Answer is below. Look at my explanation to understand my answer.
To see if these lengths can make a triangle, we can use the "triangle side theorem."
The formula is:
a + b > c
a + c > b
b + c > a
So, with that being said...
15 → A
36 → B
39 → C
So, we can use the triangle side theorem by adding A & B, A & C, and B & C.
If the side length is greater than C, B, or A, it can make a triangle. But if it isn't greater than C, B, or A, it cannot make a triangle.
So, let's add 15 and 36 to see if it can make a triangle.
15 + 36 = 51
If you read above, C is 39.
So, 51 > 39
15 + 36 > 39 ✓
Let's repeat this process again.
Instead of C, B is what we're now seeing if the sum is greater than it.
15 + 39 = 54
54 is greater than 36...
54 > 36
So it is true.
15 + 39 > 36 ✓
Now, A is what we're seeing if the sum is greater than it.
36 + 39 = 75
75 is greater than 15...
75 > 15
So it is true.
36 + 39 > 15 ✓
So yes, these lengths can make a triangle.
Let me know of any questions or concerns.
Five minutes is what percent of
an hour?
0.083 In decimal 8.3% in percentage
Nadia thinks of a number she finds the squre root and the divides it by 5 her answer is 20 what number is she thinking of
Answer:
10000
Step-by-step explanation:
Let the number = x
Square root of x divided by 5 equals 20
√x / 5 = 20
Using cross multiplication
√x = 20 * 5
√x = 100
Take the square of both sides
(√x)² = 100²
x = 10000
Therefore, the number is 10000
In ΔRST, s = 620 cm, r = 210 cm and ∠R=17°. Find all possible values of ∠S, to the nearest 10th of a degree.
Answer:
1843:6754.9709254546.,657675
Step-by-step explanation:
The measure of the angle of the triangle is calculated by the law of sines and m∠S = 59.7°
What is the law of sines?The relationship between a triangle's sides and angles is provided by the Law of Sines. Trigonometry's law of sines can be expressed as a/sinA = b/sinB = c/sinC, where a, b, and c are the lengths of the triangle's sides, and A, B, and C are the triangle's respective opposite angles.
Law of Sines :
a / sin A = b / sin B = c / sin C
Given data ,
Let the triangle be represented as ΔRST
Now , the measure of s = 620 cm
The measure of side r = 210 cm
And , the measure of angle m∠R = 17°
From the law of sines , we get
a / sin A = b / sin B
On simplifying , we get
sin ( 17 )° / 210 = sin ( S ) / 620
Multiply by 620 on both sides , we get
sin ( S ) = ( 620 / 210 ) x 0.2923717
On further simplification , we get
sin S = 0.86319265203
Taking inverse on both sides , we get
S = sin⁻¹ ( 0.86319265203 )
S = 59.68°
S = 59.7°
Therefore , the value of S is 59.7°
Hence , the measure of angle m∠S = 59.7°
To learn more about law of sines click :
https://brainly.com/question/13098194
#SPJ3
log x + log (x-3) = 1
Given:
The logarithmic equation is:
[tex]\log x+\log (x-3)=1[/tex]
To find:
The value of x.
Solution:
Properties of logarithm used:
[tex]\log a+\log b=\log (ab)[/tex]
[tex]\log 10=1[/tex]
[tex]\log x[/tex] is defined for [tex]x>0[/tex].
We have,
[tex]\log x+\log (x-3)=1[/tex]
Using properties of logarithm, we get
[tex]\log [x(x-3)]=\log 10[/tex]
[tex]x^2-3x=10[/tex]
Splitting the middle term, we get
[tex]x^2-5x+2x-10=0[/tex]
[tex]x(x-5)+2(x-5)=0[/tex]
[tex](x-5)(x+2)=0[/tex]
[tex]x=5,-2[/tex]
In the given equation, we have a term [tex]\log x[/tex]. It means the value of x must be greater than 0 or positive. So, the only possible value of x is:
[tex]x=5[/tex]
Therefore, the value of x is 5.
If f(x)=x^3 and g(x) = (x + 4)^3, which description represents the graph of function g?
A. a horizontal transformation of function f4 units right
B. a vertical transformation of function f4 units down
C.a vertical transformation of function f4 units up
D. a horizontal transformation of function f4 units left
Answer:
D. 4 units to the left
The transformation of the function will be 4 units to the left. The correct option is D.
What is translation?A translation in mathematics does not turn a shape; instead, it moves it left, right, up, or down. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes. They've simply shifted in one or more directions.
Given that the functions are f(x) = x³ and g(x) = ( x + 4 )³. The translation of the function will be at 4 units to the left.
When the functions are plotted on the graph the translation is seen to the left of the origin at the coordinate (-4,0).
To know more about translation follow
https://brainly.com/question/12861087
#SPJ2
I need this done for a test, and if someone can answer one of my past questions, thank you
Answer: #1 D 60 2# H
Step-by-step explanation:
The value, V(t), of a baseball card increases according to the function V(t) = P(1.045)', where P is the purchase price of the
baseball card and t is the time, in years since the card was purchased. By what percent does the value of the card increase each
year'?
1 4.5%
2 45%
3 95.5%
4 145%
The Percentage increase in the purchase price each year is 4.5%.
The given function is:
[tex]V(t)=P(1.045)^t[/tex]
Where P is the purchase price of the baseball card and t is the time.
What is a function?A function is a rule that establishes a relation between two variables.
[tex]V(1)=P(1.045)^1\\V(1)=1.045P[/tex]
[tex]V(2)=P(1.045)^2\\V(2)=1.092025P[/tex]
Percentage increase in the purchase price each year
=[tex]\frac{V(2)-V(1)}{V(1)} *100[/tex]
[tex]=\frac{1.092025P-1.045P}{1.045P} *100[/tex]
[tex]=4.5%[/tex]%
Hence, the Percentage increase in the purchase price each year is 4.5%.
To get more about functions visit:
https://brainly.com/question/2833285
PLS HELP ME THIS IS Probability (Single event) PLS HELP ME
Answer:
2/6 or 33.3%
1/6 or 16.65%
3/6 or 50%
0/6 0r 0%
Step-by-step explanation:
Find the surface area of the composite solid. 6 ft 4 ft 1 5 ft 5 ft
Sa Of Rectangular Prism - 65
Sa Of Pyramid - 85
TOTAL SURFACE AREA - 150
HELP PLEASE ANSWER I NEED HELP
Answer:
x=30
Step-by-step explanation:
x/5-16=-10
x/5=-10+16
x/5=6
x=6×5
x=30
An airplane altitude in feet during its descend can be found using the function f(x)=-200x+20,000. After new government regulations become law the descent is now modeled by the function g(x)=-200x+20,500. Which statement describes the change?
Answer:
The airplane starts its descent from an altitude 500 feet higher.
Step-by-step explanation:
Given that:
F(x) = - 200x+20,000
g(x) = -200x+20,500
The functions are written in slope intercept format :
With a negative slope, the intercept gives the point which the rate of change begins in the vertical axis :
The slope is -200 ; which means that the descent rate of the airplane is 200
The intercept value however changes from 20,000 in f(x) to 20500 in g(x). This means that the height at which descent starts is now at a height of 20500 which is (20500 - 20000) = 500 miles higher than before.
Match the following three scenarios. Are the equations Always True, Never True, or Sometimes True?
Notes for proportional relationships can you give me notes to write down lol
Answer:
Step-by-step explanation:
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".
What is true about the slopes of lines that are perpendicular?
A They have opposite signs
B They are reciprocals of each other
C They have opposites signs and are reciprocals of each other
D They are exactly the same
Suppose that an individual has a body fat percentage of 19.3% and weighs 187 pounds. How many pounds of her weight is made up of fat? Round your answer
to the nearest tenth.
Answer:
The individual has 36.09 pounds of body fat.
Step-by-step explanation:
Given that an individual has a body fat percentage of 19.3% and weighs 187 pounds, to determine how many pounds of her weight is made up of fat the following calculation must be performed:
(187 x 19.3) / 100 = X
3.609.1 / 100 = X
36.091 = X
Therefore, the individual has 36.09 pounds of body fat.
name the property illustrated. 6 + (4+9) = (6 + 4) + 9
Answer:
associative property
Step-by-step explanation:
happy to help :)
Answer:
Associative Property
Step-by-step explanation:
The property says you can regroup the three numbers being added.
(a + b) + c = a + (b + c)
Either add a and b first, then add c, ...
or, add b and c first, then add that result to a.
someone help me with this I would really appreciate it !
Answer:
V = 126 [tex]mi^{3}[/tex]
Step-by-step explanation:
Volume of a pyramid is V = [tex]\frac{lwh}{3}[/tex]
l = length
w = width
h = height
width is 6 mi
length is 7 mi
height is 9 mi
V = [tex]\frac{6*7*9}{3}[/tex]
V = 126 [tex]mi^{3}[/tex]
A park in the shape of a right triangle, one leg of the triangle is 2 kilometers long, the hypotenuse measures 2.9 kilometers how long in kilometers is the other leg?
Answer:
2.1 kilometers
Step-by-step explanation:
Pythagoras' Theorem
a^2 + b^2 = c^2
2^2 + b^2 = 2.9^2
2.9^2 - 2^2 = b^2
8.41 - 4 = 4.41
b = √4.41
b= 2.1
Pls help with thissss
Help! This is due today and I'm stuck on the last problem.
Brainiest for best answer.
NO LINKS! If you put a link, I will report you.
Find the area of the shaded region rounded to the nearest tenth.
Answer:
Step-by-step explanation:
Square
519450.2
Holes
Semi-circle: 1/2*pi*r^2
diameter = 700/2 = 350 =radius
1/2*pi*350 = 175*pi
Triangle
1/2 b*h
1/2 200*400
100*400
40000
Take out the semi circle and triangle
560000-40000-175*pi
520000-175*pi = 519450.2
Line p is parallel to line q. If the measure of angle 3 is 54 what is the measure of angle 6?... Help
Answer:
54°
Step-by-step explanation:
Because p and q are parallel, angle 3 equal to angle 6 as they are alternative angles.
So angle 6 is 54°.
Alternative
Line p and line q is parallel, so that the sum of a pair of interior angles (angle 3 and angle 5, angle 4 and angle 6) are equal to 180°.
So angle 4 + angle 6 = 180°.
Find angle 4 first:
180° - angle 3 = angle 4
180° - 54° = 126°
So the measure of angle 6 is
180° - 126° = 54°
Answer:
54 degrees
Step-by-step explanation:
which angle is supplementary to.... asap plz
Answer:
Angle AGC
Step-by-step explanation:
Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees. ... For example, a 50-degree angle and a 40-degree angle are complementary; a 60-degree angle and a 120-degree angle are supplementary
The price of 7-minute phone call is $.105 What is the price of 18 -minute phone call?
The price of 18-minute phone call is $
Answer:
$.27
Step-by-step explanation:
.105/7*18
2 in.
2 in.
2 in.
Fine the area
x+y=1212
x-y=518
please help me with it
Here,
x+y=1212••••••[tex]\bold{equation~I }[/tex] x-y=518••••••[tex]\bold{equation~II }[/tex]ADDITIONALL,both two equation.
we get that,
x+y+x-y=1212+5182x=1730x=865so,
x-y=518865-y=518y=860-518y=347What is the volume of the right prism with height h=14cm, if the base of the prism is a triangle ABC with side AB=9cm and the length of the altitude to that side is ha= 6 cm. It is not 476cm2 btw.
Answer:
378 cm
Step-by-step explanation:
Which of the following describe 9.629? Select all that apply.
whole number
real number
rational number
irrational number
Answer:
Real number
Rational number
Step-by-step explanation:
if 2f(x)-3f(1/x)=x^2 determine f(2)
What are two partial products you would add to find 21 x 509?
I HELP NEED ASAP PLZ HELP ME
Answer:
Step-by-step explanation:
you would do 60 divided by 5 which would get you 12
then you multiply 12 by 3 which would be 36
lastly you would multiply 36 by 7 which would get you
252
Answer:
so first you take 7 and you multiply by 60 bc that way you will have the minutes 60x7=420 then you divide 420 by 5 and get 84 then 84x3=252
Step-by-step explanation:
