Answer:
Step-by-step explanation:
Length, L = 2x + 2
Width, W = 3x
Height, H = 4x - 2
[tex]Surface\ Area = 2 (LW + WH + HL)\\\\[/tex]
[tex]= 2 ( (2x +2)(3x) + (3x)(4x -2) + (4x - 2)(2x + 2))\\\\=2(6x ^2 + 6x + 12x^2 - 6x + 8x^2 + 8x - 4x - 4)\\\\=2(26x^2 +4x -4) \ square \ units[/tex]
[tex]Volume = L \times W \times H[/tex]
[tex]= (2x+2)(3x)(4x-2)\\\\=(6x^2 + 6x)(4x-2)\\\\=24x^3 -12x^2 + 24x^2 - 12x\\\\=24x^3 +12x^2 -12x \ cubic \ units[/tex]
yesterday Grace drove 41 1/2 Miles she used 1 1/4 gallons of gasoline which is the unit rate for miles per gallon
Answer:
The answer should be 41 miles per hour
Step-by-step explanation:
Two spotters of tornado are on a road running east-west and are 35 miles apart. The west man spots a tornado at bearing N 43° E and the east man spots the same tornado on a bearing of N 59° W. How far is the tornado from each man and how far is the tornado from the road?
The distance between the tornado, and both spotters is an illustration of bearing and distance.
The distance between the tornado and the spotter at the west is 30.67 milesThe distance between the tornado and the spotter at the east is 24.40 milesThe distance between the tornado and the road is 20.91 milesSee attachment for the positioning of the tornado, and the two spotters.
First, we calculate the angle T.
[tex]\mathbf{\angle T + 43 + 59 = 180}[/tex] ---- Sum of angles in a triangle
[tex]\mathbf{\angle T +102 = 180}[/tex]
Subtract 102 from both sides
[tex]\mathbf{\angle T = 78}[/tex]
From the attached figure:
y represents the distance between the tornado and the spotter at the westz represents the distance between the tornado and the spotter at the east x represents the distance between the tornado and the roadTo calculate y, we make use of the following sine formula
[tex]\mathbf{\frac{y}{sin(59)} = \frac{35}{sin(78)}}[/tex]
Make y the subject
[tex]\mathbf{y = \frac{35}{sin(78)} \times sin(59)}[/tex]
[tex]\mathbf{y = 30.67}[/tex]
To calculate z, we make use of the following sine formula
[tex]\mathbf{\frac{z}{sin(43)} = \frac{35}{sin(78)}}[/tex]
Make z the subject
[tex]\mathbf{z = \frac{35}{sin(78)} \times sin(43)}[/tex]
[tex]\mathbf{z = 24.40}[/tex]
Next, we calculate x, using the following sine trigonometry ratio
[tex]\mathbf{sin(59) = \frac{x}{z}}[/tex]
Make x the subject
[tex]\mathbf{x = z \times sin(59)}[/tex]
Substitute [tex]\mathbf{z = 24.40}[/tex]
[tex]\mathbf{x = 24.40 \times sin(59)}[/tex]
[tex]\mathbf{x = 20.91}[/tex]
Hence, the required distances are 30.67 miles, 24.40 miles and 20.91 miles.
Read more about bearing and distance at:
https://brainly.com/question/19017345
Oliver drove the first 90 miles of his journey in 1.5 hours and the remaining 120 miles in 3 hours. What was the total average speed?
Answer:
46.6666667
Step-by-step explanation:
we need to know the TOTAL average speed. To do that, we need to know how to get the speed, which is distance/time. Now we have to substitute. The equation we get is: s= (90+120)/(1.5+3). After solving, you should get s= (210miles)/(4.5hrs). Now all we have to do is divide, which equals 46.6666667.
Hope this helps! (:
The required average speed of Oliver is 46.67 miles per hour.
Given that,
Oliver drove the first 90 miles of his journey in 1.5 hours and the remaining 120 miles in 3 hours, what was the total average speed is to be determined.
Speed is defined as when an object is subjected to move, the distance covered by the object in a certain time interval is the speed of that object.
What is average?The average of the values is the ratio of the total sum of values to the number of values.
Here,
Total distance traveled = 90 + 120 = 210 miles
Total time taken = 1.5 + 3 = 4.5 hours
Average speed = distance / time
= 210 / 4.5
= 46.67 miles per hour
Thus, the required average speed of Oliver is 46.67 miles per hour.
Learn more about averages here:
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Give the following number in Base 10. 111112 = [ ? ]10
I assume you're given the binary number, 11111₂. Expanding the digits in base 10, this is the same as
1•2⁴ + 1•2³ + 1•2² + 1•2¹ + 1•2⁰
= 16 + 8 + 4 + 2 + 1
= 31
14. As x increases in the equation 3x – 2y = 6, the value of y
a. increases
b. decreases
c. does not change
d. cannot be determined
Over a 5-hour period, the
temperature dropped a total of
12. If the temperature is now
72", what was the temperature at
the beginning of the 5-hour
period?
Answer:
12°F
Step-by-step explanation:
Temperature dropped
2°F
every
1
hour
After
6
hours
6
hours
×
2°F drop
1
hour
=
12°F drop
There is a drop in
12°F
Help me on 1. Please
Which expression does the graphic represent?
Answer:
8-1 if im correct and thank me
Step-by-step explanation:
Ms. Knight's two cooking classes are
making a total of 30 sweet potato
pies. Each pie requires 2 % sweet
potatoes. Her first class makes 1/3 of
the total number of pies needed.
Exactly how many sweet potatoes
will her second class need in order to
make the remaining pies?
Answer:
33
Step-by-step explanation:
Identify the terms and coefficients of −4 √ x + y − 5x
Answer:
The coefficient of -4√x is -4; that of y is 1; and that of -5x is -5.
Step-by-step explanation:
The terms include -4√x, y, -5x.
The coefficient of -4√x is -4; that of y is 1; and that of -5x is -5.
Find the value of x that will make A||B.
A
B
4x
(3x + 10
X =
[?]
Enter
- BRAINLIEST answerer ❤️✌
The value of the variable 'x' by the corresponding angles property will be 10.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.
From the diagram, by the corresponding angles property, the equation is given as,
4x = 3x + 10
Simplify the equation, then we have
4x = 3x +10
x = 10
The value of the variable 'x' by the corresponding angles property will be 10.
More about the angled link is given below.
https://brainly.com/question/15767203
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nnnnnnnnnnnnjnjnnnnnnnjjjnjnjhj
Answer:
Thank you for the points and you sertanly right
Step-by-step explanation:
Answer:
7:3 35:65 56/104 14/26
Step-by-step explanation:
You can pick three!
Which is more, 9 pints or 16 cups?
Answer:
9 pints
Step-by-step explanation:
there are two cups in a pint, so we need to divide 16 by 2 to convert the cups to pints.
16 ÷ 2 = 8
9 is greater than 8, so 9 pints.
What is Mount Denali climate
Answer:
The highest recorded temperature in the national park is 91 degrees. Overall, in the north and south part of Denali, the average temperatures fluctuate between 50 and 60.Summers are short in Denali, and visitors should be prepared for cold, rain and even snow in mid-to-late August.
Round 45.395 to the nearest hundredth
Aloha!
Looking for some help with an Algebra 1 equation please. See photo below.
Answer:
3, 0
Step-by-step explanation:
So, if we rewrite our given equation to have its 0x its easier to picture factorising it.
Factorise into (x+3)(x-3)
Make this equation equal to zero
Solve for your two pairs, -3, 0 (which was given in the question- I wrote this in green)
and 3, 0 (I wrote this in blue)
9514 1404 393
Answer:
(-3, 0) (given) and (3, 0)
Step-by-step explanation:
Apparently, the "solution" you're looking for is the solution to f(x) = 0.
To find the solutions, look for table values where y = 0. The solutions are the corresponding x-values. The (x, y) pairs that are solutions can be read from the table:
(-3, 0) and (3, 0)
Help to find the correct answer please
Answer:
The slope is -3/2
The y intercept is (0, -5) :)
Step-by-step explanation:
the slope is whatever is times by x
the y intercept is what’s being subtracted by it
The values of m and b from the equation of the given line are;
m = -3/2 and b = -5
Slope intercept formWe are given the equation;. y = -(3/2)x - 5
Now, the general form of an equation of a line in slope intercept form is;
y = mx + b
Where;
m is slope
b is y-intercept
Thus, comparing the general form to our given equation, we can see that;
m = -3/2 and b = -5
Read more about slope intercept form at; https://brainly.com/question/1884491
- Find the final price of a $13.00 tank top after a 30%
discount and 2% tax.
Answer:
i have no clue use guath math
Step-by-step explanation:
8. Use mental math to multiply. a) 235 times 0.1, b) 235 times 0.01, c) 876 times 0.01, d) 876 times 0.001,
Step-by-step explanation:
235•0.1=23.5
235•0.01=2.35
876•0.01=87.6
876•0.001=8.76
Answer:
23.5, 2.35
8.76, 0.876
Step-by-step explanation:
REALLY URGENT!!!
Question: Find the equation of the line specified.
Perpendicular to 3x + y = -7 and passing through (1,8)
(i really need an explanation on how to do this)
Answer:
[tex]y=\frac{1}{3}x+7.6666[/tex]
Step-by-step explanation:
First we must convert [tex]3x+y=-7[/tex] into slope-intercept form!
To do this we simply just need to subtract -3x from the 3x on the left and move it to the right side. This would result in: [tex]y = -3x-7[/tex]
Now that we have our slope-intercept form for the equation remember that to find the equation that is perpendicular to the given equation, you need to use the opposite reciprocal of the slope. This would be [tex]\frac{1}{3}[/tex] as that is the reciprocal and opposite of [tex]-\frac{3}{1}[/tex]
Now in order to find the "b" variable of the equation that goes through the ordered pair (1, 8) we need to plug it in to the given equation!
That equation would be: [tex]y=\frac{1}{3}x-7[/tex]
Given that x = 1 and y = 8 we can plug those in like so:
[tex]8=\frac{1}{3}(1)+b[/tex]
(make sure to set the -7 to b as that's what we're solving for)
1 / 3 is 0.3333 (infinitely repeating)
Next we need to subtract 0.3333 from 8, which would be 7.6666 (infinitely repeating) Remember that the variable needs to be "alone"!
Now we have our "b" for the equation! Hence the equation would be:
[tex]y=\frac{1}{3}x+7.6666[/tex]
(you can also use [tex]\frac{23}{3}[/tex] for the b as that is the "exact form" of 1 / 3 but they both work)
Hope this helps! Feel free to ask questions!
(5x+30 what is the value of x
Plzzzz help
ANSWER: 5 (× + 6)
Step-by-step explanation:
Hope this helpಠ◡ಠ
have a good day!❤️
What is greater 4 7/10 or 4.75
Answer:
4.75
Step-by-step explanation:
helppddcskdilfsl
are of a trapuiezuim
Step-by-step explanation:
that is the step by step
brainliest please
HELP NEED NOW !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
...
Step-by-step explanation:
...
Write three numbers that round to 80,000 when rounded to the nearest ten thousand
Answer:
79,000 78,000 77,000
Step-by-step explanation:
Looking at the number behind the ten-thousands place, the number being higher than five makes the seven round up to 8
Solve equation for 5(x - 3) + 2 = 5(2x - 8) - 3
Answer:
Easy pie
Step-by-step explanation:
5(x - 3) + 2 = 5(2x - 8) - 3
5x - 15 + 2 = 10x - 40 - 3
5x - 10x = 15 - 2 - 40 - 3
-5x = -30
5x = 30
x = 6
Find the value of x
Answer:
2
Step-by-step explanation:
please mark brainiest hope it works out for you
2. A line goes through the points (4, 5) and (2, -6). Write the equation of the line in slope-intercept form. Show your work for full credit. (How did you go from those two points to having the equation in slope-intercept form? Or, how did you go form having the equation in point-slope form [above in #1] to slope- intercept form?). Do not draw graphs, I want you to complete this problem algebraically (Using numbers, variables, and/or symbols). Circle your answer. (4 points)
Answer:
y = 5.5x - 17
Step-by-step explanation:
(4,5)(2,-6)
M = ∆y/∆x-6-5/2-4-11/-2 this is the gradientchose any of the point then introduce another point(4,5) (x,y) the gradient is -11/-2M =∆y/∆x y-5/x-4 = -11/-2-2(y-5) = -11 ( x -4)-2Y + 10 = -11x + 44-2Y = -11x + 44 -10-2Y = -11x + 34divide the while equation by -2y = 5.5x + - 17 y= 5.5x - 17What is each percent of change? round to the nearest whole percent if necessary. Is the percent of change an increase or decrease? $300 to $200
Answer:
33.3333 percent dectearse
f(x) -2x-6 and g(x)=3x+9 find (f-g)(x)
9514 1404 393
Answer:
(f -g)(x) = -5x -15
Step-by-step explanation:
(f -g)(x) = f(x) -g(x) = (-2x -6) -(3x +9) = -2x -6 -3x -9
(f -g)(x) = -5x -15