Answers
Answer:
AC = BC = 5
AB = 5√2
∠A = ∠B = 45
∠A = 90
Step-by-step explanation:
AC = 5 ( Reason : 5 squares are present in between A and C )
Similarly,
BC = 5
By Pythagoras theorem,
(AB)² = (AC)² + (BC)²
= 5² + 5²
= 2 * 5²
(AB)² = 2 * 5²
AB = 5√2
Since, sides AC and BC are equal,
∠A = ∠B = 45
Since, AC is perpendicular to BC,
∠A = 90
Related Questions
M(-5, 2) and N(5, 2) are the endpoints of the segment MN on the coordinate plane. What is the length of ?
A.
5 units
B.
9 units
C.
10 units
D.
12 units
This is for edmentum btw
Answers
Describe the effect the change in scale has on what the graph suggests. a. On graph B, the group of birds seems to have twice as much as the group of mammals. b. The differences between the groups seems much less in Graph A. c. The differences between the groups seems much less in Graph B. d. On graph A, the group of mammals seems to have one-quarter as much as the group of fish. Please select the best answer from the choices provided
Answers
The effect that the change in scale has on what the graph suggests is C. The differences between the groups seems much less in Graph B.
What is a graph?It should be noted that graph simply means a diagram that's used to show the information about a data given.
Here, the effect that the change in scale has on what the graph suggests is that the differences between the groups seems much less in Graph B.
Therefore, the correct option is C.
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plsssss. Quadrilateral IJKL is similar to quadrilateral MNOP. Find the measure of side MN. Figures are not drawn to scale.
Answers
[tex]\\ \rm\Rrightarrow \dfrac{IJ}{IL}=\dfrac{MN}{MP}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{24}{12}=\dfrac{MN}{3.8}[/tex]
[tex]\\ \rm\Rrightarrow 2=\dfrac{MN}{3.8}[/tex]
[tex]\\ \rm\Rrightarrow MN=3.8(2)[/tex]
[tex]\\ \rm\Rrightarrow MN=7.6[/tex]
An awards dinner costs $225 plus $5 for each person making reservations the total bill is $735 how many people attended the dinner
Answers
The number of people attended dinner is 102.
What is an Equation ?An equation is a mathematical statement when two algebraic expressions are equated by an equal sign.
It is given in the question that
An awards dinner costs $225 plus $5 for each person making reservations
the total bill is $735
people attended the dinner = ?
Let x number of people attended the dinner
$225 + $5 * x = $735
5x = 735-225
5x = 510
x = 102
Therefore , 102 people attended the dinner.
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Karen purchased a used vehicle that depreciates under a straight line method the initial value if the car is 4400 and the salvage value is 800 if the car is expected to have a useful life of another six years how much will it depreciate each year?
Answers
Answer:
Karen expects the vehicle to depreciate by 600 each year.
Step-by-step explanation:
Given:
- initial value: 4400
- salvage value: 800
- another six years
It is expected to depreciate from 4400 to 800 in 6 years.
The depreciation per year is the ratio
depreciation per year = (total depreciation) / (number of years)
Total depreciation is the change in value, so the depreciation per year is
(4400 - 800)/6 = 600
pls answer asap, thanks!!
Answers
Since the amount is compounded monthly, the amount would triple after 26 months
Since the money is compounded monthly, we use the compound interest formula
How to calculate compound interestThe amount obtained on compound interest is given by A = P(1 + r)ⁿ where
P = present value, r = interest rate and n = timeNow, since you deposit an amount of $1000 at an interest rate of 3.15 % per year compounded monthly and an extra $75 added monthly after n month, the amount is A = A' the amount compounded monthly + the extra amount monthly A"
Amount compounded monthly
Since A' = P(1 + r)ⁿ where
P = initial amount = $1000, r = interest rate = 3.15 %/12 (since it is compounded monthly) = 0.002625 and n = number of monthsSo, A' = P(1 + r)ⁿ
= 1000(1 + 0.002625)ⁿ
= 1000(1.002625)ⁿ
Extra amount added monthly
Also, since $75 is added monthly, after n months, A" = 75n
Total amount after n months
So, the total amount added is A = A' + A"
= 1000(1.002625)ⁿ + 75n
Time for amount to tripleSince we require the time when the initial amount would triple, so, A = 3A'
= 3 × 1000
= 3000.
