Step-by-step explanation:
so, this sounds like the blimp is located between the stadium and the planetarium.
we have a triangle :
the ground distance between the stadium and the planetarium is the baseline.
and the 2 lines of sight from the blimp on one side to the stadium and on the other side to the planetarium are the 2 legs.
we know the height of this triangle is 600 ft.
the angle of depression down to the stadium is 37°. which makes the inner triangle angle at the ground point at the stadium also 37°.
and the angle of depression down to the planetarium is 29°. which makes the inner triangle angle at the ground point at the planetarium also 29°.
and because the sum of all angles in a triangle is always 180°, we know the angle at the blimp is
180 - 37 - 29 = 114°
in order to solve this triangle, we need to split it into 2 right-angled triangles by using the height of the main triangle as delimiter.
we get a stadium side and a planetarium side triangle.
the baselines (Hypotenuses) of the 2 triangles are the corresponding lines of sight from the blimp.
the height of the large triangle is also a height and a leg in each small triangle.
and the stadium side part of the large baseline (between ground point and intersection with the height) is the second leg for the stadium side triangle.
and correspondingly, the planetarium side part of the large baseline (between ground point and intersection with the height) is the second leg for the planetarium side triangle.
the inner blimp angle of the stadium side triangle is
180 - 37 - 90 = 53°
and the inner blimp angle of the planetarium side triangle is
180 - 29 - 90 = 61°
now we can use the law of sine to get the lengths of the 2 parts of the baseline of the large triangle.
and when we add these 2 numbers we get the distance between stadium and planetarium.
law of sine is
a/sin(A) = b/sin(B) = c/sin(C)
with the sides being opposite of the associated angles.
for the stadium side triangle we get
part1/sin(53) = 600/sin(37)
part1 = 600×sin(53)/sin(37) = 796.226893... ft
for the planetarium side triangle we get
part2/sin(61) = 600/sin(29)
part2 = 600×sin(61)/sin(29) = 1,082.428653... ft
the distance between the stadium and the planetarium is
part1 + part2 = 1,878.655546... ft
Which of the following statements is true of all rotations?
Answer:
21.25 m/s
Explanation:
AVERAGE SPEED=
= \frac{s1 t1+ s2t2 + s3t3}{t1 + t2 + t3}=
t1+t2+t3
s1t1+s2t2+s3t3
= \frac{20 \times 10 + 30 \times 5 + 15 \times 5}{10 + 5 + 5}=
10+5+5
20×10+30×5+15×5
= \frac{200 + 150 + 75}{20}=
20
200+150+75
= \frac{425}{20}=
20
425
= 21.25 ms=21.25ms
6. Use the following matrices to answer the questions. (2 points each)
5 -8
2 -6
-8
-2 3
A
외
B =
[4
18] c- [5 5] -
C=
9 1
03
9
1
a. Is the operation E + C possible? Circle YES or NO
If yes, state the dimensions of the answer:
b. Is the operation B + C possible? Circle YES or NO
If yes, state the dimensions of the answer:
c. Is the operation E. D possible? Circle YES or NO
If yes, state the dimensions of the answer:
d. Is the operation D E possible? Circle YES or NO
If yes, state the dimensions of the answer:
e. Is the operation A D possible? Circle YES or NO
If yes, state the dimensions of the answer:
1
-1 10
E
11
7 -1 0
Answer:
its a such a hard questions i think you should ask to you're teacher ?
At a cake stall , muffins cost $2 each & cookies cost $1 each. The cake stall earned $146. If 2 more cookies than muffins were sold, how many muffins were sold?
Answer:
48 muffins were sold
Step-by-step explanation:
Represent the number of muffins by m and the number of cookies by c.
Then the revenue from the sales of muffins was ($2/muffin)m and that from the sales of cookies ($1/cookie)c. Remembering that c = m + 2, we obtain the following equation:
($2/muffin)m + ($1/cookie)(m + 2) = $146, so that:
2m + 1m + 2 = 146, or 3m + 2 = 146, or 3m = 144.
Dividing both sides of this result by 3, we get m = 48
Thus, 48 muffins were sold.
6. Dana measured the height of her
bedroom wall to be 3 yards tall. Which of
these is closest to the equivalent
measurement?
Answer:
9 feet, 108 inches, 274.32 cm, 2.7432 meters
Step-by-step explanation:
Not enough information is given to answer.
You didn't provide the list of "these" to choose from, but I can just list some potential answers I could see being an option.
3 yards = 9 feet [1 yard = 3 feet. 3 yards = 9 feet]
9 feet is also 108 inches [1 foot = 12 inches. 9 feet = 108 inches]
3 yards = 108 inches
{There are 91.44 cm in a yard} (1 yard = 91.44 cm. 3 yards = 274.32 cm),
3 yards = 274.32 cm
3 yards = 2.7432 meters (1 yard = 0.9144 meters; 3 yards = 2.7432 meters)
a body starts from rest and moves with uniform acceleration of 4m/s² until it travels a distance of 800m,find the velocity
Answer:
80 m/s
Explanation:
Given:
i) initial velocity (as starts from rest) = 0 m/s
ii) acceleration: 4 m/s²
iii) distance travelled: 800 m
Formula required:
(final velocity)² - (initial velocity)² = 2 × acceleration × distance
Now solve:
v² - 0² = 2 × 4 × 800
v² = 6400
v = √6400
v = 80 m/s
What are the coordinates of the point on the directed line segment from (−1,−6) to (8,-3) that partitions the segment into a ratio of 1 to 2?
The coordinates of the point on the directed line segment is (5,-4)
What is a line segment?A line segment is a line drawn to join two given points on the cartesian plane.
Analysis:
x coordinate = MX1 + NY1/M + N
y coordinate = MY1 + NY1/ M+N
where M and N are the ratio of division
x = 1(-1) + 2(8)/1+2 = 15/3 = 5
y = 1(-6) + 2(-3)/1+2 = -12/3 = -4
(5,-4)
In conclusion, the coordinates are (5,-4)
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An insulator is installing fiberglass insulation in exterior walls that total up to 1,623 square feet after windows and doors are deducted. Each roll can insulate 49 square feet. There are 28 rolls on hand. Will this amount be sufficient? If not, how many total rolls are needed? If necessary, round your answer up to the nearest whole number, since you cannot buy part of a roll of insulation.
Answer:
2
Step-by-step explanation:
the perpendicular distance of a point from the x-axis is 4 units and the perpendicular distance from the y axis is 5 units write the coordinates of such a point if it lies in the first quadrant second quadrant third quadrant and fourth quadrant
Step-by-step explanation:
let p be the point which is at a distance of 4 units from the x-axis and at a distance of 5 units from the y axis
(i) When P lies in the first quadrant then the coordinates of P are (5,4).
(ii) When of P lies in the second quadrant then the coordinates of P are (-5,4).
(iii) When P lies in the third quadrant then the coordinates of P are (-5,-4).
(iv) When P lies in the fourth quadrant then the coordinates of P are (5,-4).
Hope it helps you!!Known as periodic reports, interim reports or interim statements, these updates provide important company information between annual reporting periods. To help protect investors and keep the public informed, regulations typically require public companies to submit company performance reports more than once a year.Known as periodic reports, interim reports or interim statements, these updates provide important company information between annual reporting periods. To help protect investors and keep the public informed, regulations typically require public companies to submit company performance reports more than once a year.
please help i need the answer ASAP
Answer:
I believe what you would have to do is add each number so the top left box would be two and the bottom right would be 11
Step-by-step explanation:
Which smallest number is subtracted from the number 12675 to make it a perfect square?
John Pelson's weekly net pay is $972.11. His weekly deductions are $185.00 for FIT; 5% of gross for SIT; 2% of gross for CIT; Social Security and Medicare; $64.00 for health insurance; and $25.00 for charity? Find the weekly gross pay
Based on the calculations below, the weekly gross pay of John Pelson is $1,339.90.
How to calculate gross pay?Let G represents weekly gross pay. The gross pay can now be calculated as follows:
Net pay = G – FIT – SIT – CIT - Health insurance – Charity ……………….. (1)
Substitute all the relevant values into the equation (1) and solve as follows:
$972.11 = G – $185.00 – 0.05G – 0.02G – $64.00 – $25.00
$972.11 + $185.00 + $64.00 + $25.00 = G – 0.05G – 0.02G
$1,246.11 = (1 – 0.05 – 0.02)G
$1,246.11 = 0.93G
G = $1,246.11 / 0.93
G = $1,339.90
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PLEASE ILL GIVE 25 POINTS ANS MARK BRAINIEST IF SOMEONE GIVES ME THE RIGHT ANSWER PLEASE PLEASE PLWASE
Answer:
Circumference: 25.12m
Area: 50.24 [tex]m^{2}[/tex]
Step-by-step explanation:
Formula for circumference of a circle: C=[tex]\pi d[/tex] or C=[tex]2\pi r[/tex] since the diameter is double the radius
C=3.14*2*4=3.14*8=25.12
Formula for area of a circle: A=[tex]\pi r^{2}[/tex]
A=3.14*[tex]4^{2}[/tex]=3.14*4*4=3.14*16=50.24
what is the mean of 12342634
Answer:
Mean = 3.125 ≈ 3.13
Step-by-step explanation:
Mean = Sum of numbers = 1 + 2 + 3 + 4 + 2 + 6 + 3 + 4 = 25 = 3.125≈3.13
Amount of number 8 8
If-5x + 4y = -3 is a true equation, what would be the value of
-6(-5x+4y)?
Answer:
Step-by-step explanation:
-5x+4y=-3
-6(-5x+4y)=-6×(-3)=18
Which of the following statements must be true about parallelogram ABCD?
Options are below
Answer: [tex]\angle A+\angle D=180^{\circ}[/tex]
Step-by-step explanation:
Adjacent angles of a parallelogram are always supplementary.
find the radius of a circle whose arc length is 55 m and its central angle measure if 5 radians
Answer:
Step-by-step explanation:
To solve this question, we can use the formula [tex]S=\theta r[/tex], where [tex]S[/tex] is the arc length, [tex]\theta[/tex] is the central angle of the sector in radians, and [tex]r[/tex] is the radius.
In this situation, we know that [tex]S=55[/tex] and [tex]\theta=5[/tex]
This means that [tex]55=5r \longrightarrow \boxed{r=11}[/tex]
What is the sum?
3
5
X+3
6-zX
Simplify the following: 9 – 2(x - 5) = x + 10
Answer:
x = 3
Step-by-step explanation:
Hello!
We can distribute the parenthesis and solve for x.
Solve9 - 2(x - 5) = x + 109 - 2x + 10 = x + 1019 - 10 = 3x9 = 3xx = 3The value of x is 3.
We can plug it back in to check if it works.
Check9 - 2(x - 5) = x + 109 - 2(3 - 5) = 3 + 109 - 2(-2) = 3 + 109 + 4 = 3 + 1013 = 13Correct!
Answer:
[tex]\huge\boxed{\sf x = 3}[/tex]
Step-by-step explanation:
Given equation:9 - 2(x - 5) = x + 10
Distribute
9 - 2x + 10 = x + 10
Subtract 10 to both sides
9 - 2x = x
Add 2x to both sides
9 = x + 2x
9 = 3x
Divide 3 to both sides
9/3 = 3x/3
3 = x
OR
x = 3[tex]\rule[225]{225}{2}[/tex]
A frustum is formed when a plane parallel to a cone’s base cuts off the upper portion as shown.
A cone is shown. The top of the cone is cut off to form a frustum of the bottom portion. The cone has a radius of 3.5 and a height of 8. The frustum has a height of 11 and a radius of 7.5.
Which expression represents the volume, in cubic units, of the frustum?
One-thirdπ(7.52)(11) – One-thirdπ(3.52)(8)
One-thirdπ(7.52)(11) + One-thirdπ(3.52)(8)
One-thirdπ(7.52)(19) – One-thirdπ(3.52)(8)
One-thirdπ(7.52)(19) + One-thirdπ(3.52)(8)
A class sold tickets to their school play. Each of the 232323 students in the class sold 444 tickets. The cost of each ticket was \$7$7dollar sign, 7.
How much money did the class earn by selling tickets to the play?
\$
Answer:
the class earned $722059884
Step-by-step explanation:
because each person sold 444 tickets and there was 232323 students
=232323×444
=103151412
because 103151412 tickets were sold and a ticket cost $7
=103151412×7
=722059884
Evaluate the limit. lim x → 0 4ex/2 − 4 − 2x − 1 2 x2 x3
The limit of the given expression lim x → 0 [4eˣ/2 − 4 − 2x − 12x² + x³] is determined as -2.
Limit of the function
The limit of the given expression is calculated as follows;
lim x → 0 [4eˣ/2 − 4 − 2x − 12x² + x³]
= (4e⁰)/2 - 4 - 2(0) - 12(0) + (0)
= (4)/2 - 4
= 2 - 4
= - 2
Thus, the limit of the given expression lim x → 0 [4eˣ/2 − 4 − 2x − 12x² + x³] is determined as -2.
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An intravenous solution needs 2 liters (L) of glucose to be mixed with 7 units of blood. How much glucose (in liters) is needed for 30 units of blood
8.57 liters glucose (in liters) is needed for 30 units of blood.
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
For 7 units of blood = 2 l of glucose needed.
Foe 1 units of blood, glucose needed = 2/7
For, 30 units of blood , glucose needed = 8.57 liters
Hence, 8.57 liters glucose (in liters) is needed for 30 units of blood.
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If a multiple-choice test consists of 5 questions, each with 4 possible answers of which only 1 is correct, (a) in how many different ways can a student check off one answer to each question?
(b) in how many ways can a student check off one answer to each question and get all the answers wrong?
Answer:
(a) 1024 ways
(b) 243 ways
Step-by-step explanation:
When answers are independent, the total number of ways all questions can be answered is the product of the number of ways each question can be answered.
__
(a)The first question can have one answer 4 ways. The second question can be answered 4 ways for each of the ways the first question was answered. That is, the two questions can be answered 4×4 = 16 ways. Similarly, each additional question multiplies the number of ways the questions can be answered by 4.
The 5 questions can be answered 4×4×4×4×4 = 4^5 = 1024 ways.
__
(b)There are 3 ways to answer the first question incorrectly. Each additional question can be answered incorrectly 3 ways for each of the ways previous questions were answered. The total number of ways all questions can be answered incorrectly is ...
3^5 = 243
A student can answer all questions wrong in 243 different ways.
What is the equation of the line that passes through the point (6, 1) and has a slope
of -1/2
Answer:
y = 6x + [tex]\frac{-1}{2}[/tex]
Step-by-step explanation:
I think take this with a grain of salt
Using the diagram of a regular hexagon, fill in the blanks for the steps to solve for the area of a hexagon with sides equal to 14 cm.
(1) How many equilateral triangles are there? _____
(2) What is the measure of each of the three angles in the equilateral triangle? _____
(3) If we cut an equilateral triangle down the middle (segment a), what special right triangle do you create? _____
(4) What is the vocabulary word for the segment a? _____
(5) What is the length of the short side of one of the 30-60-90 triangles? _____
(6) What is the length of the hypotenuse of one of the 30-60-90 triangles? _____
(7) Using the properties of 30-60-90 triangles, calculate the length of the long leg of one of the 30-60-90 triangles. _____
(8) What is the height of one of the the equilateral triangles? _____
(9) Apply the formula for the area of a triangle to find the area of one equilateral triangle. _____
(10) Calculate the area of the complete hexagon by multiplying the area of one equilateral triangle by the number of triangles. _____
Find answers to the questions in the attached file.
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If √ 24 + √ 96 7 √600 = y√ 6, find the value of y. -
The table shows information about the meals
ordered at a restaurant.
Meal ordered
Frequency
Sandwich
11
Curry
12
Salad
7
If this information was shown on a pie chart,
how many degrees should the central angle of
the section that represents curry be?
Answer:
144°
Step-by-step explanation:
The central angle of a sector in a pie chart is proportional to the fraction the represented data is of the whole.
__
fractionThe total number of meals ordered at the restaurant was ...
11 +12 +7 = 30
The fraction of those that were Curry was ...
12/30 = 2/5
angleThen the central angle of the sector representing Curry will be 2/5 of the circle, or ...
2/5 × 360° = 144°
The central angle of the section representing Curry will be 144°.
belle walks 7/10 mile each morning, and 1, 4/10 miles each evening.
how many miles does she walk in 5 days
Answer:
10.5 miles.
Step-by-step explanation:
If she walks 7/10 of a mile each morning, and 1, 4/10 of a mile each day, Belle walks a total of 2 1/10 of a mile each day (2.1) miles each day)
We can just multiply the amount of miles per day by 5, (2.1 x 5) and we get 10.5 miles total.
Answer:
10 1/2
Step-by-step explanation:
divide 7/10 which is 0.7 then multiply that by 5 which is 3.5
then divide 4/10 which is 0.4 then multiply that by 5 which is 2, but add 5 which is 7.
then combine all of that together which is 3.5+7= 10.5
then convert that into a fraction which is 10 1/2
Find the indefinite integral using the substitution provided.
[tex]\int\limits({\frac{14e^2^x}{e^2^x+10}) } \, dx[/tex]
[tex]u=e^2^x+10[/tex]
Answer: [tex]7\text{Ln}\left(e^{2x}+10\right)+C[/tex]
This is the same as writing 7*Ln( e^(2x) + 10) + C
=======================================================
Explanation:
Start with the equation [tex]u = e^{2x}+10[/tex]
Apply the derivative and multiply both sides by 7 like so
[tex]u = e^{2x}+10\\\\\frac{du}{dx} = 2e^{2x}\\\\7\frac{du}{dx} = 7*2e^{2x}\\\\7\frac{du}{dx} = 14e^{2x}\\\\7du = 14e^{2x}dx\\\\[/tex]
The "multiply both sides by 7" operation was done to turn the 2e^(2x) into 14e^(2x)
This way we can do the following substitutions:
[tex]\displaystyle \int \frac{14e^{2x}}{e^{2x}+10}dx\\\\\\\displaystyle \int \frac{1}{e^{2x}+10}14e^{2x}dx\\\\\\\displaystyle \int \frac{1}{u}7du\\\\\\\displaystyle 7\int \frac{1}{u}du\\\\\\[/tex]
Integrating leads to
[tex]\displaystyle 7\int \frac{1}{u}du\\\\\\7\text{Ln}\left(u\right)+C\\\\\\7\text{Ln}\left(e^{2x}+10\right)+C\\\\\\[/tex]
Be sure to replace 'u' with e^(2x)+10 since it's likely your teacher wants a function in terms of x. Also, do not forget to have the plus C at the end. This is a common mistake many students forget to do.
To verify the answer, you can apply the derivative to it and you should get back to the original integrand of [tex]\frac{14e^{2x}}{e^{2x}+10}[/tex]
a running relay team ran a 400 meter race in a record-setting time of 36 seconds.what was their average speed to the nearest tenth of a meter per second?
Answer:
406858reuyy igcbjiy469633