Answer:
time = 4.4 s
horizontal distance = 488.8 m
Step-by-step explanation:
Height, h = 4 ft
Angle, A = 32 degree above X axis
velocity, u = 131 ft/s
Let the time taken is t.
Use second equation of motion
[tex]h = u t + 0.5 gt^2\\\\- 4 = 131 sin 32 t - 16 t^2\\\\16t^2 - 69.4t - 4 = 0\\\\t=\frac{69.4\pm \sqrt{4816.36 +256}}{32}\\\\t = \frac{69.4\pm71.2}{32}\\\\t = - 0.05625 s, 4.4 s[/tex]
So, time is 4.4 s.
The horizontal distance is
d = u cos A t
d = 131 cos 32 x 4.4 = 488.8 m
jose bought "n" packs of pencils. Each pack has 12 pencils. Write an equation to represent the total number of pencils "p" that josé bought.
Answer:
nx12=p
Step-by-step explanation:
So every pack has 12 pencils. You multiply the packs of pencils that José bought with how much pencils per pack. Since José bought "n" packs of pencils, the equation is nx12. But the answer is also unknown since we don't know how much packs José bought, so the answer is "p", or the total number of pencils José bought.
need help!! question is on the picture.
Answer:
√d=4×5
√d=20
square both sides
√d²=20²
the square cancels the square root
d=400
Name the quadrilateral ?
Answer:
Rectancle
Step-by-step explanation:
Has four sides and four edges
Answer:
A rectangle
Step-by-step explanation:
A rectangle has 4 sides, in which the opposite angles are equal.
In here, AD = BC & AB = CD
Hope u understood
Please mark as brainliest
Thank You
What is the equation of the line that passes through the points
(-3, 6) and (-3, 8)?
Answer:
[tex]x=-3[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0).
Typically, we would start with finding the slope of the line. However, notice how the two x-coordinates in the given points are both -3. This means that this is a vertical line, with an undefined slope.
Vertical lines have their equations organized differently: [tex]x=d[/tex] where d is the x-intercept, or the value of x when y is 0.
Because the x-coordinates in all the points a vertical lines passes through are the same, the x-intercept would therefore be -3. Plug this into the equation [tex]x=d[/tex]:
[tex]x=-3[/tex]
I hope this helps!
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer: 46º
Step-by-step explanation:
The Triangle Sum Theorem states that all triangles’ angles add up to a total of 180º. Therefore, to find X, just set up an equation.
70+64+X=180
134+X=180
-134 -134
X=46
Hope this helps!
The product of two rational numbers is 9⁄7 and one of them is 15⁄14. Then the other rational number is
Answer:
The other rational number in the operation given is:
6/5Step-by-step explanation:
To obtain the number in the operation given, we're gonna represent the operation:
r * 15/14 = 9/7Where:
r = the other rational number.Now we are going to solve r to identify its value in numbers:
r * 15/14 = 9/7[tex]r = \frac{\frac{9}{7} }{\frac{15}{14}}[/tex] (We pass a number that is multiplying to the left of the equal, to divide to the right of the equal symbol)[tex]r = \frac{6}{5}[/tex]As you can see, when we operate, the result is 6/5, and we can prove this multiplying as we had in the original equation, replacing r by 6/5:
r * 15/14 = 9/76/5 * 15/14 = 9/79/7 = 9/7In this form, we know the result is correct.
change for the interval from x = 8 to x = 9.
A. 19,683
B. 13,122 O
C. 3
D. 6561
Answer:
its b
Step-by-step explanation:
nahazbzbzhzhzhzhshhs
====================================================
Explanation:
We keep multiplying each rate of change by 3
The rate of change from 6 to 7 is 486*3 = 1,458The rate of change from 7 to 8 is 1,458*3 = 4,374The rate of change from 8 to 9 is 4,374*3 = 13,122 which points us to choice B-----------------
Another way to find the answer is to notice we have a geometric sequence going on here. The first term is a = 2 and the common ratio is r = 3.
The nth term is a(r)^(n-1) which becomes 2(3)^(n-1)
Plugging in n = 1 leads to the result 2. If you plug in n = 2, then you should get 6, and so on.
Plug in n = 9 and we get 2(3)^(9-1) = 13,122
What expression represents the profit, and what is the profit if 240 cell phones are sold? 40x-30; $ 2,400 40x-30; $ 9,570 70+50; $ 16,850 70+50; $ 28,800
Answer:
C: 70 x + 50 = $ 16, 850
Step-by-step explanation:
Which of the following expressions are equivalent to -45 +12?
Choose all answers that apply:
A 3(-15+4)
B
5(-50 + 12)
None of the above
3 (- 15 + 4) = -45 + 12
This is the answer
A man bought 2 pounds of coffee and 1 pound of butter for a total of $11.25. A month later, the prices had not changed (this makes it a fictitious problem), and he bought 3 pounds of coffee and 2 pounds of butter for $18.50. Find the price per pound of both the coffee and the butter.
Answer: See explanation
Step-by-step explanation:
Let the price per pound of coffee be c
Let the price ce per pound of butter be b.
We can form an equation based on the information given and this will be:
2c + b = 11.25 ....... i
3c + 2b = 18.50 ....... ii
From equation i, b = 11.25 - 2c ..... iii
Put the value of b into equation ii.
3c + 2b = 18.50
3c + 2(11.25 - 2c) = 18.50
3c + 22.50 - 4c = 18.50
-c = 18.50 - 22.50
c = 4.00
A pound of coffee cost $4.00
Since b = 11.25 - 2c .
b = 11.25 - 2(4.00)
b = 11.25 - 8.00
b = 3.25
A pound of butter costs $3.25
Help plz
Character limit = EEEEEEEEEEEEEEEEE
Answer:
160 [tex]cm^{3}[/tex]
Step-by-step explanation:
We know it is square based, so we know that the sides are the same.
Therefore the length is also 4.
4 * 4 * 10
=160
Write a real-life word problem that can be solved using the system of equations below. Include a definition of the variables. x + y = 325 y = x + 27
Answer:
The sum of Ade and Shola is 325. Shola is 25 years older than Ade. Find their present ages.
Step-by-step explanation:
Let x be the present age of Ade
Let y be present age of Shola
x + y = 325 means that the sum of their age is 325
y = x + 25 means that the Shola is 25 years older than Ade
Problem statement
The sum of Ade and Shola is 325. Shola is 25 years older than Ade. Find their present ages.
Helpppppp y’alllllllllll
Answer:
[tex]V=83.73\ in^3[/tex]
Step-by-step explanation:
The capsule is in the shape of two hemispheres and cylinder.
The volume of the container = volume of two hemispheres + volume of cylinder
The radius of the container, r = 2 in
Height of the cylindrical part, h = 8 in - 4 in = 4 in
So,
[tex]V=2\times \dfrac{2}{3}\pi r^3+\pi r^2 h\\\\=\dfrac{4}{3}\pi r^3+\pi r^2 h\\\\V=\pi r^2 (\dfrac{4}{3}r+h)[/tex]
Put all the values,
[tex]V=3.14\times 2^2 (\dfrac{4}{3}\times 2+4)\\\\V=83.73\ in^3[/tex]
So, the volume of the container is equal to [tex]83.73\ in^3[/tex].
Alaina has $28 in her account .she wants to purchase a pair of shoes that costs $45 .if alaina makes the purchase which integer will represent the amount of money in alaina account?
--Answer--
negative integer
--Explanation--
28 - 45 = -17; the number subtracting is greater than the original number.
how to turn 3:7 to a precentage
Answer:
3:7 = 42.86% (hope this helps) ;)
Step-by-step explanation:
Ratios are often expressed in the form m:n or m/n. To convert a ratio into the form of a percentage, simply divide m by n and then multiply the result by 100.
Follow the following steps for converting a ratio to a percentage:
Step 1: (Rewrite as fraction)
3:7 = 37 = 0.4286
Step 2: (Multiply the fraction by 100)
0.4286 x 100% = 42.86%
Have a great day ;D
Alex's dog weighs 5 pounds. About how
many grams does Alex's dog weigh since
1 pound is equivalent to about 454 grams?
Answer:
2270 grams
Step-by-step explanation:
If the dog is 5 pounds and 1 pound=454 grams, do 454x5=2270
Find the missing length indicated.
Answer:
x= 108
Step-by-step explanation:
use the altitude theorem:
altitude ² = projection of side 1* projection of side 2
x² = 144* (225-144)
x² = 144*81
x= √144*81
x= 108
The volume of the triangular prism is 54 cubic units.
A triangular prism with a volume of 54 cubic units is shown. The triangle has a base length of 4 and a height of x. The height of the prism is 3 x.
What is the value of x?
3
5
7
9
Answer:
The answer is 3
Step-by-step explanation:
Six different second-year medical students at Bellevue Hospital measured the blood pressure of the same person. The systolic readings (in mmHg) are listed below. Find the range, variance, and standard deviation for the given sample data. If the subject's blood pressure remains constant and the medical students correctly apply the same measurement technique, what should be the value of the standard deviation?
Answer:
[tex]Range=14[/tex]
[tex]\sigma^2 =32.4[/tex]
[tex]\sigma = 5 .7[/tex]
The standard deviation will remain unchanged.
Step-by-step explanation:
Given
[tex]Data: 136, 129, 141, 139, 138, 127[/tex]
Solving (a): The range
This is calculated as:
[tex]Range = Highest - Least[/tex]
Where:
[tex]Highest = 141; Least = 127[/tex]
So:
[tex]Range=141-127[/tex]
[tex]Range=14[/tex]
Solving (b): The variance
First, we calculate the mean
[tex]\bar x = \frac{1}{n} \sum x[/tex]
[tex]\bar x = \frac{1}{6} (136+ 129+ 141+ 139+ 138+ 127)[/tex]
[tex]\bar x = \frac{1}{6} *810[/tex]
[tex]\bar x = 135[/tex]
The variance is calculated as:
[tex]\sigma^2 =\frac{1}{n-1}\sum(x - \bar x)^2[/tex]
So, we have:
[tex]\sigma^2 =\frac{1}{6-1}*[(136 - 135)^2 +(129 - 135)^2 +(141 - 135)^2 +(139 - 135)^2 +(138 - 135)^2 +(127 - 135)^2][/tex]
[tex]\sigma^2 =\frac{1}{5}*[162][/tex]
[tex]\sigma^2 =32.4[/tex]
Solving (c): The standard deviation
This is calculated as:
[tex]\sigma = \sqrt {\sigma^2 }[/tex]
[tex]\sigma = \sqrt {32.4}[/tex]
[tex]\sigma = 5 .7[/tex] --- approximately
Solving (d): With the stated condition, the standard deviation will remain unchanged.
Solve the absolute value inequalty ⎜3x + 5⎟≤ - 2 a No Solution b - 2 ≤ x ≤ - 7 c All real numbers d -7/3 ≤ x ≤ -3/7
Answer:
Step-by-step explanation:
First, absolute value is always POSITIVE ⇒ the given inequality has No Solution!!
Just to show you how to solve this kind of problems:
1). If (3x + 5) ≥ 0, then 3x + 5 ≤ - 2
3x ≤ - 5 - 2
3x ≤ - 7
x ≤ - [tex]\frac{7}{3}[/tex]
2). If (3x + 5) < 0, then - (3x + 5) ≤ - 2
3x + 5 ≥ 2
3x ≥ - 3
x ≥ - 1
x ∈ ∅
harry is a shopkeeper, every month he spends $2000 for running the shop. he sells all the goods at 25% more than its. purchase price. what should be the total sales made by him in a month so that hè can earn a profit of $3000 every month.
A. $12000
B. $15000
C. $20000
D. $25000
Answer:
D i think
Step-by-step explanation:
its just a guess
solve the system of equations:
2x+y=12
3x-y=3
show work pls
Answer:
x = 3; y = 6
Step-by-step explanation:
Using elimination method:
2x + y = 12
+. (the y will cancel out)
3x - y = 3
5x = 15
therefore, x = 15
5
x = 3
substitute x in one of the equations
2(3) + y = 12
6 + y = 12
y = 12 - 6
y = 6
therefore y = 6
What is the equation of the line that is perpendicular to y = -2/3x+4 and that passes through (-2,-2)
Answer:
y = 3/2x + 1
Step-by-step explanation:
y = 3/2x + b
-2 = 3/2(-2) + b
-2 = -3 + b
1 = b
Find the total surface area of this square based pyramid. 10 in 5 in [ ? ]in?
Answer:
The answer is "[tex]125 \ in^2[/tex]"
Step-by-step explanation:
There is a base of five on every triangular face and a height of ten in. The field of the formulation
[tex]A = (\frac{1}{2})bh \\\\A = (\frac{1}{2} \times 5\ in \times 10\ in)[/tex]
[tex]= \frac{50 }{2} \ in^2\\\\=25 \ in^2\\\\[/tex]
The base of the square has a formula area
[tex]A = s^2 = (5\ in)^2 = 25 \ in^2[/tex]
The total area consists of the sum of the four-face area and the base: [tex]total \ \ area = 4 \times \text{(area of 1 face) + (area of base)}[/tex]
[tex]= 4 \times (25\ in^2 ) + 25 \ in^2 \\\\= 125 \ in^2[/tex]
I NEED HELPPP is it 112 or 56 ?????
List all the even numbers less than 50,
then find the probability that a number
selected at random:
a) is a multiple of 5.
b) is between 10 and 30.
c) is the number 12.
d) has its square less than 40.
Step-by-step explanation:
Even numbers less than 50={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48}
Total=24
Multiples of 5={10,20,30,40}
Probability (multiple of 5)=4/24
=1/6
P(between 10 and 30)=12,14,16, 18, 20, 22, 24, 26, 28
Total=9
Probability=9/24
=3/8
Probability is number 12
=1/24
Probability it has square less than 40
=(4,36)
Two numbers
Probability=2/24
=1/12
Help me please this is due today and it’s late help help!!
Step-by-step explanation:
I know A is one because positives and negitives are oppisite but i dont know if there are more
Sina + sin2a + sin3a + ... + Sinna
Answer:
sinasinasinasinaStep-by-step explanation:
this ia my answer pag pinagsama lahat ng sina
43%×64%÷3+86×18=what?
Answer:
1548.09173333
Answer:
43%×64%÷3+86×18=
1548.09173333
Step-by-step explanation:
Hope this answer helps you :)
Have a great day
Mark brainliest
9. A skydiver jumps from a plane at
12,500 ft. She free falls for 30 sec. and
drops to 4,608 ft. After the parachute
is pulled, the skydiver descends at a
rate of 960 ft./min. What is the total
time of the jump?
(A) 4.8 min
B 5.1 min
5.3 min
0 16 min
Step-by-step explanation:
write the one digit in the square of each of the following numbers
a.13