So,
A = 1000(1.002625)ⁿ + 75n
3000 = 1000(1.002625)ⁿ + 75n
3000 - 75n = 1000(1.002625)ⁿ
The solution of the above equation is obtained graphically. Find the graph in the attachment. They intersect at (25.736, 1069.797)
So, n = 25.736
≅ 26 months
So, the amount would triple after 26 months
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Kofi brought 6 books and 10 pencils from a store ama brought 3 books and 20 pencils of the same kind from the store if each of them paid $ 17000.00 from the items find the cost of each pencil each book two books and 4 pencils
Answers
Answer:
Answer by josgarithmetic(37226) (Show Source): You can put this solution on YOUR website!
system%2810b%2B6p=17000%2C3b%2B20p=17000%29
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let +a+ = the cost of 1 pencil
Let +b+ = the cost of 1 book
---------------------------
(1) +6b+%2B+10a+=+17000+
(2) +3b+%2B+22a+=+17000+
----------------------
Multiply both sides of (2) by +2+
and subtract (1) from (2)
(2) +6b+%2B+44a+=+34000+
(1) +-6b+-+10a+=+-17000+
-------------------------
+34a+=+17000+
+a+=+500+
and
(1) +6b+%2B+10a+=+17000+
(1) +3b+%2B+5a+=+8500+
(1) +3b+%2B+5%2A500+=+8500+
(1) +3b+=+8500+-+2500+
(1) +3b+=+6000+
(1) +b+=+2000+
------------------
Step-by-step explanation:
IT,LL
HELP
PLEASE HELP ILL LIKE AND ITS WORTH 20 points !!
Answers
Answer:
EG=
[tex] \frac{28 }{ \sqrt{3} } [/tex]
EF=
[tex] \frac{56}{ \sqrt{3} } [/tex]
Step-by-step explanation:
You have to memories Trigonometric ratios of 60
The table below shows the value of Henry's car at the end for each of the first 3 years after it is purchased. The values form a geometric
sequence.
Year
Value
dollars)
18000
116200
14580
(in
What will be the approximate value of the car at the end of the 10th year?
O
A. $6,974
B. $8,610
C. $11,810
D. $7,748
Answers
Using a geometric sequence, it is found that the approximate value of the car at the end of the 10th year will be given by:
A. $6,974.
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
In this problem, the first term and the common ratio are given, respectively, by:
[tex]a_1 = 18000, q = \frac{16200}{18000} = 0.9[/tex]
Hence the equation is:
[tex]a_n = 18000(0.9)^{n-1}[/tex]
At the end of the 10th year, the value will be of:
[tex]a_{10} = 18000(0.9)^{10-1} = 6974[/tex]
Hence option A is correct.
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Bob's Gift Shop sold 250 cards for Mother's Day. One salesman, Alang, sold 4% of the cards sold for Mother's Day. How many cards did Alang sell?
Answers
Answer:
10 cards
Step-by-step explanation:
4% of 250 cards
(4/100) x 250 cards
10 cards ✔️
DL is a perpendicular bisector of chord GA. Identify the diameter.
Answers
Write an equation for the line that is parallel to the given line that passes through the given point.
y = -6x + 2; (-1,2)
Answers
Answer:
The correct answer is y = -6x - 4
Step-by-step explanation:
The given equation of the line : y = -6x + 2
Now, the general equation of the line in the slope-intercept form is given by : y = mx + c
Now, comparing the given equation with the general form, We get slope, m = -6
We need to find the equation of the line which is parallel to the given line and since the slope of two parallel lines are equal so the slope of the required line will also be -6
And it passes through the point (-1, 2)
The required equation will be :
⇒ y - 2 = -6 × (x + 1)
⇒ y - 2 = -6x - 6
⇒ y = -6x - 4
Therefore, The required equation is y = -6x -4
Hence, The correct answer is. y = -6x - 4
Brainlist?????
Tyshawn went shopping for a new pair of pants. Sales tax where he lives is 6%. The price of the pair of pants is $49. Find the total price including tax. Round to the nearest cent.
Answers
The total price of new pair of pants including tax will be $ 51.94.
What is the percentage?Everything is stated as if it was a fraction of a hundred in quantity.
Tyshawn went shopping for a new pair of pants.
Sales tax where he lives is 6%.
The price of the pair of pants is $49.
Then the total price of new pair of pants including tax will be
Total cost = 49 x (1 + 0.06)
Total cost = 49 x 1.06
Total cost = $ 51.94
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Please help me with this math problem!! Will give brainliest!! :)
Answers
Answer:
x = 10
Step-by-step explanation:
The sum of the angles of a quadrilateral is 360°
(4x + 23) + (7x - 3) + (6x - 5) + (16x + 15) = 360°
4x + 23 + 7x - 3 + 6x - 5 + 16x + 15 = 360°
Add like terms
33x + 30 = 360°
Subtract 30 from both sides
33x = 330°
x = 10
Answer:
10
Step-by-step explanation:
A quadrilateral is a four sideded figure with four angles and four vertices.we should note that the sum of angles of a quadrilateral is equal 360°
therefore,
(4x+23)+(16x+15)+(6x-5)+(7x-3)=360
30 +33x= 360
33x= 360-30
33x= 330
dividing through by 33
x= 330/33
x= 10
Which of the following can be used to find the sum of the interior angles for
any regular polygon?
A. Multiply the number of sides by 180
B. Add 1 to the number of sides and multiply the sum by 180
OC. Divide the number of sides by 180
OD. Subtract 2 from the number of sides and multiply the difference by
180
Answers
I need this answer quickly please :)
Answers
monkey B
Step-by-step explanation:
f(x) = 16x2 + 32x − 9?
Step-by-step explanation:
c beacuse if you subtract 8 by 2 you get 6 times x
A tub of water is emptied at a rate of 3 gallons per minute. The equation y –12 = –3(x – 1) models the amount of water remaining, where x is time (in minutes) and y is the amount of water left (in gallons). Analyze the work shown below to determine the initial amount of water.
1. Solve for the y-variable.
y – 12 = –3(x – 1)
y – 12 = –3x + 3
y = –3x +15
2. Write the equation using function notation.
f(x) = –3x +15
The tub started with
gallons of water.
Answers
The initial amount of the water is 15 gallons
Linear functionsThese are functions that has a leading degree of 1. Given the equation that represents the amount of water remaining after x minutes;
y - 12 = -3(x- 1)
y -12 = -3x + 3
y = -3x +3 + 12
y = -3x + 15
In order to determine the initial amount of water, we will substitute x =0 into the function
y = -3(0) + 15
y = 15
Hence the initial amount of the water is 15 gallons
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Answer:
15
Step-by-step explanation:
Which of the following is the range in the given set of numbers 10, 30, 15, 17, and 18
Answers
Using it's concept, it is found that the range of the set of numbers 10, 30, 15, 17, and 18 is of 20.
What is the range of a data-set?
The range of a data-set is given by the difference of the greatest value by the smallest.
In the data-set 10, 30, 15, 17, and 18, we have that:
The greatest value is 30.The smallest value is 10.Hence the range is given by:
R = 30 - 10 = 20.
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Which shows the un-simplified solution for x2 + 8x + 6 = 0?
Answers
Answer:
A) [tex]\displaystyle x=\frac{-8\pm\sqrt{40}}{2}[/tex]
Step-by-step explanation:
We know that the discriminant is [tex]b^2-4ac=(8)^2-4(1)(6)=64-24=40[/tex], so it cannot be B or C.
Also, because [tex]2a=2(1)=2[/tex], then the denominator must be 2, which means that A is the correct un-simplified solution for the quadratic equation.
Answer:
Choice A
Step-by-step explanation:
Let's solve to check.
Given:
x^2 + 8x + 6 = 0
Solution:
We know that,
Let us assume that Quadratic Formula = x[tex] \implies \rm \: x = \cfrac{ { - b±} \sqrt{ {b}^{2} - 4(ac)} }{2a} [/tex]
Here, a = 1b = 8c =6So substitute them:
[tex] \implies \rm \: x = \cfrac{ - 8± \sqrt{ {8}^{2} - 4(1 \times 6)} }{2 \times 1} [/tex]
[tex] \implies \rm \: x = \cfrac{ - 8± \sqrt{64 - 4 \times 6 } }{2} [/tex]
[tex] \implies \rm \: x= \cfrac{ - 8 ±\sqrt{64 - 24} }{2} [/tex]
[tex]\boxed{ \implies \rm \: x = \cfrac{ - 8 ±\sqrt{40}}{2}}[/tex]
Hence, choice A[x = {8±√(40)/2}] shows the un-simplified solution for x2 + 8x + 6 = 0.
HELP I can’t figure it out
Answers
Answer:
[tex]\huge\bold\color{pink}{- Magdonal -}[/tex]
[tex]\blue{\rule{50pt}{999999pt}} \purple{\rule{50pt}{999999pt}} \
\green{\rule{27pt}{999999pt}} \blue{\rule{10pt}{999999pt}} \
[/tex]
Determine if the two triangles are congruent. If they are, state how you know
A) ASA
B) AAS
C SAS
D SSS
Answers
A 12 m ladder propped against a wall forms an angle of 60° with the ground. Determine
how far the top of the ladder is from the ground. Include a diagram.
Answers
Answer:
the top of the ladder is approx 8.485 meters off the ground
written explanation included
Step-by-step explanation:
I should probably write this out in one note but bear with me, please.
Assuming the ground and the wall meet at a 90° angle
therefore the angles of the triangle formed are 90°, 30°, and 60°
Write in the form ( x + p ) ^2 + q x^ 2 − 10 x
Answers
Answer:
(x - 5)² - 25
Step-by-step explanation:
using the method of completing the square
x² - 10x
add/subtract ( half the coefficient of the x- term )² to x² - 10x
x² + 2(- 5)x + 25 - 25
= (x - 5)² - 25
Grace buys a set of 14 notebooks. Each notebook has 85 pages. What is the total number of pages for all the notebooks?
Answers
Answer: 1190 pages
Step-by-step explanation:
The word problem states that Grace has a set of 14 notebooks, and each notebook has 85 pages. To find the total number of pages, we want to multiply the number of pages in each book by how many books there are.
14×85=1190 pages
Find the value of
x
y, and
z in the parallelogram below.
Answers
B be the angle of (5y-4) degrees
C be the angle of (x+5) degrees
D be the angle of (9z-7) degrees
According to the property of parallelogram
Opposite angles are equal
We get, angle A = angle C
Since angle A = 79 degrees
And angle C = (x+5) degrees
We get, x+5=79
=> x=79-5=74.
Angle B = Angle D
(5y-4)=(9z-7)
Since there’s two variables here, we can’t use the property of “opposite angles are equivalent”
We have to use another property which is adjacent angles are equal
Therefore, we can find angle D
Angle D + Angle A=180
=> 9z-7 =180-79
z=108/9
z=12
Since (5y-4)=(9z-7)
Substitute z=12 in
We get, 5y-4=101
y= 105/5
y= 21
Therefore, x=74, y=21 and z=12.
the length of a line is y centimetres write down an expressions in terms of y for the length of the line in millimetres
Answers
Answer:
L=10y
Step-by-step explanation:
1cm=10mm
Hence, the length in millimeters will be 10 times the value in cm.
If the factors of quadratic function g are (x − 7) and (x + 3), what are the zeros of function g?
A.
3 and 7
B.
-3 and 7
C.
-7 and -3
D.
-7 and 3
Answers
Answer: B. -3 and 7
Step-by-step explanation:
To find the zeros, just move the constants to the other side,
x - 7 ⇒ x = 7
x + 3 ⇒ x = -3
If the number is moved to the other side its sign becomes opposite
Hope it helps!
How can I solve this math problem.
Answers
Answer:4.6
Step-by-step explanation:
Use the pythagorean theorem, then find the square root using your calculator.
jeanne barrons has decided to buy a new car. it has a base price of
$21,276.00, options totaling $1,219.80 and a destination charge of $590.00.
while surfing the internet, she learned that the dealer's cost is
approximately 83% of the base price and 80% of the price of the options.
what should barrons estimate as the dealer's cost? (section 9-2) *
o a. $19,224.92
b. $17,659.09
c. $17,500.25
d. $19,430.84
Answers
Answer:
a. $19,224.92
Step-by-step explanation:
The dealer's cost will be the sum of the dealer's costs for the base car, its options, and the destination charge.
__
cost for base car = 0.83 × $21,276 = $17,659.08
cost for options = 0.80 × $1,219.80 = $975.84
cost for destination charge = $590.00
The sum of the dealer's costs is ...
$17,659.08 +975.84 +590.00 = $19,224.92
Barrons should estimate the dealer's cost to be $19,224.92.
a company makes these biscuits at a cost of $1.35 per packet. these biscuits are sold for $1.89 per packet. calculate the percentage profit the company makes on each packet
Answers
Answer:
They Make 50 cents profit a pack
Step-by-step explanation:
1.89-1.35