Answer:
Solution given:
length [l]=20cm
breadth [b]=10cm
area of rectangle =l×b=20×10=200cm²
since 1cm=1000cm
than real area =200×1000²=200000000cm²
since
1 hectares =10000m²=10000×10000=100000000cm²
so
200000000cm²=2hectares
So,actual area of the piece of land in hectares is 2 hectares.
Determine whether the triangle with the given side lengths is acute,
right, obtuse or not a triangle 14,16,27
Answer:
this triangle is "obtuse
Step-by-step explanation:
Since sides 14 and 16 add up to 30, which is more than the third side, 27, we DO have a triangle here. The sides of lengths 14 and 16 form an angle greater than 90 degrees, and so this triangle is "obtuse." It's not a right triangle either, because the Pythagorean Theorem is not satisfied: 14^2 + 16^2 = 452, which is NOT 27^2.
"doNT Youu wiSH your GRaNDMa was hoT like Mee"
Answer: XD that was great
Determine the area of the rectangle. Write your answer as a decimal.
Answer: all you have to do is times length times width
which is 1 1/2x4 1/2 and then make it a decimal
Derek put 10 crickets in his pet lizard’s cage. After one day, Derek’s lizard had eaten 20% of the crickets he had put in the cage. By the end of the next day, the lizard had eaten 25% of the remaining crickets. How many crickets were left in the cage at the end of the second day?
Answer:
6 crickets
Step-by-step explanation:
First day: 20% of 10 is (.20)(10) = 2, so there were 10 - 2 = 8 crickets left.
Second day: 25% of 8 is (.25)(8) = 2, so there were 8 - 2 = 6 crickets left.
The scale factor of a model car is the actual car is 300. If the model car is 2 in tall, how all is the car
Answer:
600
Step-by-step explanation:
The length of the actual car is 600.
What is a scale factor?Scale factor is that it is a number that multiplies times a given quantity to produce a smaller or larger version of the original number. The ratio of any two corresponding lengths in two similar geometric figures.
For the given situation,
The scale factor of a model car = 2
The length of the model car = 300
The length of the actual car = [tex]300(2)[/tex]
⇒ [tex]600[/tex]
Hence we can conclude that the length of the actual car is 600.
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Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 14. What percentage of people has an IQ score greater than 114?
Answer:
15.87%
Step-by-step explanation:
We start with getting the z score
Mathematically , we have this as;
z-score = (x-mean)/SD
where x = 114
z-score = (114-100)/14 = 14/14 = 1
So we want to calculate the probability values that are greater than 1
We can use the standard normal distribution table
so we have P(z> 1) = 0.15866
in percentage, we multiply by 100 and that gives 15.866 which is 15.87 people
What shape has
4 equal sides and
No right angles
Answer:
Rhombus
Step-by-step explanation:
Answer:
The answer is a rhombus
Hope this helps!
Mark me brainliest?? :)
URGENT!!!!!!
Dan's car depreciates at a rate of 17% per year.
By what percentage has Dan's car depreciated after 4 years?
Give your answer to the nearest percent.
Answer:
an=yearn−year−0.17n+0.34
Step-by-step explanation:
Answer:
68%
Step-by-step explanation:
17% × 4
68%
In the diagram below of triangle GHIGHI, JJ is the midpoint of \overline{GI} GI and KK is the midpoint of \overline{HI} HI . If JK=-21+9xJK=−21+9x, and GH=-2x+18GH=−2x+18, what is the measure of \overline{GH} GH ? G H
Answer:
25.5
Step-by-step explanation:
2( -21+9x)=2x+18
-42+18x=2x+18
+42 +42
18x=2x+60
-2x -2x
16x=60
60/16=3.75
x=3.75
GH=2x+18
2(3.75)+18
7.5+18=25.5
GH=25.5
What is (1/2+i √3/2)^5?
Answer:
Hello! I know I am late but here is the answer for anyone else who might need it.
D. 1/2-i√3/2
Step-by-step explanation:
I got it right on edge. Hope this helps!
The value of given expression is [tex]\frac{1}{2}-\frac{\sqrt{3} i}{2}[/tex].
What is binomial theorem?
The expression of the form (a+b)^n is expand by binomial theorem.
The expansion is [tex](a+b)^{n}=\sum_{r=0}^{n}{ }^{n} C_{r} a^{n-r} b^{r}[/tex].
What is the value of given expression?Use a=1/2 and b=[tex]b=\frac{i\sqrt{3} }{2}[/tex] into the expansion of binomial.
[tex]\left(\frac{1}{2}+\frac{\sqrt{3} i}{2}\right)^{5}=\sum_{k=0}^{5}\left(\begin{array}{l}5 \\k\end{array}\right)\left(\frac{1}{2}\right)^{5-k}\left(\frac{\sqrt{3} i}{2}\right)^{k}[/tex]
When k=0 then, [tex]\left(\begin{array}{l}5 \\0\end{array}\right)\left(\frac{1}{2}\right)^{5-0}\left(\frac{\sqrt{3} i}{2}\right)^{0}=\frac{5 !}{(5-0) ! 0 !}\left(\frac{1}{2}\right)^{5-0}\left(\frac{\sqrt{3} i}{2}\right)^{0}=\frac{1}{32}[/tex]
When k=1 then, [tex]\left(\begin{array}{l}5 \\1\end{array}\right)\left(\frac{1}{2}\right)^{5-1}\left(\frac{\sqrt{3} i}{2}\right)^{1}=\frac{5 !}{(5-1) ! 1 !}\left(\frac{1}{2}\right)^{5-1}\left(\frac{\sqrt{3} i}{2}\right)^{1}=\frac{5 \sqrt{3} i}{32}[/tex]
When k=2 then, [tex]\left(\begin{array}{l}5 \\2\end{array}\right)\left(\frac{1}{2}\right)^{5-2}\left(\frac{\sqrt{3} i}{2}\right)^{2}=\frac{5 !}{(5-2) ! 2 !}\left(\frac{1}{2}\right)^{5-2}\left(\frac{\sqrt{3} i}{2}\right)^{2}=-\frac{15}{16}[/tex]
When k=3 then, [tex]\left(\begin{array}{l}5 \\3\end{array}\right)\left(\frac{1}{2}\right)^{5-3}\left(\frac{\sqrt{3} i}{2}\right)^{3}=\frac{5 !}{(5-3) ! 3 !}\left(\frac{1}{2}\right)^{5-3}\left(\frac{\sqrt{3} i}{2}\right)^{3}=-\frac{15 \sqrt{3} i}{16}[/tex]
When k=4 then, [tex]\left(\begin{array}{l}5 \\4\end{array}\right)\left(\frac{1}{2}\right)^{5-4}\left(\frac{\sqrt{3} i}{2}\right)^{4}=\frac{5 !}{(5-4) ! 4 !}\left(\frac{1}{2}\right)^{5-4}\left(\frac{\sqrt{3} i}{2}\right)^{4}=\frac{45}{32}[/tex]
When k=5 then, [tex]\left(\begin{array}{l}5 \\5\end{array}\right)\left(\frac{1}{2}\right)^{5-5}\left(\frac{\sqrt{3} i}{2}\right)^{5}=\frac{5 !}{(5-5) ! 5 !}\left(\frac{1}{2}\right)^{5-5}\left(\frac{\sqrt{3} i}{2}\right)^{5}=\frac{9 \sqrt{3} i}{32}[/tex],
Now we will add all the results to get the expansion of given expression,
[tex]\left(\frac{1}{2}+\frac{\sqrt{3} i}{2}\right)^{5}=\frac{1}{32}+\frac{5 \sqrt{3} i}{32}-\frac{15}{16}-\frac{15 \sqrt{3} i}{16}+\frac{45}{32}+\frac{9 \sqrt{3} i}{32}[/tex]
On simplifying,
[tex]\left(\frac{1}{2}+\frac{\sqrt{3} i}{2}\right)^{5}=\frac{1}{2}-\frac{\sqrt{3} i}{2}[/tex]
Therefore, the value of given expression is [tex]\frac{1}{2}-\frac{\sqrt{3} i}{2}[/tex].
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center (3,-2), radius =5
Answer:
(x-3^2+y+2^2 =25
Step-by-step explanation:
what is the length, in feet, of the hypotenuse of a right triangle with legs that are 6 feet long and 7 feet long, respectively
Answer:
9.22 feet
Step-by-step explanation:
To find the sides of a right triangle, we use the Pythagorean Theorem:
a² + b² = c²
a and b are each one side. c is the hypotenuse.
Let's plug in what we know.
a² + b² = c²
(6)² + (7)² = c²
Evaluate the exponents.
36 + 49 = c²
Add.
85 = c²
Take the square root of both sides.
√85 = √c²
√85 = c
9.22 = c
The hypotenuse is about 9.22 feet long.
Hope this helps!
Geometry questionnn!
Answer:
88 units
Step-by-step explanation:
[tex] In\: \triangle OBR \:\&\: \triangle OWN[/tex]
BR || WN (Given)
Therefore,
[tex] \angle OBR \cong \angle OWN[/tex] (Alternate angles)
[tex] \angle BOR \cong \angle WON[/tex] (Vertical angles)
[tex] \therefore \triangle OBR \sim \triangle OWN[/tex] (AA postulate)
[tex] \therefore \frac{OR}{ON} =\frac{BR}{WN} [/tex] (csst)
[tex] \therefore \frac{OR}{56} =\frac{24}{42} [/tex]
[tex] \therefore \frac{OR}{56} =\frac{4}{7} [/tex]
[tex] \therefore OR =\frac{4\times 56}{7} [/tex]
[tex] \therefore OR ={4\times 8} [/tex]
[tex] \therefore OR =32 [/tex]
RN = OR + ON
RN = 32 + 56
RN = 88 units
root 225 rational or irrational? plzz help urgent.
Connor makes 3 batches of muffins . Each batch has 12 muffins . Connor eats 2 muffins . What is m, the number of muffins Connor has left
Which equation describes this graph?
Answer: C ([tex]y = x - 3[/tex]).
Find the volume of the solid. Round your answer to the nearest tenth.
Answer:
31.71 mm
Step-by-step explanation:
#1: Find V of cube
(L)(W)(H) = V
(3)(3)(3) = V
27= V
#2: Find V of the half sphere.
3 (diameter) × π = 9.42 (rounded)
9.42/2 (since 9.42 is the volume for a whole sphere)
=4.71
#3: 4.71+27= 31.71
:)
Which line is parallel to the line y= x + 7 ?
Answer: y=x+
Step-by-step explanation:
In order for two lines to be paralell, their slopes must be the same but their y intercepts must be different. Therefore, any line that looks like y=x+ (anything but 7) will be paralell.
How many milliliters equal to 8.25 liters 
Answer: 8,500
Step-by-step explanation:
Answer:
8250 mL
Step-by-step explanation:
Multiply the volume value by 1000
Solve- 5x - 2(2x - 7) = 2(3x - 1) + [tex]\frac{7}{2}[/tex]
Pls help mehhh
Please help FIND DB.....
Margaret and Bethany have a lemonade stand for one week each summer.
Each day they spend $1.50 on the ingredients necessary to make 20 cups
of lemonade. They sell each cup of lemonade for $0.25. How much do the
girls, after expenses, earn on a day that they sell 18 cups of lemonade? *
$6.00
$4.50
$3.50
$3.00
Answer:
6.00
Step-by-step explanation:
Lesson 6 Homework Practice Select an Appropriate Display
A ladder is leaning against a building. Find the height at which the ladder is touching the building
Answer:
13.9 ft
Step-by-step explanation:
Since the triangle is a right triangle we can use pythagoreom theorm.
16^2=8^2+a^2 (a is the unknown side)
256= 64+a^2
192= a^2
Square root both sides and you get around 13.9 ft
A manufacturer makes decorative globes out of silver in the shape of a solid sphere. Suppose each sphere has a radius of 3 cm. If silver is priced at $7.00 per cm", how much will the silver cost to make one solid sphere?
Use 3.14 for , and do not round your answer.
Answer: [tex]\$791.28[/tex]
Step-by-step explanation:
Given
The radius of the sphere is 3 cm
Silver cost [tex]\$7[/tex] per [tex]cm^3[/tex]
The volume of a sphere is [tex]\frac{4\pi}{3}r^3[/tex]
Put the values
[tex]\Rightarrow \dfrac{4\pi}{3}\times 3^3\\\\\Rightarrow \dfrac{4\times 3.14}{3}\times 3\times 3^2\\\\\Rightarrow 113.04\ cm^3[/tex]
The price of this sphere is
[tex]\Rightarrow 113.04\times 7=\$791.28[/tex]
A 16 oz package of brown rice costs 79 cents and a 32 oz package of
brown rice costs $2.09. Which package is a better deal?
I have to get this done by tonight please help me!!
Answer:
The 16oz is a better deal
Step-by-step explanation:
32 = 2 * 16
buying 2 packages of 16 oz cost
0.79 * 2 = 1.58
1.58 < 2.09
The 16oz is a better deal
Answer:
The 16 oz package.
Step-by-step explanation:
Make the 16 oz a 32 oz so we can compare the prices
Mutiply 0.79 X 2 = 1.58
The 16 oz is because you can buy it twice making it a 32 oz for less than the orginal 32 oz.
(Compared side by side)
2.09 > 1.58
hope this helped!
Help please?
.........................
A car travels according to the table of value shown.what equation can be used to predict the distance (d) the car travels in the number of hours (h)
Answer:
Vajsjke
Step-by-step explanation:
ggzodxkdfdjhs
After takeoff, a plane flies in a straight line for a distance of 4000 feet in order to gain an altitude of 800 feet. Find the angle of elevation from the ground to the plane.
Need help please, thank you!
Answer:
The angle of elevation from the ground to the plane is 11.5 degrees
Step-by-step explanation:
Given -
Horizontal distance from the point of takeoff to which the plane flies in a straight line = 4000 feet
The vertical distance travelled from the ground to the plane is 800 feet
Angle of Elevation
[tex]Sin X= \frac{800}{4000} \\X = Sin^{-1}\frac{800}{4000}\\X = 11.5[/tex]
The angle of elevation from the ground to the plane is 11.5 degrees
4. What is the value of x in the equation 512x3 = 8?
A 3/4
B 3 1/4
C 4
D 1/4
Answer1/4 hope this help
Step-by-step explanation: