Solve for X in the triangle. Round your answer to the nearest tenth
Answer:
[tex]\displaystyle x \approx 9.9[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 64°
Opposite Leg = x
Hypotenuse = 11
Step 2: Solve for x
Substitute in variables [sine]: [tex]\displaystyle sin(64^\circ) = \frac{x}{11}[/tex][Multiplication Property of Equality] Multiply 11 on both sides: [tex]\displaystyle 11sin(64^\circ) = x[/tex]Rewrite: [tex]\displaystyle x = 11sin(64^\circ)[/tex]Evaluate: [tex]\displaystyle x = 9.88673[/tex]Round: [tex]\displaystyle x \approx 9.9[/tex]Question 16 of 20
If a study estimated that 22% of students ride their bikes to school, and the
error range is +2%, what percentage of students might actually ride their bikes
to school?
O A. 22% -24%
O B. 2% - 22%
O C. 20% - 22%
ОО
D. 20% - 24%
SUBMIT
PREVIOUS
Answer:
D) 20%-24%
Step-by-step explanation:
The margin of error is ±2%, which means that the true proportion it can be 2% above the average proportion or 2% below the average proportion. Therefore, the percentage of students that might actually ride their bikes to school is 20%-24%.
Answer: A. 22%-24%
Step-by-step explanation: There's a +2% error range, so you just add 2% to the existing percentage to get your range of 22% (the original percentage) through 24% (the percentage you get after adding 2%)
Short Response
Shantelle wants to rent a mid-size car for one day. Value Rent-a-Car charges $20 a day plus $0.20 per
mile, and Best Rent-a-Car charges $30 a day plus $0.10 per mile for rental of the same mid-size car.
Part A) Write an equation in slope intercept form, y=mx+b, for each car:
Value Rent-a-Car: y=0.20x+20
Best Rent-a-Car: y=0.10x+30
Part B: Determine the mileage where the rental charges are the same.
9514 1404 393
Answer:
100 miles
Step-by-step explanation:
A. The answers shown are correct
__
B. Equate the values of y and solve for x.
0.20x +20 = 0.10x +30
0.10x = 10 . . . . . . . subtract (20+0.10x)
x = 100 . . . . . . . . divide by 0.10
The rental charges are the same for 100 miles.
PLS HELP! If m(x) = 2x3 – 3x + 12, what is the value of m(-2)?
Answer:
[tex]m(x) = 2 {x}^{3} - 3x + 12 \\ m( - 2) = 2 {( - 2)}^{3} - 3( - 2) + 12 \\ = 2[/tex]
Would you rather have your debit card declined if you don't have enough
money to pay for something or would you rather pay the overdraft fee?
and why I'll mark brainest
Answer:
I would have my debit card declined because it is a better choice prob than having to pay the overdraft fee.
Find z such that 97.5% of the standard normal curve lies to the left of z. (Enter a number. Round your answer to two decimal places.)
Answer:
z=1.96
Step-by-step explanation:
Using normal distribution table or technology, 97.5% corresponds to z=1.959964, generally denoted z=1.96, or 1.96 standard deviations above the mean.
(above value obtained from R)
To find the constant vector C, we use the given initial condition v(0) = k, we also know that at t = 0, the general equation for v() i:s Comparing both equations for V(0) and solving for C, we have C = k. Substituting it back into the general equation, we have
V(t) = 4ti + 5tj + c = ______.
Answer:
4ti + 5tj + k
Step-by-step explanation:
Initial condition V(0) = k
at t = 0
general equation for v(t )
V(0) = 0i + 0j + c = k
when we compare V(0) and solve for c , c = k
back to general equation
V(t) = 4ti + 5tj + c = 4ti + 5tj + k
A force of 4 pounds is required to hold a spring stretched 0.4 feet beyond its natural length. How much work (in foot-pounds) is done in stretching the spring from its natural length to 0.6 feet beyond its natural length
Answer:
the work done in stretching the spring from its natural length is -1.8 ft.lb
Step-by-step explanation:
Given the data in the question;
From Hook's law, the magnitude of force applied on a spring is expressed as follows;
|F| = k|x|
where F is the force applied the spring, k is the spring constant, x is the length extension
Now, given that; F = 4 pounds = 4 lb and x = 0.4 ft
we substitute
4 = k × 0.4
k = 4 / 0.4
k = 10 lb/ft
Also, Hook's law can be expressed as follows;
F = -kx ---------- let this be equation 1
Now, work done by a force applied between two points is expressed as follows;
dW = Fdx ----------- let this be equation 2
substitute equation 1 into equation 2
dW = (-kx )dx
we integrate both side
∫(dW) = ∫((-kx )dx)
W = -k∫xdx
W = -k[tex]\frac{x^2}{2}[/tex]
w = -[tex]\frac{1}{2}[/tex]kx²
we substitute 10 lb/ft for k and 0.6 ft for x
w = -[tex]\frac{1}{2}[/tex] × 10 lb/ft × (0.6 ft)²
w = -[tex]\frac{1}{2}[/tex] × 10 lb/ft × 0.36 ft²
w = -1.8 ft.lb
Therefore, the work done in stretching the spring from its natural length is -1.8 ft.lb
What is the awnsers helppppp
Answer: 0.77
Step-by-step explanation:
Answer:
0.23
Step-by-step explanation:
the chart adds up to 1 as a whole so 23% chose football and there is a 23% chance the next person will also choose football.
Sum of 5x^2+2x and 4-x^2
Answer:
4x^2 + 2x + 4
Step-by-step explanation:
5x^2 + 2x + 4 - x^2
4x^2 + 2x + 4
Answer:
2(2x^2 + x + 2)
Step-by-step explanation:
5x^2+2x + 4-x^2
Re arrange so like terms are next to each other
Keep the same symbol that is at the front of the term when moving it
5x^2 - x^2 + 2x + 4
We will just do the first part first
5x^2 - x^2
5x^2 - 1x^2 (is the same thing as above)
So because they are like terms (are both x^2)
We can just minus 1 from 5
5-1=4
So 4x^2
Now the equation is
4x^2 + 2x + 4
This is as small as it gets but you can also bring it to this
4, 2 and 4 all are divisible by 2 so
2(2x^2 + x + 2)
please help me find the area
Answer:
17,290 yd2
Step-by-step explanation:
I rlly don't know how u were taught to solve it but what I did was multiply all the sides
What is the largest 4- digit number that is divisible by 3, 6, and 9? Explain how you know.
========================================================
Explanation:
Start with the largest four digit number possible (9999) and see if it's divisible by 3, 6 and 9
9999/3 = 33339999/6 = 1666.59999/9 = 1111When dividing the number over 6, we don't get a whole number. So 6 is not a factor of 9999, and we cross 9999 off the list.
------------------------
Decrease the number by 9. We do this because the result will be another multiple of 9 (which is automatically also a multiple of 3 as well, since 9 = 3*3)
So we go from 9999 to 9990
Repeat the last set of steps we did earlier
9990/3 = 33309990/6 = 16659990/9 = 1110Every result is a whole number, which shows that 9990 is a multiple of 3, 6 and 9. In other words, 9990 is divisible by 3, 6 and 9. It's the largest such 4 digit number.
PLEASE HALP MEEEEEEeeeee
Answer:
try me
Step-by-step explanation:
try these nuts
Answer:
lol
Step-by-step explanation:
How do I solve this math problem? The answer is: x = a^2/a-3
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
What is the equation of the line perpendicular to y=1/2 x+3 passing through the point (-3,4)
Answer:
y=-2x-2
Step-by-step explanation:
It take 6 Pounds of flour to make 36 cakes. How much flour is needed to make 9 cakes?
Answer:
54 pounds
Step-by-step explanation:
To find out how much flour is needed to make 9 cakes, we first need to find out how much much flour is needed to make 1 cake. For that, we need to divide 6 by 36. That will give you 6. Now that we know how much flour is needed to make 1 cake, we will just have to multiply 6 by 9 to find out how much flour is needed to make 9 cakes. That will give you 54 pounds, which is your final answer.
Bill can hit a bucket of 323 golf balls in 17 hours.
How many golf balls can Bill hit in 23 hours?
Find the volume of the prism or pyramid below
Answer:
6.3 Cubic cm
Step-by-step explanation:
[tex]V=A*h=(1.8*1.2+.5*1.1*1.8)*2=6.3cm^{3}[/tex]
Will mark brainliest! Problem is in pic below, no links please. Thanks.
Answer:
0.6
Step-by-step explanation:
The third side of the triangle ABC is AB. Using the Pythagorean Theorem, its length is 12. [tex]12^{2} +16^2=20^2[/tex]
∠F is congruent to ∠C and so the sin(∠F) = sin(∠C)
The sin(∠C) = opposite/hypotenuse
= |AB| / |AC|
= 12/20
= 3/5
= 0.6
so the answer is 0.6
if Tom had 78 apples and he gave to the shop for 80% and he put it on sale for another 10% what many apples would Tom get in the end?
Answer:
he has to many apples
Step-by-step explanation:
Never gonna give you up
Never gonna let you down
Never gonna run around and desert you
Never gonna make you cry
Never gonna say goodbye
Never gonna tell a lie and hurt you
Use the graph to answer the question.
What is [tex]\frac{AD}{AB}[/tex] in simplest form?
A. [tex]\frac{10}{3}[/tex]
B. [tex]\frac{1}{3}[/tex]
C. [tex]\frac{17}{5}[/tex]
D. 3
Answer:
D. 3
Step-by-step explanation:
Distance between A and D = AD = 9 units
Distance between A and B = AB = 3 units
[tex] \frac{AD}{AB} = \frac{9}{3} [/tex]
Simplify by dividing
[tex] \frac{AD}{AB} = \frac{3}{1} [/tex]
[tex] \frac{AD}{AB} = 3 [/tex]
The answer is 3
Which line is parallel to line CD in this figure?
line FA
line FC
line AD
A figure with 4 lines. Line A F is the same distance from line C D at every point. Line A D intersects line A F at point A and line C D at point D. Line F C intersects line A F at point F and line C D at point C.
The line that is parallel to line CD in the figure is A. Line FA
From the provided information, line FA is the same distance from line CD at every point, meaning that these lines are parallel.
What do parallel lines mean?Parallel lines are lines on a flat surface that never meet or cross each other.
When two lines are straight from beginning to end, they are parallel. Their distance is always the same at all points.
Some properties of parallel lines include:
Their corresponding angles are equal.The interior angles are also equal when another line cuts across them.From the given figure, we can see that FA||CD.
Learn more about parallel lines at brainly.com/question/30195834
#SPJ1
What is the initial value of the function represented by this table?
Answer:
2
Step-by-step explanation:
3+2=5 and 5+2 =7 and on x side just add 1
Find the value of x.
Answer:
20
Step-by-step explanation:
[tex]V_{right\: square \: pyramid} = \frac{1}{3} {a}^{2} h \\ \\ \therefore \: 1500 = \frac{1}{3} {(15)}^{2} (x)\\ \\ \therefore \: 1500 = \frac{1}{\cancel 3} \times \cancel {225} (x) \\ \\ \therefore \: 1500 = 75x \\ \\ \therefore \: x = \frac{1500}{75} \\ \\ \therefore \: x = 20[/tex]
how do i solve this question.
A motorbike covers the first 25km in 2 hours next 30 km in 3 hours and the remaining 35 km in 4 hours. Find the average speed of the motorbike
Answer:
10km per hour
Step-by-step explanation:
Distance = speed * time
speed = distance/time
------------------------
Distance traveled
25 + 30 + 35 = 90 km
Time
2 + 3 + 4 = 9 hours
Average peed
90/9 = 10km per hour
Crawling Crayfish!
Big Claw, the crayfish, challenged Flicker to a 60 em race. Since Big Claw is much
larger, he offered to give Flicker a 10 cm head start Flicker agreed and the race
began. After 5 seconds, Big Claw had crawled 6 cm and Flicker had crawled 4 cm.
If they continue at this rate, who do you predict will win the race? justify your
prediction
How many seconds have elapsed when Big Claw and Flicker are tied?
Answer: Crayfish, 25 s
Step-by-step explanation:
Given
The length of race is 60 cm
Flicker gets a 10 cm head-start
Cray fish covers 6 cm in 5 s i.e. its speed is
[tex]\Rightarrow \dfrac{6}{5}=1.2\ cm/s[/tex]
Flicker covers 4 cm in 5 s, its speed is
[tex]\Rightarrow \dfrac{4}{5}=0.8\ cm/s[/tex]
Time taken by Cray fish to cover the race is
[tex]\Rightarrow t_1=\dfrac{60}{1.2}\\\\\Rightarrow t_1=50\ s[/tex]
Time taken by flicker to cover race with 10 cm head start
[tex]\Rightarrow t_2=\dfrac{60-10}{0.8}\\\\\Rightarrow t_2=62.5\ s[/tex]
Time taken by crayfish is less. Hence, crayfish wins the race
When they both covers the same distance, they tied momentarily i.e.
[tex]\Rightarrow 1.2t=10+0.8t\\\Rightarrow 0.4t=10\\\\\Rightarrow t=\dfrac{10}{0.4}\\\\\Rightarrow t=25\ s[/tex]
After 25 s, they tied the race.
How to solve problem?
Answer:
m<ADE = 57 degrees
Step-by-step explanation:
Angles of a quadrilateral add up to 360. We are already given 69 and 45, which can both be subtracted from 360, leaving us with 246. Since the two remaining angles are congruent, 246 can be divided by 2 to find the remaining measure(s). We are left with 123. However, m<ADE is supplementary to this. So we subtract 123 from 180. The final answer is 57 degrees.
GIVING BRAINLIEST!!!!!!
Answer:
B-2
Step-by-step explanation:
To find the constant of dilation take the lead of EF and divide it by the length of AB to get (6/3)=2
Bob can mow a yard in 5 hours and Jeff can mow the same lawn
in 3 hours. Which equation could be used to solve an equation to find the time
it would take to mow the yard if they both mowed the lawn at the same time? *
Answer:
2 hours
Step-by-step explanation:
because they work faster togetter and jeff mows faster