Answer : 87.9 square inches
Given the following data
Radius of the cylindrical cup = 2 inches
Height of the cylindrical cup = 5 inches
Surface area is given as
[tex]\begin{gathered} A\text{ = 2}\pi rh\text{ + 2 }\cdot\pi\cdot r^2 \\ \text{Where }\pi\text{ = 3.14} \\ A\text{ = 2}\pi r(h\text{ + r)} \\ A\text{ = 2 x 3.14 x 2(5 + 2)} \\ A\text{ = 12.56(7)} \\ A\text{ = 12.56 x 7} \\ A=87.9inches^2 \end{gathered}[/tex]100 + (n - 2) ^ = 149 how do I solve this what is the first step??
The given expression is
[tex]100+(n-2)^2=149[/tex]First, we have to subtract 100 on each side
[tex]\begin{gathered} 100-100+(n-2)^2=149-100 \\ (n-2)^2=49 \end{gathered}[/tex]Hence, the answer is the first option, that's the first step.The reason for this first step is because we can't take a square root without getting rid of the terms 100, otherwise, the process would be wrong.
Identify an equation in point-slope form for the line parallel to y = 1/2x - 7 thatpasses through (-3,-2).
ANSWER:
D.
[tex]y+2=\frac{1}{2}(x+3)[/tex]EXPLANATION:
Given:
[tex]y=\frac{1}{2}x-7[/tex]Recall that the slope-intercept form of the equation of a line is generally given as;
[tex]y=mx+b[/tex]where;
m = slope of the line
b = y-intercept of the line
Comparing both equations above, we can see that the slope(m) of the line is 1/2 and the y-intercept(b) is -7
Recall that parallel lines have the same slope. So the line that is parallel to the given line will have the same slope(m) of 1/2
Given the point (-3, -2), we can go ahead and write the equation of the parallel line in point-slope form as seen below;
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ y-(-2)=\frac{1}{2}[(x-(-3)] \\ y+2=\frac{1}{2}(x+3) \end{gathered}[/tex]What is the value of h? 48 sqrt 3168 sqrt 2
From definition:
[tex]\sin (angle)=\frac{\text{opposite side}}{\text{ hypotenuse}}[/tex]From the picture:
[tex]\begin{gathered} \sin (45)=\frac{8}{h} \\ \frac{1}{\sqrt[]{2}}=\frac{8}{h} \\ h=8\cdot\sqrt[]{2} \end{gathered}[/tex]If you toss two dice, what is the probability that the sum of the dots is either 7 or 11?
sum of 7:
there are 6 combinations: (1,6) (6,1) (2,5) (5,2) (3,4) and (4,3)
[tex]=6\times\frac{1}{36}=\frac{6}{36}[/tex]sum of 11:
there are 2 combinations: (5,6) and (6,5)
[tex]=2\times\frac{1}{36}=\frac{2}{36}[/tex]thus the probability is
sum of 7 + sum of 11
[tex]\begin{gathered} =\frac{6}{36}+\frac{2}{36} \\ =\frac{8}{36} \\ =\frac{2}{9} \end{gathered}[/tex]therefore = 22%
The empty gas tank of a truck needs to be completely filled. The tank is shaped like a cylinder that is 4 ft long with a diameter of 1.6 ft. Suppose gas is poured into the tank at a rate of 1.9 ft^3 per minute. How many minutes does it take to fill the empty tank?
Use the value 3.14 for pi, and round your answer to the nearest minute. Do not round any intermediate computations.
Hence, the minutes it take to fill the empty tank is [tex]8.0384min[/tex].
What is the volume of cylinder?
The volume of a cylinder is the capacity of the cylinder which calculates the amount of material quantity it can hold.
In geometry, there is a specific volume of a cylinder formula that is used to measure how much amount of any quantity whether liquid or solid can be immersed in it uniformly.
Here given that,
The empty gas tank of a truck needs to be completely filled. The tank is shaped like a cylinder that is [tex]4[/tex] ft long with a diameter of [tex]1.6[/tex] ft. Suppose gas is poured into the tank at a rate of [tex]1.9ft^3[/tex] per minute.
