Answers
Let the unknown angle be x.
Sum of all angles of triangle = 180
x + 55 + 55 = 180
x + 110 = 180
x = 180 - 110
x = 70
Related Questions
2. Find the surface area of the regular pyramid shown to the nearest whole
number.
Answers
Answer:
208m^2
Step-by-step explanation:
area of hexagon = 93.53 using its equation
area of single triangle = 0.5(6*6)
area of all triangles = 6(0.5(6*6))
total area = 207.53
NWN = 208
If PQ || SR and PQRS is an isosceles trapezoid,
find m<1
Answers
Answer: B
Step-by-step explanation:
Select the correct answer.
A rubber gasket has a circumference of 3.2 cm. When placed in service, it expands by a scale factor of 2. What is the circumference of the gasket when in service?
A.
1.6 cm
B.
3.2 cm
C.
6.4 cm
D.
13.2 cm
Answers
3.2x2=6.4 cm
The required circumference of the gasket after dilation with scale factor 2 is 6.4 cm. Option C is correct.
A rubber gasket with a circumference of 3.2 cm is given. After expansion by scale factor 2 the circumference of the gasket is to be determined.
The circumference is defined as the boundary length of any circular shape.
Here,
Circumference of gasket = 3.2 cm
After dilation with scale factor 2, the circumference became.
Dilated circumference of gasket = 2*3.2 = 6.4 cm
Thus, the required circumference of the gasket after dilation with a scale factor of 2 is 6.4 cm.
Learn more about circumference here:
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#SPJ5
4.72x 10 to the 10th power in standard form
Answers
Answer:
47,200,000,000
Step-by-step explanation:
[tex]4.72*10^{10}[/tex] is in scientific form (notation).
To change this to standard form, we must move the decimal over the amount in the exponent. In this case, that is 10.
Answer:
Step-by-step explanation:
0.6 greater than 0.59?
Answers
Answer:
Yes, 0.6 is greater than 0.59.
Step-by-step explanation:
The easiest way to determine which is greater, 0.6 or 0.59, is to plot both values on a number line.
Use the defined sets to answer the questions. assuming 0 is an even integer, which set is the complement to set b? which set is an empty set? which set would contain the subset e = {1, 3, 5, 7}?
Answers
The universal set contains all possible elements in the set
The complement of set B is the set D.The empty set is the set CThe set D contains the subset E = {1, 3, 5, 7}The complement of set BThe sets are given as:
A = {x | x ∈ U and x > 3} B = {x | x ∈ U and x is an even integer} C = {x | x ∈ U and 2x is an odd integer} D = {x | x ∈ U and x is an odd integer}Where the universal set is:
U = {all integers}
The set B is the set of all even integers.
So, its complement would be the set of all odd integers i.e. set D
Hence, the complement of set B is the set D.
The empty setFrom the set definition, we have:
C = {x | x ∈ U and 2x is an odd integer}
This means that the set C contains elements 2x, where 2x is an odd number.
The element x is an integer, and twice an integer (i.e. 2x) is an even number.
This means that 2x cannot be an odd number;
Hence, the empty set is the set C;
The set that contains the subset E = {1, 3, 5, 7}The subset E = {1, 3, 5, 7} contains odd integers.
From the set definition, set D represents the set of odd integers
Hence, the set D contains the subset E = {1, 3, 5, 7}
Read more about sets at:
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Answer:
D,C,D
Step-by-step explanation:
On edge 2023
What is the value of tan 0 in the circle below
Answers
Answer:
tan theta = root3/3
see image
Step-by-step explanation:
The tangent is y/x in the unit circle. Use Keep-Change-Flip to simplify. See image. You also cannot leave a radical (square root) on the bottom of a fraction, so we need to "fix" that also. Multiply to rationalize (the "fix") see image.
Complete part (a) and part (b) given the following system of equations.
x-y=1
x + 3y =9
Write your answer.
Answers
Answer:
(3,2)
Step-by-step explanation:
Setting up equation so we can use substitution method
x - y = 1 , x + 3y = 9
step 1 set first equation equal to x by adding y to both sides so we can use the substitution method to solve the system of equations.
x = y + 1 , x + 3y = 9
now we can plug in ( or substitute hence substitution method ) the first equation into the second
Solving for y using the substitution method
x + 3y = 9
plug in x = y + 1
y + 1 + 3y = 9
combine like terms
4y + 1 = 9
subtract 1 from both sides
4y = 8
divide both sides by 4
y = 2
Now to find the value of x we plug in the value of y into one of the equations and solve for x.
Solving for x
x - y = 1
y = 2
x - 2 = 1
add 2 to both sides
x = 3
The solution would be (3,2)
Answer:
x = 3 and y = 2 or (3,2) in coordinate form
Step-by-step explanation:
Given:
[tex]\displaystyle \large{\begin{cases} x-y=1 \\ x+3y=9 \end{cases}}[/tex]
Solve by elimination of x-terms by multiplying either one of equations with -1:
For this, I choose to multiply -1 in first equation:
[tex]\displaystyle \large{\begin{cases} -1(x-y=1) \\ x+3y=9 \end{cases}}\\\displaystyle \large{\begin{cases} -x+y=-1 \\ x+3y=9 \end{cases}}[/tex]
Then add both equations:
[tex]\displaystyle \large{-x+x+y+3y=-1+9}\\\displaystyle \large{4y=8}[/tex]
Divide both sides:
[tex]\displaystyle \large{\dfrac{4y}{4} = \dfrac{8}{4}}\\\displaystyle \large{y=2}[/tex]
Next, substitute y = 2 in one of equations to solve for x:
For this, I choose to substitute y = 2 in the first equation:
[tex]\displaystyle \large{x-y=1}[/tex]
Substitute y = 2 in:
[tex]\displaystyle \large{x-2=1}[/tex]
Add both sides by 2:
[tex]\displaystyle \large{x-2+2=1+2}\\\displaystyle \large{x=3}[/tex]
Hence, the solution is x = 3 and y = 2 or you can write as in coordinate form (3,2)
__________________________________________________________
First method is elimination method, I’ll demonstrate another method which is by using matrices to find the solutions.
Given:
[tex]\displaystyle \large{\begin{cases} x-y=1 \\ x+3y=9 \end{cases}}[/tex]
Write the system of equations in matrices form:
[tex]\displaystyle \large{\left[\begin{array}{ccc}1&-1\\1&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] =\left[\begin{array}{ccc}1\\9\end{array}\right]}[/tex]
Let:
[tex]\displaystyle \large{A=\left[\begin{array}{ccc}1&-1\\1&3\end{array}\right] }\\\displaystyle \large{X=\left[\begin{array}{ccc}x\\y\end{array}\right] \\\displaystyle \large{B = \left[\begin{array}{ccc}1\\9\end{array}\right] }[/tex]
From [tex]\displaystyle \large{AX=B \to X=A^{-1}B}[/tex] where:
[tex]\displaystyle \large{A^{-1}=\dfrac{1}{\det A} \left[\begin{array}{ccc}d&-b\\-c&a\end{array}\right] = \dfrac{1}{ad-bc} \left[\begin{array}{ccc}d&-b\\-c&a\end{array}\right] }[/tex]
Find [tex]\displaystyle \large{\det A}[/tex]:
[tex]\displaystyle \large{\det A = ad-bc = 3+1=4}[/tex]
Therefore:
[tex]\displaystyle \large{A^{-1} = \dfrac{1}{4}\left[\begin{array}{ccc}3&1\\-1&1\end{array}\right]}\\\therefore \displaystyle \large{X = \dfrac{1}{4}\left[\begin{array}{ccc}3&1\\-1&1\end{array}\right] \left[\begin{array}{ccc}1\\9\end{array}\right]}[/tex]
Evaluate the matrices:
[tex]\displaystyle \large{X= \dfrac{1}{4}\left[\begin{array}{ccc}3(1)+1(9)\\-1(1)+1(9)\end{array}\right] }\\\displaystyle \large{X= \dfrac{1}{4}\left[\begin{array}{ccc}3+9\\-1+9\end{array}\right] }\\\displaystyle \large{X= \dfrac{1}{4}\left[\begin{array}{ccc}12\\8\end{array}\right]}\\\displaystyle \large{X= \left[\begin{array}{ccc}3\\2\end{array}\right] }\\\therefore \displaystyle \large{\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}3\\2\end{array}\right]}[/tex]
Therefore, the solution is x = 3 and y = 2
1-4
Stan volunteered to work overtime for 6 weeks. He worked an
average
of 47 hours per week. Use the equation h = 6 = 47 to find
the total number of hours Stan worked over the 6 weeks.
Answers
Answer:
282 Hours after 6 weeks
Step-by-step explanation:
Multiply the 6 weeks and the 48 hour a week adverage and theres your answer!
Use the student's work to complete the problem. What
is the product of 3/9 and 2/5
Answers
Answer:
2/15
Step-by-step explanation:
3/9*2/5=
1/3*2/5=
2/15
is y= x/2+6 linear or non-linear
Answers
meaning it’s a line.
this is the equation of a line with 1/2 slope and y-intercept of 6
I hope this helps and is the BRAINLIEST!
Good luck with your studies!!
If x =2/5, y=-4/3, z=8/9, then verify that : x+(y+z) = (x+y) + z
Answers
according to distributive property
x+(y+z) = (x+y) + z
hope it helps...!!!
Explain how you could calculate the surface area of a square pyramid
Answers
There are two different ways to find surface area of square pyramid
1st
If you are given the slant height and the side length[tex]\sf surface \ area \ = \ a^2 + 2(a)(l)[/tex]
a = side lengthl = slant height2nd
If you are given the height and the side length[tex]\sf surface \ area = a^2+2a\sqrt{\dfrac{a^2}{4}+h^2 }[/tex]
a = side lengthh = heightAnswer:
sample response
Step-by-step explanation: :)
You would first calculate the area of the base, which is length times width. You would then calculate the area of the faces, which is 1 2 (base times height) and multiply the result by 4 for the 4 faces. Finally, add the area of the base and the areas of the faces.
1) Advertisement XYZ Company charges $35 for the first four lines and $5.25 per extra
line to run the ad for one week. Jacqueline plans to sell her house and places a 15-line
ad.
a. What will Jacqueline's ad cost to run for one week?
b. What will Jacqueline's ad cost to run for four weeks?
Answers
Answer:
a) $92.75, b) $371Step-by-step explanation:
Let the cost be A.
a) Cost to run ad for one week:
A = 35 + 5.25 (15 - 4) = 35 + 5.25*11 = 92.75b) Cost to run ad for four weeks:
4A = 4*92.75 = 371Answer:
See below ↓↓
Step-by-step explanation:
Cost to run one week
$35 [first 4 lines] + $5.25 x 11 [15 - 4 = 11 remaining lines]$35 + $57.75$92.75Cost to run four weeks
Cost of one week x 4$92.75 x 4$368 + $3$371if i gain 50 coins per 52.2 seconds how long would it take to reach 400,500 coins
Answers
Answer:
418122 seconds
Step-by-step explanation:
First divide 400,500 by 50. That is 8010.
Then multiple 8010 by 52.2 and you answer is 418122 seconds. OR
6968.7 Minutes, OR 116.145 Hours, OR 4.839375 Days
B3: Jill filled up her car with 15 gallons of gas for $43.35. Bill filled up his car with 22 gallons of gas for $61.82. Who got the better deal on gas?
Answers
Answer:
Bill go the better deal
Step-by-step explanation:
43.35/15=2.89
61.82/32=2.81
Ejemplos: 4 x 5 = 20 -4.3 = -12 -6-9 = 54 (7) (-7) = -49 Ejercicios: 1. Resuelve 1) -6.4= 2) 4.2 = 5 3) 3 • (-4) = 4) 6 (-4) = 5) (5) (-4) = 6) (-3) (-4) = 7 -5x6= 8) -2 x 1 = 9) -8 -2 = 10) -8 • 4 =
Answers
Answer:
37
Step-by-step explanation:
it just it
Please someone help i dont understand
ill upload the rest in a second
Answers
T1=-11+6(1-1)=-11
T2=-11+6(2-1)=-5
T3=-11+6(3-1)=1
.
.
.
Tn=-11+6(n-1)//
Option one is correct
Question 6:
A7=-9-4(7-1)
=-33//
Question 7:
Tn=0.5*4^n-1
Therefore T6=0.5*4^6-1=512//
Moreover 0.4/2=1/4, 2/8=1/4…
Therefore option two is correct
Question 4:
A2=A(2-1)+5=A1+5=-24+5=-19
.
.
.
A4=A(4-1)+5=-9//
Provide the missing reasons for the proof.
Given: (AB) || (RS)
Prove: QA/QR= QB/QS
Answers
Answer:
Step-by-step explanation:
1) Given
2) <Q is congruent to <Q by reflexive prop of congruence
3) <QBA is congruent to <QSR by alternate interior angles theorem
4) Triangle QBA is similar to triangle QSR by AA theorem
5) QA/QR=QB/QS by CPSP (corresponding parts of similar polygons are proportional)
on a number line show all the values of X that have an absolute value less than three
Answers
Answer:
x can equal 2, 1, 0, -1, -2. A line graph is shown below.
Step-by-step explanation:
The absolute value means simply changing any negative number into a positive number. In this case, anything less than three and more than -3. If it was negative 3, then it would turn into 3. Which isn't less than. This means we can do : 2, 1, 0, -1, -2.
x can equal 2, 1, 0, -1, -2.
The perimeter of arectangular poultry farm is 38 meter . if 3 meter subtracted from its length and 2 meter from its breadth , the length will be two times the breadth .find the area of the farm
Answers
Answer:
82 2/9 square meters
Step-by-step explanation:
The problem statement gives us two relations between length and width. We can write those using equations and the variables L and W for length and widh, in meters.
P = 2(L +W) . . . . . . formula for the perimeter of a rectangle
38 = 2(L +W) . . . . . the perimeter is 38 meters
(L -3) = 2(W -2) . . . . length less 3 is twice the difference of wdith and 2.
__
Dividing the first equation by 2 gives ...
19 = L +W
Solving this for L gives ...
L = 19 -W
Substituting for L in the second equation, we have ...
(19 -W) -3 = 2(W -2)
16 -W = 2W -4 . . . . . . . simplify
20 = 3W . . . . . . . . . . . add W+4
W = 20/3 . . . . . . . . . divide by 3
L = 19 -20/3 = 37/3 . . . . find L from W
__
The area of the farm is the product of length and width:
A = LW = (37/3 m)(20/3 m) = 740/9 m²
A = 82 2/9 m²
The area of the farm is 82 2/9 square meters.
ello mate, i need help with this here question can you help a girl out and if ya do ill give you brainlist :D
Answers
Answer:
B
Step-by-step explanation:
Add the value of the dots
0 + 3/8 + 3/8 + 4/8 + 5/8 + 7/8 = 22/8 = 2 6/8
PLEASEEEE HELLPPPP!!!!!!!!!!!!!!!!
Answers
180-165=x
X=15
Each side of a square barn is 9 meters long. What is the barn's area?
What is the barn's perimeter?
Answers
Answer:
Perimeter = 36 meters.
Area = 81 meters.
Step-by-step explanation:
To find the perimeter of a square you have to add all sides.
To find its area you have to multiply the base by the height of a square.
translate the triangle 3 to the right and 2 down
Answers
Answer:
Step-by-step explanation:
There is no picture but I can give you an explanation of how to do it. You would take each point (vertice) of the triangle and move it on the x-axis 3 and on the y-axis -2. So for example, a point-like (5,4) would become (8,2) You would then repeat this for the remaining vertices.
find the volume and the surface area of the shape
Answers
Answer: 192 is the volume of the shape
Step-by-step explanation: multiply the base area which is 6 and 8 equals to 48 and times the height so 48 Times 12 Equals 576. Sorryyy I don't know the surface area . Divide by 3 equals to 192
Given sinx=0.3, what is cosx? enter your answer as a decimal in the box. round only your final answer to the nearest hundredth.
Answers
The value of the cox will be equal to Cosx=[tex]\pm[/tex]0.95
What is the value of cosx?It is given that
The value of Sinx=0.3
Now we know that
[tex]Sin^2x+Cos^2x=1\\\\0.3^2+Cos^2=1\\\\Cos^2=1-0.3^2\\\\Cos^2x=1-0.9\\\\Cos^x=0.91\\\\Cos=\sqrt{0.91}\\\\Cosx=\pm 0.95[/tex]
Hence the value of Cosx=[tex]\pm[/tex]0.95
To know more about trigonometry identities follow
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for f(x)=4x+2, what value of x makes f(x)=-14
Answers
Hey there,
f(x) = 4x + 2
what value of x makes f(x) = -14?
Answer :x = -4 ✅
Explanations:f(x) = 4x + 2
>> We want f(x) to be equal to -14:
4x + 2 = -14
>> Substract 2 from both sides :
4x + 2 - 2 = -14 - 2
4x = -16
>> Divide both sides by 4:
4x/4 = -16/4
x = -4
✅
Have a good day ;)
Answer:
x = -4
Step-by-step explanation:
Given:
f(x) = 4x + 2If the value of f(x) is -14,
⇒ 4x + 2 = -14 [f(x) = 4x - 2 and -14]
To simplify the equation, we need to isolate the variable completely. Start out by subtracting 2 both sides. This will isolate "x" and the cooeficient of x.
⇒ 4x = -14 - 2⇒ 4x = -16Then, divide 4 both sides to isolate the cooeficient of x on one side and a constant on the other side. The constant will be the value of x.
⇒ 4x/4 = -16/4⇒ x = -4Thus, -4 is the value of x that makes f(x) equivalent to -14
pls help me
What is the volume of the figure?
Answers
Answer:
V = 76 ft³
Step-by-step explanation:
We can find the volume of the figure by finding the sum of volume of the small rectangular prism and big rectangular prism.
V of a rectangular prism = length*hight* width
V = V (big rectangular prism) + V (small rectangular prism)
V = (8·4·2) +(3·2·2)
V = 64 + 12
V = 76 ft³
using the similar triangles below, solve for x !
Answers
Answer:
Step-by-step explanation:
Remarks.
This can be solved as a proportion. A proportion is 2 ratios making a total of 4 parts. If we know 3 of the parts, we can solve for the 4th.
63/(8x - 2) = 49 /42
Notice that the given parts of the top triangle are the numerators of the ratios. The 2 parts of the bottom triangle are the denominators of the proportions
Proportion
63/(8x - 2) = 49 /42
Solution
63/(8x - 2) = 49 /42 Cross Multiply
(8x - 2)*49 = 63 * 42 Combine the right.
(8x - 2)*49 = 2646 Divide by 49
8x - 2 = 54 Add 2 to both sides
8x -2+2=54+2 Combine
8x = 56 Divide by 8
8x/8 = 56/8
Answer: x = 7
