Answer:
in simplified version it would be x ≤-4
Step-by-step explanation:
multiply each term in x ≤-4 by -1
Angelica constructs a regular tetrahedron
The surface area of the regular tetrahedron is 339.08 [tex]in^{2}[/tex]
What is equilateral triangle?"It is a triangle that has all its sides equal in length and all angles are 60° in measure."
What are congruent triangles?"Two or more triangles are congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure."
What is a regular tetrahedron?"It is a triangular pyramid having congruent equilateral triangles for each of its faces."
Formula of area of regular tetrahedron:[tex]A=\sqrt{3}\times a^{2}[/tex], where 'a' is the edge length of tetrahedron
For given question,
Angelica used four congruent equilateral triangles.
She constructs a regular tetrahedron using four congruent equilateral triangles.
The length of each edge of tetrahedron = side length of equilateral triangle
So, each edge of tetrahedron measures 14 inches.
Using the formula of area of the regular tetrahedron,
[tex]A=\sqrt{3}\times a^{2} \\\\A=\sqrt{3}\times (14)^{2}\\\\A=1.73\times 196\\\\A=339.08~~in^2[/tex]
Therefore, the surface area of the regular tetrahedron is 339.08 [tex]in^{2}[/tex]
Learn more about regular tetrahedron here:
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HELP PLEASE I HAVE ONLY TODAY TO SUBMIT
Answer:
Step-by-step explanation:
I don’t not know how to do this and I’m struggling,please help.
Answer:
The answer is option c) 56.5 ft²
Step-by-step explanation:
Area of shaded region =
Area of Big Circle - ( Area of 1st small circle+ Area of 2nd small circle )
Area of 1st small circle:
π x r²
r = 3ft
Area = 3.14 x 3 x 3 => 28.26 ft²
Area of 2st small circle:
π x r²
r = 3ft
Area = 3.14 x 3 x 3 => 28.26 ft²
Area of big circle:
π x r²
r = 6ft ( ∵ Diameter of 1st small circle = 6 and since 2 small circles have equal area, their diameter should be the radius of big circle )
Area = 3.14 x 6 x 6 => 113.04 ft²
Area of shaded region => 113.04 - (28.26 + 28.26 )
=> 113.04 - 56.52
=> 56.52 ft²
Find the indicated limit, if it exists.
Answer:
[tex]\displaystyle \lim_{x \to -8} f(x) = 1[/tex]
General Formulas and Concepts:
Calculus
Limits
Limit Rule [Constant]: [tex]\displaystyle \lim_{x \to c} b = b[/tex]
Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]
Limit Property [Addition/Subtraction]: [tex]\displaystyle \lim_{x \to c} [f(x) \pm g(x)] = \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)[/tex]
Step-by-step explanation:
*Note:
When you graph the function, the left-hand and right-hand limit does equal the same.
Step 1: Define
[tex]\displaystyle f(x) = \left \{ {{x + 9, x < -8} \atop {-7 - x, x \geq -8}} \right.[/tex]
Step 2: Find Limit
Substitute in function [Limit]: [tex]\displaystyle \lim_{x \to -8} f(x) = \lim_{x \to -8} (-7 - x)[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to -8} f(x) = -7 - (-8)[/tex]Simplify: [tex]\displaystyle \lim_{x \to -8} f(x) = 1[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
Describe the relationship between GF and CD when the two lines are perpendicular to AB. Also describe the relationship between GF and CD when CD is not perpendicular to AB . Zoom in or out on the coordinate plane, if needed.
Answer:
See Explanation
Step-by-step explanation:
Given
Lines GF, CD and AB
Required
Relationship between GF and CD
The question is incomplete, as there is no attachment to support the given parameters.
The general solution goes thus:
(a) CD and GF perpendicular to AB
If two lines are perpendicular to another line; then the two lines are parallel to each other.
This means that CD and GF are parallel, and they have the same slope
(b) CD is not perpendicular to AB
Here, we know that GF is perpendicular to AB, CD is not;
This means that GF and AB are not parallel.
More information is needed to determine the actual relationship between GF and AB; but for sure, they are not parallel.
A random number from 1 to 5 is selected
50 times. The number 1 is selected 13 times,
2 is selected 8 times, 3 is selected 14 times, 4
is selected 6 times, and 5 is selected 9 times.
What is the relative frequency of selecting a 2?
3?
Answer:
Relative frequency of selecting a 2 = 8/50 = 0.16
Relative frequency of selecting a 3 = 14/50 = 0.28
Step-by-step explanation:
When we have a given experiment with given outcomes (such that each time that we perform the experiment, one outcome happens) the relative frequency of a given outcome is the quotient between the number of times that that outcome happened, and the total number of times that the experiment was performed.
Here the experiment is selecting a random number between 1 and 5, and it is performed 50 times.
Out of these 50 times, the outcome "2" appears 8 times.
Then the relative frequency of selecting the number 2 is:
f(2) = 8/50 = 0.16
And of these 50 experiments, the outcome "3" appears 14 times.
Then the relative frequency of selecting the number 3 is:
f(3) = 14/50 = 0.28
A pizza restaurant is having a contest. The restaurant advertises that one out of every 25 customers will win a small pizza. What is the probability that a customer will win?
Which number is equivalent to 2^3x = 10
Answer:
5/4
Step-by-step explanation:
see steps below:)
need help on this please
Answer:
5.7
Step-by-step explanation:
7^2- 4^2= 33
[tex]\sqrt{33}[/tex]= 5.7
Find the measure of the arc TDB in the circle P shown below:
[tex]\huge{ \mathfrak{ \underline{ Answer \: \: ✓ }}}[/tex]
The Angle formed by an arc on the centre of the circle is double the angle made by the same arc on the circumference of the circle.
So,
[tex] \boxed{ \mathrm{ \angle TDB = \dfrac{1}{2} \angle TPB }}[/tex]
[tex] \mathrm{\angle TDB = \dfrac{1}{2} \times 90 \degree}[/tex][tex] \mathrm{\angle TDB =45 \degree } [/tex]_____________________________
[tex]\mathrm{☠ \: TeeNForeveR \: ☠}[/tex]
Find the number of moles of Argon in 97.37 grams.
Answer:
n = 2.43 moles
Step-by-step explanation:
Given mass, m = 97.37 grams
The mass of Argon is, M = 39.948 g/mol
We know that,
No. of moles = given mass/molar mass
[tex]n=\dfrac{97.37}{39.948}\\\\n=2.43\ moles[/tex]
Hence, there are 2.43 moles of Argon.
The system of linear equations Negative 2 x + y = 8 and Negative 3 x minus y = 7 is graphed below.
On a coordinate plane, 2 lines intersect at (negative 3, 2).
What is the solution to the system of equations?
Answer:
x= -3
y= 2
Hope it helps :D
Answer:
its A
Step-by-step explanation:
on edge 2021
Jen deposits $9,500 into a bank account that pays her 4.5% simple interest for 5 years. How much interesrt will she earn over 5 years?
Answer:
$11838.7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Simple Interest Rate Formula: [tex]\displaystyle A = P(1 + r)^t[/tex]
P is principle amountr is ratet is timeStep-by-step explanation:
Step 1: Define
Identify variables
P = 9500
r = 4.5% = 0.045
t = 5
Step 2: Find A
Substitute in variables [Simple Interest Rate Formula]: A = 9500(1 + 0.045)⁵(Parenthesis) Add: A = 9500(1.045)⁵Evaluate exponents: A = 9500(1.24618)Multiply: A = 11838.7If f(x)=7(x-1)+8f(x)=7(x−1)+8 , what is the value of f(1)f(1) ?
Answer:
8
Step-by-step explanation:
All you have to do is plug in 1 for the x value, which leaves you with the equation 7(1-1) + 8, then you simplify it to be 7(0) + 8
7 times 0 is 0, so you are left with 8 as your answer
Someone please help <3
How many solutions does the equation 6n − 6n − 12 = 14 − 2 have?
Thank you!!
Answer:
i think there's zero solutions
What are complementary and supplementary angles?
Answer:
Complementary angels are basically two angles that add up to 90 degrees. Supplementary angles are two angles that add up to 180 degrees.
Step-by-step explanation:
(self-explanatory)
I hope this helps, have a nice day.
7 - 2x - x4
b) How many terms are there?
c) What is the leading coefficient?
d) What is the constant term?
e) What is the degree of the expression?
Answer: (see explanation)
Step-by-step explanation:
terms: 7, 2x, x4
leading coefficient: 7
constant term: 7
I'm sorry I'm unsure how to solve the last question.
what is the solution of 1
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
24
Step-by-step explanation:
You need to plug in 3 for all of the x-values
That looks like 2(3)^2 + 5(3) - 9
Then if you simplify it is 2(9) + 15 - 9
Then simplify one last time and you get a final answer of 24
[tex]_____________________________________[/tex]
ANSWER:x - intercept:[tex] \\ \tt ( - \frac{ 5 \sqrt{97} }{4} ,0),( - \frac{5 + \sqrt{97} }{4} ,0)[/tex]
y - intercept[tex]\tt(0, - 9)[/tex]
[tex]_____________________________________[/tex]
꧁____YunaKoharuChan____꧂The opposite of the integer represented by point A is?
30 POINTS I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS please help this is very important this is a big part of my grade
Answer:
[tex]1.\:2^x=64, x=\boxed{6},\\2.\:x=\left(\frac{2}{3}\right)^3,x=\boxed{\frac{8}{125}}\\3.\:3\cdot (3^4)=3^x, x=\boxed{5}\\4.\:\frac{16}{25}=x^2,x=\boxed{\frac{4}{5}},[/tex]
Step-by-step explanation:
[tex]1.\\\\2^x=64,\\\log 2^x=\log64,\\x\log 2=\log 64,\\x=\frac{\log 64}{\log 2}=\boxed{6}[/tex]
[tex]2.\\x=\left(\frac{2}{5}\right)^3=\frac{2^3}{5^3}=\boxed{\frac{8}{125}}[/tex]
3. This problem incorporates an exponent property.
Exponent property used: [tex]a^b\cdot a^c=a^{(b+c)}[/tex], yielding an answer of [tex]\boxed{5}[/tex]
[tex]4.\\\\\frac{16}{25}=x^2,\\x=\sqrt{\frac{16}{25}}=\frac{\sqrt{16}}{\sqrt{25}}=\boxed{\frac{4}{5}}[/tex]
Answer:
1. 6
2. 8/25
3. 5
4. 4/5
Step-by-step explanation:
Please help the image is attached
Answer:
I tried my best below
Step-by-step explanation:
8. 54
9. 2
for a smoothie Isaac needs 3 quarts of strawberry puree which is sold in bottles of 1 pint and bottles of 1 cup he already had 1.75 quarts of puree if he wants to buy exactly three bottles in total how many of each bottle should he buy pleasee help its really important
Answer:
There are 2 bottle of 1 pint and 1 bottle of 1 cup.
Step-by-step explanation:
Okay, so first let's look at the conversion factors of these units:
1 quart=2 pints & 1 quart= 4 cups.
Alright well, we already have 1.75 out of 3 quarts of the strawberry puree so all
we need left is 1.25 quarts left. So since 1 pint= .5 quarts and 1 cup=.25 quarts
we need to buy 2 pints and 1 cup to give us our three quarts.
Hence, there are 2 bottle of 1 pint and 1 bottle of 1 cup.
Hope this answer helps you :)
Have a great day
Mark brainliest
A cylinder is wight inches high with a radius of three inches.It contains a ball with a diameter of five inches. What volume is left unoccupied in the cylinder?
Complete Question
A cylinder is eight inches high with a radius of three inches.It contains a ball with a diameter of five inches. What volume is left unoccupied in the cylinder?
Answer:
160.74 cubic inches
Step-by-step explanation:
Step 1
Find the volume of cylinder
= πr²h
A cylinder is eight inches high with a radius of three inches.
Height = 8 inches
Radius = 3 inches
Volume of the cylinder = π × 3² × 8
= 226.19 cubic inches
Step 2
Find the volume of sphere
= 4/3 π r³
It contains a ball with a diameter of five inches.
Diameter = Radius /2 = 5/2 = 2.5 inches
Volume of the Sphere = 4/3 × π × 2.5³
= 65.45 cubic inches
Step 3
What volume is left unoccupied in the cylinder?
This is calculated as:
Volume of Cylinder - Volume of sphere
= 226.19 cubic inches - 65.45 cubic inches
= 160.74 cubic inches
Therefore, the volume is left unoccupied in the cylinder is 160.74 cubic inches
2x2 = 4 4x 10 = 40 x 32 = ?
Answer:
1280
Hope this helped :D
3x + 5y = 23
y = x + 3
Answer:
(1,4)
Step-by-step explanation:
hey! i’ll give brainliest please help
Answer:
A subject and a predicate
Step-by-step explanation:
Have a good day :)
4M
+N7
____
123
Determine the value of the missing digits
Answer:
M = 6
N= 7
Step-by-step explanation:
M + 7 = 3
M= 6
6 + 7 = 13, so we get 3 and carry 1
Now 1 + 4 + N = 12
1 + 4 + 7 = 12
So N = 7
Therefore,
46 + 77 = 123
Find the total pay for biweekly at $9.50 per hour
how many hours do they work? Please be more spesific
Answer:
The answer is 760
Step-by-step explanation:
If you make $9.50 an hour with 8 hours a day and 40 hours a week you multiply the 9.50 with 40 to get 380. Now, you have the total for one week you can double it to get the pay for two weeks which come out to 760.
Can some one help me answer all ten questions they are due at 10:00 I will give out brainly. Part 3 Bonus question
Answer:
226
Step-by-step explanation:
Area of rectangle:
x+6=17
x=11
11+6=17
11+3=14
17×14=238
Area of triangle:
[tex] \frac{1}{2} \times b \times h[/tex]
Use phytagoras theorem to find the base of the triangle:
c²=a²+b²
5²=4²+b²
25=16+b²
b²=25-16
b²=9
b=√9
b=3 (only the half)
b=6 (the whole base)
[tex] \frac{1}{2} \times 6 \times 4[/tex]
3×4
12
Shades region:
238-12
=226
PLEASE HELPPP, ITS DUE IN 1 HOUR!! I WILL GIVE BRAINLIEST!! LINKS=REPORT
PLEASE SOLVE FOR THE CHART AND GRAPH. PLEASE SHOW ON GRAPH
Answer:
It's the first graph
Step-by-step explanation: