Answer:
Ren was 27.5 meters away from her family.
Step-by-step explanation:
Ren Qian was at a height of 10 meters to the ground. Let the distance from her vertical point on the ground to her family (i.e the ground distance) be represented by x.
But the angle of depression is measured with respect to the horizontal plane, so;
the vertical angle = [tex]90^{o}[/tex] - 20°
= [tex]70^{o}[/tex]
Applying the appropriate trigonometric function, we have;
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Tan [tex]70^{o}[/tex] = [tex]\frac{x}{10}[/tex]
⇒ x = 10 x Tan [tex]70^{o}[/tex]
= 10 x 2.7475
= 27.475
x = 27.5 meters
Ren was 27.5 meters away from her family.
find the mausure of 1
Answer:
88
Step-by-step explanation:
Every triangle has a measure of 180, so if we know two of the angles we can find the last one easily. To find angle 1, we first must find angle 2. 2 must be equal to 42 because it is vertical to the other angle that is equal to 42 degrees. Then to find angle 1 do the operation 180-(50+42). This equals 88, which is the measure of angle 1.
Marie can find the volume of a cube by using the formula V=s exponent 3 where s repersents the side length of the cube if marie's cube has a side length of 2-1/2 centimerters what is the volume of her cube? WRITE AS A FRACTION
Answer:
125 / 8 centimeters
Step-by-step explanation:
Given:
V = s³
Where,
V = volume of the cube
s = side length of the cube
if marie's cube has a side length of 2 1/2 centimerters
That is,
s = 2 1/2 cm
V = s³
= (2 1/2)³
= (5/2)³
= 125 / 8 centimeters
NOTE:
(5/2)³ = 5³ / 2³
= 5*5*5 / 2*2*2
= 125 / 8
To begin a basketball game, a referee msut toss the ball vertically into the air. This process can be modeled by the equation h(t) = -16t^2+22t+6, where h represents the ball's height (in feet) after t seconds. Determine the time interval (in seconds) in which the height of the basketball is 8 feet. Round your answer to the nearest thousandth of a second
Answer:
1.277s and 0.098s
Step-by-step explanation:
Given the height of the ball modelled by the equation
h(t) = -16t^2+22t+6, where;
t is the time in seconds
To calculate the time interval (in seconds) in which the height of the basketball is 8 feet, we will simply substitute h(t) = 8 into the expression and calculate t as shown;
8 = -16t^2+22t+6
Divide through by 2
4 = -8t^2+11t+3
-8t^2+11t+3-4 = 0
8t^2-11t+1 = 0
t = 11±√11²-4(8)/2(8)
t = 11±√121-32/16
t = 11±√89/16
t = 11±9.43/16
t = 11+9.43/16 and t = 11-9.43/16
t = 20.43/16 and t = 1.57/16
t = 1.277s and t = 0.098s
Hence the time interval to the nearest thousands are 1.277s and 0.098s
geometry question. please help
Answer:
The length of PQ is 18 feet.
The length of PR is 18 feet.
The length of QR is 24 feet.
Step-by-step explanation:
A way to set an equation up for this problem is:
[tex]\frac{4}{3}x+x+x=60[/tex]
where x is the three lengths of the isosceles triangle, but the base QR is 4/3 the length of the other two congruent sides, length PQ and PR. The 60 represents the total length of the perimeter.
Then, solve for x from the equation, and you’ll get x=18. But your not done yet. Since the variable x in the equation stands for the sides of the isosceles triangle, so plug 18 into the equation and it should look like this:
[tex]\frac{4}{3}(18)+18+18=60[/tex]
Don’t solve the whole equation, just solve the [tex]\frac{4}{3}(18)[/tex] part of the equation, which is equal to 24. So the final equation is this:
[tex]24+18+18=60[/tex]
Conclusion: 24 is the length of QR, and 18 is the length of PQ and PR. And they all equal 60, which is the perimeter. This is very true because the length of PQ and PR are the same (length 18), since it’s an isosceles triangle, and the length of QR is 4/3 the length of PQ and PR (4/3 of 18= 24).
Sorry for the long explanation.
But hope this helps and answers your question :)
Pls help!!!!
f(x) = sqrt(6x) g(x) = sqrt(24x) Find (fg)(x) . Assume x >= 0 .
Answer:
The answer is letter D.
If we solve the given function when the functions are f(x)=[tex]\sqrt{6x}[/tex] and g(x)=[tex]\sqrt{24x}[/tex] then we will be able to find it equal to 12x.
What is a function?
A function is a relation in which each element of x is having a value in the y element. It is written in the form of f(x).
How to solve two functions?f(x)=[tex]\sqrt{6x}[/tex] and g(x)=[tex]\sqrt{24x}[/tex]
(f.g)x=f(x)*g(x)
=[tex]\sqrt{6x} *\sqrt{24x}[/tex]
=[tex]\sqrt{6x}*2\sqrt{6x}[/tex]
=2*6x
=12x
Hence the value of (f.g)x is 12x.
Learn more about functions at https://brainly.com/question/25638609
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Please help ASAP!!!!
Answer:
The second one.
Step-by-step explanation:
Answer: The second choice I think
Step-by-step explanation:
7-[tex]7=\frac{w}{4} -10[/tex]
Answer:
w = 68
Step-by-step explanation:
7 = w/4 - 10
~Simplify
7 = 1/4w - 10
~Add 10 to both sides
17 = 1/4w
~Multiply 4 to both sides
68 = w
Best of Luck!
Eli and his children went into a movie theater and will buy candies and pretzels. Each candy costs $3.50 and each pretzel costs $3.25. Eli has a total of $30 to spend on candies and pretzels. Write an inequality that would represent the possible values for the number of candies purchased, cc, and the number of pretzels purchased, p.p.
Answer: He spent $7.25 dollars.
Step-by-step explanation:
$3.50 + 3.25 = 7.25Inequality shows a relationship between two numbers or two expressions.
The inequality that would represent the possible values for the number of candies purchased c and the number of pretzels purchased p is
3.50c + 3.25p ≤ 30
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal =
Greater than and equal=
We have,
Cost of candy = $3.50
Cost of a pretzel = $3.25
Total amount to spend = $30
Let the number of candies = c
Let the number of pretzels = p
The inequality to spend on possible numbers of candies and pretzels:
3.50c + 3.25p ≤ 30
Thus,
The inequality that would represent the possible values for the number of candies purchased c and the number of pretzels purchased p is
3.50c + 3.25p ≤ 30
Learn more about inequalities here:
https://brainly.com/question/20383699
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Cheryl fenced in a rectangular kennel and used more fence to divide it into six equally sized sections for her dog i
h is friends as shown. The length of each section is 2 feet more than 3 times its width.
T
If the total amount of fence used for the kennel is 113 feet, what is the area of each section?
Enter the value of the answer in the first blank and enter the units in the second.
Enter your answer in decimal form. Round to the nearest tenth if rounding is necessary.
Enter units as ft., square ft., or cubic ft.
Answer:
The area of each section of the kennel is 33 square ft
Step-by-step explanation:
The given parameters for the fencing are;
The length of each section, L = 2 ft + The width, 3×W
The total amount of fencing = 113 feet
The The total perimeter of the kennel = 12·W + 7·L = 113
Were we are given L = 2 + 3·W
By substitution, we have;
12 × W + 7 × (2 + 3·W) = 113
33·W + 14 = 113
33·W = 113 - 14 = 99
W = 99/33 = 3
W = 3 ft.
L = 2 + 3·W = 2 + 3 × 3 = 11
L = 11 ft.
The area of each section of the kennel, A = L × W = 3 × 11 = 33 square ft.
The area of each section of the kennel = 33 square ft.
Answer this pls need it
Answer:
Woah im sorry buh it luks complicated ill try nd wk on it to help u out
This is really confusing i need help if you get this right i will give you brainliest
Okie B or D
Maybe C
OK ok ok ok ok ignore that it's probably B? orC
okie nevermind there's lots of bullies and no one even know's I'm autistic people, okie baiiiii
Answer: I don't think the answer is B. -3/5+(-2/8)-4=-5 because B. -3/5+(-2/8)-4 A. (-40)+(-30)+28=-42, C. 130+70+(-37)=163, D. 40+(-58)+160=142. I think A. (-40)+(-30)+28=-42
Two girls, Sienna and Lexi, are walking laps on a path that goes around the pond at a local park. They start at the same place on the path, and at the same time. They plan to
continue to walk laps until they are both at the starting point at the same time. Sienna can complete a lap around the pond every 4 minutes. Lexi can complete a lap every 6
minutes.
If both Sienna and Lexi keep walking at these rates, they will first be at the starting point at the same time after
minutes.
When they meet at the starting point, Sienna will have completed
B laps around the pond, and Lexi will have completed
laps.
Answer:
Sienna will have done 6 laps while Lexi would have done 6
Step-by-step explanation:
pls helppppppp its math
Answer:
th
e last oneStep-by-step explanation:
Answer:
I think its E because it's in between E and F and E and G
Step-by-step explanation:
Question 9 and 10 please help it’s due today and I will mark you brainless
Answer: the first one you graph the points (-4,11) (-3,4) (-2,-1) (-1,-4) (0,-5) (1,-4) (2,-1) (3,4) (4,11), it is a function because each input has only one output. Then the second is not a function because it does not pass the vertical line test
Step-by-step explanation:
Write the equation of the line that goes through the point (2, -1) and has a slope of
-3.
Answer:
y=-3 -1
Step-by-step explanation:
y=mx+b m=slope b= y intercept
Answer:
y = - 3x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 3, thus
y = - 3x + c ← is the partial equation
To find c substitute (2, - 1) into the partial equation
- 1 = - 6 + c ⇒ c = - 1 + 6 = 5
y = - 3x + 5 ← equation of line
Does anyone know the answer to this?
Answer:
Step-by-step explanation:
f(n) = 128[tex](\frac{1}{4}) ^{n}[/tex]
Find A. Round to the nearest tenth:
Answer:
24.0
SinA = sinB
a b
Sin150 = Sin12
a 10
cross multiplication:
Sin(150) x 10
Sin(12)
5
sin 12 = 24.0
I hope I got it correct
Answer:
Step-by-step explanation:
[tex]\frac{10}{sn12}[/tex] = [tex]\frac{a}{sin150}[/tex]
a = [tex]\frac{10sin150}{sin12}[/tex] ≈ 24.0
if if x equals 3 and Y equals negative 2 - x 3 - Y2
Answer:
13
Step-by-step explanation:
x=3, y=-2 so 3(3)-(2)2=13
Help me with these please
Answer:
A) SAS
Step-by-step explanation:
The picture gives us that two sides are congruent. We can see that an angle is congruent as well because they share a common point at their tip.
If we look at just the area of intersection, it looks like an X. Think of the X as two lines intersecting. Each side equals 180°, and because both triangles are made up of those sides, we can conclude that the angles are congruent as well.
Hope this helps!
PLS HELP ILL GIVE BRAILIST
Answer:
14 hrs
Step-by-step explanation:
just keep adding up the miles till u get to 804 then u find out what half of 268 is which it is 134 then u add 804 plus 134 to get 938 then u find out how many hours that is which half 4 hours is and 2hrs
s = 2b + ph solve for h
Answer:
2
Step-by-step explanation:
A grid model with 100 squares. 20 squares are shaded.
Which fraction is equivalent to 20%?
StartFraction 1 Over 20 EndFraction
StartFraction 2 Over 20 EndFraction
StartFraction 4 Over 20 EndFraction
StartFraction 5 Over 20 EndFraction
Will give brainliest for answer!!
Answer:
4 over 20
Step-by-step explanation:
did on edg 2020
Answer:
c
Step-by-step explanation:
A bus company charges $1.35 a kilometre for chartering a bus. Each bus can transport a maximum of 54 students. Assuming that the a bus is full, how much should each child pay if the distance to be covered is 50 km?
Answer:
$1.25 is the answer in my opinion
Answer:
Each child should pay $1.25
Step-by-step explanation:
$1.35 * 50 = $67.5
$67.5/54 = $1.25
Identify the most precise name for the angle pair shown in the picture.
Answer:
I think its complementary
question attached above
Answer:
23*
Step-by-step explanation:
Answer:
23
Step-by-step explanation:
A racehorse breeder's sells feed by the ton (2000 pounds). They add a special supplement to the feed. Each horse needs 300 milligrams (mg) of this supplement a day and each horse consumes 15 pounds of the feed per day. If there are 1,000 milligrams in a gram, how many grams of the medication should the feed company add for each ton of feed they produce
Answer: 40 grams
Step-by-step explanation:
Each horse needs 300 milligrams and each horse eats 15 pounds of feed per day.
This means that 300 milligrams should be in 15 pounds of feed.
In 2,000 pounds therefore, the medication that should be added is;
= (2,000 * 300) / 15
= 40,000 milligrams of supplement
Question calls for how much grams are needed.
1 gram is 1,000mg
40,000 milligrams is;
= 40,000/1,000
= 40 grams
Select all the expressions that have a value of 180 when b = 4.
87b−179+957÷87
33b12
b2+120
51b−24
11b+187−2,756÷13
Answer:
87b-179+957÷87=180
51b-24=180
Step-by-step explan
Y=8-x
7=2-y
Substitute to solve
I will give Brainliest for the correct answer
Hurry please!!
Answer:
y=-5, x=13
Step-by-step explanation:
y value equals -5, plug that value into the other problem and solve
Solve for y.
ln(2y−1)=3
Answer y=(e^3+1/2)
for future reference
Answer:
The correct answer should be:
[tex]y=\frac{1}{2}(e^3+1)\text{ or } y=\frac{e^3}{2}+\frac{1}{2}[/tex]
Step-by-step explanation:
We have the equation:
[tex]\ln(2y-1)=3[/tex]
Let’s remove the natural logarithm by raising both sides to e. This yields:
[tex]e^{\ln(2y-1)}=e^3[/tex]
The left will simplify to:
[tex]2y-1=e^3[/tex]
Add 1 to both sides:
[tex]2y=e^3+1[/tex]
Divide both sides by 2. So, the value of y should be:
[tex]y=\frac{1}{2}(e^3+1)[/tex]
Answer:
The correct answer is indeed y = [tex]\frac{e^3+1}{2}[/tex]
Step-by-step explanation:
I also took the test!
hii, this geometry, please help haha!!
Answer:
its 6
Step-by-step explanation:
(16x+5) = 1
50 - 45 = 5
5+1=6
Answer:
x=5
Step-by-step explanation:
since both triangles are equivalent then both given angles add up to 95. So to find x you would see what value makes it equal 85 when it's plugged in to equal 180 in total.
16(5)+5=85+95=180