Date:
If a pair of complementony angles are the
natio 2:3 find the angles
Answer:
the angles are 36 and 54
Step-by-step explanation:
2:3=5
2 by 5 into 90=36
3 by 5 into 90=54
Find the surface area of a square pyramid with a side length of 2m and slant height of 3m.
Answer:
12
Step-by-step explanation:
A sum of money is divided amongst Rony, Lisa and Tulip in the ratio 10: 7: 5. If
Lisa gets $20 more than Tulip, find the total sum of money shared and the amount
Rony gets.
Answer:
$62.85
Step-by-step explanation:
Given data
ratio= 10: 7: 5
Total ratio= 10+7+5= 22
Lisa= $20
Her proportion of the ratio = 7
Applying the part to all method
Let the total amount shared be x
7/22= 20/x
cross multiply
7x= 22*20
7x= 440
divide both sides by 7
x= 440/7
x= 62.85
What is the growth factor of 2% decreased
The growth factor of a 2% decrease is 0.98.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
The growth factor of 2% decreased.
This means,
100% - 2%
= 98%
= 98/100
= 0.98
Thus,
0.98 is the growth factor of a 2% decrease.
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Angles a and b are supplementary and angle a measures 18 degrees. What is the measure of angle b? *
The measure of angle b is which is a supplement of angle a is 162 degrees.
What is the measure of angle b?If angles a and b are supplementary, that means they add up to 180 degrees.
Given that;
Measure of angle a = 18 degreesMeasure of angle b = ?Since angle a and angle b are supplementary, So, we can set up the equation:
a + b = 180
We know that angle a measures 18 degrees, so we can substitute this value into the equation:
18 + b = 180
Solving for b, we can subtract 18 from both sides:
b = 180 - 18
b = 162 degrees
Therefore, angle b measure 162 degrees.
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please help me this, this is very urgent!! thank you so much!
Answer:
KPL= 64 degrees JPL= 116 degrees
Step-by-step explanation:
2x+24+4x+36=180
combine like terms
6x+60=180
6x=120
x=20
2(20)+24=64
4(20)+36=116
What is the equation of the line that passes through the point (-1,-1) and has a slope of -4?
\((\stackrel{x_1}{-1}~,~\stackrel{y_1}{-1})\hspace{10em} \stackrel{slope}{m} ~=~ - 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{- 4}(x-\stackrel{x_1}{(-1)}) \implies y +1= -4 (x +1) \\\\\\ y+1=-4x-4\implies {\LARGE \begin{array}{llll} y=-4x-5 \end{array}}\)
What is the slope of the line that passes through the points
(
−
4
,
−
10
)
(−4,−10) and
(
−
7
,
−
19
)
(−7,−19)?
Answer:
3
Step-by-step explanation:
slope of the line, m = (y2 - y1 ) / ( x2 - x1 )
= (-19 + 10 ) / (-7 + 4)
= -9 / -3
= 3
Theo bought 2 hot dogs and two drinks for $4.00. At the same concession stand, Vicky bought 3 hot dogs and a drink for $4.50. Write a system of equations and find what is the price of a hot dog concession stand?
Answer:
The hot dog are $2.63
Step-by-step explanation:
Hot Dogs = H
Drinks = D
2H + 2D = 4
Divide both sides by 2
H + D = 2
Subtract D from either side
H = 2 -D
3H + D = 4.50
Plug in 2 - D for H
3(2- D ) + D = 4.50
6 - 3D + D = 4.50
6 - 4D = 4.50
Add 6 to either side
-4D = 10.50
Divide either side by -4
D = -2 . 625
What is the domain of the linear function below?
Y=6x+3
A. All negative numbers
B. All positive numbers
C. Integers only
D. All real numbers
The cost of a ticket increases by 10% to £18.15
Work out the original cost.
Answer:
£16.50
Step-by-step explanation:
\(x \times (1+\frac{10}{100} )=18.15\)
\(x \times \frac{110}{100} =18.15\)
\(\frac{110}{100} x=18.15\)
\(1.1x=18.15\)
\(\frac{1.1x}{1.1}=\frac{18.15}{1.1}\)
\(x=16.5\)
Answer: £16.50
Step-by-step explanation:
Let the original cost be x
x + 10/100x = 18.15
1.1x = 18.15
x = 16.50
Hey I got the the idea! But it looks like the answer doesn’t have the other number? Which kinda makes me think it if we even did this lol!
The area of a right triangle can be calculated as half the product of each leg length.
So, if the legs measure 4 cm and 3 cm, we have:
\(\begin{gathered} A=\frac{4\cdot3}{2} \\ A=2\cdot3 \\ A=6\text{ cm}^2 \end{gathered}\)Therefore the triangle area is 6 cm².
A ping-pong ball rolls forward 6 meters, and bounces backward 3 meters. It traveled a total distance of:.
The distance traveled by the ping-pong ball as it rolls forward 6 meters and bounces backward 3 meters is 3 meters.
Distance is a concept that is important to understand in physics and mathematics. It refers to the amount of space between two points. In this scenario, we will be discussing the distance traveled by a ping-pong ball as it rolls forward and bounces backward.
When the ping-pong ball rolls forward, it covers a distance of 6 meters. This can be represented mathematically as d1 = 6 meters.
When the ball bounces backward, it covers a distance of 3 meters. This can be represented as d2 = -3 meters which means the negative sign indicates that it is moving in the opposite direction.
The total distance traveled by the ball can be found by adding the distance traveled in each direction. This can be represented as
=> d = d1 + d2 = 6 + (-3) = 3 meters.
In other words, the total distance traveled by the ball is 3 meters, which is the net distance covered after taking into account both the forward and backward movements.
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Write the equation of the line, in
standard form Ax+By=C, that has a
slope of -4 and passes through the point
(1, -3).
(Do NOT put any spaces between terms
when you type in your answer below.)
Answer:
4x + y = 1
Step-by-step explanation:
Start with the familiar format of y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
With a slope of -4, we can write:
y = -4x + b
We need to find a value for b that forces the line through point (1,-3). This is done by entering this point in the equation and solving for b:
y = -4x + b
-3 = -4*(1) + b
b = 1
The equation is y = -4x + 1, This can be rewritten as:
4x + y = 1
Se attached graph.
How to count the magnitude of a vector?
The magnitude of a vector can be counted by using the Pythagorean theorem.
What is the Pythagorean theorem ?The well-known Pythagorean Theorem states that the square on the hypotenuse of a right triangle equals the sum of the squares on its legs (the side opposite the right angle ).
Using the Pythagorean Theorem to find the magnitude involves finding the square root of the sum of the squares of the vector's components. In mathematical terms, the magnitude of a vector with components (x, y, z) is given by the formula:
|V| = √ ( x ² + y ² + z ² )
In conclusion, to count the magnitude of a vector, you need to determine its components and then perform the calculation using the formula.
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The diameter of a semicircle is 6 millimeters what is the semi circles radius PLEASE HELP
Answer:
r = 3 mm
Step-by-step explanation:
The radius is 1/2 of the diameter.
r = 1/2 d
r = 1/2(6)
r = 3 mm
Round 9991.55314546 to the nearest thousand.
PLSSS HELP ASAP
Can someone answer this for me, please?
(1/4)>(1/6)
0.25>0.167
Hope it helps :-)
Melissa the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday there were 5 clients who did Plan A and 3 who did Plan B. On Thursday there were 2 clients who did Plan A and 12 who did Plan B. Melissa trained her Wednesday clients for a total of 7 hours and her Thursday clients for a total of 19 hours. How long does each of the workout plans last? LengthofeachPlanAworkout:hour(s) LengthofeachPlanBworkout:hour(s)
Let Length of each Plan A workout be \( a\)
and Length of each Plan B workout be $b$
on Wednesday,
$5a+3b=7$
$2a+12b=19$
multiply equation one by $4$ and subtract equation two from it
to get,
$18a=9$ or $a=\frac12$
substitute $a$ in eq 2. to get $b$, $12b=18\implies b=\frac32$
Help pls .
(Stop typing just to type miserable a^^ with mommy & daddy issues .)
Answer:
1). Given Equation
2). Distributive property
3). Combine like terms
4). Addition or Subtraction Property Of Equality
5). Multiplication or Division Property Of Equality
From a table of integrals, we know that for ,≠0a,b≠0,
∫cos()=⋅cos()+sin()2+2+.∫eatcos(bt)dt=eat⋅acos(bt)+bsin(bt)a2+b2+C.
Use this antiderivative to compute the following improper integral:
∫[infinity]01cos(3)− = limT→[infinity]∫0[infinity]e1tcos(3t)e−stdt = limT→[infinity] if ≠1s≠1
or
∫[infinity]01cos(3)− = limT→[infinity]∫0[infinity]e1tcos(3t)e−stdt = limT→[infinity] if =1.s=1. help (formulas)
For which values of s do the limits above exist? In other words, what is the domain of the Laplace transform of 1cos(3)e1tcos(3t)?
help (inequalities)
Evaluate the existing limit to compute the Laplace transform of 1cos(3)e1tcos(3t) on the domain you determined in the previous part:
()=L{e^1t cos(3)}=
"From a table of integrals, we know that for \(\(a \neq 0\)\) and \(\(b \neq 0\):\)
\(\[\int \cos(at) \, dt = \frac{1}{a} \cdot \cos(at) + \frac{1}{b} \cdot \sin(bt) + C\]\)
and
\(\[\int e^a t \cos(bt) \, dt = \frac{e^{at}}{a} \cdot \cos(bt) + \frac{b}{a^2 + b^2} \cdot \sin(bt) + C\]\)
Use this antiderivative to compute the following improper integral:
\(\[\int_{-\infty}^{0} \cos(3t) \, dt = \lim_{{T \to \infty}} \int_{0}^{T} e^t \cos(3t) \, e^{-st} \, dt = \lim_{{T \to \infty}} \text{ if } s \neq 1, \, \text{ or } \lim_{{T \to \infty}} \text{ if } s = 1.\]\)
For which values of \(\(s\)\) do the limits above exist? In other words, what is the domain of the Laplace transform of \(\(\frac{1}{\cos(3)} \cdot e^t \cos(3t)\)\)?
Evaluate the existing limit to compute the Laplace transform of on the domain you determined in the previous part:
\(\[L\{e^t \cos(3t)\\).
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A ramp is to be built beside the steps to the campus library. Find the angle of elevation of the 25-foot ramp, to the nearest tenth of a degree, if its final height is 4 feet.
Answer:
Step-by-step explanation:
The angle of elevation of the 23-foot ramp, to the nearest tenth of a degree, if its final height is 5 feet is 12.6°.
What is Sine?
The Sine or Sinθ in a right angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,
this is where
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The hypotenuse is the longest side of the triangle.
We know that the length(Hypotenuse) of the ramp is 23 feet, while the height(Perpendicular) of the ramp is 5 feet. Thus, using the Sine function of the trigonometry can be written as,
so,the angle of elevation of the 23-foot ramp, to the nearest tenth of a degree, if its final height is 5 feet is 12.6°.
How do you write 30% as a decimal?
Answer:
30% as a decimal is 0.3
Step-by-step explanation:
hope his helped!
Answer:
30% as a decimal is 0.30.Step-by-step explanation:
Simply, convert the percentage into fraction form. To convert a percentage into fraction form, you must have a denominator of 100 and 30 in the numerator. Then, simplify. At last, convert. When you convert, you must get a result of 0.3 or 0.30. Below is the conversion.
30% = 30/100 = 0.30Hence, 30% as a decimal is 0.30.
Hoped this helped.
\(BrainiacUser1357\)
A 9 foot ladder is leaning against a wall. The distance from the base of the ladder to the base of the wall is 3.5 feet. If you were to lean a 11 foot ladder against the wall at the same angle from the ground, what will be the distance between the base of the ladder and the base of the wall? Round to the nearest hundredth.
The distance between the base of the 11-foot ladder and the base of the wall, rounded to the nearest hundredth, is approximately 4.28 feet.
We can use the idea of right triangles that are similar to each other to solve this issue. In similar triangles, the lengths of the sides that are corresponding to each other are equal.
Let's say that there is a distance of "x" feet between the base of the wall and the base of the 11-foot ladder.
Regarding the 9-foot ladder:
The hypotenuse measurement of the ladder is 9 feet, and the adjacent side measurement of the distance is 3.5 feet. For the 11-foot ladder:
The length of the stepping stool (hypotenuse) = 11 feet
The separation from the foundation of the stepping stool to the foundation of the wall (neighboring side) = 'x' feet
Utilizing the proportion of comparing sides of comparative triangles, we can set up the accompanying extent:
9 / 3.5 = 11 / x We can cross-multiply to solve for "x":
9x = 3.5 * 11 9x = 38.5 Now divide by 9 on both sides:
x = 38.5 / 9 x 4.28 indicates that the 11-foot ladder's base is approximately 4.28 feet away from the wall's base, rounded to the nearest hundredth.
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write 55,426 using the number names
Answer:
fifty five thousand four hundred and twenty six.
Step-by-step explanation:
Answer:
Hey mate
Step-by-step explanation:
55,426
Fifty five thousand four hundred twenty six.
hope it helps,
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A negative number with an absolute value less than
-4 and 4 was incorrect so no about those
Answer:
what are u trying to say
Step-by-step explanation:
Office Supplies: The Office Supplies account started the year with a $4,000 debit balance. During the year, the company purchased supplies for $13,400, which added to the Office Supplies Account. The inventory of supplies available at the end of the year totaled $2,554.
1. The beginning balance of Office Supplies:
2. The amount to be adjusted (show your calculation):
3. The ending balance of the account after the adjustment (show your calculation):
4. Adjusting Journal Entry (please include description):
1.The beginning balance should be $4,000
2.The amount to be adjusted is $2554
3.The ending balance of the account after the adjustment $2554
4. Office Supplies Account is $14846
"Information available from the question"
The Office Supplies account started the year with a $4,000 debit balance
The company purchased supplies for $13,400,
The inventory of supplies available at the end of the year totaled $2,554.
Now, According to the question:
1. The beginning balance should be $4,000
2.The adjusted amount is
Opening balance = 4000
Add: New purchases = 13400
Balance after Purchase = 17400
Less: Year end balance = 2554
3. The ending balance is $2,554
4. The adjusting journal entry is
Dr. Supplies Expense Account is 14846
Adjustment in the year = Cr. 14846 (subtracted from the balance)
Office Supplies Account is 14846
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I really need help with b I have already done a
Answer:
Step-by-step explanation:
In the first pattern, there were 6 sticks
In the second pattern, there were 10 sticks.
In the third pattern, there were 14 sticks.
Based on the pattern, we see that each time, 4 more sticks are added and that the initial amount of stick is 6.
Thus: the equation for how many sticks there would be in pattern n is:
# of sticks in pattern n = 6 + 4n
Hope that helps!
help pls
for brainlist
Answer:
7/20
Step-by-step explanation:
12/20+ -5/20
Two teams are playing basketball. At the end of the game,
Team A scores 72 points and Team B's score is 125% of Team
A's. How many points does Team B score?
Answer: 90 points
Step-by-step explanation:
Team A's score = 72 points
Team B's score = 125% of A's
= 90 points
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