Answers
Ok so firstly, you need to remember that when a radius is touching a tangent, the angle is always equal to 90°. So x + 57° = 90°. That means your angle is 33°. You have drawn a right angle which is correct so the left triangle's angle is 90° - 33° = 57°. Now because both sides of the triangle is radius, that means c and 57° are equal. That means c = 57°.
Answer:
c = 57 degrees.
Step-by-step explanation:
This is the Alternate Segment theorem:
The angle between a chord of a circle and a tangent to the circle = the angle subtended by the chord in the alternate segment.
So c = 57 degrees.
Related Questions
Marcus deposited his paycheck in the amount of $625.84. he’ll use the check register to record his transaction. what will be his new balance?
Answers
Based on the fact that Marcus has deposited his paycheck in the amount of $625.84, his new balance will be $1,266.15.
What is the paycheck about?A pay check is known to be a cheque that is given to a person for a job done.
Note that Marcus Beginning balance: $640.31
He then Deposit of : $625.84
When you add both together,
His New Balance will be: $1,266.15
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Answer:
$1,266.15.
Step-by-step explanation:
edge
Evaluate the integral, please help!!!
[tex]\int_{0}^{\pi}(1+cosx) dx[/tex]
Answers
Answer:
pi
Step-by-step explanation:
First solve the integral
[tex]\int\ {(1+ cos x} )\, dx[/tex]
[tex]\int\ {1} \, dx +\int\ {cos x} \, dx[/tex]
[tex]\int\ {1} \, dx = x[/tex] and [tex]\int\ {cos x} \, dx = sin x[/tex]
x + sin x
Now consider the limit from 0 to π
[tex]\lim_{0 \to \\pi } (x+sin x)[/tex]
(π +sin π) -(0 +sin 0)
sin π = 0 and sin 0 = 0
π-0
π
Answer:
[tex]\displaystyle \int\limits^\pi_0 {(1+\cos x)} \, dx=\pi[/tex]
Step-by-step explanation:
[tex]\displaystyle \int\limits^\pi_0 {(1+\cos x)} \, dx\\\\=x+\sin x\biggr|^{\pi}_0\\\\=[\pi+\sin\pi]-[0+\sin0]\\\\=\pi[/tex]
Remember your antiderivatives!
a triangle ABC like the one below suppose that a=40, B = 62 and c= 23 (the figure is not drawn to scale) solve the triangle carry your intermediate computations to at least four decimal places , and round your answers to the nearest tenth . if there is more than one solution , use the button labeled "or"
Answers
Answer:
Answer:
A =24.7° ; B = 40.6° ; C =114.7°
Step-by-step explanation:
Cosine Law
a² = b²+c²-2bc cos A
b² = c²+a² -2ca cos B
Sum of three angles of a triangle is 180°.
a = 34 ; b= 53; c = 74
Substituting the given values in the cosine law, we have
34² = 53² + 74² - 2*53 *74 * cos A
7844 cos A = 2809 + 5476 - 1156 = 7129
cos A = 7129/7844 = 0.9088
A = cos⁻¹ (0.9088) = 24.6600° = 24.7°
53² = 74² + 34² - 2 (74)(34) cos B
5032 cos B = 5476 + 1156 - 2809 = 3823
cos B = 3823/5032 = 0.7597
B = cos⁻¹ (0.7597) = 40.5622° = 40.6°
Also, A + B + C = 180°
24.7 + 40.6 + C =180
C =180 - 65.3 = 114.7°
∴ A =24.7° ; B = 40.6° ; C =114.7°
Step-by-step explanation:
Im not sure if it is right. But hope it helps
Rowan bought a bag of jelly beans that
contained 54 ounces of jelly beans. She
divided the jelly beans into bags that
contained 6.75 ounces each. Write a division
equation that could be used to find the
number of bags she made.
Answers
Answer:
[tex]\sf y=\dfrac{54}{6.75}[/tex] or [tex]\sf y=54 \div 6.75[/tex]
(where y is the number of bags made)
Step-by-step explanation:
If Rowan bought a 54 oz bag of jelly beans and divided them into bags that each contained 6.75 oz, to find how many bags were made, divide the total weight of jelly beans by the weight of each bag.
⇒ Number of bags = Total weight ÷ bag weight
= 54 ÷ 6.75
= 8
Therefore, Rowen made 8 bags.
Total weight of jelly beans initially
54ozEach bag contains
6.75ozSo the equation should be
Bags=54/6.75Or
B=54/6.75If we solve we get total bags as 8
I'm Trying to solve this question but it confuses me > Four siblings spent one hour picking blueberries. Jennifer picked 1 5/6 quarts, Lila picked 1 3/4 quarts, Elliott picked 1 1/2 quarts, and Wendie picked 2 1/8 quarts. How many quarts did they pick altogether?
Answers
Quarts they pick altogether 173/24 quarts.
What is quarts?
A unit of volume or capacity in the US Customary System, used in liquid measure, equal to 2 pints or 32 ounces (0.946 liter).
Jennifer picked= 1 5/6= 11/6 quarts
Lila picked= 7/4 quarts
Elliott picked =3/2 quarts
Wendie picked= 17/8 quarts
Total quarts they picked together is= 11/6+7/4+3/2+17/8
= 44+42+36+51/24
= 173/24 quarts
Hence, they picked 173/24 quarts together.
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A bag of flour weighs 90 grams. If the weight of the bag increases by 15% find the new weight of the bag.
Answers
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
weight of bag = 90 grams
According to Question ,
weight of the bag increases by 15%
therefore ,
the new weight of bag ,
[tex] \frac{\cancel{15}}{\cancel{10}\cancel0} \times 9\cancel0 \\ \\ \dashrightarrow \: \frac{3}{2} \times 9 \\ \\ \dashrightarrow \: \frac{27}{2} \\ \\ \dashrightarrow \: 13.5[/tex]
so ,
new weight = 90 + 13.5 kg
= 103.5 kg
hope helpful ~
Increased weight = 90* 15% =90*15/100 = 13.5g
New weight = Original weight + Increased weight
= 90+13.5=103.5g
Answer; 103.5g
please answer question below asap!!
Answers
Answer:
175000
Step-by-step explanation:
If the 1 is centimeters, then you would take 7 centimeters and multiply it by 25000 to get 175000.
Instructions
For this activity, you will need two different coins. First, you will determine the theoretical probability of events. Then, you will flip the coins 100 times and determine the experimental probability of the events.
Flip two different coins 100 times, and record the results of each coin toss in a table like the one below:
Result
Frequency
Two heads 30
Two tails 40
One head, one tail 70
Answer the following questions based on the data you gathered. You must show your work to receive credit.
What is the theoretical probability that a coin toss results in two heads showing?
What is the experimental probability that a coin toss results in two heads showing?
What is the theoretical probability that a coin toss results in two tails showing?
What is the experimental probability that a coin toss results in two tails showing?
What is the theoretical probability that a coin toss results in one head and one tail showing?
What is the experimental probability that a coin toss results in one head and one tail showing?
Compare the theoretical probabilities to your experimental probabilities. Why might there be a difference?
Answers
The experimental probability that a coin toss results in two heads showing is 3/14
The theoretical probability of two headsThe sample space of two coins is:
S = {HH, HT, TH, TT}
In the above sample space, we have:
n(HH) = 1 i.e. number of two headsTotal = 4 i.e. the sample sizeThe theoretical probability of two heads is calculated as:
P = n(HH)/Total
This gives
P = 1/4
Hence, the theoretical probability of two heads is 1/4
The experimental probability of two heads?To do this, we make use of the table in the question
The table is given as:
Result Frequency
Two heads (HH) 30
Two tails (TT) 40
One head, one tail (HT) 70
Total 140
The experimental probability of two heads is calculated as:
P = n(HH)/Total
This gives
P = 30/140
Simplify
P = 3/14
Hence, the experimental probability of two heads is 3/14
The theoretical probability of two tailsUsing the sample space in (a), we have:
n(TT) = 1 i.e. number of two tailsTotal = 4 i.e. the sample sizeThe theoretical probability of two tails is calculated as:
P = n(TT)/Total
This gives
P = 1/4
Hence, the theoretical probability of two tails is 1/4
The experimental probability of two tailsFrom the table in the question, we have:
Two tails (TT) =40
Total = 140
The experimental probability of two tails is calculated as:
P = n(TT)/Total
This gives
P = 40/140
Simplify
P = 2/7
Hence, the experimental probability of two tails is 2/7
The theoretical probability of one head and one tailUsing the sample space in (a), we have:
n(HT) = 2 i.e. number of one head and one tailTotal = 4 i.e. the sample sizeThe theoretical probability of one head and one tail is calculated as:
P = n(HT)/Total
This gives
P = 2/4
Simplify
P = 1/2
Hence, the theoretical probability of one head and one tail is 1/2
The experimental probability of one head and one tailFrom the table in the question, we have:
One head one tail (HT) = 70
Total = 140
The experimental probability of one head one tail is calculated as:
P = n(HT)/Total
This gives
P = 70/140
Simplify
P = 1/2
Hence, the experimental probability of one head one tail is 1/2
Why are there difference between the theoretical probabilities and the experimental probabilities?The reason for the difference between the probability types is because one is as a result of an actual experiment, while the other is an estimate of the experiment.
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How many dots are in 1/2 of this group?
Answers
Answer:
the answer is 9, the total number of dots is 18. which divided into three is 6 in a column.
and the 1/2 of this in the group Is 9
What is the variance of the data set? round to the nearest hundredths. 0.40 0.72 1.15 2.14
Answers
The variance of the data set is 0.43.
What is the variance?The variance is used to measure the spread or the dispersion of a dataset using all the data points in the dataset. The variance is the sum of the squared difference between the data point and the mean.
The first step is to determine the mean: (0.40 + 0.72 + 1.15 + 2.14) / 4
= 4.41 / 4= 1.10
The second step is to subtract the mean from each of the data point and square the difference:
(0.40 - 1.10) ² = 0.49(0.72 - 1.10)² = 0.14(1.15 - 1.10)² = 0.0025(2.14 - 1.10)² = 1.08Add the sum of the squared differences and divide by 4 : 1.7125/4 = 0.43
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You work for a cereal company that is looking to design some new boxes for their cereal. The cereal is sold in the size of 512 cubic units
You will be designing three rectangular prisms with unique dimensions. Find the surface area of each of your prisms, showing your work.
Dimensions and Surface Area
1)
2)
3)
Answers
If the dimension of the rectangular prism will be (4, 8, 16), (2, 8, 32), and (2, 4, 64). Then the surface area will be 448, 672, and 784 square units respectively.
What is a rectangular prism?A closed solid with two parallel rectangular bases joined by a rectangle surface is known as a rectangular prism.
You work for a cereal company that is looking to design some new boxes for their cereal.
The cereal is sold in the size of 512 cubic units.
You will be designing three rectangular prisms with unique dimensions.
The possible dimension of the rectangular prism will be
Volume = 512
Volume = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Then we have
{(4, 8, 16), (2, 8, 32), (2, 4, 64)}
Then the surface area will be
If the dimension is (4, 8, 16). Then the surface area will be
Surface area = 2(4x8 + 8x16 + 16x4)
Surface area = 448 square units
If the dimension is (2, 8, 32). Then the surface area will be
Surface area = 2(2x8 + 8x32 + 32x2)
Surface area = 672 square units
If the dimension is (2, 4, 64). Then the surface area will be
Surface area = 2(2x4 + 4x64 + 64x2)
Surface area = 784 square units
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Given that the statements
△
A
B
C
∼
△
D
E
F
and
△
D
E
F
∼
△
J
K
L
are true, which statement is a valid conclusion?
Answers
Answer:
it is triangle DEF, base on my own understanding
Identify the growth factor for the following exponential function: y= 2.3(1.32)*
A. 2.3
B. 1.32
C. X
D 32%
Answers
Our TA owns four Porsches, each works of the time, and two Ferraris, each works of the time. What is the probability that on a given day, at least half of the Porsches and at least half the Ferraris work
Answers
Based on the percentage of the time that the Porches and the Ferraris work, the probability that at least half of both work on a given day is 0.8172.
What is the probability that only half of the cars work?The Porches work 80% of the time and the Ferraris work 60% of the time.
Using the binomial distribution, the probability that half the Porches work is:
= (⁴ₓ) (0.80)ˣ (1 - 80)⁽⁴ ⁻ ˣ⁾
= 0.9728
The probability that half the Ferraris work is:
= (²ₓ) (0.60)ˣ (1 - 60)⁽² ⁻ ˣ⁾
= 0.84
The probability that only half of both will work is:
= 0.9728 x 0.84
= 0.8172
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8 There are a combined 33 students who play a spring sport of track or
baseball. There are 3 more students on the track team than the baseball
team. How many students are on the track team? How many are on the
baseball team?
30
Answers
The number of students that are on the track team are 18.
The number of students that are on the baseball team are 15.
What are the linear equations that represent the question?a + b = 33 equation 1
a - b = 3 equation 2
Where:
a = number of students that are on the track teamb = number of students that are on the baseball teamHow many students that are on the baseball team?
Subtract equation 2 from equation 1
2b = 30
Divide both sides by 2
b = 30/2 = 15
How many students that are on the track team?
Subtract 15 from 33: 33 - 15 = 18
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Pls answer
THe question below in the image
Answers
Answer:
Question 1: D.Question 2: C.Step-by-step explanation:
Question 1:
Franco made 36 invitations and gave out 14. How many invitations does he have left?
Simple. Solve for the bottom:
Bottom (Total): 36Right (Blue grid): 14Left (Red grid): ?That is the answer D.
Question 2:
Ebba gave out 36 invitations and still has 14 left. How many invitations does she have in all?
Complicated (a bit). Solve:
Bottom (Total): ?Left (Red grid): 14Right (Blue grid): 36That is the answer C.
Solve for x and find the length of GH (show work)
Answers
Answer:
A. How are GH and GI related?
They are tangents.B. Write an equation to solve for x.
GH = GIC. Let's solve the equation...
GH : 2x
GI : x + 12
2x = x + 122x - x = 12x = 12D. Now, that we solve for x, let's find the length of GH....
GH = 2x where, x = 12
2(12)24Therefore, the length of GH is 24.
Ruth ann wants to research two different careers, medical doctor and astronaut. what is a good first step ruth ann could take? if she went to a bookstore to research her careers, which section would she search?
Answers
Ruth can visit US Bureau of Labor Statistics website so that she could know more about those careers.
What is a career?career can be regarded as a profession that individuals choose to follow in his lifetime and this his occupation.
Therefore, in choosing a career , one needs to equip himself with information about it, he can visit Bureau of Labor Statistics.
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Answer:
visit the US. Bureau of Labor Statistics website to find information on both careers and the career section
Step-by-step explanation: well i know it right because i just answered it correct
DOES ANYONE KNOW THE ANSWER ???? Please I can’t fail this test !
Answers
Answer:
the answer I believe will be 25.16
last option is the answer to the question
which statement about a parallelogram is true?
some parallelograms have side lengths that are all different
all parallelograms have opposite sides that are parallel.
all parallelograms have 4 square corners
some parallelograms have more than 4 sides
giving brainiest
Answers
Step-by-step explanation:
all parallelograms have opposite sides that are parallel.
that is the only true statement.
5
——
——
i need help!!
————-
math geniuses pls help me!
Answers
Answer:
C
Step-by-step explanation:
x = 7 cos (2pi/3) y = 7 sin (2pi/3)
x = -7/2 y = 7 sqrt(3) /2
Please help me asap :(
Answers
Answer:
Total surface area=
304+9pi
~= 332.3
Step-by-step explanation:
Surface area is the areas of all the parts/sides/surfaces of the shape all added together.
There is a BOTTOM, 4 SIDES, a flat TOP, and a DOME shape.
The BOTTOM and SIDES are rectangles, so you can get the areas by multiplying length × width (or b•h)
BOTTOM: 8×10 =80
SIDES: There are 4×8 sides. 4×8 = 32. There are two of them 2×32=64.
There are 4×10 sides. 4×10 = 40. There are two of them, 2×40 = 80
For the flat TOP, it is also 8×10=80, but it has a circle cut out of it. Or, well, the circle that's under the dome doesn't count bc of the dome. So we'll take it away.
CIRCLE (under the dome):
Area of a circle is A=pi•r^2= pi•3^2
A = 9pi
So the flat TOP is:
80 - 9pi ~= 51.7
The DOME is a hemisphere (a half ball shape). Surface Area of a sphere is 4pi•r^2 We find that, then take half.
DOME =
4pi•3^2•(1/2)
= 4pi•9•(1/2)
= 18pi
~= 56.5
Now add up all the pieces:
80+64+80+80-9pi+18pi
= 304+9pi
~= 304 +28.3
= 332.3
2 of 8
=
Given that y = 10 cm and 0 = 19°, work out x rounded to 1 DP.
у
х
oo
Answers
Answer:
x = 3.255 cm
Step-by-step explanation:
Given:
⇒ y = 10cm
⇒ θ = 19
To find:
⇒ Value of "n"
Solution
⇒ By Pythagoras theorem
⇒ Δ Sin θ = n/y
⇒ sin 19° = n/10
⇒ 0.3255 = n/10
⇒ n = 0.3255 × 10
⇒ n = 3.255 cm
Hence, the answer is = n = 3.255 cm.
PLease Help its a math problem see image attached i am struggling with this
Answers
Answer:
f(x) = (x+5)^2-1
Step-by-step explanation:
The annual fundraising goal of a college is $100,000. so far $58,743 has been raised. how much more money is needed to reach the goal?
Answers
Answer:
41,257
Step-by-step explanation:
100,000
-
58,743
-------------
41,257
The amount that is needed to reach the goal is $41257 if the annual fundraising goal of a college is $100,000. so far $58,743 has been raised.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The annual fundraising goal of a college is $100,000.
Let x be the amount that is needed to reach the goal.
The linear equation in one variable can be framed as follows:
x + 58,743 = 100,000
x = 100,000 - 58,743
x = $41257
Thus, the amount that is needed to reach the goal is $41257 if the annual fundraising goal of a college is $100,000. so far $58,743 has been raised.
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Explain how the arc BX, central angle BCX, and inscribed BNX are connected. You can compare two or three at a time. B АХ C Z
Answers
Answer:
arc BX = central angle BCX
inscribed BNX = 1/2 of central angle BCX
inscribed BNX = 1/2 of arc BX
Step-by-step explanation:
arc BX = central angle BCX
inscribed BNX = 1/2 of central angle BCX
inscribed BNX = 1/2 of arc BX
Which of the following is a true statement?
6/16 > 7/24
3/5 <5/16
6/16 > 4/10
4/8 < 5/16
Answers
The fractional expression 18/48 is greater than 14/48 or 6/16 is greater than 7/24. Then the correct option is A.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The expressions are 6/16 and 7/24.
Then the LCM of the 16 and 24 will be 48.
Then the expressions will be 18/48 and 14/48.
The fractional expression 18/48 is greater than 14/48 or 6/16 is greater than 7/24.
Thus, the correct option is A.
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Consider the cone with slant height of 13 m and perpendicular height of 12 m: a) Find the length of the radius, r. b) Find the length of the diameter of the cone's base.
Answers
Answer:
Step-by-step explanation:
A shirt is on sale for 40% off. The sale price is $12. How much was the discount?
Answers
Let p = the original price
p - .4p = 12
.96p = 12
p = 12.5
The original price was $12.50
12.5 - 12 = .5
The amount of the discount was $.50
Evaluate. (3/8+3/4)−(1/3+1/6)
Answers
Answer:
0.625
Step-by-step explanation:
You must first calculcate what is in between the parentheses. Firstly, you add 3/8 + 3/4 (as shown in the beginning) to get 1.125. Second, you add 1/3 plus 1/6 (shown in the second part of the equation) to get 0.5. Lastly, you're left with 0.625 after subtracting 0.5 from 1.125.
