Answer:
Height of the cylinder = 15
Step-by-step explanation:
According to the question, TSA=968
TSA of cylinder=2π r (r+h2*22 / 7*7 (7+h) = 968
2*22 (7+h) = 968
(7+h) = 968/44
7+h=22
h = 22-7
= 15 cm
A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second.
Answer:
It makes 360 / 60 = 6 revolutions per second. 6 revolutions is 12π radians.
If my score goes up 20,000 a day how long will it take me to reach 2,000,000
Answer:
It would take 100 days
Step-by-step explanation:
2,000,000 divided by 20,000 equals 100
So it would take 100 days
a kennel has40 dogs in total , some are puppies and some are adults dogs . the ratio of puppies to adult dogs is 1:4 how many puppies are there
Answer:
8 puppies
Step-by-step explanation:
Total = 40
Ratio = 1:4
Total Parts = 4+1 = 5
Divide this from the total
=> 40/5 = 8
Now, Multiply the result with the ratios:
=> 4 * 8 = 32
=> 1 * 8 = 8
Answer: total number of puppies:40
Ratio of puppies to adults;1:4
1x+4x=40… 1x puppies
4x adult dogs
5x=40:x=40/5=8
No. Of puppies=1*8(x=8)
No.of adult dogs=4*8:32
Help please !!!!!!!!!!!!!!!!
Answer:
x = 6
Step-by-step explanation:
The opposite sides of a parallelogram are congruent, thus
6x - 15 = x + 15 ( subtract x from both sides )
5x - 15 = 15 ( add 15 to both sides )
5x = 30 ( divide both sides by 5 )
x = 6
Answer:
X=6 Read explination
Step-by-step explanation:
A parallelogram has the perrimeter of both opposite sides equal
So we know that
6x-15=x+15
This is because in a parrellelogram the opposite sides are equal
so breaking it down
6x-15=x+15
(add 15 to both sides)
6x=x+30
(subtract x from both sides)
5x=30
(divide both sides by 5)
x=6
What's is the midpoint of a line segment with endpoints at (0,-8) and (-8,0)?
Answer:
The mod-point is (-4,-4)
Step-by-step explanation:
By using mid-point formula
M(x,y)=(x1+x2)/2 ,(y1+y2)/2
putting the values of the coordinates
M(x,y)=(0+-8)/2 ,(-8+0)/2
M(x,y)=-8/2 , -8/2
M(x,y)=(-4,-4)
So the mid-point is (-4.-4)
I hope this will help you :)
Hi, I’m really struggling, if anyone knows, please could you help?
Answer: a) 26
Step-by-step explanation:
-a would be because as you can see there is a pattern of sticks, so what i did was count up the sticks and i found that there was 6 in the first one. So i counted the second one and it was 10 so i realized that all i had to do was add 4.
and for b i think when it says n it means the nth term which is 4 so i think it means pattern 4 which would be 18 so try that out
hope this helped x
How do you do this? Bearings. Please help
Answer:
Hi !
You need to use the "cosine rule" :
d² = 24² + 32² - (2 x 24 x 32)cos125°
So == > d² = 1600 - 1536cos125°
Then ==> d² = 2481.013406
Conclusion == > d = 49.8 nautical miles
The distance between the ships after 2 hours is 49.8 nautical miles
; )
helpp help meeee plsss pls
Answer: w might be 9
Step-by-step explanation: the length of each sides of the smallest shaped polygon is 3 times less( like 6 in the biggest shape, it is 2 in the smallest one= 6/3:2) x might be 12 . And in other ways we can say that each length of the biggest shaped polygon is 3× the length of the smallest one.
Answer:
9solution,
The two polygons are same.
[tex] \frac{4}{x} = \frac{y}{15} = \frac{3}{w} = \frac{2}{6} = \frac{z}{4} [/tex]
[tex] \frac{3}{w} = \frac{2}{6} \\ or \: 2w = 3 \times 6( \: cross \: multiplication) \\ or \: 2w = 18 \\ or \: w = \frac{18}{2} \\ w = 9[/tex]
Hope this helps...
Good luck on your assignment..
the
square
(5x² + 6xy)²
is
Answer:
[tex] {25x}^{4} + 60 {x}^{3} y + 36 {x}^{2} {y}^{2} [/tex]
Step-by-step explanation:
[tex](5 {x}^{2} )^{2} + 2 \times 5 {x}^{2} \times 6xy + (6xy)^{2} [/tex]
Gives the above answer
Answer:
in the picture
Step-by-step explanation:
expanding brackets (x + 3)(x + 10)
Answer:
x² + 13x + 30
Step-by-step explanation:
(x + 3) (x + 10)
Expand the brackets.
x(x + 10) + 3(x + 10)
x² + 10x + 3x + 30
Add like terms.
x² + 13x + 30
Answer:
=x²+13x+30 is the answer
Step-by-step explanation:
=(x+3)(x+10)
opening the brackets by multiplying
=x(x+10)+3(x+10)
=x²+10x+3x+30
=x²+13x+30
i hope this will help you :)
There are 12 boys and 16 girls in a classroom. Which represents the simplified ratio of girls to students in the classroom? THIS IS A RATIO!
Answer:
4:7
Step-by-step explanation:
The number of students in the class is:
boys + girls
12 + 16 = 28
There are 28 students.
The ratio of girls to students is:
16:28
Simplify the ratio.
4:7
Answer:
4:7
Step-by-step explanation:
I got it right on the test
Please help me :))))
Answer:
12617.13
Step-by-step explanation:
250(1+0.103)^40= 12617.13
hope it help
Answer:
12617.13
Step-by-step explanation:
Find the values of a and b such that x^2-x+5=(x-a)^2+b
Answer:
a = 0.5 or 1/2
b = 19/4 or 4.75
Step-by-step explanation:
Step 1: Isolate x's
x² - x = -5
Step 2: Complete the Square
x² - x + 1/4 = -5 + 1/4
(x - 1/2)² = -19/4
Step 3: Move everything to one side
(x - 0.5)² + 4.75
Which type of transformation is shown? The transformation is a
Bond X is a premium bond making semiannual payments. The bond pays a coupon rate of 11 percent, has a YTM of 9 percent, and has 15 years to maturity. Bond Y is a discount bond making semiannual payments. This bond pays a coupon rate of 9 percent, has a YTM of 11 percent, and also has 15 years to maturity. The bonds have a $1,000 par value. What is the price of each bond today?
Answer:
Price of Bond X : $1,162.89
Price of bond Y : $854.66
Step-by-step explanation:
Given the following information :
Bond X :
Face value = $1000
Yield to maturity (YTM) / market interest rate = 9%
Coupon rate = 11%
Years to maturity = 15 years
Compounding frequency = semianually
Using the online bond price calculator, The bond price will be $1,162.89. The bond is sold at premium, since the par value is lesser than the bond price.
For Bond Y:
Face value = $1000
Yield to maturity (YTM) / market interest rate = 11%
Coupon rate = 9%
Years to maturity = 15 years
Compounding frequency = semianually
Using the online bond price calculator, The bond price will be $854.66. The bond is sold at a discount , since the par value is greater than the bond price.
solve for x. 5x=15+5
Answer: x=4
Step-by-step explanation:
5x=15+5
15+5=20
5x=20
divide 5 on both sides
20/5=4
x=4
Answer:
x=4
Step-by-step explanation:
5x=15+5 add
5x=20 divide
x=4 simplify
Izzy gets a loan of $2,800 with an APR of 3.5%. She will repay the loan in monthly payments for 9 months. To find the total amount of interest she will pay, Izzy uses an online calculator. What are the correct numbers she should enter?
Answer: Hold on
Step-by-step explanation: LEt me see this is tricky
Answer: P= 2,800, r= 0.035, n= 12, t= 0.75
Step-by-step explanation:
I guessed and got it right!
Calculate the volume of the following object:
Answer:
262.44 cubic metres.
Step-by-step explanation:
First, we can calculate the volume of the cylinder by doing pi * r^2 * h. In this case, r is 5 / 2 and h is 7.
pi * (5/2)^2 * 7 = pi * 25/4 * 7 = pi * 6.25 * 7 = pi * 43.75 = 3.14159265 * 43.75 = 137.4446784 cubic m.
Seconds, we calculate the volume of the cube. It is 5^3 = 5 * 5 * 5 = 25 * 5 = 125 cubic m.
137.4446784 + 125 = 262.4446784, which is about 262.44 cubic metres.
Hope this helps!
Answer:
5*5*5=125
volume of cylinder=137.44
137.44+125=262.44
Step-by-step explanation:
linear equations: c+2c+12=75
Answer:
c = 21
Step-by-step explanation:
c + 2c + 12 = 75
Combine like terms.
3c + 12 = 75
Subtract 12 from both sides.
3c = 63
Divide 3 on both sides.
c = 21
help i will give brainliest
Answer:
see below
Step-by-step explanation:
Formula: Center Not at Origin:
New point = k( x-a) +a, k( y-b) +b where k is the scale factor and ( a,b) is center of dilation
New point = -2( x-4) +4, k( y-6) +6
The scale factor is k = -2
Taking the top point ( 1,9)
New point = -2( 1-4) +4, -2( 9-6) +6
= -2(-3) +4 , -2(3) +6
6+4, -6+6
10,0
Taking the bottom left point ( 1,7)
New point = -2( 1-4) +4, -2( 7-6) +6
= -2(-3) +4 , -2(1) +6
6+4, -2+6
10,4
Taking the bottom right point ( 2,7)
New point = -2( 2-4) +4, -2( 7-6) +6
= -2(-2) +4 , -2(1) +6
4+4, -2+6
8,4
Some one help me understand
Answer:
Because ΔABC ≅ ΔDEC, ∠B ≅ ∠E by CPCTC which means:
2x + 31 = 7x - 24
-5x = -55
x = 11°.
I NEED HELP PLEASE, THANKS! :)
Answer: [tex]\bold{log_5\bigg(\dfrac{x^5}{(8-x)^{\frac{1}{4}}}\bigg)}[/tex]
Step-by-step explanation:
Notes: Coefficients condense to exponents.
Subtraction condenses to division
[tex]5\log_5(x)-\dfrac{1}{4}\log_5(8-x)\\\\\\=\log_5(x)^5-\log_5(8-x)^\frac{1}{4}\\\\\\=\large\boxed{\log_5\bigg(\dfrac{x^5}{(8-x)^\frac{1}{4}}\bigg)}[/tex]
the focal length F of a lens made by combining two lenses of focal length U and V is given I/F=I/U+I/V
A.make V the subject of the formula.
B.find V when F=6,U=10
Answer:
a). [tex]V=\frac{U.F}{U-F}[/tex]
b). V = 15 units
Step-by-step explanation:
Focal length F of a lens made by combining two lenses of different focal lengths U and V will be,
[tex]\frac{1}{F}=\frac{1}{U}+\frac{1}{V}[/tex]
A). By solving the given formula,
[tex]\frac{1}{V}=\frac{1}{F}-\frac{1}{U}[/tex]
[tex]\frac{1}{V}=\frac{U-F}{U.F}[/tex]
[tex]V=\frac{U.F}{U-F}[/tex]
B). If F = 6 and U = 10 then we have to find the value of V.
