Answer:
67.65
Step-by-step explanation:
Answer
cat scored: 38.65+29=67.65
100.2-67.65=32.55#
bo 29 marks
Step-by-step explanation:
What is the area of the parallelogram?
20 √2 cm 2
40 cm 2
20 cm 2
40 √2 cm 2
Answer:
20√2 cm²
Step-by-step explanation:
Area of parallelogram = base * height
base (b) = 10 cm
height (h) = ?
Apply trigonometric function to find the height (h)
Assuming the height connecting the parallel bases together forms a right angle, therefore
Reference angle = 45°
Opposite = height (h)
Hypotenuse = 4 cm
Apply SOH:
Sin 45 = Opp/Hyp
Sin 45 = h/4
4*Sin 45 = h
4*√2/2 = h (sin 45 = √2/2)
2√2 = h
h = 2√2 cm
✔️Area = base * height = 10 * 2√2
= 20√2 cm²
A woman has a total of $7,000 to invest. She invests part of the money in an account that pays 10% per year and the rest in an account that pays 11 per year. If the interest earned in the first year is $730 , how much did she invest in each account
The investments are $ 4000 and $ 3000 in the respective accounts
What is Algebra ?The mathematical field of algebra assists in the depiction of problems or conditions as mathematical statements. It involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.
In the given question,
x = amount invested at 10 %
( 7000 - x ) = amount invested at 11 %
The total interest was $730 :
.10 (x) + .11 (7000-x) = 730
0.1 x + 770 - 0.11 x = 730
0.01 x = 40
x = 4000
Therefore, the amount invested in an account that pays 10 % per year is $ 4000.
Hence , the amount invested in an account that pays 11 % per year is
= ( 7000 - x ) = 7000 - 4000 = $ 3000.
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y= -4(x+5)^2+4\(y=-4(x+5)^2+4\)
9514 1404 393
Answer:
x = -6 or -4
Step-by-step explanation:
Maybe you want to know the x-intercepts. They are found by ...
0 = (x +5)² -1 . . . . . divide by -4
1 = (x +5)² . . . . . . . add 1
±√1 = x +5 . . . . . . square root
-5 ± 1 = x . . . . . . subtract 5
x = -6 or -4
__
The vertex is (-5, 4). The parabola opens downward, so the vertex is a maximum. The range of the function is (-∞, 4]. The vertical scale factor is -4, so the graph will appear narrower than that of the parent function.
What is the value of x?
Answer:
5.6
Step-by-step explanation:
We want to find the value of x, which is part of the segment that includes the length 10.
We need to use Power of Points, one property of which essentially says that if we have two intersecting chords such that they are each cut into two parts to make a and b, and c and d, then ab = cd (see attachment).
Here, we can say that a = 10, b = x, c = 7, and d = 8. Plug these in:
ab = cd
10 * x = 7 * 8
10x = 56
x = 56/10 = 5.6
The answer is 5.6.
Each diagonal has two parts (a, b, c, and d).
The formula is ab = cd
We have the values:
a = 10
b = x
c = 8
d = 7
Put these in the formula:
10x = (8)(7)
Solve for x.
10x = (8)(7)
10x = 56
10x/10 = 56/10
x = 5.6
Therefore, the answer is x = 5.6
Best of Luck!
A home purchased for $120,000 in 2012 is sold for $156,000 in 2015. What is the percent increase in the price?
Please show the work
I need the answer ASAP
Answer: 30%
Step-by-step explanation:
now-before = difference
156000-120000= 36000 difference
(difference/before)*100 = percent
36000÷120000=0.3
0.3*100 = 30% change
=
Perform the following metric-metric conversion.
195 km/h to m/min
=m/min
195 km/h =
***
The metric conversion from 195 km/h to m/min is; 3250 m/min
How to carry out Metric conversions?The basic metric conversion units are meters (for length), grams (for mass or weight), and liters (for volume).
Now, the metric unit of conversion from km/h to m/min is;
1 km/h = 50/3 m/min
Thus;
195 km/h = (195 * 50)/3
= 3250 m/min
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If f(x) = 5x, what is y(x)?
