Answers
Answer:
x ≈ 18
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesTrigonometry
Law of Cosines: a^2 = b^2 + c^2 - 2(b)(c)cosA
a is a side lengthb is a side lengthc is a side lengthA is an angle corresponding with side aStep-by-step explanation:
Step 1: Define
a = x
A = 30°
b = 16
c = 30
Step 2: Solve for x
Substitute: x² = 16² + 30² - 2(16)(30)cos30°Exponents: x² = 256 + 900 -2(16)(30)cos30°Evaluate: x² = 256 + 900 -2(16)(30)(√3/2)Multiply: x² = 256 + 900 - 480√3Add: x² = 1156 - 480√3Subtract: x² = 324.616Isolate x: x = √324.616Evaluate: x = 18.0171Round: x ≈ 18Related Questions
What is the slope of a line perpendicular to the line whose equation is x-3y=-18
Answers
Answer: y = 3x + 2
Step-by-step explanation: Convert the equation to slope intercept form to get y = –1/3x + 2. The old slope is –1/3 and the new slope is 3. Perpendicular slopes must be opposite reciprocals of each other: m1 * m2 = –1
With the new slope, use the slope intercept form and the point to calculate the intercept: y = mx + b or 5 = 3(1) + b, so b = 2
So y = 3x + 2
m+4/3=r solve for m
Answers
Answer:
m=r-4/3
Step-by-step explanation:
Put 4/3 on the other side of the equals sign and change the sign
Hope this helped, Have a Great Day!!
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[tex]m + \frac{4}{3} = r \\ [/tex]
Subtract sides - 4 / 3
[tex]m + \frac{4}{3} - \frac{4}{3} = r - \frac{4}{3} \\ [/tex]
[tex]m = r - \frac{4}{3} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
MR. WINTER WAS STANDING ON THE MIDDLE RUNG OF HIS LADDER. HE THEN STEPPED UP 4 RUNGS, THEN DOWN 6 RUNGS. LATER HE CLIMBED BACK UP 7 RUNGS. FINALLY, HE CLIMBED UP 5 MORE RUNGS AND REACHED THE TOP OF THE LADDER. HOW MANY RUNGS WERE THERE ON HIS LADDER?
Answers
why all caps ? ;) ....
-8-3x=-8(1-7x) how many solutions will mark barilest
Answers
Answer:
x=0
Step-by-step explanation:
-8-3x=-8(1-7x)
add 8 to both sides =( -3x=56x)
subtract 56x from both sides (-59x=0)
divide both sides by -59 = (x=0)
y is directly proportional to x2
If y = 12 when X = 2 find
X when y = 300
Answers
The term GLOBAL ETHIC refers to a set of common moral values and ethical standards which are shared by the different faiths and cultures on Earth.
These common moral values and ethical standards constitute a humane ethic, or, the ethic of humanity. In view of the process of globalization this ethic of humanity has been termed by the famous Roman Catholic theologian and philosopher Professor Hans Küng as the “GLOBAL ETHIC”.
Although the concept of a GLOBAL ETHIC was at first introduced by Professor Hans Küng in 1989 it is, in his own words, “not a new invention but only a new discovery” of common principles which are as old as humankind.
There can be no doubt that a globalizing world with its tremendous social, ecological and moral problems needs a globalization of moral values and ethical standards, in short: a GLOBAL ETHIC, in order to survive as a place where our grandchildren and great-grandchildren can live a decent life.
CAN ANY ONE HELP ME GET 5 BRAINIEST
Answers
Answer:
Hey josh I am queen this is my new account hope u r ok and safe please why don’t u talk to me please josh
Step-by-step explanation:
I still love you josh I love you more then anything u will be in heart forever even tho u love country girl but I don’t care
I swear I am crying right now
b. Selena has a coupon for 15% off ice cream. If she pays $2.68 with the coupon, what was the original price of the ice cream?
Answers
Order the set of integers from greatest to least.
{8, 32, 55, 32, 19, 3
Answers
Answer:
55,32,32,19,8,3
Step-by-step explanation:
Answer:
55,32,32,19,8,3
Step-by-step explanation:
what number should be added to both sides of the equation to complete the square?
Answers
wich linear function has the same slope as tge one thatis reperswnted by the table?
Answers
Answer:
Answer: B
Step-by-step explanation: y=-1/5x+1/10
х
у
-3
0
-2
-5
-1
-25
0
-60
1
-110
2
-60
3
-25
4
-5
5
0
Answers
Answer:
um how do i know what belongs on x side and Y side
Step-by-step explanation:
need a picture
What theorem shows that l // m
Answers
I NEED HELP NOW!!! I ONLY HAVE 5 MIN TO TURN THIS IN
Answers
Answer:
a)
28000 + 3000·x = 36000 + 2000·x --> x = 8 years
b)
28000 + 3000·8 = $52000
Answer:
a. x = 8 yearsb. 52,000Step-by-step explanation:
company A = 28,000 + 3,000 (x)
company B = 36,000 + 2,000 (x)
where x = no. of years.
company A = company B28,000 + 3,000 (x) = 36,000 + 2000 (x)
3,000 (x) - 2,000 (x) = 36,000 - 28,000
1,000 (x) = 8,000
x = 8,000
1,000
x = 8 yearsplugin value of x = 8 into company A and Bcompany A = 28,000 + 3,000 (8)
company A = 52,000company B = 36,000 + 2,000 (8)
company B = 52,000Help with question 1 & 2 pls .
Answers
Answer:
1. (c)
2. (c)
Step-by-step explanation:
Find the third, fifth, and seventeenth terms of the sequence described by
the explicit formula: f(n)=-9.2-2.5(n-1)
Answers
Given:
The explicit formula of a sequence is
[tex]f(n)=-9.2-2.5(n-1)[/tex]
To find:
The third, fifth, and seventeenth terms of the sequence.
Solution:
We have,
[tex]f(n)=-9.2-2.5(n-1)[/tex]
For n=3,
[tex]f(3)=-9.2-2.5(3-1)[/tex]
[tex]f(3)=-9.2-2.5(2)[/tex]
[tex]f(3)=-9.2-5[/tex]
[tex]f(3)=-14.2[/tex]
For n=5,
[tex]f(5)=-9.2-2.5(5-1)[/tex]
[tex]f(5)=-9.2-2.5(4)[/tex]
[tex]f(5)=-9.2-10[/tex]
[tex]f(5)=-19.2[/tex]
For n=7,
[tex]f(7)=-9.2-2.5(7-1)[/tex]
[tex]f(7)=-9.2-2.5(6)[/tex]
[tex]f(7)=-9.2-15[/tex]
[tex]f(7)=-24.2[/tex]
Therefore, the third, fifth, and seventeenth terms of the sequence are -14.2, -19.2 and -24.2 respectively.
Help ASAP please!!!!!!!!!
Answers
Answer:
Δ JKL is similar to Δ ABC ⇒ D
Step-by-step explanation:
Similar triangles have equal angles in measures
In ΔABC
∵ m∠A = 15°
∵ m∠B = 120
∵ The sum of the measures of the interior angles of a Δ is 180°
∴ m∠A + m∠B + m∠C = 180°
→ Substitute the measures of ∠A and ∠B
∵ 15 + 120 + m∠C = 180
→ Add the like terms in the left side
∴ 135 + m∠C = 180
→ Subtract 135 from both sides
∴ 135 - 135 + m∠C = 180 - 135
∴ m∠C = 45°
The similar Δ to ΔABC must have the same measures of angles
If triangles ABC and JKL are similar, then
m∠A must equal m∠J
m∠B must equal m∠K
m∠C must equal m∠L
∵ m∠J = 15°
∴ m∠A = m∠J
∵ m∠L = 45°
∴ m∠C = m∠L
∵ m∠J + m∠K + m∠L = 180°
→ Substitute the measures of ∠J and ∠L
∵ 15 + m∠K + 45 = 180
→ Add the like terms in the left side
∴ 60 + m∠K = 180
→ Subtract 60 from both sides
∴ 60 - 60 + m∠K = 180 - 60
∴ m∠K = 120°
∴ m∠B = m∠K
∴ Δ JKL is similar to Δ ABC
Your roommate's closet is full of skeletons. There are containers full of skeletons which weigh pounds total. If there are containers, how much does each container weigh? Leave your answer in the form a^b.
Answers
Answer:
Each container weigh 10^3pounds
Step-by-step explanation:
The question lacks the necessary values. Let's restructure the question and include values.
Your roommate's closet is full of skeletons. There are containers full of skeletons which weigh 100,000 pounds total. If there are 100 containers, how much does each container weigh? Leave your answer in the form a^b.
From the question, we are given the following;
Weight of containers full of skeleton = 100000 pounds
Number of containers = 100
Required
Weight of each container
Let's say:
100containers = 100000pounds
1 container = xpound
Cross multiply
100×x = 100,000
Divide both sides by 100
100x/100 = 100,000/100
x = 10,000/100
x = 10^5/10^2
Using the law of indices
x = 10^{5-2}
x = 10^3
Hence the answer in form of a^b is 10^3 pounds.
write a equation that passes through the points 5,2 and 2,8
Answers
Answer:
y = -6/3x + 8
Step-by-step explanation:
The image of the point (9,0) under a translation is (7,4). Find the coordinates of
the image of the point (0,8) under the same translation.
Answers
Answer:
(-2, 12)
Step-by-step explanation:
How many total minutes is the Express train stopped from 7:00 am until 8:30 a.m
Answers
Answer is 1hr 30 minutes
I need help please
Answers
Answer:
false
Step-by-step explanation:
Answer:
False, it has no solution if the lines are parallel.
Question 6 (1 point)
Erica is collecting cans for a school fundraiser. She collects 5 the first day, 10 the
second day, and 15 the third day. If the pattern continues, how many cans will she
collect on the tenth day?
50 cans
15 cans
100 cans
065 cans
Answers
Scarlett and her friends are going into a movie theater. How much would it cost to
buy 5 drinks and 4 candies if each drink costs $4.50 and each candy costs $5.00?
How much would it cost to buy 5 drinks and 4 candies if each drink cost $d and each
candy cost $c?
Answers
Answer:
Step-by-step explanation:42.50
Answer:
5 drinks: $25.00 4 candies: $18.00 Total: $43.00
inn equation form: $5d+$4.5c=?
Step-by-step explanation:
5*5=25
4.5*4=18
25+18=43
Four friend do yard work for their neighbors over the weekend earning $15, &20, and $40, respectively. They decide to split their earnings equally among themselves. In total how much will the friend who earned $40 give to the others?
Answers
Answer:
$10 each
Step-by-step explanation:
There are four friends
Friend 1 = $15
Friend 2 = $20
Friend 3 = $40
Friend 4 = unknown
NOTE;
You didn't provide the earnings of the fourth friend is not given BUT the question can be solved without knowing the earnings of the fourth friend
The four friends decide to split their earnings equally among themselves
how much will the friend who earned $40 give to the others?
Amount given to others = $40 / 4
= $10
The friend who earned $40 will give $10 each to the others
can somebody please help me on these questions ASAP , I appreciate it so much :)
Answers
A group of hikers walks 3 miles east and then 1 mile north. After taking a break, they then hike 4 miles east to their final destination. What vector describes their hike from their starting position to their final destination? Let 1 unit represent 1 mile. The vector that describes their hike from their starting position to their final destination is
Answers
Answer:
The vector that describes their hike from their starting position to their final destination is [tex]\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi][/tex].
Step-by-step explanation:
In this problem we assume that orthogonal axes coincide with the north and east. We proceed to translate each sentence from statement into vectorial equations:
(i) A group of hikers walks 3 miles east and then 1 mile north:
[tex]\vec r_{A} = 3\,\hat{i}+1\,\hat{j}\,\,\,[mi][/tex]
(ii) After taking a break, they then hike 4 miles east to their final destination:
[tex]\vec r_{B} = 4\,\hat{i}\,\,\,[mi][/tex]
The vector that describes their hike from their starting position to their final destination is the sum of the vectors deducted above. That is:
[tex]\vec r = \vec r_{A}+\vec r_{B}[/tex] (1)
[tex]\vec r = (3\,\hat{i}+1\,\hat{j})+4\,\hat{i}\,\,\,[mi][/tex]
[tex]\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi][/tex]
The vector that describes their hike from their starting position to their final destination is [tex]\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi][/tex].
For the number .843356, round to the nearest 10th
Answers
The answer would be .8
The reason is .8 is in the tenths place and the 4 beside it makes it stay the same
Five or more up the score four or less let it rest
Answer: 0.8
Step-by-step explanation:
A pitcher can hold 5.2 liters of water. How many 0.4 liter glasses of water can be poured from the pitcher?
10
11
13
5
Answers
Answer is 13
Sam paid $131 for 4 Rodeo Concert Tickets. Each ticket cost the same amount. What was the cost of each concert ticket in dollars and cents?
what i it i need help
Answers
Answer:
$32.75 each ticket
Step-by-step explanation:
131 / 4 = $32.75 each ticket
Answer:
each ticket was $32.75
Step-by-step explanation:
You need to divide 131 by 4.
0.3x-2.4=1.25x
How to solve
Answers
Answer:
hi
Step-by-step explanation:
0
.
3
−
2
.
4
=
1
.
2
5
0.3x-2.4=1.25x
0.3x−2.4=1.25x
3
1
0
−
2
.
4
=
1
.
2
5
Answer:
x = -2.52631578
Step-by-step explanation:
Combine multiplied terms into a single fraction.
0.3x - 2.4 = 12.5x
3x/10 - 2.4= 1.25x
Again, combine multiplied terms into a single fraction.
3x/10 - 2.4= 1.25x
3x/10 - 2.4 = 5x/4
Add 2.4 to both sides of the equation
3x/10 - 2.4 = 5x/4
3x/10 - 2.4 + 2.4 = 5x/4 + 2.4
Simplify (Add the numbers)
3x/10 = 5x/4 + 2.4
Multiply all terms by the same value to eliminate fraction denominators.
3x/10 = 5x/4 + 2.4
2 x 2 x 5 x 3x/10 = 2 x 2 x 5(5x/4 +2.4)
Therefor, x = 2.52631578
Hope this helps, have a great day! :)