Answer: 110 degrees
Triangle sum theory tells us that all the internal angles are equal to 180.
Meaning, we can solve 2x+3x+3x+4=180 for x
x=22
Then solve for 3x+4, which equals 70.
Last step, take 70 from 180 to find the external angle!
110 :)
Answer:
Exterior angle is equal to 110
Step-by-step explanation:
So to find the exterior angle, you must find the interior angle first.
You know that all 3 angles within the triangle must equal to 180 degrees, so what we can do is set up this equation to reflect that statement:
2x+3x+(3x+4) = 180
Group like terms:
8x+4=180
Solve for x:
8x = 176
x = 22
We can double check to see this matches up with all of the other angles inside:
2x = 44
3x = 66
3x+4 = 70
44 + 66 + 70 = 180
We also know that a straight line is 180 degrees
So, ? = 180 - 70
? = 110 degrees
A grab-bag contains 30 packages worth $.65 each, 10 packages $.60 cents each, and 15 packages worth $.30 each. What is the expected value if you have to pay $.50 to pick one package at random?
Answer:
Expected value of package = $0.04 (Approx.)
Step-by-step explanation:
Given:
30 packages at $0.65 each
10 packages at $0.60 each
15 packages at 0.30 each
Pick up price for random one = $0.50
Find:
Expected value of package
Computation:
Total cost of 30 package = 30 x 0.65
Total cost of 30 package = $19.5
Total cost of 10 package = 10 x 0.60
Total cost of 10 package = $6
Total cost of 15 package = 15 x 0.30
Total cost of 15 package = $4.5
Total cost = 19.5 + 6 + 4.5
Total cost = $30
Cost of random package = 30 / [30+10+15]
Cost of random package = $0.54
Expected value of package = 0.54 - 0.50
Expected value of package = $0.04 (Approx.)
An arc has a central angle of 2/5 pi and a length of 6 pi. What is the circumference of the circle?
Answer:
15 pi.
Step-by-step explanation:
2/5=6/x
x=15
This is how I would answer it, but there is an error with the question. The measure of the central angle of an arc is supposed to be equal to the length of the arc.
Please answer these and don’t just type in random things so u can get the points , I wanted to give 50 but I don’t trust some of you with answering.
Answer:
2) 6,290
3) 13,540
Step-by-step explanation:
Formula for each question:
Amount of money made = Base salary + (Amount sold × Commission percentage)
2)
17% = 0.17
0 + (37000 x 0.17)
6290
3)
6% = 0.06
10000 + (59000 x 0.06)
10000 + 3540
13,540
20. A construction company is hired to resurface a straight section of road.
• The section is 100 yards long and 18 feet wide.
• The company's truck can haul 250 cubic feet of gravel per load.
What is the minimum number of truckloads required to completely cover the section of
road to a depth of 6 inches?
A 3
B. 4
C.
10
D. 11
Answer:D
Step-by-step explanation:
Convert 100 yards to feet, which becomes 300 feet.
6 inches into feet, 0.5 feet.
18 feet times 300 feet times 0.5 feet is 2700 cubic feet.
Divide 2700 by 250 and you get 10.8. Meaning, you need 11 trucks since there is a remaining 0.8.
The minimum number of truckloads required to completely cover the section of road to a depth of 6 inches should be 11.
Calculation of the minimum number:Since
The section is 100 yards long and 18 feet wide. The company's truck can haul 250 cubic feet of gravel per load.
So here first we have to convert 100 yards to feet so it should be 300 feet.
Now 6 inches into feet should be 0.5 feet
Now the total be like
= [tex]18 \times 300 \times 0.5[/tex]
= 2700
Now the minimum number should be
= [tex]2700 / 250[/tex]
= 10.8
= 11
Learn more about number here: https://brainly.com/question/24585170
Help please homework
Answer:
Y=7
Step-by-step explanation:
(X,Y) or (-2,?)
X=-2
4×(-2)-4y=20
-8-4y=20
-4y=20+8 /÷(-4)
Y=7
Can I get help?
I don’t know how old he is?
Answer:
B
Step-by-step explanation:
If you separate it it's the number 13 so it has to be correct. :) it always works for me....well only like 70% of the time but it' better than nothing.
will 5 star worth 76pts
Answer:
i can't see anything
Step-by-step explanation:
One of the legs of a right triangle measures 5 cm and its hypotenuse measures 9 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.
Can someone help please and thanks
answer is 7.5
[tex] {9}^{2} = {5}^{2} + {x}^{2} \\ 81 = 25 + {x}^{2} \\ - 25 \: \:- 25 \\ 56 = {x}^{2} \\ \sqrt{56} = \sqrt{x} \\ 7 .4833... \\ 7.5[/tex]
3/4y+6=0 steps in order
Answer : y = - 8
3/4y+6=0
Step 1: Subtract 6 from both sides :
3/4y + 6 - 6 = 0 - 6
3/4y = -6
Step 2: Multiply both sides by 4/3 :
( 4/3 ) × ( 3/4y ) = ( 4/3 ) × ( -6 )
Final answer is y = - 8
All of my points to these "simple" questions
Answer:
x = 66°
∠MON = 57°
x = 13°
Step-by-step explanation:
To tired to explain, just take my word for it...
Answer:
1.
X=66
2.
57
3.
13
Step-by-step explanation:
Good luck .
Find the value of y when x= 7.
y=-4x
Answer:
y = -28
Step-by-step explanation:
y=-4x
Let x=7
y = -4*7
y = -28
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
The number of sandwiches sold by four stores during one week is shown in the graphs. Which store has the MOST skewed data?
6. Monthly Mortgage payments can be found using the formula Below:
M-PG2)(1+1)"
(1+12"-1
M = monthly payment
P = amount borrowed
r=annual interest rate
n = number of monthly payments
The Ranallo family just bought a house. They qualified for an annual interest rate of 5.2% and their monthly payment
was $800 for a 30 year mortgage. Algebraically determine the amount of their loan to buy the house.
Answer: your equation is poorly written/wrong hence I used the equation below
answer : $289156.63
Step-by-step explanation:
applying the formula to calculate monthly repayment of Mortgage
M = P [ r(1+r)^n / ( ( 1+r )^n ) -1 ) ] ----- ( 1 )
M = Total monthly payment = 800 * 12 * 30 = $ 288,000
P = ?
r = 5.2% / 12 = 0.4%
n = 30 * 12 = 360 months
Back to equation 1
P = M / [ r(1+r)^n / ( ( 1+r )^n ) -1 ) ]
= 288000 / [ 0.004 ( 1.004)^360 / (( 1.004)^360 ) - 1 ) ]
= 288,000 / -0.996 = - $289156.63 ( It has a negative value because It is a loan borrowed )
Will Give Brainliest
Let x2+8x=7 .
What values make an equivalent number sentence after completing the square?
Enter your answers in the boxes.
x2+8x+ ? = ?
Answer:
4/6
Step-by-step explanation:
im smart trust
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
Carl is correct. So the 2nd option
Step-by-step explanation:
A rectangle- a quadrilateral
it also had 4 sides and vertices.
I hope this Helps!
Could somebody do this for me
Answer:
Step-by-step explanation:
I NEED HELP PLEASE- ‼️‼️‼️
Answer:
18x^2 - 30x
Step-by-step explanation:
Distribution:
You just have to distribute 6x by each term in the parenthesis.
Equation: 6x(3x-5)
(You can also think of it as: 6x * 3x + 6x * -5)
18x^2 - 30x
This is as simplified as can it can be.
(You can’t add terms that have different variables, seeing as the first term has x^2 and the second one only has x).
A bag of apples weighs 7 4/10 pounds.a crate of bananas is 5 times as heavy as the apples. What is the total weight of the fruit
Answer:
44.4
Step-by-step explanation:
7 4/10x5=37
37+7 4/10=44.4
Together they swam a total of 175 laps. Swimmer B swam 25 more than twice as many laps as Swimmer A.
Answer:
75
Step-by-step explanation:
175= 25+2a
The number of laps that Swimmer A swam was 50 laps.
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
Let we suppose that:
Swimmer A swam x lapsSwimmer B swam y laps.Then, according to the given data, we have:
x + y = 175 laps
y = 25 + 2x (25 more than twice of laps of A is the number of laps of B).
Thus, we get a system of two equations as:
[tex]x + y = 175\\y = 25 + 2x\\[/tex]
From second equation, putting value of y in first equation, we get:
[tex]x + (25 + 2x) = 175\\3x + 25 = 175\\3x = 150\\\\x = \dfrac{150}{3} = 50 \: \rm laps[/tex]
As x is the number of laps Swimmer A swam, thus, the number of laps that Swimmer A swam was 50 laps.
Learn more about solving system of linear equations here:
https://brainly.com/question/13722693
pls pls pls, I beg you to answer this question only if you know the correct answer please please please I beg you
Answer:
2) -47, 33, -243, 907, -88
4) C & D
5) 30, 45, 0, -10
6) B
Answer:
1.)-47
33
-243
907
-88
2.)c, d
3.)Lighthouse=45
-3×4y = (4+5y)-72 answer fast with steps plz
Answer:
-12y=5y-68 true for all X
Step-by-step explanation:
-3x4y=(4+5y)-72
simplify:
-3x4y=12y
simplify:
(4+5y)-72
remove parentheses:
4+5y-72
subtract the numbers:
4-72= -68
=5y-68
-12y=5y-68
Answer:
the answer would be 4
Step-by-step explanation:
−3(4y)=4+5y−72
−12y=4+5y+−72
−12y=(5y)+(4+−72)(Combine Like Terms)
−12y=5y+−68
−12y=5y−68
Step 2: Subtract 5y from both sides.
−12y−5y = 5y−68−5y
−17y= −68
Step 3: Divide both sides by -17.
−17y -68
------------ = -----------
-17 -17
y = 4
PLEASE HELP!!!
sin 0 = 9/41. Find tan 0.
Answer:
B. 9/40
Step-by-step explanation:
just got the answer
The value of the tanθ is 9/40 after applying the Pythagoras theorem option (C) 9/40 is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have a trigonometric ratio:
As we know, the trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
sinθ = 9/41
sin is the ratio of the side opposite to the hypotenuse.
From the Pythagoras theorem:
Adjacent side² = hypotenuse² - opposite²
Adjacent side² = 41² - 9²
Adjacent side = 40
tan is the ratio of the side opposite to the adjacent
tanθ = 9/40
Thus, the value of the tanθ is 9/40 after applying the Pythagoras theorem option (C) 9/40 is correct.
Learn more about trigonometry here:
brainly.com/question/26719838
#SPJ2
What is the slope of a line perpendicular to the line whose equation is x + 3y = -12
Answer:
5
Step-by-step explanation:
,
explain how to evaluate simplify and convert to radical form (x^3/8)^3/4
Answer:
[tex](x^\frac{3}{8})^\frac{3}{4} = \sqrt[32]{x^9}[/tex]
Step-by-step explanation:
Given
[tex](x^\frac{3}{8})^\frac{3}{4}[/tex]
Required
Convert to radical form
[tex](x^\frac{3}{8})^\frac{3}{4}[/tex]
Evaluate the exponents
[tex](x^\frac{3}{8})^\frac{3}{4} = x^\frac{3*3}{8*4}[/tex]
[tex](x^\frac{3}{8})^\frac{3}{4} = x^\frac{9}{32}[/tex]
Split the exponent
[tex](x^\frac{3}{8})^\frac{3}{4} = (x^9)^\frac{1}{32}[/tex]
Apply the following law of indices
[tex](x^a)^\frac{1}{b} = \sqrt[b]{x^a}[/tex]
So, we have:
[tex](x^\frac{3}{8})^\frac{3}{4} = \sqrt[32]{x^9}[/tex]
What is
7.5% tax on
a $18
sweater?
19.35 or 1.35
Answer:
$1.35 will be your answer
Step-by-step explanation:
18 x 0.075 = 1.35
Answer:
[tex]1.35[/tex]
Step-by-step explanation:
7.5% of 18$ is 1.35.
It would make no sense if the tax cost more than the actual item.
I suck at math
The math problem is below
Answer:
Brooklyn earns four more dollars than Anna does each hour.
Step-by-step explanation:
So basically in order to get the amount ech of them recieve you would have to divide. So for Anna's since her least given number is 10 hours you would divide how much she earns (256) by how many hours she has been working (10) and you get 25.6
Now for Brooke she is given only one piece of evidence so you would use that she has been working for 26 hours and earns 769.6. So divide her earning by the hour and get 29.6
Subtract each of the answers (29.6-25.6) and you would get 4
Sorry if it doesn't make sense I was trynna rush and give you the answer
Answer:
Brooklyn earns four more dollars than Anna does each hour.
Step-by-step explanation:
square the term in the parentheses? Please help
Answer:
There is no parenthesis here
Step-by-step explanation:
add the question or equation or problem next time
Help ASAP I’ll mark you as brainlister
Answer:
22π
Step-by-step explanation:
C = 2πR
C = 2π(11)
C = 22π cm
Pls aware rn I need this no links
Answer:
23 degrees
Step-by-step explanation:
. that is the answer
Which choice is equivalent to the product below?
√2 x √8 x √4
A. 8 √2
B. 4 √2
C. 4
D. 8
Answer:
8
Step-by-step explanation: