Answer:
Angle 1 is 56 degrees.
Step-by-step explanation:
139 and the other side make up 180 degrees. To find the missing angle, subtract them both.
180-139= 41 degrees
You know that there are 180 degrees in a triangle.
41+83= 124
180-124= 56 degrees
A question has five multiple choice answers. Find the probability of guessing an incorrect answer,
Answer:
4/5 or 80%
Step-by-step explanation:
Out of 5 answers, 1 is correct.
that means 4 are incorrect
The probability will be 4/5 or 80%
If my answer is incorrect, pls correct me!
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please help!!!
find the measure of the largest interior angle of this polygon
Answer:
122 or (3x-4).
Step-by-step explanation:
First, let's take a look at the polygon
The polygon has 5 sides.
We can calculate it's sum of interior angles by using (n-2)*180
Here, number of sides(n)=5
Therefore, (n-2)*180=(5-2)*180=3*180=540
Now that we got that out of the way, let's solve for x
2x+9+3x-8+3x-4+3x-10+2x+7=540
or,13x-6=540
or,13x=546
or,x=42
Now, solve for each interior angle,
2x+9=93
3x-8=118
3x-4=122
3x-10=116
2x+7=91
The largest here s 122 which is 3x-4.
SO, the largest interior angle=122 or (3x-4).
Rewrite 7/10 a multiple of benchmark percents.
a. 7 x 10%
b. 10 x 7%
c. 7x 1%
d. 10 x 70%
Step-by-step explanation:
a)70percent
b)70percwnt
c)7 percent
d)700percent
3. Lake City Jr. High Students:*** 12 out of every 18 ride a bus to school*** 9 out of every 15 live in Lake City*** 160 ride a bus to schoolHow many of the Jr. High students do not live in Lake City?
Let
x ----> total number of students Lake City Jr. High Students
we have that
12 out of every 18 rides a bus to school
160 ride a bus to school
Applying proportion
18/12=x/160
solve for x
x=(18/12)*160
x=240 total students
so
9 out of every 15 live in Lake City
that means
6 out of every 15 does not live in Lake City
Applying proportion
y -----> students that not live in Lake City
6/15=y/240
solve for y
y=(6/15)*240
y=96
therefore
96 students do not live in Lake CityThe monthly payment M of a mortgage P for n years with a fixed annual interest rate r can be calculated by the formula. M = p r/12 (1 + r/12)^12n/(1 + r/12)^12 n-1 Determine the monthly payment of a 30-year $450,000 mortgage with interest rate of 4.2% (r = 0.042). Define the variables P, r, and n and then use them in the formula to calculate M. The number of permutations nP_r of taking r objects out of n objects out repetition is given by: nP_r = n!/(n - r)! a) Determine how many six-letter passwords can be formed from letters in the English alphabet if a letter can only be used once. b)How many pass-words can be formed if the digits 0, 1, 2, ..., 9 can be
The monthly payment of a 30-year amount $450,000 mortgage with an interest rate of 4.2% is $2,071.09.
P = 450000
r = 0.042
n = 30
M = 450000 * 0.042/12 * (1 + 0.042/12)^360 / (1 + 0.042/12)^360-1
M = $2,071.09
a) There are 26 letters in the English alphabet so the number of six-letter passwords that can be formed from letters in the English alphabet if a letter can only be used once is 26P_6 = 26!/(26 - 6)! = 26!/(20!) = 300,750,000
b) There are 10 digits (0,1,2,3,4,5,6,7,8,9) so the number of passwords that can be formed if the digits 0, 1, 2, ..., 9 can be used is 10P_6 = 10!/(10 - 6)! = 10!/(4!) = 5040.
The monthly payment of a 30-year amount $450,000 mortgage with an interest rate of 4.2% is $2,071.09. There are 300,750,000 six-letter passwords that can be formed from letters in the English alphabet if a letter can only be used once, and there are 5040 pass-words that can be formed if the digits 0, 1, 2, ..., 9 can be used.
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if you have a slope of 1/2 that means you should
43. Find the equation of a line perpendicular to the y-axis passing through the point (4, 7).
9514 1404 393
Answer:
y = 7
Step-by-step explanation:
The y-axis is the vertical line x=0. A perpendicular line will be a horizontal line that will have an equation of the form ...
y = constant
In order for that line to go through a point with y-coordinate 7, the line must be ...
y = 7
someone help me please
39 - 24 + 6m
Which of the following describes 6m in the expression above?
A. factor
B. product
C. coefficient
D. sum
HELP ME ALSO WITH THIS!!!!!
1. Based on the information given, what is the Worthington Family's net worth? Will they qualify for the loan?
1
Net worth:
Will they qualify for the loan? (yes or no)
Question Completion:
The Worthington family has liquid assets of $10,000, use assets of $150,000 and investment assets of $34,000. They also have liabilities totaling $108,000. They need a loan from the bank and to qualify for the loan, they must have a net worth of $100,000. They will incur additional $7,000 in liabilities.
Answer:
1. The Worthington Family's net worth is:
= $79,000.
2. No. They will not qualify for the loan, as their net worth fell short of the requirement by $21,000.
Step-by-step explanation:
a) Data and Calculations:
Worthington Family's net worth:
Liquid assets = $10,000
Use assets = 150,000
Investment assets = 34,000
Total assets = $194,000
Liabilities = 115,000
Net worth = $79,000
Required net worth = $100,000
Shortfall in net worth = $21,000
b) The Worthington Family's net worth is the difference between their assets (the things that they own) and their liabilities (the things that they owe others). It is an important financial metric for calibrating the family's financial health. Computing it provides a useful snapshot of the family's current financial position. Financial institutions and other potential creditors use it to gauge if they might extend some credit facilities to the Worthington family.
Find the area of rhombus JKLM given the coordinates of the vertices. Round to the nearest tenth if necessary.
J(-2, -4), K(2, 2), L(6, -4), M(2, -10)
Answer:
The area of rhombus JKLM is 48 units²=====================================
Given Rhombus JKLM,Vertices at J(-2, -4), K(2, 2), L(6, -4), M(2, -10).To find The area of rhombus JKLMSolutionWe know that diagonals of rhombus are perpendicular to each other.
Hence its area is half the product of diagonals.
The diagonals are JL and KM and one of them is vertical and the other one horizontal since x- or y-coordinates are equal in pairs.
Let's find the length of diagonals, using the difference of coordinates:
JL = 6 - (-2) = 8 units,KM = 2 - (-10) = 12 units.Now find the area:
A = JL*KM /2 = 8*12 / 2 = 48 units²Plant-A-Seed's intern claims that he can no longer complete an order because he spilled a cup of coffee on the sales ticket. Help him complete the order by determining the missing dimensions from the information that is still visible. Explain how you determined possible unknown dimensions of each planter box.
Based on the common factors of 12, the possible dimensions of each planter box may be as follows:
Height = 6 inchesLength = 4 inchesWidth = 3 inchesVolume = 72 cubic inches.What are common factors?The common factors of a number are the divisors that can divide a number (the dividend) without a remainder.
For example, the common factors or divisors of 12 are 1, 2, 3, 4, 6, and 12.
Base area of the planter box = 12 square inches
Possible dimensions:Length = 4 inches
Width = 3 inches
Area = Length x Width
= 4 x 3
= 12 square inches
Height = 6 inches (assumed value)
The three dimensions of an object (especially, a planter box) are the height, length, and width.
Therefore, the volume = 72 cubic inches (6 x 4 x 3).
Thus, finding the common factors of 12 and choosing 4 and 3, the possible dimensions are indicated above.
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Which ordered pair makes both inequalities true?
y> -3x +3
y22x-2
O (1,0)
O (-1,1)
O (2,2)
O (0,3)
None of the ordered pairs (1, 0), (-1, 1), (2, 2), and (0, 3) make both inequalities true.
To determine which ordered pair makes both inequalities true, we can substitute the given values into the inequalities and check for validity:
1. (1, 0):
For y > -3x + 3: 0 > -3(1) + 3 -> 0 > 0, which is not true.
For y < 2x - 2: 0 < 2(1) - 2 -> 0 < 0, which is not true.
Therefore, (1, 0) does not satisfy both inequalities.
2. (-1, 1):
For y > -3x + 3: 1 > -3(-1) + 3 -> 1 > 6, which is not true.
For y < 2x - 2: 1 < 2(-1) - 2 -> 1 < -4, which is not true.
Therefore, (-1, 1) does not satisfy both inequalities.
3. (2, 2):
For y > -3x + 3: 2 > -3(2) + 3 -> 2 > -3, which is true.
For y < 2x - 2: 2 < 2(2) - 2 -> 2 < 2, which is not true.
Therefore, (2, 2) does not satisfy both inequalities.
4. (0, 3):
For y > -3x + 3: 3 > -3(0) + 3 -> 3 > 3, which is not true.
For y < 2x - 2: 3 < 2(0) - 2 -> 3 < -2, which is not true.
Therefore, (0, 3) does not satisfy both inequalities.
None of the given ordered pairs satisfy both inequalities simultaneously.
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An arrow is shot vertically upward at a rate of 160 feet per second from ground level. Use the projectile formula
h
=
−
16
t
2
+
v
0
t
+
h
0
h
=
-
16
t
2
+
v
0
t
+
h
0
to determine when the height of the arrow will be 114 feet.
Answer:
0.772 seconds; 9.228 seconds
Step-by-step explanation:
The given projectile formula with the given numbers filled in is ...
\(\displaystyle h=-16t^2+v_0t+h_0\\\\114=-16t^2+160t\)
We can "complete the square" to solve this for t, the times at which the height is 114 feet.
16(t² -10t) = -16(7.125) . . . . . rearrange, showing factor of 16
t² -10t +25 = -7.125 +25 . . . . divide by 16, add 25 to complete the square
t = 5 ±√17.875 ≈ 5 ± 4.228 . . . . take the square root, add 5
t ∈ {0.772, 9.228}
The arrow is 114 feet high after 0.772 seconds and again after 9.228 seconds.
Pls help!
Whoever answers in a few minutes with a clear answer will be marked brainiest!!!
Use exponent laws to write each expression with a positive power
Answer:
a. \(\tt \frac{1}{9}\)
b. \(\frac{1}{16}\)
c. 4
Step-by-step explanation:
\(\tt a. \:3^{-2}\)
We can use the negative exponent rule, which states that \(\boxed{\tt a^{-n} = \frac{1}{a^n}}\) So, we have:
\(\tt 3^{-2} = \frac{1}{3^2} = \frac{1}{9}\)
\(\hrulefill\)
\(\tt b.\: -2^{-4}\)
We can use the rule that \(\boxed{\tt -a^{-n} = (-1)^n \cdot a^n}.\) So, we have:
\(\tt -2^{-4} = (-1)^4 \cdot 2^{-4} = 1 \cdot \frac{1}{2^4} = \frac{1}{16}\)
\(\hrulefill\)
\(\tt c. \:(\frac{1}{2})^{-2}\)
We can use the negative exponent rule, which states that \(\boxed{\tt a^{-n} = \frac{1}{a^n}}\). So, we have:
\(\tt (\frac{1}{2})^{-2} = \frac{1}{(\frac{1}{2})^2} = \frac{1}{\frac{1}{4}} = 4\)
Answer:
Step-by-step explanation:
(a) 3^-2 = 1/9
(b) (-2)^-4 = 1/(-2)^4 = 1/16
(c) (1/2)^-2 = 1/(1/2)^2=1 / 1/4 = 4
Progress:Question ID: 1192645The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.Triangle X has mZA = 30°, m2B = 90°, and m2C = 60° with side lengths of AB = 9, BC = 12, AC = 15.Triangle Y has mZA = 30°, m B = 90°, and mzC = 60° with side lengths of AB = 9, BC = 12, AC = 15.Which statement best describes the relationship between these two triangles?They are similar but not congruent triangles.They are congruent triangles.C They are not similar triangles.They are neither similar nor congruent triangles.Save and closeSubmitPass
Take into account that similar triangles have congruent angles and a constant proportion between the length of their sides, congruent triangles have the lengths of their sides equal and congruent triangles.
Then, based on the previous description and the given triangles, you can conclude:
They are congruent triangles
(triangle X and Y have congruent angles and the lengths of their sides are equal)
Last year and investor purchased 115 shares of stock A at $90 per share
The difference in overall loss or gain between sell at the current day's high price or low price is found tp be the difference in overall gain as $280.10
The third option is correct.
How do we calculate?For stock A:High price value: 115 shares * $105.19 per share = $12,084.85
Low price value: 115 shares * $103.25 per share = $11,858.75
For stock B:High price value: 30 shares * $145.18 per share = $4,355.40
Low price value: 30 shares * $143.28 per share = $4,298.40
The overall value at high price:
$12,084.85 + $4,355.40
= $16,440.25
The overall value at low price:
$11,858.75 + $4,298.40
= $16,157.15
In conclusion, the difference in overall gain or loss:
$16,440.25 - $16,157.15 = $280.10
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What is the value of x?
Answer:
Step-by-step explanation:
(2x - 5)° + 45° = 180°
2x - 5 + 45 = 180
x = 70
If Ax) = 28 + 1 and g(x) = x7 - 7, find (f - g) (x).
What is 1.939 × 105 in standard form?
Hey there!
ANSWER: \(203.595\)EXPLANATION:\(1.939*105\)
Multiply.
\(1.939*105=203.595\\203.595(ANSWER)\)
Hope this helps!
\(-TestedHyperr\)
Answer:
193900
Step-by-step explanation:
usatestprep
Anyone know the answer?
Help, please
no links
9514 1404 393
Answer:
4/10 and 10/25
Step-by-step explanation:
If each of the ratios reduces to the same lowest terms, then they are a proportion. All are in lowest terms except the first pair. Reducing those gives ...
4/10 = 10/25 = 2/5
4/10 and 10/25 form a proportion
__
All of the other pairs are pairs of different ratios, so do not form a proportion.
what amount will be in the fund immediately after the last deposit?(full problem screen shot attached) .
The amount in the fund immediately after the last deposit is $1148830.185
Given,
The amount deposited by Steve annually = $53,700
Interest rate of the fund = 15%
Time period of the investment = 10 years
We have to find the amount in the fund immediately after the last deposit.
Here,
To calculate the future value after the last deposit, we need to use the following formula:
Future Value = {A[(1+i)^n-1]}/i
A = Annual deposit
Then,
FV = {53,700[(1.15)^9 - 1]} / 0.15 + 53,700
FV= 1095130.185 + 53,700
FV= $1148830.185
Therefore,
The amount in the fund immediately after the last deposit is $1148830.185
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someone please give me the answer to this question
Answer:
2250yd
Step-by-step explanation:
There are two picnic sections: a right triangle and a rectangle. The area of a rectangle can be found with A= l * b, meaning the area of the rectangle would be A= 60 * 25 = 1500yd. The right triangle has a base length of 30yd and a perpendicular of 50yd. The area of a right triangle can be found with 0.5bp. The area would be 750yd. 1500 + 750 = 2250yd
Convert 4.206 m into mm
Answer:
4206 is the answer of this question
Answer:
I think it will help you a lot.
what is the constant of proportionality for the relationship shown in this table?
The required constant of proportionality for the relationship is 1/2.
What is Constant of proportionality?As an illustration, we may write y = kx, where x is the amount of gas in gallons, y is the price in dollars, and k is the proportionality constant. In other words, the cost is directly related to the number of gallons pumped.
According to question:Let the relation between x and y is
y = kx
Where k is proportionality constant.
Using the given values of x ad y
1 = k(2)
k = 1/2
So, the constant of proportionality for the relationship is 1/2.
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What is the slope of line j?
Answer:
45 degrees glad to Help would like brainliest
Step-by-step explanation:
There was a total of 184 teachers and students at an archery lesson.
3/4
of the teachers is equal to of the students.
2/5
How many teachers were there at the archery lesson?
Find the number that is exactly halfway between and
3/10 and 4/5
Answer:
0.550
Step-by-step explanation:
A rectangle has a length pf 18 yards less than 4 times its width. if the area of the rectangle is 630 yards, find the length of the rectangle
Answer:
The width of the rectangle is approximately 8.904 yards, and the length of the rectangle is 24.71 yards.
Step-by-step explanation:
Let x be the width of the rectangle, then the length of the rectangle is 4x - 18.
The area of the rectangle is x * (4x - 18) = 630, so we can solve for x:
x * (4x - 18) = 630
Expanding and rearranging the equation:
4x^2 - 18x - 630 = 0
Using the quadratic formula, we can find the solutions for x:
x = (-b ± √(b^2 - 4ac)) / (2a)
where a = 4, b = -18, and c = -630.
x = (18 ± √(18^2 - 4 * 4 * -630)) / (2 * 4)
x = (18 ± √(18^2 + 2520)) / 8
x = (18 ± √(324 + 2520)) / 8
x = (18 ± √2844) / 8
x = (18 ± 53.23) / 8
Since width can't be negative, x must be positive, so:
x = (18 + 53.23) / 8
x = 71.23 / 8
x = 8.904
The length of the rectangle is 4 * 8.904 - 18 = 24.71 yards.