Answer:
56.52cm²
Step-by-step explanation
Lateral surface area = 2πrh
Given
r = 3cm
h = 3cm
Substitute
Lateral surface area = 2 * 3.14 * 3 * 3
Lateral surface area = 56.52cm²
Answer: 56.52
Step-by-step explanation: 3*3*3.14*2
Scott bought a pen and received change of $4.75 in 25 coins, all dimes and quarters. How many of each kind did he receive?
Answer:
He received 10 dimes and 15 quarters.
Step-by-step explanation:
Dimes = $0.10
Quarters = $0.25
Variable x = dimes
Variable y = quarters
Create a pair of linear equations:
0.10x + 0.25y = 4.75
x + y = 25
Isolate any variable, using an equation of your choice:
x + y = 25
x = 25 - y
Plug in this new value of x into the other equation:
0.10(25 - y) + 0.25y = 4.75
Use the distributive property:
2.5 - 0.10y + 0.25y = 4.75
Combine like terms:
2.5 + 0.15y = 4.75
Isolate variable y:
0.15y = 2.25
y = 15
Plug in the value of y into any equation:
x + y = 25
x + 15 = 25
Isolate variable x:
x = 10
A house on the market was valued at $472,000. After several years, the value increased by 19%. By how much did the house's value increase in dollars? What is the current value of the house?
Step-by-step explanation:
Increase in dollars
19/100 x 472.000 = $89,670
and the current value house is $472,000 + $89,670 = $561,680
Can someone help me with this math homework please!
Answer:
it is the second statement x⇒∞ Y⇒ ∞
Step-by-step explanation:
Answer:
As the x -values go to positive infinity, the functions values go to positive infinity.
Step-by-step explanation:
Find the value of x. Round to
the nearest tenth.
Answer:
80.4
Step-by-step explanation:
tan15=x/300
300tan(15)=80.38
What is the length of the line? Answer choices:
8
12
Square root of 60
Square root of 136
Distance between two points
Answer:
I think the answer. is 10
Answer:
square root of 136
Step-by-step explanation:
Khan Academy Answer
pls help thank u so very much
Answer:
D
Step-by-step explanation:
The parent function is
[tex]f(x) = \sqrt[3]{x} [/tex]
g(x) translates to the right 2 units so we can represent this as
[tex] \sqrt[3]{x - 2} [/tex]
G(x) is shifted up 1 so our function is now
[tex] \sqrt[3]{x - 2} + 1[/tex]
X=3g+2 make g the subject
[tex]\huge \boxed{g=\frac{x-2}{3} }[/tex]
Answer:
[tex]g=\frac{x-2}{3}[/tex]
Step-by-step explanation:
Hi there!
[tex]x=3g+2[/tex]
We can make g the subject by using inverse operations to cancel values out. For example, 2 is being added to 3g. To move it, we can subtract 2 from both sides:
[tex]x-2=3g+2-2\\x-2=3g[/tex]
Now, to move the 3, divide both sides by 3:
[tex]\frac{x-2}{3}=\frac{3g}{3} \\\frac{x-2}{3}=g[/tex]
I hope this helps!
State what additional information is required in order to know that the triangle in the image below are congruent for the reason given…
Reason: HL Postulate
Answer:
FG ≈ FL (Both are hypotenuse, supposed to be equal in order to the congruency to become HL)
Answered by GAUTHMATH
how many numbers are there from x through 7x-8
find the missing length indicated
Answer:
25+144+X=180°
169+X=180°
X= 180-169
Therefore, x= 11°
checking process: (25+144+11= 180°)
Answer:
x = 11 i beileve!
Step-by-step explanation:
prove that √2 + √3 is irrational
Step-by-step explanation:
Let √2 + √3 be a / b.
a and b are co - primes.
a and b have 1 as a common factor.
√2 + √3 = a / b
( √2 + √3 )^2 = ( a / b )^2
(√2)^2 + (√3)^2 + 2.√2.√3 = a^2 / b^2
2 + 3 + 2.√2.√3 = a^2 / b^2
5 + 2.√2.√3 = a^2 / b^2
2.√2.√3 = ( a^2 / b^2 ) - 5
2.√2.√3 = ( a^2 - 5b^2 ) / b^2
√2.√3 = ( a^2 - 5b^2 ) / 2b^2
a and b are not co - primes, as they more than 1 as a common factor.
So,
√2 + √3 is irrational.
Hence, proved.
Identifying Types Of Angles: Check all relationships between angle 1 and angle 2.
Am I doing this right?
