In a right triangle with an angle of 60° and a hypotenuse of 12 feet, we need to find the length of the side opposite the angle. The correct answer is b. x - 6√3 ft.
In a right triangle, the side opposite an angle is called the "opposite" side. To find the length of the side x, we can use the trigonometric relationship involving the angle 60°, which is known as the sine function.
The sine function is defined as the ratio of the length of the opposite side to the length of the hypotenuse. In this case, we have the equation:
sin(60°) = x / 12
To solve for x, we can multiply both sides of the equation by 12:
12 * sin(60°) = x
The sine of 60° is √3 / 2, so we can substitute that value into the equation:
x = 12 * (√3 / 2)
Simplifying the expression, we get:
x = 6√3 ft
Therefore, the length of the side opposite the angle 60° is x - 6√3 ft, which matches option b.
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The area of circular disc is 154cm². find its perimeter
Answer:
pee
Step-by-step explanation:
WRUF 103.7 FM is giving away tickets to a concert. Tim, the general manager of the radio station, plans to give away upper-level and mid-level seats that cost $25 and $40, respectively. Tim wants to give away at least 25 tickets, but he has a budget constraint of $1,000.
Answer:
u + m ≥ 25
25u + 40m ≤ 1000
Step-by-step explanation:
WRUF 103.7 FM is giving away tickets to a concert. Tim, the general manager of the radio station, plans to give away upper-level and mid-level seats that cost $25 and $40, respectively. Tim wants to give away at least 25 tickets, but he has a budget constraint of $1,000.
Write a system of two inequalities that describes this situation
Solution
Let
u = number of upper level tickets
m = number mid level tickets
Cost of upper level tickets = $25
Cost of mid-level tickets = $40
Tim wants to give away at least 25 tickets
He has a budget constraint of $1,000
Equation for the amount of tickets given away
u + m ≥ 25
Equation for the cost of tickets
25u + 40m ≤ 1000
Name the angle in three different ways.
W
V
U
Name is angle three different ways
Answer:
angle WVU
angle UVW
angle VUW
Step-by-step explanation:
Answer:
<WVU
<VWU
<UVW
There is more than three different ways this is just the first 3.
So right now i'm doing "solving Inequalities" i need help with this question
3v-12>5v+10
Answer:
v < -11
Step-by-step explanation:
Combine like terms: 3v - 5v > 12 + 10Simplify: -2v > 22Divide each side by -2 to cancel out the -2 next to v. It should now look like this: v < -11I hope this helps!
What does x equal in the problem?
Answer:4
Step-by-step explanation:
Just look at it. Pretty sure it's 4. .-.
what is the slope of a line perpendicular to y=-1/2x-2
m = -(1/2)
Step-by-step explanation:
[tex]y = - \frac{1}{2} x - 2[/tex]
The line is written in slope intercept form :
y = mx+b
Where ;
m = Slope
According to the equation,
[tex]m = - \frac{1}{2} [/tex]
As |a| increases, the parabola becomes
Answer:
1: Narrower
2: Wider
Step-by-step explanation:
The magnitude of 'a' increases, the parabola becomes more and more wider.
What is Parabola?A parabola is a curve where any point is at an equal distance from a fixed point (the focus), and a fixed straight line (the directrix).
Given is a parabola.
The parametric form of equation of parabola is given by -
y² = 4ax
Here, distance 'a' is called focus of parabola.
For a constant value of x - coordinate, take different values of 'a'. For constant x, we get the following relation -
y² [tex]\alpha[/tex] a
As the magnitude of 'a' increases, the y coordinate increases and parabola becomes more and more wider.
Therefore, the magnitude of 'a' increases, the parabola becomes more and more wider.
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You ride your bike 22 miles and then get a flat tire! You turn around and walk the bike 4 miles before your mom is able to pick you up. How far are you from the house when your mom picks you up?
Answer:
18 miles away from home
Step-by-step explanation:
This question requires you to know about displacement. Since you rode 22 miles from home, you are 22 miles away from home, obviously. Now, you walk BACK 4 miles, so take 4 away from 22 and you get 18. This means that your displacement from home is 18 miles. Interestingly, you traveled 26 miles before your mom picked you up, but the question asks for the displacement, and not the distance traveled overall.
Help!! Please click on the photo for more info. You can just say A, B, or C.
Answer:
A
Step-by-step explanation:
Each time, you can get either heads or tails so you need to show all of the possibilities and B and C repeat possibilities
The formula for the volume of a sphere is V=4/3πr³, where V is the volume and r is the radius. Solve the formula for r, and then use it to answer the question.
The volume of a soccer ball is about 371 cubic inches.
What is the radius of the soccer ball, to the nearest tenth of an inch? Use 3.14 for π. Help.
Answer:
4.5 inches to the nearest tenth
Step-by-step explanation:
V=4/3πr^3
Divide both sides by 4/3π:
r^3 = V / 4/3π
r = ∛ (V / 4/3 π)
When V = 371 inches:
r = ∛ (371/ 4/3 π)
= 4.46 in
Answer:
B. 4.5 inStep-by-step explanation:
volume of sphere V = 4/3 π r³
where V = 371 in³
π = 3.14
find: radius r
solution:
371 = 4 (3.14) r³
3
simplify:
371 (3) = 4(3.14) r³
371 (3) = r³
4(3.14)
r³ = 1113
12.56
r = [tex]\sqrt[3]{88.61}[/tex]
r = 4.5 in. therefore, the answer is B.
Linear functions are expressed by the graph and equation. Select all that apply.
The slope is positive for both functions.
The equation has a steeper slope than the line in the graph.
The y-intercept is the same for both.
The graph and the equation express an equivalent function.
Answer:
C and D
Step-by-step explanation:
Answer:
a and c
Step-by-step explanation:
Find the value of X
105
95
95
125
C 55
C 60
C 85
C 120
Answer:
C) 55
Step-by-step explanation:
The angle to the left of x is equal to 125 because it is across from 125 and the sides of this pentagon are equal
x and 125 would equal 180 because they form a straight line
therefore:
x + 125 = 180
x = 55
Answer:
55
Step-by-step explanation:
because it's a straight line so it has to be 180
solve these last two
Answer: 24) B 25) B
Step-by-step explanation:
24. option B
When x = 8, y = 4
25. option B
When y = 4, x = 9 and x = 8
Adding a number and its opposite is called
Answer:
additive inverse
Step-by-step explanation:
A moving box is in the shape of a cube. It’s volume Is 216 cubic feet. What is the area of one face of the tank?
Answer:36
Step-by-step explanation:
The cruise ship has 2,067 passengers that will be boarding on Saturday. Each passenger is allowed to have 3 bags each. What is the maximum number of passenger bags that the cruise ship will be carrying?
Answer: 6201 bags
Step-by-step explanation:
2,067 passengers x 3 bags each = 6,201 bags
Answer:
6201
Step-by-step explanation:
No. of passengers = 2067
No. of bags each = 3
Therefore, total bags = 2067 × 3 = 6201
Help please on ALL!!!!!!
Answer:
How can we insert a chart??
Step-by-step explanation:
Solve 3(x + 2) = 5x + 10
x = 3
x = 2
x = -4
x = -2
**giving BRANIEST to FIRST to answer**
Answer:
x = -2
Step-by-step explanation:
3(x + 2) = 5x + 10
3x + 6 = 5x + 10
3x - 5x = 10 - 6
-2x = 4
x = 4 ÷ -2
x = -2
Plz answer it’s timed
Answer:
I think its b
Step-by-step explanation:
I think its b
If a laptop originally costs $800, the balance due after the 10% discount and $150 gift card is applied is what
Answer:
570$
Step-by-step explanation:
Fill in the missing term on each line. Simplify any fractions. 2s+13=17
Answer:
s = 2
Step-by-step explanation:
2s + 13 = 17
17 - 13 = 2s
17 - 13 = 4
2s / 2 = s
4 / 2 = 2
s = 2
Drag and drop numbers into the boxes to complete and solve the equation for the situation.
One month, Ruby worked 8 hours more than Isaac, and Svetlana worked 4 times as many hours as Ruby. Together they worked 148 hours. Find the number of hours each person worked.
Answer:
isaac worked 18 hours
ruby worked 26 hours
Svetlana worked 104 hours
Step-by-step explanation:
x+(x+8)+4(x+8)=148
x+x+8+4x+32=148
6x+40=148
6x=108
x=18 (isaac)
18+8=26 (ruby)
26×4= 104 (svetlana)
Which expression results from using the Distributive Property of Multiplication over Addition to simplify
4.7(-8.9+2.6)?
a. 4.7(11.5)
b. 4.7(-8.9) + 2.6
c. 4.7(-8.9)+4.7(2.6)
d. 4.7(-6.3)
50 POINTS!!
The function f(x) = 5(2)* represents the number of bacteria, f(x), growing in a culture after x hours. How many bacteria are in the culture after 3 hours? Enter your response here: Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, .,-, and / are allowed in your answer. Answers that are mixed numbers must be entered as an improper fraction or a decimal.
Answer:
If it's
F(x)=5x
Then f(3)=15
Step-by-step explanation:
3 times Marie’s age is equal to 50 plz show ur work need it now
Answer:
about 16.67 or 16 2/3
Step-by-step explanation:
just divide 50 by 3: 50/3= 16 2/3
Divide, and then round the answer to two decimal places:
0.6256108÷0.527
Answer:
1.19
Step-by-step explanation:
0.6256108÷0.527=
1.187117268=
1.19
5 - x = 1/ 2 x + 4 what is the answer?
Answer:
x=2/3
Step-by-step explanation:
t took Mr. Phillips 1.6 hours to run the 13.2 miles. What was his average speed? *
Answer:
8.25 miles per hourStep-by-step explanation:
aver. speed = distance over time
where distance = 13.2 miles
time = 1.6 hours
plugin values into the formula+
speed = 13.2 miles
1.6 hours
= 8.25 miles per hour
6. a Suppose the measure of an angle is 25°. What is the measure of its complementary angle?
Answer:
65
Step-by-step explanation:
a complementary angle is either of two angles whose sum is 90°.
90 - 25 = 65
Answer:
65°
Step-by-step explanation:
A pair of complementary angles' measurements combined is equal to 90° in measurement. One of the angles given is 25°. To find the other one, simply subtract 90 with 25:
90 - 25 = 65
65° is the measurement of the complementary angle.
~
Write an interpretation of the statement f(5)=25
Answer:
The answer is 5xf =25 f=5
Step-by-step explanation:
25 ÷ 5 = 5
