Answer:
About 29 feet.
Step-by-step explanation:
tan 60 = 50 / h
h = 50/ tan 60
= 28.87 ft
the eighth grade at byrnade Junior high school has 464 students. There are 212 more boys than girls. how many boys are there?
Answer: 338 boys
1) Formulate an equation
The total students at Byrnade Junior High School is 464. Let girls equal x. If girls equal x and there are 212 more boys than girls, then boys should equal 212 + x. (212 + x) and x equal 464. Therefore, our equation would be (212 + x) + x = 464.
2) Isolate the variable
Simplify the equation to 212 + 2x = 464. Subtrac 212 on both sides to get 2x = 252. Divide 2 on both sides to get x = 126.
3) Plug the variable
Because x = 126, we can plug 126 into (212 + x) + x = 464 to get (212 + 126) + 126 = 464. We need to primarily focus on (212 + 126), because the question is asking for how many boys are there. 212 + 126 = 338. So, your answer should be 338 boys.
I got a question saying 1 Billon times 43 Millon, how is anyone appost to know this
[tex]1000000000 \times 43000000 = 43000000000000000[/tex]
Two person Pratham and Roshan are 64 km apart. If they walk in opposite direction then they will meet in 4 hours and in the same direction they will meet in 16 hours. Find their separate velocity.
Using the relation between velocity, distance and time, it is found that:
Pratham has a velocity of 10 km/h.Roshan has a velocity of 6 km/h.What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
[tex]v = \frac{d}{t}[/tex]
In opposite directions, the relative velocity is [tex]v = v_1 + v_2[/tex], and the 64 km are run in 4 hours, hence:
[tex]v_1 + v_2 = \frac{64}{4}[/tex]
[tex]v_1 + v_2 = 16[/tex]
[tex]v_1 = 16 - v_2[/tex]
In the same direction, the relative velocity is [tex]v = v_1 - v_2[/tex], and the 64 km are run in 16 hours, hence:
[tex]v_1 - v_2 = \frac{64}{16}[/tex]
[tex]v_1 - v_2 = 4[/tex]
Since [tex]v_1 = 16 - v_2[/tex]:
[tex]16 - v_2 - v_2 = 4[/tex]
2v2 = 12.
v2 = 6.
v1 = 16 - 6 = 10 km/h.
Hence:
Pratham has a velocity of 10 km/h.Roshan has a velocity of 6 km/h.More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569
The sum of two numbers is 39. The larger number is 11 more than the smaller number. What are the numbers?
Larger number: ?
Larger number: ?
Answer:
Larger number = 25
Smaller number = 14
Step 1. Establish variables and system of equations
Larger number = x
Smaller number = y
&
x + y = 39
y + 11 = x
Step 2. Isolate a variable in ONE equation
x + y = 39
y = 39 - x
Step 3. Substitute that into the OTHER equation to find x
y + 11 = x
(39 - x) + 11 = x
50 - x = x
50 = 2x
25 = x
Step 4. Substitute that into the OTHER equation to find y
x + y = 39
(25) + y = 39
y = 14
Hope this helps!
if a=6, evaluate the following expression:
10+a/4
Answer:
11.5
Step-by-step explanation:
10 + a / 4 if a = 6
10 + 6 / 4
10 + 1.5
11.5
I hope this helps! Have a lovely day!! :)
Answer:
23/2 or 11.5
Step-by-step explanation:
Simplify 6/4 --> 3/2
Convert 10 into a fraction --> 20/2
20/2 + 3/2 = 23/2
30 POINTS! Explanation too, please!
Point A' prime is the image of point A under a rotation about point P. Determine the angles of rotation. Choose all answers that apply: (Choice A) 90 degrees clockwise (Choice B) 90 degrees counterclockwise (Choice C) 180 degrees (Choice D) 270 degrees clockwise (Choice E) 270 degrees counterclockwise
What's the value f x?
