Answer:
90 degrees
Step-by-step explanation:
a triangles angles add up to 180
this means that you can add all the angles together and get 180
you can first add 30 and 60 and then subtract the sum from 180
30 + 60 = 90
180 - 90 = 90
the last angle is 90 degrees
Hey ! there
Answer:
Third angle is equal to 90 degreesStep-by-step explanation:
In the question we are given with two angles of the triangles that are 30° and 60° . And we are asked to find the third angle of triangle .
For solving this question we must have knowledge of angle sum property which says that the sum of all the angles which are present inside the triangle ( interior angles ) is equal to 180°.
Solution : -
As we know that ,
First angle = 30°Second angle = 60°Third angle = x (Here we are assuming third angle as x because in question it is not given and we have to find the value of third angle)So ,
[tex] \longmapsto \qquad \: 30° + 60° + x° = 180°[/tex]
Step 1 : Adding 30° and 60° :
[tex] \longmapsto \qquad \:90° + x° = 180° [/tex]
Step 2 : Subtracting 90° from both sides :
[tex] \longmapsto \qquad \: \cancel{90°} - \cancel{90 ° } + x° = 180° - 90° \: [/tex]
On further calculations , We get :
[tex] \longmapsto \qquad \: \blue{\underline{\boxed{\frak{x° = 90°}}}}[/tex]
Henceforth , value of x that is our third angle of triangle is 90° .Verifying : -
Now we are verifying our answer by adding all the angles of triangle and equating them with 180° because of angle sum property. So ,
Angle 1 + Angle 2 + Angle 3 = 180°30° + 60° + 90° = 180°90° + 90° = 180°180° = 180°L.H.S = R.H.SHence , Verified .Therefore, our solution is correct .
#Keep LearningAnswer number 6 please. Bots don’t answer I’m just trying to get help
Answer:
B
Step-by-step explanation:
20 × 2/5 = 8
15 × 2/5 = 6
5 × 2/5 = 2
p/s : the pic is for question no 7. i thought that you want the number 7 so i solved it first. then i reread your question. then i realized u actually want number six. so...
yeah, your welcome :)
Find the volume of the cone below.
Answer:
C. 2027.4 m^3
Step-by-step explanation:
volume = (1/3) · π · r^2 · h
volume = (1/3) · π · 8.8^2 * 25
volume = (1/3) · π · 1936
volume = (1/3) · 1936π
volume = 2027.4 m^3
If fixed costs to print a certain Bible are $15,000 and
variable costs are $25 per Bible, what must be the selling
price to earn $10 per Bible if 5,000 Bibles are printed?
The selling price to earn $10 per Bible if 5,000 Bibles are printed when the fixed costs per print is $15,000 and variable costs are $25 per Bible, is $38.
What is target profit?The target profit is the profit that is expected by a manufacturer from the sale of its product.
The target profit can be established and used to determine the selling price.
When the target profit is added to the fixed cost per unit and the variable cost per unit, the resultant figure is the selling price.
Data and Calculations:Fixed costs per print = $15,000
Number of Bibles per print = 5,000
Fixed costs per Bible = $3 ($15,000/5,000)
Variable costs per Bible = $25
Expected profit per Bible = $10
The selling price = $38
Thus, the selling price to earn $10 per Bible if 5,000 Bibles are printed when the fixed costs per print is $15,000 and variable costs are $25 per Bible, is $38.
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Levi spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -14.1°F. Between 9am and noon, the temperature rose 17.8°F. Between noon and 3pm, the temperature went down 16.8°F. Between 3pm and 6pm, the temperature dropped 12.3°F. What was the temperature at 6pm?
Answer:
-25.4°F
Step-by-step explanation:
-14.1 + 17.8 = 3.7
3.7 - 16.8 = -13.1
13.1 - 12.3 = -25.4
What is the probability that the sampling error made in estimating the population mean salary of all classroom teachers by the mean salary of a sample of 64 classroom teachers will be at most $1000?
Using the normal distribution and the central limit theorem, it is found that there is a 0.5934 = 59.34% probability that there is an error of at most $1000.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].Researching the problem on the internet, it is found that the population has mean and standard deviation given, respectively, by [tex]\mu = 57300, \sigma = 9600[/tex].
