Based on the triangle inequality theorem, the possible length of the third side of the triangle is: 9 < x < 51
What is the Triangle Inequality Theorem?The triangle inequality theorem states if a and b are two sides of a triangle, the possible length of the third side would be: a + b < x < a - b.
Two given sides of the triangle are 30 ft and 21 ft. The possible length of the third side of the triangle would be:
30 - 21 < x < 30 + 21
9 < x < 51
Possible length of the third side would range between: 9 < x < 51
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5x + 12= 6x - 36
I’m bored
Answer:
x = 48
Step-by-step explanation:
5x + 12 = 6x - 36 ( subtract 6x from both sides )
- x + 12 = - 36 ( subtract 12 from both sides )
- x = - 48 ( multiply both sides by - 1 )
x = 48
Step-by-step explanation:
______________________5x + 12 = 6x - 36
5x + 12 - 6x = - 36
- x = - 36 - 12
- x = - 48
Now change the sign of both side of the equation...
x = - ( - 48)
x = 48...
______________________Find x. A) 3 B) 3.75 C) 4.25 D) 5
Answer: B
Step-by-step explanation:
By the intersecting chords theorem, (3)(5)=4x, meaning x=3.75.
Graph the parabola.
y=(x+1)^2-3
Answer:
tap on the picture to see.Step-by-step explanation:
that should help
Answer:
I like to use Desmos when I graph parabolas. But I’m this case it would be 3 down and one to the left so the vertex should be (-1,-3) and then just graph x^2
Step-by-step explanation:
Hope this helps! ;-)
pls answer the question i am mark in brainlist
Answer:
x = -2
Step-by-step explanation:
Given: [tex]\textsf{$\dfrac{x+3}{x+4}=\dfrac{x+5}{x+8}$}[/tex]
1. Cross-multiply
(x + 3)(x + 8) = (x + 5)(x + 4)
2. Distribute
⟹ (x + 3)(x + 8) = (x + 5)(x + 4)
⟹ x(x) + x(8) + 3(x) + 3(8) = x(x) + x(4) + 5(x) + 5(4)
⟹ x² + 8x + 3x + 24 = x² + 4x + 5x + 20
3. Combine like terms
⟹ x² + 8x + 3x + 24 = x² + 4x + 5x + 20
⟹ x² + 11x + 24 = x² + 9x + 20
4. Subtract x² from both sides
⟹ x² - x² + 11x + 24 = x² - x² + 9x + 20
⟹ 11x + 24 = 9x + 20
5. Subtract 24 from both sides
⟹ 11x + 24 - 24 = 9x + 20 - 24
⟹ 11x = 9x - 4
6. Subtract 9x from both sides
⟹ 11x = 9x - 4
⟹ 11x - 9x = 9x - 9x - 4
⟹ 2x = -4
7. Divide both sides by 2 to isolate the variable
⟹ 2x ÷ 2 = -4 ÷ 2
⟹ x = -2
Write'15 cubed' as a power.
Answer:
[tex]15^{3}[/tex]
Step-by-step explanation:
[tex]15^{3} =(15)(15)(15)=3375[/tex]
Hope this helps
g(x) = x² + x
Evaluate g (a)
Reviewing for up and coming final please help
Answer:
g(a) = a² + a
Step-by-step explanation:
g(x) = x² + x
put x = a
:- g(a) = a² + a
[tex]g(x) = x^2 +x\\ \\g(a) =a^2 +a = a(a+1)[/tex]
A rectangle has an area of 48
48
square feet and a length of 12
12
feet.
Which answer choice shows the correct way to find
w
, the width of the rectangle?
CLEAR CHECK
12×==484 feet 12×w = 48 w = 4 feet
48−==1236 feet 48−w = 12 w = 36 feet
12×48==576 feet 12×48 = w w = 576 feet
2+24==4812 feet
Look at ivan’s check register. ivan spent $158.29 on groceries. he then transferred $250 to his savings account. a check register. a is the amount debited for groceries. d is the amount debited for a transfer. the letter represents where the amount of $158.29 should be written. the letter represents where the amount of $250 should be written.
The letter A represents where the amount of $158.29 should be written.
The letter D represents where the amount of $250 should be written.
What is a Cash Register?This refers to the automated machine that is used to handle cash transactions and also for making calculations.
Hence, we can see that from the complete information, Ivan has a cash register where he records the amount he spends on groceries which is $158.29, and also the transaction of sending $250 to his savings account.
However, in the cash register, Ivan uses the letter A to show where the amount of $158.29 should be written and the letter D represents where the amount of $250 should be written.
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Answer:
A and D
Edge 2022
pls help me find all missing sides and angles. ;-;
Answer:
see explanation
Step-by-step explanation:
the sum of the 3 angles in the triangle = 180° , then
∠ BAC + 51° + 90° = 180°
∠ BAC + 141° = 180° ( subtract 141° from both sides )
∠ BAC = 39°
using the tangent ratio in the right triangle
tan51° = [tex]\frac{opposite}{adjacent }[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{AC}{12.8}[/tex] ( multiply both sides by 12.8 )
12.8 × tan51° = AC , then
AC ≈ 15.8 ( to 1 dec. place )
using the cosine ratio in the right triangle
cos51° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{12.8}{AB}[/tex] ( multiply both sides by AB )
AB × cos51° = 12.8 ( divide both sides by cos51° )
AB = [tex]\frac{12.8}{cos51}[/tex] ≈ 20.3 ( to 1 dec. place )
i cant find the height to the area!!! THE SHAPE IS A TRIANGLE
area is 21.9
the base is 6
and the height is x
Answer:
x = 7.3
Step-by-step explanation:
area = base × height / 2
21.9 = 6 × x / 2
43.8 = 6x
x = 7.3
Answer:
7.3
Step-by-step explanation:
The formula to find the area of a triangle is (1/2)(a)h = A.
Replace the variable h (height) with x.
Isolate the x variable (height) in order to find the height value.
(1/2)(6)x = 21.9
3x = 21.9
x = 21.9/3
x = 7.3
GIVING BRAINLIEST TO WHOEVER GETS IT RIGHT!!!!
Answer: It should be 4 11/15 gallons.
Step-by-step explanation:
I multiplied both of the amounts.
Please help, I am bad at Trig
Answer:
the correct answer is A, thats when cos of ttheta is
x2 + 3x + 1 = 5. know the answer but need to understand how?
Answer:
[tex]x=-4,\: x=1[/tex]
Step-by-step explanation:
[tex]x^2+3x+1=5\\\\x^2+3x-4=0\\\\(x+4)(x-1)=0\\\\x=-4,\: x=1[/tex]
Make sure you use the Zero Product Property to solve for each factor when the equation is set equal to 0 and can be factored.
I need help. Find the ratio of the trig function.
Answer:
tanΘ = [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
tanΘ = [tex]\frac{opposite}{adjacent}[/tex]
the opposite side requires to be found.
let the opposite side be x then using Pythagoras' identity in the right triangle
x² + 12² = 20²
x² + 144 = 400 ( subtract 144 from both sides )
x² = 256 ( take square root of both sides )
x = [tex]\sqrt{256}[/tex] = 16
then
tanΘ = [tex]\frac{16}{12}[/tex] = [tex]\frac{4}{3}[/tex]
I need help with this problem
Answer:
a = -4
Step-by-step explanation:
(a + 2)/2 = - 1
a+2 = -1 * 2
a = - 2 - 2
a = -4
Answer:
-2.5
Step-by-step explanation:
soo your objective is to make a alone
first remove the denominator
a+2 / 2 = -1
a + 2 = -1/2
now minus 2 to both sides
a = -1/2 - 2
a = -2 1/2
this net can be folded to make a square pyramid. what is the surface area of the pyramid
Answer:
[tex]85in^2[/tex]
Step-by-step explanation:
to find the surface area we need to find the followng areas:
area of the square area of a triangle and multiply it by 4 (because there are 4 triangles)And once we have those areas, we add them to find the surface area.