1. F^1(x)=-5x 2. F^1(x)=-1/5x 3. F-1(x)1/5x 4. F-1(x)=5x
Answer:
f^-1 (x) = x/5
Step-by-step explanation:
f(x) = 5x
Replace f(x) with y
y= 5x
Exchange x and y
x = 5y
Solve for y
Divide each side by 5
x/5 = 5y/5
x/5 = y
The inverse is x/5
Find the derivate of sinx.cosxdx
The first derivative of sinx cosx using product rule is; cos2x.
How to find the first derivative in differentiation?The trigonometric function we are given to differentiate is;
sin x. cos x dx
We know that in product rule, for a function h(x) given as the product of two functions f(x) and g(x), i.e. h(x) = f(x) * g(x), then its derivative is given by h'(x) = f'(x) g(x) + f(x) g'(x).
For the function sinx cosx, let;
f(x) = sinx and g(x) = cosx.
Then, the derivative of sinx cosx is;
d(sinx cosx)/dx = (sinx)' cosx + sinx (cosx)'
= cosx cosx - sinx (-sinx)
= cos²x - sin²x
= cos2x
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Hoang has worked as a nurse at Springfield General Hospital for 5 years longer than her friend Bill. Two years ago, she had been at the hospital for twice as long. How long has each been at the hospital?
5 years longer then Bill, 2x5=10.
10+2=12.
12-5=7
Hoang has be there for 12 years. Bill has for 7 years.
Mark has 64 paintings the 1st day he sells 1/4 of them then on each day after that he sells 1/2 of the paintings he started the day with how many paintings does mark have left after 4 days of selling his paintings
The number of painting that Mark has left in the fourth day is 18 paintings.
How to calculate the number of painting?Number of painting = 64
Amount sold.on first day = 1/2 × 64 = 32
Amount left = 64 - 32 = 32
Number sold in 2nd day = 1/4 × 32 = 8
Number left = 32 - 8 = 24
Number sold on 3rd day = 1/4 × 24 = 6
Number left = 24 - 6 = 18
Therefore, he has 18 painting in the fourth day
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what is the height of a trapezoid with an area of 60 square meters and a base of 8 and 12
The area of a trapezoid is given by:
\(\begin{gathered} A=\frac{a+b}{2}\cdot h \\ \text{Where:} \\ a=\text{ Long base}=12 \\ b=\text{ Short base}=8 \\ h=\text{height} \\ A=\text{Area}=60 \end{gathered}\)Replacing the data into the equation:
\(\begin{gathered} 60=\frac{12+8}{2}\cdot h \\ 60=\frac{20}{2}\cdot h \\ 60=10\cdot h \\ \text{Solving for h:} \\ h=\frac{60}{10} \\ h=6m \end{gathered}\)A biologist wants to estimate how many fish are in a lake. The biologist takes a sample of 10 fish from the lake and tags all 10 fish. The biologist then releases the fish back into the lake. The nex day, the biologist retums to the lake and takes a sample of 7 fish. Of those fish, 2 of them have tags. Using this information, estimate the number of fish in the lake.
If the nex day, the biologist retums to the lake and takes a sample of 7 fish. Of those fish, 2 of them have tags. The estimated number of fish in the lake is 35 fish.
How to find the estimated number?Let x represent the estimated number of fish in the lake
Hence,
x /10 = 7/2
Cross multiply
2x = 10 × 7
2x = 70
Divide both side by 2x
x =70/2
x = 35 fish
Therefore 35 is the number of fish.
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A repair company charges $60 per hour of work.the repair company works 7 hours on a job.what is the total charge.
Answer: $420
Step-by-step explanation:
60 dollars x 7 hours = 420$
You measure 47 backpacks' weights, and find they have a mean weight of 79 ounces. Assume the population standard deviation is 13.1 ounces. Based on this, what is the maximal margin of error associated with a 90% confidence interval for the true population mean backpack weight.
Give your answer as a decimal, to two places
Answer:
3.14
Step-by-step explanation:
Given that:
Mean weight (m) = 79 ounces
Population standard deviation (s) = 13.1
Sample size = 47
Maximal margin of error associated with 90% confidence interval.
The margin of error is given by:
Zcritical * (standard deviation / sqrt(sample size)
Z critical at 90% confidence interval = 1.645
Hence,
Zcritical * (standard deviation / sqrt(sample size)
1.645 * 13.1 / sqrt(47)
1.645 * (13.1 / 6.8556546)
1.645 * 1.9108313
Hence, the margin of error is :
3.1433174885
= 3.14
K'
-8,8
,
L'
8,8
,
M'
-4,8
i need help finding the new coordinate. and scale factor is 1/2
Answer:
Step-by-step explanation:
To find the new coordinate of a point after it has been scaled by a factor of 1/2, you can multiply the x- and y-coordinates of the point by 1/2.
For example, to find the new coordinate of point K', you can multiply the x-coordinate of K' (-8) by 1/2 to get the new x-coordinate, and multiply the y-coordinate of K' (8) by 1/2 to get the new y-coordinate. This gives you the new coordinate of K' as (-4,4).
You can use the same method to find the new coordinates of points L' and M'. The new coordinate of L' is (4,4) and the new coordinate of M' is (-2,4).
I hope this helps! Let me know if you have any questions.
BIG POINTS! Please help me with this math problem. By the way, the answer is not 1 / 128 .
Answer and Step-by-step explanation:
2 * 2 * 2 * 2 * 2 * 2 * 2 = 128
2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 = 1024
4 * 4 * 4 * 4 * 4 = 1024
8 * 8 = 64
\(\frac{128 - 1024}{1024 - 64}\)
\(\frac{-896}{960}\)
896 and 960 both have 64 in common.
896 divided by 64 equals 14.
960 divided by 64 equals 15.
\(-\frac{14}{15}\) is the answer.
#teamtrees #WAP (Water And Plant) #ELM (Every Life Matters)
Step-by-step explanation:
\(\longrightarrow\sf \dfrac {2^7-2^10}{4^5-8^2}\)
Substitute the values\(\longrightarrow\sf \dfrac {128-1024}{1024-64}\)
\(\longrightarrow\sf \dfrac {-896}{960}\)
\(\longrightarrow\sf \dfrac {-14}{15}\)
More to know:-
Laws of exponents:-
\(\begin{gathered}\boxed{\begin{minipage}{5 cm}\bf{\dag}\:\:\underline{\text{Law of Exponents :}}\\\\\bigstar\:\:\sf\dfrac{a^m}{a^n} = a^{m - n}\\\\\bigstar\:\:\sf{(a^m)^n = a^{mn}}\\\\\bigstar\:\:\sf(a^m)(a^n) = a^{m + n}\\\\\bigstar\:\:\sf\dfrac{1}{a^n} = a^{-n}\\\\\bigstar\:\:\sf\sqrt[\sf n]{\sf a} = (a)^{\dfrac{1}{n}}\end{minipage}}\end{gathered}\)
The interior angle of a triangle measures 32 degrees. What is the measure of the adjacent exterior angle?
Answer:
328 degrees
Step-by-step explanation:
The measure of the full angle is 360 degrees
360 - 32 = 328 degrees
BTW sorry if I'm wrong
First question I answered.
:)
Three muffin pans with six in each pan what is the fraction for this
Answer:
1/18 ?
Step-by-step explanation:
I'm not sure if you're written the whole question?
3 pans with 6 muffins in each pan, so total number of muffins = 3 x 6 = 18
So each muffin is 1/18
Answer:
3/18
Step-by-step explanation:
you got 3 pans with 6 in each
Plz answer this I need to do this today what is 948 divide by 244 plz answer!!!
Answer:
3.8852
Step-by-step explanation:
Answer:
3.885245902 or rounded 3.88
Step-by-step explanation:
divide 948 by 244
how am i supposed to prove that theyre collinear
Answer:
They are collinear if they are on the same line
Original remains fossils have been protected from decay by amber, permafrost, oil, and _____.
sediment
wood
weather
coal
Answer:As I know the answer is coal
Step-by-step explanation:
Please votes me 5 stars,1 hearts and mark as Brainliest for me .Thanks
-21x (x + 28)
multiply
\(-21x^{2}-588\)
let me know if anything is unclear, I'm happy to help!
Evaluate the expression.
10+83÷16
Last year, your salary was $33,975. This year, your boss tells you your salary will be $34,960. What percent raise (change) did you receive? Round your answer to the nearest tenth of a percent.
Answer:
2.9%
Step-by-step explanation:
Find the equation (in terms of x ) of the line through the points (-3,4) and (1,-8)
Answer:
A(-3,4) B(1,-8)
y-y1/x-x1 =y2-y1/x2-x1
y-4/x--3 = -8-4/1--3
y-4/x+3 = -12/1+3
y-4/x+3 =-12/4
y-4/x+3 = -3
y-4 = -3(x+3)
y-4=-3x-9
y+3x +9-4=
y+3x+5=0
Answer:
y = -3x - 5
Step-by-step explanation:
-3, 4 and 1, -8
1 - -3 = 4
-8 - 4 = -12
\(\frac{-12}{4}\) = \(\frac{-3}{1}\) = -3
gradient/slope = -3
now substituting in the point -3, 4 to find the y intercept:
4= -3 x -3 + c
4 = 9 + c
-5 = c
y intercept = -5
equation is y = -3x - 5
Please help me with both I’ll mark your answer brainly
Answer: i can say the first one is teenagers watch more movies than parents but have one causle equal movie subject (documationy)
Step-by-step explanation: sorry if this did't help
#10. Find the lateral surface area of the figure discussed in problem 9.#9. Find the volume of a right solid whose height is 2 feet. Dimensions are in feet. (It comes with a picture)
Problem 9
The area of a trapezoid is computed using the following formula.
\(\text{Area = (}\frac{a+b}{2}\text{)h}\)In order to use the formula, for this problem
a = 17
b = 14
h = diameter of the half circle = 2*7 = 14
Therefore using the formula for the area of a trapezoid
We have that the area of the trapezoid on the figure would be
\((\frac{14+17}{2})14\text{ = 217}\)Now, the area of the half circle would be
\(\text{Half circle = }\frac{\pi\cdot(7)^2}{2}\text{ = }49\pi/2\)So the area of the base would be
\(217+49\pi/2\text{ }\)And since the solid is a right solid, we just multiply by the height
So, the volume of the right solid would be
\(2\cdot(217+49\pi/2\text{ ) = 434 + 49}\cdot\pi\)Sean took the bus from Seattle to Boise, a distance of 506 miles. If the trip took
7 2/3 hours, what was the speed of the bus?
Answer:
66 miles per hour
Step-by-step explanation:
To find the speed, divide the distance by the amount of time:
506 ÷ 7 2/3
= 66
= 66 miles per hour
Answer:
66
Step-by-step explanation:
Notice that the problem is asking us to find the rate for Sean's trip. Since we are also given the distance he is traveling and the travel time, we should use the distance, rate, and time formula.
d=rt
where d=distance r=rate t=time
We are given
d=506 mi
r=?
t=723=233 hr
Solving for rate and then substituting the given information into the distance, rate, time formula gives
r=dt=506233=5061⋅323=66
So Sean drove at a rate of 66 mph.
what is the area of a sector bounded by a 114 arc
Step1: Write out the given parameter
Θ=114°,r= 6ft
Step2; Write out the formula
The area of a sector is given as
\(\frac{\theta}{360}\times\pi r^2\)Step3: substitute the parameters into the formula
\(\frac{114}{360}\times\pi\times6^2\)\(\begin{gathered} \frac{114}{10}\pi \\ \frac{57}{5}\pi \end{gathered}\)Hence the area of the sector is (57/5)π interms o
Help me pleaseeee help me I really don’t understand this.
Answer:
Step-by-step explanation:
Percentages can be confusing. All you need from the graph is one number. You can ignore everything else.
What you need is the Marketing %. If you read the graph, it is 36%. All you need to do is take 36% of 15 million.
36% as a fraction is 36/100
Marketing share = 36/100 * 15000000
Marketing share = 5,400,000