The balloon’s vertical distance above the ground is 721.7 f
Angle of elevation and depressionIn order to determine the balloon's vertical distance, we will use the SOH CAH TOA identity
Given the following parameters
Angle of depression = 30 degrees
Horizontal distance =1250 feet
Required
vertical distance H
Using the SOH CAH TOA identity
tan 30 = H/1250
H = 1250tan30
H = 721.7 feet
Hence the balloon’s vertical distance above the ground is 721.7 feet
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Answer:
721.7
Step-by-step explanation:
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A soup can lid has a diameter of 8 cm and it is 15 cm tall. what is the area of the lid?
Answer:
50.27
Step-by-step explanation:
area for a circle is (pie)r^2
r^2=16
16xpie=50.27
ANSWER ASAP PLEASE! 14 POINTS
Answer:
the first one
Step-by-step explanation:
the formul is y=mx+b
m is slope which is -3/2
b is y intercept and it is -3
and the addition sign will change based on if the y intercept is negative or not
Hope this helps
The sum of 3 times a number and 7 is equal to 5. (translate into an equation)
Answer:
let n be the number then the sum of this number and 7 is n +7 and 3 times this sum is 3(n +7) 5 times the number less thirteen is 5n − 13
Step-by-step explanation:
Solve for h.
6h= 7h + 5
H= ?
Answer:
h = -5
Step-by-step explanation:
1) Subtract 7th from both sides
6h = 7h + 5
6h - 7h= 7h + 5 - 7h
2) Simplify
- Combine like terms
6h - 7h = 7h + 5 - 7h
-h = 7h + 5 - 7h
- Combine like terms
-h = 7h + 5 - 7h
-h = 5
3) Divide both sides by the same factor
-h = 5
-h/-1 = 5/-1
4) Simplify
Cancel terms that are in both the numerator and denominator
h/-1 = 5/-1
h = 5/-1
Divide the numbers
h = 5/-1
h = -5
Answer:
The answer is H=-5
Step-by-step explanation:
Can someone please help me!!
Multiplication is the process of multiplying. Jay lost 30 pounds in a period of 6 months.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
A.) The newly recorded temperature in January will be six times the temperature in February, therefore, we can write,
January = 6 × February = 6×(-3°F) = -18°F
Hence, the newly recorded temperature in January will be equal to -18°F.
B.) Change in water level on each day of the drought was equal to -4 inches, while the drought lasted for 1 week(7days), Thus, the net change in water level can be written as,
net change = 7 × -4 = -28inches
Hence, the net change in the water level during the drought was equal to -28 inches.
C.) Jay went on a diet for six months and lost 5 pounds each month, therefore, the net change in the weight will be equal to,
Net Change = 6 × 5 = 30 pounds
Hence, Jay lost 30 pounds in a period of 6 months.
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In the following diagram, BC is parallel to DE.
What is the measure of Zx?
Angles are not necessarily drawn to scale.
W
103°
B
D
4x =
F
42°
H
E
Answer: 35
Step-by-step explanation:
Angles in a triangle add to 180 degrees, so in triangle ABC, [tex]m\angle C=180-103-42=35^{\circ}[/tex].
Sp, by the corresponding angles theorem, x=35
The function f(x) = 5x - 4 is changed to f(x) = 5x + 3. What is the result?
Answer: move up or add 7 in positive direction
A coin is tossed 3 times. what is the probability of getting:
Answer correctly please
The probability of all heads, all tails, exactly two tails, exactly one head will be 1/8, 1/8, 3/8, and 3/8 respectively.
The complete question is given below.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
Then the total number of the event will be
Total event = 2³
Total event = 8 {HHH, HHT, HTH, THH, HTT, THT, HHT, TTT}
Then the probability of all heads will be
⇒ 1/8
Then the probability of all tails will be
⇒ 1/8
Then the probability of exactly two tails will be
⇒ 3/8
Then the probability of exactly one head will be
⇒ 3/8
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Are any of the sides perpendicular? Is the triangle a right triangle? Yes, AB and Bc are perpendicular
Which of the following is not a triangle congruence theorem?
AAA
AAS
ASA
Answer:
A. (AAA)
Step-by-step explanation:
.....(AAA) "does not work because it can produce similar but not congruent triangles"
.....(AAS) "If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent."
.....(ASA)"triangles are congruent if any two angles and their included side are equal in the triangles."
Hope This Helped
2. Given 4x² + bx + 25, select a possible b value that will make this factorable. [A] b=-50 [B] b = -29 [C] b = 10 [D] b= 100
Answer:
b = 40 and -40
General form of Perfect square trinomial is
a
2
+
2
a
b
+
b
2
Therefore from
16
x
2
−
b
x
+
25
a
2
=
√
16
x
2
,
b
2
=
25
, then
a
=
±
4
x
,
b
=
±
5
take consideration a=4x and b=-5 (different sign), then
−
b
x
=
2
(
4
x
)
(
−
5
)
−
b
x
=
−
40
x
b
=
40
The perfect square is
(
4
x
−
5
)
2
=
16
x
2
−
40
x
+
25
.
if we consider a=4x and b=5 (same sign), then
−
b
x
=
2
(
4
x
)
(
5
)
−
b
x
=
40
x
b
=
−
40
The perfect square is
(
4
x
+
5
)
2
=
16
x
2
+
40
x
+
25
.
The first solution
(
4
x
−
5
)
2
is the best solution after comparing the expression given.
The population of a town is growing exponentially and can be modeled by the
equation f(t) = 42. e(0.015). The population is measured in thousands, and time is
measured in years 1950.
C. According to this model approximately what is the population in 1960?
The population of the town in 1960 is 48.80 thousands
How to determine the population in 1950?The equation of the model is given as:
f(t) = 42e^(0.015t)
1960 is 10 years after 1950.
This means that:
t = 10
Substitute t = 10 in f(t) = 42e^(0.015t)
f(10) = 42e^(0.015 * 10)
Evaluate
f(10) = 48.80
Hence, the population of the town in 1960 is 48.80 thousands
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Choose the best selection for the
quadrilateral with vertices at the
following points:
(4,0), (8,0), (4,-4), (8,-4)
Hint: Start by graphing the points.
Distance Formula: d= √(x2-x1)² + (y2-y1)²
A. Rectangle
B. Square
C. Rhombus
D. Trapezoid
Answer:
B. Square
Step-by-step explanation:
Finding the side lengths :
Side 1
⇒ d₁ = √(-4 - 0)² + (8 - 8)²
⇒ d₁ = √16
⇒ d₁ = 4
=============================================================
Side 2
⇒ d₂ = √(-4 + 4)² + (8 - 4)²
⇒ d₂ = √16
⇒ d₂ = 4
===========================================================
Side 3
⇒ d₃ = √(-4 - 0)² + (4 - 4)²
⇒ d₃ = √16
⇒ d₃ = 4
============================================================
Side 4
⇒ d₄ = √(0 - 0)² + (8 - 4)²
⇒ d₄ = √16
⇒ d₄ = 4
As all sides of the figure are equal, and it creates 4 right angles, it is a square.
Solve number 8 please
Answer:
see explanation
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k )² = r²
where (h, k ) are the coordinates of the centre and r is the radius
given
x² + y² - 8x + 8y + 23 = 0
collect the x and y terms together and subtract 23 from both sides
x² - 8x + y² + 8y = - 23
using the method of completing the square
add ( half the coefficient of the x / y terms )² to both sides
x² + 2(- 4)x + 16 + y² + 2(4)y + 16 = - 23 + 16 + 16
(x - 4)² + (y + 4)² = 9 ← in standard form
with centre = (4, - 4 ) and r = [tex]\sqrt{9}[/tex] = 3
this is shown in graph b
Can somebody please help me with this?
Answer:
The slope of the line is:
[tex]-\frac{3}{4}[/tex]
Slope of a parallel line is the same:
[tex]-\frac{3}{4}[/tex]
Slope of a perpendicular line, invert the sign and fraction:
[tex]\frac{4}{3}[/tex]
Hope this helps
Solvex - 5+ 7 = 15.
