The circumference of a circle is 37. 68 ft. What is the radius of the circle?.
Answer:
r = 6 ft
Step-by-step explanation:
Farmer Lito has 72 tomatoes to sell. He wants to put the same number of tomatoes in each bag without any tomatoes left over. How many tomatoes could farmer put in each bag?
5, 10, 2
Answer: 2
Step-by-step explanation:
Because 72 : 2 = 36 (Farmer Lito could put 2 tomatoes in each bags)
72 : 5 = 14,4
72 : 10 = 7,2
(Farmer Lito couldn't put there cause there are decimals left)
How can I answer these other 2?
for the unit put ft or feet
for question 5, it is 4/8 and 1/2
There are four steps for converting the equation x2 y2 12x 2y – 1 = 0 into standard form by completing the square. Complete the last step. Group the x terms together and the y terms together, and move the constant term to the other side of the equation. X² 12x y² 2y = 1 Determine (b ÷ 2)2 for the x and y terms. (12 ÷ 2)2 = 36 and (2 ÷ 2)2 = 1 Add the values to both sides of the equation. X2 12x 36 y2 2y 1 = 1 36 1 Write each trinomial as a binomial squared, and simplify the right side. (x )2 (y )2 =.
The equation of the circle in squared form is [tex]\rm (x + 6)^2 + (y + 1)^2 = 38[/tex]. Then the center of the circle is at (-6, -1).
What is a circle?It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The equation of the circle is given as
[tex]\rm x^{2} + y^2 + 12x +2y - 1 = 0[/tex]
This can be written as
[tex]\rm x^{2} + y^2 + 12x +2y = 1[/tex]
Add both sides 36 and 1, then
[tex]\rm x^{2} + 12x + 36 + y^2 +2y +1 = 1 + 36 + 1[/tex]
Then we know that
[tex]\rm (a+b) ^2 = a^2 + b^2 + 2ab[/tex]
Then
[tex]\rm (x + 6)^2 + (y + 1)^2 = 38[/tex]
Thus, the center of the circle is at (-6, -1).
More about the circle link is given below.
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Answer:
answer in picture
Step-by-step explanation:
Find the volume of this regular pyramid.
Answer:
25.46
Step-by-step explanation:
v = a^3 / 6√2
= 216/6√2 = 25.46
Mario and Patience are making cookies. They are ready to drop balls of dough on baking sheets. They have baking sheets made of treated glass, aluminum, stainless steel, and copper. The specific heats of these substances are: Treated glass = 0. 75 J/g • °C Aluminum = 0. 90 J/g • °C Stainless steel = 0. 50 J/g • °C Copper = 0. 39 J/g • °C Based on the specific heat values, which sheet is going to warm up the quickest, and, therefore, bake the cookies the fastest?.
The sheet used by Mario and Patience which is going to warm up the quickest, and, therefore, bake the cookies the fastest is copper sheet.
What is specific heat?The specific heat of a substance is the amount of heat needed, to raise the temperature of the of one gram of substance by unit degree Celsius.
The specific heat capacity of the substance can be given as,
[tex]C=\dfrac{Q}{m\Delta T}[/tex]
Here, (m) is the mass of the substance, (Q) is heat energy and
is the change in temperature.
The above formula can be rewritten as,
[tex]{Q}={m\Delta T}C[/tex]
By this formula, we can say that the heat energy is directly proportional to the specific heat of the substance.
Thus the value of heat energy required to warm up the substance will be higher with the higher value of specific heat and result of it the substance require more time to warm up.
Here, the specific heats of these substances are:
Treated glass = 0. 75 J/g • °C
Aluminum = 0. 90 J/g • °C
Stainless steel = 0. 50 J/g • °C
Copper = 0. 39 J/g • °C
In the above data, the value of specific heat of copper is less than other three substances.
Hence, the sheet used by Mario and Patience which is going to warm up the quickest, and, therefore, bake the cookies the fastest is copper sheet.
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Find the probability for spinning a multiple of 3. Simplify your answerFind the probability for spinning a multiple of 3. Simplify your answer
Answer:
2/8 (Simplified to 1/4)
Step-by-step explanation:
There are 8 pieces to this, 2 of these 8 pieces are 6, and 3 which are both multiples of 3. So this gives you 2/8 but as you said you need it simplified so if you divide the top and bottom by 2 that gets you the answer of 1/4.
A four-sided figure with a perimeter of 120 cm has a width which is 30cm less than twice it’s length. What kind of quadrilateral is this? Justify your answer.
Since the opposite side of the quadarilateral are equal hence it is a rectangle.
Perimeter of a rectangleThe sum of the external side is equal to the perimeter. The perimeter of the shape is expressed as:
P = 2(l+w)
where:
P = 120cm
If the width is 30cm less than twice it’s length, then;
w = 2l + 30
Substitute
120 = 2(l + 2l + 30)
60 = 3l + 30
3l = 30
l = 10
Recall that:
w = 2l + 30
w = 2(10) + 30
w = 50cm
Since the opposite side of the quadarilateral are equal hence it is a rectangle.
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Which expression is equivalent to 2(m − 4) + 1?
Answer:
Step-by-step explanation:
Use distributive property: a(b-c) =(a*b) - (a*c)
2(m - 4) + 1 = 2*m - 2*4 +1
= 2m - 8 + 1
Combine like terms
= 2m - 7
Solve for m. Quadrilateral 90° 75° 105° 150° 3 of 4
On a coordinate plane, a parabola opens up. Solid circles appear on the parabola at (negative 4, 14), (negative 3, 9. 5), (negative 2, 6), (0, 2), (1, 1. 5), (2, 2), (4, 6), (5, 9. 5), (6, 14). Which is the rate of change for the interval between 2 and 6 on the x-axis? –3 one-third one-third 3.
The rate of change for the interval between 2 and 6 on the x-axis is 3.
Given
On a coordinate plane, a parabola opens up.
Solid circles appear on the parabola at (negative 4, 14), (negative 3, 9. 5), (negative 2, 6), (0, 2), (1, 1. 5), (2, 2), (4, 6), (5, 9. 5), (6, 14).
What is the rate of change?A rate of change defines how one quantity changes in relation to another quantity.
The rate of change for the interval between 2 and 6 on the x-axis is;
[tex]\rm Rate \ of \ change =\dfrac{2-14}{2-6}\\\\Rate \ of \ change =\dfrac{-12}{-4}\\\\Rate \ of \ change =3[/tex]
Hence, the rate of change for the interval between 2 and 6 on the x-axis is 3.
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What are the x- and y-intercepts of the rainbow? Explain what each intercept represents ( parabola y=-x2+36
Answer:
Step-by-step explanation:
[tex]y=-x^{2} +36[/tex]
can be factored out as (-x-6)(x-6)
x-intercepts are: +6 and -6
represents the two ends of the rainbow
y-intercept: y=36
represents the highest point of the rainbow
What are the x-intercept and y-intercept of this function F(x)=4x+12
Answer:
x-intercept(s): (−3,0)
y-intercept(s): (0,12)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
Write the equation of a sine or cosine function to describe the graph.
Please help me I WILL MARK YOU AS A BRILLIANT
Answer(s):
[tex]\displaystyle y = 3cos\:(2\pi{x} - \frac{\pi}{2}) + 3 \\ y = -3sin\:(2\pi{x} \pm \pi) + 3 \\ y = 3sin\:2\pi{x} + 3[/tex]
Step-by-step explanation:
[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{1}{4}} \hookrightarrow \frac{\frac{\pi}{2}}{2\pi} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{1} \hookrightarrow \frac{2}{2\pi}\pi \\ Amplitude \hookrightarrow 3[/tex]
OR
[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{1} \hookrightarrow \frac{2}{2\pi}\pi \\ Amplitude \hookrightarrow 3[/tex]
You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the sine graph, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 3cos\:2\pi{x} + 3,[/tex] in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted [tex]\displaystyle \frac{1}{4}\:unit[/tex]to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle \frac{1}{4}\:unit,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{\frac{1}{4}} = \frac{\frac{\pi}{2}}{2\pi}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 3cos\:(2\pi{x} - \frac{\pi}{2}) + 3.[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [-\frac{1}{4}, 0],[/tex]from there to [tex]\displaystyle [\frac{3}{4}, 0],[/tex]they are obviously [tex]\displaystyle 1\:unit[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 1.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 3,[/tex]in which each crest is extended three units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
4.Find the measure of arc DF in the figure.
Answer:
129 degrees
Step-by-step explanation:
Ok, DAE, as given, is 90 degrees. So, BAD would equal 90 as well, so BAC would be 90-51, 39. And because FAE is vertical angle to BAC, FAE is also 39. So 39 + 90 is 129.
YALL HELPPP What is the initial value of the function represented by this table?
Answer:
c-3
Step-by-step explanation:
Initial value of a function means that it is the y-intercept of the function
I I need to find the surface area of this triangular prism.
Answer: P=5.2 h=3 B=2
Step-by-step explanation:
To find P, you add everything except for 3 because P starts for perimeter of the bases and 3 is the height of the prism. So P would equal 5.2. Then to get h, it’s just 3 because that’s the height of the prism. Now for B, you just multiply 1x2 because that’s the area of the base and you only need one. If you’re looking for total surface area, the answer is 19.6 becasue the formula is Pxh+2B meaning perimeter x height plus 2 x B. But for lateral, the answer is 15.6 because it’s just Pxh (perimeter x height) hope this helps lol sorry it’s so long.
A shipping container in the shape of a right rectangular prism has a length of 16 feet, a width of 8 feet, and a height of 4. 5 feet. The container is completely filled with contents that weigh, on average, 0. 50 pound per cubic foot. What is the weight, in pounds, of the contents in the container?.
The weight in pounds of the contents in the container is 288 pounds.
How to find volume of right rectangular prism?The volume of right rectangular prism is obtained by multiplying all 3 dimensional measures of that prism.
Given
A shipping container in the shape of a right rectangular prism has a length of 16 feet, a width of 8 feet, and a height of 4. 5 feet.
The container is completely filled with contents that weigh, on average, 0. 50 pound per cubic foot.
The volume of the right rectangular prism is given by
[tex]\rm Volume = 16\times 8 \times 4.5\\\\ Volume=576 \ ft^3[/tex]
Since the volume obtained is in cubic foot, thus there can be as many as 408 cubic foots inside the container.
Since one cubic foot content weighs around 0.50 pounds, thus,
[tex]\rm 1 \ cubic \ foot=0.50 \ pounds\\\\ 576 \ ft^3=0.50 \times 576 =288 \ pounds[/tex]
Hence, the weight in pounds of the contents in the container is 288 pounds.
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Inga is solving 2x2 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Select three options. 2(x2 6x 9) = 3 18 2(x2 6x) = –3 2(x2 6x) = 3 x 3 = Plus or minus StartRoot StartFraction 21 Over 2 EndFraction EndRoot 2(x2 6x 9) = –3 9.
The quadratic equation 2x² + 12x – 3 = 0 can be written as 2(x²+12x+9)=3+18. Then the correct option is A.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
Inga is solving the quadratic equation 2x² + 12x – 3 = 0
2x² + 12x – 3 = 0
2x² + 12x = 3
2x² + 12x + 18 = 3 + 18
2 (x² + 12x + 9) = 3 + 18
The quadratic equation 2x² + 12x – 3 = 0 can be written as 2 (x² + 12x + 9) = 3 + 18. Then the correct option is A.
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Prove the divisibility of each of the following numbers: 7^6 + 7^5 - 7^4 by 11
[tex]7^6 + 7^5 - 7^4\\\\7^4*7^2 + 7^4*7 - 7^4*1\\\\7^4(7^2 + 7 - 1)\\\\7^4(49 + 7 - 1)\\\\7^4(55)\\\\7^4(11*5)\\\\11*5*7^4\\\\11k\ \text{ where } k = 5*7^4\\\\[/tex]
The result we end up with is 11k which is a multiple of 11.
Therefore, this proves that [tex]7^6 + 7^5 - 7^4[/tex] is divisible by 11.
Answer:
7^4 * 5
You need to factor the answer.
The measure of angle FGH is 80° the measure of JGH is 25° the measure of angle FGJ is x find the value of x
NEED HELP ASAP
Answer: 55
Step-by-step explanation:
Which of the expressions below has a 1 in the tenths place of the product? Select all apply. A) 18. 3 x 7 B) 6. 5 x 4. 31 C) 8. 54 x 2. 3 D) 5. 4 x 2. 8
PLEASEEEEE HELPPP !!!!!!!!
JKL and KMN are shown below.
Which statement is true?
Answer:
SIMILAR
Step-by-step explanation:
The lines are parallel to each other, and one of the angles are 90 degrees. That is the only info that you get. You need to be able to make sure that another angle besides the 90 degrees is similar. The lines are parallel to each other, meaning that the other two angles should be equal in measure. See, if the angle in the second triangle gets bigger, the lines wouldn't be parallel, would they?
Classify the triangle by angles and sides and find its area .
Answer: 12
Step-by-step explanation:
7(2x+1/7)=14(3x-0.5)
pls and an explanation would help
answer:
[tex]\sf x = \frac{2}{7}[/tex]
solving steps:
[tex]\hookrightarrow \sf 7(2x+\frac{1}{7} )=14(3x-0.5)[/tex]
[tex]\hookrightarrow \sf 7(2x)+7(\frac{1}{7} )=14(3x)-14(0.5)[/tex]
[tex]\hookrightarrow \sf 14x + 1 = 42x - 7[/tex]
[tex]\hookrightarrow \sf 14x -42x = - 7-1[/tex]
[tex]\hookrightarrow \sf -28x = -8[/tex]
[tex]\hookrightarrow \sf x = \frac{-8}{-28}[/tex]
[tex]\hookrightarrow \sf x = \frac{2}{7}[/tex]
[tex]\\ \rm\hookrightarrow 7(2x+1/7)=14(3x-0.5)[/tex]
[tex]\\ \rm\hookrightarrow 2x+1/7=2(3x-0.5)[/tex]
[tex]\\ \rm\hookrightarrow 2x+1/7=6x-1[/tex]
[tex]\\ \rm\hookrightarrow 4x=1+1/7[/tex]
[tex]\\ \rm\hookrightarrow 4x=8/7[/tex]
[tex]\\ \rm\hookrightarrow x=8/28=2/7[/tex]
18
Select the correct answer.
A boat is anchored in the water. At low tide, the boat is floating 20 feet above the seafloor and is a horizontal distance of 40 feet away from its anchor. At high tide, the boat is a horizontal distance of 35 feet away from its anchor.
Approximately how high is the boat floating above the seafloor at high tide? Assume the anchor rope remains tight, without any slack.
The height of the boat floating above the seafloor at high tide is 17.5 feet
Triangle similarity theorem.The ratio of the similar sides of the triangles is equal to a constant. In order to determine how high the boat is, we will use the ratio below;
20/40 =x/35
Determine the value of x
40x = 20 * 35
40x =700
x = 700/40
x = 17.5feet
Hence the height of the boat floating above the seafloor at high tide is 17.5 feet
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#SPJ1
Answer:
It's 27.8
Step-by-step explanation:
Danielle needs to have repairs done on her house and is looking to hire a plumber and an electrician. The cost of the plumber for t hours is by Plt) = 115+25t. The cost of the electrician for t hours is given by E(t) = 55t +75. If she plans to hire them both for the same amount of tim function represents the total cost, c(t), for the plumber and the electrician as a function of time?
The total cost function is the sum of the two given functions, and this is equal to:
c(t) = 190 + 70*t
How to find the linear function for the total cost?We know that:
The plumber charges p(t) = 115 + 25*tThe electrician charges e(t) = 55*t + 75.If she hires both of them for the same time t, then the total cost function will be given by the sum of the two above functions, we will get:
c(t) = p(t) + e(t)
c(t) = (115 + 25*t) + (55*t + 75)
c(t) = (115 + 75) + (55*t + 25*t)
c(t) = 190 + 70*t
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Combine any like terms in the expression. If there are no like terms, rewrite the expression.
34w3+13w3+11w3–18w3
Answer:
40w^3
Step-by-step explanation:
I'm assuming you meant w^3 (w to the third power). In that case, you would just add 34 + 13 + 11 - 18 because they are all like terms (coefficients of w^3).
Determine the finance charge on a $7,200 car loan if monthly payments were $158.50 for 48 months.
$7,608
$408
$150
$3
PLAESE HURRY
Using proportions, it is found that the finance charge was of $408.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, monthly payments of $158.50 were made for 48 months, hence the total amount paid was of:
48 x $158.5 = $7,608.
The finance charge is the price financed subtracted by the fixed price, hence:
$7,608 - $7,200 = $408.
The finance charge was of $408.
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please help me find the X
Answer:
x=55 (i think)
Step-by-step explanation:
190=(2x-10)+90
(subtract 90 from 190)
100=(2x-10)
(add 10 to 100)
110=2x
(divide by 2)
55=x
