Answer:
The answer is option 2.
Step-by-step explanation:
First, you have to find the height of the triangle using Cosine Rule, cosθ = adjacent/hypotenuse :
[tex]cos(θ) = \frac{adj.}{hypo.} [/tex]
[tex]θ = 30,adj. = h,hypo = 18[/tex]
[tex] \cos(30) = \frac{h}{18} [/tex]
[tex]18 \cos(30) = h[/tex]
[tex]h = 9 \sqrt{3} \: m[/tex]
Next, you have to find the area of triangle using Sin Rule, Area = 1/2×a×b×sinC where a, b represent the side length of the angle and C is the angle :
[tex]area = \frac{1}{2} \times a \times b \times sin(C)[/tex]
[tex]let \: a = 9 \sqrt{3} ,b = 18,C = 30[/tex]
[tex]area = \frac{1}{2} \times 9 \sqrt{3} \times 18 \times \sin(30) [/tex]
[tex]area = 70.1 \: {m}^{2} \: (near.tenth)[/tex]
Answer:
70.1
Step-by-step explanation:
This is a 30-60-90 right triangle.
The ratio of side lengths is as follows:
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
The short leg is 1/2 the hypotenuse.
The long leg is sqrt(3) times the short leg.
A = bh/2
A = (18/2)(18/2 * sqrt(3))/2
A = 70.1
LO bisects NLM, Lm = 22, NO = 6, and LN = 14. What is the approximate value of x? A. x = 3.8 B. x = 9.4 C. x = 51.3 D. x = 73.3
14/6 = 22/x
Cross multiply:
14x = 132
Divide each side by 14
x = 9.4
Kara has twenty-four thousand, five hundred sixty stickers in her album.
Raul has 20,000 + 4,000 + 500 + 60 stickers in his collection.
Answer:
they are both the same thing the first one with kara is in numbers and with raul it is in words
Step-by-step explanation:
hope i helped and have a great day :)
Gracie, Mary, and Nancy each have a small collection of seashells. Gracie has 5 more than times the number of shells Mary has. Nancy has 1 more than times the number of shells Mary has. Gracie and Nancy have the same number of shells. If x is the number of shells Mary has, identify the equation that represents this situation and identify its solution.
Answer:
Answer is x = 24
Matches 3/2 x +1 = 4/5x-5
Step-by-step explanation:
We start with Mary 3/2x = 24 as 24/1.5 = 16 and 16 x 1/2 = 8
where 16 is 2/2 and 1/2 of 16 = 8
We find Nancy add 1 = 25 as 25/1.5 = 16.666.. and 1/2 = 8.333.
When 1 is added its done at end of both equations as multiplication occurs before hand.
Gracie has the same as Nancy = 5x+5 means 25 x 5 = 250+5 = 255 each.
50 x 5 = 250 + 5 +5= 510
510 + 24 + 1 = 535 seashells.
Because
24 + 1 = 25
matches
5/4 of 24 = 30
30 - 5 = 25
x=16 is the equation that represents this situation and identify its solution.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let x be the number of shells Marry has.
Gracie has 5 more than times the number of shells Mary has.
Gracie = 1 1/4x + 5
Nancy = 1 1/2x+ 1
Now we have given that: Gracie =Nancy
[tex]1\frac{1}{4}[/tex] x + 5 = [tex]1\frac{1}{2}[/tex]x + 1
5/4x + 5 = 3/2x + 1
5x + 20 = 6x + 4
Subtract 6x and 20 on both sides
5x - 6x = 4 - 20
-x = - 16
x = 16.
Hence, x=16 is the equation that represents this situation.
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Easy question
I need the answers only for (d) and (e) parts.
plz help
will give the brainliest
Need explanation.
Please answer correctly.
Answer:
d)33
e)80
Step-by-step explanation:
I'm sorry I don't really know how to explain this.
If for [tex] x[/tex] cumulative frequency the marks are $y$ (as given on the graph), we have $x$ students with marks equal to or less than $y$
d)
Total students are $140$. Hence three-fifths of that is $140\times \frac{3}{5}=84$. Find the marks at $84$ in the graph for the passing marks.
e)
From the graph we have $60$ students having less than or equal to $30$ marks. Total students are $140$.
Subtracting, $140-60=80$ we get the numbee of students achieving more than 30 marks.
Find the number of four-digit numbers which are not divisible by 4?
PLEASE HELP ASAP!!!
