Answer:
A:40%
B:7.8
Step-by-step explanation:
Using a proportion , you can solve for the bottom side.
13/19.5 = 5.2/x
multiply 19.5 and 5.2 and rewrite the equation
101.4=13x
x=7.8
To find the scale, divide 5.2 by 13
5.2/13=0.4
Double check by dividing 7.8 by 19.5
7.8/19.5=0.4
0.4=40%
Write the standard form of the equation of the circles that passes through (0, 3) with its center at (0,0)
Answer:
[tex]x^2+y^2=9[/tex]
Step-by-step explanation:
Equation of a circle (when centred at the origin):
[tex]x^2+y^2=r^2[/tex] where r is the radius of the circle
Plug in the point (0,3) to solve for the radius squared
[tex]0^2+3^2=r^2\\9=r^2[/tex]
Plug r² back into the original equation
[tex]x^2+y^2=9[/tex]
I hope this helps!
Please help me
Neil is going to a bookstore 45 miles away. The bridge was closed on the way back, so
he had to take an alternate route and had to drive 15 mph slower, which make the trip
back take 7 minutes longer. How fast was he going on the way to the bookstore?
Answer:
35 mph
Step-by-step explanation:
As you might have learned in your physics class, the average speed of a car in mph is 50. You should write this down on some paper.
After writing it down, we need to look at what the problem is asking us, so we don't get confused. " How fast was he going on the way to the bookstore?"
This means that we need to calculate his mph speed on the way to the bookstore by subtracting something.
50 mph=Average
Alternate Route= -15
After you have written THAT down in your notes, you need to ask yourself,
"What is 50-15?"
Calculating 50-15 will make the "15 mph slower" show up and calculating that with the average will get you your answer.
50-15 is 35
I have a 30% off Kohl’s coupon!!! I find a pair of jeans for $29. What would my cost be with the 30% off?
Answer:
$20.30 plus tax
Step-by-step explanation:
You multiply 28 x .30 and that is your discount.
Answer:
$20.30
Step-by-step explanation:
Emily is blocking off several rooms in a hotel for guests coming to her wedding. The hotel can reserve small rooms that can hold 2 people, and large rooms that can hold 3 people. Emily booked a total of 15 rooms which can accommodate 36 guests altogether. Graphically solve a system of equations in order to determine the number of small rooms reserved,
Answer: 9.
Step-by-step explanation:
6 large rooms which will add up to 18
9 small rooms which will also add up to 18 totaling the 36 guests.
The no. of small and large rooms in the hotel are 9 and 6 respectively.
What is a linear equation?A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.
Given, Emily is blocking off several rooms in a hotel for guests coming to her wedding.
Let us assume that small rooms be x and large rooms to be y.
Emily booked a total of 15 rooms which is x + y = 15...(i).
which can accommodate 36 guests altogether which is 2x + 3y = 36...(ii)
Now if we multiply eqn(i) by 2 it'll be 2x + 2y = 30...(iii)
Now subtracting eqn(iii) from eqn(ii) we get y = 6.
substituting the value of y in eqn(iii) we get x = 9.
So, the number of small rooms is 9 and no. of large rooms is 6.
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please help me tysm !!
The Colonel spots a campfire at a bearing N 71 ∘ E from his current position. Sarge, who is positioned 235 feet due east of the Colonel reckons the bearing to the fire to be N 45 ∘ W from his current position. Determine the distance from the campfire to each man, rounded to the nearest foot.
Answer:
[tex]X=85.123m[/tex]
[tex]Y=184.88m[/tex]
Step-by-step explanation:
From the question we are told that:
Campfire Bearing from Colonel[tex]x=N 71 \textdegree E[/tex]
Distance b/w Colonel and Sarge [tex]Z=235feet[/tex]
Campfire Bearing from Sarge [tex]y=N 45 \textdegree E[/tex]
Generally the angles x' and y' are solved
[tex]x'=90 \textdegree-71 \textdegree[/tex]
[tex]x'=19 \textdegree[/tex]
[tex]y'=90 \textdegree-45 \textdegree[/tex]
[tex]y'=45 \textdegree[/tex]
Generally the angle z' is solved
Sum of angles of a triangle is 180
Therefore
[tex]z'=180 \textdegree-(19+45) \textdegree[/tex]
[tex]z'=116 \textdegree[/tex]
Generally the sine rule equation for for all distances is mathematically given by
[tex]\frac{Z}{sinz'}=\frac{X}{sinx'}=\frac{Y}{siny}[/tex]
Generally the the distance b/w the Colonel and the campfire X is mathematically given as
[tex]\frac{235}{sin116}=\frac{X}{sinx'}[/tex]
[tex]\frac{235}{sin116}=\frac{X}{sin19}[/tex]
[tex]X=85.123m[/tex]
Generally the the distance b/w Sarge and the campfire X is mathematically given as
[tex]\frac{235}{sin116}=\frac{Y}{siny}[/tex]
[tex]\frac{235}{sin116}=\frac{Y}{sin45}[/tex]
[tex]Y=184.88m[/tex]
I'm stuck with the answer....can someone help me?
Step-by-step explanation:
all the fractions should have the same bottom or denominator
so I multiplied the bottom numbers together which is 140
at the top I multiplied 3 x35, 2x28 and 20x1
added them together and got
181/140
-2 (4d-1)=26 how to solve plz
Answer:
-3 = D
Step-by-step explanation:
A really smart freind of mine says this is the answer.
Jessie has successfully made 35 of her last 50 free throw attempts. Based on this information, what is the BEST calculation of the probability that she will make her next free throw?
Answer:
C. 70%
Step-by-step explanation:
35 / 50 = 70/100 = 70%
So she will be 70% accurate in the next shot.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Question 1
1 pts
What is the value of x in the equation shown below?
2(x + 8) - 4x = 10x + 4
RENA
Answer: 1
Step-by-step explanation:
guys please help me with this question, I’d appreciate it a lot
Answer:
540
Step-by-step explanation:
area of trapezium is b×h
Answer:
540 Sq m
Step-by-step explanation:
Area of parallelogram EFGH
= base * height
= 30 * 18
= 540 Sq m
It is equally probable that the pointer on the spinner shown will land on any one of eight regions, numbered 1 through 8. If the pointer lands on a borderline, spin again. Find the probability that the pointer will stop on an odd number or a number greater than 7
What is the probability
Answer:
5 / 8
Step-by-step explanation:
Total possible outcomes = (1, 2, 3, 4, 5, 6, 7, 8)
Odd outcomes = (1, 3, 5, 7)
Outcomes > 7 = 8
Required outcomes = (1, 3, 5, 7, 8)
Number of required outcomes = 5
P(pointer stops on odd or number > 7) = required outcome / Total possible outcomes
P(pointer stops on odd or number > 7) :
= 5 / 8
please help!!!!!!!!....
Answer:
Area:12.5663706 Circumference: 12.5663706
Step-by-step explanation:
anyone know the answer?
(2-1/2)(3-1/3)(4-1/4)
Answer: 1/4
Step-by-step explanation:
2-1/2 ==> 1/2
3-1/3 ==> 2/3
4-1/4 ==> 3/4
1/2 x 2/3 x 3/4 = 6/24
*Reduce 6/24*
1/4
Could someone please help me...... this is hopeless.....
Answer:
[tex]m=-\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{9-10}{6-4}[/tex]
Someone please help me ! Im behind on school work and Im trying to improve my grades! <3
Given circle B below, find the value of x.
A 27
B 44
C 71
D 142
Answer:
B. 44°
Step-by-step explanation:
Central angle = 3x + 10°
Inscribed angle = 2x - 17°
Now
Central angle = 2 * inscribed angle
( Central angle is double of the inscribed angle standing on same arc)
3x + 10° = 2 ( 2x - 17°)
3x + 10° = 4x - 34°
4x - 3x = 34 ° + 10°
x = 44°
Hope it will help :)❤
Which exponential equation is equivalent to this logarithmic equation?
log x = 4
Answer:
B
Step-by-step explanation:
Use the definition of a logarithm, log b ( x ) = y ⟹ b y = x , to convert from the logarithmic form to the exponential form. 10^ 4 = x
The exponential equation out of the specified options that is equivalent to this logarithmic equation log x = 4 is given by: Option B: 10^4 = x
What is logarithm ?When you raise a number with an exponent, there comes a result.
Lets say you get [tex]a^b = c[/tex]
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
[tex]b = \log_a(c)[/tex]
'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'
Log with base e = 2.71828... is written as [tex]\ln(x)[/tex] simply.
Log with base 10 is written as [tex]\log(x)[/tex] simply.
The given logarithmic equation is;
[tex]\log x = 4[/tex]
Since, log with base 10 is written as [tex]\log(x)[/tex] simply, therefore, we have:
[tex]\log_{10} x = 4[/tex]
Using the definition of logarithm, we get;
[tex]x = 10^4[/tex]
Equivalently, [tex]10^4 = x[/tex] (option B).
Thus, the exponential equation out of the specified options that is equivalent to this logarithmic equation log x = 4 is given by: Option B: 10^4 = x
Learn more about logarithm here:
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Can someone please help me with math.
Answer:
C
Step-by-step explanation:
because d + Q = 19 is just counting the coins, not the monetary value
and .25q + .10d signs values per coin type.
ASAP- Solve the system of equations and choose the correct answer from the list of
options. (4 points)
x - y = 7
y = 3x + 12
01 (3
O2)
2) (3)
03 ()
04 (2)
HELP PLEASE, NO FILES OR LINKS PLEASE
Thomas is going to deposit $840 in an account that earns 7.5% interest compounded annually. His wife Sheril will deposit $1,250 in an account that earns 6.9% simple interest each year. They deposit the money on the same dayand make no additional deposits or withdrawals for the accounts. What statement is true concerning Thomas' and Sheril's account balance after 5 years?
a
Thomas' account will have about $475.32 less than Sheril's account.
b
Sheril's account will have about $475.32 less than Thomas' account.
c
Thomas' account will have about $431.25 less than Sheril's account.
d
Sheril's account will have about $431.25 less than Thomas' account.
Answer:
A
Step-by-step explanation:
I am to determine the future value of Thomas' deposit with annual compounding
The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value
P = Present value
R = interest rate
N = number of years
840 x (1.075)^5 = 1205.93
I am to determine the future value of Sherill's deposit in 5 years using simple interest
The amount that would be in the account = amount deposited + interest earned on deposit
interest earned on deposit can be determined by determining the simple interest
Simple interest = amount deposited x time x interest rate
1250 x 0.069 x 5 = 431.25
Amount that would be in her account after 5 years = 1250 + 431.25 = 1681.25
Sheril's money is higher by - 1681.25 - 1205.93 = 475.32
a cylinder has a height of 40 ft and a radius of 10 ft. can its volume be 10 ft? why or why not?
Answer:
Volume of cylinder = 12,560 feet³
Step-by-step explanation:
Given:
Height of cylinder = 40 ft
Radius of cylinder = 10 ft
Find:
Can its volume be 10 ft ?
Computation:
Volume of cylinder = πr²h
Volume of cylinder = (22/7)(10)²(40)
Volume of cylinder = (3.14)(10)²(40)
Volume of cylinder = (3.14)(100)(40)
Volume of cylinder = 12,560 feet³
Volume of this cylinder never be 10 feet
Question : In the given figure , ∆ APB and ∆ AQC are equilateral triangles. Prove that PC = BQ.
~Thanks in advance ! <3
Answer:
See Below.
Step-by-step explanation:
We are given that ΔAPB and ΔAQC are equilateral triangles.
And we want to prove that PC = BQ.
Since ΔAPB and ΔAQC are equilateral triangles, this means that:
[tex]PA\cong AB\cong BP\text{ and } QA\cong AC\cong CQ[/tex]
Likewise:
[tex]\angle P\cong \angle PAB\cong \angle ABP\cong Q\cong \angle QAC\cong\angle ACQ[/tex]
Since they all measure 60°.
Note that ∠PAC is the addition of the angles ∠PAB and ∠BAC. So:
[tex]m\angle PAC=m\angle PAB+m\angle BAC[/tex]
Likewise:
[tex]m\angle QAB=m\angle QAC+m\angle BAC[/tex]
Since ∠QAC ≅ ∠PAB:
[tex]m\angle PAC=m\angle QAC+m\angle BAC[/tex]
And by substitution:
[tex]m\angle PAC=m\angle QAB[/tex]
Thus:
[tex]\angle PAC\cong \angle QAB[/tex]
Then by SAS Congruence:
[tex]\Delta PAC\cong \Delta BAQ[/tex]
And by CPCTC:
[tex]PC\cong BQ[/tex]
Answer:
Step-by-step explanation:
To prove PC = BQ, we need to prove triangle APC and ABQ are congruent.
AP = AB as they are part of equilateral triangle APB
AC = AQ as they are part of equilateral triangle AQC
Angle PAC = Angle PAB + Angle BAC = 60 + Angle BAC
Angle BAQ = Angle QAC + Angle BAC = 60 + Angle BAC = Angle PAC
By SAS, triangle APC and ABQ are congruent and therefore
PC = BQ
how to solve for x
7/4x - 3 = 2 + 9/2x
Answer:
x = -20/11
Step-by-step explanation:
and how -(11 x)/4 - 5 = 0
1/4 (7 x - 12) = 1/2 (9 x + 4)
hope this helps
Answer:
X = 11/20
Step-by-step explanation:
7/4x-3=2+9/2x
We move all terms to the left:
7/4x-3-(2+9/2x)=0
Domain of the equation: 4x!=0
x!=0/4
x!=0
x∈R
Domain of the equation: 2x)!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
7/4x-(9/2x+2)-3=0
We get rid of parentheses
7/4x-9/2x-2-3=0
We calculate fractions
14x/8x^2+(-36x)/8x^2-2-3=0
We add all the numbers together, and all the variables
14x/8x^2+(-36x)/8x^2-5=0
We multiply all the terms by the denominator
14x+(-36x)-5*8x^2=0
Wy multiply elements
-40x^2+14x+(-36x)=0
We get rid of parentheses
-40x^2+14x-36x=0
We add all the numbers together, and all the variables
-40x^2-22x=0
a = -40; b = -22; c = 0;
Δ = b2-4ac
Δ = -222-4·(-40)·0
Δ = 484
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
x1=−b−Δ√2ax2=−b+Δ√2a
Δ−−√=484−−−√=22
x1=−b−Δ√2a=−(−22)−222∗−40=0−80=0
x2=−b+Δ√2a=−(−22)+222∗−40=44−80=−11/20
Find the measure of XY. Assume that segments that appear to be tangent are tangent. Round your final answer to the nearest tenth, if necessary.
Answer:
Solution given:
7x-29=2x+16[length from the circumference of circle is equal to same point]
7x-2x=16+29
5x=45
x=45/5=9
now.
XY=2×9+16=18+16=34 is your answer
The measure of tangent XY is 34.
What is tangent on a circle?If two tangents are drawn to a circle from an external point, then they are equal in length.
This property is often used in geometry problems to find the length of a tangent segment or to solve for an unknown variable.
We have,
The two tangents in a circle are equal.
So,
2x + 16 = 7x - 29
Solve for x.
2x + 16 = 7x - 29
7x - 2x = 16 + 29
5x = 45
x = 9
Now,
XY
= 2x + 16
= 2 x 9 + 16
= 18 + 16
= 34
Thus,
The measure of XY is 34.
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wright the ratio in simplest form 1/3
Answer:
1/3
Step-by-step explanation:
Beth has to do 20 math problems tonight. She has completed 20%. How many problems has she completed?
Answer:
She has completed 4 problems
Step-by-step explanation:
Take the total number of problems and multiply by the percent completed
20 * 20%
20 * .20
4
She has completed 4 problems
Answer:
4
Step-by-step explanation:
Please help, again. Once again, first come first serve for brainliest.
0.5(r+2.75) = 30.5(r+2.75)=3
Answer:
3.25 and -2.651639344262295...
Step-by-step explanation:
if 0.5(r + 2.75) = 3, then r = 3.25
if 30.5(r + 2.75) = 3, then r = -2.651639344262295...
I would appreciate Brainliest, but no worries.
Answer:
3.25
Step-by-step explanation: