Answer:
A
Step-by-step explanation:
12 / tan 42 = 13.32......
12 / sin 27 = 26.43....
26.43² - 12² = 552.24....
square root of 552.24... = 23.5
23.5 - 13.3 = 10.2
11 cm
Diagram NOT
accurately drawn
30 cm
The cylinder has a height of 30 cm and a radius of 11 cm. Work out the total surface area of
the cylinder. Give your answer correct to 2 significant figures.
Answer:
[tex]A=2833.71\ cm^2[/tex]
Step-by-step explanation:
Given that,
The height of the cylinder, h = 30 cm
The radius of the cylinder, r = 11 cm
We need to find the total surface area of the cylinder. The formula for the total surface area of the cylinder is given by :
[tex]A=2\pi rh+2\pi r^2\\\\A=2\pi \times 11\times 30+2\pi \times (11)^2\\\\A=2833.71\ cm^2[/tex]
So, the total surface area of the cylinder is [tex]2833.71\ cm^2[/tex].
Which expressions are equivalent to the one below? Check all that apply.
25%
A. 52.5*
B. 5. 52x
C. 5.5%
D. 54.5
E. (5.5)*
F 52x
Answer:
a,b,d
Step-by-step explanation: jusrt the answer, take my word u totally wont fail lol
The equivalent value of the expressions are solved by the exponents
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the exponential equation be represented as A
Now , the value of A is
A = 25ˣ
On simplifying , we get
A = ( 5 . 5 )ˣ
A = ( 25 )ˣ
And , A = 5ˣ . 5ˣ
From the laws of exponents , we get
mᵃ×mᵇ = mᵃ⁺ᵇ
A = 5²ˣ
A = 25ˣ
Hence , the expressions are ( 5 . 5 )ˣ = 5²ˣ = 5ˣ . 5ˣ = 25ˣ
To learn more about exponents click :
https://brainly.com/question/28966438
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The complete question is attached below :
Which expressions are equivalent to the one below? Check all that apply.
25ˣ
Which type of transformation is described by (x, y) (x + 2, Y-3)?
Answer:
I’m good at math but not that good
Step-by-step explanation:
-14 = 4x - 2
what is the x ?
Answer:
X = -3
Step-by-step explanation:
What's the largest fraction in each group? a. 5⁄6 and 29⁄36 b. 5⁄12 and 3⁄8 c. 2⁄5 and 19⁄45 d. 5⁄7, 13⁄14, and 19⁄21
Solution :
We have to find the largest fraction in each group.
a). [tex]$\frac{5}{6}$[/tex] and [tex]$\frac{29}{36}$[/tex]
[tex]$\frac{5}{6}$[/tex] → when we divide the number 5 with 6, we get 0.833
[tex]$\frac{29}{36}$[/tex] → when we divide 29 by 36, we get the value 0.805
Therefore, in this group, [tex]$\frac{5}{6}$[/tex] is the largest fraction.
b). [tex]$\frac{5}{12}$[/tex] and [tex]$\frac{3}{8}$[/tex]
[tex]$\frac{5}{12}$[/tex] → when we divide the number 5 with 12, we get 0.416
[tex]$\frac{3}{8}$[/tex] → when we divide 3 by 8, we get the value 0.375
Therefore, in this group, [tex]$\frac{5}{12}$[/tex] is the largest fraction.
c). [tex]$\frac{2}{5}$[/tex] and [tex]$\frac{19}{45}$[/tex]
[tex]$\frac{2}{5}$[/tex] → when we divide the number 2 with 5, we get 0.40
[tex]$\frac{19}{45}$[/tex] → when we divide 19 by 45, we get the value 0.42
Therefore, in this group, [tex]$\frac{19}{45}$[/tex] is the largest fraction.
d). [tex]$\frac{5}{7}$[/tex], [tex]$\frac{13}{14}$[/tex] and [tex]$\frac{19}{21}$[/tex]
[tex]$\frac{5}{7}$[/tex] → when we divide the number 5 with 7, we get 0.714
[tex]$\frac{13}{14}$[/tex] → when we divide 13 by 14, we get the value 0.928
[tex]$\frac{19}{21}$[/tex] → when we divide 19 by 21, we get the value 0.904
Therefore, in this group, [tex]$\frac{13}{14}$[/tex] is the largest fraction.
Find the area of the trapezoid 12.5cm 6cm 17.5cm
Answer:
The answer for this is a. 90
Hits 2) How many solutions does the inequality have?
A) 0
B) 1
C) 8
D) infinitely many
9514 1404 393
Answer:
D) infinitely many
Step-by-step explanation:
There are infinitely many points on any portion of the number line. The shading on the graph indicates all numbers less than or equal to 8 are solutions. There are infinitely many such numbers.
what is the area of a rectangle if the length is (4x + 2) cm and a width of (5x – 3) cm
Answer:
20x^2−2x−6
Step-by-step explanation:
(4x+2)(5x+−3)
=(4x)(5x)+(4x)(−3)+(2)(5x)+(2)(−3)
=20x2−12x+10x−6
=20x2−2x−6
Five less than twice the value of a number is equal to three times the quantity of
four more than one-half the number. What is the
number?
a. Let x be the number. Write and solve an equation to find x. Show your work.
b. Does the solution of your equation solve the original problem? Explain.
Answer:
a) x = 34
b) yes, it checks out
Step-by-step explanation:
2x - 5 = 3(4 + 1/2x)
multiply both sides by 2 to eliminate fraction
2[2x - 5 = 3(4 + 1/2x)] = 4x - 10 = 24 + 3x
x - 10 = 24
x = 34
check
2(34) - 5 = 3(4 + 34/2)
68 - 5 = 3(4 + 17)
63 = 3(21)
63 = 63
Given triangle ABC, if angle A = 40, a = 65, and angle B = 25. what is the
length of b?
Answer:
x=50
Step-by-step explanation:
40+65+25+x=180
Combine like terms
130+x=180
x=50
(triangles = 180)
8 ÷ 2 (2 + 2) solve the equation
Answer:
8
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\textsf{Just do PEMDAS to solve for this equation; if you do not know what PEMDAS}\\\textsf{means, it simply means}\downarrow[/tex]
[tex]\large\text{Parentheses}[/tex]
[tex]\large\text{Exponents}[/tex]
[tex]\large\text{Multiplication}[/tex]
[tex]\large\text{Division}[/tex]
[tex]\large\text{Addition}[/tex]
[tex]\large\text{Subtraction}[/tex]
[tex]\textsf{In this given equation you’re doing:}[/tex]
[tex]\large\text{Parentheses}[/tex]
[tex]\large\text{Addition}[/tex]
[tex]\large\text{Division}[/tex]
[tex]\large\text{8}\div\large\text{2 (2 + 2)}[/tex]
[tex]\large\text{2 + 2 = \boxed{\bf 4}}[/tex]
[tex]\large\text{8}\div\large\text{2(4)}[/tex]
[tex]\large\text{8}\div\large\text{2 = \boxed{\bf 4}}[/tex]
[tex]\large\text{4(4)}[/tex]
[tex]= \boxed{\large\text{\bf 16}}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 16}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Write an equivalent expression. -2(7+5g)
Answer:
-2(7) + -2(5g)
Step-by-step explanation:
Using the distributive property we can confirm that:
-2(7) + -2(5g) = -2(7+5g)
Answer:
−14−10g
Step-by-step explanation:
First, solve the product:
-2 ⋅ 7 - 2 ⋅ 5g
Multiply -2 times 7 to -14.
So, the equivalent expression would be:
-14 - 2 ⋅ 5g = -14 - 10g
-14 - 10g
Find the upper bound
1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000x109308267503039847568549320298347567584930222222222394856785493292837458949487567854847657854756578745678384575784475784374575894338457685984576859857698576869857=
Answer:1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000x109308267503039847568549320298347567584930222222222394856785493292837458949487567854847657854756578745678384575784475784374575894338457685984576859857698576869857=1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000x109308267503039847568549320298347567584930222222222394856785493292837458949487567854847657854756578745678384575784475784374575894338457685984576859857698576869857=
Step-by-step explanation:
30+5z+5z=180
what is the value of z
Answer:
15
.......................
A free diver can dive at a rate of -0.75 meters per second about how long will it take to reach a depth of -145 meters
Answer:
193 seconds
Step-by-step explanation:
For this problem you'll have to divide so do -145÷-0.75 and your answer will be 193 seconds
hi hi!! please help, it’s 8th grade algebra
Evaluate the following expression:
(16 - 2*2*2) / (12-5*2)
(give answer as a
number... NO WORDS)
Your answer:
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
(16 - 2*2*2)/ (12-5*2)
(16 - 8)/(12-10)
8/2
4
Sorry, if this doesn't help.
Triangle ABC is rotated counterclockwise using the origin as the center of rotation. The preimage and image are shown in the graph below. On a coordinate plane, triangle A B C has points (negative 4, negative 2), (negative 2, 1), (negative 2, negative 1). Triangle A prime B prime C prime has points (1.2, 4.2), (2, 1), (0, 2.9). Which rotation could have taken place?
Answer: it would be C. a 225° rotation
Step-by-step explanation: I got it correct
Answer:
C
Step-by-step explanation:
A family just removed a big tree from their backyard. The diameter of the circular hole left behind is 7 feet across. Approximately how many square feet of gras
area where the tree once was?
Answer:
about 38.48 square feet
Does: 2(4x + 10) = 8x + 20 has, One, None, Infinitely Many Solutions? You must show your work.
Answer:
one solution
Step-by-step explanation:
2( 4 + 1 0 ) = 8 +2 0 = 2 8 + 2 0
Subtract
from both sides of the equation
Simplify
Subtract 8 from both sides of the equation
Simplify
Divide both sides of the equation by the same term
Simplify
Solution = − 5 /2
are the following lines parallel, perpendicular, or neither? y= -4/3x - 5 and y= 3/4x - 5
Simplify:
(4/2d^2)^3
Answer:
Step-by-step explanation:
[tex](\frac{4}{2}d^{2})^{3} =(2d^{2})^{3}\\\\= 2^{3}*(d^{2})^{3}\\\\=8d^{2*3}\\\\= 8d^{6}\\[/tex]
Hint: [tex](a^{m})^{n}=a^{m*n}\\\\[/tex]
If cos θ > 0, which quadrant(s) could the terminal side of θ lie?
Answer:
I and IV
Step-by-step explanation:
cosine is positive/greater than 0 in quadrants I and IV. Its just a rule of the unit circle.
Can remember by All Star Trig Class
meaning all the trig funtions are positive in quadrant I
sin is positive in II
tan is positive in III
and cos is positive in IV
What is 60 times 5 twelfths
Answer:
25
Step-by-step explanation:
do 60 and multipy it by 5 then 5/12
and turn it into a proper fraction
Answer:
25
Step-by-step explanation:
60 × [tex]\frac{5}{12}[/tex] = [tex]\frac{300}{12}[/tex]= 25
Jim has completed 16 deliveries so far this week. He needs to make 80 deliveries for the week. What percentage of his deliveries has Jim completed?
Answer:
20%
Step-by-step explanation:
16/80=0.2 which is 20%
What is the value of -2(x + 5)?
Answer:
-2x-10
Step-by-step explanation:
hope it hhhhheeeeeellllpppp you
Mr. Robison rides 136 miles per hour on his bike ride. He wants to ride more than 360 miles at the same rate during his next bike ride. Which inequality represents all possible values for b, the number of hours Mr. Robison must bike to ride more than 360 miles rounded to the nearest hundredths?
Answer: See explanation
Step-by-step explanation:
From the equation, we are informed that Mr. Robison rides 136 miles per hour on his bike ride and that he wants to ride more than 360 miles at the same rate during his next bike ride.
The inequality that represents all possible values for b, the number of hours Mr. Robison must bike will be:
136b > 360
b > 360/136
b > 2.65
Therefore, Me Robinson must bike for more than 2.65 hours
5. Suppose you invested PHP 25,000 at a simple interest at a rate of 2.5%, how much will be your investment after
10 years? a. PHP 43,750.00
C.PHP 45,730.00
b. PHP 31,250.00
d. PHP 47,350
Answer:
b. PHP 31,250.00
Step-by-step explanation:
Simple interest = principal × rate × time
Principal = PHP 25,000
Rate = 2.5%
Time = 10 years
Simple interest = principal × rate × time
= PHP 25,000 × 2.5% × 10
= 25,000 × 0.025 × 10
= 6,250
Simple interest = PHP 6,250
Investment after 10 years = principal + simple interest
= PHP 25,000 + PHP 6,250
= PHP 31,250
Investment after 10 years = PHP 31,250
if XY=10 and YZ=8.5 then XZ must be greater that ______, and less than _____.
Answer:
Your answer is
1.5<XZ<18.5
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need help with all 3 pleaseeee