Answer:
i dont see the numbers
Step-by-step explanation:
Answer:
6750
Step-by-step explanation:
The first four-digit number divisible by 4 is 1000.
The last four-digit number divisible by 4 is 9996.
Modeling this as an arithmetic sequence, the nth term is:
a = 1000 + 4(n − 1)
So the number of terms is:
9996 = 1000 + 4(n − 1)
8996 = 4(n − 1)
2249 = n − 1
n = 2250
There are 2250 four-digit numbers that are divisible by 4. Since there are a total of 9000 four-digit numbers, that means there are 6750 four-digit numbers that are NOT divisible by 4.
What is the value of the expression in the image? A. 216 B. 224 C. 666 D. 678
Answer:
C. 666
Step-by-step explanation:
USING PEMDAS we can solve this problem.
[tex]675-(15-12)^3 / 3\\15-12=3\\675-(3)^3/3\\675-27/3\\675-9=666[/tex]
Answer:
666
Step-by-step explanation:
Following Order of Operations rules (PEMDAS), we must do first any operations that appear inside parentheses. Here (15 - 12) = (3).
Next we must perform any exponentiation. Here we have 3^3 = 27.
Then we have 675 - 27 / 3, or 666 (Answer C)
Solve 2x^2+12=x−3 help
Answer:
x = 1 ±[tex]\sqrt{119i}[/tex]/ 4
Step-by-step explanation:
[tex]2x^{2} -x +15[/tex] = 0
Use the quadratic formula:
x = 1 ±[tex]\sqrt{119i}[/tex]/ 4
I hope this helps...
And plz mark me brainliest!!1
The center of a circle is at the origin on a coordinate grid. The vertex of a parabola that opens upward is at (0.9). If the
circle intersects the parabola at the parabola's vertex, which statement must be true?
Answer:
The circle has radius = 9 units, and its equation is:
[tex]x^2+y^2=81[/tex]
The parabola has equation of the form:
[tex]y=a\,x^2+9[/tex]
with [tex]a[/tex] being a positive number
Step-by-step explanation:
Given the characteristics of the two figures (circle and parabola) as described,
since the parabola intersects the circle at a single point (it vertex) then the radius of the circle centered at the origin must be 9. that makes the equation of the circle to have the following standard form;
[tex]x^2+y^2=9^2\\x^2+y^2=81[/tex]
Since there is no other info regarding the parabola, the most one can say about the equation of the parabola, is that in vertex form, the parabola's equation must be of the form:
[tex]y=a\,(x-x_{vertex})^2+y_{vertex}\\y=a\,(x-0)^2+9\\y=a\,x^2+9[/tex]
with [tex]a[/tex] being a positive number.
Write an absolute value equation to satisfy the given solution set shown on a number line. PLEASE HELP
Answer: Ix - 4I ≤ 4
Step-by-step explanation:
You can see a black dot in the zero, and a black dot in the 8.
So those are the extremes of our set and are included in the set of solutions, we have that the set is defined by:
0 ≤ x ≤ 8.
Now we want to construct an absolute value equation such that the set {0 ≤ x ≤ 8} is the set of solutions.
The first step is to find the middle value of that set:
The middle value is equal to half of the difference between the extremes:
m = (8 - 0)/2 = 4.
Now we know the middle point, so we can write the equation:
Ix - mI ≤ m
m = 4
Ix - 4I ≤ 4
That is our inequality.
Where the "equal" part of ≤ is for the values x = 0 and x = 8.
Explain how to solve 5x2-3x = 25 by completing the square. What are the solutions?
Answer:
x= 3 +√509/10
Or
x= 3 - √509/10
Step-by-step explanation:
Given:
5x2-3x = 25
Using completing the square method of solving quadratic equation
Step 1: Factor out the coefficient of the x^2 term.
5(x^2 - 3x/5) = 25
Step 2: Add a number that would complete the square inside the parenthesis and also add this to the other side of the equation.
Take (1/2) of (3/5)
1/2 × 3/5
= 3/10
Square 3/10
We have, 9/100
We have,
5(x^2 - 3x/5 + 9/100) = 25 + 9/100
Step 3: Simplify
x^2 - (3/5)x + 9/100 = 25 + 9/100
5(x^2 - 3x/5 + 9/100) = 5 + 9/20
Step 4:
factor the right side
(x - 3/10)^2 = 509/100
Take both roots
√ (x - 3/10)^2 = √509/100
x - 3/10 = ±√ [509/100]
x = [ 3 ±√509 ] / 10
x= 3+√509/10
Or
x= 3 - √509/10
What is the result of subtracting the second equation from the first?
Answer: 11x - 8y = -9
Step-by-step explanation:
Subtract it by terms.
8x - (-3x) = 11x
-4y - (4y) = -8y
-4-5= -9
order it
11x - 8y =-9
The vertex formation of a parabola is x = 8(y- 1)2-76.
What is the standard form of the equation?
Answer:
[tex]\boxed{x=8y^2-16y-68}[/tex]
Step-by-step explanation:
Hello, please consider the following.
[tex]x=8(y- 1)^2-76\\\\x=8(y^2-2y+1)-76\\\\x=8y^2-16y+8-76\\\\\boxed{x=8y^2-16y-68}[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
(08.06 MC)
Use the graph to approximate the ordered pair where the exponential function begins to exceed the quadratic function.
ty
15
18
t
16
14
f(x)
Jestion
Question 1 (Answered)
0
Answer:
(3.5, 17)
Step-by-step explanation:
It would be nice to see the whole graph, so we can see where the functions cross.
Without that information, we can still eliminate unreasonable choices.
A) the quadratic at y=3.5 is well above the exponential
B) the most likely choice (3.5, 17)
C) at x=-8, the quadratic is above the exponential
D) neither graph goes anywhere near y = -8
help i want help i want help
Answer:
[tex] \boxed{127 \: {in}^{2} }[/tex]Option A is the correct option.
Step-by-step explanation:
Surface area of the rectangle base = 9 × 5 = 45 in²
Surface area of lateral square = ( 5 )² = 25 in²
Surface area of lateral rectangle = 6.4 × 5 = 32 in²
Surface area of top square = ( 5 )² = 25 in²
Surface area of two parallel trapezoids:
[tex] (\frac{1}{2} (9 + 5) \times 5) \times 2[/tex]
= 7 × 5 × 2
= 70 in²
Total surface area:
= 45 + 25 + 32 + 25 + 70
= 197 in²
Hope I helped!
Best regards!
Dilate line f by a scale factor of 3 with the center of dilation at the origin to create line f'. Where are points A' and B' located after dilation, and how are lines f and f' related?
Answer:
a 0,1 and b 1,0
Step-by-step explanation:
exam took
Answer:
The other answer is incorrect the answer is
D) The locations of A' and B' are A' (0, 6) and B' (6, 0); lines f and f' are parallel.
On a map’s coordinate grid, Panthersville is located at (−3, 2), and Heel City is located at (4, 8). Falconton is the midpoint between Panthersville and Heel City. What is the approximate distance from Panthersville to Falconton? (Each unit on the grid represents 1 mile.) A. 3.25 miles B. 4.61 miles C. 5.00 miles D. 9.22 miles
Answer:
The approximate distance from Panthersville to Falconton is: B: 4.61 miles.
Step-by-step explanation:
Objective: Find the distance from Panthersville to Falconton. (Which is just half of the distance from Panthersville to Heel City because Falconton is the midpoint between both cities.)
First we need to find the distances from Panthersville to Heel City, which we are given the coordinates. ( Panthersville (-3,2) & Heel City (4, 8) )
-To find the distance between the two cities we use the distance formula:
d= √(x2 - x1) ^2 + (y2 - y1)^2 , so we set (-3,2) as x1 and y1 while (4,8) x2 and y2 and we just plug it in.
Once we plug it in we get:
d= √(4 - -3)^2 + (8 - 2) ^2
Then we solve the numbers in the parenthesis (4 - -3) = 7 and (8 - 2) = 6 so now we have:
d= √(7)^2 + (6) ^2
Next we solve for the exponents (7)^2 = (7 x 7 = 49) and (6)^2 = ( 6 x 6= 36) now it look like this:
d= √49 + 36
After that we just add both numbers together (49 + 36) = 85
d= √85
Now all we have to do is square root 85 which is just 9.219544457, just round it to the nearest hundredth and you will get 9.22.
So the distance from Panthersville to Heel City is about 9.22 miles.
Now we found the full distance we now need to find the distance from Panthersville to Falconton which is just half of that distance due to Falconton being the midpoint.
All we have to do is divide 9.22 by 2 and we get 4.61.
The distance from Panthersville to Falconton is 4.61 miles.
HELP HELP HELP HELP HELP HELP!!! What symbol is needed between –2 ? |–3| to make a true statement?
Answer:
[tex]\boxed{<}[/tex]
Step-by-step explanation:
[tex]-2 \ ? \ |-3|[/tex]
[tex]\sf Solve \ absolute \ value.[/tex]
[tex]|-3|=3[/tex]
[tex]-2 < 3[/tex]
[tex]\sf -2 \ is \ less \ than \ 3.[/tex]
Answer:
<
Step-by-step explanation:
|-3| = 3
-2 < 3
Sally is swimming in a race that has 5 laps. Swimming 2 lengths of the pool
counts as one lap. If Sally is halfway through the fourth lap, what fractional
part of the total laps in the race is left for Sally to finish?
Answer:
3/10
Step-by-step explanation:
Sally has to run 5 laps(2000m)
One lap = 400m
So we multiply 3.5( 3 1/2) [this the the distance Sally ran] by 400
The answer we get is 1400( this the total distance in meters she ran)
Next we subtract 1400( total distance she ran in meters) from 2000(total distance in meters she needs to complete.
The answer we get is 600 meters( this is the distance she is left with)
As a fraction is 600/2000
THE ANSWER REDUCED TO ITS LOWEST TERM IS 3/10.
Answer:
3/10
Step-by-step explanation:
if all the possible values of x are indicated by the shaded part of the number line above, which number line best shows all possible values of 1/x? (the shaded part in the number line is 0.5 to 1.5, the whole number line segment is from 0 to 3)
Answer:
can i see a picture of the number line?
Step-by-step explanation:
pLZZ i really need help my assignment past due and i just have one more question, please thankyou!!!!!!!!
Answer:
the answer is c
Step-by-step explanation:
convert the fractions to improper fractions 4/3 and 7/4 then multiply these fractions. youll get 28/ 12 and simplify to 2 1/3
Answer:
C
Step-by-step explanation:
So first, we should probably un-mix those fractions. So, we get:
4/3 x 7/4.
Multiplying this out, we get 28/12. Simplifying, we can get 2 1/3, which is C.
Sam's Lawn Service uses the equation, y = 15x + 25 to calculate the cost, y, to work on a
customer's lawn for x number of hours.
Ron's Lawn Service uses the table below to calculate the cost to work on a customer's
lawn.
Answer:
Rons costs less by 4 dollars
Step-by-step explanation:
Sams
y = 15x+25
x=3
y = 15*3+25
= 45+25
=70
Rons
Using averaging
for 3 hours Add 2 and 4 hours and divide by 2
(49+ 83) / 2 = 132/2= 66
Rons costs less by
70-66 =4
Find the length of KE. A. 30 B. 28 C. 15 D. 3
Answer:
28
Step-by-step explanation:
What value of p makes both sides equal the same? P = 3
37 - 9 = 28
21 + 7 = 28
So line KE and BE both equal 28
Hope this helps, and have a good day :)!
The length line KE and BE both equal 28.
Option (B) is correct.
Find the length of KE.
What is angle?Figure which is formed by two rays or lines that shares a common endpoint.
Given that:
Let the value of
P = 3
Put the value of P
37 - 9 = 28
21 + 7 = 28
So, line KE and BE both equal 28
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Simplify the expression where possible. (r^-3 s^2 t)^4
Answer:
[tex]\frac{(s^8t^4)}{r^{12}}[/tex]
Step-by-step explanation:
Assuming that you tried to write:
[tex](r^{-3} s^2 t)^4,[/tex]
we can multiply the 4 on the outside of the parenthesis to all the terms. Multiplying, we get
[tex](r^{-12}s^8t^4)[/tex]
Because you don't want any negative powers in the top, we can move it down to get:
[tex]\frac{(s^8t^4)}{r^{12}}[/tex]
Answer:
there is no sign in between the two terms in the parenthese, maybe a google search on the properties of exponents would help because that's what this seems like
Step-by-step explanation:
what is 3 2/7 x 2 4/5 (Answer with a mixed number in simplest form) Thankyou!!
Answer:
9 1/5
Step-by-step explanation:
3 2/7 * 2 4/5
Change to improper fractions
( 7*3+2)/7 * ( 5*2+4)/5
23/7 * 14/5
Rewriting
14/7 * 23/5
2 * 23/5
46/5
Changing back to a mixed number
5 goes into 45 9 times with 1 left over
9 1/5
The product of 3 2/7 and 2 4/5 is 9 1/5 in simplest form as per the concept of simplifying fractions.