[tex]5x-6=3x-8[/tex]
Answer:
-1Step-by-step explanation:
Given equation,
⇒ 5x - 6 = 3x - 8
Subtracting 3x from both sides :
⇒ 5x – 6 – 3x = 3x – 8 – 3x
⇒ 2x – 6 = – 8
Adding 6 to both sides we get :
⇒ 2x – 6 + 6 = – 8 + 6
⇒ 2x = – 2
Dividing both sides by 2 we get :
⇒ 2x/2 = – 2/2
⇒ x = – 1
Therefore,
The value of x is -1Answer:
[tex]\sf \boxed{\bold{x=-1}}[/tex]
Solving Stepwise:
[tex]\dashrightarrow \sf 5x-6=3x-8[/tex]
add 6 on both sides
[tex]\dashrightarrow \sf 5x-6+6=3x-8+6[/tex]
simplify
[tex]\dashrightarrow \sf 5x=3x-2[/tex]
subtract both sides by 3x
[tex]\dashrightarrow \sf 5x-3x=3x-2-3x[/tex]
simplify
[tex]\dashrightarrow \sf 2x=-2[/tex]
divide both sides by 2
[tex]\dashrightarrow \sf \dfrac{2x}{2} =\dfrac{-2}{2}[/tex]
simplify
[tex]\dashrightarrow \sf x =-1[/tex]
Check for the answer:
insert x = -1
[tex]\hookrightarrow \sf 5(-1)-6=3(-1)-8[/tex]
[tex]\hookrightarrow \sf -5-6=-3-8[/tex]
[tex]\hookrightarrow \sf -11=-11[/tex]
L.H.S = R.H.S. Hence the statement x = -1 is correct.If ∠AOC = (4x -16) and ∠BOC = 2(x + 20), Determine the value of x.
Answer:
x = 28
Step-by-step explanation:
4x-16 = 2(x+20)
4x-16 = 2x+40
Divide 2x from each side:
2x-16 = 40
Add 16 to each side:
2x = 56
Divide each side by 2:
x = 28
please help!!!!!!!!!! hurrrrrryyyyyyy!!!!!!!!!!!
Answer:
∠ ABC = 60°
Step-by-step explanation:
the measure of an inscribed angle is hal the measure of its intercepted arc.
∠ ABC = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × 120° = 60°
Answer:
Step-by-step explanation:
The measure of the inscribed angle is half the measure of intercepted angle.
∠ABC [tex]= \dfrac{1}{2} * 120\\[/tex]
= 60°
The mathematic department of a college has 14 male professors, 12 female professors , 14 male teaching assistants , and 11 female teaching assistants. If a person is selected at random from the group, find the probability that the selected person is a
Professor or a male
The probably be an integer or a traction Simptly you answer)
Answer:
Male
Step-by-step explanation:
There are 28 males and 26 professors so you are more likely to choose a male rather than professor of any other gender!
if the premium for same day shipping is 200%. what is the cost to ship 2200 lbs of goods from Dallas to Nashville using same day shipping? if the answer is d.$15,840 what is the appropriate formula to solve?
from Chicago to Atlanta is 700 miles, so in plain-vanilla shipping costs for that will be $240 per every 100 lbs.
if we're shipping 2,000 lbs, hmmm that's 2000/100 = 20, so 100 lbs 20 times, so our plain-vanillla cost will be 20 * 240 = 4800 bucks.
Now, we're Da Bomb, and hell, why not, let's ship it on a 3-5 day, but that has a Premium of an extra 20%, hmmm that means our cost using 3-5 days service is 4800 + 20%.
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 4800}}{\left( \cfrac{20}{100} \right)4800}\implies 960~\hfill \underset{final~cost}{\stackrel{4800~~ + ~~960}{5760}}[/tex]
Write the equation of a cubic function f(x) that has zeros x = –3, x = –1 and x = 2. Please show work
Answer:
f(x) = (x +3)(x +1)(x -2)
Step-by-step explanation:
When 'a' is a zero of a polynomial function in x, the binomial (x -a) is a factor of the polynomial.
__
The three zeros give rise to a polynomial with three factors:
f(x) = (x -(-3)) · (x -(-1)) · (x -2)
f(x) = (x +3)(x +1)(x -2) . . . . . your cubic function
__
This can be expanded using the distributive property.
f(x) = (x² +4x +3)(x -2) = x³ +4x² +3x -2x² -8x -6
f(x) = x³ +2x² -5x -6 . . . . . standard form
Given a+b=7; a-b=3, find the following, 3^a divided by 3^b
Answer:
27
Step-by-step explanation:
a+b=7; a-b=3
Add the two equations together
a+b=7
a-b=3
----------------
2a + 0b = 10
2a = 10
Divide by 2
2a/2 = 10/2
a = 5
a+b = 7
5+b = 7
b = 7-5
b = 2
3^a / 3^b = 3^(a-b) = 3^(5-2) = 3^3 = 27
sec x * cos x =
How do I solve this:/
Answer: [tex]cot(x)[/tex]
Step-by-step explanation:
Secant is defined as the inverse of sine. Mathematically:
[tex]secant=\frac{1}{sine}[/tex]
Therefore, rewriting the intial equation, you get:
[tex]sec(x)cos(x)=\frac{cos(x)}{sin(x)}[/tex]
This might seem random, but you should know that tangent is defined as:
[tex]tangent=\frac{sine}{cosine}[/tex]
Our answer is the inverse of tangent. The inverse of tangent is the definition of cotangent:
[tex]\frac{cos(x)}{sin(x)}=cot(x)[/tex]
John Travolta flew his plane last weekend. What would be the angle measure of∠x when his plane reached an altitude of 2500m?
Answer:
67°
Step-by-step explanation:
Ignore the 2500m for now.
To find angle x, we know that the sum of the degrees in a triangle is 180. We see that under the 2500m there is a square, indicating that the angle is 90 degrees.
So we can do 180-23-90 = 67.
Therefore, the angle measure of ∠x is 67°
The graph represents a cubic function. Write the function.
Zeros are
(0,0)(-3,0)(-4,0)Write in factor form and solve
(x-0)(x-(-3))(x-(-4))=0x(x+3)(x+4)=0x[x(x+4)+3(x+4)]=0x(x²+4x+3x+12)=0x(x²+7x+12)=0x³+7x²+12x=0Points given (-2,16)
Solve for n
n(x³+7x²+12x)=yOn solving we get
n=-4So the function is
y=-4(x³+7x²+12x)y=-4x³-28x²-48xAnswer:
-4x³ - 28x²- 48x
Explanation:
x-intercept: (-4, 0), (-3, 0), (0, 0)→ so equation: a(x+4)(x+3)(x+0)
point given: (-2, 16)→ substitute these points to find a
a(-2+4)(-2+3)(-2) = 16a = -4so the graphed cubic equation:
-4(x+4)(x+3)(x+0)-4x³ -28x²-48xIf a=2, b=-1 and c= 1, then find the value of:
A- a+b-c²
B- a³-b+c
C- a-b-c
A- a+b-c²
=2+(-1-1)^2
=1-1
=0
B-a³-b+c
2^3-(-1+1)
=8+1+1
= 10
C-a-b-c
2-(-1-1)
=2+1-1
=2
A report says that the average amount of time a 10-year-old American child spends playing outdoors per day is between 20.18 and 24.96 minutes. What is the margin of error in this report
Answer:
The study, The Nature of Americans National Report, found that more than half of adults reported spending five hours or less in nature each week, and being satisfied with this small amount of time spent outdoors.
Step-by-step explanation:
The margin of error in the report is 2.39.
What is the margin of error?The margin of error is a statistic that describes how much random sampling error there is in survey data.
Given that, the upper interval is 24.96 and the lower interval is 20.18.
The margin of error is half of the difference between the upper and the lower interval.
Therefore, the margin of error is:
Margin of error = (24.96 - 20.18)/2
= 4.78/2
= 2.39
Hence, the margin of error in the report is 2.39.
Learn more about the margin of error:
https://brainly.com/question/10501147
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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPp
Answer:
76 in^2
Step-by-step explanation:
2 rectangles on the sides: 64 in^2
8x4 = 32
32x2 = 64
rectangle in the middle: 12 in^2
4x3 = 12
altogether area: 76 in^2
64+12 = 76
Pleaseeeeeeee i need some help hereeeeeeee
Answer:
Attached image
Step-by-step explanation:
Convert 3/4 to 6/8, then count out the points on the line for each number to plot it.
Answer:
There are 8 tick marks, so......
2.75 would go on the 6th tick mark between 2 and 3
1.625 would go on the fifth mark between 1 and 2
For clarification, I have graphed it out below!
Hope this helps!
Are the expressions 5(3a+2) and 15a+2 equivalent? Justify your answer.
SOLVE equations, SHOW WORK, AND EXPLAIN
Answer:
They are not equivalent.
Step-by-step explanation:
5(3a+2)=15a+10
15a+10≠15a+2
Answer:
not equivalent.
Step-by-step explanation:
5(3a+2). multiply the 5 into the parenthesis, so multiply it by both numbers.
15a+10≠15a+2
if you wanted to go further, since 15a is equivalent, just take it out.
10≠2
Distribute to create an equivalent expression with the fewest symbols possible.
6(5x -3) =6 helpppp
Answer:
x=4/5
Step-by-step explanation:
Add 18 to both sides and simplify
Identify any intervals of increase y = -4(x –3) ^2
Answer:
-4
Step-by-step explanation:
<symbol means squared or increase and so does ( )
Please help me with this please and thank you
Answer:
Step-by-step explanation:
Answer A represents an exponential equation; see below for a demo.
In Answer A we have (1, 3), (2, 3²), (3,3³)
What are the slope and y-intercept of the line y=x+3?
slope
y-value of y-intercept
Find the missing angle.
Answer:
y=51, z and x= 129
Step-by-step explanation:
its complicated, but try to think of it as 51 and x/z are complementary angles, meaining they are on the same line, which means they equal 180, which makes this easier to solve meaning all you have to do is subtract 180-51=129.
I need the vocab word for problems 5-8
Answer:
5. Foci, 6. eccentricity, 7. Center, 8. HyperbolaStep-by-step explanation:
Below statements include the required information or property
5. An ellipse is "the set of all points in a plane such that the sum of the distances from two fixed points (foci) is constant".6. In an ellipse, the ratio c/a is called the eccentricity and is denoted by the letter e . Eccentricity measures the elongation of an ellipse. The closer e is to 0, the more an ellipse looks like a circle.7. A circle is a set of all points in a plane that are all an equal distance from a single point, the center.8. Hyperbolas have a center and two foci, but they do not form closed figures like ellipsesPeople help me !!!!!!
Answer:
A
Step-by-step explanation:
Find Θ from the problem by using arcos. Find that Θ=64.158....
plug this into cos(Θ) and find that cos(Θ)= [tex]\frac{\sqrt{19} }{10}[/tex] or 0.43589. A is the only answer choice with this so it must be correct.
Need help graphing!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
plot the points
0,0
1,3
2,6
3,9
if anything else is needed inform me.
A shipping container has a base area of 25.5 square yards and a height of 3.5 yards.
What is the volume of 3 of these shipping containers?
Enter your answer as a decimal in the box.
The volume of 3 of shipping containers 267.75 cubic yards.
We need to find the volume of one shipping container and then multiply it by 3 to find the volume of three shipping containers.
Find the volume of one shipping container.
Volume = Base Area × Height
Volume = 25.5 square yards × 3.5 yards
Calculate the volume.
Volume = 89.25 cubic yards
Find the volume of three shipping containers.
Total Volume = Volume × Number of Containers
Total Volume = 89.25 cubic yards × 3
Calculate the total volume.
Total Volume = 267.75 cubic yards.
For similar question on volume.
https://brainly.com/question/12410983
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