Answer:
The semi annual compound interest of a sum of money in 1 year and 2 years are Rs. 2100 and Rs. 4641 respectively, find the rate of interest and the sum.
Question 2
Which function is equivalent to f(x) = -5(x + 4)2 + 8?
F(x)=-5x2-40x-32
F(x)=-5x2+8x+88
F(x)=-5x2-40-72
F(x)=-5x2+8x+24
( the 2 is squared)
Step-by-step explanation:
-5(x + 4)² + 8 = -5(x² + 8x + 16) + 8 =
= -5x² - 40x - 80 + 8 = -5x² - 40x - 72
so, the third answer option must be correct, but you made a mistake there and forgot the "x" as factor of -40.
Write the fraction as a decimal. (3 points) five tenths a 0.5 b 0.05 c 5.0 d 1.5
picture explains
asdasdasd
Answer:
Yes, AB is tangentStep-by-step explanation:
The tangent is perpendicular to the radius. The given triangle is right if AB is tangent.
Use Pythagorean to verify
20² = 16² + 12²400 = 256 + 144400 = 400Confirmed
Answer:
AB is tangent to the circle
Step-by-step explanation:
The tangent of a circle is always perpendicular (at a right angle) to the radius. Therefore, if AB is the tangent to the circle, the angle between the radius and AB will be 90° (and ΔBAO will be a right triangle).
Pythagoras Theorem
[tex]a^2+b^2=c^2[/tex]
where:
a and b are the legs of the right trianglec is the hypotenuse (longest side) of the right triangleGiven:
a = 12b = 16c = 20Substitute the given values into the formula:
[tex]\implies 12^2+16^2=20^2[/tex]
[tex]\implies 144+256=400[/tex]
[tex]\implies 400=400[/tex]
Therefore, as ΔBAO is a right triangle with ∠BAO = 90°, AB is tangent to the circle.
The owner of a food cart sells an average of 60 frozen treats per day during the summer. Which graph best shows the relationship between the number of days and the number of frozen treats sold?
A) A
B) B
C) C
D) D
Answer:
Answer is D
Step-by-step explanation:
Day 1 = 60
Day 2 = 120
Day 3 = 180
Day 4 = 240
Day 5 = 300
Day 6 = 360
Day 7 = 420
Day 8 = 480
The graph D will show the best relationship between the number of days and the number of frozen treats sold.
What is graph?In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.
It is given that he sells 60 frozen treats per day so everyday the frozen treats are multiplied by 60.
We can see the linear relationship between frozen treats and number of days.
Day 1 - 60
Day 2 - 120
Day 3- 180
Day 4- 240
Day 5- 300
Day 6- 360
Day 7- 420
Day 8- 480
Hence the graph D will show the best relationship between the number of days and the number of frozen treats sold.
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Simplify each radical expression. Use absolute value symbols when needed. (13 is the question number)
[tex]\sqrt{\cfrac{9x^4}{36}}\implies \sqrt{\cfrac{3^2 (x^2)^2}{6^2}}\implies \sqrt{\cfrac{(3x^2)^2}{6^2}}\implies \sqrt{\left( \cfrac{3x^2}{6} \right)^2}\implies \cfrac{3x^2}{6}\implies \cfrac{x^2}{2}[/tex]
A customer will choose one card to buy a random. Based on the data in the table, which statement is true? Help!
(1+sint)/(cost)-(cost)/(1-sint)
[tex]\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{\cos(t)}{1-\sin(t)}[/tex]
Multiply through the second term by [tex]1+\sin(t)[/tex] :
[tex]\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{\cos(t)}{1-\sin(t)}\cdot\dfrac{1+\sin(t)}{1+\sin(t)}[/tex]
[tex]\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{\cos(t)(1+\sin(t))}{1-\sin^2(t)}[/tex]
Recall that [tex]\cos^2(x)+\sin^2(x)=1[/tex] for all x :
[tex]\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{\cos(t)(1+\sin(t))}{\cos^2(t)}[/tex]
If [tex]\cos(t)\neq0[/tex], we can cancel a factor of it in the second fraction.
[tex]\dfrac{1+\sin(t)}{\cos(t)} - \dfrac{1+\sin(t)}{\cos(t)}[/tex]
and this simplifies to
[tex]\dfrac{(1+\sin(t))-(1+\sin(t))}{\cos(t)} = \boxed{0}[/tex]
Easy question! First one to answer gets brainliest!
2x + 5 = 21
[tex]2x + 5 = 21[/tex]
Subtract both sides 5
[tex]2x + 5 - 5 = 21 - 5[/tex]
[tex]2x = 16[/tex]
Divide both sides by 2
[tex] \frac{2x}{2} = \frac{16}{2} \\ [/tex]
[tex]x = 8[/tex]
Answer:
8
Step-by-step explanation:
To determine the value of "x", we need to isolate the "x" variable completely. The first step in isolating the variable is to remove the constant on the L.H.S. This can be done by subtracting 5 both sides.
⇒ [tex]2x + 5 = 21[/tex]
⇒ [tex]2x + 5 - 5 = 21 - 5[/tex]
⇒ [tex]2x = 16[/tex]
The last step in isolating the "x" variable is to isolate the cooeficient of x. This can be done by dividing the cooeficient of x both sides.
⇒ [tex]2x = 16[/tex]
[Cooeficient of x is 2]
⇒ [tex]\frac{2x}{2} = \frac{16}{2}[/tex]
⇒ [tex]x = \frac{16}{2} = 8[/tex]
In conclusion, the value of the "x" variable is 8.
Set of common divisors of 50 and 75
Ones in red are common ones
1,5,25
what is 3 × 2/7 in lowest terms
Answer:
6/7
Step-by-step explanation:
3x2/7 in the same as 3/1x2/7, which is 6/7
(simply multiply the denominator and numerator of the fraction)
Answer: hii <3
Exact Form:
6/7
Decimal Form:
0.857142
Step-by-step explanation:
Simplify the expression.
Hopefully this helps you
- Matthew
What is the value of x?
Enter your answer in the box.
Answer:
27
Step-by-step explanation:
These shapes are mathematically similar as line BR and QC are parallel.
To find the scale factor:
First we find the length of BD by adding 26 and 39:
26+39 = 65
So to get from BD to BQ :
We multiply by :
26/65 = 0.4
So to get from RD to CD:
We do
18÷0.4 = 45
Then we subtract 18 from 45 to get x:
45-18 = 27
Therefore the value of x is 27
Five years ago, Julie was 4 feet 7 inches tall. Her sister Carrie was 5 feet 1
tall. Since then, Carrie has grown 2 inches each year. Julie grew 13 inches
during the last 5 years. How much taller than Julie is Carrie now?
The differnce in the height of Carrie and Julie given their rate of growth is 3 inches.
What is the difference in height?Carrie's height = 5 feet 1 inch + (2 x 5)
= 5 feet 1 inch + 10 inches
5 feet 11 inches
Julie's height = 4 feet 7 inches + 13 inches
4 feet 20 inches
Difference in height = 5 feet 11 inches - 4 feet 20 inches
I feet = 12 inches
71 inches - 68 inches
3 inches
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Is FGH ~ JKL? If so, identify the similarity postulate or theorem that applies.
Answer: D
Step-by-step explanation:
There are two pairs of congruent angles.
The two triangles FGH and JKL are similar to each other by Angle-Angle property. Hence, option D is correct.
What is the similarity?If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.
In the given figure we can see that the two triangles FGH and JKL have two angles equal that is ∠f =∠J = 30° and ∠L = ∠H =55°. Two angles are similar then the triangles are similar.
Hence, option D is correct.
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Can someone please tell me the rest of the answers?
Answer:
35 miles per hour.
223 minutes to reach destination.
Step-by-step explanation:
It's counting down by 35
35 miles per hour.
260/35=7.42857142857
7.42857142857*30=222.857142857
Rounding to nearest whole number
223
SonicIsCoool
On Scratch you tube, Inst and much more here to help :)
If m(arc RU) = (16x – 13)° , m(arc SU) = (11x – 24)°, and m∠STU = (3x + 1)°, find m(arc SU).
Answer: 75 degrees
Step-by-step explanation:
What resolution should images for a nature magazine have?
neutral
high
low
This graph plots the number of wins last year and this year for a sample of professional football teams.
Based on the line of best fit, which is the BEST prediction for wins this year for a team that won 4 games last year?
2
4
5
7
Answer:
5 won 4 games last year . This is the best prediction based on the lime fit
Angle θ is in standard position. if sin(θ) = − 1 3 , and π < θ < 3π 2 , find cos(θ).
The value of the angle θ is 160.52° then the value of the cosine will be negative 0.9428.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
Angle θ is in standard position.
If sin(θ) = − 1/3 , and π < θ < 3π/2
Then the angle will be
[tex]\theta = \sin ^{-1}\dfrac{-1}{3}\\\\\theta = -19.47[/tex]
Then add 180 degrees, then we have
[tex]\theta = -19.47 + 180\\\\\theta = 160.52[/tex]
Then the value of the cosine will be
[tex]\cos 160.52^o=-0.9428[/tex]
More about the trigonometry link is given below.
https://brainly.com/question/22698523
Answer:
-2√2/3
Step-by-step explanation:
edge 22
7) There are 260 athletes at a meeting.
How many handshakes were there?
Answer:
130
Step-by-step explanation:
Assuming everyone handshakes at the meeting. There will be 130 handshakes in total.
It takes 2 people to handshake, and thus to find the number of handshakes we need to do 260/2=130
130 total handshakes
Hope this helps ^^
PLS HELP ME I WiLL MARK THE BRAINLIEST
Answer:
look at analysis
Step-by-step explanation:
1. 152
2. 200
3. 10857
4. 123.4
5. 1848
im stuck lol i just need a answer
Answer:
131 here is the answer and your welcome
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.
12, 10, 8,.........
This is______sequence and the _______is equal to _________.
Answer:
Step-by-step explanation:
This is an arithmetic sequence and the common difference = - 2
You might be a little puzzled by the minus sign in front of the two. You can look at the sequence for the answer. It is going down. A plus 2 would make it go up. Minus signs are always a bit tricky and you have to watch out what you do with them. But the rule is simple
a minus common difference produces a sequence that goes down.a plus common difference produces a squence that goes up.You know that this is an arithmetic sequence because the common difference can be found by adding or subtracting a number from the previous term to get to the next term.
A geometrice sequence would use multiplication or division to get from one term to the next.
Work in groups of 4 to find the areas of these regular polygons.
12
14
PLEASE HELP!!
Find the missing side lengths. Round decimals to the nearest tenth.
Answer: 36.2
Step-by-step explanation:
What is the measure of \angle D∠Dangle, D?
Answer:
135⁰
Step-by-step explanation:
As in cyclic quadrilateral sum if opposite angles is equal to 180⁰
Determine the equation of the parabola that opens up, has focus (−2,7), and a focal diameter of 24.
Answer:
[tex] \sf{(x + 2)}^{2} = 24(y -1) [/tex]
Step-by-step explanation:
Given:
focus(h,k)= (−2,7)
Focal Diameter (Latus rectum) = 24
To find:
Equation of parabola= ?
Solution:
Focal Diameter also known as letus rectum is the segment which passes through Focus and intersects the Axis of parabola having end point at the wall of of parabola.
Focal Diameter = 24
[tex]4p = 24 \\ p = \cancel\frac{ 24}{ 4} = 6 \\ \fbox{p = a = 6}[/tex]
Now to find the equation of parabola we need the vertex(h,v).
Vertex is a point on parabola which lies in same axis of symmetry at equidistant from the directrix and Focus and the distance is one fourth of letus rectum.
Now,
[tex] \sf \: (h,v) = (h,k-p) \\ \sf \: (h,v)= (-2,7-6) \\\sf \: \fbox{ (h,v) = (-2,1)}[/tex]
Equation of parabola
[tex]\sf{(x-h)}^{2} = 4a(y - v)[/tex]
Substituting the cordinate of vertex in above equation,
[tex] \sf{(x - (-2)}^{2} = 4 \times ( 6)(y-1 ) \\ \sf{(x + 2)}^{2} = 24(y -1)[/tex]
This is the final answer.
Thanks for joining brainly community!
FUN QUESTIONS OF MATHETICS FOR BOREDISH PEOPLE:
3x3?
4x5?
8x9?
7x3?
Answer: 3x3=9, 4x5=20, 8x9=72, and 7x3=21!
Step-by-step explanation:
Which of the following is the name for a hollow depression in which drainage collects?(1 point) 1.cave 2.sinkhole 3.v-shaped valley 4.canyon
Answer:
sinkhole valley's typically dont collect water where as sink holes are caused by water displacement of soil
I toss a coin more then 60 times and i comes down tails 40% of the time. How many heads did i toss
Answer:
36.
Step-by-step explanation:
100 - 40 = 60% of heads.
60% = 0.60.
60 * 0.60 = 36.
Zack looks at the clock and sees the hands have made a 90° angle. He realizes he has 2 hours before basketball practice starts. Which could be the angle formed by the hands of the clock when practice starts?
The angle formed by the clock is its degree measure
The angle formed by the hands of the clock when practice starts is 30 degrees
How to determine the possible angle?The current angle is given as:
Angle = 90 degrees
The basketball practice starts at:
Practice = 2 hours earlier
An hour in time represents 30 degrees.
So, the angle formed when the practice starts is
Angle = 90 degrees - 2 * 30 degrees
Evaluate
Angle = 30 degrees
Hence, the angle formed by the hands of the clock when practice starts is 30 degrees
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