Answers
Answer:
Step-by-step explanation:
∠OAB is 90 degrees, tangent and a radius met at 90 degree angle
∠OCB=90 degrees, tan and radius meet at 90 degrees angle
OB=12
find angle BOC:
triangle BOA is right angle triangle:
cos(AOB)=adj/hyp=7/12=54.33
angle B= 180-(90+54.33)=35.67
angle COB=54.33 equal to angle AOB
angle AOC=54.33+54.33=108.66
the sum of angles of circle =360
360-108.66= 251.34( exterior angle at the center AOC)
length of the arc= angle (251.34 degrees*7)
convert degrees to radians=4.386 (251.34/π)
length=r*angle in radian=4.386*7=30.71
( i hope this is the answer)
Related Questions
solve a+1= √b+1 for b
Answers
2. b+1=(a+1)^2
3. b=a^2+2a
So the third option is correct.
Answer: The Third one is correct
Step-by-step explanation:
△ABC and △JKL are two triangles such that ∠A≅∠J and ∠B≅∠K. Which of the following would be sufficient to prove that the triangles are congruent? A ACJL=BCKL B ∠C≅∠L C AB≅JK D BC≅Jk
Answers
We need to know the rules of congruence of triangles to solve the given problem. The required condition that is sufficient to prove that the triangles are congruent is option (C) AB≅JK.
There are three rules of congruence of triangles, if two triangles satisfy any one of these rules then we can say that the triangles are congruent. The three rules are, SSS which means three sides are equal, ASA which means two angles and their corresponding sides are equal and SAS which means that two sides and the angle between them is equal. When two angles are said to be congruent it means they have the same measure that is they are equal. In this question we know that ∠A≅∠J and ∠B≅∠K , we can see that two angles are equal, if we can have the corresponding side of these two angles to be equal then we can say that the two triangles are congruent. The corresponding side of these angles are AB and JK.
Therefore we can see that the required condition to prove that the triangles are congruent is option (C) AB≅JK.
Learn more about congruency of triangles here:
https://brainly.com/question/2736828
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Manuela solved the equation 3−2|0.5x+1.5|=2 for one solution. Her work is shown below. 3−2|0.5x+1.5|=2 −2|0.5x+1.5|=−1 |0.5x+1.5|=0.5 0.5x+1.5=0.5 0.5x=−1 x=−2 What is the other solution to the equation? x=−6 x=−4 x=2 x=4
Answers
Answer:
x = - 4
Step-by-step explanation:
Given
3 - 2 |0.5x + 1.5 | = 2 ( subtract 3 from both sides )
- 2 |0.5x + 1.5 | = - 1 ( divide both sides by - 2 )
|0.5x + 1.5 | = 0.5
The absolute value function always gives a positive value, however, the expression inside can be positive or negative, thus
0.5x + 1.5 = 0.5 ( subtract 1.5 from both sides )
0.5x = - 1 ( divide both sides by 0.5 )
x = - 2 ← solution Manuela obtained
OR
-(0.5x + 1.5) = 0.5 ← distribute parenthesis on left side by - 1
- 0.5x - 1.5 = 0.5 ( add 1.5 to both sides )
- 0.5x = 2 ( divide both sides by - 0.5 )
x = - 4 ← other solution to the equation
Based on the information given, it can be noted that the solution to the equation will be x = -4.
Solving an equation.From the equation given, 0.5x + 1.5 = 0.5
Subtract 1.5 from both sides
0.5x + 1.5 - 1.5 = 0.5 - 1.5
0.5x = - 1
Divide both side by 0.5
0.5x/0.5 = 1/0.5
x = 2
Also, the other solution will be:
-0.5x - 1.5 = 0.5
-0.5x = 0.5 + 1.5
-0.5x = 2
x = 2/-0.5
x = -4.
Learn more about equations on:
https://brainly.com/question/13763238
if a right triangle has one side measuring 3√2 and another side measuring 2√3, what is the length of the hypotenuse?
Answers
Answer:
[tex] \sqrt{30} [/tex]Step-by-step explanation:
Given,
Perpendicular ( p ) = 3√2
Base ( b ) = 2√3
Hypotenuse ( h ) = ?
Now, let's find the length of the hypotenuse:
Using Pythagoras theorem:
[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]
plug the values
[tex] {h}^{2} = {(3 \sqrt{2} )}^{2} + {(2 \sqrt{3} )}^{2} [/tex]
To raise a product to a power, raise each factor to that power
[tex] {h}^{2} = 9 \times 2 + 4 \times 3[/tex]
Multiply the numbers
[tex] {h}^{2} = 18 + 12[/tex]
Add the numbers
[tex] {h }^{2} = 30[/tex]
Take the square root of both sides of the equation
[tex]h = \sqrt{30} [/tex]
Hope this helps...
Best regards!!
[tex]\small\star\underline\bold\red{Given-}[/tex]
Sides of the right triangle
2√3 (p)3√2 (b)[tex]\small\star\underline\bold\red{To\:Find-}[/tex]
Third side (hypotenuse)[tex]\small\star\underline\bold\red{Solution-}[/tex]
By Pythagoras Theorum ,
[tex]\small\fcolorbox{red}{white}{h² = b² + p² }[/tex]
[tex]\implies[/tex] h² = (2√3)² + (3√2)²
[tex]\implies[/tex] h² = 12 + 18
[tex]\implies[/tex] h² = 30
[tex]\implies[/tex] h = √30
The tennis club is selling water bottles and hats to raise money for tennis tournament a water bottle cost four dollars and a hat cost six dollars the club wants to raise $1200 Graph the linear equation Write three ordered pairs(x,y) that exist on the line
Answers
Given: A water bottle cost 4 dollars and a hat cost 6 dollars.
Let x = Number of water bottles
y = Number of hats
The club wants to raise $1200.
i.e. Required equation : 4x+6y=1200
At x=0,
[tex]0+6y=1200\Rightarrow\ y=\dfrac{1200}{6}\Rightarrow\ y=200[/tex]
At x= 300
[tex]4(300)+6y=1200\\\Rightarrow\ 1200+6y=1200\Rightarrow\ 6y=0\Rightarrow y=0[/tex]
At x= 240
[tex]4(240)+6y=1200\\\Rightarrow\ 960+6y=1200\Rightarrow\ 6y=240\Rightarrow y=40[/tex]
So,three ordered pairs(x,y) that exist on the line : (0,200), (300,0) and (240,40)
Plot these point on graph and join them.
Answer: the other guy is correct. Got it right on my test. Have a nice day. :|
Step-by-step explanation:
Maya decides to use the method of proportions and similar triangles to find the height of a tower. She measures the length of the tower's shadow and finds it is 20 feet long. Then she holds a 12-inch ruler perpendicular to the ground and finds that it casts a 4-inch shadow. How tall is the tower? a. 2.4 ft c. 60 ft b. 5 ft d. 240 ft
Answers
Answer: C: 60 ft
Step-by-step explanation:
Her pencil is 12 inches and its shadow is 4 inches. Her pencil is 3 times longer than its shadow, so using that logic we can conclude that the tower is 3 times longer than its shadow as well.
[tex]20*3=60[/tex]
The tower is 60 feet tall.
In the diagram below, you are given that ∠AVD = ∠BVE = ∠CVF= 90° and ∠CVD = 22°. If ∠AVB= ∠EVF, how many degrees are in the measure of ∠AVF?
Answers
Answer:
m∠AVF = 158°
Step-by-step explanation:
In the diagram attached,
m∠AVD = m∠BVE = m∠CVF = 90°
m∠CVD = 22°
∠AVB = ∠EVF
Since ∠AVD = ∠AVC + ∠CVD
Therefore, 90° = m∠AVC + 22°
m∠AVC = 90° - 22°
= 68°
Similarly, m∠CVF = m∠CVD + m∠DVF
90° = 22° + m∠DVF
m∠DVF = 68°
m∠AVC = m∠DVF = 68°
Now ∠AVF = ∠AVD + ∠DVF
= 90° + 68°
= 158°
Sten thinks of a number and gives his friends some clues about it. "My number rounded to the nearest ten, nearest hundred, and nearest thousand gives the same value each time." Which choice is Sten's number? A. 735,619 B. 423,006 C.958,598 D.517,996
Answers
Answer:
Option D.
Step-by-step explanation:
Sten thinks of a number and gives his friends some clues about it.
"My number rounded to the nearest ten, nearest hundred, and nearest thousand gives the same value each time."
Number Nearest ten Nearest Hundred Nearest thousand
A. 735,619 735,620 735,600 736,000
B. 423,006 423,010 423,000 423,000
C.958,598 958,600 958,600 959,000
D.517,996 518,000 518,000 518,000
The number 517,996 gives same values after rounded to the nearest ten, nearest hundred, and nearest thousand.
Therefore, the correct option is D.
WILL GIVE BRAINLIEST TO THE BEST ANSWER Which statements are true? Check all that apply. As the number of trials increases, experimental probability is closer to theoretical probability. As the number of trials increases, theoretical probability changes to more closely match the experimental probability. As the number of trials increases, there is no change in the experimental probabilities. As the number of trials increases, there is no change in the theoretical probabilities.
Answers
Answer:
As the number of trials increases, experimental probability is closer to theoretical probability; as the number of trials increases, there is no change in the theoretical probabilities.
This is a bit hard to explain. I would recommend looking back at your definitions/study guides to better understand this question.
A and D
Please mark brainiest
The total value of a collection of nickels and dimes is $3.05. If the number of nickels is 19 greater than the number of dimes, how many nickels are in the collection?
Answers
Answer:
N = 33
Step-by-step explanation:
N = D + 19
.05N + .10 D = 3.05
N = 33
D = 14
from the figure below identify a)Obtuse vertically opposite angles b) A pair of adjacent complementary angles c) a pair of equal supplementary angles d) a pair of unequal supplementary angles e) a pair of adjacent angles that don’t form a linear pair
Answers
Answer:
a) BOC and AOD
b) BOA and AOE
c) BOE and EOD
d) BOA and AOD
e) AOE and EOD
Step-by-step explanation:
An obtuse angle is an angle that has more than 90° and vertically opposite angles are angle formed by two lines crossed. So, Obtuse vertically opposite angles are BOC and AOD
Adjacent angles are angles in which one angle is beside the other and complementary angles are angles whose sum is equal to 90°, so, a pair of adjacent complementary angles are BOA and AOE.
Supplementary angles are angles whose sum is equal to 180°, so BOE and EOD are equal suplementary angles and BOA and AOD are unequal supplementary angles
Finally, AOE and EOD are adjacent angles that don’t form a linear pair.
Answer? Please make sure you answer it as a simplified fraction.
Answers
==================================================
Work Shown:
Let x = 0.363636...
The "36" pattern goes on forever as indicated by the three dots.
Multiply both sides by 100 to get 100x = 36.363636...
Effectively, multiplying by 100 moves the decimal point over 2 spots to the right. The "36" goes on forever here too. The key is to match up the infinite sequences of "36"s and cancel them out through subtraction
36.363636... - 0.363636... = 36
while
100x - x = 99x
So after subtracting the equations, we end up with 99x = 36
From here we solve for x by dividing both sides by 99 and reducing the fraction
99x = 36
x = 36/99
x = (9*4)/(9*11)
x = 4/11
As a check, use your calculator to find that
4/11 = 0.36363636...
so the answer is confirmed
Note: your calculator may display something like 0.3636363636364, that 4 should not be there. It's a result of rounding (due to the next digit being a 6). Keep in mind that rounding error is often a possibility when it comes to approximate calculations. The calculator only has so much memory and display space.
This table shows values that represent an exponential function. What is the average rate of change for this function for the interval from x=3 to x=5? a. 8 b. 12 c. 6 d. 16
Answers
Answer:
[tex]\boxed{12}[/tex]
Step-by-step explanation:
When x = 3, y = 13
When x = 5, y = 37
Subtract both y-values to find the change:
37 - 13 = 24
Average of the change:
[tex]\frac{24}{2}[/tex] = 12
I already found the answer but it wasn't on brainly, so i want to help by putting it here The athlete’s salary, in thousands, for year n can be represented by: an = 400(1.05)n-1. Find the first four terms, in thousands, of the geometric series. Round to the nearest thousand. a1 = ⇒ 400 a2 = ⇒ 420 a3 = ⇒ 441 a4 = ⇒ 463
Answers
Answer:
the next one is s4=(4En=1)400(1.05)n-1
Step-by-step explanation:
John is trying to convert an area from meters squared to millimeters squared. He multiplied the area he had by 1,000 and got the wrong answer. What should he have multiplied the original area
by?
O 1,000
O 1,000,000
O 10
O 100
Answers
Answer: B.) 1,500,000 centimeters
Step-by-step explanation: I took the test on it! a little hint, If you would've just looked up " Convert 15,000 meters to Centimetres. " The answer would've shown up with the accurate calculator that google has provided! Hope that helps luv <3
Answer:
1,000,000
hope this helps <3
Square all the integers from 1 to 10 inclusive. Then, round each number to the nearest hundred. Finally, sum the numbers. What do you get?
Answers
Answer:
We get the sum of numbers rounded off to nearest 100 = 300
Step-by-step explanation:
Integers from 1 to 10 inclusive.
Squaring them:
[tex]1^{2} = 1\\2^{2} = 4\\3^{2} = 9\\4^{2} = 16\\5^{2} = 25\\6^{2} = 36\\7^{2} = 49\\8^{2} = 64\\9^{2} = 81\\10^{2} = 100[/tex]
Rounding each of them to the nearest 100:
All the number less than 50 are rounded off to previous 100, which is 0.
All the other numbers i.e. 64, 81 are rounded off to 100.
100 is already rounded off, we do not need to round it off.
[tex]1 \rightarrow 0 \\4\rightarrow 0\\9\rightarrow 0\\16\rightarrow 0\\ 25\rightarrow 0\\36\rightarrow 0\\49\rightarrow 0\\64\rightarrow 100\\81\rightarrow 100\\[/tex]
Now, taking the sum of the rounded off numbers:
[tex]0+0+0+0+0+0+0+100+100+100 = 300[/tex]
We get the sum of numbers rounded off to nearest 100 = 300
Calculating actual sum of squares from 1 to 10:
Using the formula:
[tex]S_n = \dfrac{n(n+1)(2n+1)}{6}[/tex]
Here n = 10
[tex]1^2+2^2+3^2+..... + 10^2 = \dfrac{10 \times 11 \times 21}{6} \\\Rightarrow \bold {385}[/tex]
And sum of rounded off numbers = 300
Please can someone help
Answers
Answer:
x=6
Step-by-step explanation:
2x - 5 = 7
Add 5 to each side
2x-5+5 = 7+5
2x= 12
Divide by 2
2x/2 = 12/2
x = 6
Answer:
x = 6.
Step-by-step explanation:
2x - 5 = 7
2x = 7 + 5
2x = 12
x = 6
Check your work!
2 * 6 - 5 = 7
12 - 5 = 7
7 = 7
Hope this helps!
Dora bought a bottle of nail polish that was marked down by 20 percent from its original price of $4.50. Including a 9 percent sales tax, what is the final cost of the bottle of nail polish?
Answers
Answer:3.82
Step-by-step explanation: Find 80% of 4.50 (4.50 x 0.8=3.60) then find 6% of 3.6 (0.06 x 3.6= 0.216) add 0.216 + 3.6= 3.816 but in money you have to round so the answer is 3.82
Answer:
1.8
Step-by-step explanation:
$4.50-%20=3.6
3.6- %9=1.8
a. 5y2 - 60 = 0
by Square root property
Answers
Answer:
y = ± 2sqrt(3)
Step-by-step explanation:
5y^2 - 60 = 0
Add 60 to each side
5y^2 = 60
Divide by 5
y^2 = 60/5
y^2 = 12
Take the square root of each side
sqrt( y^2) = ± sqrt(12)
y = ± sqrt(4*3)
y = ±sqrt(4) sqrt(3)
y = ± 2sqrt(3)
Martin is making a candy that contains 90% milk chocolate and the rest caramels. The candy has 3 pounds of caramels. Part A: Write an equation using one variable that can be used to find the total number of pounds of milk chocolate and caramels in the candy. Define the variable used in the equation.
Answers
Answer: The equation using one variable that can be used to find the total number of pounds of milk chocolate and caramels in the candy is [tex]0.9x+3=x[/tex]
x= Weight of candy in pounds
0.9x = Weight of milk chocolate.
Step-by-step explanation:
Given, Martin is making a candy that contains 90% milk chocolate and the rest caramels. The candy has 3 pounds of caramels.
Let x= Weight of candy in pounds
Then, 0.9x = Weight of milk chocolate.
Then, According to the question
[tex]0.9x+3=x\\\\\Rightarrow\ x-0.9x=3\\\\\Rightarrow\ 0.1x=3\\\\\Rightarrow\ x=\dfrac{3}{0.1}=30[/tex]
So, Weight of milk chocolate. = [tex]0.9\times30=27[/tex]
Hence, the equation using one variable that can be used to find the total number of pounds of milk chocolate and caramels in the candy is [tex]0.9x+3=x[/tex]
What is the length of the line?
Answers
Answer:
[tex]\boxed{\sf B. \ \sqrt{61} }[/tex]
Step-by-step explanation:
The line can be made into a hypotenuse of a right triangle.
Find the length of the base and the height of the right triangle.
The base (leg) is 6 units.
The height (leg) is 5 units.
Apply Pythagorean theorem.
[tex]\sf c=\sqrt{a^2 +b^2 }[/tex]
[tex]\sf c=\sqrt{6^2 +5^2 }[/tex]
[tex]\sf c=\sqrt{36+25 }[/tex]
[tex]c=\sqrt{61}[/tex]
Answer:
[tex] \sqrt{61} [/tex]Option B is the correct option
Step-by-step explanation:
Assuming center of co-ordinate axes at lower left corner at the line. So end points are:
( x1 , y1 ) = ( 0 , 0 ) and ( x2 , y2 ) = ( 6 , 5 )
Distance between two points is given by formula:
D [tex] = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]
[tex] = \sqrt{ {6 - 0)}^{2} + {(5 - 0)}^{2} } [/tex]
[tex] = \sqrt{ {6}^{2} + {5}^{2} } [/tex]
[tex] = \sqrt{36 + 25} [/tex]
[tex] = \sqrt{61} [/tex]
Hope this helps..
Best regards!!
Explains how to find n, the number of copies the machine can make in one minute and How long will it take the machine to print 5,200 copies
Answers
Answer:
[tex]n = 65m[/tex]
Number of minutes is 80 minutes
Step-by-step explanation:
Given
The attached table
Calculating the number of copies the machine can make in a minute
Represent number of minutes with m and number of copies with n
First, we need to calculate the ratio of m to n
[tex]Ratio = \frac{n}{m}[/tex]
When m = 5; n = 325
[tex]Ratio = \frac{325}{5}[/tex]
[tex]Ratio = 65[/tex]
When m = 10; n = 650
[tex]Ratio = \frac{650}{10}[/tex]
[tex]Ratio = 65[/tex]
When m = 15; n = 975
[tex]Ratio = \frac{975}{15}[/tex]
[tex]Ratio = 65[/tex]
When we continue for other values of m and n, the ratio remains the same;
So; we make use of [tex]Ratio = \frac{n}{m}[/tex] to determine the relationship between m and n
Substitute 65 for Ratio
[tex]65 = \frac{n}{m}[/tex]
Multiply both sides by m
[tex]m * 65 = \frac{n}{m} * m[/tex]
[tex]65m = n[/tex]
[tex]n = 65m[/tex]
This implies that, you have to multiply the number of minutes by 65 to get the number of copies
Calculating the number of minutes to print 5200 copies;
In this case;
Ratio = 65 and n = 5200
So;
[tex]Ratio = \frac{n}{m}[/tex] becomes
[tex]65 = \frac{5200}{m}[/tex]
Multiply both sides by m
[tex]65 * m = \frac{5200}{m} * m[/tex]
[tex]65 * m = 5200[/tex]
Divide both sides by 65
[tex]\frac{65 * m}{65} = \frac{5200}{65}[/tex]
[tex]m = \frac{5200}{65}[/tex]
[tex]m = 80[/tex]
Hence; number of minutes is 80 minutes
if OA= 3 & AB= 2 what is the ratio of the circumference of the smaller circle to the circumference of the larger circle
Answers
Answer:
(B) 3/5
Step-by-step explanation:
In the figure above, both circles have their centers at point O. Point A lies on segment OB. If OA = 3 and AB = 2, what is the ratio of the circumference of the smaller circle to the circumference of the larger circle?
(A) 2/3
(B) 3/5
(C) 9/16
(D) 1/2
(E) 4/9
Answer: The circumference of a circle is the perimeter of the circle, that is it is the arc length of the circle. The circumference of a circle is given as:
Circumference = 2 π r. Where r is the radius of the circle.
The radius of the bigger circle = length of OB = OA + AB = 3 + 2 = 5
Circumference of the bigger circle = 2 π (5) = 10π
The radius of the smaller circle = length of OA = 3
Circumference of the smaller circle = 2 π (3) = 6π
The ratio of the circumference of the smaller circle to the circumference of the larger circle = circumference of the smaller circle / circumference of the larger circle = 6π / 10π = 3/5
expand the following (x+3)(x-3)
Answers
Answer:
x² - 9
Step-by-step explanation:
Given
(x + 3)(x - 3)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x - 3) + 3(x - 3) ← distribute both parenthesis
= x² - 3x + 3x - 9 ← collect like terms
= x² - 9
Answer:
x² - 9Step-by-step explanation:
[tex](x + 3)(x - 3)[/tex]
Multiply each term in the first parentheses by each term in the second parentheses ( FOIL )
[tex]x(x - 3) + 3(x - 3)[/tex]
Calculate the product
[tex] {x}^{2} - 3x + 3x - 3 \times 3[/tex]
Multiply the numbers
[tex] {x}^{2} - 3x + 3x - 9[/tex]
Since two opposites add up to zero, remove them from the expression
[tex] {x}^{2} - 9[/tex]
Hope this helps..
Best regards!!
hi again here's the picture
Answers
Answer:
351.88 mStep-by-step explanation:
Given,
D = diameter of semicircular part = 42 m
L = Length of straight part = 110 m
Now, let's find the perimeter:
= 2 ( length of semi-circle + length of straight part )
[tex] = 2( \frac{\pi \: d}{2} + l)[/tex]
Plug the values
[tex] = 2( \frac{3.14 \times 42}{2} + 110)[/tex]
Calculate the product
[tex] = 2( \frac{131.88}{2} + 110)[/tex]
Divide
[tex] = 2 (65.94 + 110)[/tex]
Calculate the sum
[tex] = 2 \times 175.94[/tex]
Calculate
[tex] = 351.88 \: m[/tex]
Hope this helps..
Best regards!!
Answer:
351.88 m²
Step-by-step explanation:
diameter of the semicircle=42 the radius=42/2=21
perimeter of circle=2π r=2(3.14(21))= 131.88(since you have two semi-circle,then it is a full circle)
perimeter of the rectangle: 2(110)=220( the width used to measure the perimeter of the circle)
the area of the track=131.88+220=351.88
Coffee is sold in two different sized canisters. The smaller canister has a diameter of 9 cm and a height of 12 cm. The larger canister is double the size of the small canister. Calculate the volume and surface area of each canister and compare the results of doubling the dimensions.
Answers
Answer:
volume 1 =763 cm3
volume 2 = 6,104 cm3
Second volume is 8 times greater than the first volume.
Surface area 1 = 466 cm2
surface area 2 =1,865 cm2
second surface area is 4 times greater than the first surface area .
Step-by-step explanation:
Volume of a cylinder: π radius^2 x height
Radius = diameter /2 = 9/2 = 4.5
V = 3.14 x 4.5^2 x 12 = 763 cm3
Surface area: (3.14 r^2)2 + 2(π x radius x height)
Sa = (3.14 x 4.5^2 )2 + 2(3.14 x 4.5 x 12 )=466 cm2
Since the second canister is double the size:
Radius = 4.5 x 2 = 9
Height = 12 x 2 =24
V = 3.14 x 9^2 x 24 = 6,104 cm3
Sa = (3.14 x 9^2 )2 + 2(3.14 x 9 x 24 )=1,865 cm2
Dividing the second volume by the first one:
6,104/ 763 = 8
Second volume is 8 times greater than the first volume.
Dividing the second surface area by the first one:
1865/466 = 4
second surface area is 4 times greater than the first surface area .
Given a function described as equation y = 3x + 4, what is y when x is 1, 2, and 3?
Answers
Answer:
when x=1, y=7. when x=2, y=10. when x=3, y=13
Step-by-step explanation:
x=1 into y=3(1)+4
y=3+4
y=7
x=2 into y=3(2)+4
y=6+4
y=10
x=3 into y=3(3)+4
y=9+4
y=13
Hope this helps all you do is insert the x value in for x and solve for y!! Please mark Brainliest.
Answer:
1. x = 1, y = 7
2. x = 2, y = 10
3. x = 3, y = 13
Step-by-step explanation:
1. When x is 1 in y = 3x + 4
Replace the x in 3 to 1.
Then it becomes 3(1) + 4
3 x 1= 3
3 + 4= 7
2. When x is 2 in y = 3x + 4
Replace the x in 3 to 2.
Then it becomes 3(2) + 4
3 x 2= 6
6 + 4= 10
3. When x is 3 in y = 3x + 4
Replace the x in 3 to 3.
Then it becomes 3(3) + 4
3 x 3= 9
9 + 4= 13
Latoya drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 6 hours. When Latoya drove home, there was no traffic and the trip only took 4 hours. If her average rate was 22 miles per hour faster on the trip home, how far away does Latoya live from the mountains
Answers
65.2 hours
X-y= 4
x+y=8
The x-coordinate of the solution to the system shown is
06
02.
O 12
04
Answers
Answer:
x = 6.
Step-by-step explanation:
x - y = 4
x + y = 8
2x = 12
x = 6.
6 - y = 4
-y = -2
y = 2
6 + y = 8
y = 2
Hope this helps!
The solution to the system of equations is (6, 2).
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The given system of equations are
x-y=4 ------(i)
x+y=8 ------(ii)
Subtract equation (ii) from equation (i), we get
x+y-(x-y)=8-4
x+y-x+y=4
2y=4
y=2
Substitute y=2 in equation (i), we get
x-2=4
x=6
So, the solution is (6, 2)
Therefore, the solution to the system of equations is (6, 2).
To learn more about the linear system of an equations visit:
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Wesimann Co. Issued 13-year bonds a year ago at a coupon rate of 7.3 percent. The bonds make semiannual payments and have a par value of $1,000. If the YTM on these bonds is 5.6 percent, what is the current bond price?
Answers
Answer:
Current Bond price = $1155.5116
Step-by-step explanation:
We are given;
Face value; F = $1,000
Coupon payment;C = (7.3% x 1,000)/2 = 36.5 (divided by 2 because of semi annual payments)
Yield to maturity(YTM); r = 5.6%/2 = 2.8% = 0.028 (divided by 2 because of semi annual payments)
Time period;n = 13 x 2 = 26 years (multiplied by 2 because of semi annual payments)
Formula for bond price is;
Bond price = [C × [((1 + r)ⁿ - 1)/(r(r + 1)ⁿ)] + [F/(1 + r)ⁿ]
Plugging in the relevant values, we have;
Bond price = [36.5 × [((1 + 0.028)^(26) - 1)/(0.028(0.028 + 1)^(26))] + [1000/(1 + 0.028)^(26)]
Bond price = (36.5 × 18.2954) + (487.7295)
Bond price = $1155.5116