Answers
Answer:
9
Step-by-step explanation:
To calculate the value of x we must first understand the total value of all angles in a triangle.
Sum of all angles in a triangle = 180 degrees
That said, we need to write an equation for the total number of degrees in the triangle and solve for x
This will be as follows:
(13x+2)+(5x-7)+(3x-4)=180
The we combine the like terms. This will be as follows:
(13x+5x+3x)+(2-7-4)=180
Simplify further to get
21x-9=180
Simplify further by collecting all like terms on one side of the equal. This will entail the addition of 9 on each side of the equal sign as follows:
21x-9+9=180+9
you will find 21x=189
Simplify further by dividing both sides of the equal sign by 21 to solve for x
21x/21=189/21
Therefore x=9
Related Questions
GIVING BRAINLIEST!!!
A pole is being decorated with 15-meter ribbons that are strung from the top of the 7.2-meter pole to a point on the ground. Which is the approximate measure of the angle formed by the ribbon and the pole?
Answers
The angle formed by the ribbon and the pole is 29°
Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let θ represent the angle formed by the ribbon and the pole.
Hence:
[tex]sin(\theta)=\frac{7.2}{15} \\\\\theta=sin^{-1}0.48\\\\\theta=29^o[/tex]
The angle formed by the ribbon and the pole is 29°
Find out more on Trigonometric ratio at: https://brainly.com/question/1201366
50 Points Per Answer
Create a function in factored form for a roller coaster.
• Your coaster ride must have at least 3 relative maxima and/or minima
• The ride length must be at least 2 minutes (blueprint must use seconds)
• The coaster ride starts at 250 feet
• The ride dives below the ground into a tunnel at least once
• The ride must have one “turn around/bounce” (Mutliplicity 2)
• The ride must have at least one “twist/swerve” (Multiplicity 3)
• The ride must hit ground level at least three times (Three real zeros)
Answers
Answer:
Since you have 3 local extremas, you will have a polynomial function of degree 4. The domain of the function is [0, 4].
Use these initial conditions as your guidelines:
f(0) = 250
f(x) has at least one x-intercept (crosses the x-axis) and must be in the interval (0, 4].
f(x) decreases in any of the following intervals: (0, 1) or (2, 3)
Remember, you will have an arbitrary function that satisfies these conditions.
Step-by-step explanation:
I did :Your coaster ride must have at least 3 relative maxima and/or minima
Keisha bought seventy-two trading cards for her and her eleven friends. If Keisha and her friends get an equal amount, how many cards does each person receive?
Answers
Answer: 6
Step-by-step explanation: You might think the answer is 72/11 but you must realize that keisha counts as a person too. Thus, the answer is 72/12 or 6 cards for each person :)
Would appreciate brainly <3
72 trading cards
11 friends
to find:how many cards each of her friend receives.
solution:[tex] \frac{72}{11} [/tex]
[tex] = 6.5454545455[/tex]
[tex]nearest \: whole \: number = 7[/tex]
so, approximately each of her friend will get 7 cards.
answer= option C
need help ASAP its due tonight
Answers
Answer:
Step-by-step explanation:
15/3 + 3 =
15/3 + 9/3 =
24/3 =
8
2(15) + 3 30 + 3 33
------------- = -------------- = ----------------
3 3 3
33/ 3 =
11
mark me brainliest :D
first answer: 8
second answer:11
what is -3 (x+2) = 16 -x
Answers
Answer:
x = -11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTerms/Coefficients
Step-by-step explanation:
Step 1: Define
Identify.
-3(x + 2) = 16 - x
Step 2: Solve for x
[Distributive Property] Distribute -3: -3x - 6 = 16 - x[Addition Property of Equality] Add x on both sides: -2x - 6 = 16[Addition Property of Equality] Add 6 on both sides: -2x = 22[Division Property of Equality] Divide -2 on both sides: x = -11a certain store is selling packages of 10 pencils and 4 pens. the manager wants to make a larger package in the same ratio. if the large package has 10 pens, how many pencils are in the large package?
Answers
Answer: 25 pencils
Step-by-step explanation:
2 × 5 = 10
5 × 5 = 25
you're so cool! I hope you have an awesome day!
Answers
Answer:
The functions each have a positive Slope
a.)True, False
Step-by-step explanation:
Function A Slope: (y2-y1)/(x2-x1) = (7-3)/(2-1) = 4
Function B Slope: Count Four Boxes up from the 2 intercepts and then 2 over --> 4/2 = 2
These are both positive but 4 does not equal 2
a.) We have just proved that they have different slopes now we must determine if they have the same b. Because we know the slope of Function A we can simply move backward to get to x=0
When X=0 y= 3-4 = -1 And because in Function B we can clearly see the b at y=4 this is false.
Hope this helps and makes you have an Awesome Day!
(a−2b)^3 when a=−4 and b=−1\2
Answers
Answer:
- 125
Step-by-step explanation:
answer the three questions pls
Answers
3.60 divided by 12 is 0.3 or 30 cents. 5 divided by 20 is 0.25 or 25 cents. 6.40 divided by 32 is 0.20 or 20 cents
The FM radio station KAMB broadcast from an antennae atop a 150 meter tall radio tower at a frequency of 90 MHz with a total radiated power of 40 kilowatts. Neighbors have complained about problems they attribute to excessive radiation from the tower, but the city engineer who measured the radiation level near the base of the tower found it to be well below the accepted standard. You have been hired by the HOA to assess the engineer's report. You know a few things about electromagnetic radiation and therefore conclude that we must find the optimum place on the ground to measure the maximum radiation emitted from the antennae. From your extensive knowledge in physics, you know that the intensity of radiation, I, is given by the formula:
I=12/32π*Psin2(θ)/r^2
where P is the power output, r is the distance from the top of the tower to the point on the ground, and θ is the angle measured from the tower to r.
Find the distance R from the base of the tower to the optimum location for taking the radiation reading. (m)
What is the maximum radiation reading from the ground in kw/m^2
If the city code requires that electromagnetic radiation be under 200 microwatts per square meter, is this antenna operating within city code? Yes or No
Answers
Answer: 150 m, 5.305*10^-5 kW/m^2, No
Step-by-step explanation:
See attachment, hope this helps
Using the radiation intensity formula we will have to:
a) [tex]150 m[/tex]
b) [tex]5.305*10^{-5} kW/m^2[/tex]
c)No
From the data informed, we have:
[tex]h=150m\\P=40KW[/tex]
Using the given formula and performing some mathematical operations:
[tex]I=\frac{12Psin^2(\theta)}{32(\pi)r^2} \\I= \frac{12(40)(R/r)^2}{32(\pi)r^2} \\= \frac{15R^2}{r^2\pi } \\= \frac{15R^2}{(R^2+150^2)^2\pi} \\[/tex]
deriving the given equation, we will have:
[tex]=\frac{(R^2+150^2)^22R-R^2(2(R^2+150^2))2R}{(R^2+150^2)^2}[/tex]
So from this equation we have that the answer of the letter A corresponds:
[tex]R=150[/tex]
For letter B we will have to develop this equation:
[tex]I= 5.30X10^{-5}[/tex]
As for the letter C, when converting the value found, it should give 200 microwatts, which is false.
Learn more: brainly.com/question/10148635
The standard diameter of a golf ball is 42. 67 mm. A golf ball factory does quality control on the balls it manufactures. Golf balls are randomly measured to ensure the correct size. One day, an inspector decides to stop production if the discrepancy in diameter is more than 0. 002 mm. Which function could represent this situation?.
Answers
The absolute value function that could represent this situation is:
[tex]|D - 42.67| = 0.002[/tex]
The absolute value function is defined by:
[tex]|x| = x, x \geq 0[/tex]
[tex]|x| = -x, x < 0[/tex]
It measures the distance of a point x to the origin.The diameter should be of 42.67 mm with an allowance of 0.002 mm. Thus, the absolute value of the difference between the diameter and of 42.67 should be of 0.002, that is:
[tex]|D - 42.67| = 0.002[/tex]
A similar problem is given at https://brainly.com/question/24514895
The sum of two numbers is 110.The larger number is 2 less than 7 times the smaller.Find the Large number
Answers
Answer:
The larger number is 96.
Step-by-step explanation:
[tex]let \: the \: two \: numbers \: be \: a \: and \: b \\ a + b = 110 \\ let \: a \: be \: the \: larger \: number \\ a = 7b - 2 \\ we \: can \: get \: the \: value \: of \: b \: by \: substituting \: the \: value \: above \: for \: a \: in \: eq \: 1 \\ 7b - 2 + b = 110 \\ 8b - 2 = 110 \\ 8b = 110 + 2 \\ 8b = 112 \\ b = \frac{112}{8} \\b = 14\\ calculate \:the \: value \: of \: a \: using \: the \: equation \: above \\ a + b = 110 \\ a = 110 - 14 \\ a = 96 \\ hence \: the \: large \: number \: is \: 96[/tex]
What’s that answer please
Answers
1. The coordinates tell you that every 12 seconds 5 gallons of water runs from the
hose into a bucket
How many gallons of water were in the bucket after 1 second
Answers
Answer:
5/12 of a gallon
Step-by-step explanation:
5 divided by 12 is 5/12
( DISCUSSION TOPIC )
NEED WITHIN 10 MINUTES!!!!
Up to this point, the only types of numbers you've seen have been rational numbers.You can write any rational number as a fraction.
The prefix ir- means not.
What do you think it means for a number to be irrational?
Can you think of any numbers that are irrational?
Answers
Answer:
A number that is irrational are numbers that cannot be expressed as a terminating or repeating decimals or in the form (a/b) where a and b are integer and b does NOT equal 0.
An example of an irration number is the square root of 10, or pie because it is a infinited number
I hope this helps!
Answer:
the irrational is kind of a part
of the math that includes rational and
irrational numbers
Which of the following is the difference of two squares

4g-16h
16a^2-4y^2
2x^2-4y^2
25m^3+100n^2
Answers
Answer:
2nd option
Step-by-step explanation:
A difference of squares has the general form
a² - b²
where the terms on either side of the subtraction ( the difference ) are both perfect squares.
The only one fitting this description is
16a² - 4y²
= (4a)² - (2y)² ← difference of squares
Find the measure of Angle 8
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Angle 8 = 99°Since they form corresponding Angle pair ~
Solve by substitution.
x-2y=2
2x-5y=3
I give Brainliest
Please explain step by step.
Answers
[1] x = 2y - 1
// Plug this in for variable x in equation [2]
[2] 2•(2y-1) - 5y = -3
[2] - y = -1
// Solve equation [2] for the variable y
[2] y = 1
// By now we know this much :
x = 2y-1
y = 1
// Use the y value to solve for x
x = 2(1)-1 = 1
solve pls brainliest
Answers
Answer:
1/4
Step-by-step explanation:
The constant of proportionality is 1/4.
Answer:
b
Step-by-step explanation:
The form of an equation representing proportion is
y = kx ← k is the constant of proportionality
y = [tex]\frac{1}{4}[/tex] x ← is in standard form
with k = [tex]\frac{1}{4}[/tex]
Can someone help please no links
Answers
Answer:
-4 or 4 I would have to go with-4!!
Step-by-step explanation:
I hope this helps in any way!!
4-0,9+(-0,11)-(-1,3) PLEASE HELP
Answers
Answer:
-20
Step-by-step explanation:
PEMDAS
If h(x) = 15x - 171, find h(3)
Answers
H(3) means to replace x in the equation with 3 and then solve:
15(3) - 171
45-171
-126
Answer: -126
ILL GIVE YOU BRANLIEST IF YOU ANSWER!!!
Answers
Answer:
25×4 + 10×5
He can but 4 reserved seats and 5 general seats.
Step-by-step explanation:
25×4 is 100
10×5 is 50
100+50 is 150 dollars.
Each container on a cargo ship holds 60 boxes of furniture.
Which table shows the values for 60c, the number of boxes
in c containers?
4
5
6
Number of Containers, C
Number of Boxes, 60c
240 300 360
4
5
6
Number of Containers, C
Number of Boxes, 60c
240 280 320
B.
4
5
6
Number of Containers, C
Number of Boxes, 60C
240 350 460
C
Answers
Answer:
imagine cheating on your star assessment but same tho the answer is c
Step-by-step explanation:
because i solved it on paper
Answer:
Step-by-step explanation:
C
here is a screenshot please help 15 points
Answers
You need to raise a total of $1,000 for your trip. There are 20 days before you leave. You estimate that you will be able to sell 25 candy bars per day. How much should you charge for each candy bar?
Answers
Answer:
1,000 ÷25 = 40 so 40÷20= $2.00
your answer is $2.00 hope this helps
helpppp
simplify √5 × √3
Answers
Answer:
√15
Step-by-step explanation:
When you multiply surds:
multiply the numbers inside the square roots i.e. √(5 × 3) = √15simplify if possible (not possible in this case)Hope this helps!
HELP ME PLEASE!!!!!!!!!!!!
Answers
i frist 1 1 2
Step-by-step explanation:
Y
Answer:
Step-by-step explanation:
i think for number 1 is growth and number 2 decay and for 3 growth...hope this helps!
Consider the ratio of boys to girls of 4:5.
a) What is the total number of parts?
b) What fraction of the total are boys?
c) What fraction of the total are girls?
d)If there were 18 students in total,how many of them are boys?
e)If there were 18 students in total, how many of them are girls?
Answers
Step-by-step explanation:
[tex]a)[/tex]
[tex]4+5=9 (parts)[/tex]
[tex]b)[/tex] our total is [tex]9[/tex] our boys are [tex]4\\[/tex]
our fraction is [tex]^4/_9[/tex]
[tex]c)[/tex] [tex]^5/_9[/tex]
[tex]d)[/tex] our whole used to be [tex]9[/tex] but we doubled it so it is [tex]18[/tex]
so we double [tex]4[/tex] which equals [tex]8[/tex]
[tex]^8/_{18}[/tex]
[tex]e)[/tex] [tex]^{10}/_{18}[/tex]
Brainliest please
SUPER EASY! FRACTIONS PLS HELP!
a kindergraten teacher has a bucket of 51 crayons and another bucket of 5 redpencils,14 blue pencils and 6 green pencils.the bucket of crayons contains 19 red crayons ,17 blue crayons 9 green crayons and 6 yellow crayons.
1.what is the fraction of green crayons to the total number of crayons written in simplest form
2.the teacher places the crayons and pencils in one bucket what is the fraction of yellow crayons and green pencils wriiten in simplest form
3.penicls come in boxes of 6 the number of boxes of blu pencils in the bucket can be represented by the mixed numeral 2 2/6 what is the number of boxes in simplest form?
Answers
Answer:
1: 1/3
2: 3/19
3: 7/3
Step-by-step explanation:
