An ant looks up at an angle of elevation of 30degrees to the top of a tree. If the ant is 40 feet from the base of the tree, what is the height of the tree, to the nearest tenth?
a.
23.1 feet
b.
25.2 feet
c.
32.8 feet
d.
34.6 feet
Anaswer Let the height of the tree be
y
ft. By condition;
tan
38
=
y
43
or
y
=
43
tan
38
or
y
=
33.6
ft [Ans]
Step-by-step explanation:
Answer:
Step-by-step explanation:
The CORRECT answer is
C. 32.8 feet Got it correct
One spinner has three equally sized sectors labeled R, S, and T. A second spinner has two equally sized sectors labeled 3 and 5. Each
spinner is spun once.
What is the sample space of outcomes?
Answer:
3rd option
Step-by-step explanation:
The sample space of outcomes, when two spinners, one with three equally sized sectors labeled R, S, and T and the other with two equally sized sectors labeled 3 and 5 spun once, is {R3, R5, S3, S5, T3, T5}.
What is sample space?Sample space is the set of all the possible values or the outcomes of an event.
Let suppose the coin is tossed two times. Then the set of possible outcomes or sample space of it can be given as,
[tex]S=\{HH,HT,TH,TT\}[/tex]
Here, H denotes the head and T denotes the tail part of the coin.
In the given problem,
One spinner has three equally sized sectors labeled R, S, and T. A second spinner has two equally sized sectors labeled 3 and 5. Each spinner is spun once.
The sample space when are {R3, R5, S3, S5, T3, T5}. Thus, there is a total of 6 outcomes of the event.
Hence, the sample space of outcomes, when two spinners, one with three equally sized sectors labeled R, S, and T and the other with two equally sized sectors labeled 3 and 5 spun once, is {R3, R5, S3, S5, T3, T5}.
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Please Help
Find the area of a circle with radius,
r
= 87cm.
Give your answer rounded to 3 SF.
Step-by-step explanation:
so, to repeat, the radius r of the circle is 87 cm.
the area of a circle is
pi×r²
so, in our case
A = pi×87² = pi×7569 = 23,778.7148... cm²
so, how to give this answer with only 3 significant figures ?
as you can see, there are already 5 figures before the decimal point.
3 attempts :
1. 3 significant figures after the decimal point : 23778.715 cm²
2. scientific notation with 3 SF : 2.38×10⁴ cm²
3. converting to m² (1m² = 10000cm²) : 2.38 m²
Help help help help math
Answer:
A = 192
Step-by-step explanation:
r = 16/2 = 8
A = 3x(8)^2
8^2 = 64
A = 3 x 64 = 192
Radius is half the diameter.
The diameter is shown as 16, so the radius would be 16/2 = 8 in.
Area = 3 x 8^2
Area = 3 x 64
Area = 192 square inches
Write 252 as a product of primes. Use index notation when giving your answer.
Answer:
2^2 * 3^2 * 7
Step-by-step explanation:
Keep dividing by prime numbers:
2 ) 252
2) 126
3) 63
3) 21
7
so 252 = 2*2*3*3*7
= 2^2 * 3^2 * 7
20-5+15(25)=b+3+65(23)
Answer:
-1108
Step-by-step explanation:
Answer:
-b=-1108
Step-by-step explanation:
20-5+375=b+3+1495
-375 -375
20-5=b+3+1420
15=b+1423
-b -b
-b+15=1423
-15 -15
-b=1108
20-5+375=-1108+3+1495
390=390
Which is an equation of a line parallel to y=7x−3 that has a y-intercept of 5?
XxxxAnswer:
Step-by-step explanation:xdd
Given: AC = 4DC, BC = 4EC
Prove: A = D
The 13th arithmetic sequence of whose common difference is d=7 and first term is A1=3
Answer:
87
Step-by-step explanation:
difference = 7
A1 = 3
so let's imagine this arithmetic sequence as
3, 10, 17, 24 etc....
mathematically the sequence can be described as
An = a1 + (n - 1) d
A13 = 3 + (13 - 1) 7 = 3 + 12*7 = 87
what is the slope of the line
Answer:
Bala Bala Bala Bala Bala
Step-by-step explanation:
what is the slope of the Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah answer is answer the question Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah
9th grade math please help will give brainliest !!!
Answer:
48 g - 40 h + 64
Step-by-step explanation:
you take the 8 and multiply it by the numbers that are in the paraentheses. keep the variables the same
teheheh help please :)
Answer:
Solid line
Step-by-step explanation:
This means that it is equal. The line under the less than sign means it would be a solid line.
What is the slope??
(The bottom one says : (-6, -5)
Here,
(-1, 4) = (x₁ , y₁)
(-6, -5) = (x₂ , y₂)
Slope = rise/run
Slope = y₂ - y₁/x₂ - x₁
Slope = -5 - 4/ -6 + 1
Slope = -9/-5
Slope = 9/5
_____
Hope it helps ⚜
Given that the formula for the area of a circle is A=π r2.If the radius of a circular park is 15 feet,what is the area of the park rounded to the nearest hundredths?
Answer:
706.5
(there is no hundredths place)
Step-by-step explanation:
r=15
a= pi × r²
3.14×15²
15²=225
3.14×225=706.5
A school is arranging a field trip to the zoo. The school spends 515.84 dollars on passes for 30 students and 2 teachers. The school also spends 282.90 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?
Answer:
26.16
Step-by-step explanation:
Can someone help me please
Answer:
+29 C
Step-by-step explanation:
If we find the distance between both numbers on number line and we put -2 on the negative side and +27 on the positive side we can find the distance which is 29 and this means In Milan it was warmer by: +29C
A circle has a radius of 6. 87 feet. What is the circumference of this circle? Use 3. 14 for pi. Round your final answer to the nearest tenth. Enter your answer as a decimal in the box.
The circumference of this circle to the nearest tenth is equal to 43.1 feet.
Given the following data:
Radius = 6.87 feetPie = 3.14To determine the circumference of this circle to the nearest tenth:
Mathematically, the circumference of a circle is given by the formula:
[tex]C = 2\pi r[/tex]
Where:
C is the circumference of a circle.r is the radius of a circle.Substituting the given parameters into the formula, we have;
[tex]C = 2 \times 3.14 \times 6.87[/tex]
Circumference = 43.1 feet.
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First question: 3(x + 2)
If answered correctly- Brainliest
Second question:
Answer:
8 gumballs 3 jaw breakers or the required inequality expression is
0.50g + 0.30j ≤ 3
Step-by-step explanation:
welcome...
To paint a house, a painting company charges a flat rate of $275 for supplies plus $60 per hour of labor. Write a linear equation for tis situation and explain the slope and y-intercept in this context.
Answer:
y=60x+275
Step-by-step explanation:
the slope would be 60 as it is the rate being charged per hour, the y intercept (b) is the initial y value at x=0 and since the company charges 275 before they do any work, that would be the y intercept.
Consider these functions:
х
g(x)
h(x)
0
0 0
NO
6
What is the value of x when gh(x)) = 4?
O A 0
OB. 2
OC. 4
OD 5
please help me im only looking for real answers
if you put a link to an inappropriate site i WILL report it
Answer: y=3/2x
Step-by-step explanation:
First, to find the equation, we can figure out that the cost depends on how many tickets are bought. We can use cost as our y and # of tickets as our x.
An equation in slope intercept form is as follows:
y=mx+b
To get our slope, we must figure out the relationship between the cost and the number of tickets, or the y and the x.
We can use the slope formula, [tex]\frac{y2-y1}{x2-x1}[/tex], to find the slope, m.
[tex]\frac{3-6}{2-4}[/tex] = [tex]\frac{3}{2}[/tex]
Thus, the slope of the equation is 3/2, making our final equation be y=3/2x.
What is the correct answer?
Answer:
tan(w)=opp/adj
tan(w)=12/5
=2.4
=3 ........ rownd
We know
[tex]\boxed{\sf tan\Theta=\dfrac{Perpendicular}{Base}}[/tex]
Now
[tex]\\ \sf\longmapsto tanW=\dfrac{XY}{XZ}[/tex]
[tex]\\ \sf\longmapsto tanW=\dfrac{12}{5}[/tex]
[tex]\\ \sf\longmapsto tanW=2.4[/tex]
Write 72,658 in expanded form using
exponents to write powers of 10.
ayo how do answer these
Step-by-step explanation:
7 x 10^4
+ 2 x 10^3
+ 6 × 10^2
+ 5 × 10^1
+ 8 X 10^0
A line passes through the point (9,5) and
has a slope of 1/3 Write an equation of the line in
slope-intercept form
Answer:
Answer: y=1/3x-6
A piece of metal with a length of 2.83 cm was measured using four different devices. Which of the following measurements is the most accurate? O 2.812 cm O 2.837 cm O 2.805 cm 0 2.829 cm
Answer:
2.829
Step-by-step explanation:
ita the closest to 2.83
The most accurate measure is 2.829 cm.
What is rounding off a number?To change a number into an approximation having fewer significant digits.
Given that, A piece of metal with a length of 2.83 cm was measured using four different devices.
a) 2.812 =
Rounding off to the 10th place = 2.81 cm
b) 2.837 =
Rounding off to the 10th place = 2.84 cm
c) 2.805 =
Rounding off to the 10th place = 2.8 cm
d) 2.829 =
Rounding off to the 10th place = 2.83 cm
Hence, the correct answer is 2.829 cm
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change percentage to a decimal
52 %
319%
7.9%
4/5%
3 7/8%
6 2/3%
2.
There are six bottles of water. Each bottle contains 0.65 L of water. The capacity of a cup is 0.26 L.How many cups can you fill with all the water.
3.
30.8 m of cloth is needed to make 7 shirts. What is the length needed to make 16 shirts
4.
Mrs Wong buys 0.6 kg of fish balls for $15. Mr Chan buys 0.5 kg from the same shop how much should he pay?
5.
every 0.35 L of mango drink is made of 0.14 kg of mangoes and some soda . Connie wants to buy 3.75 L of mango drink . How many kilograms of mangoes dose she need
Answer:
52%=0.52
319%=3.19
7.9%=0.079
4.5%=80
37/8%=4.652
62/3%=20.67
2. 15 cups
3. 70.4m
4. $12.5
5.
Step-by-step explanation:
52%=52/100=0.52
319%=319/100=3.19
7.9%=7.9/100=0.079
4/5%=(4/5)/100=4/5×100=80
37/8%=4.(5/8)=4.652
62/3%=20.(2/3)=20.67
1 bottle holds 0.65L
1 cup holds 0.26L
6 bottles hold (0.65×6) =3.9L
n cups hold 3.9L
0.26n=3.9
n=3.9/0.26
n=15
30.8m make 7 shirts
ym make 1 shirt
7y = 30.8
y = 4.4m
1 shirt needs 4.4m
16 shirts need 16×4.4=70.4m
0.6kg cost $15
1kg costs $b
0.6b=15
b=$25
1kg costs $25
0.5kg cost (25×0.5)=$12.5
5. 19c + 1 = 39
Show the work please
Hello :) Here is the step by step,
19c+1=39
Subtract 1 from both sides.
19c=39−1
Subtract 1 from 39 to get 38.
19c=38
Divide both sides by 19.
c= 19 /38
Divide 38 by 19 to get 2.
c=2
John has quarters, nickels, and dimes. He has 4 more nickels than quarters and twice as many dimes than nickels. If he had $6.00, how many quarters does he have?
Show your work in the are below.
Make sure you define the variable. Start with "Let x be..."
Answer:
Let the no of quarters be x
According to given,
x + (x+4) + (x+4)/2 = 6
x + (x+4) + (x + 8)/2 = 6
x + x + 4 + (x + 8)/2 = 6
[2 (2x + 4) + (x + 2)]/2 = 6
4x + 8 + x + 2 = 6 × 2
5x + 10 = 12
5x = 12 - 10
5x = 2
x = 2/5
•°• x = 0.4
1 doller = 4 quarter
0.4 doller = p
p = 0.4 × 4 = 1.6
•°• There are 1.6 quarter.
ATQ
[tex]\\ \sf\longmapsto x+x+4+2(x+4)=6[/tex]
[tex]\\ \sf\longmapsto 2x+4+2x+8=6[/tex]
[tex]\\ \sf\longmapsto 4x+12=6[/tex]
[tex]\\ \sf\longmapsto 4x=-6[/tex]
[tex]\\ \sf\longmapsto x=-3/2[/tex]
[tex]\\ \sf\longmapsto x=|-1.5|[/tex]
[tex]\\ \sf\longmapsto x=1.5[/tex]
Graph the following features:
Slope = -3
• Y-intercept = -4
Answer:
maybe (-3,-4)?
Step-by-step explanation:
I have two bags of marbles, each of which contains some red marbles and some blue marbles (and no marbles of any other color). The ratio of red marbles to blue marbles in the first bag is $3:5.$ The ratio of red marbles to blue marbles in the second bag is $3:2.$ When the two bags of marbles are mixed together, the ratio of red marbles to blue marbles is $11:9.$ What is the ratio of the number of marbles in the first bag to the number of marbles in the second bag?
========================================================
Explanation:
Let x and y be two positive whole numbers. They may or may not be equal.
The first bag has the ratio of red to blue as 3:5, which scales up to 3x:5x after multiplying both parts by x. We have 3x red and 5x blue.
The second bag has the ratio 3:2 which scales up to 3y:2y. This bag has 3y red and 2y blue.
We can make a handy table to keep track of all the expressions
[tex]\begin{array}{|c|c|c|}\cline{1-3}\text{ } & \text{Red} & \text{Blue}\\ \cline{1-3}\text{bag 1} & 3x & 5x\\ \cline{1-3}\text{bag 2} & 3y & 2y\\ \cline{1-3}\end{array}[/tex]
Based on that, we can then say:
The two red quantities add to R = 3x+3yThe two blue quantities add to B = 5x+2yEffectively, I added down along each column of that table.
Divide the two expressions for R and B to lead to the fraction 11/9, which is directly from the ratio 11:9
So,
(total red)/(total blue) = 11/9
R/B = 11/9
(3x+3y)/(5x+2y) = 11/9
---------------------
Let's cross multiply and then solve for y
(3x+3y)/(5x+2y) = 11/9
9(3x+3y) = 11(5x+2y)
27x+27y = 55x+22y
27y-22y = 55x-27x
5y = 28x
y = 28x/5
y = (28/5)x
y = 5.6x
We'll keep this in mind for later.
---------------------
Now let:
F = amount of marbles in the first bagS = amount of marbles in the second bagRecall that we had 3x red and 5x blue for the first bag. That means we have 3x+5x = 8x marbles in the first bag. Therefore, F = 8x.
Also, we had 3y red and 2y blue for the second bag.
So we have S = 3y+2y = 5y
Then we can apply further substitution to say
S = 5y
S = 5(5.6x) .... plug in y = 5.6x
S = 28x
---------------------
In short,
F = 8xS = 28xfor some positive whole number x. We don't have enough info to pin down what x is exactly; however, it doesn't really matter. This is because the x variable will cancel when dividing F over S
F/S = (8x)/(28x) = 8/28 = 2/7
The fraction 2/7 leads directly to the final answer of the ratio 2:7
In other words, the ratio 8x:28x simplifies fully to 2:7 after dividing both parts by 4x.
The ratio between the total marbles of the first bag and the second bag is 2:7.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
x marbles in the first bag.
red marbles = 3x
blue marbles = 5x
y marbles in the second bag.
red marbles = 3y
blue marbles = 2y
Now,
Total red marbles in both bags.
3x + 3y = 11 _____(1)
3x = 11 - 3y
x = (11 - 3y) / 3
Total blue marbles in both bags.
5x + 2y = 9 ______(2)
From (1) and (2) we get,
Multiply 2 in (1).
6x + 6y = 22
6y = 22 - 6x _____(3)
Multiply 3 in (2)
15x + 6y = 27 ______(4)
Putting (3) in (4)
15x + 22 - 6x = 27
9x = 27 - 22
9x = 5
x = 5/9
Now,
x = 5/9 in (3)
6y = 22 - 6(5/9)
6y = 22 - 10/3
6y = (66 - 10)/3
y = 56/18
y = 28/9
Now,
First bag.
Red marbles = 3x = 3 x 5/9 = 5/3
Blue marbles = 5x = 5 x 5/9 = 25/9
Total marbles = 5/3 + 25/9 = (15 + 25)/9 = 40/9
Second bag.
Red marbles = 3y = 3 x 28/9 = 28/3
Blue marbles = 2y = 2 x 28/9 = 56/9
Total marbles = 28/3 + 56/9 = (84 + 56)/9 = 140/9
Now,
The ratio between the total marbles of the first bag and the second bag.
= 40 :140
= 4:14
= 2:7
Thus,
The ratio is 2:7.
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