To multiply the mixed numbers 3 2/7 and 2 4/5, we need to convert them to improper fractions and then perform the multiplication.
First, convert 3 2/7 to an improper fraction:
3 2/7
= (3 x 7 + 2) / 7
= 23/7
Next, convert 2 4/5 to an improper fraction:
2 4/5
= (2 x 5 + 4) / 5
= 14/5
Now, multiply the two improper fractions:
(23/7) x (14/5) = (23 x 14) / (7 x 5)
= 322/35
To simplify the resulting fraction, we find the greatest common divisor (GCD) of the numerator (322) and the denominator (35), which is 7. Divide both the numerator and the denominator by the GCD:
322/35
= (322/7) / (35/7)
= 46/5
Now, express the improper fraction as a mixed number:
46/5 = 9 1/5
Therefore, the product of 3 2/7 and 2 4/5 is 9 1/5 in simplest form.
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If you're good at angles of elevation pls help meeee
Adam notices that the angle of elevation to the top of a building is 22 degrees. He walks 120m towards the building and the angle of elevation is now 28 degrees. How tall is the building?
Answer:
202m
Step-by-step explanation:
Please see attached picture for full solution.
Let x meters be the height of the building.
Amir drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. He was at sea level after 30 minutes of driving. Graph the relationship between Amir's altitude relative to sea level (in meters) and time (in minutes).
Answer:
Graph these two points: (0, 360), (30, 0)
Step-by-step explanation:
Since Amir drove for 30 minutes at a rate of 12 meters, that means that he started at an elevation of 360 feet. The easiest way to graph this, is to place one dot at (0, 360), and at (30, 0).
The straight line joining the points (0, 360) and (30, 0) will be the graph.
What is the equation of a straight line? What do you mean by domain and range of a linear function?The general equation of a straight line is -
y = mx + c
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}
(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}
x/a + y/b = 1 {intercept form}
x cos(β) + y sin(β) = L {Normal form}
For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.
We have Amir who drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. He was at sea level after 30 minutes of driving.
We can write the equation of graph as -
y = - 12t + 360
At t = 0 -
y = 0 + 360
y = 360
and
at t = 30 minutes -
y = - 12 x 30 + 360
y = - 360 + 360
y = 0
The straight line joining the points (0, 360) and (30, 0) will be the graph.
Therefore, the straight line joining the points (0, 360) and (30, 0) will be the graph.
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In a Euler diagram, “No X are Y” would be represented how?
Answer: Two separated circles, one called X and the other called Y.
(so there is no element of the set X that is also in the set Y)
Step-by-step explanation:
"No X are Y"
This means that there is not a single element in the set X that is also in the set Y.
So in an Euler diagram, you can represent this as two circles, one called Y and other called X, where the circles do not intersect or touch at any point.
This particular case is represented similarly to how you would represent it in a Venn diagram
Zach keeps his pet chameleon Pinky in a terrarium with the dimensions shown below. There's sand in the bottom of the terrarium that reaches a height of 888 centimeters. Zach gets a new terrarium for Pinky that is larger. The base of the new terrarium is 252525 by 646464 centimeters. Zach moved the existing sand to the new terrarium. How deep will the sand be in the new terrarium?
Answer:
The Sand Will Be 2 inches Dip
Step-by-step explanation:
240 h = 480
=> h = 2
sorry if this didn't help :p
i need to know what the answer is!?
Answer:
2
Step-by-step explanation:
Use PEMDAS
First simplify the exponent (9)
Next multiply 5 and 3 (15)
Now add 15 and 15 (30)
Add 9 and 6 (15)
Lastly simply 30 by 15 (2)
Answer:
[tex]\boxed{A. 2}[/tex]
Step-by-step explanation:
Hey there!
Well we first need to solve the top part.
15 + 5 * 3
5*3 = 15
15 + 15 = 30
3^2 + 6
3*3 = 9
9+6 = 15
Now we have 30 ÷ 15 = 2.
Hope this helps :)
-36 4/9 - (-10 2/9)-(18 2/9)
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]-364/9-(-102/9)-(182/9)[/tex]
[tex]= \frac{148}{3}[/tex] (Decimal: -49.333333)
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
If this helped you, could you maybe give brainliest..?
❀*May*❀