#1. Vertical
#2. Adjacent, Complementary
#3. Adjacent, Linear Pair, Supplementary
---A linear pair forms a line, which is equal to 180 degrees
#4. Adjacent
#5. Vertical, Complementary
#6. Vertical, Supplementary
---There is a 90 degree angle within this problem. If one angle is 90 degrees, then they are all 90 degrees, which makes the sum of angle 1 and 2 = 180. So, they are supplementary.
Hope this helps!
The relationship between angle 1 and 2 are as follows:
1. ∠1 ≅ ∠2 (vertical angles)
2. ∠1 and ∠2 are adjacent and complementary angles.
3. ∠1 and ∠2 are linear pairs and supplementary angles
4. ∠1 and ∠2 are adjacent angles
5. ∠1 and ∠2 are vertical angles
6. ∠1 and ∠2 are vertical angles and supplementary angles.
1.
Vertical angles:Vertical angles that are pair of opposite angles formed by intersecting lines. Vertical angles share the same vertex.Therefore,
∠1 ≅ 2 (vertical angles)
2.
Adjacent angles:Adjacent angles have common sides and common vertexComplementary angle :This angles sum up to 90 degrees.Therefore,
∠1 and ∠2 are adjacent and complementary angles.
3.
Linear pair angles:This is a pair of adjacent angles form when two lines intersect. It sum up to 180 degrees. Supplementary angles:Supplementary angles are angles that sum up to 180 degrees.∠1 and ∠2 are linear pairs and supplementary angles.
4.
∠1 and ∠2 are adjacent angles
5.
∠1 and ∠2 are vertical angles
6.
∠1 and ∠2 are vertical angles and supplementary angles
learn more on angles here: https://brainly.com/question/18166236?referrer=searchResults
Correct and fastest answer gets brainest! 12 divided 2/5
30
Answer:
12÷2/5=12*5/2=30 is a required answer
Answer:
30
Step-by-step explanation:
Please help me with this
Answer:
Step-by-step explanation:
Answer by G a u t h m a t h
6. Solve the triangle by finding the length of DF and the measures of all the angles. For side lengths, round to the
nearest tenth. For angles, round to the nearest degree. (2 points)
D
5 ft
E
DF =
D
LE=
5.83 ft
ZF =
F
Answer:
∠F = 59°
∠E = 31°
DF = ≅ 3 (2.98)
Step-by-step explanation:
What is the midpoint of the line segment graphed below?
(-1,2)
(9,5)
Answer:
1,3
Step-by-step explanation:
Answer:
(4, 2.5 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (9, 5) , then
midpoint = ( [tex]\frac{-1+9}{2}[/tex], [tex]\frac{2+5}{2}[/tex] ) = ( [tex]\frac{8}{2}[/tex], [tex]\frac{7}{2}[/tex] ) = (4, 3.5 )
once again i’m in a pickle please help
Answer:
19
Step-by-step explanation:
You will need expand so you can plug in the givens
Quotient rule: log(b^7)-[log(a^5c^6)]
Product rule: log(b^7)-[log(a^5)+log(c^6)]
Distribute: log(b^7)-log(a^5)-log(c^6)
Power rule: 7log(b)-5log(a)-6log(c)
Plug in: 7(4)-5(3)-6(-1)
Simplify: 28-15+6
Simplify: 13+6
Simplify: 19
can someone please help
Answer:
see image
Step-by-step explanation:
Find the area of the shaded region 6cm 6cm
cos theta / sec theta -1 - sin theta / 1+cos theta = 2 cot theta
Step-by-step explanation:
Explanation is in the attachmentHope it is helpful to you
The difference between 15 and 9 is subtracted from 5 times the sum of 7 and 3
Answer:
44
Step-by-step explanation:
The difference between 15 and 9 is 6. 5 times the sum of 7 and 3 is 50 because 7+3=10 and 10 times 5 is 50. So if you subtract the difference between 15 and 9 from 50 you get 44.
Easton is deciding between two landscaping companies for his place of business. Company A charges $25 per hour and a $150 equipment fee. Company B charges $35 per hour and a $100 equipment fee. Let AA represent the amount Company A would charge for tt hours of landscaping, and let BB represent the amount Company B would charge for tt hours of landscaping. Write an equation for each situation, in terms of t,t, and determine the number hours, t,t, that would make the cost of each company the same.
Answer:
5 hours
Step-by-step explanation:
Company A:
Charge for an hour =$ 25
Charge for 't' hours = 25 *t = 25t
Total cost = Equipment fee + charge for t hours
AA = 150 + 25t
Company B:
Charge for an hour =$ 35
Charge for 't' hours = 35 *t = 35t
Total cost = Equipment fee + charge for t hours
BB = 100 + 35t
BB = AA
100 + 35t = 150 + 25t
Subtract 25t from both sides
100 + 35t - 25t = 150
100 + 10t = 150
Subtract 100 from both sides
10t = 150 - 100
10t = 50
Divide both sides by 10
t = 50/10
t = 5
What is sciences technoligy ?
Answer:
See both definitions below
Step-by-step explanation:
Let us define science
Science is a body of knowledge, it is a systematic application of knowledge and understanding of the natural and social world following a systematic methodology based on evidence.
Let us define Technology
Simply put, technology is the application of scientific knowledge
Answer:
Simply put, technology is the application of scientific knowledge Step-by-step explanation:
gcf of 46gh and 6g^3h^6?
Answer: 2gh
polynomial factoring [tex]\displaystyle\ 46gh=\boldsymbol{2 \cdot gh}\cdot 23 \\\\6g^3\cdot h^6= \boldsymbol{2 \cdot gh}\cdot 3 \cdot g^2\cdot h^5[/tex] accordingly, the highlighted part is the GFC of both numbers then [tex]\displaystyle\boldsymbol{ GFC(46gh \ ; \ 6g^3h^6)=2gh}[/tex]Can someone help please please
Answer:
c!
Step-by-step explanation:
Tre and Hector want to calculate the maximum possible throw at this field.
They calculate that the farthest point on the field would be the center fielder standing back at the dead center wall at point (322, 322). Suppose the center fielder threw the ball from here to home base.
How far is the throw?
Answer:
[tex]d=455.38~units[/tex]
Step-by-step explanation:
The coordinates of the dead center of the field, [tex]D\equiv (322,322)[/tex]
Home base in a coordinate system is always the origin, [tex]O\equiv(0,0)[/tex]
The center fielder threw the ball form the dead center to the home base, hence the distance of throw:
[tex]d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
[tex]d=\sqrt{(322-0)^2+(322-0)^2}[/tex]
[tex]d=455.38~units[/tex]
Answer:Hector threw the ball 65 feet while Tre threw the ball 63 feet far
Step-by-step explanation:
The farthest throw would probably be around 450 feet
An angle measures 73.6° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
Smaller angle = 53.2
Larger angle = 126.8
Step-by-step explanation:
Lets say x is the measure of the supplement. Since we know they're supplementary, we know their angle measure sum will equal 180. We can set up our equation like this [tex]x + (x-73.6) = 180[/tex]. Note: (x - 73.6) is the measure of the smaller angle. By solving, we get 126.8 degrees for the measure of the supplement. If we plug in the value of x into (x-73.6), we get 53.2 degrees as the angle measure of the smaller angle.
Paisley has 8\tfrac{1}{4}8 4 1 cups of yogurt to make smoothies. Each smoothie uses \tfrac{11}{16} 16 11 cup of yogurt. How many smoothies can Paisley make with the yogurt?
Given:
Total Yogurt = [tex]8\dfrac{1}{4}[/tex] cups
Yogurt required for each smoothie = [tex]\dfrac{11}{16}[/tex] cup
To find:
The number of smoothies that Paisley can make with the yogurt.
Solution:
We know that,
[tex]\text{Number of smoothies}=\dfrac{\text{Total yogurt}}{\text{Yogurt required for each smoothie}}[/tex]
Substituting the given values, we get
[tex]\text{Number of smoothies}=\dfrac{8\dfrac{1}{4}}{\dfrac{11}{16}}[/tex]
[tex]\text{Number of smoothies}=8\dfrac{1}{4}\times \dfrac{16}{11}[/tex]
[tex]\text{Number of smoothies}=\dfrac{32+1}{4}\times \dfrac{16}{11}[/tex]
[tex]\text{Number of smoothies}=\dfrac{33}{4}\times \dfrac{16}{11}[/tex]
[tex]\text{Number of smoothies}=3\times 4[/tex]
[tex]\text{Number of smoothies}=12[/tex]
Therefore, the number of smoothies is 12.
Please help! Identify an equation in point-slope form for the line parallel to y=3/4x-4 that passes through (-1,7).
If the speed of an object in motion is doubled, its kinetic energy becomes how many times the original kinetic energy
Answer: Becomes four times
Step-by-step explanation:
Given
Speed is doubled for a moving object
Suppose initial speed is u
Increased speed is 2u
Kinetic Energy is given by
[tex]\Rightarrow K=0.5mu^2[/tex]
When speed is doubled
[tex]\Rightarrow K'=0.5m(2u)^2\\\Rightarrow K'=(0.5mu^2)\times 4\\\Rightarrow K'=4K[/tex]
Kinetic energy becomes four times