Answer:
288 ft.
Step-by-step explanation:
With each pedal turn, the tire rotates 3.4 times. Thus, to answer this question we multiply the circumference of the wheel by 3.4:
3.4(27 in)(π) = 288 feet
Write the fact family that
can be made from these
digits.
5 6 11
Answer:
5+6=11
11-6=5
11-5=6
Step-by-step explanation:
what is the equation of the circle with center (5,-4) and containing the points (5,-2)
Answer:
The equation of a circle is [tex](x-5)^2+(y+4)^2=4[/tex] .
Step-by-step explanation:
-The equation of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex] (where center is [tex](h,k)[/tex], the point [tex](x_{1},y_{1})[/tex] and the radius known as [tex]r[/tex]).
-Use the center (5,-4) and the point (5,-2) for the equation:
[tex](5-5)^2+(-2+4)^2=r^2[/tex]
-Solve the equation:
[tex](5-5)^2+(-2+4)^2=r^2[/tex]
[tex]0 + (-2)^2=r^2[/tex]
[tex]4 = r^2[/tex]
[tex]\sqrt{4} = \sqrt{r^2}[/tex]
[tex]2 = r[/tex]
-After you found the radius, use the center (5, -4) and radius 2 to get the equation of a circle:
[tex](x-5)^2+(y+4)^2=2^2[/tex]
-Then, after you have the equation, the radius needs to simplified by the exponent:
[tex](x-5)^2+(y+4)^2=4[/tex]
3. What are the lateral area and the surface area of the cone shown below? Round the answers
the nearest tenth. The figure is not drawn to scale.
12 ft
21 ft
LA = 452.4 ft?; SA = 2,598.8 ft?
LA = 452.4 ft?; SA = 1,244.1 ft2
LA=791.7 ft?; SA = 2,598.8 ft2
OLA = 791.7 ft2, SA = 1,244.1 ft2
Answer:
option 4
Step-by-step explanation:
LA = πrl
Here, l ----> slant height
l= 21 ft
r = 12 ft
LA = 3.14*12*21 = 791.7 square ft
SA = πr(l + r)
= 3.14*12 *(12+21)
=3.14* 12 * 33
= 1244.1 square ft
Write and solve the following problem
Please do it step by step!
4(x-9)-2x=-3x+14
sorry for the stupid answer my b
Answer:
X=-50
Step-by-step explanation:
4(x-9)-2x=3x+14
4x-36-2x=3x+14
2x-36=3x+14
-x-36=14
-x=50
-x divided by 50 makes the x postive & the 50 negative
de
considerando AB =PQ. Na figura abaixo, para que os triângulos ABC e PQR sejam congruentes, os
valores de xe y devem ser
Y-3
2x + 1
Q
R
A) x = 2 e y = 12
B) x = 4 e y = 8
C) x = 5 e y = 2
D) x = 6 e y = 8
Answer:
The answer might be d.
Which of these ordered pairs are points on the graph of y= -5x+2?
a) (4, -22)
b) (-2,-8)
c) (-1, 7)
d) (1,3)
Answer:
Once again idk
Step-by-step explanation:
honestly it don't matter cuz the test is done :)
What is the length of MN?
Answer:the length of MN is6 units
Step-by-step explanation:
It is correct
what is a measure of an angle between the perpendicular
bisectors of two adjacent sides of a regular polygon 3
Sides ?
Answer:
2/5*180=72
360/72=5
as simple as that you just need to read on polygons
Step-by-step explanation:
pls give me brainlyist
what is the answer ?
Answer:
V = 3 x 14 x 6 1/4 = 3 x 14 x 25/4 = 1050/4 = 525/2 = 262 1/2 ft
=> Option D is correct
Hope this helps!
:)
Answer:
[tex] 262 \frac{1}{2} \: {ft}^{3}[/tex]
Step-by-step explanation:
[tex]l = 14 \: ft \: \: \\b = 6 \frac{1}{4} \: ft = \frac{25}{4} \: ft \: \: \\h = 3 \: ft \\ \\ V_{rectangular \: prism} = lbh \\ = 14 \times \frac{25}{4} \times 3 \\ = \frac{1050}{4} \\ = 262 \frac{1}{2} \: {ft}^{3} [/tex]
Which complex number has a distance of the square root of 17 from the origin on the complex plane?
Hey there! I'm happy to help! :D
-------------------------------------------------------------------
OVERVIEW
A complex number is a real number combined with an imaginary number (such as i, a number that will equal -1 when squared).
The complex plane is an interesting thing we use to graph complex numbers. The horizontal axis is where you plot the real part of the complex number, and the y-axis is where you plot the coefficient of the imaginary number.
For example, if I had the complex number 4+3i, I would plot the point (4,3) on the complex plane.
-------------------------------------------------------------------
MODULI
The modulus (plural is moduli) is the distance of a complex number from the origin on the complex plane. To find the modulus, you take the real number and the coefficient (basically the points of your graph), square them, add the results, and then you find the square root of that! Here's a little checklist so that you can always find the modulus of any complex number!
STEPS TO FIND MODULUS GIVEN COMPLEX NUMBER
STEP 1: PLOT THE COMPLEX NUMBER
Let's use our complex number 4+3i. If we plot it, the point will be (4,3)
STEP 2: TAKE YOUR VALUES OF X AND Y AND SQUARE THEM
4²=16
3²=9
STEP 3: ADD THESE SQUARES
16+9=25
STEP 4: SQUARE ROOT IT
√25=5
Therefore, the modulus (distance from the origin on the complex plane) of 4+3i is 5.
-------------------------------------------------------------------
SOLVING THE PROBLEM
In our case, we are given a modulus but not a point on the line. Our modulus is the square root of seventeen. We are going to have to the steps to find the modulus backwards to find our points. I will put the steps for finding a complex number given the modulus below.
STEPS TO FIND COMPLEX NUMBER GIVEN MODULUS
STEP 1: SQUARE THE MODULUS
√17²=17
STEP 2: FIND THE SQUARES THAT MAKE UP THE NUMBER
Before, we could just add things we found. Now, we have to find the things that were added! How do we know what things were added to find 17? Well, we know that we added two squares to find the modulus, so we will subtract a square of some sort and hopefully come up with another square.
Let's see what squares exist that are less than seventeen.
1, 4, 9, 16
(Note that one is 1², 4 is 2², 9 is 3², and 16 is 4²)
Which of these can we add to get 17?
Well, we can do 1 and 16, so this is our result so far.
STEP 3: SQUARE ROOT THE RESULTS
Now, we just find the square roots of what we found in the last problem!
√1=1
√16=4
STEP 4: PLOT THE GIVEN NUMBERS ON THE PLANE AND FIND THE COMPLEX NUMBER
We can plot these either way because the modulus of 1+4i will be the same distance from the origin as 4+i because we only use the commutative property (adding order doesn't matter) when looking for the modulus. You can also have the negative version of either number because you immediately square it, so it can also be -4+i or 4-i! You can also rearrange the equation in tons of ways to figure it out. You could also have both be negative, flip the coefficient placement, etc.!
-------------------------------------------------------------------
SOLUTION
Therefore, the complex numbers that have a distance of √17 from the origin on the complex plane are ±4±i and ±1±4i. So, why did I write all of these funny plus and minus signs? Well, it's so that I didn't have to write all of the possible equations. I believe those equations actually represent 8 possible points we can create with the solution we got.
4+i
-4+i
4-i
-4-i
1+4i
-1+4i
1-4i
-1-4i
You can plug these complex numbers back in and find the modulus with my instructions to find the modulus given a complex number. Now, you will be able to deal with moduli and complex numbers for the rest of your life!
I hope that this helps! Have a wonderful day! :)
The diameter of a circle measures 30mm. What is the circumference of the circle. Use 3.14 for pie
Matt is cutting quilt squares measuring 3 inches on each side. He wants to use them to make a rectangular wall hanging measuring 1 yard by 212 feet. How many quilt squares does he need?
Answer:
Matt will need 10176 square quilts to cover the wall
Step-by-step explanation:
To answer this perfectly, we will have to first convert everything to the same unit.
dimensions of the quilt squares = 3 inches
Length of the wall = 1 yard = 36 inches
Breadth of the wall = 212 feet = 2544 inches.
The next step, is to find the area of the wall that Matt is covering.
Area of wall = length X breadth = 36 X 2544 = [tex]91584in ^{2}[/tex]
We will also find the area of the square quilts. This is given as length X length = [tex]3^{2}[/tex]=[tex]9 in^{2}[/tex]
to get the number of square quilts that will cover that area, we will have to divide the area of the wall by the area of the quilts
= 91584 /9 = 10176 quilts
Matt will need 10176 quilts to cover the wall
Beth drinks one-quarter of a gallon of milk every 2 days. If she continues to
drink the same amount every day, what is her weekly rate of consumption?
Answer:
1 gallon and 1 quarter
Step-by-step explanation:
Christopher drove 199.5 miles in 3.5 hours. If he drove at a constant speed, how far did he drive in one hour? *
Answer:
57 miles
Step-by-step explanation:
Answer:
57 miles
Step-by-step explanation:
divide 199.5/3.5 and you will get 57 miles
5:3. If there are 18 more boys than girls, work out how many people there are in total.
Answer:
72
Step-by-step explanation:
Since there are 18 more boys than girls, we know that in the ratio 5:3, 5 is for boys and 3 is for girls.
Now, we can set up a proportion to first find the number of girls.
Let's name the number of girls x.
The number of boys is x+18.
3/5=x/x+18
Cross multiply.
5x=3(x+18)
Distribute.
5x=3x+54
Subtract 3x from both sides.
2x=54
Divide both sides by 2.
x=27
There are 27 girls.
We know that there are 18 more boys that girls.
27+18=45
There are 45 boys.
Add the number of boys and girls together to find total number of people.
27+45=72
There are 72 people in total.
Allen has a 18-Foot ladder. If he sets it to make a 70 degree angle with the ground, how high will it reach? Round decimal to the nearest hundredth.
Answer:
20.5 feet
Step-by-step explanation:
?
help please........................................................
Answer:
-13/24
Step-by-step explanation:
find the common denominator then add
Factor the expression below.
16x2 - 1
Answer:
(4x+1)(4x-1)
Step-by-step explanation:
convert 1.8kg to grams
Answer: multiply the mass value by 1000
Real Answer: 1800
Answer:
1800
Step-by-step explanation:
Jordan is tracking a recent online purchase. The shipping costs state that the item will be shipped in a 24-inch long box with a volume of 2,880 cubic inches. The width of the box is seven inches less than the height. The volume of a rectangular prism is found using the formula V = lwh, where l is the length, w is the width, and h is the height.Jordan is tracking a recent online purchase. The shipping costs state that the item will be shipped in a 24-inch long box with a volume of 2,880 cubic inches. The width of the box is seven inches less than the height. The volume of a rectangular prism is found using the formula V = lwh, where l is the length, w is the width, and h is the height.
The height and width of the box shipped is 15 and 8 inches respectively.
What is a cuboid?A cuboid is a three-dimensional closed figure which has volume along with surface area.
The volume of a cuboid is the product of its length, width, and height.
The total surface area of a cuboid is 2( lw + wh + wl) and the lateral surface area is 2(l + w)×h.
Given, The width of the box is seven inches less than the height.
Assuming the width to be 'w' hence the height(h) = w + 7 and has a length of 24 inches with a volume of 2880 cubic inches.
We know the volume(V) of a cuboid is l×w×h.
Therefore,
24×w×(w + 7) = 2880.
24w(w + 7) = 2880.
24w² + 168w = 2880.
6w² + 42w = 720.
w² + 7w = 120.
w² + 7w - 120 = 0.
w² + 15w - 8w - 120 = 0.
w(w + 15) - 8(w + 15) = 0.
(w + 15)(w - 8) = 0.
w = 8 and hence h = 8 = 7 = 15.
So, the width and height of the box is 8 and 15 inches respectively.
learn more about cuboids here :
https://brainly.com/question/29568631
#SPJ5
Find the sum of (x + 4) and (3x + 2) *
Answer:
4x+6
Step-by-step explanation:
(x+4)+(3x+2)
=x+4+3x+2
=4x+6
Evaluate. ( please please help me if I don’t pass this class I have to retake the year)
Answer:
1/2
Step-by-step explanation:
I think. So sorry if wrong
HELP U GUYS. For a fundraiser, Alex sold large boxes of oranges for $9 each and small boxes of oranges for $5 each. if he sold 17 boxes in all total for 105, how many more small boxes than large boxes did he sell?
A.5
B.7
C.9
D.11
Answer:
He sold 7 more small boxes than large boxes
Step-by-step explanation:
Let x be the no of small boxes sold .
Cost of 1 small boxes of oranges = $5
Cost of x small boxes of oranges = 5x
Let y be the no. of large boxes sold
Cost of 1 large boxes of oranges = $9
Cost of y large boxes of oranges = 9y
He sold 17 boxes in all total for 105
So,x+y=17 ---1
So,5x+9y=105 ---2
Substitute the value of x from 1 in 2
5x+9(17-x)=105
5x+153-9x=105
153-105=4x
[tex]\frac{153-105}{4}=x[/tex]
12=x
Substitute value of x in 1
12+y=17
y=17-12
y=5
Difference in no. of boxes = 12-5 = 7
So, He sold 7 more small boxes than large boxes
What is the formular for the Curved surface Area of a cone
Answer:
To find the curved surface area of any cone, multiply the base radius of the cone by pi. Now multiply your answer by the length of the side of the cone.
Name a career in which one would have to use the Pythagorean Theorem. Give an example of when, where, and how it would be used.
FULL EXPLANATION NEEDED
Answer:
Engineers use the Pythagorean Theorem to figure out measurements of objects.
CAN SOMEONE PLEASE HELP ME
Find the sine of angle R. Reduce the answer to the lowest terms.
Find the cosine of angle R. Reduce the answer to the lowest terms.
Find the tangent of angle R. Reduce the answer to the lowest terms.
Find the sine of angle S. Reduce the answer to the lowest terms.
Find the cosine of angle S. Reduce the answer to the lowest terms.
Find the tangent of angle S. Reduce the answer to the lowest terms.
Answer:
Since sine is equal to opposite over hypotenuse, you would create the fraction 8/10. 8 and 10 are both divisible by 2, so that fraction would reduce to 4/5, which is the answer.
Step-by-step explanation:
hey can yall make me brainlyiest
Answer:
4/5 sine
Step-by-step explanation:
what is the answer to 22% of 49.6?
Answer:
10.912
Step-by-step explanation:
0.22*49.6=10.912
Answer:
the answer is 225.45
Step-by-step explanation:
49.6 ÷ 22% =
49.6 ÷ (22 ÷ 100) =
(100 × 49.6) ÷ 22 =
4,960 ÷ 22 ≈
225.454545454545 ≈
225.45
Please help!
What is 5.2¯ expressed as a fraction in simplest form?
275
389
265
479
Answer:
Step-by-step explanation:
389
Answer. 3/89
Step-by-step explanation:
HEY FREN
Anthony is a high school basketball player. How many points would Anthony score in a game if he made 8 three point shots and 2 two point shots ? How many points would Anthony score in a game if he made x three point shots and y two point shots?
Answer:
Step-by-step explanation:
x three point shots: 8*3=24
x two point shots: 2*2=4
The point would Anthony score is : 24+4=28
I hope it'll help you much
Thank you for asking
find the center and radius of the circle x2+(y+8)2=4
Answer: Center (0, -8) and Radius = 2
The standard equation of a circle is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius.
You can write the equation as (x-0)² + (y-( -8))² = 2². From this, you can conclude that the center is (0,-8) and the radius is 2.
