Answer:
A: add 3.8
Step-by-step explanation:
just did it on edge
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)
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:
https://brainly.com/question/19486848
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
Choose the best estimate for the capacity of a bath tub. A. 5 ml B. 500 ml C. 50 cl D. 500 L
Answer:
D. 500 L
Step-by-step explanation:
Option D , 500 L can be used to estimate the capacity of bath Tub
What is Volume ?Volume is the space occupied by an object in three dimensional plane.
It is asked
Which among the given option is the best estimate for the capacity of a bath tub.
As the bath tub needs to contain large amount of water and so millilitre and centilitres will be very small unit.
Option D is 500 L and so can be used to estimate the capacity of bath tub
To know more about Volume
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PLS HELP ME WITH THIS!!!!!!!!!!! BRAINLIEST ANSWER IF U GET IT RIGHT
Answer:
I think it is 5
Step-by-step explanation:
Find the geometric mean of 24 and 32
Answer:
its 16 √3
Step-by-step explanation:
Geometric mean of given values is 8√12.
What is geometric mean?
Geometric mean of two numbers is the defined as product the numbers together and take the square root.
Let a = 24 and b =32
The geometric mean G = √a.b
Subsitute values of a and b in the formula
G = √24×32
G = √8×3×8×4
G = 8√12
thus, the geometric mean G is 8√12.
Learn more about Geometric mean
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Pleas answer this question now in two minutes
Answer:
CDB and HGI
Step-by-step explanation:
Alternate Exterior Angles are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal.
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!
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:
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
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
good morning :) The train to San Fernando travels 120 miles per hour. How long will or trip take if San Fernando is 750 miles away? A. 6 hours 15 minutes B. 6 hours C. 5 hours 30 minutes D. 5 hours 15 minutes
Answer: A 6 hours 15 minutes
Step-by-step explanation:
Time = Distance / Speed
Time = 750 / 120
= 6.25 hours
Answer:
Option A
Step-by-step explanation:
Using unitary method:
=> 120 miles = 1 hour
=> 1 mile = 1/120 hour
Multiplying both sides by 750
=> 750 miles = [tex]\frac{750}{120}[/tex] hours
=> 750 miles = 6.25 hours
=> 750 miles = 6 hours 15 minutes
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
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
What is the solution of 3+ x-2/x-3<_4
Answer:
x≤2−√6 or 0<x≤2+√6
A pairing of numbers from domain to range is called as...?
Answer:
A relation
Step-by-step explanation:
A relation can be defined as a pairing of numbers in a data set. The pairing of numbers are the domain and the range.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
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
three coins are flipped
what is the probability of getting no heads ?
What is the probability of getting at least two tails
PLEASE HELP
Answer:
probability of getting no heads: 1/ 8
probability of at least two tails: 1/4
Step-by-step explanation:
To calculate the probability of getting no heads, multiply the probability of not getting heads for each coin. A coin has two sides: heads and tails; the probability of not getting heads would be 1/2.
1. Multiply the probabilities for each coin
1/2 · 1/2 · 1/2 = 1/8
To calculate the probability of getting at least two tails, multiply the probability of getting tails for two coins and the probability of flipping either heads or tails for the remaining coin. Because it is at least two tails, the remaining coin can flip to either heads or tails.
1. Multiply the probabilities for each coin
1/2 · 1/2 · 2/2 = 1/4
WILL MARK BRAINLIEST!!! PLZ HELP!! 20 PONTS
Answer:
2nd Option
Step-by-step explanation:
A is incorrect because both mediums are at 75.
C is incorrect because Class B has a higher upper quartile.
D is incorrect because Class B has a max score of 100 while Class A has a max score of 95.
Answer: B
Step-by-step explanation:
The lower quartile is the end of the box, so class A box is greater because it is higher up and class B is lower down meaning it is less than,
Hope this helped!
<!> Brainliest is appreciated! <!>
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
Determine the domain and range for the function.
f (x) = x + 7
Answer:
Domain: (−∞,∞)
Range: (−∞,∞)
Step-by-step explanation:
trust me
HELP ME I WILL MAKE YOU BRAINLIEST
Answer:
dependent
Step-by-step explanation:
[tex]6x - 2y = - 12 \\ 2y = 6x + 12 \\ y = 3x + 6[/tex]
as you can see it's equal to the first equation.
then those two lines are the same!
means dependent.
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.
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...
Evaluate 5(x-1)-2 when x=3
Answer:
8
Step-by-step explanation:
5(x-1)-2
Put x as 3 and evaluate.
5(3-1)-2
5(2)-2
10-2
= 8
Answer:
8solution,
X=3
[tex]5(x - 1) - 2 \\ putting \: the \: value \: of \: x \\ = 5(3 - 1) - 2 \\ = 5 \times 2 - 2 \\ = 10 - 2 \\ = 8[/tex]
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
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)
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
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
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