Answer:
m∠RSA is 27.1° and m∠AST is 27.1°
Step-by-step explanation:
If a ray bisects an angle, then it divides it into two equal angles in measures and the measure of each one is half the measure of this angle
In the given question
∵ Ray SA bisects ∠RST
→ That means it divides it into two angles RSA and AST
∴ m∠RSA = m∠AST = [tex]\frac{1}{2}[/tex] m∠RST
∵ m∠RST = 54.2°
→ Multiply its measure by to find the measures its parts
∴ m∠RSA = [tex]\frac{1}{2}[/tex] × 54.2°
∴ m∠RSA = 27.1°
∴ m∠AST = [tex]\frac{1}{2}[/tex] × 54.2°
∴ m∠AST = 27.1°
Tre Bullwinkle bought 5 pairs of jeans for $87.50. How much would he need to pay for 9 pairs of jeans?
5 pairs of jeans for $87.50.
=> 1 pr costs = 87.50 : 5 = $17.50
How much would he need to pay for 9 pairs of jeans?
= 17.50 x 9 = $157.50
Answer:
157.5
Step-by-step explanation:
87.50/5=17.5
17.5x9=157.5
extra lett shsbss s gs gs sg ss gss s a as sa an s sababsg sbs sg sbasba ssb assbs sb sbbshs s sjbjsabs poits
1+1
Answer:
1+1=2
Step-by-step explanation:
easy lol
1. Write the following in exponential form and as a multiplication sentence using only 10 as a factor
(e.g., 100 = 102= 10 x 10).
a. 1,000
b. 100 x 100
2. Write the following in standard form (e.g., 4 x 102 = 400).
a. 3 x 102=
C.
800 - 103 =
I
b. 2.16 x 104 =
d. 754.2 - 102 =
Answer:
1. a. 1,000 = 10³ = 10 × 10 × 10
b. 100 × 100 = 10² × 10² = 10 × 10 × 10 × 10
2. a. 3 × 10² = 300
b. 2.16 × 10⁴ = 21,600
c. 800 ÷ 10³ = 0.8
d. 754.2 ÷ 10² = 7.542
Step-by-step explanation:
3. a. 1,000
There are 3 zeros in 1000. This is equivalent to 10 raised to the power of 3. Writing this in multiplication sentence using 19 as the only factor, we would have:
1,000 = 10³ = 10 × 10 × 10
b. 100 × 100
Using the same logic as explained in (a) above, we would have:
100 × 100 = 10² × 10² = 10 × 10 × 10 × 10
2. a. 3 × 10²
Convert 10² to 100 and multiply both numbers
3 × 10² = 3 × 10 × 10 = 3 × 100 = 300
b. 2.16 × 10⁴
2.16 × 10 × 10 × 10 × 10 = 2.16 × 10,000
Multiplying both numbers, since we have 4 zeros, move the decimal point 4 places to the right.
2.16 × 10,000 = 21,600
c. 800 ÷ 10³ = 800 ÷ 10 × 10 × 10
800 ÷ 1,000
There are 3 zeros in 1000, since we are dividing, move the decimal point 3 places to the left.
800 ÷ 1,000 = 0.8
d. 754.2 ÷ 10² = 754.2 ÷ 10 × 10
754.2 ÷ 100
Move the decimal point 2 places to the left.
754.2 ÷ 100 = 7.542
M is the midpoint of AB.
AM = = 4x - 8
MB =
5x-3/3
Find x and AB
entering to par
C.
What is the unit rate, and what does it represent in the context of this situation.
C=50p to find the total cost,c, for the number of people p, entering a local amusement park. What is the unit rate, and what does it represent in this context
Answer: you would simple multiply the cost c which is fifty bucks times the number of p people
Step-by-step explanation: how much would it cost for 6 people to go to the fair to solve this you would just set up the equation 6 * 50 and solve from there
Twenty students are members of the school debate team. Five
of the students are girls and 15 of the students are boys. What
percentage of the team is boys?
Answer:
75%
Step-by-step explanation:
[tex]\frac{15}{20}[/tex] as a percent = 75%, or 0.75 in decimal form.
Evaluate 2^-5
1/32
-1/32
-32
32
Answer:
log ( 100 )
6 !
3 !
log ( 7 )
PLEASE HELP ASAP
If the width of a rectangle with perimeter P is 6 units, what is its length?
Answer:
p/2-6
Step-by-step explanation:
Find the Length of KNJ
1.) 16.9
2.)67.5
Step-by-step explanation:
The length of arc KNJ is the circumference of the entire circle minus the measure of the 48 degree arc.
This means the central angle of this sector KNJ is 360-48=312.
Using the arc length formula, we get the arc length is (2)(pi)(16)(312/360)=416pi/15.
what are the x and y intercepts for the line
4x + 5y = 20
The bill is $24 plus 6% sales tax. What is the total amount to be paid?
Answer:
25
Step-by-step explanation:
Which expression is equivalent to mc011-1?