Here,
[tex]d=1.6ft\\r=0.8ft\\h=4ft[/tex]
The general formula for the volume of cylinder is
[tex]V=\pi r^2h\\V=(3.14)(0.8)^2(4)\\V=(3.14)(0.64)(4)\\V=8.0384min[/tex]
Hence, the minutes it take to fill the empty tank is [tex]8.0384min[/tex].
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Jeremiah wants to send some of his shirts to a dry cleaner. He usually takes his shirts
to Spot-Less Dry Cleaners, where he pays $4.50 per shirt. He sees a sign at No Mess
or Stress Dry Cleaners that says it's $21.00 to have 4 shirts cleaned. Which is the
better deal?
Answer: Spot-less dry cleaners
Step-by-step explanation:
21/4=$5.25
$4.50<$5.25
Can you help me with this question? I have no other information.
Given,
The number of lawn mowed by Thomas is 35.
The amount of tip thomas got is $150.
The number of lawn mowed by Candice is 30.
The amount of tip Candice got is $275.
They charged equal price to mow each lawn.
Consider,
The amount of mowing the one lawn is x.
According to the question,
[tex]undefined[/tex]Solve the inequality - 12 > -16. Then graph the solution.
Solve the inequality c - 12 > -16.
[tex]\begin{gathered} c-12>-16 \\ c-12+12>-16+12 \\ c>-4 \end{gathered}[/tex]Plot the solution on the number line.
Find the missing side length and angles of ABC given that m A = 41°, b = 4, and c = 10.
To solve this question, we would use cosine rule which is given as
[tex]a^2=b^2+c^2-2bc\cos A[/tex]Our values have been defined for us and we will proceed to evaluate
[tex]\begin{gathered} a^2=4^2+10^2-2(4)(10)\cos 41 \\ a^2=16+100-80\cos 41 \\ a^2=116-60.376 \\ a^2=55.624 \\ \text{take the square root of both sides} \\ a=\sqrt[]{55.624} \\ a=7.458\approx7.5 \end{gathered}[/tex]From the calculations above, the value of the missing side a is 7.5 units
To find angle B,
we can use sine rule
[tex]\begin{gathered} \frac{a}{\sin A}=\frac{b}{\sin B} \\ \frac{7.5}{\sin 41}=\frac{4}{\sin B} \\ \sin B=\frac{4\times\sin 41}{7.5} \\ \sin B=0.3498 \\ B=\sin ^{-1}0.3498 \\ B=20.5^0 \end{gathered}[/tex]We can still approach C with sine rule or sum of angle in a triangle
[tex]\begin{gathered} A+B+C=180 \\ 41+20.5+C=180 \\ c=118.5^0 \end{gathered}[/tex]From the calculations above, the value of a = 7.5 , B = 22⁰ and C = 118.5⁰ respectively which is option B
Needing help with this practice problem please. Also, I need to show all work
ANSWER
L = 24 inches
W = 14 inches
EXPLANATION
Given tat
The length of the rectangular painting is 10 inches more than the width
Let the width of the rectangular painting be x
Recall, that the frame is 2 inches thick. This implies that there re 2 inches to the left ogf the length and 2 inches to the right of the length. So, there are more 4 inches to the length of the picture
Hence, the new length is
L = (x + 10) + 4
L = x + 10 + 4
L = x + 14
Also, for the width of the painting, we have
w = x + 4
Recall, that the area of a rectangle is given below as
Area = L x W
[tex]\begin{gathered} \text{ Area of a rectangle = L x W} \\ \text{ L = x + 14, and W = x + 4, and A = 336 in}^2 \\ \text{ 336 = \lparen x }+\text{ 14\rparen \lparen x }+\text{ 4\rparen} \\ \text{ Open the parentheses} \\ \text{ 336 = x}^2\text{ + 4x + 14x + 56} \\ \text{ 336 = x}^2\text{ + 18x + 56} \\ \text{ x}^2\text{ + 18x + 56 = 336} \\ \text{ x}^2\text{ + 18x + 56 - 336 =0} \\ \text{ x}^2\text{ + 18x - 280 = 0} \end{gathered}[/tex]Find the value of x by using factorizatin method
[tex]\begin{gathered} \text{ x}^2\text{ }+\text{ 28x - 10x - 280 = 0} \\ \text{ x\lparen x + 28\rparen - 10\lparen x + 28\rparen = 0} \\ \text{ \lparen x - 10\rparen \lparen x + 28 \rparen = 0} \\ \text{ \lparen x - 10\rparen = 0 or \lparen x + 28\rparen = 0} \\ \text{ x = 0 + 10 or x = 0 - 28} \\ \text{ x = 10 or x = -28} \end{gathered}[/tex]Find the length and the width of the rectngular painting
L = x + 14
L = 10 + 14
L = 24 inches
width
W = x + 4
W = 10 + 4
W = 14 inches
The percent markup on the cost price of a dress is the same as the cost price in dollars. If the dress is sold for $24, what was the cost price of the dress ?
Markup is the difference between a product's selling price and cost as a percentage of the cost.
If we call the cost of the dress as x, the markup is given by the following expression
[tex]markup=\frac{24-x}{x}\times100[/tex]The percent markup on the cost price of a dress is the same as the cost price in dollars, therefore, we can rewrite the previous expression as:
[tex]x=\frac{(24-x)\cdot100}{x}[/tex]Solving for x, we have:
[tex]\begin{gathered} x=\frac{(24-x)\cdot100}{x} \\ x^2=2400-100x \\ x^2+100x-2400=0 \\ \implies x=-120\:or\:x=20 \end{gathered}[/tex]Since we can't have a negative cost price, the markup is 20% and the cost price of the dress is $20.
give the function f(x)=-2x-5 determine the value of f(-3)
We have the next function
[tex]f(x)=-2x-5[/tex]And we must calculate f (-3).
To calculate it we must replace x = -3 in the function.
[tex]f(-3)=-2(-3)-5[/tex]Finally, we must simplify the answer
[tex]f(-3)=6-5=1[/tex]So, the answer is
[tex]f(-3)=1[/tex]2) Chang saves up enough money to surprise his momand buy her a new blouse for her birthday. The blousecosts about $70 and he uses a coupon for 20% off. Howmuch does he save by using the coupon?
2) Chang saves up enough money to surprise his mom and buy her a new blouse for her birthday. The blouse costs about $70 and he uses a coupon for 20% off. How much does he save by using the coupon?
_________________________________
coupon for 20% off
20% = 0.2
The total of 100% of the price minus the discount =
100% - 20% = 80% or 1- 0.2 = 0.8
So then,
$70* 0.8 = $ 56 he pays
70 - 56 = 14 he saves
__________________________
Answer
He saves 14 by using the coupon
____________________
70*0.2= 14
A company installs a rectangular septic tank 10 ft long by 15 ft wide and 8 ft deep. Calculate the capacity of the tank in gallons. (Use 1ft^3 = 7.48 gal.)The capacity of the tank is:enter your response here gallons. (Round to the nearest gallon as needed.)
To find the capacity in gallons we firs need to find the volume.
The volume is given by:
[tex]V=lwh[/tex]Plugging the values given we have:
[tex]V=(10)(15)(8)=1200ft^3[/tex]Now that we know that we need to convert it, to do this we multiply by the factor given:
[tex]1200(7.48)=8976[/tex]Therefore the capacity of the tank is 8976 gal
Which statement justifies why ∠ABF measures 130°?Given: angles ABD and DBC are complementary
SOLUTION:
We are to find the statement that justifies why
Given that
50 degrees +
In conclusion, the justified statement is "a linear pair is two adjacent, supplementary angles.
Answer:
B
Step-by-step explanation:
another person person said it was n had 5stars
which function is equivalent to y = 3(x + 4)² + 5?A) y = 3x² + 21B) y = 3x² + 24x + 63C) y = 3x² + 24x + 53D) y = 3x² + 8x + 21
Given: The function
[tex]y=3(x+4)^2+5[/tex]To Determine: The equivalent function of the given function
Solution:
Step 1: Expand the parenthesis
[tex]\begin{gathered} y=3(x+4)^2+5 \\ (x+4)^2=(x+4)(x+4) \\ (x+4)^2=x(x+4)+4(x+4) \\ (x+4)^2=x^2+4x+4x+16 \\ (x+4)^2=x^2+8x+16 \end{gathered}[/tex]Step 2: Substitute the expanded into the function
[tex]\begin{gathered} y=3(x+4)^2+5 \\ y=3(x^2+8x+16)+5 \\ y=3x^2+24x+48+5 \\ y=3x^2+24x+53 \end{gathered}[/tex]Hence, the equivalent function to the given is y = 3x²+24x+53, OPTION C
Identify the function shown in this graph. 5 4 3 2 과 2 பான் O A. y = x + 4 ос B. y=-x+4 C. y= x-4 D. y=-x-4
Given the graph of the line passes through the points ( -4 , 0 ) and ( 0 , 4 )
The general form of the line is : y = mx + b
where m is the slope and b is y-intercept
The slope will be calculated as following:
[tex]\text{slope}=m=\frac{y2-y1}{x2-x1}=\frac{4-0}{0-(-4)}=\frac{4-0}{0+4}=\frac{4}{4}=1[/tex]b = y intercept = ( the value of y when x = 0 )
So, as the line pass through the point ( 0 , 4 )
b = 4
so, the equation of the line is:
[tex]y=x+4[/tex]Complete the congruence statement.
Answer:
MCL
Step-by-step explanation:
Answer:
MCL
Step-by-step explanation:
the triangles are flipped in 2 directions so just write the angle like it’s opposite to each other
Hopes this helps please mark brainliest
write an equation for the graph below in terms of xy=______
Given the graph of a line.
We will write the equation of the line using two points lying on the line
As shown, the line passes through the points (0, 1) and (-1, 3)
The general equation of the line is: y = m * x + b
Where (m) is the slope and (b) is the y-intercept
We will find the slope as follows:
[tex]slope=m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}=\frac{3-1}{-1-0}=\frac{2}{-1}=-2[/tex]And the value of b = the value of (y) when x = 0
So, b = 1
So, the answer will be, the equation of the line:
[tex]y=-2x+1[/tex]is (18,302) a solution to the equation y=300?
No
Explanations:Note that:
the solutions to an equation are the values, if substituted into the equation, that will make the equation true.
The given equation is:
y = 300
(18, 302) means that x = 18, y = 302
Since the equation given is y = 300 and not y = 302, the point (18, 302) is not a solution to the equation.
Evaluate the function f(x) = 5 -√x at each specified value and simplify. 1. f(9)
Answer:
f(9)=2
Explanation:
The function f(x) is defined as follows:
[tex]f(x)=5-\sqrt[]{x}[/tex]To find the value of f(9), we substitute 9 for x in f(x) as follows:
[tex]\begin{gathered} f(9)=5-\sqrt[]{9} \\ =5-3 \\ =2 \end{gathered}[/tex]what is the prescribed dosage for a 4 yr old child, if the adult dosage is 180 milligram
In order to calculate the child's dosage, let's use the value of n = 4 and M = 180 in the formula, then we calculate the value of D:
[tex]\begin{gathered} D=\frac{n}{n+12}\cdot M \\ D=\frac{4}{4+12}\cdot180 \\ D=\frac{4}{16}\cdot180 \\ D=\frac{1}{4}\cdot180 \\ D=\frac{180}{4} \\ D=45 \end{gathered}[/tex]So the child's dosage is 45 milligrams.
Drag the red and blue dots along the x-axis and y-axis to graph 8x+2y=10
Solution
Writing in the form
[tex]\begin{gathered} y=mx+x \\ \\ \Rightarrow4x+y=5 \\ \\ \Rightarrow y=-4x+5 \end{gathered}[/tex]Which of the following represents the synthetic division form of the long division problem below? x - 3x+4/ x-5
The number on the left in the synthetic division form is the root of the divisor polynomial. The root of x-5 is 5
The numbers on the right are the coefficients of the dividend polynomial: 1 -3 4
The correct answer is option B
acellus
Find the point-slope equation for
the line that passes through the
points (9, -9) and (-2, 13). Use the first point in your equation.
Answer:
y = -2x + 9
Step-by-step explanation:
→ Find the change in x
13 --9 = 22
→ Find the change in y
-2 - 9 = -11
→ Divide to find gradient
22 ÷ -11 = -2
→ Write in standard form
y = -2x + c
→ Substitute in ( 9 , -9 )
-9 = -18 + c
→ Find c
c = 9
→ Write in specified form
y = -2x + 9
To solve the equation 2x - 6 = 30 by balancing, what would be step?
Given the equation
[tex]2x-6=30[/tex]To solve the equation means to determine the value of x, so your objective will be to isolate the x term in one side of the equal sign.
To do this using the balancing method, you have to "pass" all unrelated terms to the other side if the equal sign by performing the oposite operation.
So, first step is to pass -6 to the other side by adding it to both sides of the equation
[tex]\begin{gathered} 2x-6+6=30+6 \\ 2x=36 \end{gathered}[/tex]Next, the x term is being multiplied by 2, to cancel this multiplication you have to divide it by 2. And, to keep the equality valid, any operation performed in one side of the equal sing must be performed on the other side so, divide 36 by 2 too.
[tex]\begin{gathered} \frac{2x}{2}=\frac{36}{2} \\ x=18 \end{gathered}[/tex]The size, x, in an automobile tire can affect its performance. Both over-sized and under-sized tires can lead to poor performance and poor mileage. The tire size that yields the best performance for the car Michael wants is given by 0.2(x - 25.5) + 0.3 = - 0.2(x - 16).Find the tire size that will yield the best performance for Michael’s car.
The tire size that will yield the best performance for Michael’s car is 20.
The equation given is,
0.2(x - 25.5) + 0.3 = - 0.2(x - 16)
From this, we have to solve for x, which will give the size of the tire.
Simplify the equation as follows to find x,
0.2(x - 25.5) + 0.2(x - 16) = - 0.3
0.2x - (0.2 × 25.5) + 0.2x - (0.2 × 16) = - 0.3
0.2x - 5.1 + 0.2x - 3.2 = - 0.3
0.4x - 8.3 = - 0.3
0.4x = - 0.3 + 8.3
0.4x = 8
x = 8/0.4 = 20.
Increasing the wheel diameter also increases the final deceleration which has two consequences. Acceleration potential is reduced but a higher final speed is achieved. In other words, the bigger the car's tires the slower it accelerates but the higher its top speed.
We recommend choosing smaller wheels for more power and as many times as possible for maximum traction. On average, a 15 x 3.75 or larger front wheel gives the best results. For the rear, a 15 x 10 wheelset is ideal.
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Find the value of x that will make A B5x + 20А.B3x + 60x = [?]
x = 20
Using the alternate exterior angles theorem, it was stated the exterior ang
The total points scored in the games of an NBA playoff series:195 177 215 200 189 232 201 199 192 201 Round any of the following answers to 1 decimal if needed. If there is no mode type NONE in the answer box.Mean = Median = Mode = Maximum = Minimum =
Solution
Step 1:
Arrange the number in ascending order of magnitude.
177, 189, 192, 195, 199, 200, 201, 201, 215, 232
Step 2:
[tex]\begin{gathered} Mean=\frac{177+189+192+195+199+200+201+201+215+232}{10} \\ \\ Mean\text{ = }\frac{2001}{10} \\ \\ Mean\text{ = 200.1} \end{gathered}[/tex][tex]\begin{gathered} Median\text{ = }\frac{199+\text{ 200}}{2}\text{ } \\ \\ Median\text{ = }\frac{399}{2} \\ \\ Median\text{ = 199.5} \end{gathered}[/tex]Mode is the most occurring number.
Mode = 201
Maximum = 232
Minimum = 177
Hi, can you help me answer this question, please, thank you!
Given:
mean, u = 0
standard deviation σ = 1
Let's determine the following:
(a) Probability of an outcome that is more than -1.26.
Here, we are to find: P(x > -1.26).
Apply the formula:
[tex]z=\frac{x^{\prime}-u}{\sigma}[/tex]Thus, we have:
[tex]\begin{gathered} P(x>-1.26)=\frac{-1.26-0}{1} \\ \\ P(x>-1.26)=\frac{-1.26}{1}=-1.26 \end{gathered}[/tex]Using the standard normal table, we have:
NORMSDIST(-1.26) = 0.1038
Therefore, the probability of an outcome that is more than -1.26 is 0.1038
(b) Probability of an outcome that