Answer:
30, 150
A + B = 180
A = 2B+ 90
2B + 90 + B = 180
3B = 90
B=30 A=150
Step-by-step explanation:
Answer:
30°
Step-by-step explanation:
Suppose smaller angle = x°
larger angle = (2x+90) deg
Supplementary angles so sum = 180 degree
x+2x+90=180
3x+90=180
3x=180-90
3x=90
x=30
larger angle =2x+78=68+78=146 degree
Smaller angle = 30°
Hope this answer helps you :)
Have a great day
Mark brainliest
ntial)
Given: 21 22
Prove: a b
What is the missing statement in the proof?
1
a
4
ar
b
2
HELP Will mark brainlist
Answer:
Its B since the decimals are lower than the data.
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).
To learn more about value here:
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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]
Let A be a 3 by 6 , B be a 6 by 7 and C be a 7 by 3 matrix. Determine the size of the following matrices (if they do not exist, type N in both answer boxes):
a. AB: ______ by ________
b. BA: ______ by ________
c. A^TB: _______ by ________
d. BC: __________ by ________
Answer:
a. AB: 3 by 7
b. BA: N by N
c. A^TB: N by N
d. BC: 6 by 3
Step-by-step explanation:
Given
[tex]A =3\ by\ 6[/tex]
[tex]B =6\ by\ 7[/tex]
[tex]C =7\ by\ 3[/tex]
Required
The dimension of the following matrices
As a general rule:
For A * B to be successful, the columns in a must equal the rows in B
Using this rule, we have:
[tex]A_{m*n} * B_{n * p} = AB_{m*p}[/tex]
So:
[tex](a)\ AB[/tex]
[tex]A_{3*6} * B_{6*7} \to AB_{3 * 7}[/tex]
[tex](b)\ BA[/tex]
[tex]B_{6*7} * A_{3*6} \to AB_{N * N}[/tex]
The column numbers of B does not equal the row numbers of A.
Hence, BA does not exist
[tex](c)\ A^TB[/tex]
[tex]A^T[/tex] implies that:
If [tex]A =3\ by\ 6[/tex], then
[tex]A^T = 6\ by\ 3[/tex]
So:
[tex]A^T_{6*3} * B_{6,7} \to A^TB_{N*N}[/tex]
The column numbers of A^T does not equal the row numbers of B.
Hence, [tex]A^TB[/tex] does not exist
[tex](d)\ BC[/tex]
[tex]B_{6*7} * C_{7*3} \to BC_{6,3}[/tex]
ratios that are equivalent to 7/6
Answer:
14 : 12 , 21 : 18 and 28 : 24 .
Step-by-step explanation:
Answer:
14 : 12 , 21 : 18 and 28 : 24 .
Step-by-step explanation:
Therefore, 14 : 12 , 21 : 18 and 28 : 24
The price of an item at the store can be defined by the variable x.
Based on this information, which of the options below represents a markup in price for that item?
A) 1.03x
B) 1.08x
C) 1.24x
D) 0.75x
E) 0.68x
Answer:
A) 1.03x ; B) 1.08x ; C) 1.24x
Step-by-step explanation:
Given that :
Price of item = x
The Markup is obtained as :
Initial price + profit
As a percentage :
100% of x + percentage added
x + percentage added
No matter the percentage added to x above, the marked up price will be a certain percentage above 100% of x ; that is > 1x
Hence, the Marked up price will always be greater than 1 ;
From the option given, the possible mark up price will be :
A) 1.03x ; B) 1.08x ; C) 1.24x as they are greater than. 100% of x
what are the possible zeros of f(x)= x^3-3x^2+x+5
Answer:
the only zero should be -1
Does -5 + 7 - 8 = 6?
Answer:
-6
Step-by-step explanation:
-5+7=2
2-2=0
0-the remaining 6 of the 8=-6
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
(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.
i need help :(( please please ease
triangle area ?
Answer:
[tex]\frac{25\sqrt{3}}{2}[/tex]
Step-by-step explanation:
The area of a triangle is given by [tex]A=\frac{1}{2}bh[/tex] where [tex]b[/tex] is the base of the triangle and [tex]h[/tex] is the height of the triangle. In a right triangle, the two legs will represent the base and height, both interchangeable.
In a 30-60-90 triangle, the sides are in the proportion [tex]x:x\sqrt{3}:2x[/tex], where [tex]2x[/tex] is the hypotenuse of the triangle and [tex]x[/tex] is the side opposite to the 30 degree angle. Since the hypotenuse of this triangle is given as 10, the leg opposite to the 30 degree angle is equal to [tex]10\div 2=5[/tex] and the leg adjacent to the 30 degree angle is equal to [tex]5\sqrt{3}[/tex].
Thus, the area of this triangle is equal to:
[tex]A=\frac{1}{2}\cdot 5\cdot 5\sqrt{3}=\boxed{\frac{25\sqrt{3}}{2}}[/tex]
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)
Which 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:
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.
PLEASSE HELP ME WILL MARK YOU!
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.
PLEASE HELP ASAP !!! WILL MARK BRAINLIEST !!!
Answer:
C
Step-by-step explanation:
Have a nice day
Twenty divided by a number algebraic expression
Answer:
20/n
Step-by-step explanation:
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]
Ariel has a plastic ice cream cone in her food playset. The ice cream cone is a half-sphere sitting on top of a cone. What is the
approximate volume of the toy ice cream cone? Use 3.14 for x.
52 Step-by-step explanation:
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
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:
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
help me find the answer
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
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)
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
Definition: A number greater than 0 is called ____.
Answer:
a positive number as 0 is a neutral.
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
A circle has a circumference of 100 m. Find its area
Area of circle=796.5m²
Answer:
Solution given:
circumference of circle=100m
2πr=100m
r=100/(2π)
r=15.92m
now
area of circle=πr²=π×15.92²=796.5m²[approximately]
Answer:
A =796.1783439 m^2
Step-by-step explanation:
circumference = 2 * pi *r
100 = 2 * pi *r
Divide by 2
50 = pi r
Divide by pi
50/pi = r
Using 3.14 for pi
50/3.14 = r
15.92356688=r
Now we can find the area
A = pi r^2
A = 3.14 ( 15.92356688)^2
A =796.1783439 m^2