A. mc011-2
B. mc011-3
C. mc011-4
D. 3m
Equivalent expressions are expressions that have the same value.
The equivalent expression of [tex]3m + 1[/tex] is [tex]2 + m - 1 + m[/tex]
From the complete question, the expression is given as:
[tex]3m+1-m[/tex]
Collect like terms
[tex]3m+1-m = 3m - m + 1[/tex]
Evaluate like terms
[tex]3m+1-m = 2m + 1[/tex]
Express 2m as m + m
[tex]3m+1-m = m + m + 1[/tex]
Express 1 as 2 - 1
[tex]3m+1-m = m + m +2 - 1[/tex]
Rewrite the expression as:
[tex]3m + 1 = 2 + m - 1 + m[/tex]
Hence, the equivalent expression of [tex]3m + 1[/tex] is [tex]2 + m - 1 + m[/tex]
Read more about equivalent expressions at:
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Answer:
the answer is c
Step-by-step explanation:
sing-chi chow has a single plan. the ppo annual premium is $12,436
the employer pays 85% of the cost. (a) how much does sing-chi pay
-
annually? (b) how much is deducted from his weekly paycheck?
e
If the ppo annual premium is $12,436 the amount that sing-chi pay is $1,865.40 and the amount deducted from his weekly paycheck is $35.87.
Annual premiuma. Payment
Using this formula
Payment=Annual premium×(1-rate)
Let plug in the formula
Payment=$12,436×(1-0.85)
Payment=$12,436×0.15
Payment=$1,865.40
2. Weekly paycheck deduction:
Weekly paycheck deduction=Payment ÷Numbers of week in a year
Weekly paycheck deduction=$1,865.40/52 weeks
Weekly paycheck deduction=$35.87
Inconclusion the amount that sing-chi pay is $1,865.40 and the amount deducted from his weekly paycheck is $35.87.
Learn more about annual premium here:https://brainly.com/question/25280754
What is 275 divided by 38
250m^3+54 I can’t figure out how to solve
Answer:
2
(
5
+
3
)
(
2
5
2
−
1
5
+
9
)
Step-by-step explanation:
The given expression 250m³ +54 can be written in the form, 2(5m + 3)(5m² - 15m + 3²)
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Maths operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
The expression, 250m³ +54
⇒ 250m³ +54
It can be written as,
⇒ 2×125×m³ + 2×27
Now, 2 can take common
⇒ 2(125×m³ + 27 )
⇒ 2(5³×m³ + 3³ )
⇒ 2(5m³ + 3³ )
It is known that, it is like algebraic identity
a³ + b³ = (a + b)(a² - ab + b²)
Similarly, given expression can be written in form of identity
2(5m³ + 3³ ) = 2(5m + 3)(5m² - 15m + 3²)
Hence, it can be expressed as 2(5m + 3)(5m² - 15m + 3²)
To know more about Expressions check:
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#SPJ2
2, 20, 4,40, 8, 80, 16,
What is the pattern?
Answer:
multiplied by 10, divided by 5
Step-by-step explanation:
Answer:
multiply by 10
Step-by-step explanation:
1.) 2, 20 2x10=20
2.) 4, 40 4x10=40
4.) 8, 80 8x10=80
thats the pattern and jope i helped. -Adiel, age 11, 6th grade
What is the simplest interest formula?
I=p-rt
I=Prt
I=P+r+t
Answer:
I=Prt
Step-by-step explanation:
The simple interest formula is given as;
I = Prt
where I is the simple interest
p is the principal
r is the percentage rate
t is the duration
Simple interest accrues on the principal of either a loan or an investment. This amount is payable after a duration of time.
Principal is the amount borrowed or invested in a business
Rate is the percentage commission to be paid on the amount borrowed
Time is the duration of the borrowing.
Suppose that $5,000 is invested at an interest rate of 7% compounded monthly.
What is the balance after 8 years
On average, crossfit workouts burn 280 calories in 1/4 hour of an hour. How many calories are you burning in one hour?
Answer:
1,120 calories burned in one hour
Step-by-step explanation:
On average, cross fit workouts burn 280 calories in 1/4 hour of an hour. How many calories are you burning in one hour?
280 x 4 = 1,120 calories burned in one hour
hope this helped :D
If you bought 4 pounds of pasta at the rate of 8 pounds to $9.00, how much would it cost?
Answer:
$4.50
Step-by-step explanation:
If 8 pounds is 9 dollars, then each pound is $1.125, times 4 is $4.50. Hope this helps :)
A fair dice is rolled.
Work out the probability of getting a 3.
Give your answer as a fraction in its simplest form.
3. The area of a square is 169 cmWhat is the length of the diagonal of
the square?
Answer:
18.4 cm
Step-by-step explanation:
A square has equal sides. Let's say one side is x. The area would be x^2. We know the area to be 169 cm^2, so:
x^2 = 169 cm^2
x = 13 cm
The diagonal, z, would form a right triangle with two sides of length 13 cm. The Pythagorean theorem can be used:
13^2 + 13^2 = z^2
z^2 = 338
z = 18.38 cm, or 18.4 cm
There are 4 trucks for every 5 cars in a parking lot. How many trucks and cars
could be in the parking lot if there are 35 cars?
Answer:
There could be a total of 63 vehicles, 35 cars and 28 trucks
Answer:
28 trucks
35 cars
63 total cars and trucks
Step-by-step explanation:
trucks : cars
4 : 5
Use a proportion.
x/4 = 35/5
x/4 = 7
x = 28
28 trucks
35 cars
63 total cars and trucks
-3 (6x-8) = 168
what is x=
Answer:
X= -8
Step-by-step explanation:
1. -18x+24=168
2. -18x=168-24
3. -18x=144
4. x = -8
Answer:
x = -8
Step-by-step explanation:
-3(6x-8) = 168 (Distribute -3 t0 6x and -8)
-18x + 24 = 168 (subtract 24 on both sides)
-18x = 144 (divide by -18 on both sides)
x = -8
A designer is adding a pendant to a jewelry collection. The shape of the pendent can be defined by the equation y = StartFraction 1 Over 20 EndFraction x squared EndFraction. If the largest dimension of the pendant is 10 cm wide, what is the greatest length? 1. 25 cm 2. 50 cm 5 cm 10 cm.
The greatest length of the considered pendent is given by: Option A: 1.25 cm
What does graph of a function represents?Suppose the considered function is [tex]y = f(x)[/tex]
Then, we will plot points as [tex](x,y) =(x,f (x))[/tex] for all values of 'x' which are in domain of the function.
For this case, the given function's graph (the graph of [tex]y = \dfrac{x^2}{20}[/tex] ) is shown below.
We're given that the largest dimension is of 10 units.
Let this be the line segment parallel to the x-axis, intersecting y-axis at [tex]y = y_0[/tex]
Now, since the curve is symmetric over (as for x or -x, we get same y), so the line segment that is parallel to x axis also intersects the graph at symmetric places. Let those points be in front of [tex]x_0[/tex] and [tex]-x_0[/tex]
For those inputs, the output is [tex]y = y_0[/tex],
Also, we have length of the line segment as of 10 units, this is the difference between those symmetric inputs.
Thus, we get two equations:
[tex]x_0 - (-x_0) = 10[/tex]
[tex]f(x_0) = y_0 = \dfrac{x_0^2}{20}[/tex]
From first one, we get:
[tex]x_0 = 10/2= 5[/tex]
Thus, we get:
[tex]f(x_0) = y_0 = \dfrac{x_0^2}{20}\\\\f(5) = y_0=\dfrac{25}{20} = 1.25[/tex]
Since the length of y_0 is the shortest distance from x-axis to that parallel line segment, this is the second dimension needed.
Thus, the greatest length of the considered pendent is given by: Option A: 1.25 cm
Learn more about functions here:
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Which of the following is not a real number?
Step-by-step explanation:
A
An experiment involves rolling a standard die. The experiment was performed 100 times, and the results are shown in the following frequency table. Result Frequency 1 14 2 19 3 16 4 16 5 17 6 18 What is the experimental probability of rolling a 1?
Step-by-step explanation:
first a quick check that we really deal with 100 events (experiment results).
14+19+16+16+17+18 = 100
perfect.
so, based on this particular die its own probabilty distribution of the 6 different possible outcomes shows that there might be some imbalances inside the die, or its outside dimensions are not exactly the same, or simply the process of rolling the die is not neutral (not fully random).
in any case, it seems there are some deviations from the normal expected behavior of 1/6 per number.
so, the observed experimental probabilty of rolling a 1 is
(as always, desired cases / total cases)
14/100 = 7/50 = 0.14
which is a little bit less then 1/7.
Please answer fast it will be very helpfull please it is a humble requst A samosa costs Rs 5 and a cold drink costs Rs 10. You take a samosa and cold drink every day for 6 days. The total money spent in 6 days is Rs
6x5+10
6x10+5
10x5+6
6x(5+10)
Answer:
6*(5+10)
Step-by-step explanation:
6*(5+10)
6*15
90
I NEED HELP WITH THIS ASAP. I WILL GIVE BRAINLIEST 1+1
Answer:
You kidding right!
Anyways your answee is 1+1=2
Answer:
2
Add 1 and 1, and that is 2, I don't know why, but it is.
Simple I know, and I get that this is a joke, but please don't post jokes too often, thanks very much.
Hope this helps?
Dylan weighs 45 pounds. Use the simplified expression you found in Part F to recalculate Cecil’s weight. Show your work.
Answer:
Cecil is 216 lbs
Step-by-step explanation:
d= Dylan
45
2d+3= Alan
93
3d-12= Bruce
123
Bruce+Alan =Cecil
216