For samples of 64, the standard error is given by:
[tex]s = \frac{9600}{\sqrt{64}} = 1200[/tex]
The probability of an error of at most $1000 is the probability of a sample mean between $56,300 and $58,300, which is the p-value of Z when X = 58300 subtracted by the p-value of Z when X = 56300, hence:
X = 58300:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{58300 - 57300}{1200}[/tex]
Z = 0.83
Z = 0.83 has a p-value of 0.7967.
X = 56300:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{56300 - 57300}{1200}[/tex]
Z = -0.83
Z = -0.83 has a p-value of 0.2033.
0.7967 - 0.2033 = 0.5934.
0.5934 = 59.34% probability that there is an error of at most $1000.
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The length, breadth and height of a rectangular room are in the ratio of 3:2:1. If the room contains 3072 cubic meter of air, find the length, breadth and height of the room.
Answer:
length: 24 mbreadth: 16 mheight: 8 mStep-by-step explanation:
Let k represent the multiplier of the ratio units that will give actual dimensions. The the height can be represented by k, the breadth by 2k, and the length by 3k. The volume of the room will be ...
V = LBH
V = (3k)(2k)(k) = 6k³
3072 m³ = 6k³ . . . . . use known volume
512 m³ = k³ . . . . . . . divide by 6
8 m = k . . . . . . . . . take the cube root
The height of the room is 8 m, its breadth is 16 m, and its length is 24 m.
Answer:
See below ↓↓↓
Step-by-step explanation:
Given :
Length, breadth, and height in the ratio 3 : 2 : 1Room contains 3072 cubic meter of air [refers to volume]Solving :
Let the length, breadth, and height be 3x, 2x, and x respectivelyMultiply them and equate to the volume(3x)(2x)(x) = 30726x³ = 3072x³ = 512x = 8Solution :
Length = 3x = 24 mBreadth = 2x = 12 mHeight = x = 8 mPlease Help there are 3 questions.
Answer:
1) There are 15 in it, which means we need to find the 8th. The 8th is 6, which means the median is 6. We then need to find the other quartiles.
8/2=4, which means we need to look at the 4th,5th and 12th,13th.
The first one is FIVE, and the second is SEVEN. Therefore, the FIRST ONE.
2)113
3)37
Which statement is true about the ordered pair (1 , 7)? A. To plot the ordered pair (1 , 7), travel seven units to the right on the x-axis and one unit up on the y-axis, from the origin. B. To plot the ordered pair (1 , 7), travel one unit to the right on the y-axis and seven units up on the x-axis, from the origin. C. To plot the ordered pair (1 , 7), travel one unit to the right on the x-axis and seven units up on the y-axis, from the origin. D. To plot the ordered pair (1 , 7), travel seven unit to the right on the y-axis and one units up on the x-axis, from the origin.
Answer:
C is the correct answer.
Step-by-step explanation:
You're trying to find a true statement about the point (1,7)
A. To plot the ordered pair (1 , 7), travel seven units to the right on the x-axis and one unit up on the y-axis, from the origin.
B. To plot the ordered pair (1 , 7), travel one unit to the right on the y-axis and seven units up on the x-axis, from the origin.
C. To plot the ordered pair (1 , 7), travel one unit to the right on the x-axis and seven units up on the y-axis, from the origin.
D. To plot the ordered pair (1 , 7), travel seven unit to the right on the y-axis and one units up on the x-axis, from the origin.
_____________________________________________________
Solving:
A is incorrect because it shows the point (7,1).
D is incorrect because that isn't the proper way to graph a coordinate.
B is incorrect because it says travel one unit to the right on the y axis which is the incorrect axis to graph the point (1,7).
C is your correct answer because you need to move 1 unit to the right on the x-axis to get to the coordinate (1,0). Then, you need to go 7 units up on the y-axis to reach (1,7).
A lender estimates the closing costs on a home loan will be 3.75% of the loan amount of $120,000. the actual closing costs are listed below. closing cost charge loan origination $300 title insurance $600 attorney’s fees $1,250 appraisal $550 inspection $525 recording fees $125 escrow $2,000 evaluate the lender’s good faith estimate. a. the lender made an excellent estimate; it was equal to the actual closing costs. b. the lender made a very good estimate; it was within 0.25% of the actual closing costs. c. the lender made a fairly good estimate; it was between 0.25% and 0.5% of the actual closing costs. d. the lender made a poor estimate; it was off by more than 0.5% of the actual closing costs.
The lender’s good faith estimate is that he made a poor estimate; it was off by more than 0.5% of the actual closing costs.
What is closing cost?All the expenduture and charges charged by a lander and other parties is called the closing cost.
A lender estimates the closing costs on a home loan will be 3.75% of the loan amount of $120,000. Thus, the estimate closing cost is,
[tex]C_{ec}=\dfrac{3.75}{100}\times120000\\C_{ec}=4500[/tex]
The actual closing costs are listed below.
Loan origination $300Title insurance $600 Attorney’s fees $1,250 Appraisal $550 Inspection $525 Recording fees $125 Escrow $2,000.The total annual cost is,
[tex]C= $300 +$600 +$1,250 +$550 +$525 +$125 +$2,000\\C=4800[/tex]
Total annual cost is $300 more than the estimate closing cost. In the percentage form,
[tex]p=\dfrac{4800-4500}{4500}\times100\\p=6.66\%[/tex]
Thus, the lender’s good faith estimate is that he made a poor estimate; it was off by more than 0.5% of the actual closing costs.
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Answer:
Its D trust me
I got it right from the other person
Expand and simplify (2x−12) ^2
Answer:
[tex]\boxed{4x^{2} - 48x + 144}[/tex]
Step-by-step explanation:
Given expression:
(2x - 12)²To simplify the expression, we will use the formula (a - b)² = a² - 2ab + b².
[Where "a and b" are the first and second term in (a - b)²]
[tex]\rightarrowtail (2x - 12)^{2}[/tex]
In this case, the first term of (2x - 12)² is "2x" and the second term is "12".
[tex]\rightarrowtail (2x)^{2} - 2(2x)(12) + (12)^{2} \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{First term = a = 2x; Second term = b = 12]}[/tex]
Now, simplify the expression.
[tex]\rightarrowtail (2x)^{2} - 2(2x)(12) + (12)^{2}[/tex]
[tex]\rightarrowtail (2x)(2x) - (4x)(12) + (12)(12)[/tex]
[tex]\rightarrowtail \boxed{4x^{2} - 48x + 144}[/tex]
A local band spent $2,000 to record and make 400 CDs. They sold all of their CDs and made a profit of $500. How much did they charge for each CD?
Answer:
$6.25 for each CD
Step-by-step explanation:
6.25 x 400 = 2,500
2,500 - 2,000 = 500
there is a 500 profit
a number is divisible by 11 if
Answer:
Solution : A number is divisible by 11, if the difference of sum of its digits in odd places from the right side and the sum of its digits in even places from the right side is divisible by 11. Since difference is 11 which is divisible by 11, therefore 5918 is divisible by 11.
Step-by-step explanation:
Solution : A number is divisible by 11, if the difference of sum of its digits in odd places from the right side and the sum of its digits in even places from the right side is divisible by 11. Since difference is 11 which is divisible by 11, therefore 5918 is divisible by 11.
Use the points in the diagram to name the figure.
D) Line JK
<----->
JK
Hope it helps :)
A spinner and 4 cards are shown below:
A spinner with 5 equal sectors is shown in the figure. The colors Green, Blue, Purple, Yellow, and Red are marked on it. The arrow points at the purple color. Four cards are shown on the right side. The colors Red, Yellow, Blue, and Pink are marked on them.
Jane spins the spinner and selects a card without looking. What is the probability that the spinner stops at purple and a pink card is selected?
1 over 20
1 over 5
1 over 4
9 over 20
Answer:
1 over 20
Step-by-step explanation:
Given that:
a spinner and 4 cards
A Spinner ⇒ 5 equal sectors;Color: Blue,Purple,Yellow,Red,Green
Arrow point at purple
Four cards ⇒ Color : Red,Yellow,Blue,Pink
Jane spins the spinner & selects card without looking.
To Find - Probability spinner stops at purple & select pink card.
Solve:
Multiply 4 (the number of cards) with 5 (The number of equal sectors)
[tex]\frac{1}{5}\times\frac{1}{4}=\frac{1}{20}[/tex] {1 × 1 = 1} {5×4=20}
~lenvy~
Answer:
1 over 20
Step-by-step explanation:
Given the following:
1 spinner and 4 cards
A Spinner which has 5 equal sectors;Color: Green, Blue,Purple,Yellow,Red.
{Arrow point at purple}
Four cards ⇒ which color are Red,Yellow,Blue,Pink
Jane spins the spinner & selects card without looking.
To Find → Probability spinner stops at purple & select pink card.
Since, purple and pink only has one in each of Spinner/card
Thus,
Spinner (5 equal sectors - 1/5}
Card {4 cards - 1/4}
1/4 × 1/5 = 1/20
Hence, probability spinner stops at purple & select pink card is [A] 1/20
[RevyBreeze]
x^2-x-42=0
Help I just need the line of symmetry
Answer:
Step-by-step explanation:
answers: x = 7
x = -6
let me know if you need anymore help.
mark me brainliest please.
answer this easy please help
Answer:
1320
Step-by-step explanation:
The sample ad 600 chips. They wanted to test 36000 chips. 600*60=36000
If 22 out of 600 chips were defective, and 600*60=36000
Then 1320 chips were defective out of the 36000 because 22*60=1320.
Which caculation and answer show how to convert 3/12 to a decimal?
The easiest way to convert a fraction to a decimal is to divide the numerator (the top of the fraction) by the denominator (the bottom of the fraction)
3/12=0.25
The polynomial x^3-kx^2+kx+2 has a factor of (x-2). What is the value of k?
[tex]\text{Let}~ f(x) = x^3-kx^2 +kx +2.\\\\\text{If}~ x-2~ \text{is a factor of}~ f(x)~ \text{then,}\\ \\f(2) =0\\\\\implies 2^3-k\cdot 2^2 +2k+2 =0\\\\\implies -4k+2k+8+2=0\\\\\implies 10-2k=0\\\\\implies 2k =10\\\\\implies k= \dfrac{10}2 = 5\\\\\\\text{Hence, the value of k is 5.}[/tex]
42 ft.
30 ft
Both triangles are similar The area of the larger triangle is about 382 ft
Answer:
just awnsering for the points sorry man
Step-by-step explanation:
The Art Club is displaying the students' works in the main hallway. In a row of 12 randomly ordered
paintings, what is the probability that Tim's and Abby's paintings are in the 6th and 7th positions?
The probability is the ratio of the favorable event to the total number of events. Then the probability is 0.76%.
What is probability?
Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.
The Art Club is displaying the students' works in the main hallway. In a row of 12 randomly ordered paintings.
Then the probability that Tim's and Abby's paintings are in the 6th and 7th positions will be
[tex]P = \dfrac{1}{^{12}P_2} \\\\\\P = \dfrac{1}{\dfrac{12!}{(12-2)!}}\\\\\\P = \dfrac{1}{132}\\\\\\P= 0.007575 \approx 0.0076 \ or \ 0.76 \%[/tex]
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What is the value of z so that -3 and 3 are both solutions of x2 + z = 25?
0 41
016
09
o 22
Answer:
I think it is B (16)
Step-by-step explanation:
A baseball bat costs $41. This is $9 more than four times the wholesale cost of the bat.Find the bat's wholesale cost.
We can find the bat's wholesale cost by working backwards -
Do $41 - 9 to get $32, then we can divide the 32 by the 4 to get $8.
Therefore, the wholesale cost of the bat is $8.
Happy to help!
Answer:
The bat's wholesale cost is $8
Step-by-step explanation:
You first have to subtract 9 from 41 as that will be 4 times the wholesale cost, which is $32. Then you have to divide 32 by 4, as we want to get the wholesale cost, not 4 times of the wholesale cost, and this would give us the wholesale cost, which is $8.
Zahra plans to draw a triangle with angles measuring 50 degrees, 60 degrees, and 70 degrees. Which is true about Zahra’s plan?
Zahra cannot make a triangle with these angle measures.
Zahra can only draw one unique triangle with these angle measures.
Zahra can make exactly two triangles with these angle measures.
Zahra can make more than one triangle with these angle measures.
Answer:
Zahra cannot make a triangle with these angle measures.
Step-by-step explanation:
What is the area of the playground shown? The edges of the playground meet at right angles, except for the edge whose length is not given. Show all work.
Answer:
520,000
Step-by-step explanation:
1400 x 200 = 280000
(400 + 800) x 400 /2 = 240000
240000 + 280000 = 520000
The area of the playground is 520000 square feet.
What is the area?The area is the amount of area occupied by an object's flat (2-D) surface or shape.
Given that the edges of the playground meet at right angles, except for the edge whose length is not given.
And to find the area of the composite figure,
find all the areas separately.
There is a square with a side length of 400 feet.
A rectangle with dimensions 200 feet by 600 feet.
Another rectangle with dimensions 1400- 600 = 800 feet by 200 feet.
And a triangle with a base of 400 feet and a height of 400 feet.
The area of the playground = (400 x 400) + (200 x 600) + (800 x 200) + (1/2 x 400 x 400)
The area of the playground = 160000 + 280000 + 80000
The area of the playground is 520000 square feet.
Therefore, the area is 520000 square feet.
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If the given is DEFG is a kite how do I prove that triangle EFH is congruent to triangle GFH
Answer:
They both have H hoel
Step-by-step explanation:
\
The car model was built on a 1:36 scale. If the length of the car is 180 inches, how many inches long is the model?
Answer:
the results are
a. 1,080-inch
b. 90 feet
Step-by-step explanation:
there are 4 steps to get to your resluts
Determine the oreadred pair for (-10,3) when it has been reflected over the y-axis
Answer:
(10 , 3)
Step-by-step explanation:
When you reflect over the y-axis, you are flipping the sign of the x-coordinate.
Likewise, when you reflect over the x-axis, you are flipping the sign of the y-coordinate.
In this case, you are reflecting over the y-axis, and the pair given to you is (-10, 3). When you reflect over the y-axis, you must flip the sign of the x-coordinate.
(-10 , 3) reflected over the y-axis is (10 , 3).
~
What quadrilateral can you draw the has exactly one pair of parallel sides
Answer:
I belive that will be a trapazoid
Step-by-step explanation:
Both sides on the top and bottom are parallel
Please tell me if im wrong!
Answer:
Trapezium
Step-by-step explanation:
It has exactly one pair of parallel sides
2. Solve the inequality and graph the solution
V-6 ≥ 4
Answer:
V≥10
Step-by-step explanation:
V−6≥4
Add 6 to both sides.
V≥4+6
Add 4 and 6 to get 10.
V≥10
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Hoped this helped :)
The function f(x) = x2 6x 3 is transformed such that g(x) = f(x − 2). find the vertex of g(x). (−1, −8) (−3, −4) (−1, −6) (−5, −6)
Answer: (-1,-6)
Step-by-step explanation:
x^2+6x+3
g(x) = f(x-2)
replace all value of x in the f(x) function to (x-2)
(x-2)^2 + 6(x-2) + 34
(x-2)(x-2) + 6(x-2) + 34
expand through FOIL and distribution
x^2-4x+4+6x-12+3
combine like terms
x^2+2x-5
-b/2a = x value of vertex
-2/2(1) = x value
x value = -1
plug in -1 for all values of x in the g(x) equation to solve for y value
(-1)^2+2(-1)-5
1-2-5 = -6
y = -6
x = -1
(x,y) = (-1,-6)
The vertex of the considered function g(x) = f(x − 2) is given by: Option c: (-1,-6)
What is vertex form of a quadratic equation?If a quadratic equation is written in the form
[tex]y=a(x-h)^2 + k[/tex]
then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)
This point (h,k) is called the vertex of the parabola that quadratic equation represents.
How to convert the given equation to vertex form?We first take out coefficient of x squared, and then inside the bracket, we try to make perfect square like situation.
So, we're given that:
[tex]f(x) = x^2 + 6x + 3[/tex][tex]g(x) = f(x-2)[/tex]Thus, we get:
[tex]g(x) = f(x-2) \\g(x) = (x-2)^2 + 6(x-2) + 3 \\g(x) = x^2 -4x + 4 + 6x - 12+3\\ g(x) = x^2 + 2x -5[/tex]
Converting g(x) to vertex form:
[tex]g(x) = x^2 + 2x - 5\\g(x) = x^2 + 2x + 1 - 1 -5\\g(x) = (x+1)^2 -9\\g(x) = (x - (-1) )^2 -6\\g(x) = (x-(-1))^2 + (-6)[/tex]
Comparing this with [tex]a(x-h)^2 + k[/tex], we get (h,k) = (-1,-6) as the coordinate of the vertex of the graph of g(x), as shown below.
Thus, the vertex of the considered function g(x) = f(x − 2) is given by: Option c: (-1,-6)
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