By substituting the given values in the formula,
[tex]V=\frac{6\times 10}{10-6}[/tex]
[tex]V=\frac{60}{4}[/tex]
V = 15 units
Therefore, focal length (V) of the lens = 15 units
Please answer this question now fast in two minutes there can be more than one answer
Answer:
QT and ST
RS and SW
Step-by-step explanation:
There are 2 of the answer choice that are correct. QT and ST, RS and SW.
Those lines do intersect each other at a corner of the cube.
Based only on the given information, it is guaranteed that AB is perpendicular to CD. True or false
Answer:
true
Step-by-step explanation:
because CD divided AB into equal halves, so they are of course perpendicular.
Answer:
Step-by-step explanation:
This is definitely true. AC is congruent to BD, and by the Isosceles Triangle Theorem, if this congruency is true, then the angles across from these congruent sides are also congruent. This means that angle ACD is congruent to angle BCD. That makes CD a bisector of angle ACB; it also makes CD a bisector of side AB. The definition of a perpendicular bisector is that the segment splits its angle in half (and it does) and that it splits the side it goes through in half (which it does). This makes CD, in a nutshell, the perpendicular bisector of AB (which also means that CD is perpendicular to AB).
7
81 - - א 3
= 81
27
Find the value of q.
Please
Answer:
q = -7
Step-by-step explanation:
3 ^ -q * 1/27 = 81
Rewriting each as a power of 3
3 ^ -q * 3^ -3 = 3 ^4
We know that a^b * a^ c = a^ ( b+c)
3 ^ (-q -3) = 3 ^4
The bases are the same so the exponents are the same
-q-3 = 4
Add 3 to each side
-q-3+3 = 4+3
-q =7
Divide by -1
q = -7
A school is painting its logo in the shape of a triangle in the middle of its sports field. The school wants the height of the triangle to be 4 feet. The area of the logo must be at most 14 square feet. (The school doesn't want to buy more paint.) Write an inequality that describes the possible base lengths (in feet) of the triangle. Use b for the base length of the triangular logo.
The Henderson family runs a farm. A portion of the soil on their farm will not be used. What is the area of the portion of the soil that will not be farmed.
Answer:
(C)221.5 miles
Step-by-step explanation:
Given a triangle with two sides a and b and an included(an angle between the two given sides) angle [tex]\theta,[/tex]
Area of the Triangle [tex]=\dfrac12 ab\sin \theta[/tex]
[tex]a=32$ miles\\b=23 miles\\\theta =37^\circ[/tex]
Therefore, The area of the portion that will not be farmed
[tex]=\dfrac12 \times 32 \times 23 \times \sin \37^\circ\\=221.47\\\approx 221.5$ square miles[/tex]
The correct option is C.
Given that sin x < cos x and 0°< x < 90°,state a possible value of x. Explain your answer clearly.
Answer:
30°Step-by-step explanation:
Given sinx< cos x and 0°< x < 90°, to get the possible value of x, we need to solve the given inequality for x.
sinx< cos x
Dividing both sides by cos x
sin x/cos x < cos x/cos x
tan x < 1
x < [tex]tan^{-1}1[/tex]
x < 45°
Since x is less than 45°, then one of the possible value of x can be 30° since 30° is less than 45° and 30° falls within the given range of values.
Subtract. Express your answer in lowest form. 8 1/4 minus 5 2/3 a. 3 5/12 b. 3 7/12 c. 2 5/12 d. 2 7/12
Answer:
D. 2 7/12
Step-by-step explanation:
8 1/4 - 5 2/3
Turn to improper fractions.
33/4 - 17/3
Make the denominators equal.
99/12 - 68/12
Subtract the fractions since denominators are equal.
31/12
= 2 7/12
Answer:
[tex] 2 \frac{7}{12} [/tex]
Answer D is correct.
Step-by-step explanation:
[tex]8 \frac{1}{4} - 5 \frac{2}{3} \\ \frac{33}{4} - \frac{17}{3} \\ \frac{99 - 68}{12} \\ \frac{31}{12} = 2 \frac{7}{12} [/tex]