The perimeter of the isosceles right angled triangle whose one leg is of 3 ft is given by: Option C: 6 + 3√2 ft
It has two equal sides, and those two equal sides make 90 degrees (right angle) internally.
Referring to the figure, assuming:
Both equal sides are of length 'a' feetThe unequal side is of the length 'b' feet.Using the Pythagoras theorem, we get:
[tex]a^2 + a^2 = b^2\\\\a = b/\sqrt{2}[/tex]
It was given that length of one of the leg is of 3 ft. Leg of an isosceles triangle refers to one of its equal sides.
Thus, we got [tex]a = 3[/tex], and therefore, we have: [tex]a = b/\sqrt{2} \implies b = a\sqrt{2} = 3\sqrt{2}[/tex]
Thus, perimeter of the triangle as:
[tex]a + a + b = 2a + b = 6 +3\sqrt{2} \: \rm ft[/tex]
Thus, the perimeter of the isosceles right angled triangle whose one leg is of 3 ft is given by: Option C: 6 + 3√2 ft
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Answer:
C : 6 + 3√2 ft
Step-by-step explanation:
it is right
trust me
What is f(4) for the function f(x) = 2x + 5?
f(4) =
Answer:
f(4) = 13
Step-by-step explanation:
f(4) = 2(4)+5
f(4) = 13
Answer:
13
Step-by-step explanation:
f ( x ) = 2x + 5
To find : f ( 4 )
f ( 4 ) = f ( x )
Here,
x = 4
So,
f ( 4 ) = 2 ( 4 ) + 5
= 2*4 + 5
= 8 + 5
f ( 4 ) = 13
write an expression that is equivalent to 21h - 10h + 16 - 9 + 14h + 5 .
No links just the Answer please!!!
Answer:Its -3.5
Step-by-step explanation:
PLS HELP ME
Use the box-and-whisker plot to complete each of the following statements.
A)The median of Set A is approximately ___ the median of Set B.
Answers I can pick from: Half of, the same, twice
B) The range of Set B is approximately ___ the range of Set A.
Answers I can pick from: Half of, the same, twice
C) The interquartile range of Set A is ____ the interquartile range of Set B.
Answers I can pick from: Less then, greater then, the same
D. There is ____ overlap between the two data sets.
Answers I can pick from: some, much, little, like, no
To find the range, interquartile range, and median of the box plot, see the image attached below to use as a guide.
What is a Box Plot?A box plot consists of a rectangular box, a vertical line that divides the box, and two whiskers extending from the box.
The box plots being referred to in the question are missing, however, the diagram attached shows how to determine the values you will need in solving the question.
The median is represented by the vertical line that divides the rectangular box.
The range = max value - min value.
The interquartile range = the range of the rectangular box = Q3 - Q1.
In summary, to find the range, interquartile range, and median of the box plot, see the image attached below to use as a guide.
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Determine the scale factor for each reduction.
a) Quadrilateral B is a reduction of quadrilateral A.
b) Quadrilateral C is a reduction of quadrilateral A.
c) Quadrilateral B is a reduction of quadrilateral C.
Answer:
c
Step-by-step explanation:
Find the length of the third side. If necessary, round to the nearest tenth. 6 8 there also a right angle
Answer:
See below ↓
Step-by-step explanation:
Given side lengths :
68This question can be solved in two ways :
Taking the third side to be the hypotenuse (What you're probably looking for)Taking 8 to be the hypotenuse (Probably not needed, but good for understanding the various possiblities)Case 1
By Pythagorean Theorem, as right angle is mentioned :6² + 8² = x²x² = 100x = 10 [Your answer!]Case 2
6² + x² = 8²x² = 64 - 36x² = 28x = 2√7 [Just in case!]Hope it helps~
Can someone please HELP ME I HAVE A TEST TMRW I STUDIED BUT I FORGOT HOW TO DO THIS STUFF CAN SOMEONE EXPLAIN IT TO ME
Answer:
1. (a. 8 b. 3 d. 6,6,12 e. 3,3,9) 2. (a. 2,3 b. 4,5 c. 6,6,2,3 d. 5,3,5) 3. (a.2/3 b.1/3 c.2/3 f.1/2 g.7/8 h.4/5)
Step-by-step explanation:
OK this is quite simple. Just multiply the top and bottom, otherwise known as the numerators and denominators, by whatever is next to it. In this case, 1a is [tex]\frac{2*4}{5*4}[/tex].
That would result in [tex]\frac{8}{20}[/tex]
Hey there!
In order to multiply fractions, we should multiply the numerator of the 1st fraction by the numerator of the 2nd fraction.
Same with denominators.
Let's multiply these fractions.
2/5=2*4/5*4=8/20
2/3=2*6/3*6=12/18
1/4=1*3/4*3=3/12
3/4=3*3/4*3=9/12
now divide:
10/15=10:5/15:5=2/3
12/18=12:6/18:6=2/3
12/15=12:3/15:3=4/5
15/25=15:5/25:5=3/5
Now, simplify the following fractions:
4/6
divide the top & bottom by 2:
2/3
next:
5/10
divide the top & bottom by 5:
1/2
next
5/15
divide the top & bottom by 5:
1/3
next:
12/18
divide the top & bottom. by 6
2/3
next
5/10
divide the top & bottom by 5
1/2
next
14/16
divide the top & bottom by 2
7/8
and then last but not least
28/35
divide the top & bottom by 7
4/5
And we're done!
Hope everything is clear.
Let me know if you have any questions!
#LearningDoesn'tEnd
:-)
There are 100 cm in a meter. write an expression to find the number of centimeters in 8 meters.
Help me with this question plss
Answer:
800m
Step-by-step explanation:
If 100cm is equivalent to a meter (1 Meter). 8 Meters would be equivalent to 8 Meters multiplied by 100cm and divided by a meter (1 Meter)
Describe what happens to a figure when the given sequence of transformations is applied
to it: (x, y) → (-x, y); (x, y) → (0.5x, 0.5y); (x, y) → (x - 2, y + 2)
The transformation rule used are the reflection over the y-axis, dilation and vertical and horizontal shift.
Transformation of coordinatesThe translation rule for reflection of the coordinate point (x, y) across the y-axis is (-x, y)
The rule (x, y) → (0.5x, 0.5y) shows a dilation of the coordinate (x, y) by a factor of 0.5. It will reduce the size of the resulting figure since the factor is less than 1.
The rule (x, y) → (x - 2, y + 2) shows that the figure then shifted horizontally by 2units to the right and up by 2units.
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Quadrilateral abcd has vertices at a(0, 6), b(4, -1), c(-4, 0) and d(-8, 7). prove that:
(a) abcd is a rhombus using the distance formula
b) the diagonals of abcd are perpendicular
Answer:
Step-by-step explanation:
Make a number line and mark all the points that represent the following values of x. X≤2 or x<5
The inequalities x≤2 or x<5 are unequal expressions
The common points of both inequalities are {.......0,1,2}
What are inequalities?Inequalities are expressions that have unequal values
What are number lines?Number lines are lines that are used to represent numbers and expressions at regular intervals
How to determine the number line?The inequalities are given as;
x≤2 or x<5
This means that:
x is less than or equal to 2
And
x is less than 5
So, we have:
x≤2 = {.......0,1,2}
x<5 = {.......0,1,2,3,4}
The common points of both inequalities are:
x≤2 or x<5 = {.......0,1,2}
See attachment for the number line
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Anthony takes out a student loan to pay for his college tuition this year. Find the interest on the load if he borrowed $6,000 at an annual interest rate of 6% for 15 years
Answer:
the interest would be $5,400 after 15 years
Find base of triangle on coodinate plane 8,2 and 6,2
Answer:
The base of this triangle is 2 units wide
Step-by-step explanation:
Your explanation is in the picture shown below!!!
troy organizes a samll party there are 30 glasses of drinks at the party 20 of which contain an orange flavored drink what is the probability that a randomly selected drink will be orange flavored
Answer:
66(2/3) %
Step-by-step explanation:
There are 30 possible outcomes because there are 30 cold drinks.
The Probability of orange flavored 20/30 = 2/3 = 0.6666....
66.6666....%= 66(2/3) %
Scale word problem
Someone please help!!
Answer:
60.6 cm length
43.2 cm width
Step-by-step explanation:
The scale is 1 m = 6 cm
Take the length in meters, multiply it by 6, and change the unit to cm.
10.1 m becomes 10.1 × 6 cm = 60.6 cm
7.2 m becomes 7.2 × 6 cm = 43.2 cm
A cylinder and a cone have the same volume. The cylinder has a diameter of 4 inches and a height of 3 inches. The cone has a diameter of 6 inches. What is the height of the cone?
We are given a cylinder and a cone of same volume i.e
[tex] \longrightarrow[/tex] Volume of cone = Volume of cylinder
And also the diameter of the cylinder is given 4 inches
[tex] \longrightarrow[/tex] Radius = [tex]\sf \dfrac{Diameter}{2}[/tex]
[tex] \longrightarrow[/tex] Radius = [tex] \sf\dfrac{4}{2}[/tex]
[tex] \longrightarrow[/tex] Radius = 2 inches
The height of cylinder is 3 inches. And the diameter of the cone is 6 inches
[tex] \longrightarrow[/tex] Radius = [tex]\sf\dfrac{Diameter}{2} [/tex]
[tex] \longrightarrow[/tex] Radius = [tex] \sf\dfrac{6}{2}[/tex]
[tex] \longrightarrow[/tex] Radius = 3 inches
First, let us recall the Formulas of volume of cylinder and cone:
[tex] \quad\longrightarrow\quad \sf {Cone = \dfrac{1}{3}\pi r^2 h }[/tex]
[tex] \quad\longrightarrow\quad \sf {Cylinder = \pi r^2 h }[/tex]
Now, we know that the volume of cone is equal to the volume of cylinder
[tex] \implies\quad \sf{\dfrac{1}{3}\pi r^2 h = \pi r^2 h }[/tex]
On putting the values:
[tex] :\implies\quad \sf{\dfrac{1}{3}\pi \times 3^2 \times h = \pi \times 2^2 \times 3 }[/tex]
[tex] :\implies\quad \sf{\dfrac{1}{\cancel{3}}\times 3.14 \times\cancel{ 9 }\times h = 3.14 \times 4 \times 3 }[/tex]
[tex] :\implies\quad \sf{3.14 \times 3 \times h = 3.14 \times 12 }[/tex]
[tex]: \implies\quad \sf{ h = \dfrac{ \cancel{3.14} \times 12 }{ \cancel{3.14} \times 3} }[/tex]
[tex] :\implies\quad \sf{ h =\cancel{ \dfrac{12}{3}}}[/tex]
[tex] :\implies\quad \underline{\underline{\pmb{\sf{h = 4 inches }}} }[/tex]
ㅤㅤㅤㅤㅤ~Hence the height of the cone is 4 inches.
I’m thinking trapezoid and rhombus but I don’t know
Find the total amount
$20,700 at 9% compounded
semiannually for 4 years
Answer:
41,246.046 which could be rounded to .05 cents at the end.
Step-by-step explanation:
[tex]20700(1.09)^8[/tex]
we use this equation since we are working with interest, and we are compounding interest twice per year, for 4 years or 8 times.
hope this helps, please rate and mark as brainelst.
Matt says that 5 - 1 1/4 will be more than 4, since 5 1 is 4. Draw a picture to prove that Matt is wrong.
Answer:
Step-by-step explanation:
Start by drawing five rectangles. Divide each of the five into four parts. You should have 20 sections. 1 1/4 is equal to 5/4, or five 1/4 pieces. Shade or erase five of the 20 sections. There should be 15 left. 15/4 is 3.75, or 3 3/4, which is less than four.
Hope this helps!
use prime factorisation to find the hcf of 612 and 1314
Answer:
Step-by-step explanation:
612: 2*2* 3 * 3 * 17
1314: 2* 3 * 3 * 73
The highest common factor is 2 * 3 * 3 = 18
17 and 73 are both prime, so the factoring stops there.
(x+2)(x+7) Write in simplified form
Answer:
x^2+9x+14
Step-by-step explanation:
x×(x+7)+2×(x+7)
x^2+7x+2x +14
x^2+9x+14
what is the answer to this problem (8+2)³-6
Answer:
994
Step-by-step explanation:
(8+2) = 10
10^3 = 1000
1000 - 6 = 994
Answer:
994
Step-by-step explanation:
(8+2)³-6
10³-6
1000-6
994
Hope that helps!
You pick a card at random, put it back, and then pick another card at random.
What is the probability of picking a number less than 4 and then picking an odd number?
Answer:
2/9Step-by-step explanation:
All numbers:
2, 3, 4 → 3
Numbers less than 4:
2 and 3 → 2
Odd number:
3 → 1
The probability of picking a number less than 4:
2/3The probability of picking an odd number:
1/3The probability of picking a number less than 4 and then picking an odd number:
2/3 · 1/3 = 2/9It is 35 Celsius in Miami and 75 Fahrenheit in Chicago. Which town is warmer?
Answer:
Miami
Step-by-step explanation:
First, you can either convert Miami's temperature to farenheit, or convert Chicago's temperature to celcius.
I will convert Miami's temp, to farenheit:
[tex]F=\frac{9}{5}C\°+32 < ==divide\\\\F=1.8C\°+32 < == substitute\ 35\° for\ C\\\\F=1.8(35)+32 < ==multiply\\\\F=63+32 < ==add\\\\F=95\°[/tex]
Miami: 95°F
Chicago: 75°F
Therefore, Miami is the warmer town.
Hope this helps!
Consider the first 4 transactions in this check register. For what check number did a mistake occur in calculating the balance when the check amount qas debited from the register
A check register is also known as a cash disbursements journal, is a document that holds the record of all of the check and cash transactions that one's business has for an accounting period.
What kind of transactions are recorded in a Check Register?The kind of transactions that are recorded in a Check Register or a Cash Disbursement Journal are:
Do note that the register referenced in the questions is unavailable hence the general answer.
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Part A: Describe a transformation (or series of transformations) that one could do to get from the
original to image below. Be as specific as possible.
Part B: Are these figures congruent? how do you know?
Quadrilateral ABCD was rotated 180 degrees about the origin to form A'B'C'D. The two figures are congruent to each other.
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
Quadrilateral ABCD was rotated 180 degrees about the origin to form A'B'C'D. The two figures are congruent to each other.
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4 1/5 tons = how many ponds
Answer:
Step-by-step explanation:
21/5*2000= 21*400= 8,400 pounds
Answer:
[tex]\displaystyle 8400\:lbs.[/tex]
Explanation:
On United States Imperial [Customary] System, there is one ton in two thousand pounds. So, because we are going from a bigger unit of measurement to a smaller unit of measurement, we multiply the quantity of tons by two thousand:
[tex]\displaystyle \boxed{8400} = 2000[4\frac{1}{5}][/tex]
I am joyous to assist you at any time.
Area = 120 units squared
Base = 8 units
Length = ? (Include the units in your answer)
Answer:
15
Step-by-step explanation:
Okay, so we know that Base*Length=Area, so we just have to divide the area by the base, so the formula here is Area/Base=Length.
That would get us 120/8=Length,
and if we just divide 120 by 8 we get 15, so the length is 15
Translate the following phrase to an expression: the difference between twenty and twice a number.
Answer:
20 - 2n
n = a number
An angle of measure [tex]\frac{4\pi }{3}[/tex] intersects the unit circle at point ([tex]-1/2,- \frac{\sqrt{3} }{2}[/tex]). What is the exact value of tan([tex]\frac{4\pi }{3}[/tex])?
a. -1/2
b. [tex]\sqrt{3[/tex]
c. [tex]\frac{\sqrt{3} }{3}[/tex]
d. [tex]-\frac{\sqrt{3} }{2}[/tex]
Answer:
b. √3
Step-by-step explanation:
Given a point on the unit circle that represents the position of the terminal ray of an angle, the tangent of that angle is the ratio of the y-coordinate to the x-coordinate.
tan(4π/3) = y/x = (-√3/2)/(-1/2) = √3/1
tan(4π/3) = √3
_____
Additional comment
A calculator can confirm this for you.