the record low temperature in January?
160 is what percentage of 40?
Answer:
400
Step-by-step explanation:
Answer:
400%
Step-by-step explanation:
If you meant what percentage 40 is of 160, its 25%
40/160= 1/4= 25%
160/40= 4/1= 400%
You are wrapping the boxed DVD collection as a present. What is the least amount of wrapping paper needed to wrap the box?
Here are the measurements: 1.5 , 8 , 6
The least amount of wrapping paper needed is how many
square inches?
Answer:
i am almost positive its 448
Step-by-step explanation:
The surface area of the box is 448 square inches so that is the least amount of paper needed to cover the box. A gift box is the shape of a rectangular prism measures 8 inches by 8 inches by 10 inches.
Answer:138
Step-by-step explanation:
X^2-3x=7/4
Solve by completing the square
Answer:
Step-by-step explanation:
X^2-3x=7/4 should first be rewritten in standard form, which here would be:
x^2 - 3x - 7/4 = 0.
1. Identify the coefficient of the x term and take half of that number:
-3/2
2. square this result: (-3/2)^2 = 9/4
3. add this last result, 9/4, between the -3x term and the -7/4 term, and then subtract it as shown:
x^2 - 3x + 9/4 - 9/4 - 7/4 = 0
4. Rewriting the first 3 terms as the square of a binomial, we get:
(x - 3/2)^2 - 16/4 = 0, or (x - 3/2)^2 = 16/4
5. Take the square root of both sides, obtaining:
x - 3/2 = ±√4/2 or ±√2
6. Write out the two roots: x = 3/2 + √2
and x = 3/2 - √2
Dave jarred 12 liters of jam after 6 days. How much jam did Dave jar if he spent 9 days making jam?
Answer:
18 liters of jam after 9 days
Step-by-step explanation:
12 liters = 6 days
12 liters ÷ 6 days = 2 liters per day
2 liters per day x 9 days = 18 liters of jam in 9 days
Dave jarred 18 liters of jam in 9 days
Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
State if the two triangles are congruent. If they are, state how you know
A) SSS
C) ASA
B) Not congruent
D) SAS
Answer:
C) ASA
Step-by-step explanation:
angles are indicated equal and they share the common diagonal between those angles, so ASA
The given two triangles are congruent due to the ASA postulate, which is the correct answer that would be an option (C).
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
The given triangles are given in the figure.
We can see that there are two angles that are the same and one side is the same.
According to ASA, two triangles are congruent if any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle.
So, we conclude that the given two triangles are congruent.
Hence, the given two triangles are congruent due to the ASA postulate.
Learn more about congruent triangles here:
brainly.com/question/4364353
#SPJ2
for the following question, find the volume of the given prism. round to the nearest tenth if necessary
Answer:
I'm pretty sure its 2.028.0
Step-by-step explanation:
because .5 times 13 times 13 times 24 is 2028
and when you round to the nearest tenth it is 2.028
so yeah... good luck bestie <333
finding the distance between the points (−3,−2)
and (7,4)
Answer:
11.661904
plz mark me as brainliest.
pleasee helpp, thank you!!
Answer:
- 1/4
Step-by-step explanation:
i HOPE it helps!!!:)))
k less than twenty four
Answer: K-24
Step-by-step explanation: It's basically just subtracting by replacing the number with one of your answer choices or its an expression.
Answer:
24 - k
Explanation: k less than twenty four means 24 - k.
Please help me please I really need help please
Answer:
See attached
Step-by-step explanation:
Solution is in the attached picture
Emma earned 12/15 on an assignment about aggressive kangaroos. What was her grade as a percent?
Answer:
80%
Step-by-step explanation:
percentage is 100
therefore 12/15 x100 =80%
Answer:
Emma's grade:
80%
Step-by-step explanation:
12 ÷ 15 = 0.8
For example:
When trying to find the percent, you divide the 12 by 15 and the outcome should be 0.8.
Once you have the decimal you move the decimal point to the right 2 times and you get your answer. (80) or (0.80)
Let me know if this helps!
ANSWER I WILL GIVE U BRIANLIEST!!!
Answer:
9
Step-by-step explanation:
Answer:
x = 9
Step-by-step explanation:
Given y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 9 when x = - 3
9 = - 3k ( divide both sides by - 3 )
- 3 = k
y = - 3x ← equation of variation
When y = - 27 , then
- 27 = - 3x ( divide both sides by - 3 )
9 = x
The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 50 pizzas in all, 10% of which were mushroom pizzas. How many mushroom pizzas did the cafeteria make?
Answer:
5 mushroom pizzas
Step-by-step explanation:
Find how many mushroom pizzas they made by finding 10% of 50:
50(0.1)
= 5
So, the cafeteria made 5 mushroom pizzas
Answer:
50×10/100= 5
The cafeteria made 5 mushroom pizza
x^2 + 6x + 5 = 0 by completing the square. What are the solutions?
Answer: (X+1)(X+5)
I factored it out.