Only higher experienced need answer theorems all 5 questions. Thank you 200points if repeating the last question.
Answers
Answer:
first one : inscribed angles create arc twice their degree
so, 115° created a 230 ° arc
360 - 230 = 130°
that means ∠EDG = 1/2 (130) or 65°
second : ∠ABD = 180 - 112 = 68
The arc created APD is 2 times ∠ABD or 136°, therefore ∠x = 136°.
Central Angles and arcs are equal
360° - 136° = 224°
224° is the arc created by ∠APD. Take 1/2 of 224° and you get 112°
Third: ∠ACB and ∠ AOB create the same arc.
since ∠ACB is 48°, the arc is 96° (twice the angle)
if the arc is 98° then the central angle ∠AOB = 98°
360°-98° = 262°
You need this because ∠APB is 1/2(262-98) or 82°
Fourth : Both inscribed angles create the same arc
so the angles are equal
∠DEG = 38°
Answer:
15° created a 230 ° arc
360 - 230 = 130°
that means ∠EDG = 1/2 (130) or 65°
second : ∠ABD = 180 - 112 = 68
The arc created APD is 2 times ∠ABD or 136°, therefore ∠x = 136°.
Central Angles and arcs are equal
360° - 136° = 224°
224° is the arc created by ∠APD. Take 1/2 of 224° and you get 112°
Third: ∠ACB and ∠ AOB create the same arc.
since ∠ACB is 48°, the arc is 96° (twice the angle)
if the arc is 98° then the central angle ∠AOB = 98°
360°-98° = 262°
You need this because ∠APB is 1/2(262-98) or 82°
Fourth : Both inscribed angles create the same arc
so the angles are equal
∠DEG = 38°
Step-by-step explanation:
Related Questions
the diagram below shows a triangular metal plate with sides 4.5cm,6cm and 7.5cm. it has three small circular holes of radius 4mm.calculate the area of the plate to the nearest square centimeters.
Answers
Answer:
d = 4.5 cm
A = 1/4 (p x d²)
= 1/4 (3.14 x d x d)
= 1/4 (3.14 x 4.5 cm x 4.5 cm)
= 15.9 cm2
The area of the plate nearest square centimeters is 12cm².
What is a scalene triangle ?A scalene triangle has three different sides and corresponding to that three different interior angles.
According to the given question we have triangle with sides 4.5cm,6cm and 7.5cm.
We know for a scalene triangle given 3 sides.
area(A) = [tex]\sqrt{s(s-a)(s-b)(s-c)[/tex].
Where S is semi perimeter and a,b,c are the three sides.
= (a+b+c)/2.
= (4.5+6+7.5)/2 cm.
= 18/2 cm.
= 9 cm.
∴ The area of the triangle is
= [tex]\sqrt{9(9-4.5)(9-6)(9-7.5)[/tex]cm².
= [tex]\sqrt{9(4.5)(3)(1.5)}[/tex] cm².
= [tex]\sqrt{182.5}[/tex] cm² this is in between 13 square and 14 square approx 13.5 cm².
Now it has three small circles of radius of 4 mm or 0.4 cm.
We know area of a circle is πr² and area of 3 circles having same radius is 3(πr²) cm².
= 3{π(0.4)²}
= 3{3.14(0.16)} cm².
= 3(0.5024) cm².
= 1.5072 cm².
Now to obtain the area of the scalene triangle with those three holes of 0.4 cm we have subtract the area of the three circles from the triangle which is
= (13.5 - 1.5) cm².
= 12 cm².
learn more about heron's formula here :
https://brainly.com/question/15188806
#SPJ2
Andy's average driving speed for a 4 hour trip was 48 miles per hour. During the first 3 hours he drove 50 miles per hour. What was his average speed for the last hour on his trip.
PLEASE HELP AND SHOW WORK YOU WILL GET BRAINLEST MARK
Answers
Answer:
Step-by-step explanation:
Distance = 48 * 4
Distance = 192
~~~~~~~~~~~~~~~
3*50 = 150
192 - 150 = 42
42 MPH for the last hour
2. Tricky Flips sells a coin that promises to land on heads 3 out of every 4 times. If the coin is
flipped 20 times, which of the following is the number of times you should expect it to land
on head
Answers
Answer:
15
Step-by-step explanation:
Because 3/4 of 20 or 75% of 20 is 15
There are red, blue, and white buttons in a box. The ratio of the
number of red buttons to the number of white buttons is 4:7.
The ratio of the number of blue buttons to the number of red buttons
is 3:2. There are 280 white buttons.
How many buttons are there altogether?
Please help i’m very confused
Answers
Answer:
680
Step-by-step explanation:
Ratio of red to white 4 : 7
Number of white = 280
White + red buttons = x
7x / 11 = 280
7x = 280 * 11
7x = 3080
x = 3080 / 7
x = 440
Number of red buttons 440 - 280 = 160
Number of red bottons ;
Blue + red buttons = x
3 : 2 ; blue : red
3 + 2 = 5 ;
2x / 5 = 160
2x = 160 * 5
2x = 800
x = 800 / 2
x = 400
Number of Blue buttons :
400 - 160 = 240
Total :
White + red + blue
280 + 160 + 240 = 680 buttons
Find the sum of the first 5 terms of the following geometric series.
512 - 256 + 128 +...
Answers
Answer:
352
Step-by-step explanation:
512 - 256 + 128 - 64 + 32 = 352
Evaluate the integral.
∫ 17/ (x^3 − 27) dx
Answers
Answer:
??????????????????????????
The exact area of a hub cap on a tire is
[tex]625\pi[/tex]
cm². What is the hub cap's radius?
Answers
HELP WITH MY MATH PLEASEEE
Answers
Answer:
x = 18
Step-by-step explanation:
JM = LM
8x - 3 = 141
8x = 141 + 3
8x = 144
x = 144/8
x = 18
Answer:
since its a square each side is equal so
8x-3=141
8x=144
x=18
so
A: x=18
Hope This Helps!!!
HELP ME PLSSS!
The graph below have a same shape what is the equation of the red graph?
A) g(x)=(3-x)2
B) g(x)=3-x2
C) g(x)=2-x2
D) g(x)=(2-x)2
Answers
============================================================
Explanation:
The y intercept of the blue curve f(x) is (0,5)
The y intercept of the red curve g(x) is (0,2)
We see that the y intercept has been shifted down 3 units when going from f(x) to g(x). Overall, the entire f(x) curve has been shifted down 3 units to get the g(x) curve.
Based on that, we would say
g(x) = f(x) - 3
g(x) = (5-x^2) - 3
g(x) = -x^2 + (5 - 3)
g(x) = -x^2 + 2
g(x) = 2 - x^2 ..... answer is choice C
Answer:
2-x^2
Step-by-step explanation:
What is the volume of the solid figure?
help pls
Answers
Answer:
B, 4x6x7 and 1x3x3.
Step-by-step explanation:
First, remember the formula: V=LWH (Volume equals length times width times height). Lastly, find the equations that match that formula, therefor B, 4x6x7 and 1x3x3 matches the formula, so B is your correct answer.
some 1 help me plz its algebra 1
Answers
Rise/run. When x is 0, y is 4. When x is 2, y is 14. Y changed by 10 and x changed by 2. 10/2=5
Two cars are 100 km spart One car is traveling at 55 km/h and the other car is traveling at 45 km/h. If they start at the same time and are driving toward each other, how long will it take them to meet? 3 hours 4 hours 5 hours 6 hours
Answers
Answer:
I thinks they take 5 hours to meet each other
Do you think a friend would steal a led light controller after sleeping over cause I cannot find it?
Answers
Answer:
maybe u missplaced it somehow and it also would depend if you trust that person or not. some times that 'friend' can turn out to be fake but i don't mean it about ur friend. for now, u should just ask, there's no harm in that.
Use the calculator to evaluate each expression. Round your answers to the nearest hundredth.(GIVING BRAINLEST TO BEST ANSWER)
Answers
Answer:
tan 43 =.93
cos 67=.39
sin 39=.63
Step-by-step explanation:
tan 43 = .932515086=.93
cos 67=.390731128=.39
sin 39=.629320391=.63
Will mark Brainlest hellpppp
Answers
[tex]h(-3) - h( - 2) = - \frac{5}{ 8} \\ \\ [/tex]
Step-by-step explanation:
[tex]\boxed{h(x) = \frac{2 {x}^{2} - x + 1}{3x - 2}}[/tex]
[tex]h(2) = \frac{2 {(2)}^{2} - (2) + 1}{3(2) - 2} [/tex]
[tex]h(2) = \frac{2 {(4)} - 2 + 1}{6 - 2} [/tex]
[tex]h(2) = \frac{ 8 - 1}{4} [/tex]
[tex]h(2) = \frac{7}{4}[/tex]
[tex]h( - 3) = \frac{2 {( - 3)}^{2} - ( - 3) + 1}{3( - 3) - 2} \\ h( - 3) = \frac{2 (9) + 3 + 1}{ - 9- 2} \\ h( - 3) = \frac{18 + 4}{ - 11} \\ h( - 3) = \frac{22}{ - 11} \\ h(-3) = -2[/tex]
[tex]h( - 2) = \frac{2 {( - 2)}^{2} - ( - 2) + 1}{3( - 2) - 2} \\ h( - 2) = \frac{2 (4) + 2+ 1}{- 6 - 2} \\ h( - 2) = \frac{8 + 3}{- 8} \\ h( - 2) = \frac{11}{- 8} [/tex]
[tex]h(3) - h( - 2) = -2 - \frac{11}{- 8} \\ h(3) - h( - 2) =-2 + \frac{11}{ 8} \\ h(3) - h( - 2) = \frac{-2}{1}+ \frac{11}{ 8} \\ h(3) - h( - 2) = \frac{-16}{8} + \frac{11}{ 8} \\ h(3) - h( - 2) = \frac{-16+11}{8} \\ h(3) - h( - 2) = \frac{-5}{8} \\ - \frac{5}{ 8} [/tex]
Which statement is true about the two stars labeled in this diagram? This is an elliptical galaxy and Star A is older than Star B. This is a spiral galaxy and Star A is older than Star B. This is a spiral galaxy and Star B is older than Star A. This is an elliptical galaxy and Star B is older than Star A.
Answers
Answer:
a
Step-by-step explanation:
If 12 muffins cost $27, how much would 2 muffins cost?
Answers
HELP ASAP PLS 10 points AND BRAINLEST
Answers
Answer:
ABC is congruent to EDC because m<3 = m<4 and m<1 = m<5
Step-by-step explanation:
m<3 and m<4 are vertical angles so they are congruent. m<1 and m<5 are alternate interior angles so they are also congruent.
What is the length of each leg of the triangle below?
459
22
90°
45
O A. 11.12
B. 1
C. 15
D. 11
ET
F. 22
Answers
Answer:
option A
Step-by-step explanation:
since the given triangle is an isosceles triangle it's two remaining sides are equal
let the length of missing side be x
using pythagoras theorem
a^2 + b^2 = c^2
x^2 + x^2 = 22^2
2x^2 = 484
x^2 = 484/2
x = [tex]\sqrt{242}[/tex]
x = [tex]11\sqrt{2}[/tex]
Share $200 between Alice and Brian in the ratio 3 : 5
Alice’s share .......……………………Brian’s share .......……………………
Answers
Answer:
Alice: $75
Brian: $125
Step-by-step explanation:
3 + 5 = 8
200 ÷ 8 = 25
25 × 3 = 75
25 × 5 = 125
Write an explicit formula for an, the nth term of the sequence 63,21,7
Answers
Answer:
63/3=2121/3=77/3=7 -3
10
17 A sequence starts at 300 and 40 is subtracted each timee.
300
260
2200
1800...
The sequence continues in the same way,
What is the first number in the sequence which is less than zerol?
[11]
Answers
9514 1404 393
Answer:
-20
Step-by-step explanation:
300/40 = 7.5, so the 8th term will be the last positive term. It will be 300 -7×40 = 20. The 9th term will be 20 -40 = -20.
__
The sequence starts ...
300, 260, 220, 180, 140, 100, 60, 20, -20, ...
Difference Quotient. Correct answer is shown. It says multiply by conjugate but I don’t understand what that is and how they did it. TIA
Answers
9514 1404 393
Answer:
3/(√(3(x+h)) +√(3x))
Step-by-step explanation:
The conjugate of a binomial is the same sum, but with the sign changed. That is (a +b) and (a -b) are a conjugate pair: each is the conjugate of the other.
The purpose of multiplying expressions involving roots or complex numbers by their conjugate is to take advantage of the relation ...
(a +b)(a -b) = a² -b²
Here. you want to eliminate the h from under the radical, so squaring the radical containing h is useful for the purpose. Hence the conjugate gets involved.
"Multiply by the conjugate" means multiply both the numerator and the denominator by the conjugate. (Effectively, multiply by 1.)
__
[tex]\displaystyle\frac{f(x+h)-f(x)}{h}=\frac{\sqrt{3(x+h)}-\sqrt{3x}}{h}\\\\=\frac{(\sqrt{3(x+h)}-\sqrt{3x})(\sqrt{3(x+h)}+\sqrt{3x})}{h(\sqrt{3(x+h)}+\sqrt{3x})}=\frac{3(x+h)-3x}{h(\sqrt{3(x+h)}+\sqrt{3x})}\\\\=\frac{3h}{h(\sqrt{3(x+h)}+\sqrt{3x})}=\boxed{\frac{3}{\sqrt{3(x+h)}+\sqrt{3x}}}[/tex]
_____
Additional comment
In the end, you will want the limit as h → 0, which will be 3/(2√(3x)). You will notice that h=0 no longer makes the denominator zero, so the limit is found by simple evaluation.
When the "binomial" is a complex number of the form a+bi, its conjugate is a-bi, regardless of the sign of b. That is, the conjugate of a complex number is found by negating its imaginary part. The sign of the real part is left alone.
You need to take a dosage of 10 ml of medicine every 8 hours for 9 days. How many fluid ounces of
medicine should you purchase? Round up to the next whole fluid ounce.
ounces
Answers
Answer:
270 ml
Step-by-step explanation:
30x9=270
A 64-inch board is cut into three pieces so that the second piece is twice as long as the first piece, and the third
piece is 5 times as long as the first piece. Find the length of the longest piece.
Answers
==========================================================
Explanation:
x = first piece2x = second piece, since its twice as long as the first5x = third piece, since its five time as long as the firstx is some positive real number, and the units of each are in inches.
Add up the smaller pieces and we should get 64 inches back again
x+2x+5x = 64
8x = 64
x = 64/8
x = 8
The first piece is 8 inches long.
2x = 2*8 = 16 is the length of the second piece (in inches)
The third piece is 40 inches because 5x = 5*8 = 40
--------
Summary:
first = 8 inches
second = 16 inches
third = 40 inches
Check: 8+16+40 = 64, which confirms the answer
18 = [(-2) + (-1)] =
6
(-24)
(-6)
giving out brainliest
Answers
Answer:
[tex]x = -6[/tex]
Step-by-step explanation:
[tex]18 = [(-2) + (-1)]x[/tex]
Required
Find x
Remove the inner brackets
[tex]18 = [-2-1]x[/tex]
[tex]18 = [-3]x[/tex]
Remove the square bracket
[tex]18 = -3x[/tex]
Divide both sides by -3
[tex]\frac{18}{-3} = x[/tex]
[tex]x = -6[/tex]
HELP !!!! look at the picture
Answers
Answer:
Option C:
g(x) = -3^x
Step-by-step explanation:
Here we can see the graphs of f(x) and the graph of g(x).
By only looking at that, we can see that g(x) is a reflection across the x-axis of f(x).
Remember that for a general function f(x), the reflection across the x-axis is written as:
g(x) = -f(x).
Then, if f(x) = 3^x
and g(x) = -f(x)
replacing f(x) we get:
g(x) = -(3^x) = -3^x
The correct option is C.
1.62 was multiplied by a power of ten to get 16.2. What power of ten was it
multiplied by?
10
100
1,000
Answers
Answer:
10
Step-by-step explanation:
Every time you multiply by 10 you move the decimal point one digit to the right. So if you multiply 1.62 by 10 you move the decimal point one digit to the right so it becomes 16.2.
So the answer is 10
Answer:
The answer is 10
Step-by-step explanation:
Every time you multiply by a power of 10 that does not have a negative exponent, the decimal point moves to the right.
How many times, you might wonder. It all just depends on how many zeroes there are. If there's one 0, (10) then the decimal point just moves one over, if were multiplying by 100 then 2 places over, 1000 three places over, and so on.
1.62 * 10 = 16.2, since the decimal point moved one to the right.
10 is therefore the answer, but if you wanted to you could check the other answers as well.
1.62 * 100 = 162
1.62 * 1000 = 1620
Therefore, the answer is 10. Please mark brainliest if possible. Have a nice day.
WILL MARK YOU IF YOU HELP ME !!!!
Answers
Answer:
Perpendicular bisector
Answer:
perpendicular bisector
Stephen has some money in a box ,if 3/8 of the money is #4.80,how much does he have in the box?
