Answer:
The distance from Disney to the Golden Gate Bridge is 2,162.56 miles
The distance from Mall of America to The Golden Gate Bridge is 1,320 miles
The interior angle at The Golden Gate Bridge is 35°
The interior angle at Mall of America is 110°
The interior angle at Disney is 35°
The direction from Mall of America to Disney is South 30° East
Step-by-step explanation:
The bearing from Disney to the Golden Gate Bridge = North 65° West
The bearing from the Golden Gate Bridge to the Mall of America = North 80° East
The bearing from Disney to the Mall of America = North 30° West
The distance from Disney to the Mall of America = 1,320 miles
Let 'A', 'B', and 'C' represent the interior angles at Disney, The Golden Gate bridge and Mall of America respectively
From the drawing of the triangular trip, we find that the interior angle at C = The sum angles complementary to the bearings at B and at C
Therefore, the interior angle at C = (90° - 65°) + (90° - 80°) = 35°
The interior angle at B = The bearing of C from B - The bearing of A from B
∴ The interior angle at B = 65° - 30° = 35°
B = 35°
∠C = 35° and ∠B = 35°, therefore, the triangle is an isosceles triangle
The interior angle at A = 180° - (∠B + ∠A) = 180° - (35° + 35°) =110°
CA = AB = 1.320
By sine rule, a = sin(110) × 1320/sin(35) ≈ 2,162.56 miles
a = CB = 2,162.56 miles
Therefore, we have;
The distance from Disney to the Golden Gate Bridge = 2,162.56 miles
The distance from Mall of America to The Golden Gate Bridge = 1,320 miles
The interior angle at The Golden Gate Bridge = 35°
The interior angle at Mall of America = 110°
The interior angle at Disney = 35°
The magnitude of the bearing of Mall of America to Disney = The magnitude of the alternate angle to the bearing of Disney to Mall of America = 30°
∴ The direction from Mall of America to Disney = South 30° East
which point on the number line represents --3/4
Answer:
D
Step-by-step explanation:
Because it is 3 tics closer to 1. which would be 3/4 of 1
Find the area of the shape shown below.
Answer:
55 units²
Step-by-step explanation:
square = 25
triangle = 30
both = 55
Find the area of the figure round to the nearest tenth
Answer:
180 m
Step-by-step explanation:
What is the surface area of the rectangular pyramid
Answer:
88.8 cm square
Step-by-step explanation:
PLEASE HELP ASAP PLEASE
Answer:
-5.5
Step-by-step explanation:
-10, -9, -8, -8, -6, -5, -1, 1, 7, 6
Kenneth started saving for retirement at age 40 with plans to retire at age 70. He invested an average of $400 per month in various securities, with an average annual return of 7% adjusted for inflation. Assuming monthly compounding, how much has Kenneth saved at the start of retirement.
A. $487,988.40
B. $720,421.84
C. $37,784.31
D. $556,559.8
Answer:
487,988.40
Step-by-step explanation:
I took the test
George scored 70, 92, 70, 90, and 95 on five physics tests. The mean, median, and mode of his scores are given below. Mean = 83.4 median = 90 mode = 70 Which value best describes George's scores? Explain.
Answer:
mean; the average of George's scores is the mean = 83.4
Step-by-step explanation:
The value that best describes George's scores is the mean that has a value of 83.4.
What is the mean?
Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number. The mean makes use of all the data in the data set.
Mean = sum of the numbers / total number
(70+ 92 + 70 + 90 + 95) / 5 = 83.4.
To learn more about mean, please check: https://brainly.com/question/25842202
Find the value of x.
Answer:
16
Step-by-step explanation:
2x8
Audria rode her bicycle for 2 hours. She drove a total of 21 miles. At this rate, how many miles will she bike in 1/2 hours?
A. 6 1/2
B. 6 3/4
C. 5 3/4
D. 5 1/4
Answer:
D
Step-by-step explanation:
21/2 = 10.5
10.5 x .5 = 5.25 = 5 1/4
The answer is D.
Lorenzo reads at a rate of 45 words per minute. If he reads at a constant rate, how many words can he read in 6 minutes?
Answer:
270
Step-by-step explanation:
45 * 6 = 270
Find the measure of the angle indicated
72⁰
HOPE IT HELPS YOU THANK YOU ☺
Answer:
37 degree
Step-by-step explanation:
RQS is suspened by arcRS
RQS=1/2(RS)
RQS=1/2(74)
RQS=37
If a farmer sells 9.8 KL of apples and pears at the farmers market. 4/5 of this weight is apples,and the rest are pears. How many kl of pears did they sell the farmers market
Answer:
1.96
Step-by-step explanation:
A farmer sells 9.8 kl of apples and pears
4/5 of this weight is apples, while the rest are pears
Therefore the wight of pears can be calculated as follows
Let x represent the weight of pears
9.8= 4/5×9.8 + x
9.8= 0.8×9.8+x
9.8= 7.84+x
9.8-7.84= x
x= 1.96
Kimberly wants to enlarge hut 5‘ x 10‘ rectangular patio by multiplying its dimensions by two how old the area of the patio be affected
Answer:
1/4 the new area
Step-by-step explanation:
Kimberly wants to enlarge hut 5‘ x 10‘ rectangular patio by multiplying its dimensions by two how old the area of the patio be affected
Given that:
Initial dimension of patio = 5' by 10'
Initial area of patio = Area of rectangle = Length * width
Area of patio = 5 * 10 = 50 in²
If dimension is multiplied by 2
New dimension :
5* 2 by 10*2 = 10' by 20'
New area of patio :
10 * 20 = 200 in²
50 /200 = 1/4
The old area will be 1/4 the size of the new area of the patio
HELP ILL GIVE U THE BRAINLIEST
Answer:
(0, 3 )
Step-by-step explanation:
To find the y- intercept , substitute x = 0 into f(x), that is
f(0) = 3 × [tex]4^{0}[/tex] [ note [tex]4^{0}[/tex] = 1 ]
= 3 × 1
= 3
y- intercept = (0, 3 )
When the product of 6 and the square of a number is increased by 5 times the number, the result is 4. Select all of the values that the number could be.
Answer:
(1/2,0) is one solution
(-4/3,0) is the other solution.
Step-by-step explanation:
i hope this helps you it might not be right
HLEP PLEASE PUT THEM IN THE CORRECT ORDER TRUE OR FALSE
Answer:
1. False
2. True
3. True
Step-by-step explanation:
A line that includes the point (2,7) has a slope of
–
8. What is its equation in point-slope form?
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
Answer:
y - 7 = -8(x-2)
Step-by-step explanation:
The point slope form is: y-y1=m(x-x1)
From the information that was given, we know our two points: (2,7)
From here, we can fill in some of the missing information: y-y1=m(x-x1) → y - 7 = m(x-2)
Now I can't tell if you wrote down -8 or just 8, but just in case my answer isn't the right number.
The answer would either be: y - 7 = -8(x-2) [if you wrote down -8 as the slope]
OR
The answer would be: y - 7 = 8(x-2) [if you wrote down 8 as the slope]
Solve for angle B, then side a. Round to the nearest tenth.
Answer:
Angle B: 28 degrees
Side a: 27.6
Step-by-step explanation:
Angle B:
180-112-40=28
Side a:
sin 28/14 = sin 112/a
a = sin 112(14)/sin 28
a = 27.6
Point B has coordinates (4,1). The x-coordinate of point A is -4. The distance between point A and point B is 10 units. What are the possible coordinates of point A?
Given:
Point B has coordinates (4,1).
The x-coordinate of point A is -4.
The distance between point A and point B is 10 units.
To find:
The possible coordinates of point A.
Solution:
Let the y-coordinate of point A be y. Then the two points are A(-4,y) and B(4,1).
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The distance between point A and point B is 10 units.
[tex]\sqrt{(4-(-4))^2+(1-y)^2}=10[/tex]
Taking square on both sides, we get
[tex](8)^2+(1-y)^2=100[/tex]
[tex](1-y)^2=100-64[/tex]
[tex](1-y)^2=36[/tex]
Taking square root on both sides, we get
[tex](1-y)=\pm \sqrt{36}[/tex]
[tex]-y=\pm 6-1[/tex]
[tex]y=1\mp 6[/tex]
[tex]y=1-6[/tex] and [tex]y=1+6[/tex]
[tex]y=-5[/tex] and [tex]y=7[/tex]
Therefore, the possible coordinates of point A are either (-4,-5) or (-4,7).
what is the answer please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
22/75
Step-by-step explanation:
To find the average add up the values and divide the sum by the number of values.
Rewriting all values as fractions, rewriting any negatives if necessary and, setting up as an addition problem
=1/2+1/5+1/5+1/10+7/15
The least common denominator (LCD) is: 30.
Rewriting as equivalent fractions with the LCD:
=15/30+6/30+6/30+3/30+14/30
Rewriting numerators over the common denominator,
=15+6+6+3+1430
Totaling the numerator:
=44/30
Reducing the fraction:
=22/15
Dividing by the number of values: 5
22/15÷5=22/15×15=22/75
Average of the fractions is:
Average=22/75
How much water will a cone hold that has a diameter of 6 inches and height of 21 inches. Use 3.15 pie and round your answer to the nearest whole number
Answer:
volume = 595 in³
Step-by-step explanation:
radius = 6/2 = 3
volume = 3.15(3²)(21) = 595.35 in³
Use the distance formula to find the distance between each pair of points. round to the nearest tenth of neccessary.
Answer:
1). 4.2 2). 7.65 3). 14.14
Step-by-step explanation:
1). √(y2 - y1)² + (x2 - x1)²
√[-1 - (-4)]² + [-3 - (-6)]²
√(3)² + (3)²
√9 + 9
√18
= 4.2
2). √(2.5 - 1)² + ( -4 - 3.5)²
√(1.5)² + (-7.5)²
√(2.25) + (56.25)
√58.5
= 7.65
3).√(5 - (-5)² + (-5-5)²
√(10)² + (-10)²
√(100) + (100)
√200
= 14.14
Find the volume of the cylinder.
Either enter an exact answer in terms of T or use 3.14 for T.
8
Answer: V= 100.48 m^3 or in terms of Pi V = 32 π m^3
Step-by-step explanation:
V = πr^2h
V = π(2)^2(8)
V = π(4)(8)
V = 100.48
or
V = π (4)(8)
V = 32 π m^3
For a school fundraiser, Percy bought a big box of rubber ducks and wrote prize amounts, in dollars, on the bottom of each rubber duck. The prize amounts were $5, $10, $20, $50, and $100. The number of ducks with each prize amount varied so that the total value for all the ducks with each prize amount was always $500.
Percy then put all the rubber ducks in his school’s swimming pool. At the fundraiser, participants used a long net to catch a duck from the pool. They won the amount written on the bottom of the rubber duck, and then they threw the duck back into the pool before the next person’s turn. Since the ducks were returned to the pool after they were caught, the chances of winning any particular amount remained the same.
Amir paid $15 to play the game once. If we assume he randomly selected a du
Answer:
i dont know
Step-by-step explanation:
A number x is rounded to 1 decimal place and its 3.7
write down the error interval for x
The error interval for x would be (3.65, 3.75), indicating that the true value of x lies within this range.
Given that a number x is rounded to 1 decimal place and its 3.7.
We need to find the error of the interval for x,
To determine the error interval for the rounded number 3.7, we need to consider the possible range of values that could have been rounded to 3.7 when rounded to 1 decimal place.
When rounding to 1 decimal place, we look at the digit immediately to the right of the decimal point. If this digit is 5 or greater, we round up. If it is less than 5, we round down.
In this case, 3.7 is the rounded value, which means the original number could have been rounded up from a value greater than or equal to 3.65 or rounded down from a value less than 3.75.
Therefore, the error interval for x would be (3.65, 3.75).
Learn more about error interval click;
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PLZ HELPPP MEEEE
Combine the radicals
Answer:
C) [tex]17\sqrt{13}[/tex]
Step-by-step explanation:
[tex]-2\sqrt{13} +19\sqrt{13} \\\\17\sqrt{13}[/tex]
Chirs bought 10.4 gallons of gasoline. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the number of liters of gasoline Chirs bought?
Answer:
39.52
Step-by-step explanation:
just multiply 3.8 by 104 and thats how many liters
He determined that the value of 6 in 76,345 is 100 times the value of 6 in 34,675. Part A: Is Lucas right? Part B: Explain why Lucas is right or wrong.
Answer:
Lucas is not right.
Step-by-step explanation:
To find: whether the value of 6 in 76,345 is equal to 100 times the value of 6 in 34,675
Solution:
Value of 6 in 76,345 = 6,000
Value of 6 in 34,675 = 600
Now 6000 = 10 × 600
So,
Value of 6 in 76,345 is equal to 10 times the value of 6 in 34,675.
Therefore, Lucas is not right.
Answer:
Part A: Lucas is wrong.
Part B: The value of 6 in 76,345 is 6,000 and the value of 6 in 34,675 is 600.
Part C: The value of 6 in 76,345 is equal to 10 times the value of 6 in 34,675.
10 × 600 = 6,000
Step-by-step explanation:
I put this on each of my answers and I got all three parts correct. Hope this helps you!!!!
Please mark my answer as the Brainiest!!!!!
Thank You!!!!!!!!
Please give me the answer please
Answer:360
Step-by-step explanation:
Answer:
area =
[tex] \frac{1}{2} \times (10 + 6) \times 6 [/tex]
=
[tex]3 \times 16[/tex]
=
[tex]48 \: ft {}^{2} [/tex]
Could you guys help me please?
Answer:
1: 115
2: 65
3: 115
4: 65
5: 143
6: 37
7: 28
8: 152