Answer:
x = 12
Step-by-step explanation:
Given a tangent and a secant from an external point to the circle.
Then the product of the external part of the secant and the entire secant is equal to the square of the measure of the tangent, that is
3x = 6² = 36 ( divide both sides by 3 )
x = 12
28 people in 4 rooms: 63 people in 9 rooms. Are these ratios proportional?
the ratios are ratio proportional
Sylvie needs $110 for a concert ticket. She already has $16 and she can earn the rest by working 10 hours at her job. If h represents her hourly earnings, which of the following equations can be solved to find Sylvie’s hourly earnings? Select all that apply
A 110 - 16 = 10h
B 110 = 16h + 10
C 16 = 110 - h
D 110 = 16 + 10h
E 110 + 16 = 10h
Answer:
Option A and D
Hope this helps!
Answer:
D
Step-by-step explanation:
16 +10h = 110 is the equation because it uses 10h to represent the hourly wages and you need $110. Therefore, with the starting $16, if you use the hourly $10 rate you can come to your answer using the equation.
After eating at a restaurant, Mr. Jackson's bill before tax is $52.50. The sales tax rate is 8%. Mr. Jackson decides to leave a 20% tip for the waiter. How much will the total bill be, including tax and tip?
Answer:
$67.2
Step-by-step explanation:
8% of $52.50
52.5 × 8/100 = $4.2
20% of $52.50
52.5 × 20/100 = $10.5
total
$52.5 + $4.2 + $10.5 =$67.2
In a triangle the ratio of angles is 2:3:4 find the angles
Answer:
40,60,80
Step-by-step explanation:
2x+3x×4x=180
9x=180
x=20
2x=40
3x=60
4x=80
If I could have help with this that would be great :) i’ve been working on it for about an hour.
A salt water solution is cooled to -3C. During an experiment , the mixture is heated so that its, temperature rises at steady rate. Write an equation to represent the temperature ,y, after x minutes
Answer:
[tex]y = -3+ rx[/tex]
Step-by-step explanation:
Given
[tex]Base = -3C[/tex]
[tex]Time = x[/tex]
Required
Determine the equation (y)
Let the steady rate be represented with r.
So, the equation (y) can be determined using:
[tex]y = Base + Rate * Time[/tex]
[tex]y = -3+ r* x[/tex]
[tex]y = -3+ rx[/tex]
pls help! right answer = gets brainiest! :))
Answer:
3
Step-by-step explanation:
The answer is Option One
6. A bag contains 240 counters.
Huan removes 15% of the counters.
Esther removes 54 counters.
What is the percentage change in the number of
counters in the bag?
Answer:
48
Step-by-step explanation:
someone help me please.
Find the measure of angle a.
Answer:
a = 127°
Step-by-step explanation:
The 3 angles lie on a straight line and have a sum of 180°, that is
15° + a + 38° = 180°
53° + a = 180° ( subtract 53° from both sides )
a = 127°
Two straight lines are shown.
Answer:
(3,20)
Step-by-step explanation:
so O must be 0,0 and A is a midpoint of OB
This means B must be (14,12)
B is the midpoint of TS.
This means that the distance of SB is equal to the distance of BT.
This must mean that the coordinate of T must be (3,20)
O: (0,0) x coordinate increases by 7. y coordinate increases by 6.
A: (7,6)
B: (14,12)
S: (25,4) x coordinate decrease by 11. y coordinate increases by 8.
B: (14,12)
T: (3,20)
The coordinates of T are (3, 20).
What is Straight Line?A straight line is an endless one-dimensional figure that has no width.
From the figure, A is the midpoint of OB and B is the midpoint of TS
The coordinates of O are (0, 0) and Coordinates of A are (7,6)
We can find coordinate of B.
(7, 6)=(0+x/2, 0+y/2)
(7,6)=(x/2, y/2)
x/2=7 and y/2=6
x=14 y=12
So the coordinates of B are (14, 12)
Now we can find the coordinates of T.
(14, 12)=(X+25/2, Y+4/2)
X+25=28
x=3
Y+4=24
Y=20
So the coordinates of T are (3, 20)
Hence, the coordinates of T are (3, 20).
To learn more on Straight lines click:
https://brainly.in/question/5952912
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A river 3m deep and 40 m wide is flowing at the rate 2km /h . how much water will fall into the sea in a minute.
Answer:
Area of river = depth × width
=3×40
[tex] = 120 {m}^{2} [/tex]
amount of water that falls into the sea ⇒
Area of river × flow rate
[tex]120 {m}^{2} \times 2 \: \frac{km}{hr} [/tex]
[tex]120 \times \frac{2 \times 1000 {m}^{2} }{(60)min} [/tex]
[tex]4000 \: \frac{ {m}^{3} }{min} [/tex]
:. [tex] {4000m}^{3} [/tex] of water falls into the sea per min.
So, [tex] {4000m}^{3} [/tex]
= 4000 × 1000 litres
= 4000000 litres
So, in 1 minute, water will fall into the sea is 4000000 litres.
Step-by-step explanation:
Hope it is helpful....
Josh is going to choose a 2-digit number. What is the probability that the sum of the digits in his number will be 9? (there are 90 two digit numbers in total)
answer,,
18
27
36
45
54
63
72
81
hope my ans helps
please give brainliest to my answer
be sure to follow me
stay safe
Please someone help me with this... and please thouroughly explain, i have no clue what to do.
144. Use the formula for the volume of a cone, since the answer is in terms of pi disregard the pi in the formula and solve using (r^2)(h/3) which will give you the answer in terms of pi.
Ms. Eckman will roll a single number cube. What is the probability that she will roll an even number?
Answer:
50 percent
Step-by-step explanation:
Translate algebraic expression into a word phrase: 2 ( 5 + t )
Answer:
two times the sum of a number and 5
Step-by-step explanation:
Write an equation in slope-intercept form: (1,6) and (2,3) are on the line
Step-by-step explanation:
eqn of line : y = mx+ c
m = slope or gradient
c = y-intercept.
Lets take (1,6) = (x1,y1) and (2,3) = (x2,y2)
[tex]m \: = \frac{y1 - y2}{x1 - x2} \\ = \frac{6 - 3}{1 - 2} \\ = \frac{3}{ - 1} \\ = - 3[/tex]
Substitute x = 1 and y = 6 into equation,
[tex]6 = ( - 3)(1) + c \\ 6 = - 3 + c \\ c = 6 + 3 \\ = 9[/tex]
Therefore substituting m and c value, equation of line is
[tex]y = - 3x + 9[/tex]
Find the missing side round your answer to the nearest tenth
Answer:
x ≈ 14.7
Step-by-step explanation:
Assuming the triangle is right then use Pythagoras' identity.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 15² = 21²
x² + 225 = 441 ( subtract 225 from both sides )
x² = 216 ( take the square root of both sides )
x = [tex]\sqrt{216}[/tex] ≈ 14.7 ( to the nearest tenth )
If sally invests $400 into the Bank of Reyonds that offers her a 6% interest, compounded monthly, how much money will she have in the bank in 5 years?
Given:
Principal = $400
Rate of interest = 6% compounded monthly
Time = 5 years.
To find:
The amount in the bank after 5 years.
Solution:
The formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest, n is the number of time interest compounded in an year and t is the number of year.
Interest compounded monthly. So, [tex]n=12[/tex].
Putting [tex]P=400, r=0.06, n=12[/tex] and [tex]t=5[/tex], we get
[tex]A=400\left(1+\dfrac{0.06}{12}\right)^{12(5)}[/tex]
[tex]A=400\left(1+0.005 \right)^{60}[/tex]
[tex]A=400\left(1.005 \right)^{60}[/tex]
[tex]A\approx 539.54[/tex]
Therefore, the amount of money in the bank after 5 years is $539.54.
Can some one plz help me
Answer:
A is the answer
Step-by-step explanation:
6 times 3.14 is 18.84
Given,
Diameter of circle = 6 in.
As we know that radius is half of diameter.
Radius = 6 × 1/2 = 3 inches
Now,
[tex] \sf Circumference \: of \: circle = 2 \pi \: r[/tex]
[tex] = \: 2 \times \dfrac{22}{7} \times 3[/tex]
[tex] = \dfrac{44}{7} \times 3[/tex]
[tex] = \dfrac{132}{7} [/tex]
[tex] = 18.84\: in.[/tex]
Hence,option ( a ) is correct.
You place two wooden support beams under a shelf, as shown. Find the value of x. (3x-13 ) (x- 3) x=
Answer:
x = 49Step-by-step explanation:
Fins the similar diagram attached;
The sum of the angles is 180 degree since they lie on the same straight line. Hence;
3x - 13 + x - 3 = 180
Collect the like terms;
3x+x -13 - 3 = 180
4x - 16 = 180
4x = 180 + 16
4x = 196
x = 196/4
x = 49
Hence the value of x is 49
Note that the values in question is different from that of diagram but the diagram is similar to what we need
pls hurry will give brainlyest or whatever !!!
Which coordinate rule matches this description? Dilation of original by 5.
(5x, y)
(x+5, y+5)
(5x, 5y)
(x, 5y)
Answer:
D (x,5y)
Step-by-step explanation:
SOLVE: 3/4 x 4/5 = *
3
4
×
4
5
=
3
5
Result in decimals: 0.6
Calculation steps:
3
4
×
4
5
=
3 × 4
4 × 5
=
12
20
=
12 ÷ 4
20 ÷ 4
=
3
5
A rectangular prism has a length of 2 1/2 meters, a width of a moters, and a height of 2 1/4 meters,
What is the volume of the prism?
Enter your answer in the box as a simplified mixed number or a decimal,ima abt to get my a.s whooped so please help
Answer:
53
Step-by-step explanation:
Answer:
answer is 22 1/2 or in decimal form it would be 22.5
Step-by-step explanation:
please helps
Which function represents this sequence?
A.
f(n) = 4 ∙ 2n-1
B.
f(n) = 4n-1
C.
f(n) = 2 ∙ 4n-1
D.
f(n) = 2n-1
Answer: A. f(n) = 4 ∙ 2n-1
Step-by-step explanation:
because the 1st term is 4 according to your image, and then you will have to multiply that by its common difference and using your table, to get from 4 to 8 then 8 to 16 you would multiply by 2, and you would finally multiply that by n or known as the number of terms and 1 making the equation. f(n) = 4 ∙ 2n-1 I hope this is very helpful for everyone.
Alan invests a total of $16,500 in three different ways. He invests one part in a mutual fund which in the first year has a return of 11%. He invests the second part in a government bond at 7% per year. The third part he puts in the bank at 5% per year. He invests twice as much in the mutual fund as in the bank. The first year Alan's investments bring a total return of $1,425. How much did he invest in each way?
Answer:
>> $9000 invested in mutual fund
>> $3000 invested in government bond
>> $4500 put in the bank
Step-by-step explanation:
Let us denote the money invested in each case by a letter. Thus;
a = the money that he invested in a mutual fund
b = the money that he invested in a government bond
c = the money that he put in the bank
We are told that he invested a total of $16,500. Thus;
a + b + c = 16500 - - - (eq 1)
He invested twice as much in the mutual fund as he did in the bank. Thus;
a = 2c - - - (eq 2)
From the percentage given and the return of $1,425 from the first year investments, we have;
0.11a + 0.07b + 0.05c = 1425 - - - (eq 3)
Let's put 2c for a in eq (1) and eq (3)
Thus;
2c + b + c = 16500
b + 3c = 16500 - - - (eq 4)
Also,
0.11(2c) + 0.07b + 0.05c = 1425
0.07b + 0.27c = 1425 - - - (eq 5)
From eq 4, b = 16500 - 3c
Putting this in eq(5) gives;
0.07(16500 - 3c) + 0.27c = 1425
1155 - 0.21c + 0.27c = 1425
0.06c = 1425 - 1155
0.06c = 270
c = 270/0.06
c = $4500
b = 16500 - 3(4500)
b = 16500 - 13500
b = $3000
Since a = 2c, then;
a = 2(4500)
a = $9000
24 college students were hired as ushers for a concert. This is 30% of the students who applied for the job. How many college students applied to be ushers
Answer:
80 students applied
Explanation:
24 ÷ 30 × 100
= 0.8 × 100
= 80
i hope this helps! :D do comment if you need any clarification.
Answer:
80 students
Step-by-step explanation:
if 30%=24
100%=?
100%/30%*24
=80
can I add a photo here because I don't know how to ask a question in math
Answer:
you add a photo by pressing the link button at the bottom and choosing which picture you want
solve for x in a triangle. Round your answer to the nearest hundredth
Escribe and correct the error in finding the simple interest earned on $500 at 6% for 18 months. I=500(0.06)(18) I = 540
Answer: 45$
Step-by-step explanation:
Given
Principal [tex]P=\$500[/tex]
Rate [tex]R=6\%[/tex]
time [tex]t=18\ \text{months or}\ 1.5\ \text{years}[/tex]
Simple interest is given by
[tex]\Rightarrow S.I.=\dfrac{P\times R\times T}{100}[/tex]
In the question, time is taken in months which is incorrect
Putting values
[tex]\Rightarrow S.I.=\dfrac{500\times 6\times 1.5}{100}=45\$[/tex]