Answer:
D. n = 36
[tex]12 = \frac{n}{3} \\ n = 3 \times 12 \\ n = 36[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
D. n = 36
»»————- ★ ————-««
Here’s why:
We will use inverse operations to solve for 'n'.⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'n':}}\\\\12=\frac{n}{3}\\\------\\\rightarrow\frac{n}{3}=12\\\\\rightarrow(\frac{n}{3})3=12(3)\\\\\rightarrow\boxed{n=36}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Help pleaseeeee ASAP
Answer:
9 cm
Step-by-step explanation:
The volume of a square based pyramid is given as :
V = 1/3a²h
Where ; a = base edge ; h = Height
Volume, V = 48 cm³ ; a = 4cm
48 = 1/3 * 4² * h
48 = 1/3 * 16h
48 * 3 = 16h
144 = 16h
h = 144 / 16
h = 9 cm
Height = 9cm
If the trapezoid on the grid below is translated by using the rule (x,y)-> (x-4,y-3) what will be the coordinates of B’?
Answer:
B'(3, 5)
Step-by-step explanation:
Rule for the translation of a point (x, y) by 'h' units left and 'k' units upwards,
(x, y) → (x - h, y + k)
If h = 4 and k = 3,
[tex](x, y)\rightarrow(x-4,y+3)[/tex]
Following this rule coordinates of the image point of B will be,
B(7, 2) → B'(7 - 4, 2 + 3)
→ B'(3, 5)
Therefore, coordinates of the image point B' will be,
B'(3, 5)
To the nearest tenth, find the volume of a sphere with a diameter of 10 cm. Use 3.14 forπ.
Answer:
To the nearest tenth, find the volume of a sphere with a diameter of 10 cm. Use 3.14 for pi. Answer choices: 314.2 cm3
Step-by-step explanation:
Evaluate the expression when b=5 and x = -7.
-b+7x
Answer:
-54
Step-by-step explanation:
Substitute the numbers for the variables.
-(5)+7(-7)
=-5-49
=-54
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{-b+7x}\\\\\mathsf{-5+7(-7)}\\\\\mathsf{7(-7)=\boxed{\large\textsf{\bf -49}}}\\\\\mathsf{-5+49}\\\\\mathsf{= \boxed{\large\textsf{\bf -54}}}\\\\\\\boxed{\boxed{\large\textsf{Answer: \huge\bf -54 }}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Consider the triangle.
Which statement is true about the lengths of the sides?
45°
Each side has a different length.
OTwo sides have the same length, which is less than
the length of the third side.
O The three sides have the same length.
O The sum of the lengths of two sides is equal to the
length of the third side.
45
Answer:
two sides have the same length which is less than the length of third side
Step-by-step explanation:
The sum of the lengths of the two sides is equal to the length of the third side.
Option D is the correct answer.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
In a triangle,
The side opposite to the equal angle are equal.
Now,
We have two 45 angles.
This means,
The sides opposite to the 45 angles will be congruent.
And,
The other angle is 90 degrees.
Which is a right triangle
Thus,
The sum of the lengths of the two sides is equal to the length of the third side.
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Problem 1
Answer: It is possible to draw a triangle
-------------------------
Explanation:
We use the triangle inequality theorem. Consider a triangle with sides a,b,c
A triangle is only possible if and only if the following three inequalities are all true
a+b > cb+c > aa+c > bBasically, if we can add any two sides to get a sum larger than the third side, then we can form a triangle.
If a = 3, b = 4, and c = 5, then
a+b = 3+4 = 7 which is indeed larger than c = 5 b+c = 4+5 = 9 which is larger than a = 3a+c = 3+5 = 8 which is larger than b = 4All three conditions are met, therefore we have a triangle possible.
=======================================================
Problem 2
Answer: No, a triangle is not possible
-------------------------
Explanation:
For this problem, and the next two problems, we'll use the triangle inequality theorem also.
Notice that a+b = 4+5 = 9 but this is not larger than c = 9
So the condition a+b > c is not true, and therefore we do not have a triangle possible.
=======================================================
Problem 3
Answer: No, a triangle is not possible
-------------------------
Explanation:
Similar to problem 2. A triangle isn't possible because a+b = 5+6 = 11 which is not larger than c = 12.
=======================================================
Problem 4
Answer: It is possible to draw a triangle
-------------------------
Explanation:
A triangle is possible here because
a+b = 3.5+4.5 = 8 which is larger than c = 7b+c = 4.5+7 = 11.5 which is larger than a = 3.5a+c = 3.5+7 = 10.5 which is larger than b = 4.5=======================================================
Problem 5
Answer: a, c, b
-------------------------
Explanation:
Here are two rules we'll use here
The smallest angle is always opposite the smallest sideThe largest angle is always opposite the largest sideThis applies to triangles only.
From the diagram, we can see that the 28 inch side is the longest. Angle 'a' is opposite this, making angle 'a' to be the largest angle.
Then we see that angle b is opposite the smallest side, so angle b is the smallest angle. Angle c is somewhere in between angles 'a' and b. So that's why we get the order a, c, b when sorting the angles from largest to smallest.
1. if csc β = 7/3 and cot β = - 2√10 / 3, Find sec β
2. find cos y and tan y if csc y = -√6 / 2 and cot y > 0.
3. Find tan x and sin x if sec x = 6/5 and sin x > 0.
Step-by-step explanation:
1.
[tex] \tan \beta = \frac{1}{ \cot \beta } = - \frac{3}{2 \sqrt{10} } = - \frac{3 \sqrt{10} }{20} [/tex]
[tex] \csc \beta \tan \beta = \frac{1}{ \cos \beta } = \sec \beta [/tex]
Therefore,
[tex] \sec \beta = ( \frac{7}{3} )( - \frac{3 \sqrt{10} }{20} ) = - \frac{7 \sqrt{10} }{20} [/tex]
2.
[tex] \csc y = \frac{1}{ \sin y} = - \frac{ \sqrt{6} }{2} [/tex]
[tex] = > \sin y = - \frac{ \sqrt{6} }{3} [/tex]
Use the identity
[tex] \cos y = \sqrt{1 - \sin ^{2} y} \: \: \: \: \: \: \: \: \: \: \: \\ = \sqrt{1 - {( - \frac{ \sqrt{6} }{3}) }^{2} } = - \frac{ \sqrt{3} }{3} [/tex]
We chose the negative value of the cosine because of the condition where cot y > 0. Otherwise, choosing the positive root will yield a negative cotangent value. Now that we know the sine and cosine of y, we can now solve for the tangent:
[tex]\tan \beta = \frac{ \sin y}{ \cos y} =( - \frac{ \sqrt{6} }{3} )( - \frac{3}{ \sqrt{3} } ) = \sqrt{2} [/tex]
3. Recall that sec x = 1/cos x, therefore cos x = 5/6. Solving for sin x,
[tex] \sin x = \sqrt{1 - \cos ^{2} x} = \sqrt{ \frac{11}{6} } [/tex]
Solving for tan x:
[tex] \tan x = \frac{ \sin x}{ \cos x} = (\frac{ \sqrt{11} }{ \sqrt{6} } )( \frac{6}{5} ) = \frac{ \sqrt{66} }{5} [/tex]
what are the possible zeros of f(x)= x^3-3x^2+x+5
Answer:
the only zero should be -1
Solve the quadratic equation by using a graphic approach. Round your answer to the hundredths place,
x² - 2x -
40
a. x= 3.24 or x = -1.24
b. x = 2.73 or x = -0.73
c. x = 4.24 or x = -0.24
d. x = 5.24or x = -1.24
Pls help and explain I’m having a hard time understanding the lesson
Answer:
Step-by-step explanation:
Well, I really don’t like graphic approaches in math, so hear ya go a formula:
Although there are easier ways that work for some quadratics, but this formula works for them all. (It is atached, have a look)
So,
( -(-2)+- square root of ((-2)^2-4(1)(-40)) ) / 2(1)
Note that for a hear I use one, since there is nothing in front of x.
( 2 + (12.8) ) / 2 < with plus
( 2 -(12.8) ) / 2 < with minus
X = 7.4
Or
X = -5.4
(Quad equations have 2 answers)
Tessellations (image below)
9514 1404 393
Answer:
regular octagon
Step-by-step explanation:
In order for a shape to tessellate a plane, there must be a way to arrange the shapes so that the sum of angles at a node is 360°. An arrangement of kites is shown in the attachment. Of course, squares are used to tile planes all the time, as their four 90° corners fit together nicely.
An octagon has internal angles of 135°, which is not a sub-multiple of 360°. Hence there is no way for octagons to fit together to tile a plane.
Octagons will not tessellate a plane.
onathan collects postcards and stamps. The number of postcards in his collection is 12 more than the number of stamps. He has 39 postcards in all. If Jonathan has x stamps, which equation represents this situation and how many stamps does he have?
equation: 39 - 12 = x
x = 27 (stamps)
4 lemons required to make 6 cups of lemonade
Answer:
If you are looking for a fraction, it would be 2/3 lemon per cup of lemonade
Step-by-step explanation:
If you simplify 4/6 it would be 2/3
Management at Webster Chemical Company is concerned as to whether caulking tubes are being properly capped. If a significant proportion of the tubes are not being sealed, Webster is placing its customers in a messy situation. Tubes are packaged in large boxes of . Several boxes are inspected, and the following numbers of leaking tubes are found: Sample Tubes Sample Tubes Sample Tubes 1 8 15 2 9 16 3 10 17 4 11 18 5 12 19 6 13 20 7 14 Total Calculate p-chart -sigma control limits to assess whether the capping process is in statistical control.
Answer:
[tex]UCL = 0.078[/tex]
[tex]LCL = 0[/tex]
Step-by-step explanation:
Poorly formatted question (see attachment)
From the attachment, we have:
[tex]n = 135[/tex] --- the sample size
[tex]Samples = 20[/tex] --- The number of samples
[tex]\sum np = 87[/tex] --- Number of leaking tubes
First, we calculate the number of observations
[tex]\sum n = n * Samples[/tex]
[tex]\sum n= 135 * 20[/tex]
[tex]\sum n= 2700[/tex]
Using 3 sigma control limit, we have:
[tex]z = 3[/tex]
Calculate [tex]\bar p[/tex]
[tex]\bar p = \frac{\sum np}{\sum n}[/tex]
So, we have:
[tex]\bar p = \frac{87}{2700}[/tex]
[tex]\bar p = 0.0322[/tex]
Next, calculate the standard deviation
[tex]s_p = \sqrt{\frac{\bar p* (1-\bar p)}{n}}[/tex]
So, we have:
[tex]s_p = \sqrt{\frac{0.0322* (1-0.0322)}{135}}[/tex]
[tex]s_p = \sqrt{\frac{0.03116}{135}}[/tex]
[tex]s_p = \sqrt{0.0002308}[/tex]
[tex]s_p = 0.0152[/tex]
The control limits is then calculated as:
[tex]UCL = \bar p + z * s_p[/tex] --- upper control limit
[tex]LCL = \bar p - z * s_p[/tex] --- lower control limits
So, we have:
[tex]UCL = \bar p + z * s_p[/tex]
[tex]UCL = 0.0322 +3 * 0.0152[/tex]
[tex]UCL = 0.078[/tex]
[tex]LCL = \bar p - z * s_p[/tex]
[tex]LCL = 0.0322 - 3 * 0.0152[/tex]
[tex]LCL = -0.013[/tex]
Since the calculated LCL is less than 0, we simply set it to 0
[tex]LCL = 0[/tex]
So, the p chart control limits are:
[tex]UCL = 0.078[/tex]
[tex]LCL = 0[/tex]
find two numbers whose ratios is 3 to 5 and whose sum is 88
Answer:
33 and 55
Step-by-step explanation:
[tex]\frac{x}{y}: \frac{3}{5}[/tex]
x + y = 88
3 + 5 = 8
[tex]y(\frac{x}{y}): y(\frac{3}{5})[/tex]
[tex]x= \frac{3}{5}y[/tex]
[tex]y+\frac{3}{5}y=88[/tex]
[tex]\frac{8y}{5}=88[/tex]
[tex]5(\frac{8y}{5})=5(88)[/tex]
8y = 440
8y ÷ 8 = 440 ÷ 8
y = 55
x + y = 88
x + 55 = 88
x + 55 - 55 = 88 - 55
x = 33
HELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPP
Answer:
4. 52 ft^2
5. 25 ft^2
Step-by-step explanation:
15 -11 To get the width of scrapbooking which is = 4
4 * 13 = 52 ft^2
9 - 4 = 5 ft
5 * 5 = 25ft
Find the circumference of the circle shown below if the radius equals 9 inches. Use 3.14 for π. Use the formula
2 x π x r.
A)56.52
B)1,107.36
C)None of these answers
D)113.04
E)254.34
Answer:
A. 56.52 inches
Step-by-step explanation:
the Circumfernce = 2 x π x r
= 2×3.14×9
= 3.14×18
= 56.52 inches
In each turn of a game you toss two coins. If 2 heads come up, you win 2 points and if 1 head comes up you win one point
Answer:
I don't understand pls explain
HELP Will mark brainlist
Answer:
Its B since the decimals are lower than the data.
you find an apartment on Craigslist that is advertised as having an area of 700 square feet. How big is the apartment in square yards? Round to the nearest tenths place. (5 pts) Hint: I yd 3 ft 1 yd 3 ft
Answer:
x = 77.8 square yards
Step-by-step explanation:
Given the following data;
Area = 700 square feet
To find the area in square yards;
Conversion:
1 yard = 3 feet
1 square yard = 9 square feet
x square yard = 700 square feet
Cross-multiplying, we have;
700 = 9x
x = 700/9
x = 77.8 square yards
Which of the expressions below could be factored quickly using the "difference of squares"? Select all that apply.
O 81x² - 12
O x^2 + 25
O 4x^2 – 25
O 9x^2 – 16
O x^2-50
O x^2-81
O x^2-100
Answer:
81x² - 12, no as 12 is not a perfect square x^2 + 25, no as it is a sum of squares 4x^2 - 25, yes 9x^2 - 16, yes x^2 - 50, no as 50 is not a perfect square x^2 - 81, yes x^2 - 100, yesWhich graph represents the function f(x) = –|x + 3|?
Answer:
Where are the graph(s)?
Step-by-step explanation:
Answer: Its A on eng for the graphs.
Step-by-step explanation:
in the parallelogram shown, find x in terms of u and v.
Answer:
x = 2u -v
Step-by-step explanation:
X is the excess when we try to squeeze 2 u's on the side v,therefore
x = 2u -v
The value of x in terms of u and v is √(u²/2 + v²/2).
The parallelogram shown is a rhombus, so all four sides are congruent. This means that the sides labeled u and v are congruent. Since the opposite sides of a parallelogram are equal, the sides labeled u and v are also parallel.
The diagonals of a rhombus bisect each other at right angles. This means that the angles formed by the diagonals are 90°.
The diagonals of a rhombus also divide the rhombus into four congruent right triangles. This means that the triangles labeled 1, 2, 3, and 4 are all congruent.
We can use the Pythagorean theorem to find the length of x. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is x, so the square of the hypotenuse is x². The other two sides are u/2 and v/2. The square of each side is u²/4 and v²/4. Therefore, we can write the following equation:
x² = u²/4 + v²/4
Solve for x:
x² = u²/2 + v²/2
x = √(u²/2 + v²/2)
Therefore, x is equal to √(u²/2 + v²/2).
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triangle area ?
Answer:
A= 21.65063509
Step-by-step explanation:
triangle area is =base*hight/2
Because we have a right triangle we can apply the trigonometric functions
sin30 =base/hypothenuse = base/10
cos 30 = hight/hypothenuse =hight/10
sin30 = base /10 ; multiply both sides by 10
base = 10*sin30
cos 30 = hight /10 ; multiply both sides by 10
hight = 10 cos 30
A= 10*sin30*10*cos30/2 =
100*sin 30*cos 30/2=
50*sin30*cos30 = ; use calculator make sure is set up in degrees
A= 21.65063509
Elizabeth has $26 left after shopping at the mall. She bought 2 shirts for $22.99 each, a drink for $2.02, and 2 books for $16 each. How much money did she start with?
Step-by-step explanation:
22.99 × 2 + 2.02 + 16 × 2 + 26= $106
What’s the slope. Jackie charges her phone over night. This graph shows how much the battery depletes on an hour basis
Answer:
slope (m) = 5
Step-by-step explanation:
rise/run, -10/-2 = 5
(a) If (x - 2)(x-5) <0 and x e N then find x.
Answer:
x = 3 or x = 4.
Step-by-step explanation:
We are given the following inequality:
[tex](x - 2)(x - 5) < 0[/tex]
It is a product, and a product is negative when one term is positive and the other is negative.
First case:
[tex]x - 2 > 0 \rightarrow x > 2[/tex]
And
[tex]x - 5 < 0 \rightarrow x < 5[/tex]
Thus, in the natural set: x = 3 and x = 4.
Second case:
[tex]x - 2 < 0 \rightarrow x < 2[/tex]
And
[tex]x - 5 > 0 \rightarrow x > 5[/tex]
Empty set.
Union of the cases:
Second case is the empty set, so we only count the first case. Thus x = 3 or x = 4.
What is the volume of a cube whose sides are each 1 3/4 ft?
Answer:
5.4 (rounded)
Step-by-step explanation:
the volume of a cube is length*width*height so here all three are 1 3/4 (same as 1.75) and so you multiply 1.75 * 1.75 * 1.75 and that gives you 5.4 when rounded.
ntial)
Given: 21 22
Prove: a b
What is the missing statement in the proof?
1
a
4
ar
b
2
PLEASE HELP ASAP !!! WILL MARK BRAINLIEST !!!
Answer:
C
Step-by-step explanation:
Have a nice day
Definition: A number greater than 0 is called ____.
Answer:
a positive number as 0 is a neutral.
