The ratio 1:4 would be the same as if it was written as 1/4.
Because she multiplied the dimensions by 1/2, that would be a ratio of 1:2
The answer is:
B. A cylinder with Sara’s dimensions will be geometrically similar, but the scale factor will be 1:2
convert 1.8kg to grams
Answer: multiply the mass value by 1000
Real Answer: 1800
Answer:
1800
Step-by-step explanation:
Write the equation of the circle graphed below.
Answer:
The equation of the circle is [tex]{ \left(x - 1 \right)^2 + \left( y - 2 \right)^2 = \frac{ 25 }{ 4 } }[/tex].
Step-by-step explanation:
This is the general standard equation for the circle centered at (h, k) with radius r.
[tex](x-h)^2+(y-k)^2=r^2[/tex]
From the graph we know that the center, the red point, is (1, 2) and the circle pass through the point (2.5, 4) the blue point.
To find the standard equation of the circle you must:
Step 1: Find circle radius.
To find a radius of a circle we will compute the distance between points [tex]C=(1, 2)[/tex] and [tex]P=(2.5, 4)={ \left( \frac{ 5 }{ 2 } , 4 \right) }[/tex]. The distance can be computed by using formula:
[tex]r = \sqrt{ \left(C_x - P_x\right)^2 + \left(C_y - P_y\right)^2 }\\\\r = \sqrt{ \left(1 - \frac{5}{2} )^2 + \left(2 - 4)^2 }[/tex]
[tex]r=\sqrt{\frac{3^2}{2^2}+2^2}=\sqrt{\frac{9}{4}+4}=\sqrt{\frac{25}{4}}=\frac{5}{2}[/tex]
Step 2: Substitute the values of the radius and the center into the general standard equation for the circle.
[tex]\begin{aligned} \left(x - 1 \right)^2 + \left(y - 2 \right)^2 &= \left(\frac{ 5 }{ 2 }\right)^2 \\ \left(x - 1 \right)^2 + \left( y - 2 \right)^2 &= \frac{ 25 }{ 4 } \end{aligned}[/tex]
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]
The sum of the two shorter sides of a triangle must be equal to the longest side to be classified as a triangle
Answer:
False
Step-by-step explanation:
For example if you follow the pythagoras theorem a triangle has sides of 3,4 and 5
but when you add 3 and 4 they do not give you 5
so that is false
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
Which is the simplified form of m Superscript negative 8 p Superscript 0?
StartFraction 1 Over m Superscript 8 Baseline p EndFraction
StartFraction 1 Over m Superscript 8 EndFraction
StartFraction p over m Superscript 8 EndFraction
m Superscript 8
i think it is C
Step-by-step explanation:
Answer:
1 or D
Step-by-step explanation:
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! :)
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.
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
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:
if suresh made a deposit of AED 2700 on the first day of the tear and same amount again after every 4 months at the end of the year how much money will he get if the interest is compounded quarterly and the rate of interest is 7.5% per annum
Answer:
48.048
Step-by-step explanation:
multiply 77 time 0.60 since 60%in decimal form is 0.60. you then get the answer of that(46.2) and mutiply 0.04 since that the decimal form for 4%. you get 1.848 and add it to 46.2 and get the final answer 48.048. Hope this helped you
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
Please help me I’m about to cry
Answer:
LKH and JKM
Step-by-step explanation:
Aye, if you're gonna cry bro, take a break. This stuff means nothing in like 2 or 3 years. Trust me :)
Answer: it is angle LKH and angle JKM
Step-by-step explanation:
Verticals angles are angles that are opposite to each other and have the same degree measure. Since line JL is parallel to line GI, then MF is the transversal, creating some vertical angles. I’m not sure how else to explain it but you can connect the letters (in order) of the different angles to figure out what angles they are, and then find ones that are opposite angles. I hope this helped!
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
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
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:
0.7(1.5+ y) = 3.5y - 1.47
Solve
Answer:
y = .9
Step-by-step explanation:
0.7(1.5+ y) = 3.5y - 1.47
Distribute
1.05 +.7y = 3.5y -1.47
Subtract .7y from each side
1.05 +.7y.-.7y = 3.5y-.7y -1.47
1.05 =2.8y -1.47
Add 1.47 to each side
1.05+1.47 = 2.8y
2.52 = 2.8y
Divide by 2.8
2.52/2.8 = y
.9 = y
Answer:
y = 0.9
C, the third one
Step-by-step explanation:
Examine this multistep equation with variables on both sides.
0.7(1.5 + y) = 3.5y - 1.47
Which of the following is the solution to this equation?
y = 0.09
y = 0.17
y = 0.9
y = 1.7
Please answer as soon as you see this it’s urgent
Answer:
m∠DEH= 128.6°
Step-by-step explanation:
∠GHJ and ∠DEH are both congruent to each other because lines DF and GI are both parallel to each other.
This means, if m∠GHJ is 128.6°, m∠DEH is also 128.6°.
Answer:
128.6
Step-by-step explanation:
GHJ= DEH
adjasent angle
Need help plssssss fast hurry plsss
Answer:
50 ft2
Step-by-step explanation:
im not sure if this is right but this is what i got when i worked it out
Answer: [tex]150ft^2[/tex]
Step-by-step explanation:
length: [tex]7\frac{1}{2}in[/tex] Convert to an improper fraction. [tex]\frac{7*2+1}{2}=\frac{15}{2}[/tex]
width: [tex]5 in[/tex]
[tex]Formula: A=w*l[/tex]
[tex]A=(5in)(\frac{15}{2}in)\\A=\frac{75}{2}in^2[/tex]
Convert to ft. I assume your conversion factor is [tex]\frac{1}{2}in. : 1ft[/tex]. However, the unit we need is squared. Square both sides.
[tex](\frac{1}{2}in.)^2 : (1ft)^2[/tex]
[tex]\frac{1}{4}in^2 : 1ft^2[/tex]
Convert.
[tex]\frac{75}{2}in^2(\frac{1ft^2}{\frac{1}{4}in^2 } )=[/tex]
Invert the fraction in the denominator and multiply it by the numerator.
[tex]\frac{75}{2}in^2*1ft^2*4in^-^2=75*2ft^2=150ft^2[/tex]
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
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
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
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.
Graph the function.
h(x) = -1/5x^2+2x
Answer:
Hello there I would love to assist but could you give me a little more info I think I know the answer but I want to make sure I got it 100% correct unless you cant give me more info ill just tell you what I think it is but if u can give me more info before I give u the answer to make sure its correct would be appreciated
Step-by-step explanation:
What is the length of MN?
Answer:the length of MN is6 units
Step-by-step explanation:
It is correct
Which set of measurements could be the lengths of the sides of a right
triangle?
А
1, 2, 3
с
5, 12, 13
9, 13, 15
10, 20, 30
D
Answer:
5, 12, 13
Step-by-step explanation:
because if you use the pythagorean theorem, you will get 13 as the hypotenuse if you take the two shorter sides.
6x2+40=31x factorise the quadratic equation
Answer:
Step-by-step explanation:
6x² + 40 = 31x
6x² - 31x + 40 = 0
6x² - 16x - 15x + (-5)*(-8) = 0
2x(3x - 8) - 5(3x -8) = 0
(3x - 8) (2x - 5) = 0
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:
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.
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
