Answers
Answer:
a = 49°
Step-by-step explanation:
OB = OC ( both radii of the circle ), thus
Δ BOC is isosceles and the base angles are congruent, that is
∠ OBC = ∠ OCB = 41° , so
∠ BOC = 180° - (2 × 41)° = 180° - 82° = 98°
The angle on the circumference BAC is half the angle at the centre for angles subtended on the same arc , thus
a = 0.5 × 98° = 49°
If the measure of the angle ∠BOC will be 98°. Then the measure of the angle ∠BAC will be 49°.
What is a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
The central angle is double the angle at the periphery that was subtended by the same chords.
The measure of the angle ∠BCO is 41°.
The angle ∠BCO and angle ∠CBO will be congruent. Because they are angles of an isosceles triangle.
We know that the sum of all the interior angles of the triangle will be 180°. Then the measure of the angle ∠BOC will be given as,
∠BOC + ∠CBO + ∠BCO = 180°
∠BOC + 41° + 41° = 180°
∠BOC = 98°
Then the measure of the angle ∠BAC will be
∠BAC = (1/2) ∠BOC
∠BAC = 1/2 x 98°
∠BAC = 49°
If the measure of the angle ∠BOC will be 98°. Then the measure of the angle ∠BAC will be 49°.
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Related Questions
The digit in the units place of a 2 digit number is 4 times the digit in the tens place. The number obtained by reversing the digits exceeds the given number by 54. Find the given number.
A. 28B. 32C. 15D. 25
Answers
The number in question is 28.
To make solving this problem easier, we need to consider the number.
Let the number is ab.
So that,
4 × a = b
4a = b
We spread the numbers on the options.
28
(4 × 2 = 8) → True
32
(4 × 3 = 2) → False
15
(4 × 1 = 5) → False
25
(4 × 2 = 5) → False
We prove what number of 28 is when the digits is reversed to be greater than 54.
28 ⇄ 82
It is proved that the number 82 is greater than the number 54.
So, the number in question is 28.
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1) How much interest will you pay on a $43,000 car loan with a fixed APR of 4.9% if the loan is
for 5 years?
Answers
With a monthly repayment of $809.49, the total interest on the car loan will be $5,569.67.
How is the total interest computed?We assume that there are monthly repayments and compounding interest on the car loan.
With periodic repayments and compounding interest, the total interest paid on the car loan will be as shown by the car loan calculator.
Car loan = $43,000
Down payment = $0
Fixed Annual Percentage Rate (APR) = 4.9%
Loan term = 5 years
Car Loan Calculator with monthly Repayment:
Payment = $809.49/month
Interest Paid =$5,569.67
Total Paid = $48,569.67
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Hannah took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.90 plus $3.75 per mile. The total fare was $80.65, not including the tip. Write and solve an equation which can be used to determine mm, the number of miles in the taxi ride.
Answers
Answer: y=3.75x+1.9
Step-by-step explanation: the pick up fee would be the y-intercept and the per mile cost would be the slope.
The equation that can be used to determine the number of miles in the taxi ride is 1.90 + 3.75x = 80.65.
The number of miles traveled is 21 miles.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
Pick up fee charges = $1.90
Charges per mile = $3.75
Total fare = $80.65
The number of miles traveled = x
We can write an equation as:
1.90 + 3.75x = 80.65
The number of miles traveled:
1.90 + 3.75x = 80.65
Subtract 1.90 on both sides.
1.90 + 3.75x - 1.90 = 80.65 - 1.90
3.75x = 78.75
Divide both sides by 3.75.
x = 21.
Thus,
The equation that can be used to determine the number of miles in the taxi ride is 1.90 + 3.75x = 80.65.
The number of miles traveled is 21 miles.
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Are they congruent? Yes or Not Enough Information b) If so, justification:
Answers
All three sides of the given triangle are the same thus both triangles will be congruent by the SSS rule.
What is congruence?If two figures are exactly the same in sense of their length side all things then they will be congruent.
If it is possible to superimpose one geometric figure on the other so that their entire surface coincides, that geometric figure is said to be congruent or to be in the relation of congruence.
Being two triangles to be congruent either two sides or one angle or two angles and one side or all three sides or angles must be the same.
Or any of the pairs must be the same as SSS, AAA, ASA, SAS
In the given triangles,
Two sides (marked as des and double des) are the same and the third side is the common side thus it will be also the same.
By the SSS rule, both triangles will be congruent.
Hence "All three sides of the given triangle are the same thus both triangles will be congruent by the SSS rule.".
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Write 7 more than w is 25 as an algebraic equation.
Answers
Answer:
w+7=25
Step-by-step explanation:
if you need it solved its
w+7=25
-7 -7
w=18
Answer:
7+w=25
Step-by-step explanation:
when it says more than, that's addition, so 7 more than w is 7+w
25 is the answer so that's self explanatory
what is the sum of 1.34 0.065 4.03
Answers
Answer:
5.435
Step-by-step explanation:
Q) 1.34 + 0.065 + 4.03 = ?
→ 1.34 + 0.065 + 4.03
→ 5.435
Hence, the sum is 5.435.
In art class students are mixing blue and red paint to make purple paint. Isaiah mixes 3 cups of blue paint and 7 cups of red paint. Casho mixes 4 cups of blue paint and 13 cups of red paint. Use Isaiah and Casho's percent of red paint to determine whose purple paint will be redder.
Answers
Based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.
To determine whose purple paint will be redder based on the percent of red paint, we need to compare the ratios of red paint to the total paint used by Isaiah and Casho.
Isaiah's Ratio:
Isaiah mixes 3 cups of blue paint and 7 cups of red paint, making a total of 3 + 7 = 10 cups of paint.
To calculate the percent of red paint, we divide the amount of red paint (7 cups) by the total amount of paint (10 cups) and multiply by 100 to get the percentage:
Red paint percentage for Isaiah = (7 cups / 10 cups) * 100 = 70%
Casho's Ratio:
Casho mixes 4 cups of blue paint and 13 cups of red paint, making a total of 4 + 13 = 17 cups of paint.
To calculate the percent of red paint, we divide the amount of red paint (13 cups) by the total amount of paint (17 cups) and multiply by 100 to get the percentage:
Red paint percentage for Casho = (13 cups / 17 cups) * 100 = 76.47% (rounded to two decimal places)
Comparing the percentages, we can see that Casho's purple paint will be redder because Casho's paint has a higher percentage of red paint (76.47%) compared to Isaiah's paint (70%).
Therefore, based on the percent of red paint, Casho's purple paint will be redder than Isaiah's.
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I NEED AN ANSWER IN MINUTES!!! WILL GIVE BRAINLIEST!!!!
Examine the diagram.
2 lines intersect a horizontal line to form 3 angles. The angles are 1, 90 degrees, 2.
Which statement is true about angles 1 and 2?
Angles 1 and 2 are complementary.
Angles 1 and 2 are vertical.
Angles 1 and 2 are supplementary.
Angles 1 and 2 are adjacent.
Answers
Answer:
I think that angles 1 and 2 are complementary
Step-by-step explanation:
option 1
plz mark brainliest!
Answer:a
Step-by-step explanation:
A rectangle has a width of 46 centimeters and a perimeter of 210 centimeters. What is the rectangles length?
Answers
Answer:
59 cm
Step-by-step explanation:
First, we can do 46x2=92 to find one part of the perimeter. 210-92=118. 118/2=59. So the length is 59.
The students in Colleen's class got to choose whether to visit the zoo or the aquarium. 24 students went to the zoo and 3 students went to the aquarium. What is the ratio of the number of students who went to the aquarium to the total number of students?
Answers
The solution is, the ratio of the number of students who went to the aquarium to the total number of students is 1:9.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
here, we have,
24 students went to the zoo and 3 students went to the aquarium.
i.e. we get,
24 students went to the zoo
3 went to the aquarium
so, total no. of students = 24+ 3
= 27
then, we have,
the ratio of the number of students who went to the aquarium to the total number of students is = 3 : 27
= 1: 9
Hence, The solution is, the ratio of the number of students who went to the aquarium to the total number of students is 1:9.
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Lisa purchases a professional racing bicycle that sells for $4500, including tax. It requires a $300 down payment. The remainder plus a finance charge, is paid back monthly over the next 2 years. The monthly payment is $125.00. what is the finance charge?
Answers
Answer:
The finance charge for the professional racing bicycle is $552.5.
What is the percentage?
A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given Lisa purchased a professional racing bicycle that sells for $3000 including tax.
She made a downpayment of $200,
∴ In 2 and 1/2 years or 30 months, she had to pay $(3000 - 200) = $2800.
Given she pays $111.75 dollars per month,
∴ In 30 months she will pay (111.75×30) = $3352.5.
So the amount she needs to pay as a finance charge is (3352.5 - 2800)
= $552.5, as she already paid $200 as a downpayment, and on the rest of the amount she is paying 111.75 dollars for 30 months.
Step-by-step explanation:
3,352.50+ 200 =3,552.50 - 200 = 3,252.5
Hope this helps!
Find x (circle)
(Btw I don’t know if 5.6 is correct so just ignore that)
Answers
Answer:
A. 11.2
Step-by-step explanation:
But this has nothing to do with 5.6 × 2. Erase that! Lol.
You have a right triangle here. The only thing to do with the circle is that there are two radii (plural of radius) shown. So they have to be the same measure.
The unmarked "bottom" of the triangle, the short leg, is a radius, so it too, is 8.4.
The hypotenuse of the right triangle, the side on the right, the longest side is 5.6 + 8.4.
The hypotenuse is 14.
Let's do some Pythagorean Theorem.
Leg^2+ leg^2=hypotenuse^2
you know,
a^2 + b^2 = c^2
fill in what we know.
8.4^2 + b^2 = 14^2
simplify.
70.56 + b^2 = 196
subtract 70.56
b^2 = 125.44
squareroot both sides
b = 11.2
Point A is located at (3,5) and point B is located at (-2 ,-2).find the distance between point A and B
Answers
Answer:
8.74
Step-by-step explanation:
The distance can be calculated by Distance Formula , as :-
⇒ Distance = √[( x₁ - x₂ )² + (y₁ - y₂ )² ]
⇒ D = √ [ ( 3 + 2)² + (5+2)² ]
⇒ D = √ 5² + 7²
⇒ D = √ [ 25 + 49 ]
⇒ D = √ 74
⇒ D = 8.74 units .
Which measurement is the same for Charles and Jermod?
median
Orange
Olower quartile
Oupper quartile
These dot plots show how many minutes Charles and Jermod spent on homework per day
for three weeks.
15 20 25 30
40 45 50 55 60
Charles's Homework (minutes per day)
15 20 25 30 35 40 45 50 55 60
Jermod's Homework (minutes per day)
Which measurement is the same for Charles and Jermod?
Answers
The measurement is the same for Charles and Jermod are lower quartile and upper quartile. Therefore, options C and D are the correct answer.
From the given dot plot.
The number of minutes Charles spent on homework.
15, 15, 20, 20, 25, 30, 30, 30, 30, 30, 45, 50, 55, 60, 60.
Here, lower quartile = 20
Upper quartile = 50
Median = 30
Range = 60-15
= 45
The number of minutes Jermod spent on homework.
15, 15, 15, 20, 20, 30, 35, 45, 45, 45, 50, 50, 55, 55.
Here, lower quartile = 20
Upper quartile = 50
Median = 45
Range = 55-15
= 40
Therefore, options C and D are the correct answer.
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Pls help ignore my answers :v.
Answers
so u r already finished? don't post it next time
2(2x−3)+4<6x+7−11 just need the answer for this !!!! helppp
Answers
Answer:
x>1
Step-by-step explanation:
4(2x-15)+7(3x+2)=70?
Answers
Answer:
the answer is \(x=4\)
Step-by-step explanation:
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.
hope this helps :)
8x -60 +21x +14 =70
29x -60 +14 =70
29x -46 =70
29x =24
29x/29 = 24/29
x= 1.208333333
does that help?
Use a system of linear equations with two variables and two equations to solve.A number is 13 more than another number. Twice the sum of the two numbers is 6. Find the two numbers. (Enter your answers as a comma-separated list.)
Answers
Given
A number is 13 more than another number. Twice the sum of the two numbers is 6.
To find the two numbers.
Explanation:
It is given that,
A number is 13 more than another number.
And, Twice the sum of the two numbers is 6.
Let x and y be the two numbers.
Then,
\(\begin{gathered} x=y+13\text{ \_\_\_\_\_\_\_\lparen1\rparen} \\ 2(x+y)=6\text{ \_\_\_\_\_\_\_\lparen2\rparen} \end{gathered}\)That implies,
\(\begin{gathered} 2(y+13+y)=6 \\ 2y+13=\frac{6}{2} \\ 2y+13=3 \\ 2y=3-13 \\ 2y=-10 \\ y=-\frac{10}{2} \\ y=-5 \end{gathered}\)Also,
\(\begin{gathered} x=-5+13 \\ x=8 \end{gathered}\)Hence, the two numbers are 8, -5.
Determine the process that describes graphing the function f(x)=20(1.1)2x on the coordinate plane.
Answers
The required graph of the function \(f(x) = 20(1.1)^{2x}\) has been shown.
What is the graph?The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Here,
To graph the function \(f(x) = 20(1.1)^{2x}\) on the coordinate plane, we can follow these steps:
Choose a range of x-values to plot. This will depend on the specific context of the problem or the purpose of the graph. For example, if we are interested in seeing the behavior of the function for small values of x, we might choose x-values between -5 and 5. If we are interested in larger values of x, we might choose a wider range, such as -10 to 10.
Calculate the corresponding y-values for each x-value. To do this, we plug each x-value into the function f(x) and solve for y. For example, if we chose x = -3, we would calculate:
\(f(-3) = 20(1.1)^{2(-3)}\\f(-3) = 20(1.1)^{-6}\\f(-3) \approx0.046\)
So the point (-3, 0.046) is one point on the graph.
Plot each point (x, y) on the coordinate plane. Repeat this for each x-value chosen in step 1. This will give us a set of points that represent the function.
Connect the points with a smooth curve. This will give us the graph of the function \(f(x) = 20(1.1)^{2x}\) .
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If f(x) = 10 - 3x, what is the value of f(2)?
Answers
Answer:
4
Step-by-step explanation:
Put 2 where x is and do the arithmetic.
f(2) = 10 -3∙2 = 10 -6
f(2) = 4
56.12 × 49= ???
send help
Answers
The answer is 3311.08, 56.12 * 49 = 3311.08
Answer:
2749.88
Step-by-step explanation:
THERES THE ANSWER have a NICE DAY!! B-)
make e the subject
e-5=2f
Answers
Answer:
e-5=2f
take '-5' to the other side where '2f' is
e=2f+5
Which of the following expressions is equivalent to 3^2x − 3?
Answers
Answer:
3(3x−1)
Step-by-step explanation:
The graph of the function f(x) = (x - 3)(x + 1) is shown.
Ty
-10-8-6
10
8
6
-6
8
-10-
6
10
X
Which describes all of the values for which the graph is
positive and decreasing?
O all real values of x where x < -1
O all real values of x where x < 1
O all real values of x where 1
O all real values of x where x > 3
Answers
Answer:
all real values of x where x < -1
The correct statement is all real values of x where x < -1.
Option A is the correct answer.
We have,
To determine the values for which the graph of the function
f(x) = (x - 3)(x + 1) is positive and decreasing, we need to analyze the behavior of the function.
Let's consider the factors individually:
(x - 3): This factor is positive for x > 3 and negative for x < 3.
(x + 1): This factor is positive for x > -1 and negative for x < -1.
To determine the overall sign of the function, we need to consider the signs of both factors together.
When both factors are positive or both factors are negative, the function is positive.
When the factors have opposite signs, the function is negative.
From the above analysis, we can conclude the following:
When x > 3, both factors are positive, so the function is positive.
When -1 < x < 3, the factor (x - 3) is negative, while the factor (x + 1) is positive. Therefore, the function is negative.
When x < -1, both factors are negative, so the function is positive again.
Since we are looking for values where the function is positive and decreasing, we can eliminate the options that include positive and increasing regions (such as x > 3).
Thus,
The correct statement is all real values of x where x < -1.
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Elijah gave out a survey to some students in his school about their favorite color. 392 of those surveyed said their favorite color was red. If 56% of the students surveyed said their favorite color was red, how many students were surveyed in total?
Answers
Answer:
700
Step-by-step explanation:
392/56=7*100=700
check it )700*44=30800/100=308 that's about below 392
Look for factors that will help you determine what type of economy exists in Country A.
Based on the clues in this passage, what type of economy does Country A have?
developed
developing
transitioning
command
Answers
developing:
a low GDP
an economy based on agriculture
Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.
The first number in a pattern is 84. The pattern follows the rule divide by 2 then add 10. Find the next three terms and then describe the pattern
Answers
Answer:
84
34
27
Step-by-step explanation:
The diameter of a circle is 12 miles, what is the length of the 180 degree arc in the simplest form?
Answers
9514 1404 393
Answer:
6π ≈ 18.8 miles
Step-by-step explanation:
The full circumference of a 12-mile circle is ...
C = πd
C = π(12 mi)
So, half the circumference of the circle is ...
arc length = 1/2C = (12π mi)/2 = 6π mi ≈ 18.8 mi
In the figure below, points J, K, and L are the midpoints of the sides of AXYZ. Suppose XZ=28, KL = 42, and YZ = 76. Find the following lengths.
Answers
Given data:
The first length is XZ=28.
The second length is KL = 42.
The third side of triangle is YZ = 76.
If line passing through the mid points of the two sides of the triangle then the given line is half of the third side.
\(\begin{gathered} KL=\frac{1}{2}XY \\ XY=2(KL) \end{gathered}\)Substitute the given value in the above expression.
\(\begin{gathered} XY=2(42) \\ =84 \end{gathered}\)The expression for JY is,
\(JY=\frac{1}{2}XY\)Substitute 84 for XY in the above expression.
\(\begin{gathered} JY=\frac{1}{2}(84) \\ =42 \end{gathered}\)The expression for JK is,
\(JK=\frac{1}{2}(YZ)\)Substitute 76 for YZ in the above expression.
\(\begin{gathered} JK=\frac{1}{2}(76) \\ =38 \end{gathered}\)Thus, the value of XY is 84, the value of JY is 42, and the value of JK is 38.
Chris is going to play baseball every 2 days and he is going to play soccer every 3 days. what are the first 3 days that he will do both on the same day?
Answers
Answer:
6,12,18 days
Step-by-step explanation:
Just add 6 to 12 or 6 x 3
6th, 12th and 18th are the first 3 days that he will do both on the same day.
What is Number system?A number system is defined as a system of writing to express numbers
Given that Chris is going to play baseball every 2 days and he is going to play soccer every 3 days.
We need to find the three days that he will do both on the same day
To find this we need to find the common multiples between 2 and 3.
The multiples of 2 are 4, 6, 8, 10,12, 14, 16, 18..
The multiples of 3 are 6, 9, 12, 15, 18...
Let us take first three common multiples of 2 and 3
Which are 6, 12 and 18
Hence, 6th, 12th and 18th are the first 3 days that he will do both on the same day.
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