Answer:
120 m
Step-by-step explanation:
LCM of 1.6 and 15 will give us the distance
Put 1,6 and 15 in same format:
16/10= 2*2*2*2/10150/10= 2*3*5*5/10LCM= 2*2*2*2*3*5*5/10= 120 m
So the next point is 120 m apart
Solve the triangle. Round your answers to the nearest tenth.
Answer:
<B = 47°
<C = 28°
b = AC = 28.0
Step-by-step explanation:
Given:
∆ABC
AB = c = 18
BC = a = 37
<A = 105°
Required:
Length of AC = b
measure of angle B and angle C
SOLUTION:
==>Use the sine rule, sin A/a = sinC/c to find the angle of C:
SinA = sin(105) = 0.9659
a = 37
sinC = ?
c = 18
0.9659/37 = sinC/18
Cross multiply
0.9659*18 = 37*sinC
17.3862 = 37*sinC
Divide both sides by 37
17.3862/37 = sinC
0.4699 = sinC
sinC = 0.4699
C = Sin-¹(0.4699)
C = 28.0° (nearest tenth)
==>Find angle B using sum of angles in a triangle:
Angle B = 180 - (105+28)
Angle B = 180 - 133
Angle B = 47°
==>Find length of b using sine rule, b/sinB = c/sinC:
SinC = sin(28) = 0.4695
SinB = sin(47) = 0.7314
c = 18
b = ?
b/0.7314 = 18/0.4695
Cross multiply
b*0.4695 = 18*0.7314
b*0.4695 = 13.1652
Divide both sides by 0.4695
b = 13.1652/0.4695
b = 28.0 (nearest tenth)
Hour many hours are in 7 days?
Answer: 168 hours
Step-by-step explanation:
There are 24 hours in a day. Thus, simply multiply 7*24 to get 168.
Hi there! Hopefully this helps!
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Answer: There are 168 hours in 7 days.
Since there 24 hours in a day, Multiply 24 times 7 and you get 168.
Example : 24 x 7 = 168.
What is the area of the triangle shown below?
Answer:
given,
base= 10
height= 8
now, area of triangle =
[tex] \frac{1}{2} \times b \times h[/tex]
or, area =
[tex] \frac{1}{2} \times 10 \times 8[/tex]
therefore the area of a triangle is 40 sq units.
hope its helpful..
Answer:
A, 40 sq.units
Step-by-step explanation:
Area of Triangle: 1/2·b·h
Substitute: h= 8, b= 10
A = 1/2 (10)(8)
Simplify: A = 1/2(80) = 40
Area= 40 sq. units
The altitude at which we boil an egg affects how long it takes for the egg to achieve perfect hardness. It takes 198198198 seconds to boil a perfect egg at the lowest place possible, the edge of the Dead Sea, which has an altitude of -418−418minus, 418 meters. The highest place possible is the summit of Mount Everest which has an altitude of 884888488848 meters. It takes 209209209 seconds to boil a perfect egg there. T(a)T(a)T, left parenthesis, a, right parenthesis models the time (in seconds) it takes to boil a perfect egg at an altitude of aaa meters. Which number type is more appropriate for the domain of TTT?
Answer:
The domain is -418 < a < 8848 where a is an integer.
Step-by-step explanation:
We see from the data given that the domain of T(a) takes both positive and negative integer values ( 8848 meters and -418 meters); T(a) never gets decimal values (and in real life thy won't be of much use because we are not looking for that much accuracy).
So the appropriate number type for the domain of T(a) would be integers. And if you are interested, the domain is -418 < a < 8848.
A conical-shaped umbrella has a radius of 0.4 m and a height of 0.45 m. Calculate the amount of fabric needed to manufacture this umbrella. (Hint: an umbrella will have no base)
Answer:
0.76m²
Step-by-step explanation:
In the above question, we are given the following information.
Radius = 0.4m
Height = 0.45m
To solve this question, The umbrella is CONICAL in shape and it has no BASE, we would be finding the lateral surface area of a cone. Since we are given height and radius :
Lateral Surface Area of a cone =
πr√(h² + r²)
= π × 0.4√(0.45² + 0.4)
= 0.7566m²
≈ Approximately = 0.76m²
Therefore, the amount of fabric needed to manufacture this umbrella is 0.76m²
A basketball team practices their shooting. The function f(x) represents the number of baskets made during practice, where x is the number of players at the practice. Does a possible solution of (12, 36) make sense for this function? Explain your answer.
A.Yes. The input and output are both possible.
B.No. The input is not possible.
C.No. The output is not possible.
D.No. Neither the input nor output is possible.
Answer:
B.No. The input is not possible.
Step-by-step explanation:
According to the given scenario, as we know that f(x) indicates that the baskets number and x the number of players at the practice.
Therefore, if we are having the point (12, 36) we can conclude that during practice there were 36 baskets and 12 players.
Hence, it does not make any sense which results that input is not possible
Please help!! Maths question I don't understand!
Answer:
see explanation
Step-by-step explanation:
The statements tells us that w is inversely proportional to v and the equation relating them is
v = [tex]\frac{k}{w}[/tex] ← k is the constant of proportion
To find k use the condition v = 9, w = 5, that is
9 = [tex]\frac{k}{5}[/tex] ( multiply both sides by 5 )
45 = k
v = [tex]\frac{45}{w}[/tex] ← equation of proportion
When w = 4 , then
v = [tex]\frac{45}{4}[/tex] = 11.25
To eliminate the terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? First equation: 9x + 3y = -18 Second equation: 8x + 7y = 10
Answer:
y = 6
Step-by-step explanation:
You should always multiply by the easiest choice(which I see is multiplying the 7 and the 3 to get 21
7(9x + 3y = -18)
-3(8x + 7y = 10)
63x + 21y = -126
-24x -21y = -30
39x = -156
and solve to get x = -4
then plug -4 into x any of the equations to get y = 6
( 8(-4) + 7y = 10
-32 + 7y = 10
7y = 42
y = 6)
Answer:
The first equation should be multiplied by - 7 and the second equation by 3 .
Step-by-step explanation:
answer on edge
PLS HELP ME WITH THIS!!!!!!!!!!! BRAINLIEST ANSWER IF U GET IT RIGHT
Answer:
I think it is 5
Step-by-step explanation:
the meeting room needed 4 times the amount of chairs to seat the 60 students. How many chairs did the meeting room have ?
Answer:
15
Step-by-step explanation:
4x=60
60 divided by 4 = 15
Pls help? This is confusing
Answer:
8.1 metresStep-by-step explanation:
[tex]sin \: 54 = \frac{opposite \: side}{hypotenuse} [/tex]
[tex]sin \: 54 = \frac{h}{10} [/tex]
[tex]0.8090 = \frac{h}{10} [/tex]
[tex]h = 10 \times 0.8090[/tex]
[tex]h = 8.09[/tex]
[tex]h = 8.1[/tex]
Hope this helps...
Good luck on your assignment..
Answer:
h = 8.1 m
Step-by-step explanation:
Sin 54 = [tex]\frac{opposite }{hypotenuse}[/tex]
Where opposite = h, hypotenuse = 10 m
0.809 * 10 = h
=> h = 8.1 m
Which of the following polynomials has a remainder of -7 when divided by x – 2?
A. 4x3 + 2x2 + 5
B. x3 - 2x2 - 4x + 1
c. 3x² + 6x - 2
D.-2x3 + 4x2 + 3x - 2
Answer:
[tex]B.\ x^3 - 2x^2 - 4x + 1[/tex]
Step-by-step explanation:
Given
Polynomials A to D
Divisor: x - 2
Required
Which of polynomial A - D has a remainder of -7
We start by equating the divisor to 0
[tex]x - 2 = 0[/tex]
Make x the subject of formula
[tex]x = 2[/tex]
Next is to substitute 2 for x in the polynomials to get the remainder;
[tex]A.\ 4x^3 + 2x^2 + 5[/tex]
[tex]4(2)^3 + 2(2)^2 + 5[/tex]
Open Brackets
[tex]4 * 8 + 2 * 4 + 5[/tex]
[tex]32 + 8 + 5[/tex]
[tex]Remainder = 45[/tex]
[tex]B.\ x^3 - 2x^2 - 4x + 1[/tex]
[tex](2)^3 - 2(2)^2 - 4(2) + 1[/tex]
Open Brackets
[tex]8 - 2 * 4 - 4 * 2 + 1[/tex]
[tex]8 - 8 - 8 + 1[/tex]
[tex]Remainder = -7[/tex]
[tex]C.\ 3x^2 + 6x - 2[/tex]
[tex]3(2)^2 + 6(2) - 2[/tex]
Open Brackets
[tex]3 * 4 + 6 * 2 - 2[/tex]
[tex]12 + 12 - 2[/tex]
[tex]Remainder = -2[/tex]
[tex]D.\ -2x^3 + 4x^2 + 3x - 2[/tex]
[tex]-2(2)^3 + 4(2)^2 + 3(2) - 2[/tex]
Open Brackets
[tex]-2 * 8 + 4 * 4 + 3 * 2 - 2[/tex]
[tex]-16 + 16 + 6 - 2[/tex]
[tex]Remainder = 4[/tex]
From the calculations above, the polynomial with a remainder of -7 when divided by [tex]x - 2[/tex] is [tex]B.\ x^3 - 2x^2 - 4x + 1[/tex]
The value of the polynomial [tex]x^3-2x^2-4x+1[/tex] is -7 at x = 2. So, option B is correct.
Important information:
Remainder is -7.Divisor is [tex]x-2[/tex].Remainder Theorem:According to the Remainder Theorem, if a polynomial is p(x) is divided by (x-c), then the remainder is p(c).
If polynomials have a remainder of -7 when divided by x – 2. So, the value of the polynomial must be -7 at x = 2.
Substitute x = 2 in the first polynomial.
[tex]4(2)^3+2(2)^2+5=45\neq -7[/tex]
Substitute x = 2 in the second polynomial.
[tex](2)^3-2(2)^2-4(2)+1=-7[/tex]
Substitute x = 2 in the third polynomial.
[tex]3(2)^2+6(2)-2=22\neq -7[/tex]
Substitute x = 2 in the fourth polynomial.
[tex]-2(2)^3+4(2)^2+3(2)-2=4\neq -7[/tex]
Only the value of the second polynomial is -7 at x = 2. Therefore, the correct option is B.
Find out more about 'Remainder Theorem' here:
https://brainly.com/question/4515216
Working out simultaneous equations.
Answer:
x = 6/5
y = 8/5
Step-by-step explanation:
3x - y = 2
2x + y = 4
Add the equations, cancelling y.
5x = 6
x = 6/5
Put x as 6/5 in the second equation and solve for y.
2(6/5) + y = 4
12/5 + y = 4
y = 4 - 12/5
y = 8/5
What are the solution(s) to the quadratic equation 40 – x2 = 0?
O x= +2/10
O x = +4/10
O x = +2/5
O x = +4,5
Help please it’s timed :)
Answer:
The answer is 2 root 10.
hope it helps..
Answer:
x = ±2[tex]\sqrt{10}[/tex].
Step-by-step explanation:
40 - x^2 = 0
Subtract 40 from both sides
-x^2 = -40
Divide both sides by -1
x^2 = 40
Find the square root of both sides
x = ±[tex]\sqrt{40}[/tex]
x = ±[tex]\sqrt{2 * 2 * 2 * 5}[/tex]
x = ±[tex]\sqrt{2^2 * 2 * 5}[/tex]
x = ±2[tex]\sqrt{2 * 5}[/tex]
x = ±2[tex]\sqrt{10}[/tex]
Hope this helps!
What is the solution of 3+ x-2/x-3<_4
Answer:
x≤2−√6 or 0<x≤2+√6
What is the circumference of a circular swimming pool with a diameter of 6 ½ feet? ______________ ft. (use for pi) A. 6 3/7 B. 71 1/2 C. 9 9/14 D. 20 3/7
Answer:
The answer is option D
Step-by-step explanation:
Circumference of a circle is πd
where d is the diameter
From the question
d = 6½ feet = 13/2 feet
Circumference is
π × 13/2
= 22/7 × 13/2
= 143/7
[tex] = 20 \frac{3}{7} [/tex]
Hope this helps you
Answer:
d
Step-by-step explanation:
/its wat he sed
An ordinary 6-sided die has a number on each face from 1 to 6 (each number appears on one face). How many ways can I paint two faces of a die blue, so that the product of the numbers on the painted faces isn't equal to 6?
Answer:
13
Step-by-step explanation:
There are 6 ways to choose the first number and 5 ways to choose the second number to paint so the total number of ways is 6 * 5 = 30 but we are over counting by a factor of 2 since 1 and 6 is the same as 6 and 1 so it's 30/2 = 15, not 30. The only choices that have a product of 6 are 2 and 3 or 1 and 6 so the answer is 15 - 2 = 13.
Answer:
13 ways
Step-by-step explanation:
Total number of distinct ways to pair two faces
= C(6,2) = 6! / (2!4!) = 15
Total number of ways to pair two faces so that the product equals six
=cardinality {1*6, 2*3} = 2
Therefore
number of ways to paint two faces such that the product is not six
= 15 - 2
=13
show the steps of how got the answer
Answer:
Step-by-step explanation:
f- -3u=21 divide each side by (-3)
-3u/-3=-21/3
u=-7
g) 23+a=12 use subtraction method , subtract 23 from both sides
23-23+a=12-23
a=-11
h) -9+b=15 use additional method, add 9 to both sides
-9+9+b=15+9
b=26
I need help with this question!
Answer:
A = 0 -7 b= 0 -7
3 2d 3 2d
Let's calculate A and B:
A= 0*2d- 3*(-7) = -3*(-7) = 21B= 0.2d- 3*(-7) = -3*(-7) = 21Calculte (AB)^(-1):
(AB)^(-1) = (21*21)^(-1) = (21²)^(-1) = 21^(-2)Calculte B^(-1) and A^(-1):
B^(-1) * A^(-1) = 21^(-1) * 21^(-1)= 21^(-1-1) = 21^(-2)so:
(AB)^(-1) = B^(-1) * A^(-1)
Which of the following Quadrilateral have diagonals that disect each other? Check all that apply
A. Parallelogram
B. Rhombus
C. Square
D. Rectangle
Answer:
It's (B) Rhombus and (D) Rectangle
Step-by-step explanation:
Find x.
help please !!!
Answer: D.) Cultural knowledge
Step-by-step explanation:
Answer:
x=27solution,
Sum of exterior angles=360°
[tex]3x + 2x + 40 + 4x + x + 50 = 360 \\ or \: 3x + 2x + 4x + x + 40 + 50 = 360 \\ or \: 10x + 90 = 360 \\ or \: 10x = 360 - 90 \\ or \: 10x = 270 \\ or \: x = \frac{270}{10} \\ x = 27[/tex]
Hope this helps..
Good luck on your assignment...
Can someone help me I really need to finish this quick? Can someone tell me how to get 14.50?
Answer:
Please see details below
Step-by-step explanation:
Notice that since you have drawn mid-segments for all sides of the triangles, the three smaller triangles generated at the vertices, are all similar triangles to the large one (XYW).
Let's look at what happens with the smaller triangles:
Triangle QXR is similar to XYW, since the side QR has to be parallel to the big side WY. By construction, the side XQ is half of the side XW, therefore all sides of the smaller triangle *QXR formed must maintain the same proportion. Then side QR is half of side WY which makes side WY = 2 (2.93 cm) = 5.86 cm.
The same reasoning is valid when we compare triangle RYS with the larger triangle XYW: side RS of the small triangle is half of side XW of the large triangle, That is: XW = 2 (2.04 cm) = 4.08 cm
Similarly, small triangle SWQ is similar to XYW, and the side QS has to be half of side XY, therefore side XY = 2 (2.28 cm) = 4.56 cm
Then, the perimeter of triangle XYW is:
XY + YW + XW= 4.56 cm + 5.86 cm + 4.08 cm = 14.5 cm
very easy trig with pic
Answer:
1st Option
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
Step 1: Find the missing leg
2² + b² = 6²
b² = 36 - 4
b = √32
Step 2: Find cosA
cosA = √32/6
cosA = 4√2/6
cosA = 2√2/3
ayuda porfavor :b lo nesesito para hoy por fa
Answer:
a) x = 10
Step-by-step explanation:
En este romboide, el angulo A es igual a el angulo C, y el angulo ABC es igual a el angulo CDA.
Entonces, el angulo C es 7x.
En un triangulo, los angulos se suman para ser 180 degrados. En el triangulo BCE, hay un angulo recto.
7x + 2x + 90 = 180
7x + 2x = 90
9x = 90
x = 10
Espero que este te ayude!
8x – 2 – 5x + 7 = one solution
━━━━━━━☆☆━━━━━━━
▹ Answer
3x + 5
▹ Step-by-Step Explanation
8x - 2 - 5x + 7
= 3x - 2 + 7
= 3x + 5
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer: For the equation to have one solution, use any number that does not contain 3x.
Step-by-step explanation:
8x - 2 - 5x + 7
Combine like terms
3x + 5
Elena’s aunt bought her a $150 savings bond when she was born. When Elena is 20 years old, the bond will have earned 105% in interest. How much will the bond be worth when Elena is 20 years old?
The correct answer is $307.5
Explanation:
The total of the bond after 20 years is $150 plus the interests during this time (105% of $150). This last value can be calculated by multiplying the percentage (105) by the total ($150) and dividing it into 100% (total percent represented by $150. The process is shown below:
[tex]150 = 100[/tex]%
[tex]x = 105[/tex]%
[tex]x = \frac{150 x 105}{100}[/tex]
[tex]x = 157.5[/tex]
This means the total money in interest is $157.5 and this added to $150 is equivalent to $307.5
Un agricultor tiene 140 metros de malla para instalar una cerca en su huerta de hortalizas y esa tiene forma de rectangulo a) encuentra una función que modele el área de la huerta que pueda cercar b)¿Para que valor de la longitud del largo, el area es Maxima?
Tenemos que sean x e y los lados de la huerta entonces el perímetro sería:
P = 2*x + 2*y
Sabemos que el perimetro es 140, reemplazando:
140 = 2*x + 2*y
x + y = 70
despejamos y, nos queda:
y = 70 - x
Ahora tenemos que el área sería:
A = x*y
reemplazamos y:
A = x*(70 - x)
A = 70*x - x^2
Esta sería la ecuación que modela el área de la huerta.
Derivamos e igualamos a 0:
0 = 70 - 2*x
x = 70/2
x = 35
ahora calculamos y:
y = 70 - 35
y = 35
El área máxima sería:
A = 35*35
A = 1225 m^2
Please help! Rhombus LMNO is shown with its diagonals. The length of LN is 30 centimeters. What is the length of LP? A.) 14 B.) 15 C.) 20 D.) 30
Answer:
B
Step-by-step explanation:
Since the diagonals of a rhombus bisect each other, that means P is the midpoint of LN. Therefore, LP = 1/2 * LN = 1/2 * 30 = 15.
Write a two-column proof. Given: Triangle ACD is isosceles; <1 is congruent to <3 Prove: Segment AB || Segment CD
Answer:
AB ║ CD, reason If two lines (AB and CD) and a transversal AD, form alternate interior angles, (∠1 and ∠4) that are congruent, then the two lines are parallel
Step-by-step explanation:
Statement, Reason
Triangle ACD is isosceles, Given
∠1 ≅ ∠3, Given
∠3 ≅ ∠4, Base angles of isosceles triangle
∠1 ≅ ∠4, Substitution
∠1 and ∠4, are alt int. ∠s, Definition
AB ║ CD, Have congruent alternate interior angles
If two lines (AB and CD) and a transversal AD, form alternate interior angles, (∠1 and ∠4) that are congruent, then the two lines are parallel
The two-column proof that shows that Segment AB║Segment CD is shown in the image attached below (See attachment).
Given the image showing an isosceles triangle, ΔACD.
The two-column proof that shows segment AB || Segment CD has been provided in the table shown in the image attached below.
We know already that:
ΔACD is isosceles
∠1 ≅ ∠3
∠3 and ∠4 base angles of the isosceles triangle, therefore, ∠3 ≅ ∠4.
By substitution, ∠1 ≅ ∠4
∠1 and ∠4 are alternate interior angles, therefore, based on the Converse of Alternate Interior Angles Theorem: AB║CD
The complete two-column proof is in the image attached below.
Learn more about Alternate Interior Angles Theorem on:
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Determine the domain and range for the function.
f (x) = x + 7
Answer:
Domain: (−∞,∞)
Range: (−∞,∞)
Step-by-step explanation:
trust me