Answer:
[tex]4x\sqrt{26}[/tex].
Step-by-step explanation:
Given information:
[tex]Leg_1=4x[/tex]
[tex]Leg_2=20x[/tex]
According to the Pythagoras theorem,
[tex](hypotenuse)^2=(Leg_1)^2+(leg_2)^2[/tex]
Using Pythagoras theorem, we get
[tex](hypotenuse)^2=(4x)^2+(20x)^2[/tex]
[tex](hypotenuse)^2=16x^2+400x^2[/tex]
[tex](hypotenuse)^2=416x^2[/tex]
Taking square root on both sides.
[tex]hypotenuse=\sqrt{416x^2}[/tex]
[tex]hypotenuse=4x\sqrt{26}[/tex]
Hence, the expression of the hypotenuse is [tex]4x\sqrt{26}[/tex].
Final answer:
To determine the hypotenuse of a right triangle with legs measuring 4x and 20x, the Pythagorean theorem is applied, resulting in an expression for the hypotenuse as 20.4x.
Explanation:
To find an expression for the hypotenuse of a right triangle with legs of length 4x and 20x, we can apply the Pythagorean theorem, which is written as a² + b² = c², where a and b are the lengths of the legs, and c is the length of the hypotenuse. Solving for c, we get c = √(a² + b²). Plugging in the lengths of our legs, we have:
c = √((4x)² + (20x)²)
c = √(16x² + 400x²)
c = √(416x²)
c = 20.4x
This suggests that the expression for the hypotenuse of the right triangle is 20.4x.
For a class project, a teacher cuts out 15 congruent circles from a single sheet of paper that measures 6 inches by 10 inches. How much paper is wasted?
Answer:
60 – 15π square inches
Step-by-step explanation:
Assuming a diameter of 2 inches for each circle, then because the height of the sheet is 6 inches and the length is 10 inches, 5 columns of 3 circles each, are formed (see picture attached).
The area of each circle is: (π*D^2)/4 = (π*2^2)/4 = π square inches
The area of the 15 circles is: 15π square inches
The area of the sheet is = 6*10 = 60 square inches
The wasted paper is equal to the difference between the area of the sheet and the area of all circles, that is, 60 – 15π square inches
Answer:
60 – 15π square inches
Step-by-step explanation:
A circle has a central angle that measures 23º and the arc length is 12pi. Find the measure of the radius in radians. Round answers to nearest hundredth.
Answer:
The radius of the circle is 93.91
Step-by-step explanation:
In order to calculate the radius of this circle we can apply the formula to find the arc length. This formula is shown below:
length = [(angle)*pi*radius]/180
Since we want to find the radius we can isolate that variable, as shown:
(angle)*pi*radius = length*180
radius = (length*180)/(angle*pi)
radius = (12*pi*180)/(23*pi) = (12*180)/23
radius = 93.91
Slope is found by dividing the change in ____ by the change in ____. x; y y; x
Answer:
Change in Y by the Change in X.
Step-by-step explanation:
Slope can be found by dividing the rise (change in y) by the run (change in x).
[tex]m =\frac{rise}{run} = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Answer: y;x
Step-by-step explanation: USATESTPREP
You’re welcome :)
What is the area of the figure? 6-sided concave polygon with side with 40 inches, 10 inches, 22 inches, 40 inches, 18 inches, and 50 inches. 180 square inches 190 square inches 1200 square inches 1120 square inches
Answer:
1120 square inches or OPTION D
Step-by-step explanation:
40 × 50 = 2000
(50 - 10) × (40 - 18) =
40 × 22 = 880
2000 - 880 = 1120
What is the upper quartile in the box plot? A box-and-whisker plot. The number line goes from 100 to 125. The whiskers range from 104 to 125, and the box ranges from 107 to 122. A line divides the box at 119.
Answer: cncnnc
Step-by-step explanation:
true false no my
Answer:
Ya'll the answer is 122
Step-by-step explanation:
I checked in with the AI helper and he would always help me, also I got the answer from the AI.
:) hope this helps
and if your ever stuck on a question,
Ginny the AI will come to help u Byeeeee :D
1) The local fire company is having a raffle to raise money for Fourth of July fireworks. They
will sell one thousand tickets at $10 each. They will award one first prize of $300, one second
prize of $150, and one third prize of $50. The other tickets will win nothing. What is the
expected value of a ticket?
O
- $0.50
O $300.00
O $9.50
O - $9.50
Answer:
negative - $9.50
Step-by-step explanation:
The expected value of a ticket of the local fire company given the price and the expected values is $-9.50.
What is the expected value?
The expected value is the sum of the prizes added to the cost.
Expected value = value of the prizes - cost
(300 + 150 + 50 + 0) - (10 x 1000)
500 - 10,000
- 9500
Expected value of a ticket = - 9500 / 1000 = -9.50
To learn more about addition, please check: https://brainly.com/question/349488
t/(5/12)=(-3/10)
what is t ???
Answer:
t = - [tex]\frac{1}{8}[/tex]
Step-by-step explanation:
Given
[tex]\frac{t}{\frac{5}{12} }[/tex] = - [tex]\frac{3}{10}[/tex]
Multiply both sides by [tex]\frac{5}{12}[/tex]
t = [tex]\frac{5}{12}[/tex] × - [tex]\frac{3}{10}[/tex] ← cancel 5 and 10 by 5 and 3 and 12 by 3, leaving
t = [tex]\frac{1}{4}[/tex] × - [tex]\frac{1}{2}[/tex] = - [tex]\frac{1}{8}[/tex]
Alex puts his spare change in a jar every night. If he has $11.09 at the end of January, $22.27 at the end of February, $44.35 in April, $75.82 in July, $89 in August, and $114.76 at the end of October, perform a linear regression on this data to complete the following items. What does the value of the correlation coefficient tell you about the correlation of the data? Write the equation of the best-fitting line. On average how much money does Alex add to the jar each month? Alex wants to buy a video game console at the end of December for $140. Will he have enough for this purchase. Show equation. THANK YOU!
the answer is about $22 each month and no he will not have enough
Asphere and a cylinder have the same radius and height. The volume of the cylinder is 18 cm3.
What is the volume of the sphere?
Answer:
6
Step-by-step explanation: Hi the answer is 6 because a cylinder is 3 times a cone so the cylinder divided by 3 would be your answer
2.65 multiply by 100
Answer:
265
Step-by-step explanation:
Answer:
265
Step-by-step explanation:
gimme brainliest plz
5. Cameron is 48.6 inches tall and
Kellen is 50 inches tall. How
much taller is kellen?
Answer:
the answer is 1.4 inches taller
Step-by-step explanation:
Kayla randomly surveyed the eight-grade classes at her school and found that 12 out of 50 own a pet. Based on these data, how many of the 150 eight-grade students in kayla’s school would be expected to own a pet?
Answer: The answer should be 36
Answer:
36 students
Step-by-step explanation:
Set up a proportion
12/50=x/150
Cross multiply
50x=1800
Divide by 50 on both sides
x=36
So 36 out of 150 8th grades students would be expected to own a pet
Hope this helps! :)
Graph the line x = -3
Answer:
Draw a vertical line passing through (-3,0)
At the time of her grandson’s birth, a grandmother deposits $13,000 in account that pays 2.5% compounded monthly. What will be the value of the account at the child’s twenty-first birthday, assuming that no other deposits or withdrawals are made during this period
Answer:
19, 300 i think thats correct im sorry if not
Step-by-step explanation:
d equals 0.5+ 5T do you equals distance in miles and T equals time what are the independent and dependent variables
Answer:
Jillian walked 0.5 miles before she started jogging at an average pace of 5 miles per hour. The equation d = 0.5 + 5t can be used to relate the total distance, ...
Step-by-step explanation:
What is the volume (in cubic feet) of the composite shape rounded to the nearest whole number.
https://lh4.googleusercontent.com/vUIfZHaKxbdifO93idzlasRKfEgvrv14A-EqM3jgStNqNpMzpBqIf2mI5R_S4juEGlQnyVlZfDxjJFMkbmYu5Gt7LyBl241M1XtOtKLHXRidvyOygtO4tvdkcTuU=w147
Answer:
109.956
Step-by-step explanation:
Formula for Volume of Cylinder: V = (pi)r^2H
84.823 + 25.133 = 109.956 (in cubic feet)
Sarah has 10 apples and 2 go missing. How many does she have now?
Answer:
8
Step-by-step explanation:
10 take away 2 is 8.
Round to the nearest ten thousand and then subtract
Rozwiąż poniższe równanie.
Egzamin składał się z 20 pytań za każdą dobrą odpowiedź można otrzymać 7 punktów, a za złą traciło sie 2 punkty. Filip odpowiedział na wszystkie pytania zdobywając 104 punkty. Na ile pytań udzielił błędnej odpowiedzi?
Answer:
18
Step-by-step explanation:
Answer:18 bo 20*7=140 140-104=36 36:2=18
Step-by-step explanation:
Round your answer to the nearest hundredth.
Answer:
8.06
Step-by-step explanation:
A² + B²= C²
4² + B² = 9²
16 + B² = 81
B² = 81 - 16
B² = 65
B = [tex]\sqrt65[/tex]
B = 8.06225775
Rounded = 8.06
Answer: 26⁰
Step-by-step explanation:
I hope this help
How would you dilate the point (-3,2) by a scale factor of 1/2
you would multiply each value by the scale factor
What is the slope of each line? Line A: y = negative 5 x minus 2 Line B: y = 2 x + 3 The slope of line A Equals negative 5. The slope of line B Equals 2. The slope of line A Equals negative 2. The slope of line B Equals 3. The slope of line A Equals 5. The slope of line B Equals negative 2. The slope of line A Equals 3. The slope of line B Equals negative 2.
Answer:
A. -5, 2
Step-by-step explanation:
I got it right.
The slope of line A equals negative 5 and the slope of line B equals 2. Then the correct option is A.
What is the equation of line?The equation of line is given as
y = mx + c
Where m is the slope and c is the y-intercept.
The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.
The equations of line are given below.
Line A: y = –5x – 2
Then the slope of the line A will be
Slope A = –5
Line B: y = 2x + 3
Then the slope of the line B will be
Slope A = 2
The slope of line A equals negative 5.
The slope of line B equals 2.
Then the correct option is A.
More about the equation of line link is given below.
https://brainly.com/question/21511618
#SPJ2
22. There are 31 girls and
25 boys in the marching band. When
the band marches, they are in 7 rows.
How many people are in each row?
Answer:
8
Step-by-step explanation:
To solve this problem, you need to divide the total number of people the by the amount of rows you have to see how many people can fit in each row.
With 31 girls and 25 boys, you have a total of 56 people. Divide 56 by 7 to get 8.
You will have 8 people in each row.
Answer:
8 people.
Step-by-step explanation:
31 + 5 = 36. 36 + 20 = 56.
56 divided by the number of rows which is 7 in this case = 8.
There will be 8 people per row. Consisting of males and females.
P.S
Have an Amazing Day, I Hope this Helps and Good Luck!!
-Faker/Tosrel
15) Solve. −x2 = 2x − 15 A) x = 3, x = 5 B) x = −3, x = 5 C) x = 3, x = −5 D) x = −3, x = −5
Answer:
x=-5 x=3
Step-by-step explanation:
−x2 = 2x − 15
Add x^2 to each side
x^2−x2 =x^2+ 2x − 15
0 = x^2+ 2x − 15
Factor
What two numbers multiply to -15 and add to 2
5*-3 = -15
5-3 =2
(x+5) (x-3) =0
Using the zero product property
x+5 =0 x-3=0
x+5-5=0-5 x-3+3=0+3
x=-5 x=3
whats the solution to the model below?
X=3
x=1
x=2
x=7
Answer:
[tex]2x + 4 = 10[/tex]
[tex]2x = 6[/tex]
[tex]x = 3[/tex]
Examples of irrational numbers
Answer:
1.375, 2/5, 0.06, etc.
Step-by-step explanation:
Basically anything that is not a whole number.
lol2
Where's the Lie?
Here are three statements that Tiana wrote about this
exponential
One of the statements is a lie. Which is it?
A. For very large values of x, the exponential has very large
values of y.
OB. The y-intercept of the exponential is (0,1).
C. The point (-2,4) is on the exponential.
Explain how you know it's a lie.
Answer:
A.
Step-by-step explanation:
As the x value is increasing the y is decreasing because the graph shows exponential decay.
The graph of a simple exponential function always pass through (0,1)
The statement that is a lie is (a) For very large values of x, the exponential has very large values of y.
From the graph, we have the following highlights
The graph passes through point (0,1); this means that the y-intercept is (0,1).The graph passes through (-2,4)The above highlights mean that options (b) and (c) are true, while option (a) is a lie
Option (a) is a lie because, as the value of x increases, the value of y increases.
Read more about exponential functions at:
https://brainly.com/question/11487261
An icicle is in the shape of an inverted cone with a diameter of 9 mm and a height of 27 mm. In cubic millimeters, how much frozen water is in the icicle? Use 3.14 for . Round your answer to the nearest hundredth.
Answer:
volume ≈ 572.27 mm³
Step-by-step explanation:
The icicle is in the shape of an inverted cone with a diameter of 9 mm and a height of 27 mm. To find how much in cubic millimetres the frozen water is in the icicle can be calculated below.
In other words the question want us to find the volume of the cylinder. The volume of the cone can be represented as follows:
volume of a cylinder = 1/3πr²h
where
r = radius
h = height
diameter = 9 mm
height = 27 mm
r = diameter/2 = 9/2 = 4.5
volume = πr²h
volume = 1/3 × 3.14 × 4.5² × 27
volume = 1/3 × 3.14 × 20.25 × 27
volume = 1/3 × 63.585 × 27
volume = 1716.795/3
volume = 572.265 mm³
volume ≈ 572.27 mm³
Answer:
572.27 mm³
Step-by-step explanation:
A sphere is cut into 8 congruent pieces. The radius of the sphere is 8 centimeters. One piece is shown in the diagram. What is the surface area of one piece of the sphere, as shown in the diagram? Express the answer in terms of π. 64π cm2 80π cm2 256π cm2 384π cm2
Answer:
B. 80pi cm^2
Step-by-step explanation:
Answer:
Option number 2
Step-by-step explanation:
In the circle below, diameter CD is perpendicular to chord AB as shown. Radii OB and OA are drawn.
(a) How could we prove that OEB is congruent to OEA? Explain.
(b) What does your answer tell you must be true about segments AE and BE ? Why?
(c) If the diameter of circle O is 20 and CE 4, then determine the length of AB . Show how you arrived at your answer.
Answer:
The length of AB is 16 units.Step-by-step explanation:
(a)We know that [tex]\angle OEB = 90\°[/tex], by given, so it's a right angle, by definition.
[tex]\angle OEA[/tex] and [tex]\angle OEB[/tex] are adjacent angles on a straight angles. That means they are sumplementary angles by definition.
[tex]\angle OEA + \angle OEB = 180\°\\ \angle OEA = 180\° -90\°\\\angle OEA = 90\°[/tex]
Therefore, [tex]\angle OEA = \angle OEB[/tex].
(b)Sides AE and BE are congruent, because the congruence between those right angles, and the congruence between the other corresponding sides justify the congruence between sides AE and BE.
Notice that the hypothenuses of each right triangle are congruent, because they are also radius of the circle, which means they are congruent by definition.
Additionally, side OE is a common leg for both right triangles.
Therefore, sides AE and BE are congruent.
(c)We know that [tex]d=20[/tex] and [tex]CE=4[/tex], that means the radius is
[tex]r=\frac{d}{2}=\frac{20}{2}=10[/tex]
Notice that the chord AB is formed by AE and BE by sum of segments.
We know the hypothenuses are equal to 10 units of length, because they are radius.
Additionally,
[tex]OC=OE+EC[/tex], by sum of segments.
[tex]10=OE+4\\OE=10-4\\OE=6[/tex]
Which means the common leg is 6 units long.
Now, we use the Pythagorean's theorem to find the missing leg
[tex]OB^{2}=EB^{2}+OE^{2}\\ 10^{2}=EB^{2}+6^{2}\\100-36=EB^{2}\\EB=\sqrt{64}\\ EB=8[/tex]
But, [tex]AB=AE+EB[/tex], by sum of segments.
[tex]AB=8+8=16[/tex], because [tex]AE=EB[/tex] we said before.
Therefore, the length of AB is 16 units.