Answers
BC is 14
DC and BC are equal
3y + 5 = 5y - 1
-3y
5 = 2y - 1
+1
6 = 2y
÷2
3 = y
y=3
Substitute y=3 into 5y-1, to find BC
5y-1
5x3 - 1
15 - 1
14
BC is 14
Hope this helps!
Answer:
Step-by-step explanation:
Let corner angle at C=α
tanα=12;BC=x;AC=xsecα
By a standard property of right angled triangles,
(xsecα)2=x(x+2)
simplify
x=BC=2tan2α=8.
The sketch is not proportionately drawn.Also
AB=4,AC=45–√
Related Questions
At a store, Eva bought two shirts and five hats for $154.00. Nicole bought
three same shirts and four same hats for $168.00. What is the price of each
shirt? _____
Answers
2s+5h=154
3s+4h=168
3s+4h=168
-3s -3s
4h=168-3s
\4 /4
h= 42-0.75s
2s+(42-0.75s)=154
1.25s+42=154
-42 -42
1.25s=112
/1.25 /1.25
s=$89.6
x-1/x-1=1 what is x
HELP PLS
Answers
Answer:
x € R
Step-by-step explanation:
In mathematics, every expression
divided by itself is equal to one
For this expression For every value that will be replaced by x will be equal to one
If an astronaut has a mass of 90 kg, and visits Jupiter which has a gravitational field of 25.3 N/kg, how much will he weigh there?
A. 115.3N
B. 64.7 N
C. 3.55 N
D. 2,277 N
Answers
Answer: 2277 Newtons
Step-by-step explanation:
I will show you how to do this the Physics way, so first we must write down our given values.
gravitational field = gravity = 25.3 N/kg
Mass of the astronaut = 90kg
Fun fact: know that if you convert the Newtons to a different unit, Newtons = kg (m/s^2) so we can say that instead of N/kg, we can write it as m/s^2 because if we divide kg(m/s^2) with kg, you’ll end with m/s^2
If you’re in physics, we always work with m/s^2 for every acceleration that exists. So we basically have 25.3 m/s^2 for gravity.
To find the weight, we can use the F=ma formula but rewritten as Weight = mass * gravity
Weight = (90kg)(25.3 m/s^2) = Option D = 2277 Newtons
Kiran walks to school each morning. The values below represent the time, in minutes, it took Kiran to walk to school on five different days.
16, 11, 18, 12, 13
Without calculating, decide if 15 minutes is a good estimate for the mean. Explain why or why not.
Answers
Jimmy is writing a paper for one of his classes. The paper has to be 3,000 words long, and so far he has written 666 words. If he
only has 6 more days to write his paper and wants to write the same number of words each day, then how many words must he write per day to finish the paper?
A. 425
B. 389
C. 2,334
D. 889
Answers
6 days = 2334 words
1 day = 1 * 2334/6 = 389 words
Therefore the answer is B
A right rectangular pyramid is shown below. Which of the following shapes cannot result from a cross section?
Answers
Answer:
The cross section is a trapezoid.
Step-by-step explanation:
Gabrielle angles her pool cue against the edge of her pool table, as shown below. What is the measure of angle a and angle b
Answers
The relationship between angle A and angle B is supplementary angles.
∠A = 2(5) + 40 = 50 degrees
∠B = 5 + 125 = 130 degrees
What are supplementary angles?Supplementary angles are angles that sum up to 180 degrees. The sum of the two angles for a supplementary angles is 180 degrees .
Therefore, the relationship between angle A and angle B is supplementary angles.
Therefore,
∠A + ∠B = 180 degrees
∠A = 2x + 40
∠B = x + 125
2x + 40 + x + 125 = 180
2x + x + 40 + 125 = 180
3x + 165 = 180
3x = 180 - 165
3x = 15
x = 15 / 3
x = 5
Therefore,
∠A = 2(5) + 40 = 50 degrees
∠B = 5 + 125 = 130 degrees
learn more on supplementary angles here: brainly.com/question/16759711
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Wyatt is paying back a loan with a nominal interest rate of 13.62%. If the interest is compounded quarterly, how much greater is Wyatt’s effective interest rate than his nominal interest rate? a. 0.96 percentage points b. 0.40 percentage points c. 0.25 percentage points d. 0.71 percentage points
Answers
Answer:
d. 0.71 percentage points
Step-by-step explanation:
13.62 % is .1362 in decimal
quarterly period compounding makes periodic (quarterly) interes rate
= .1362/4 = .03405 per period
FOUR periods in a year
(1+ .03405)^4 = 1.1433
which means effective interest is .1433 or 14.33 %
14.33 - 13.62 = .7115 percentage points difference
A shop has 31 plant pots.
Some are blue, some are yellow and the rest are red.
There are five more blue pots than yellow pots.
There are four times as many blue pots as there are red pots..
Calculate how many pots there are of each colour.
Answers
Answer:
16 blue, 11 yellow, and 4 red
Step-by-step explanation:
Find the amount accumulated after investing m principal P for t and an internet rate compounded annually P=40500 r=3.8% t=20 k=12
Answers
The amount of money accumulated after investing the given amount of money at the given rate and time period is $85389.
What is an interest in banking?Interest is simply the amount of money a lender or financial institution receives for lending out money or pays for receiving money.
The formula for calculating compound interest is expressed as;
A = P(1 + r/k)^(k*t)
Where A is final amount, P is initial principal balance, r is interest rate, k is number of times interest applied per time period and t is number of time periods elapsed.
Given that;
Initial principal balance P = $40500Interest rate r = 3.8= 3.8/100 = 0.038Time t = 20 yearsNumber of times interest applied per time period = 12 (annually) = 12/12 = 1 Amount accumulated A = ?A = P(1 + r/k)^(k*t)
A = 40500(1 + 0.038/1)¹ˣ²⁰
A = 40500 × (1.038)²⁰
A = 40500 × 2.10837
A = $85389
Therefore, the amount of money accumulated after investing the given amount of money at the given rate and time period is $85389.
Learn more about compound interest here: brainly.com/question/27128740
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Need help for this please
Answers
first, the perimeter of the rectangles is 30*2 = 60 (the 7 is not a part of the overall perimeter so we do not need to add it)
the "perimeter" (circumference) of the 2 semi circles = (22/7)*7 = 22by using the formula C = pi*d (2 semi circles of the same diamter = 1 circle)
now just add the 2 answers
22 + 60
= 82 yards
Edna raises money for charity and donates $123 per week. How much does Edna donate to charity each year? Note: There are
52 weeks in a year.
A. $6,426
B. $6,406
C. $6,396
D. $6,356
Answers
Write the equation of the function that
can be modeled by this table?
Answers
Answer:
y = 3x + 5
Step-by-step explanation:
y = mx + b (slope-intercept form)
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
Slope m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] ) (point-slope form of linear equation)
~~~~~~~~~~~~~~~
what is 750× 2
what is the square root of 90
Answers
Square root of 90 can be written as 3 multiplied by Square root of 10
Use linear regression to find a function that fits the following points. (-2,-1), (3,9).
Answers
Step-by-step explanation:
[tex] \frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1} [/tex]
[tex] \frac{y - ( - 1)}{9 - ( - 1)} = \frac{x - ( - 2)}{3 - ( - 2)} [/tex]
[tex] \frac{y + 1}{ \cancel{10}} = \frac{x + 2}{ \cancel{5} }[/tex]
[tex] \frac{y + 1}{2} = \frac{x + 2}{1} [/tex]
[tex]1.(y + 1) = 2.(x + 2)[/tex]
[tex]y + 1 = 2x + 4[/tex]
[tex]y = 2x + 4 - 1[/tex]
[tex]y = 2x + 3[/tex]
Select the correct answer. Consider the given function. 5, x < -2 3, 2 f(x) = 0, 0≤x≤2 -3, 2 Which graph represents the given function?
help!!
Answers
⇒ open circle at (-2, 5) with a line to the left
⇒ closed circle at (-2, 3) with a line segment to an open circle at (0, 3)
⇒ closed circle at (0, 0) with a line segment to an open circle at (2, 0)
⇒ closed circle at (2, -3) with a line to the right
Rewrite without parentheses and simplify.
(2-5y)²
Answers
Answer:
Your answer is in the Picture.
Step-by-step explanation:
Visit cymath is you want to factor polynomial or simply for you.
Question 11(Multiple Choice Worth 5 points)
(03.06A LC)
Which statement is true for the equation 2x - 2x - 7 = -7?
It has infinitely many solutions.
It has two solutions.
It has one solution.
It has no solution.
Answers
Answer:
A) It has infinitely many solutionsStep-by-step explanation:
Given equation
2x - 2x - 7 = - 7Variables cancel and the equation simplifies as
- 7 = - 70 = 0Since we got both sides equal, it doesn't change with any value of x.
It means the equation has infinitely many solutions.
It has infinite solution
Two buildings are 96 ft apart . The first building is 164ft tall. The second building is 92ft tall. If a string is stretched between the top of the two buildings so that it forms a straight line from the top of one to the top of the other, how long would the string be
Answers
Answer:
120ft
Step-by-step explanation:
5. Find the equation of the line that is perpendicular to the given line and passes through the given point. y = 5x-1; (-1, 1)
Answers
Answer:
y = -0.2x+ 0.8
Step-by-step explanation:
If a line is perpendicular to another line then the slope of the line = the negative reciprocal of the other line
Here Line AB has the equation y = 5x - 1. Here slope = 5
This comes from the fact that if a line has the equation y= mx + c then the slope = m and the y intercept = c
If XY is the line perpendicular to AB then its slope = -1/5. Let the y intercept of XY be c
Then equation of line XY is: y = (-1/5)x + c = -0.2x + c (1)
Since it passes through (-1, 1) ie through x = -1, y=1, substitution these values into the above equation (1), we get
1 = (-0.2)(-1) + c or
1 = 0.2 + c or
c = 0.8
help please What is the simplest form of the expression representing this product?
x+10/x2+7x-18 * 3x2-12x+12/3x+30
Answers
Answer:
x-2
x+9
Step-by-step explanation:
Answer:
[tex]\frac{x-2}{x+9}[/tex]
Step-by-step explanation:
Factorizing Fraction 1
[tex]\frac{x+10}{x^{2}+7x-18 }[/tex][tex]\frac{x+10}{(x+9)(x-2)}[/tex]Factorizing Fraction 2
[tex]\frac{3x^{2} -12x+12}{3x+30}[/tex][tex]\frac{x^{2} -4x+4}{x+10}[/tex][tex]\frac{(x-2)^{2} }{x+10}[/tex]Now, multiply the fractions :
[tex]\frac{x+10}{(x+9)(x-2)}[/tex] × [tex]\frac{(x-2)^{2} }{x+10}[/tex][tex]\frac{x-2}{x+9}[/tex]100 points for this question I beg
Answers
Answer:
22°Step-by-step explanation:
Refer to picture
Added angles a and b as interior angles of same triangle with angle x to make solving simple.
Angle a is same as 42° since both angles intercept same arc AB.
a = 42°Angle b is supplementary with 64° angle as linear pair
b = 180° - 64° = 116°Some of the interior angles of a triangle is 180
x + 42° + 116° = 180°x + 158° = 180°x = 180° - 158°x = 22°P(-3,4), Q(-1,4), R(-2, 1), S(-4, 1)
180° about vertex R what are the coordinates
Answers
The coordinate s (-4, 1) is lying on the 180 degrees of the vertex R.
What is a coordinate system?
A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.
There are four coordinates are given
P(-3,4), Q(-1,4), R(-2, 1), S(-4, 1)
Point S is just lying about 180 degree to the vertex R so the coordinates will be S ( -4,1)
To know more about Coordinate geometry follow
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25 points please help
Answers
Answer:
See below ~
Step-by-step explanation:
The functions which have a range ≥ -1 :
y = |x - 1| + 2y = |x + 2| - 1The first function (according to the attachment) is not part of this because on applying any value for x, it will be either less than or equal to -1.
A company plans to ship 2,000 packages of chocolate. The company randomly selecta
100 packages and finds that five packages have an incorrect weight
Based on this data, how many packages out of 2,000 should be predicted to have an
incorrect weight?
Answers
Answer:
100 packages
Step-by-step explanation:
If 5 packages out of 100 are incorrect , then there's a 1/20 chance that a package has an incorrect weight
Therefore out of 2000
it's
[tex] \frac{1}{20} \times 2000 = 100[/tex]
Hope it helps
Sorry I'm not really good at explaining
What is the square root of 9
Answers
Verification:
= 3 * 3
=> 9
a classmate states that if the radius of a circle is doubled, then its area is doubled. do you agree or disagree? if you disagree, how much larger do you think the area will be?
Answers
Answer:
yes
the area of a circle is πr^2
A=πr^2
which means the area of a circle is dependent on the size of the radius of the circle.
Take for instance, the radius is 3cm and π= 3.142
A = 3.142×(3^2)
A = 28.278cm^2
Another example, if the radius of the circle is increased to 4cm, what will be the area.
A = 3.142×(4^2)
A = 50.272cm^2
PLEASE ANSWER
Given JAM and segment PB such that PB JM, what is the missing justification in the proof that JP/PA = MB/BA
Answers
Answer:
B. AA similarity postulate
type in the correct solutions to match each graph.
Answers
Answer:
congruent and parallel those are two of them i dont know the other 2 sorry
Step-by-step explanation:
To identify the density of a figurine made using an unknown material, the figurine is dropped into a basin filled with water and found to displace 184.8 mL of water. The figurine is then put on a scale and found to be 3.8 pounds in weight. What is the density of the material that this figurine was made from in pounds/inch^3? (Note: 1 mL = 0.0610237 inch^3
Answers
Step-by-step explanation:
here you go hopw it helps you