Answer:
x ≈ 15.66
Step-by-step explanation:
Using the sine ratio in the right triangle
sin50° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{12}{x}[/tex] ( multiply both sides by x )
x × sin50° = 12 ( divide both sides by sin50° )
x = [tex]\frac{12}{sin50}[/tex] ≈ 15.66 ( to the nearest hundredth )
PLEASE HELP! Use the graph to solve the system of equations.
A. (-5,0)
B. (0,5)
C. (0,0)
D. (2,3)
Answer:
D
Step-by-step explanation:
Look for the intersection point of the two graphs
Another way:
You can just substitute each pair in both equations and u will find that d is the correct answer
please help me !!!!!!!
Answer:
(32;29) first thing is to find the gradient of that line and form some extra equation ( bodzatu ili
Which point on the number line represents a drop in temperature of 3 degrees from 0 degrees?
Answer:
Point A
Step-by-step explanation:
The question is asking for a drop in 3 degrees. That means whatever point we start on, we subtract 3 from it. We start on 0, so 0-3=-3. That is point A.
Answer:
A
Step-by-step explanation:
plz help me with this math and also explain
Step-by-step explanation:
[1]SI = $250Rate (R) = 12[tex] \sf \dfrac{1}{2}[/tex] %Time (t) = 4 years[tex]\longrightarrow \tt { SI = \dfrac{PRT}{100} } \\ [/tex]
[tex]\longrightarrow \tt { 250 = \dfrac{P \times 12\cfrac{1}{2} \times 4}{100} } \\ [/tex]
[tex]\longrightarrow \tt { 250 = \dfrac{P \times \cfrac{25}{2} \times 4}{100} } \\ [/tex]
[tex]\longrightarrow \tt { 250 = \dfrac{P \times 25 \times 2}{100} } \\ [/tex]
[tex]\longrightarrow \tt { 250 = \dfrac{P \times 50}{100} } \\ [/tex]
[tex]\longrightarrow \tt { 250 \times 100 = P \times 50} \\ [/tex]
[tex]\longrightarrow \tt { 25000 = P \times 50} \\ [/tex]
[tex]\longrightarrow \tt { \dfrac{25000}{50} = P } \\ [/tex]
[tex]\longrightarrow \underline{\boxed{ \green{ \tt { \$ \; 500 = P }}}} \\ [/tex]
Therefore principal is $500.
__________________[2]2/7 of the balls are red.3/5 of the balls are blue.Rest are yellow.Number of yellow balls = 36Let the total number of balls be x.
→ Red balls + Blue balls + Yellow balls = Total number of balls
[tex]\longrightarrow \tt{ \dfrac{2}{7}x + \dfrac{3}{5}x + 36 = x} \\ [/tex]
[tex]\longrightarrow \tt{ \dfrac{10x + 21x + 1260}{35} = x} \\ [/tex]
[tex]\longrightarrow \tt{ \dfrac{31x + 1260}{35} = x} \\ [/tex]
[tex]\longrightarrow \tt{ 31x + 1260= 35x} \\ [/tex]
[tex]\longrightarrow \tt{ 1260= 35x-31x} \\ [/tex]
[tex]\longrightarrow \tt{ 1260= 4x} \\ [/tex]
[tex]\longrightarrow \tt{ \dfrac{1260 }{4}= x} \\ [/tex]
[tex]\longrightarrow \underline{\boxed{ \tt { 315 = x }}} \\ [/tex]
Total number of balls is 315.
A/Q,
3/5 of the balls are blue.
[tex]\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}x} \\ [/tex]
[tex]\longrightarrow \tt{ Balls_{(Blue)} =\dfrac{3 }{5}(315)} \\ [/tex]
[tex]\longrightarrow \tt{ Balls_{(Blue)} = 3(63)} \\ [/tex]
[tex]\longrightarrow \underline{\boxed{ \green {\tt { Balls_{(Blue)} = 189 }}}} \\ [/tex]
Find the other endpoint of the line segment with the given endpoint and midpoint. I
nearest tenth.
Endpoint (-8, 8) Midpoint (5,-3)
Which set of numbers includes only integers?
a.)Negative 5, negative 3 and one-fourth, 1, one-eighth
b.)Negative 3, negative 2, 2, 3
c.)Negative 6, negative 4, negative 2, negative one-half
d.)One-half, two-thirds, StartFraction 6 Over 7 EndFraction, 0
Answer:
a
Step-by-step explanation:
in integer there will negative ,positive or rational number
which number produces a rational number when added to 0.25
0.65 is the correct one if not up there try 0.45 other possible one
Step-by-step explanation:
A rational number is defined as any number which can be expressed in fractional p/q of two integers, where 'p' is the numerator and 'q' is the denominator. 'q' can never be zero. A rational number can also be expressed as a terminating decimal. So, when 0.25 is added in 0.45 it becomes 0.65 which is rational.
3/x + 4/5 = 11/10
For what value of x is the equation above true?
A) 3
B) 5
C) 7
D) 10
Answer:
The answer is
[tex] \frac{3}{x} = \frac{11}{10} - \frac{4}{5} \\ \frac{3}{x} = \frac{55 - 40}{50} \\ \frac{3}{x} = \frac{15}{50} \\ \frac{3}{x} = \frac{3}{10} \\ x = 10[/tex]
8) A pyramid has a rectangluar base with length 12 km and width of 5 km. If the volume is 200
cubic kilometers, what is the height?
Hi there!
[tex]\large\boxed{h = 10km}[/tex]
We know that the equation for the volume of a pyramid is:
V = 1/3(bh)
We know that:
V = 200 km³
b = 12 × 5 = 60 km²
We can plug these into the equation:
200 = 1/3(60)(h)
Simplify:
200 = 20h
Divide both sides by 20:
200/20 = 20h/20
h = 10 km
if x/y=(3/5)^3÷(6/5)^0'find the value of (x/y)^2
Answer:
729/15625
Step-by-step explanation:
1. Evaluate the power
( (27/125) ÷ 1 )^2
2. divide
( 27/125 )^2
evaluate the power
( 27^2 / 125^2 )
729/15625
Triangle PQR has been dilated to form triangle P'Q'R'. What is the least amount of information needed to determine if the two triangles are similar
Answer:
angles Q and Q' are congruent, angles R and R' are congruent
Step-by-step explanation:
For two triangles to be congruent, we need to show is two of the
1. corresponding angles are congruent,
or,
2. all three pairs of corresponding sides are proportional,
or,
3. two pairs of corresponding sides are proportional AND the included angles are congruent.
And, angles are always congruent when a figure is dilated
Therefore, angles Q and Q' are congruent, angles R and R' are congruent(satisfies the first criterion that at least two corresponding angles are congruent)
This pattern follows the rule add 14. What other features do you observe?
13, 27, 41, 55
All terms are even because even + even = even.
All terms are even because odd + odd = even.
All terms are odd because odd + even = odd.
All terms are even because when you add two numbers together, the sums are always even.
(e) Dhanu plays with his model railway from 06 50 to 11 15. He then rides his bicycle for 3 hours. Find the ratio time playing with model railway : time riding bicycle. Give your answer in its simplest form.
Answer:
53:36
Step-by-step explanation:
53:36
265:180
The ratio of time Dhanu spent playing with model railway to the time riding bicycle is 53 : 35.
What is the ratio of the time spent playing with model railway to the time riding bicycle ?Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).
Time spent playing with the model railway = 4 hours 25 minutes.
Converting the time to minutes = (4 x 60) + 25 = 265 minutes
Time in minutes spent riding a bicycle = 60 x 3 = 180
Ratio of the minutes - 265 : 180
53 : 35
To learn more about ratios, please check: https://brainly.com/question/25927869
Ronald brought a jacket on Friday that had original price if $45. It was on sale at 10% off its original price. Which formula shows what Ronald paid after 7% sales tax was added?
A. 1.07(45-10)
B. 1.03(45)
C. 1.07(45-45(.1))
D. 1.1(45-45(.7))
What is the value of a+b?
A) 110
B) 125
C) 135
D) 145
Please help!!!!
find missing side of triangle. help
Answer:
x² + 2² =(√15)²
x²+ 4. =15
x² =15-4
x² =11
x. =√11 mi
so the answer is 4th option
What is one way the Federal Reserve can reduce the amount of money available in the economy?
A. Raising the discount rate
B. Selling treasury securities
C. Buying treasury securities
D. Lowering the interest on reserves
Answer:
B. Selling treasury securities
Step-by-step explanation:
I'm taking the quiz
The Federal Reserve can reduce the amount of money available in the economy is buying treasury securities.
What is a federal reserve?The Federal Reserve can decrease the money supply by increasing the discount rate. a. Raising the discount rate provides depository institutions a minor incentive to borrow, thereby decreasing their reserves and lending activity. The U.S. government created the Federal Reserve, the nation's central bank, to control the money supply and contain economic calamities.One of the primary objectives of the Federal Reserve exists to function as the lender of last resort, permitting banks to borrow from the central bank when needed.The Fed operates three immediate tools in handling the money supply and observing stable economic growth. The tools exist (1) reserve needs, (2) the discount rate, and (3) open market operations.Each of these controls the money supply in different forms and can be utilized to obtain or develop the economy.The Federal Reserve can decrease the amount of money general in the economy stands buying treasury securities.Therefore, the correct answer exists as option B. Selling treasury securities.
To learn more about Federal Reserve refer to:
https://brainly.com/question/382312
#SPJ2
What is the slope of the line shown below?
Answer:
Hello there,
The correct answer to this question would be D 1/6
Step-by-step explanation:
I had took the test and it said it was correct.
Anyways hope this helps
if the answer is correct pls mark Brainliest
thank you, have a nice day
Pls help before the clock hits 50 :(
Use the following graph of the function f(x) = 3x4 − x3 + 3x2 + x − 3 to answer this question: What is the average rate of change from x = -1 to x = 0
Answer:
-6
Step-by-step explanation:
Which of the following represents the general form of an inequality?
Ax + By 2 C
Ax + By >
Ax + By < 0
All of the choices
Answer:
Third option:
Ax + By < 0
Step-by-step explanation:
The general form of an inequality is:
(something) (symbol) (another thing).
Where the symbols can be:
> = "larger than"
< = "smaller than"
≤ = "smaller than or equal to"
≥ = "larger than or equal to"
So, a given inequality can be:
K > M
This means that K is larger than M.
From the given options, the only one that has this general form is the third option:
Ax + By < 0
This can be read as:
"A times x, plus B times y, is smaller than zero"
Does anyone know how to solve these?
Answer:
1st graph: slope is -1 and equation is y=-x+5
2nd graph: slope is 2/5 and equation is y=2/5x-3
Step-by-step explanation:
y=mx+b is slope-intercept form.
It's call that because this forn tells us the slope,m, and the y-intercept,b.
The first graph you have identified b as 5 since you said the y-intercept was (0,5).
Now we just find slope by finding rise/run.
(0,5) is marked and we see another point has been marked, I will start at (0,5) go down 2 and right 2. This means rise=-2 and run=2 which means the slope=-2/2 and that reduces to -1.
The equation for first graph is y=-1x+5 or y=-x+5.
So again you have no problem identifying the y-intercept which is b=-3.
Now just count the rise/run to the other point. Starting at y-intercept we have to go up 2 and right 5 to get to the other point so m=2/5.
Let f be defined as shown. What is f^-1(-3)
Hello,
[tex]f^{-1}(-3)=-1\\[/tex]
You have just to read the arrows un reversed order:
in f we find (-1,-3) so in f^{-1} we find (-1,-3)^{-1}=(-3,-1)
pls help w this
√2x+1 = 4
In the equation above, what is the value of 2x +1?
A) 3/2
B) 2
C) 4
D) 16
Answer:
[tex]\boxed {\boxed {\sf D. \ 16}}[/tex]
Step-by-step explanation:
We are given the following equation and asked to solve for 2x+1.
[tex]\sqrt {2x+1}=4[/tex]
We want to isolate the entire expression of 2x+1. Notice that it is under the square root. If we want to isolate it, we have to perform the inverse operation. The inverse of a square root is a square, so we square both sides of the equation.
[tex](\sqrt{2x+1} )^2= (4)^2[/tex]
[tex]2x+1=(4)^2[/tex]
[tex]2x+1=16[/tex]
We could continue solving for x, then plug the answer back into the expression 2x+1. However, hopefully you notice that we already found the answer!
We only had to do one step to find the answer, but you could complete many other steps to get the same answer:
[tex]2x+1-1=16-1\\2x=15\\2x/2=15/2\\x= 7.5[/tex] (Solve for x)
[tex]2x+1\\2(7.5)+1\\15+1\\16[/tex] (Plug the answer in for x)
The value of 2x+1 is 16 and the correct answer is 16.
a man invested 800.00in a bank at a simple interest rate of 5% per annum .Find his total amou year
Answer:
£840
Step-by-step explanation:
800 × 1.05 = 840
(1.05 Is the decimal multiplier = (100% + 5%)/100)
The transformation from the function ƒ(x) = 3x to the function ƒ(x) = 3x + 4 indicates:
Answer:
Moving 4 to the right on the x axis
Find the circumference of this circle
using 3 for TT.
C = ?
[tex]{ \bf{ \underbrace{Given}}}[/tex]:
Diameter of the circle "[tex]d[/tex]" = [tex]36[/tex]
Value of [tex]π[/tex] = [tex]3[/tex]
[tex]{ \bf{ \underbrace{To\:find}}}[/tex]:
The circumference "[tex]C[/tex]" of the circle.
[tex]{ \bf{ \underbrace{Solution }}}[/tex]:
[tex]\sf\pink{The\:circumference \:"C"\:of\:the\:circle\:is\:108.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
We know that,
[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:πd }[/tex]
[tex] = 3 \times 36[/tex]
[tex] = 108[/tex]
Therefore, the circumference of the circle is [tex]108[/tex].
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]
Answer:
[tex]\Longrightarrow: \boxed{\sf{108}}[/tex]
Step-by-step explanation:
Apply the formula for the circle's circumference.
[tex]\text{Circumference circle formula:}[/tex]
[tex]\Longrightarrow: \sf{C=\pi d}[/tex]
[tex]\Longrightarrow:\sf{C=?}\\\\\Longrightarrow:\sf{\pi =3}\\\\\Longrightarrow:\sf{d=36}[/tex]
Multiply.
[tex]\sf{3*36=\boxed{\sf{108}}[/tex]
Therefore, the correct answer is 108.I hope this helps! Let me know if you have any questions.
Please answer the question that is attached below
Refer to the picture in the question for reference.
A statement-reason format is used to solve this problem. Statements are in normal print, reasons are bolded.
Statement Reason
1. AD = AE Given
<B = <C
2. <A = <A Reflexive Property
3. ΔABE = ΔACD Angle - Angle - Side
The given information refers to the information that is given with the problem.
The reflexive property states that if two polygons share a part (a side or an angle), then this part called in one of the polygons is congruent to itself in the other polygon.
Finally, the (angle-angle-side) congruence theorem states that if two triangles have two congruent angles and a congruent side between them, then the triangles as a whole are congruent to each other.
The function g(x) is a transformation of the cube root parent function,
Answer:
I believe that the answer is B as well
Step-by-step explanation:
This might be for Ap3x but not 100% sure
Question 24 of 42
Which of the following conditions is not sufficient to show that the two
triangles are congruent?
AA
A
X Х
5-
A. AABC and Axyz have the same orientation.
B. The rise and run of the translation between each pair of
corresponding points are the same.
A
Answer:
I think A is correct
Step-by-step explanation:
I can't see D so I'm not sure, hope it's right
Find the measure of the indicated angle to the nearest degree.
1)
A) 19°
C) 36°
B) 43°
D) 47°
Answer:
D
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan? = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{18}{17}[/tex] , then
? = [tex]tan^{-1}[/tex] ([tex]\frac{18}{17}[/tex] ) ≈ 47° ( to the nearest degree )