Answer:
2
Step-by-step explanation:
sqrt(254) is in between 15 and 16, closer to sqrt(256), which is 16
sqrt(62) is in between 7 and 8, closer to sqrt(64), which is 8
thus 16/8 is 2
What is the shape of the cross section of the figure that is parallel to the triangular bases? A triangular prism.
a parallelogram that is not a rectangle
a rectangle
a triangle that must have the same dimensions as the bases
a triangle that may not have the same dimensions as the bases
Answer:
AStep-by-step explanation:
a parallelogram that is not a rectangle
Hope this helpsAnswer:
A
Step-by-step explanation:
I did it on the quiz
Helllp fast please someone
Answer: -10
Step-by-step explanation:
-4 - 6 = -10
Which number is a solution of the inequality −7x−3.5<−10.5
A. −3
B. −1
C. 1
D. 3
Answer: x > 1
Step-by-step explanation:
Find the measurement of y
A-129°
B-130°
C-145°
D-134°
Answer: C
Step-by-step explanation: Since the angle measures of a heptagon measure up to 900, add all known angle measures. they equal to 755. 900 - 755 is 145.
help also I did some of it just not 3 and 4 and 6which is 2.5 ×__=80,1×__=32,3×__=96
Answer:
the answer is 32
Step-by-step explanation: divide the product by the number that is being mutiplied
A water trough is 8 m long and has a cross-section in the shape of an isosceles trapezoid that is 40 cm wide at the bottom, 100 cm wide at the top, and has height 60 cm. If the trough is being filled with water at the rate of 0.1 m3/min how fast is the water level rising when the water is 30 cm deep?
Answer:
1.785 cm / min
Step-by-step explanation:
We have to the following equation:
V = A * L
The volume is equal to the area times the length, now, if we derive with respect to time we have:
dV / dt = dA / dt * L
Now, the area of a trapezoid is:
A = (Upper base + Lower base) / 2 * height
Now we have:
Upper base = 40 + h
Lower base = 40
Replacing we have:
A = (40 + h + 40) / 2 * h
A = (h ^ 2) / 2 + 40 * h
Now, we derive and we are left:
dA / dt = d [(h ^ 2) / 2 + 40 * h] / dh * dh / dt
dA / dt = (h + 40) * dh / dt
we replace dA / dt:
dV / dt = [(h + 40) * dh / dt] * L
We have that dV / dt is equal to 0.1 m ^ 3 / min, we know that 1m ^ 3 is equal to 10 ^ 6 cm ^ 3, therefore:
dV / dt = 10 ^ 5 cm ^ 3 / min
in addition L is equal to 8 m or what is equal to 800 cm, and also h at the required moment is 30 cm
we replace everything and we have:
10 ^ 5 = 800 * (30 +40) * dh / dt
dh / dt = 10 ^ 5/56000
dh / dt = 1.785 cm / min
Find the slope of the line through the points (13, 14) and (0, −1)
Answer:
[tex] \frac{15}{13} [/tex]
Step-by-step explanation:
gradient= [tex] \frac{y1 - y2}{x1 - x2} [/tex]
Thus, slope of line
[tex] = \frac{14 - ( - 1)}{13 - 0} \\ = \frac{14 + 1}{13} \\ = \frac{15}{13} [/tex]
the diameter of a circle is 5 ft. Find the circumference to the nearest tenth(urgent)
Answer:
15.71
Step-by-step explanation:
To find the radius, half the diameter because r x 2 = diameter. 5/2 = 2.5
Put in circumference formula C=2πr
c=2 x 3.14 x 2.5
c= 2 x 7.85
c=15.7
Put the value into the circle circumference formula C=2πr
i need help please thanks
Answer:
66 units
Step-by-step explanation:
just addition
Answer:
66 units
Step-by-step explanation:
The perimeter of a two dimensional object is all of its sides added together:
6+14+10+17+4+3+8+4=
20+10+17+4+3+8+4=
30+17+4+3+8+4=
47+4+3+8+4=
51+3+8+4=
54+8+4=
62+4=
66 units
What is the r-value of the following data, to three decimal places?
X, 4 5 8 9 13
Y, 26, 11, 13, 2, 1
O A. -0.686
OB. 0.828
O C. 0.686
O D. -0.828
Answer:
The correct option is D
D) -0.828
Step-by-step explanation:
Step 1:First find the mean of both x data set and y data set
x(mean) = 39/5 = 8
y(mean) = 53/5 = 11
Step 2:(find the values given in table attached below. The formation of table is step 2)
Step 3:Substitute ∑x, ∑y, ∑xy, ∑x² & ∑y² value in the below correlation coefficient formula
r = ∑XY/(√∑X². ∑Y2²
∑XY = -119.4,∑X² = 50.8, ∑Y² = 409.2
r = -119.4/(√50.8 x 409.2)
Simplify above expression
r = -119.4/√20787.36
r = -119.4/144.1782
r = -0.8281
Thus -0.8281 is the correlation between x = {4, 5, 8, 9 and 13} & y = {26, 11, 13, 2 and 1}
Consider a circle whose equation is x2 + y2 + 4x - 6y - 36 = 0. Which statements are true? Check all that appl"
To begin converting the equation to standard form, subtract 36 from both sides.
mu To complete the square for the x terms, add 4 to both sides.
Answer:
To complete the square for the x terms, add 4 to both sides.To convert the given equation of the circle to standard form we should do as follows.
1. Add 36 to both sides of the equation.[tex]x^{2} +y^{2}+4x-6y-36+36=36\\ x^{2} +y^{2}+4x-6y=36[/tex]
2. We order the terms according to their variables.[tex]x^{2} +4x +y^{2}-6y=36[/tex]
3. Divide the linear term by 2, then elevate it to the square power.[tex]x^{2} +4x + (\frac{4}{2} )^{2} +y^{2} -6y+(\frac{6}{2} )^{2} =36[/tex]
4. Solve operations, and add the same units to the other side of the equation.[tex]x^{2} +4x+4+y^{2} -6y+9=36+4+9\\[/tex]
5. Now, we sum costant terms, and factor both trinomials.[tex](x+2)^{2} +(y-3)^{2} =49[/tex]
As you can observe, the circle has center at (-2,3) and it has a radius of 7 units.
Notice that the second choice is correct, because we added 4 units to both sides to complete the square for the x terms.
which of these can be rewritten as an exact answer without the square root symbol? √4 √125 √0.6 √12.35 Thank you :)
Answer:
[tex]\sqrt{4}[/tex]
Step-by-step explanation:
Because
→ [tex]\sqrt{4}[/tex] is equal to 2
→ [tex]\sqrt{125}[/tex] is equal to [tex]5\sqrt{5}[/tex] or 11.18033989
→ [tex]\sqrt{0.6}[/tex] is equal to [tex]\frac{\sqrt{15} }{5}[/tex] or 0.7745966692
→ [tex]\sqrt{12.35}[/tex] is equal to 3.514256678
Answer:
√4
Step-by-step explanation:
√4 = 2
The other ones can only be approximated:
√125 = 5√5 ≈ 11.18033
√0.6 ≈ 0.774597
√12.35 ≈ 3.51426
Translate the following sentence into an equation. Five times a number less than eighteen is equal to thirteen.
Answer:
5(n<18)=13
Step-by-step explanation:
Five times a number less than eighteen is equal to thirteen
5 (n < 18 = 13
Easy 50 points. Graph solutions with picture.
Answer:
(-1,-4)
Step-by-step explanation:
The system of equations are given on a graph. The lines cross at coordinate (-1,-4). This would the the solution of the equations.
The system's solution should be (-1,-4).
Answer:
-1,-4Step-by-step explanation:
The equation of lines shows the two points
and it cross in the coordinates(-1,-4)
so
solution is( -1,-4)
A. -1
B. 1
C. Undefined
D. 0
Answer: 0
Step-by-step explanation:
Using the Trigonometric values table or unit circle, calculate the expression.
Answer:
The answer is D.) 0
Step-by-step explanation:
JUST THE QUEST
what is measurement of angle 2 and 11
Answer:
Angle 2 = 40 degrees Angle 11 = 60 degrees
Step-by-step explanation:
Start by using angle 1 to find angle 2
angle 1 is 140 + 2 is unknown = 180 degrees
140 + x = 180
-140 -140
x = 40
Angle 2 is 40 degrees
Now add together angles 2 and 9 to find the measure of angle 11
40 + 80 + x = 180
120 + x = 180
-120 -120
x = 60
Angle 11 is 60 degrees
Answer:
Angle #2 = 40 degrees Angle #11 = 60 degrees
Step-by-step explanation:
.
graph {x | x > 4} {x | x < -2} on a number line
Answer:
Step-by-step explanation:
well,
you mark an arrow to the left side of # line with open circle on -2
then,
you mark an arrow to the right side of # line with open circle on 4
A seller has a house that is 2100 ft2. The neighborhood comps show the line
of best fit to be y = 0.074x + 50.48. What is a fair price for this house?
A. $205.88
B. $206.00
C. $176,000
D. $206,000
The fair price for the house is $205.88.
The correct answer is option A.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
To find the fair price for the house, we can use the equation of the line of best fit provided:
y = 0.074x + 50.48
where y represents the price of the house and x represents the square footage of the house.
We can substitute 2100 for x to find the price of the house.
y = 0.074(2100) + 50.48
y = 155.4 + 50.48
y = 205.88
Therefore,
The fair price for the house is $205.88.
Learn more about equations here:
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HELPPP
Lane has a gift card worth $300 for a local entertainment store. Movies cost $20 each and
newly released video games cost $50 each. In order to use the gift card, Lane must purchase at
least seven items. Which is a combination of movies and newly released video games that
Lane could purchase using his gift card?
A 01 movie and 6 video games
B2 movies and 4 video games
C6 movies and 5 video games
D8 movies and 1 video game
Answer:
D) 8 movies and 1 video game
Step-by-step explanation:
We are given that Lane has a gift card worth $300 for a local entertainment store.
Cost of 1 movie = $20
Cost of 1 video game = $50
In order to use the gift card, Lane must purchase at least seven items
A) 01 movie and 6 video games
Cost of 1 movie = $20
Cost of 6 video game = [tex]50 \times 6 = 300[/tex]
Total cost = 300+20 = 320
Since Lane has a gift card worth $300 , So Lane could not purchase 01 movie and 6 video games using his gift card
B) 2 movies and 4 video games
We are given that she must purchase at least seven items
So, She could not buy 2 movies and 4 video games
C)6 movies and 5 video games
Cost of 6 movie = [tex]20 \times 6 =120[/tex]
Cost of 5 video game = [tex]50 \times 5= 250[/tex]
Total cost = 250+120=370
Since Lane has a gift card worth $300 , So Lane could not purchase 06 movie and 5 video games using his gift card
D) 8 movies and 1 video game
Cost of 8 movie = [tex]20 \times 8 =160[/tex]
Cost of 1 video game = 50
Total cost = 160+50=210
So, she could purchase 8 movies and 1 video game
Find an equation of the line containing the given pair of points.
(4,1) and (12,7)
Answer:
y= 3/4x-2
Step-by-step explanation:
y2-y1/x2-x1
7-1/12-4
m=6/8
m=3/4
now solve for b (y-intercept)
plug in any y or x from any point
7=3/4(12)+b
7=36/4+b
7=9+b
7=9+b
subtract nine on both sides
-2=b
thats how u get ur equation
Need help with #12 pls explain
is a diameter of circle O. If m∠ACB = 30°, what is m∠DBA? A. 30° B. 50° C. 60° D. 70° E. 90°
Every triangle equals 180 degrees, and we're trying to find the angle of DBA. So, we can identify DAB as a 90 degree angle to start. Then we can identify that ACB = ADB, meaning ADB is 30 degrees. With that information, we have this equation:
DBA = 180 - 90 - 30
DBA = 60
The measure of the angle ∠DBA will be 60°. Then the correct option is C.
What is a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
The diagram is given below.
BD is the diameter of circle O. If m∠ACB = 30°.
We know that the central angle is double the angle at the periphery that was subtended by the same chords.
∠AOB = 2∠ACB
∠AOB = 2 x 30
∠AOB = 60°
We know that the triangle AOB is an equilateral triangle, in which each angle will be 60°.
Thus, the measure of the angle ∠DBA will be 60°.
Then the correct option is C.
More about the circle link is given below.
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The coordinate grid shows points a through k. Which points are solutions to the system of inequalities 2x+y 8 please help this is my last resort
Answer:
The points that verify the system of inequalities are:
point E, pointF, and point G.
Step-by-step explanation:
Please see the attached image that illustrates the boundary lines in your system of inequalities.
The boundary line for the inequality [tex]2x+y<10[/tex] is depicted in green, while the boundary line for the inequality [tex]2x-4y>8[/tex] is depicted in red.
By solving for y in each inequality, we understand which half-plane should be considered for the inequality:
First inequality (green boundary line) :
[tex]2x+y<10\\y=10-2x[/tex]
This means that we are to consider the points below the green boundary line.
Second inequality (red boundary line) :
[tex]2x-4y >8\\2x-8>4y\\y<\frac{1}{2} x-2[/tex]
This means we have to consider the points below the red boundary line.
Recall as well that both conditions we arrived at have to be satisfied by the points that are solutions of both inequalities.
From the image, we can see that there are only three points that reside at the same time below the green and the red boundary lines. These points are: point E, pointF, and point G.
On the other hand, we have two points that lie on a boundary line (point J and H), but they should be ignored, since the system of inequalities contain just inequality symbols < or >, and not the "equal" sign.
What is the measure of 0?
Answer:
C. 4
Step-by-step explanation:
arc length = radius*θ ,
where θ is an angle in radians.
12 = 3*θ
θ = 12/3 = 4
Simplify 1/4(8x+16)+4x.
Answer:
6x+4
Step-by-step explanation:
First thing to do is distribute 1/4 into the parenthesis. So 1/4 times 8x and 16. Which will give you 2x and 4. Then add like terms which will be 2x + 4x which is 6x. Then you have the 4 left over so your new equation is 6x+4.
Answer:
[tex]\fbox{\begin{minipage}{3em}6x + 4\end{minipage}}[/tex]
Step-by-step explanation:
[tex]A= \frac{1}{4} (8x + 16) + 4x[/tex]
Apply associate property:
[tex]A = \frac{1}{4} *8x + \frac{1}{4} *16 + 4x[/tex]
Simplify the first two components:
[tex]A = 2x + 4 + 4x[/tex]
Rearrange the components:
[tex]A = 2x + 4x + 4[/tex]
Simplify:
[tex]A = 6x + 4[/tex]
Hope this helps!
:)
Work out the value of x
[tex]x = 67.5 \\ solution \\ x + 3x + 90 = 360(sum \: of \: complete \: turn) \\ or \: 4x + 90 = 360 \\ or \: 4x = 360 - 90 \\ or \: 4x = 270 \\ or \: x = \frac{270}{4} \\ x = 67.5 \\ hope \: it \: helps[/tex]
Answer: x = 67.5°
Step-by-step explanation:
Is this for area or the magnitude of the angle? Ill solve for the angle. A circle has a total degree of 360. And they give us the right angle of 90°.
So the equation we have here is 90 + 3x + x = 360. Subtract 90 from both sides to get 3x + x = 270. Combine the like terms to get 4x = 270. Now just divide each side by 4 to get 67.5°
How should the decimal point in 6.8 be moved to determine the product of 6.8
and 100?
()) two places to the left
1)) three places to the right
<)) three places to the left
()) two places to the right
The correct answer is two places to the right
The following information should be considered:
For each and every 0 you have to move the decimal one place. And since the 100 is positive you move the decimal to the right.Learn more: https://brainly.com/question/17429689?referrer=searchResults
HELP! WILL GIVE BRAINLIEST TO BEST ANSWER!!! BE VERY DETAILED PLEASE <3 Examine your selected object and the construction you made from 1.08. Which transformations (translations, reflections, or rotations) are present in the constructions?
Answer:
It's Rotated I believe
Step-by-step explanation:
The Pythagorean theorem, also known as the pythagoras’ theorem, is a fundamental relation in the geometry among the three sides of a right triangle. What does Pythagoras’ theorem states about the area of the square of the hypotenuse and the area of the squares on the other two legs
Answer:
it states: a squared + b squared = c squared ( the hypotenuse)
Step-by-step explanation:
what is -5+11y-3=25? will mark brainliest!!
Step-by-step explanation:
-5 +11y -3 = 25
11y = 25 + 5 + 3
11y = 33
y = 33/11
y = 3