#3 is 1920 cubic inches
#4 i cant see the shape
Explanation:
the height is 1 inch so we can disregard that.
58 squared minus 38 squared is 1920 because if it was a square it would be side length 58 but we have to subtract 20 to find what is missing.
I need to know that answer please help if you can
Answer:
$180
Step-by-step explanation:
y = 30x +150
30(1) + 150
= 180
Jack bought a 1/4 pound of salami and 1 2/3 pounds of Ham at the deli. Both items are on sale for $12 per pound. What is the total cost?
Answer:
Salami: $3.00
Ham: $ 8.00
Step-by-step explanation:
12 * 1/4 = 12/4 = $3.00
12 * 2/3 = 24/3 = $8.00
What equals 10³ I need to know
Answer:
1,000
Step-by-step explanation:
10 x 10 x 10 = 1,000
1000
Step-by-step explanation:
10³
=10×10×10
1000
The variable r is directly proportional to the square of t, and r = 144 when t = 72.
Write the equation that expresses the relationship between the variables. (Let k represent the variation constant.)
Using the given data, solve for the variation constant k.
Answer:
k=0.023
Step-by-step explanation:
[tex]r \alpha {t }^{2} \\ r = k {t}^{2} \\ 144 = k \times {72 }^{2} \\ k = \frac{144}{ {72 }^{2} } \\ k = 0.023 \\ the \: eqn \: is \: therefore \\ r = 0.023 \times {t}^{2} [/tex]
The equation that expresses the relationship between the variables is r=kt and the variation constant k=2.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
Given that, the variable r is directly proportional to the square of t
Now, r∝t
r=kt
Here, r =144 when t =72
Thus, 144=k×72
k=2
Therefore, the equation that expresses the relationship between the variables is r=kt and the variation constant k=2.
To learn more about the proportional relationship visit:
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Total consumption of fruit juice in a particular country in 2006 was about 1.41 billion gallons. The population of that country in 2006 was 400 million. What was the average number of gallons of fruit juice consumed per person in the country in 2006? Use pencil and paper. Using the per person amount from this problem, about how many gallons would your class consume?
Answer:
3.525 gal/person
Step-by-step explanation:
My class would consume 52.875 gallons
The question is in the image! Please answer quickly.
Answer:
She thought the multiplication symbol was the addition symbol
actual answer: 1.39 x 10^12
Step-by-step explanation:
If it was addition, then she’d be correct;
6.75x10^6 + 0.2x10^6
= (6.75 + 0.2)x10^6
= 6.95x10^6
But really, it was a multiplication, meaning the answer really is;
(6.95x10^6)x(0.2x10^6)
= 1.39 x 10^12
The circle graph shows a family budgets it’s annual income.if the total annual income is 140,000, what amount is budgeted for auto expenses?
Answer: The amount budgeted for Auto Expenses is $18,200
Step-by-step explanation:
13 Percent of $140,000 is $18,200
0.13 times 140,000 :-)
Write $1.50 to $12.00 as a ratio in fraction form in lowest terms.
Answer:
1/8
Step-by-step explanation:
Log2(x-1)+Log2(x+2) =2
Find X
What is the length of BC in the right triangle below?
Answer:
A. 122
Step-by-step explanation:
in right-angle triangle,
AB² + AC² = BC²
22²+120² = BC²
2²×11² + 2⁶×5²×3²= 2²(121+16×25×9)
4(121+3600) = 14884
BC=√14884 = 122
Hello can someone please help me with this
Answer:
I would assume it is c. 1, because of rounding, but I'm only 70% sure.
The lcm of 5^3 and 5^2 is?
Answer:
5³
Step-by-step explanation:
5³ is the answer since it's the greater between the two numbers
Answer:
125
Step-by-step explanation:
This is because 5^2 *5 is 125 and 5^3 * 1 = 125 and the findings are both numbers have to be multiplied by a whole number to quantify a same identical multiple total number - we can check this by dividing by the smallest 125/5^2 = 5 and then the largest is 125/5^3 = 1 and we know there could not be a smaller whole number - The other workings would be to do a prim e factor tree of 125 = 5 25 5 and 5 = 5^3 and here we are told 5^3 is a multiple of 125 and 5^2 is also a multiple of 5^3 as it square fits 5 times into 125 as 5*25 is 125
This graph shows a system of equations what is the solution to the system of equations 1.(-2,2) 2.(2,2) 3.(2,-2) 4.(-2,-2)
Answer:
I honestly don't know that fashoo
There are 594 calories in six ounces of a certain ice cream. How many calories are there in two pounds?
1 pound=16 ounces
Before you try that problem, answer the question below.
How many ounces will you need to find the number of calories for?
Answer:
3,168 cal= 2lbs of Ice Cream
Step-by-step explanation:
I need to fin how many calories are in two pounds of that ceratin ice cream.
594cal/6=99cal
99cal=1 oz
16oz x 2 = 32oz
99 x 32 = 3,168 cal
There is 3,168 cal in two pounds of ceratin ice cream.
Solve the inequality 10y−3(y+2)>2y+4, and write the solution in interval notation.
Step-by-step explanation:
10y - 3(y + 2) > 2y + 4
10y - 3y - 6 > 2y + 4
(10 - 3 - 2)y > 4 + 6
5y > 10
y > 10/5
y > 2
[tex] \: [/tex]
Solution → y > 2
Interval Notation → [tex] \lang 2 , \infty\rang[/tex]
The solution in interval notation is: (2, ∞)
To solve the inequality 10y - 3(y + 2) > 2y + 4, follow these steps:
Step 1: Distribute the -3 on the left side of the inequality:
10y - 3y - 6 > 2y + 4
Step 2: Combine like terms:
(10y - 3y) - 6 > 2y + 4
7y - 6 > 2y + 4
Step 3: Get all the y terms on one side by subtracting 2y from both sides of the inequality:
7y - 2y - 6 > 2y - 2y + 4
5y - 6 > 4
Step 4: Get the constant term on the other side by adding 6 to both sides of the inequality:
5y - 6 + 6 > 4 + 6
5y > 10
Step 5: Finally, solve for y by dividing both sides by 5:
y > 10/5
y > 2
The solution to the inequality is y > 2. Now, let's write it in interval notation.
To know more about interval:
https://brainly.com/question/29126055
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pls help with this pls
Answer:
1.5 songs/minutes
Step-by-step explanation:
30÷20 = 1.5
Fdgbfrgrth Rheu Hyueheuhuhuhuheeuhuhuhe
For a project in his Geometry class, Ryan uses a mirror on the ground to measure the height of his school’s football goalpost. He walks a distance of 12.15 meters from the goalpost, then places a mirror on flat on the ground, marked with an X at the center. He then walks 3.4 more meters past the mirror, so that when he turns around and looks down at the mirror, he can see the top of the goalpost clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.35 meters. How tall is the goalpost? Round your answer to the nearest hundredth of a meter.
9514 1404 393
Answer:
4.82 m
Step-by-step explanation:
The mirror reflects light at the same angle the light hits it, so the triangles formed by the line of sight, the ground, and the objects involved are similar. This means corresponding lengths are proportional.
height/mirror distance = T/12.15 = 1.35/3.4
Multiplying by 12.15, we find the top of the goalpost to have a height of ...
T = 12.15(1.35/3.4) ≈ 4.82 . . . meters
The goalpost is about 4.82 meters high.
By noon, the temperature in Juneau had risen by 16ºF.
What was the temperature there at noon?
Answer:
-17 degrees F
Step-by-step explanation:
Assuming that the temperature in the chart is the temperature before noon, all we need to do to find the temperature at noon is to add 16 degrees Fahrenheit to the table value (since "risen by 16 degrees F" means to increase by 16 degrees, aka to add 16 degrees).
So,
-33 + 16 = -17
If 20% of the students were boys, what fraction were girls?
Answer:
Girls are 4/5 of the students.
Step-by-step explanation:
boys + girls = 100% of students.
If 20% of the students are boys then 80% are girls
80% = 80/100 = 4/5
(b) Notice that x=0.5 meter when θ = 45o. By approximately how many radians should you increase θ if you want the x coordinate of the point R to decrease to x = 0.45 meters? Use the tangent line approximation.
The angle is increased in approximately 0.095 radians (5.443°) for [tex]x = 0.45\,m[/tex].
Based on the statement we construct the geometric diagram, by definition of tangent we have expressions for the initial and final angles ([tex]\theta_{1}[/tex], [tex]\theta_{2}[/tex]), in radians, of the figure:
Initial triangle
[tex]\tan \theta_{1} = \frac{y_{1}}{x_{1}}[/tex] (1)
Final triangle
[tex]\tan \theta_{2} = \frac{y_{2}}{x_{2}}[/tex] (2)
By using (2), the equivalence [tex]\theta_{2} = \theta_{1}+\Delta \theta[/tex] and trigonometric identities we have the following expression:
[tex]\frac{y_{2}}{x_{2}} = \frac{\tan \theta_{1}+\tan \theta_{2}}{1-\tan \theta_{1}\cdot \tan \theta_{2}}[/tex] (3)
By (1), we simplify the expression:
[tex]\frac{y_{2}}{x_{2}} = \frac{\frac{y_{1}}{x_{1}} + \tan \Delta \theta}{1-\frac{y_{1}}{x_{1}}\cdot \tan \Delta \theta}[/tex] (3b)
If [tex]0 \le \Delta \theta \le \frac{\pi}{6}[/tex], then we can use the following approximation:
[tex]\tan \Delta\theta \approx \Delta \theta[/tex] (4)
Then, we reduce (3b) into an entirely algebraic expression:
[tex]\frac{y_{2}}{x_{2}} = \frac{\frac{y_{1}}{x_{1}}+\Delta \theta }{1-\frac{y_{1}}{x_{1}}\cdot \Delta \theta }[/tex] (3c)
Where [tex]y_{2} = \sqrt{r^{2}-x_{2}^{2}}[/tex].
Now we clear [tex]\Delta \theta[/tex] within the formula:
[tex]\Delta \theta = \frac{\frac{y_{2}}{x_{2}}-\frac{y_{1}}{x_{1}}}{\frac{y_{1}}{x_{1}}\cdot \left(1+\frac{y_{2}}{x_{2}} \right) }[/tex] (5)
If we know that [tex]x_{1} = y_{1} = 0.5[/tex], [tex]r = 0.707[/tex] and [tex]x_{2} = 0.45[/tex], then we estimate the angle change:
[tex]y_{2} = \sqrt{0.707^{2}-0.45^{2}}[/tex]
[tex]y_{2} \approx 0.545[/tex]
[tex]\Delta \theta = \frac{\frac{0.545}{0.45}-1 }{1\cdot \left(1+\frac{0.545}{0.45} \right)}[/tex]
[tex]\Delta \theta = 0.095[/tex]
As [tex]\Delta \theta < \frac{\pi}{6}[/tex], then the result seems to be reasonable. The angle is increased in approximately 0.095 radians (5.443°) for [tex]x = 0.45\,m[/tex].
We kindly invite to check this question on trigonometric identities: https://brainly.com/question/24836845
what is x and y in the equation 9x + 20y > 120
Answer:
independent variable/ variables
Step-by-step explanation:
plz plz heelp me i need heelp
Angles 1 and 2 are coresponding angles angle 1 is 3x+15 angle 2 is 4x-5 degrees.
what is the value of x
Answer:
10
Step-by-step explanation:
3x+15+4x-5=180
7x+10=180
7x=170
x=10
The total number of boys and girls in a class are 45 students. If 65% of the children are girls, what percentage are boys?
Answer:
35%
Step-by-step explanation:
100% - 65% = 35%
Hope this helps!
Answer:
35%
Step-by-step explanation:
65% of 40 is 29.25
40-29.25=15.75
15.75 over 45 × 100 = 0.35
0.35 is also written as 35%
This is just a longer method if it requires more steps:)
Dry Clean USA has finished cleaning 30% of their 730 orders. How many orders do they still need to finish cleaning?
Step-by-step explanation:
100% = 730
1% = 100%/100 = 730/100 = 7.3
30% = 1% × 30 = 7.3 × 30 = 219
so, they finished 219 of their 730 orders.
that leaves 730 - 219 = 511 orders still to be finished.
Third question please need help
Answer:
add 6 time 8 and get the answer like that.
Step-by-step explanation:
just keep adding that what you need to do ok.
If you added 1, 900 pounds and 2 tons, what would the total weight be?
a) 2, 100 pounds
b) 5, 900 pounds
c) 3, 900 pounds
d) 3.9 tons
Answer:
B) 5,900 pounds
Step-by-step explanation:
1,900 pounds + 2 tons = 5,900
6x+3>15 solve for a please
Answer:
x>2
Step-by-step explanation:
1) 6x+3 > 15
2) 6x > 15-3
3) 6x > 12
4) x > 12÷6
5) x > 2
Lcd of 4/5 , c/7 where c=3
Answer:
35
Step-by-step explanation: