Solution :-
Here, we have been given that lines f and g are parallel. Thus, the angle measuring 135° and ∠2 are vertically opposite angles.
And we know that vertically opposite angles measure same. Thus,
∠2 = 135°
Hope that helps ~~~
Find the volume of the composite shape. And round to the nearest tenth.
Answer:
2010
Step-by-step explanation:
volume of a cube= hxlxw
5x5x5=125
V=πr2h
π10^2x6=1884.9=1885
1885+125=2010
Find a degree 3 polynomial whose coefficient of x^3 equal to 1. The zeros of this polynomial are -5, -4i, and 4i. Simplify your answer so that it has only real numbers as coefficients.
I got an answer by solving (x^3+5x^2-16x-80) but it says thats incorrect.
Answer:
x^3+5x^2+16x+80
Step-by-step explanation:
You know that you can write your polynom this way : (x-r1)(x-r2)(x-r3) with r1,r2 and r3 the roots so you get :
(x+5)(x+4i)(x-4i)
Simplify (x+4i)(x-4i) with the formula (a-b)(a+b)=a²-b²
so you have (x^2+16)=(x+4i)(x-4i)
Your polynom looks like this :
(x^2+16)(x+5) just expand it
and you get x^3+5x^2+16x+80
find x correct to 2 decimal places
Answer:
Step-by-step explanation:
The value of x in the triangle is 205.24 calculated by using tan function.
By using tan function we find the value of x.
Let us divide x to two parts which includes two right triangles.
We know than tan function is a ratio of opposite side and adjacent side.
tan 55 = 106/adj
adj= 106/1.428
adj=74.22
Now let us find the adjacent side length of larger triangle similarly.
tan 39 = 106/ adj
0.809 = 106/adj
adj=106/0.809
adj=131.025
So the value of x is 74.22+131.025
=205.245
Hence, the value of x in the triangle is 205.24.
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given that 10022bse 3 is equal to 155base n find the value of n show all workings
Step-by-step explanation:
log 3 (10022)
= 8.38561
log n (155)= 8.38561
n^8.38561=155
log 10 (n)= log 10 (155)
lpg 10 (155)= 2.190331698
8.38561 log10 (n)=2.190331698
log10 n = 2.190331698÷8.38561
lo^-1 (0.2612012)
=1.825
n=1.825
Solve for x: ___ degrees.
Answer:
63
Step-by-step explanation:
This is a cyclic quadrilateral, meaning that its opposite angles are supplementary. So, x=180-117=63.
13. The diagram shows the support bracket for a restaurant sign. AB=60 cm, AC=109 cm and ZBAD=41°. A 41° 109 cm 60 cm NOT TO SCALE B С D THE BROTHERS CONCH DINNERS Calculate (a) the length of BC [3] [3] (b) the angle C (c) [3] the length of AD
Answer:
(a) BC = 91 cm
(b) ∠C = 33.4° (nearest tenth)
(c) AD = 79.5 cm (nearest tenth)
Step-by-step explanation:
(a) Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = AB = 60 cmb = BCc = AC = 109 cm⇒ 60² + BC² = 109²
⇒ 3600 + BC² = 11881
⇒ BC² = 11881 - 3600
⇒ BC² = 8281
⇒ BC = √(8281)
⇒ BC = 91 cm
(b) Sine rule to find an angle:
[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]
(where A, B and C are the angles, and a, b and c are the sides opposite the angles)
Given:
∠B = 90°b = AC = 109 cmc = AB = 60 cm[tex]\implies \dfrac{\sin (90)}{109}=\dfrac{\sin C}{60}[/tex]
[tex]\implies \sin C=60 \cdot\dfrac{\sin (90)}{109}[/tex]
[tex]\implies \sin C=\dfrac{60}{109}[/tex]
[tex]\implies C=33.39848847...\textdegree[/tex]
[tex]\implies C=33.4\textdegree \ \sf(nearest \ tenth)[/tex]
(c) Sine rule to find a side length:
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
(where A, B and C are the angles, and a, b and c are the sides opposite the angles)
Sum of interior angles of a triangle = 180°
Given:
∠B = 90°b = AD∠D= 180° - 41° - 90° = 49°d = AB = 60 cm[tex]\implies \dfrac{AD}{\sin (90)}=\dfrac{60}{\sin (49)}[/tex]
[tex]\implies AD=\sin (90) \cdot \dfrac{60}{\sin (49)}[/tex]
[tex]\implies AD=79.5007796...[/tex]
[tex]\implies AD=79.5 \ \sf cm \ (nearest \ tenth)[/tex]
PLEASE HELP ME ASAP
( I WILL MARK BRAINLIEST )
Answer:
6.5
Step-by-step explanation:
BRAINLIEST PLEASE
Find the output, y, when the input, z, is 6.
8+
6+
4+
A
H
.
4
-2
2
4
6
6
8
-2-
-4+
-6-1
87
Report a problem
Answer:
when the x input is 6 the y output is 7
One tube of paint covers 1,400 square inches of ramp. Based on this, how many tubes of paint will be needed to paint the ramp?
Use your answer from the question above to help you answer this question.
my answer above was
2,905 square inches
The tubes of paint that would be needed to paint the ramp with an area of 2905 inches is 3 tubes of paint
What is division?Division is a mathematical operation that is used to determine the quotient of a number. The sign used to represent division is ÷.
What is the number of tubes of paints needed?2905 / 1400 = 2.075 tubes of paint
To learn more about division, please check: https://brainly.com/question/194007
Answer:
you really go to the cca
Step-by-step explanation:
you really go to the cca
19, 19, 27, 93, 121, 203, 291, 372, 389, 405, 453, 493, 549, 565, 775
Find the (median, mode, range, and mean) of the data set, and pls show how to find each of them.
Answer:
mean: 318.266
median: 372
mode: 19
range: 756
Step-by-step explanation:
to find the mean or the average, add all the numbers up and divide them by how many there are. example: 5 + 5 + 5 = 15 ÷ 3 = 4
to find the mode, all you have to do is find the number that is most common, there can be multiple modes
for the range, you subtract the smallest number from the largest
finally, to get the median, you put all the numbers in order from smallest to biggest and make your way to the number in the middle, if there are two numbers in the middle, add them up and divide them by two
Answer:
Mean: 298.87
Mode: 19
Median: 372
Range: 756
Step-by-step explanation:
Mean is the sum of terms over the total number of terms.
(19+19+27+93+121+203+372+389+405+453+493+549+565+775)/15 = 298.87
Mode is the most repeated term or value in the set.
(19,19,27,93,121,203,372,389,405,453,493,549,565,775) the only value repeated is 19
Median is the middle of the data set.
With 15 values the middle is 372
Range is the extent of all values between smallest and largest values
Largest values is 775, and the smallest is 19. 775-19 = 756
When asked to factor the trinomial 6x^2 - 18 + 12, a student gives the answer (x - 2)(x - 1). What is the one thing wrong with this answer?
A. 6 is also a factor of this trinomial
B. The minus signs should always be plus signs
C. There is nothing wrong with the answer
D. The factors are not simplified
Answer:
the answer is C which one is this
In the diagram, the length of Line segment Y Z is twice the length of Line segment A Z.
Triangle X Y Z is shown. Angle X Y Z is a right angle. An altitude is drawn from point Y to point A on size Z X to form a right angle.
Line segment Y A is an altitude of ΔXYZ. What is the length of Line segment Y A?
5 StartRoot 3 EndRoot units
10 StartRoot 3 EndRoot units
15 units
20 units
Answer:
5 startrood 3 endroot units .
The length of YA from the figure is 10√3 units
Pythagoras theoremAccording to the pythagoras theorem;
YZ² = AZ² + YA²
Given that YZ = 2AZ, hence;
20² = 10² + YA²
YA² = 400 - 100
YA² = 300
YA = √300
YA = 10√3 units
Hence the length of YA from the figure is 10√3 units
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Label each point on the number line with the correct value.
Click each dot on the image to select an answer. Choices:
Answer:
dot A is 0.62 dot B is 7/9 and dot C is 10/9
Step-by-step explanation:
A rectangular room measures 18 ft by 37 ft. How many
square feet of tile are needed to cover the floor?
Step-by-step explanation:
the area of a rectangle is length × width.
in our case
37 × 18 = 666 ft²
so, we need 666 ft² of tiles.
Answer:
666 square feet
Step-by-step explanation:
To find the number of square feet of tile, we need to find the area:
A = L × W
A = 18 × 37
A = 666 ft²
PLEASE HELP PLEASE help
Answer:
Q. Equal
Step-by-step explanation:
"The same" means equal. Its kind of like equations.
1 is equal to 1 they are the same number
answer: Equal
Step-by-step explanation: being the same in quantity, size, degree, or value.
11. Maria's age is 3 years more than twice George's age. Which expression represents George's age in terms of Maria's?
Answer:
C
Step-by-step explanation:
Okay, the catch of this question is that they do a very good job of explaining Maria's age in terms of George's age, but they leave George's age in terms of Maria's all up to you.
First start off by doing an expression of what they explicitly give you. Maria's age in terms of George's age.
Let's use variables g, representing George's age and m representing Maria's age
m = 2g + 3
Okay, this is all dandy and all, but they ask us for George's age in terms of Maria's, so we need to isolate for g.
subtract the 3 from both sides, like so:
m - 3 = 2g
then divide 2 from both sides: (remember we're dividing the whole thing)
(m-3)/2 = g
Now we have an expression for George's age in terms of Maria's.
g = (m-3)/2 or [tex]g = \frac{m-3}{2}[/tex]
The answer that gives us this, is C.
hey guys can you please help me with these questions please explained them
B for question 12
B for question 13
Step-by-step explanation:
U = Union
n= intercestion
B'= not b
A"= not a
so AnB'
should be B
if 2.50 = 1
2.50x8=
20
1×8 =
8
should be $8
Solve by completing the square:
x2 + 2x-8= 0
-8
a.
x = -4 or 2
b. X= 4 or 2
-
=
c.
x= -4 or - 2
d. X= 4 or - 2
x
50 POINTS!
Exploiting for points will be reported.
Sophie deposited money into an account in which interest is compounded semiannually at a rate of 3.7%. She made no other deposits or withdrawals and the total amount in her account after 15 years was $12,158.10. How much did she deposit?
SHOW WORK FOR BRAINLIST
$7,015.11
total money accrued : $12,158.10years : 15 years rate of interest : 3.7%deposited : ADepth meanings:
P is deposited moneysemiannually : 2 times in a yearA is received or acquired moneyt is time in yearsr is rate in percentage[tex]\sf P = \dfrac{A} { (1 + \dfrac{r}{n})^{nt}}[/tex]
[tex]\rightarrow \sf P = \dfrac{12,158.10} { (1 + \dfrac{3.7\%}{2})^{(2)(15)}}[/tex]
[tex]\rightarrow \sf P = \dfrac{12,158.10} { (1 + \dfrac{0.037}{2})^{(2)(15)}}[/tex]
[tex]\rightarrow \sf P = 7015.113646[/tex]
A jewelry case has a base area of 37.5 sq cm and a height of 1.5 cm ..what is the volume of 6 of these cases
Answer:
As Per Provided Information
A jewellry case has a base area of 37.5 sq cm and a height of 1.5 cm .
Total Number of these cases are 6 .
We have been asked to determine the volume of these cases .
[tex]\bf\: Volume_{(Jewellery \: Cases)} = Base \: Area \: \times height \times Total \: number \: of \: Jewellery \:Cases[/tex]
Let's substitute the given value and we obtain
[tex]\sf\longrightarrow\:Volume_{(Jewellery \: Cases)} = 37.5 \times 1.5 \times 6 \\ \\ \\ \sf\longrightarrow\:Volume_{(Jewellery \: Cases)} = \: 56.25 \times 6 \\ \\ \\ \sf\longrightarrow\:Volume_{(Jewellery \: Cases)} = \: 337.5 \: {cm}^{3} [/tex]
Therefore,
Volume of 6 jewellery cases are 337.5 cm³Step-by-step explanation:
Given:-
Base area :- 37.5 sq. cmHeight:- 1.5 cmTo Find:-
Volume of such 6 jwellery caseSolution:-
Volume of 1 box :- base area × height
37.5 cm² × 1.5 cm
56.25 cm³
So , volume of 6 such cases :- 56.25 × 6
= 337.5 cm³
When 3(2x^2+4x+7)−(x^2−8x+11) is simplified, what is the coefficient of the x term?
Answer:
Step-by-step explanation:
when 3(2x^2+4x+7)−(x^2−8x+11) is solved you get
5x^2 + 20x + 10.
the x term is
−
2
+
√
2
,
0
)
,
(
−
2
−
√
2
,
0
)
[tex]3(2x^2+4x+7)-(x^2-8x+11)\\\\=6x^2 +12x + 21 -x^2+8x -11\\\\=5x^2+20x +10\\\\\text{The coefficient of the x term is 20}[/tex]
Choose the multiplication problem that correctly shows partial products.
A) A
B) B
C) C
Answer:
B
Step-by-step explanation:
62x4=248
4x2=8
6x4=24 and carry the 0 and get 240
240+8=248 and you get B
A paint mixer wants to mix paint that is 15% gloss with paint that is 30% gloss to make 5 gallons of paint that is 20% gloss. How many gallons of each paint should paint mixer mix together?
The paint mixer should use 2 gallons of 15% gloss paint and 3 gallons of 30% gloss paint.
The paint mixer should use 3 gallons of 15% gloss paint and 2 gallons of 30% gloss paint.
Sabrina, to find which fits, plug them in. Since 20% is closer to 15% than 30%, we know that more 15% is used than 30%.
3(.15) + 2(.3) = 5(.2)
.45 + .6 = 1
Nope
(10/3)(.15) + (5/3)(.3) = 5(.2)
.5 + .5 = 1
can someone pls answer the UNANSWERED questions. (the ones that dont have the blue dot on them) WILL MARK BRAINLIEST
Answer:
7.B
9.A
Step-by-step explanation:
Gcf of 24 and 36
is 12
a^2 and a is a
180-50
=130
acute mean less than 90 degrees
180-89=41
89 and 41 are acute
1 is also wrong
Answer:
7. B 2·2·3·a
9. B 41°
Step-by-step explanation:
You want the greatest common factor of 24a² and 36ab, and you want the smallest integer-valued angle in an acute triangle with one angle 50 degrees.
7. GCFThe factors of 24a² are 2·2·2·3·a·a.
The factors of 36ab are 2·2·3·3·a·b.
The factors these lists have in common are 2·2·3·a, matching choice B.
9. AnglesIf one angle of a triangle is 50°, the sum of the other two angles must be ...
180° -50° = 130° . . . . . . sum of angles B and C
One of these angles will be the smallest it can be only if the other is the largest it can be. The largest integer acute angle is 89°, so the smaller angle will be ...
130° -89° = 41°
The smallest possible angle in the acute triangle is 41°.
__
Additional comment
8. A dodecagon has 12 lines of symmetry, 6 through opposite vertices, and 6 through opposite sides. The correct choice for 8 is A.
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Police use the formula: v = √ 20 L to estimate the speed of a car, v , in miles per hour, based on the length, L , in feet, of its skid marks when suddenly braking on a dry, asphalt road. At the scene of an accident, a police officer measures a car's skid marks to be 109 feet long. Approximately how fast was the car traveling? Round your answer to the nearest tenth (one decimal place) of a unit.
Answer: The car was traveling at approximately ____________ miles per hour.
Answer:
46.7 mph
Step-by-step explanation:
The speed can be found by substituting the measured skid length for the variable in the formula.
v = √(20L)
v = √(20×109) = √2180 ≈ 46.7
The car was traveling at approximately 46.7 miles per hour.
The radius of Circle A is 4 cm. The radius of Circle B is 4 cm greater than the radius of Circle A. The radius of Circle C is 5 cm greater than the radius of Circle B. The radius of Circle D is 3 cm less than the radius of Circle C. What is the area of each circle? How many times greater than the area of Circle A is the area of Circle D?
*There are 4 parts*
Answer:
the area for
a=16pi or 50.26548...
b=64pi or 201.061329...
c= 169pi or 530.929158...
d=100pi or 314.159265
d is 19.7392088... or 6.25pi times greater than a
Step-by-step explanation:
the decimal values are more accurate for the d is greater than circle a
so you start with a=4 in radius then b=a+4, c=b+5, d=c-3
then solve the equation a=4, b=8, c=13, d=10
then you solve for the area using the formula radius squared pi
getting the answers above
as for the second answer you would divide d to a getting the amount of times more above for circle d and circle a
what is the volume of a rectangular prism with height of 12 inches and a base with an area of 2 square inches.
Answer:
24 cubic inches
Step-by-step explanation:
Volume is side x side x side. You already have done side x side so it is just side x area.
Write an equation in standard form of an ellipse that has a vertex at (0, 6), a co-vertex at (1, 0), and a center at the origin.
Answer:
The standard form of the equation of the ellipse is x² + y²/36 = 1
Step-by-step explanation:
* Lets revise the standard equation of the ellipse
- The standard form of the equation of an ellipse with
center (0 , 0) is x²/b² + y²/a² = 1
where,
* the length of the major axis is 2a
* the coordinates of the vertices are (0 , ±a)
* the length of the minor axis is 2b
* the coordinates of the co-vertices are (±b , 0)
* the coordinates of the foci are (0 , ± c), where c² = a² - b²
* Now lets solve the problem
∵ The vertex of the ellipse is (0 , 6)
∴ a = 6
∵ The co-vertex is (1 , 0)
∴ b = 1
∵ the center is the origin (0 , 0)
∵ The standard form equation is x²/b² + y²/a² = 1
∴ x²/(1)² + y²/(6)² = 1 ⇒ simplify
∴ x² + y²/36 = 1
* The standard form of the equation of the ellipse is x² + y²/36 = 1
find the horizontal asymptote for y= 5x/x+6 .
y = 0
y = −6
none
y = 5
Answer:
[tex]y = 5[/tex]
Step-by-step explanation:
Given function:
[tex]y=\dfrac{5x}{x+6}[/tex]
[tex]\implies y=5 \left( \dfrac{x}{x+6}\right)[/tex]
[tex]\textsf{As }x \rightarrow +\infty, \ \dfrac{x}{x+6} \rightarrow1[/tex]
[tex]\implies y\rightarrow5[/tex]
[tex]\textsf{As }x \rightarrow -\infty, \ \dfrac{x}{x+6} \rightarrow1[/tex]
[tex]\implies y\rightarrow5[/tex]
As [tex]x[/tex] approaches infinity and negative infinity, [tex]y[/tex] approaches 5 (but never gets there). Therefore, the horizontal asymptote is [tex]y=5[/tex]
Put the expressions in order from least to greatest.
Answer:
[tex]\frac{11^{4} }{11^{11} } ,\frac{1}{11^{-4} }, 11^{5}*11^{2}, (11^{-3})^{-3}[/tex]
Step-by-step explanation:
For this, you need to know the rules of exponents:
If the coefficient is the same, you can do things to it (which I will get into)
In this case, all the coefficients are 11, so we don't have to worry about the coefficients being different.
For the first one, you can subtract the denominator exponent by the numerator exponent like so:
[tex]11^{4} * 11^{-11} = 11^{-7}\\[/tex]
(When you multiply, you add the exponents)
Also, the rule is: [tex]x^{-y} = \frac{1}{x^{y} }[/tex] or [tex]\frac{1}{x^{-y} } = x^{y}[/tex]
For the second one, you can use the rule mentioned before:
[tex]\frac{1}{11^{-4} } = 11^{4}[/tex]
For the third one, you want to multiply the exponents (in these kinds of cases, you can multiply the exponent by the exponent)
So:
[tex](11^{-3} )^{-3} = 11^{9}[/tex]
Finally, the fourth one, you can simply just add the exponents:
[tex]11^{5} * 11^{2} = 11^{7}[/tex]
Then, just order them from least to greatest by their exponents value :)