Answer:
Shape of Triangular sail is Obtuse Angled Triangle.
Step-by-step explanation:
The triangle is obtuse since the sum of the squares of 2 sides are greater than the square of the third side. (Converse Pythagorean theorem) Hope this helps!
Given: Length of sides of triangular sail = 7 ft , 15 ft , 7 ft
To find: Shape of Sail .i.e., shape of triangle
We use a result which states that
if a , b , c are sides of triangle where c is greater then a & b.
now, if c² < a² + b² then triangle is Acute angled
if c² = a² + b² then triangle is Right angled
if c² > a² + b² then triangle is Obtuse angled
here a = 7 , b = 7 & c = 15
c² = 15² = 225
a² + b² = 7² + 7² = 49 + 49 = 98
since, c² > a² + b²
⇒ Triangle must be Obtuse Angled.
Therefore, Shape of Triangular sail is Obtuse Angled Triangle.
Use the given diagram to help answer the question. 2 right triangles share a side. Each triangle has a side length of 3 feet and hypotenuse of 5 feet. Sam found a tent in his garage, and he needs to find the center height. The sides are both 5 feet long, and the bottom is 6 feet wide. What is the center height of Sam’s tent, to the nearest tenth? 3 feet 4 feet 5.5 feet 7.8 feet
Answer:
4 feet
Step-by-step explanation:
Use pythagorean theorem to solve the center height of Sam’s tent.
The center height of the triangle or Sam's tent is given by AB = 4 feet
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Now , the base of the triangle is BC = 3 feet
The hypotenuse of the triangle is AC = 5 feet
And , the triangles share a common height
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
So , the height of the triangle AB = √ ( AC )² - ( BC )²
On simplifying , we get
The height of the triangle AB = √ ( 25 ) - ( 9 )
The height of the triangle AB = √16
The height of the triangle AB = 4 feet
Hence , the height of the triangle is 4 feet
To learn more about triangles click :
https://brainly.com/question/16739377
#SPJ6
1 If a rectangular pool is 15 feet long and 8 feet wide and there are 20 people in the pool; what is the density of people in the pool?
1.3 people per square foot.
2.5 people per square foot.
06 people per square foot.
.17 people per square foot.
Answer:
0.17 people / sq ft
Step-by-step explanation:
1 If a rectangular pool is 15 feet long and 8 feet wide and there are 20 people in the pool; what is the density of people in the pool?
1.3 people per square foot.
2.5 people per square foot.
06 people per square foot.
.17 people per square foot.
Density of people in pool is number of people per square foot.
area = length * width = 15 ft * 8 ft = 120 ft^2
density = people/sq ft = 20 people / 120 sq ft = 0.17 people / sq ft
Answer:
0.17 people / sq ft
Step-by-step explanation:
What are the roots of the quadratic equation below 3x2+15x-5=0
Answer:
AStep-by-step explanation:
[tex]3x^2+15x-5=0\\a = 3\\b = 15\\c = -5\\ x = -b\±\frac{\sqrt{b^{2} -4ac} }{2a} \\x = -(15)\±\frac{\sqrt{15^{2} -4(3)(-5)} }{2(3)} \\x = -15 \±\frac{\sqrt{225+60} }{6} \\x = -15\±\frac{\sqrt{285} }{6} = A[/tex]
Please help meeeee please
Answer:
14.97
Step-by-step explanation:
c^2 - a^2 = b^2
18^2 - 10^2 = x^2
324 - 100 = x^2
x^2 = 224
x = 14.97
Help idk how to do this
Answer: 58°
Step-by-step explanation:
They say the triangles are equal. And they give us more information for the triangle on the right.
∠E = ∠B
We know ∠C and ∠D, so you should add them all up to equal 180. (degree of a triangle)
74 + 48 + ∠E = 180
122 + ∠E = 180
∠E = 58
So therefore ∠B = 58
Answer:
x = 29
Step-by-step explanation:
Focus on ΔDEC first. We know that two of its angles are ∠C = 48° and ∠D = 74°.
All of a triangle's angles must add up to 180° by the Triangle Sum Theorem. 48° + 74° = 122°. 180° - 122° is 58°. So ∠E is 58°.
Because the triangles are congruent, ∠E corresponds to ∠B.
Because ∠B is "2x," divide 58° by 2. 58° ÷ 2 = 29°. 29° × 2 = 58°, so this checks out.
I hope this helps!!
You finish washing 34 of your windows in an hour and a half. At that rate, how much longer will it take you to finish washing all the windows? in return i will help u with Physics
Answer:
2 hours
Step-by-step explanation:
[tex]\dfrac{\frac{3}{4}}{\frac{3}{2}}=\dfrac{1}{x} \\\\\\\dfrac{1}{2}=\dfrac{1}{x} \\\\\\x=2[/tex]
Hope this helps!
Select all ratios that are in their simplest form. A 9:7 B 14:3 C 12:21 D 30:29 E 28:30
Answer:
Step-by-step explanation:
9/7, 14/3, 4/7, 30/29, 14/15
Help!!!!!!……………………………………………
Answer:
Step-by-step explanation:
The answer is d)
y= 0.0018(x-105)^2 +7
What is the range of the function?
The function f(x) = (x - 4)(x - 2) is shown.
10
O all real numbers less than or equal to 3
O all real numbers less than or equal to - 1
O all real numbers greater than or equal to 3
O all real numbers greater than or equal to - 1
Answer:
The range of the function is all real numbers greater than or equal to -1.
Step-by-step explanation:
Second order polynomials are continous and have an absolute maximum or minimum that restricts the set of the range associated with the function. A fair approach to estimate the range is rewritting the expression into parabola form, which is:
[tex]y - k = C \cdot (x-h)^{2}[/tex]
Where:
[tex]C[/tex] - Vertix parameter, dimensionless. If [tex]C > 0[/tex], then vertix is an absolute minimum, but if [tex]C < 0[/tex], vertix is an absolute maximum.
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]h[/tex] - Location of the vertix with respect to the independent variable, dimensionless.
[tex]k[/tex] - Location of the vertix with respect to the dependent variable, dimensionless. This value restrics the set corresponding to the range of the polynomic function.
First, we have to expand polynomial into its standard form:
[tex]y = (x-4)\cdot (x-2)[/tex]
[tex]y = x^{2}-6\cdot x +8[/tex]
Now, we are going to complete the square and factorize the resultant expression until parabola form is obtained:
[tex]y = x^{2}-6\cdot x + 9 -9 + 8[/tex]
[tex]y = (x-3)^{2} -1[/tex]
[tex]y + 1 = 1 \cdot (x-3)^{2}[/tex]
Since the vertix parameter is positive, then vertix is an absolute minimum. The location of the vertix with respect ot the depedent variable is [tex]k = -1[/tex]. Therefore, the range of the function is all real numbers greater than or equal to -1.
Which expression below gives the average rate of change of the function g(x) = -x^2 - 4x on the interval 6 ≤ x ≤ 8 ?
Answer:
1st Option
Step-by-step explanation:
Average rate of change formula: [tex]\frac{f(a) - f(b)}{a-b}[/tex]
Simply plug in 8 as a and 6 as b.
Answer:
A.
Step-by-step explanation:
Δy /Δx = (y2 - y1)/(x2 - x1) = [g(x2) - g(x1)]/(x2 - x1)
[g(x2) - g(x1)]/(x2 - x1) =[g(8) - g(6)]/(8 - 6) =[tex]\frac{[-8^{2}-4(8)]-[-6^{2}-4(6)]}{8-6}[/tex]
What is the quotient of the complex numbers below?
(Urgent ❗️❗️)
Answer:
the answer is C
Answer:
The answer is C.
Step-by-step explanation:
We are given: [tex]\frac{3+2i}{1-5i}[/tex]. To find the quotient, simplify it. To do that, multiply by the conjugate of the denominator.
The conjugate of [tex]1-5i[/tex] is [tex]1+5i.[/tex]\
Thus, we have:
[tex]\frac{3+2i}{1-5i} \cdot\frac{1+5i}{1+5i} =\frac{3+15i+2i+10i^2}{1-25i^2}[/tex]
Recall that [tex]i^2[/tex] is simply -1.
Thus, we have:
[tex]\frac{3+17i-10}{1-(-25)}=\frac{-7+17i}{26}[/tex]
We can split this:
[tex]-\frac{7}{26}+\frac{17}{26}i[/tex]
If the graph of y = |x| is translated so that the point (1, 1) is moved to (4, 1), what is the equation of the new graph?
Answer:
y = |x - 4|
Step-by-step explanation:
Because the x value is the only variable that changed, it means the graph has moved only horizontally. The only value you are adding to will be inside the absolute value, not outside (as that is vertical transformation)
If that is the case, the graph has only moved right from (1, 1) to (4, 1), and thus from the parent graph y = |x| you would derive y = |x - 4|.
Question 3
Which of the following is an example of Commutative Property of Addition?
A:3 + 4 = 8 + 3
B:6 x 1 = 6
C:(9 + 7) + 5 = 9 + (7 + 5)
D:2 + 9 = 9 + 2
E:None of these answers are correct.
Answer:
C
Step-by-step explanation:
Its the only one that is different from the other choices
3 kg of butter is packed into small packets of 75 gm each to be supplied to a restaurant.how many such packets can be made?if 10 such small packets are put into a box,how many such boxes can be made
Answer:
Step-by-step explanation:
We first need to determine how many grams are in 3 kg.
3 kg * [tex]\frac{1000g}{1kg}[/tex] = 3000 g
Now we know that there are 3000 g in 3 kg. If we divide 3000 g by 75, we will determine how many packets of butter there are.
3000 / 75 = 40.
40 packets of butter. If 10 go into a box, that means that
40 / 10 = 4 boxes.
Step-by-step explanation:
3kg = 3000g
1 packet = 3000/75 = 40 packets
Then
If 10 packets in a box so
40/10 = 4 boxes
HELP Which of the following is the range of the function based on the input-output table below?
Answer:
The correct answer is :
Range is: {1000,1100,1200,1300,1400,1500,1600}
Step-by-step explanation:
We are given here input-output table.
Let us define the domain and range of a function.
Domain is the set of values that can be given as input to the function.
and
Range is the set of values that comes out as the output of the function.
For example:
[tex]y = f(x) = 2x[/tex]
The domain of the function above is the set of values of x.
The range of function is the value of y or f(x).
For above example, range can be set of all Real numbers i.e. R.
Range for the above example will also be set of all Real numbers i.e. R.
From the given table in the question statement:
Input or Domain = {10,20,30,40,50,60,70}
Output or Range = {1000,1100,1200,1300,1400,1500,1600}
The equations x minus 2 y = 1, 3 x minus y = negative 1, x + 2 y = negative 1, and 3 x + y = 1 are shown on the graph below. On a coordinate plane, there are 4 lines. Green line goes through (0, negative 1) and (1, negative 1). Orange line goes through (negative 1, negative 1) and (0, 1). Pink line goes through (0, 1), and (2.5, negative 1). Blue line goes through (0, 1) and (negative 2.5, negative 1). Which system of equations has a solution of approximately (0.6, –0.8)? x + 2 y = negative 1 and 3 x + y = 1 x minus 2 y = 1 and 3 x + y = 1 x minus 2 y = 1 and 3 x minus y = negative 1 x + 2 y = negative 1 and 3 x minus y = negative 1
Answer: (a) x + 2y = -1 and 3x + y = 1
Step-by-step explanation:
I am not sure what the purpose was for the colored lines but I included them on the graph (below).
Answer:
The answer is A
Step-by-step explanation:
I took to the unit test on edge
Please help!!!!! IMAGE ATTACHED
Answer:
1. y2-y1/x2-x2
2.y=mx+b
3.Ax+By=C
Step-by-step explanation:
The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is 212w 16, where
I represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length
of the rectangle?
07 in
8 in
9 in
10 in
Answer:
7
Step-by-step explanation:
2l + 2w = 16
2 (l + w) = 16
l + w = 8
l = 8 - w
l = 7
At the latest town meeting, only 2/15
of the adults turned out for a vote on a new
proposition. How many adults live in this town if 600 adults voted at the last
town meeting?
Answer:
300 time 15 = the answer
Answer:
4500
Step-by-step explanation:
PLEASE HELP WITH BOTH PARTS!!!!!!!! WILL BE MARKED BRAINLIEST!
Answer:
Part A ) Option A, Option C, Option E
Part B ) 1200 cm^2
Step-by-step explanation:
The area of a kite can be identified through 1 / 2 of the multiplication of each diagonal. The first diagonal is equivalent to the addition of 50 cm and 10 cm, while the second is of length 20 cm + 20 cm.
[tex]1 / 2 * ( 50 + 10 ) * ( 20 + 20 ),\\1 / 2 * ( 60 ) * ( 40 ),\\( 30 ) * ( 40 ),\\\\Area of Kite = 1200 square cm[/tex]
Consider the first option. If we take a look at the bit 2 * ( 1 / 2 * 20 * 50 ) the 2 and 1 /2 cancel each other out, leaving you with 20 * 50 = 1000 . Respectively in the expression 2 * ( 1 / 2 * 20 * 10 ) the 2 and 1 / 2 cancel each other out, leaving you with 20 * 10 = 200;
[tex]1000 + 200 = 1200 square cm,\\Option A - Correct![/tex]
The second option considers the expression 2 * ( 1 / 2 * 20 * 60 ). Again, the 2 and 1 / 2 cancel each other out, leaving you with 20 * 60;
[tex]20 * 60 = 1200 square cm,\\Option B - Correct![/tex]
Option C is a similar version of option a, besides the fact that the 1 / 2 doesn't exist. Thus, Option C is incorrect!
Option D is a similar version of option a as well, but as the 2 doesn't exist, it is incorrect!
This last option, option E is taken as 1 / 2 of the multiplication of the diagonals, and thus is correct!
[tex]1 / 2 * ( 40 * 60 ),\\1 / 2 * ( 2400 ),\\1200 square cm\\\\Correct![/tex]
Hope that helps!
The expression on the left side of an equation is shown below. Negative 4 (x minus 2) + 5 x = box If the equation has no solution, which expression can be written in the box on the other side of the equation? 2(x + 4) – x x + 8 4(x + 2) – 5x x
Answer:
the correct answer is d
Step-by-step explanation:
the answer is d because most of the time when you take an eqation like -4(x-2)+5x and you flip some of the signs it changes the outcome
so x changes the eqation then when you siplify both sides you get
x+8
and
x
so x+8=x that has no solution to the eqation
all of the others come out to x+8 and the will all create infininte solutions other than d
The expression can be written on the other side of the equation is x+8.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression is -4(x-2)+5x.
Here, the expression can be simplified as
-4(x-2)+5x
= -4x+8+5x
= x+8
Hence, the expression can be written on the other side of the equation is x+8.
To learn more about an expression visit;
https://brainly.com/question/28170201.
#SPJ2
Which of the following values are in the domain of the function graphed below?check all that apply
Answer:
a,c, from l to be a great idea to be at the house by the way the time to do it on a hard time that I can help with the rest of the cause you found it on my phone and it do not have a circunr on my computer and
Step-by-step explanation:
yourwelcome
Answer: 7,0,2,3
Step-by-step explanation: nodadnotoday on Spotify
Jane matthew and sara each have 3 cards.The numbers on each child's card add upto 100. What numbers could they have, if each numbers is in tens?Each child has a different set of cards
Answer:
each child has a diffrent set
Step-by-step explanation:
1. A right triangle has legs that measure 5 meters and 12 meters. What is the length
of the hypotenuse?
A. 7 meters
B. 10.9 meters
C. 13 meters
D. 17 meters
What answer should I pick
Answer: C. 13 meters
Step-by-step explanation:
5^2+12^2=x^2
25+144=x^2
169=x^2
√169=13
13=x
Hope it helps
Answer:
C. 13 meters
Step by step:
5^2+12^2=x^2
25+144=x^2
169=x^2
√169=13
13=x
NEED HELP PLEASEEEEEEE
Evaluate: 6+ 4/4 + 3/3
Answer:
8
Step-by-step explanation:
4/4=1
3/3=1
1+1+6=8
In the problem RSM × RS × R=2030 each letter stands for a different digit. Find the 3-digit number RSM. Please answer soon!
Answer:
145
Step-by-step explanation:
Answer: R S M = 145
It seems that someone already gave the correct answer for this, but I'll add an explanation in case you're curious!
1. So, we can write it out as:
R S M
R S (make sure you don't simplify it
x R as R^3*S^2*M, as each letter here
---------- stands for an individual digit in a number)
2030
2. The only possible value of R is 1, because any other value would be too big. (For example, 213*21*2=8946), for the sake of simplicity so let's write it as:
R S M
x R S
----------
2030
3. Notice how the last digit in 2030 is 0? That means either M or S =5.
5*2 has a last digit of 0, so let's try that out. Let's sub it in to get 125*12=1500. That's too small, so let's try again.
5*4 also has a last digit of 0. Let's plug that in: 145*14=2030. Yay!
4. In conclusion, RSM*RS*R --- > 145*14*1=2030, so RSM = 145
Hope this helped you :)
What is the approximate area of a circle show below?
The answer of this is C: 43
Answer:
C)43ft
Step-by-step explanation:
Area= pi*r(squared)
Pi*3.7(squared)=43.00
So answer=43pi(squared)
Help meh pleassssssee :
Answer:
x-5
Step-by-step explanation:
f(x) = 5x-4
g(x) = 4x+1
Subtracting big equations
(f-g)(x) = 5x-4-4x-1
(f-g)(x) = x-5
Answer:
x-5
Step-by-step explanation:
I had the same question on my assignment lol
anyone get this ? (geometry)