A. x = 13 and x = -3
-13 and x = 3
C. x = -13 and x = -3
OD. x = 13 and x = -13
OB. x =
Answer:
A. X= 13 and X= -3
Step-by-step explanation:
subtract 7 from both sides, simplify, break down the problems into 2 equations, solve equations, and boom once solve both equations you get 2 solutions.
The solutions to the equation are x = 13 and x = -3.
Therefore, the correct option is A.
Given is an expression |x-5| + 7 = 15, we need to solve for x,
To solve the equation |x - 5| + 7 = 15 for x, we'll need to isolate the absolute value expression and then solve for x.
Here's the step-by-step process:
Step 1: Subtract 7 from both sides of the equation:
|x - 5| = 15 - 7
|x - 5| = 8
Step 2: Break the equation into two cases, one with the positive value inside the absolute value and one with the negative value inside the absolute value.
Case 1: x - 5 is positive:
For this case, the equation |x - 5| = 8 becomes:
x - 5 = 8
Now, solve for x:
x = 8 + 5
x = 13
Case 2: x - 5 is negative:
For this case, the equation |x - 5| = 8 becomes:
-(x - 5) = 8
Simplify and solve for x:
-x + 5 = 8
-x = 8 - 5
-x = 3
Multiply both sides by -1 to isolate x:
x = -3
So, the solutions to the equation are x = 13 and x = -3.
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The first steps in determining the perimeter of triangle ABC are shown.
To the nearest whole unit, what is the perimeter of triangle ABC?
6 units
8 units
14 units
16 units
Answer:
C) 14 Units
Step-by-step explanation:
E2020
What is the value of x?
Please help it’s easy, State the property that is used. 10=10•1
The property identity of multiplication is applied in the given statement.
Properties of MultiplicationThe properties of multiplication are:
Distributive: a(b±c)= ab±acComutative: a . b = b. aAssociative: a(b+c)= c(a+b)Identity: b.1=bFrom the property identity, you know that the product between any number by the number 1 equals that number. Example: 3 • 1=3.
The question shows 10=10•1. Like, it was shown previously, this occurs due to the identity property of multiplication.
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Frank bought 6 pens and 3 highlighters in the school store and paid $21 for the whole purchase. His friend, Andy, paid $19 for 2 pens and 4 highlighters. If all pens cost the same and all highlighters cost the same, what is the price of one pen?
Answer:one pen = $1.50
Step-by-step explanation:
See picture for the math if that helps
Using p for pens, h for highlighter,
A for first equation
B for second equation
I used equation A to reduce to a usable substitute by dividing all by 3
And then isolating “h”.
Now substitute the value of “h” into equation B and solve for “p”
P=$1.50
To check your work, substitute p ($1.50) into equation B and solve for “h”
h=$4.00
Now substitute the p and h values into either equation A or B and solve, they equal the numbers given
G
ewrite the equation in Ax+By=C form.
se integers for A, B, and C.
y+4= -4(x-2)
Step-by-step explanation:
y + 4 = -4(x - 2) = -4x + 8
y - 4 = -4x
-4x - y = -4
4x + y = 4
What is the measure of angle c in the parallelogram shown
Answer:
35°
Step-by-step explanation:
Same-Side interior angles (consecutive angles) are supplementary.
Supplementary meaning that those two angles add up to make 180°.
So Angles C is 35°
An angel measures 122 degree more than the measures of supplementary angle. what is the measure of each angle.
Answer:
302 degrees
Step-by-step explanation:
Presently, Victor is three times as old as Maria. Ten years ago, Victor was seven times as old as Maria. How old is each person now?
Step-by-step explanation:
v = Victor's age
m = Maria's age
v = 3m
v - 10 = 7(m - 10)
3m - 10 = 7m - 70
60 = 4m
m = 15
v = 3m = 3×15 = 45
Victor is 45 years old. Maria is 15 years old.
Find the equation of a line that passes through the points (-4, -2) and (6, 3).
Answer:
[tex]y=\frac{1}{2} x[/tex]
Step-by-step explanation:
The equation of a line through two points can usually (except when the line is a vertical line) be written in slope intercept form, [tex]y=mx+b[/tex] , where "m" is the slope of the line, and "b" is the y-intercept of the line.
General outlineFind the slopeFind the y-interceptTo find "m", use the formula for slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{(3)-(-2)}{(6)-(-4)}[/tex]
[tex]m=\dfrac{3+2}{6+4}[/tex]
[tex]m=\dfrac{5}{10}[/tex]
[tex]m=\dfrac{1}{2}[/tex]
So, the slope is 1/2 and we know that the equation for the line that passes through these two points should look like: [tex]y=\frac{1}{2} x+b[/tex]
Step 2. Find the y-interceptTo find "b", substitute one of the known points, and solve for "b":
[tex]y=\frac{1}{2} x+b[/tex]
[tex](3)=\frac{1}{2} (6)+b[/tex]
[tex]3=3+b[/tex]
Subtracting 3 from both sides to isolate the "b"...
[tex](3)-3=(3+b)-3[/tex]
[tex]0=b[/tex]
So, the y-intercept is 0. Substituting into our line equation, [tex]y=\frac{1}{2} x+(0)[/tex] which simplifies to [tex]y=\frac{1}{2} x[/tex]
Write 320 g as a fraction of 2 kg. Give your answer in its simplest form.
Answer:
4/25
Step-by-step explanation:
Let's make the units the same :
2 kg = 2000 g
Now lets simplify this fraction :
Divide top and bottom by 2 until you can't :
320/2000 = 160/1000
160/1000 = 80/500
80/500 = 40/250
40/250 = 20/125
Now we divide top and bottom by 5 as 2 is not a factor of 125 :
20/125 = 4/25
This is our final answer
Hope this helped and brainliest please
Whoever answers first will get brainliest answer!
mrs. mank is decorating a 4-foot by 9-foot bulletin board in her classroom. if she decides to put a purple border around the entire board, what is the length of border that she needs?
Answer:
36 feet
Step-by-step explanation:
To find the area of a square or rectangle you multiply the width by the length.
) The gym teacher divided a class into four teams with 7 students per team. How many students are in the class?
Answer:
28 students
Step-by-step explanation:
7 times 4 = 28
there are are seven students in 4 teams, so that means there are 4 groups of seven, and you multiply them together to get how many students in the class
Answer:
28
Keyword(s):
divided, four, 7, per team, how many
Step-by-step explanation:
7 × 4 = 28
Ronald compared the rate at which water is used from two different water storage tanks by measuring the volume of the water remaining. The results are shown in the table
The statement that best describes the results is in tank 1, the rate at which water is used is higher.
What is the rate for each tank?Tank 1:
Total of water used/ time177.12/4 = 44.28 gallons per hourTank 2:
160/ 4 = 40 gallons per hourWhat are the results?The rate in tank 1 is higher than the rate in tank 2.
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i need help pleaseee
Answer: $7448
Step-by-step explanation:
Year 1: 1.218x
Year 2: 1.218(1.218x)
Year 3: 1.218(1.218(1.218x))
Year 4: 1.218(1.218(1.218(1.218x)))
Year 5: 1.218(1.218(1.218(1.218(1.218x))))
Year 6: 1.218(1.218(1.218(1.218(1.218(1.218x)))))
Year 7: 1.218(1.218(1.218(1.218(1.218(1.218(1.218x))))))
Year 8: 1.218(1.218(1.218(1.218(1.218(1.218(1.218(1.218x)))))))
Year 9: 1.218(1.218(1.218(1.218(1.218(1.218(1.218(1.218(1.218x))))))))
Year 10: 1.218(1.218(1.218(1.218(1.218(1.218(1.218(1.218(1.218(1.218x)))))))))
Year 11: x(1.218¹¹)
Year 12: x(1.218¹²) = 79,400
x(10.6602517) = 79,400
x = 79,400/10.6602517
x=7448.22939
x = $7448
Hope this helps!