Area of the square:
the formula to find the area of a square is:
[tex]a_{square}=l^2[/tex]
where [tex]l[/tex] is the length of the side: [tex]l=5in[/tex]
thus the area of the square is:
[tex]a_{square}=(5in)^2[/tex]
[tex]a_{square}=25in^2[/tex]
Area of the triangles:
the are of 1 triangle is given by
[tex]a_{triangle} =\frac{b*h}{2}[/tex]
where [tex]b[/tex] is the base of the triangle: [tex]b=5in[/tex] (the base of the triangle is the side of the square)
and [tex]h[/tex] is the height of the triangle: [tex]h=6in[/tex]
thus, the area of 1 triangle is:
[tex]a_{triangle} =\frac{(5in)*(6in)}{2}[/tex]
[tex]a_{triangle} =\frac{30in^2}{2}[/tex]
[tex]a_{triangle} =15in^2[/tex]
the area of the 4 triangles is (we multiply by 4):
[tex]a_{4-triangles}=4(15in^2)[/tex]
[tex]a_{4-triangles}=60in^2[/tex]
finally we add the area of the square and the area of the 4 triangles to find the total surface area:
[tex]Surface=25in^2+60in^2[/tex]
[tex]Surface=85in^2[/tex]
Find the area of the triangle
which company would cost the most to serve 300 students
Answer:
Company "A"
Step-by-step explanation:
its the highest line on the graph from the 300 point.
Identify the terms, coefficients, and constants in the expression 20x+13.
Answer: coeficient is 20 and the constant which is 13
Step-by-step explanation:
1. Which of the following measures would NOT produce a triangle? Choose all that apply.
three sides: 3 cm, 5 cm, and 7 cm
three sides: 5 cm, 7 cm, and 9 cm
three sides: 5 cm, 9 cm, and 15 cm
three sides: 3 cm, 5 cm, and 10 cm
Answer:
I believe the answers are :
5 cm, 9cm, and 15 cm
3 cm, 5 cm, and 10 cm
Step-by-step explanation:
When 2 sides that are not the hypotenuse are added and are less than the hypotentuse, a triangle cannot be formed.
The blue dot is at what value on the number line?
Answer:
I believe it would be -20 because the number line values skip by 2 or 3 each skip.
A triangle has sides with lengths of 25 kilometers, 60 kilometers, and 61 kilometers. Is it a
right triangle?
yes
no
2. Determine the principal that will earn $294 in 5 years at 6% per annum simple interest.
Answer:
state the formula which is S.I =P×T×R
how do I answer this question
Answer:
x = 4
Step-by-step explanation:
-x + 6 = 0.5x
1.5x = 6
x = 4
x^2+9=0? I need to find the solutions
Answer:
[tex]x=\pm 3i[/tex]
Step-by-step explanation:
[tex]x^2+9=0\\x^2=-9\\x=\pm 3i[/tex]
Because you cannot take the square root of a negative number to produce a real solution, then the result will be two conjugate complex numbers (hence the ± sign).
1. A rectangular pool is 8 yards long, 6 yards wide, and 5 feet deep. Convert the measurements of the length and width to feet.
Answer:
19
Step-by-step explanation:
inserts a digit to make numbers that are divisable by 24 if its possiable 38_36
Answer:
168
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLEST! What is the amplitude of the function graphed below?
Answer:
The amplitude is the highest point that the curve reached
Which is in your case = 2
ABCD is a parallelogram. Determine the measure of ∠B.
The measure of the ∠B of given parallelogram is 362 - 42x
In the above question, a figure which is known as Parallelogram is given, where the following angles are given :
Measure of ∠A = 6x + 14
Measure of ∠C = 9x - 7
Measure of ∠D = 17x + 5
We need to find, the measure of the ∠B
From the properties of a Parallelogram, we know that "The sum of all the interior angles of a parallelogram is equal to 360°". So using this property we'll find the measure of ∠B
Now,
∠A + ∠B + ∠C + ∠D = 360
16x + 14 + ∠B + 9x - 7 + 17x + 5 = 360
∠B + ( 16x + 9x + 17x ) = 360 - ( -14 + 7 -5)
∠B + 42x = 360 - (-2)
∠B = 362 - 42x
Hence, the measure of the ∠B is 362 - 42x
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Answer:
56 degrees
Step-by-step explanation:
Just did the Imagine Math
Find the outer perimeter of this figure.
Round your answer to the nearest hundredth.
Use 3.14 to approximate .
12.2 ft.
10 ft.
6 ft.
14 ft.
P = [?] ft.
Answer:
61.90
Step-by-step explanation:
12.2+14+14+6=46.2
of semi circle
circumference of semi circle = [tex]\pi[/tex]d
[tex]\pi[/tex]x10 = 10[tex]\pi[/tex]
semi circle so divide by 2 = 5[tex]\pi[/tex]
5[tex]\pi[/tex] = 15.7
46.2 + 15.7 = 61.9
