Answer:
1st ? -> -6x
2nd ? -> 4x
3rd ? from left -> 4x
4th ? -> 24
5th ? -> 6
V Find the value of x in the triangle. 55° 629 c. 63
Answer:
Be clear with your question please
(a) The diagram shows a circle, centre 0. AB and CD are chord.
Given that OM = 8 cm, NT = 3 cm, AB = 30 cm.
(1) Calculate the radius
(2) Calculate the length of CD
Answer:
1) Radius = 17 cm
2). CD = 19.3 cm
Step-by-step explanation:
1). O is the center of the given circle.
By joining the center and point A located at the circumference of the circle,
OA = radius of the circle.
Length of chord AB = 30 cm
"Line from the center of a circle to the chord inside the circle is a perpendicular bisector of the chord"
By the given property, OM equally divides the chord AB.
AM = MB
AM = [tex]\frac{1}{2}(AB)[/tex]
AM = [tex]\frac{10}{2}[/tex] = 5 cm
By applying Pythagoras theorem in ΔOAM,
AO² = OM² + AM²
AO² = 8² + 15²
AO = √289
AO = 17 cm
Therefore, radius of the circle = 17 cm
2). Since, OT, OC and OA are the radii of the given circle,
OT = OC = OA = 17 cm
ON = OT - NT
= 17 - 3
= 14 cm
By applying Pythagoras theorem in ΔOCM,
OC² = ON² + CN²
17² = 14² + CN²
CN = [tex]\sqrt{(17^2-14^2)}[/tex]
= [tex]\sqrt{93}[/tex]
= 9.64 cm
Since, CD = 2(CN)
CD = 2 × 9.64
= 19.29 cm
≈ 19.3 cm
x
X
You put $1200 into an investment yielding 11%
annual interest; you left the money in for two
years. How much interest do you get at the end
of those two years?
Answer:
$1864
Step-by-step explanation:
11% of 1200=132
132×2(years)=264
1200+264=1864
help with #14 plz help
Answer:
H. 2.5
Step-by-step explanation:
we know that ∆ABC similar to ∆ DEF
so , DE= 2.5
:-))
Someone help me with this ASAP
Answer:
140
Step-by-step explanation:
The two non supplementary angles not supplementary to x = the sum of those two angles. So the sum = 57 + 83 = 140
x = 140
Use the discriminant to determine the number and type of solutions for the equation x^2+49=14x
(A). This equation has 1 real solution and one imaginary solution because the discriminant is negative.
(B). This equation has 2 imaginary solutions because the discriminant is negative.
(C). This equation has 2 real solutions because the discriminant is positive.
(D). This equation has 1 real solution because the discriminant is 0.
Answer:
d is the answer
Step-by-step explanation:
Calvin takes piano lessons at a community music school located 3.7 miles directly north of the sports complex. What is the length of a straight line between Calvin's house and the music school? Round to the nearest tenth.
Answer:
The answer is below
Step-by-step explanation:
Calvin school is 2.3 miles directly south of his house. After school, he takes a bus 1.8 miles west of his school to the sport complex.
a) What is the length of a straight line between calvins house and the sports complex? Round to the nearest tenth.
b) Calvin takes piano lessons at a community music school located 3.7 miles directly north of the sports complex. What is the length of a straight line between Calvin's house and the music school? Round to the nearest tenth.
Solution:
a) Calvin school, his house and the sport complex form a right angled triangle. The hypotenuse of the right angled triangle is the length of the line between Calvin's house and the sport complex. Let the length of the line between Calvin's house and the sport complex be x.
Using Pythagoras law for right angled triangle, we get that:
x² = 2.3² + 1.8²
x² = 8.53
x = √8.53
x = 2.9 miles to the nearest tenth
b) This forms a right angled triangle with the hypotenuse = length of a straight line between Calvin's house and the music school. one side of the triangle = 1.8 miles and the other side = 3.7 - 2.3 = 1.4 miles.
Let x = length of a straight line between Calvin's house and the music school. Hence:
x² = 1.8² + 1.4²
x² = 5.2
x = √5.2
x = 2.3 miles to the nearest tenth
Determine whether the relation is a function Explain.
Helpp
Answer:
8. Not a function, the first three are of the same pattern but not the last two
9. Not a function, each input should have only 1 output or two inputs could have one output.
Shelly kelso's gross pay this month is $6,223. Her earnings to date for this year are $23,631. How much does her employer deduct from her paycheck this month for (a) social security and (b) medicare? 1. A. Find the social security amount
Answer:
Social Security = $385.83
Medicare = $90.23
Step-by-step explanation:
Social security rate in 2021 is 6.2% on your first $142,800 for the year. Shelly has not reached that threshold so her Social security tax is:
= 6.2% * 6,223
= $385.83
Medicare has no threshold and the rate in 2021 is 1.45%:
= 1.45% * 6,223
= $90.23
f(x) = 4x + 3 for f(-8).
Answer:
-29
Step-by-step explanation:
plz brainliestt
Answer:
-29
Step-by-step explanation:
f(x) = 4x + 3
f(-8) = 4(-8) + 3
f(-8) = -32 + 3
f(-8) = -29
7(2x+3)=3(4x+6)+2x+3
Answer:
[tex]7(2x + 3) = 3(4x + 6) + 2x + 3 \\ 14x + 21 = 12x + 18 + 2x + 3 \\ 14x - 14x = 21 - 21 \\ 0 = 0[/tex]
One solution to a quadratic equation is x = -2i
What is the other solution?
I believe it would be x=2i
:)
URGENT PLEASE HELP!
Explain the steps you would take to graph 2x-3y>15.
Answer:
y>5−2x/3
Step-by-step explanation:
helpp me i need to get a 67 as my grade because i dont understand
Answer:
6.5 minutes
Step-by-step explanation:
Divide T (total number of minutes) by M (total number of miles)
Answer:
6.5Step-by-step explanation:
10 miles/65 minutes
65 minutes/10 miles
you need to find minutes per mile
Divide (Total number of Minutes) by (Total number of miles)
65/10=6.5
Carmen is buying a fitness tracker that costs $129.95. She has a coupon for 20%. After the coupon is used, 7% tax will be charged. What is the final cost of the fitness tracker with tax?
9514 1404 393
Answer:
$111.24
Step-by-step explanation:
The use of a 20% off coupon causes the price to be multiplied by (1 -20%) = 0.80. The addition of 7% tax causes the discounted price to be multiplied by (1 +7%) = 1.07. Multiplying the price by these two factors gives ...
$129.95 × 0.80 × 1.07 = $111.24
The final cost with tax is $111.24.
Which expression is the same as (2a + b)3?
A. 893 +63
B. 8a3 + 4a2b + 2ab2 + b3
O C. 8a + 4a²b + 4ab2 + b3
O D. 8a+ 12a²b + 6ab2 + b3
PLSSS HURRY
Answer:
B 8a3+4a2b+2ab2+b3
Step-by-step explanation:
2PM 6is the
7. Find the circumference of a circle whose diameter is 3.2 meters. Round to the nearest tenth.
A. 32.2 m
B. 8.0 m
C. 10.0 m
D. 5.0 m
Answer:
C. 10.0 m
Step-by-step explanation:
[tex]C=2\pi r[/tex]
radius is half of diameter
[tex]r = \frac{d}{2} \\r=\frac{3.2}{2} \\[/tex]
[tex]C= 2 (3.14) \frac{3.2}{2}[/tex]
[tex]C= (3.14)3.2\\C=10[/tex]
50 points please lmk how to do this
Answer:
ZD= OY= 42
DO= ZY= 25
YV= VD= 60/2= 30
ZV= OV= 18
Step-by-step explanation:
Parallelogram is same as rectangle so opposite side will be same, just like rectangle. and for diagnoal, V bisect both diagnoal so, ZV=VO and YV=VD
Hope this helps!!
are you a robot cause i think you are
9 + 2n = n solve for n
Evaluate the expression.
(-5)(5) +5=
Answer:
Step-by-step explanation:
Here you go mate
Step 1
(-5)(5) +5 Equation
Step 2
(-5)(5) +5 Simplify
(-5)(5) +5
Step 3
(-5)(5) +5 Add and multiply them
(-25)+5
answer
-20
Jan 15, 8:40:40 AM
Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
-6x + 5y = 7
30x – 25y = -35
One Solution
Infinitely Many Solutions
Submit Answer
O No Solutions
The principal would like to assemble a committee of 8 students from the 20-member student council. How many different committees can be chosen?
Answer:
2
Step-by-step explanation:
If you subtract 8from20 there's 11 memeber student councilors left which then you subtract another 8from the remaining 11 students and there would be 3 student councilors left which means
there can only be 2.5 different committees because you can't subtract 3 from 8
Answer:
125790 different committees can be chosen.
Step-by-step explanation:
The principal would like to assemble a committee of 8 students from the 20-member student council.
We need to find How many different committees can be chosen?
Since the order is not important, so we use Combinations to solve the question.
The formula used is: [tex]^nC_r=\frac{n!}{(n-r)!r!} \\[/tex]
In the question given: we have n = 20 and r = 8
Putting values and finding the number of ways committees can be chosen:
[tex]^nC_r=\frac{n!}{(n-r)!r!} \\\\^{20}C_8=\frac{20!}{(20-8)!8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13*12!}{12!8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13}{8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13}{8*7*6*5*4*3*2*1} \\^{20}C_8=\frac{5079110400}{40320}\\^{20}C_8=125970[/tex]
So, 125790 different committees can be chosen.
What is the slope of each line? Line A: y = negative 5 x minus 2 Line B: y = 2 x + 3
A 13 sided figure has how many
total degrees in its interior angles?
9514 1404 393
Answer:
1980°
Step-by-step explanation:
The formula for the sum of interior angles of an n-gon is ...
angle sum = 180°(n -2)
For n=13, the angle sum is ...
angle sum = 180°(13 -2) = 180°×11
angle sum = 1980°
Point (21,28) is dilated by a scale factor of (-1/7) with a center of dilation on the origin. What are the new coordinates
Step-by-step explanation:
Original x-value = 21
New x-value = 21 * (-1/7) = -3.
Original y-value = 28
New y-value = 28 * (-1/7) = -4.
Hence the coordinates of the new point is (-3,-4).
Answer:
Original value of x-axis =21
New value of x-axis = 21×(-1/7) = -3
Original value of y-axis =28
New value of y-axis = 28×(-1/7) = -4
Hence, the new coordinate is (-3,-4).
What is X
2(x−3)=8(x−6)
100 Points
Hey there!
The answer to your question is x = 7
We can solve this by simplifying both sides of the equation:
2x - 6 = 8x - 48
Then, add 48 to both sides:
2x + 42 = 8x
Then, subtract 2x from both sides:
42 = 6x
Lastly, divide both sides by 6:
7 = x
Hope it helps! Have a great day, and good luck on your assignment!
A cheetah can run 60 miles per hour. A lion can
run 25 miles in half an hour. Which animal is
faster, and by how much?
A. The cheetah is faster by 10 miles per
hour.
B. The lion is faster by 10 miles per hour.
C. The cheetah is faster by 35 miles per
hour.
D. The lion is faster by 35 miles per hour.
Answer:
Step-by-step explanation:
cheetah runs 60 miles/hour
lion runs 50 miles/hour
answer A
Answer:
A. the cheetah is faster by 10 miles
Step-by-step explanation:
If you add the other half hour a lion can run (25 miles) 25+25=50, 60 is greater than 50 by 10.
Please help me i struggle lots on this topic
Answer:
slope = 0
Step-by-step explanation:
remember slope is just rise (change in y) over run (change in x) and since there's no change it has a zero slope, which applies to any horizontal line parallel to the x axis
(this is just me trying to explain slopes, separate from the question you put) if the right most point was 1 higher (5,7) instead of (5,6) then the slope would be 1/2 because to get from (5,7) to (3,6) you move up 1 and over 2
The polynomial 5x — 4x² + 3 — 2x³ is in standard form.
True or False.
Answer:
False.Answer = -2x³ - 4x² +5x +3MARK ME AS A BRAINLIST AND FOLLOW ME