Answer:
[tex]5.77\ \text{m}[/tex]
[tex]11.54\ \text{m}[/tex]
Step-by-step explanation:
p = Height of pole
h = Length of role
b = Distance between the bottom of the rope and bottom of the pole = 10 m
[tex]\theta[/tex] = Angle between the rope and the ground = [tex]30^{\circ}[/tex]
[tex]\tan\theta=\dfrac{p}{b}\\\Rightarrow p=b\tan\theta\\\Rightarrow p=10\tan30^{\circ}\\\Rightarrow p=5.77\ \text{m}[/tex]
The length of the rope is [tex]5.77\ \text{m}[/tex]
[tex]\cos\theta=\dfrac{b}{h}\\\Rightarrow h=\dfrac{b}{\cos\theta}\\\Rightarrow h=\dfrac{10}{\cos30^{\circ}}\\\Rightarrow h=11.54\ \text{m}[/tex]
The length of the pole is [tex]11.54\ \text{m}[/tex]
Samir and Christian had a total of 360 marbles Samir lost 28 marbles while Christian brought 18 more marbles both of them had an equal number of marbles in the end how many marbles did Samir have at the beginning
Step-by-step explanation:
Marbles altogether = 360
Marbles Samir Lost = 28
360 - 28 = 332
Marbles Christian bought 18
332 + 18 = 350
Marbles both had in the end = 350 ÷ 2 = 175
Marbles Samir have at the beginning = 175 + 28 = 203
Answer = 203
PLZZZ ANSWER!! Answers for points will be reported.
Triangle KLM has KL = 28, KM = 28, and LM = 21. What is the area of the triangle?
The area of AKLM is about
(Simplify your answer. Round to one decimal place as needed.)
Answer:
272.6Step-by-step explanation:
This is an isosceles triangle with base of 21 and sides of 28.
Area formula
A = 1/2bhFind height:
h = [tex]\sqrt{28^2 - (21/2)^2} = \sqrt{673.75} = 25.96[/tex]Area:
A = 1/2(25.96)(21) = 272.6 (rounded)
What is the greatest common factor of 138 and 345?
Answer:
Step-by-step explanation:
Step by Step Solution. Calculate Greatest Common Factor for : 138, 345. Factorize of the above numbers : 138 = 2 • 3 • 23. 345 = 3 • 5 • 23. Build a prime factors table. ...
Why learn this.
Terms and topics. GCF calculator.
Related links. Greatest common factor (GCF) explained | Arithmetic (video) | Khan Academy. LCM on Purplemath.
Answer:
69 I believe.
Step-by-step explanation:
Manny buys 16 apples at the market and 8 oranges. what are the ratios of apples to oranges ?
Answer:
2:1 or 16:8
Step-by-step explanation:
Answer:
2:1
Apple: orange
Step-by-step explanation:
Divide the number of apples by the number of oranges
If you have $3250 how many board feet can you buy if the cost per board foot is $2.29?
Answer:
If i am right i think its 1419
Step-by-step explanation:
3250/2.29= about 1419
Answer:
1419.21= 1419
Step-by-step explanation:
Divide the amount of money you have with the cost price of what you want to buy.
$3250/$2.29=1419.213974
The answer is a decimal. But we can not have a unit as decimal so we have to round it down to the nearest whole number.
Therefore = 1419
Evaluate 2^9 (2 to the 9th power)
Answer:
512
Step-by-step explanation:
2^9 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 512
if you travel 35 miles per hour for 45 hours hovú far will you travle
Answer: 1575 miles
Step-by-step explanation:
Let's take what we are given
35 miles an hour
45 hours
Let's now multiply them together to get our result
35x45
1575 miles in 45 hours
Levi bought 5 pairs of jeans for $127.63. How much would he need to pay for 9 pairs of jeans?
Answer:
$229.73
Step-by-step explanation:
5 Pair of jeans = 127.63
divide by 5 to get 1 pair of jeans.
1 pair of jeans = 25. 526 rounded 25.53
times 9 to get to 9 pair of jeans.
9 pair of jeans = 229. 734 rounded 229.73
i need help asap!!!!
Answer:
760 inches squared
Step-by-step explanation:
surface area -
4(14 x 10) + 2( 10 x 10) = 560+200=760
A new treatment for depression involves a one month stay on a Caribbean island and daily therapy sessions with a team of 8 professionals. A researcher knows that people with untreated depression miss an average of μ = 4.30 days of work per month (σ = 1.1). It was found that a random sample of 121 depressed individuals who underwent the new treatment missed an average of M = 4.08 days of work per month following treatment. Thus, the research question is: what is the impact of this treatment on absenteeism (i.e., days missed from work)?
Answer:
A
Step-by-step explanation:
Given a linear equation in the form y = ax, if a > 0 then the greater the coefficient a
a) the greater the slope of the equation
b) the smaller the slope of the equation
WILL MARK BRAINLIEST
c) the longer the line is
d) the shorter the line is
I was doing my homework when I come across this question, it says "substitute each given value of the variable to find which, if any, is a solution of the inequality." what does this mean?
Answer:
Step-by-step explanation:
Perimeter (P) of the quarter circle is the curve + both sides.
Perimeter of the curve
Perimeter of the sides
2 sides = 2r
Step-by-step explanation:
Find angle x, giving your answer to 1 decimal place.
38°
х
11 cm
8 cm
Answer:
x = 55.8
Step-by-step explanation:
sinA/a + sinB/b
label any of them A (the angle) and opposite it will be a (the side)
[tex] \frac{ \sin(38) }{8} + \frac{ \sin(x) }{11} [/tex]
[tex]11 \times \frac{ \sin(38) }{8} [/tex]
(you can put ×11 the opposite area as well, it makes the same answer)
=0.84653452.....
[tex] \sin^{ - 1} (0.84653452)[/tex]
=57.83672257
Mrs. Liang said that 36%of the students in her math class earned a grade of B or higher. Which ratio represents the portion of students receiving a grade of B or higher to the total number of students in the class?
Answer:
36:45
Step-by-step explanation:
5(y +2/5) = -13
type the answer and how you got your answer and the best answer will get brainlist answer PLEASE IM BEGGING YOU TO HELP MEE
Answer:
y=-15
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
[tex]5(y + \frac{2}{5} ) = - 13 \\ 5y + 2 = - 13 \\ 5y = - 13 - 2 \\ y = \frac{ - 15}{5} \\ y = - 3[/tex]
therefore the value of y is equal to -3
pls help will mark brainliest
Answer:
80in²
Step-by-step explanation:
Hey There!
So the first step of this problem is to find the width of the scale drawing
To do so we need to find the scale factor
To find the scale factor we divide the length of the room by the length of the scale factor
32/8=4
so the scale factor is 4
now to find the width
40/4=10
so the width of the scale drawing is 10 in
now we can find the area given the length and the width
10x8=80in²
so we can conclude that the area of the scale drawing is 80in²
A rectangular painting has an area of 9.52 feet. What are three different ways in which this can happen. Give three unique length and width not using one.
Answer:
2 x 2 x 2.38
2 x 2.1 x 2.26
6 x .31 x 5.118
What is the area of the figure below?
15 in 2
20 in 2
30 in 2
25 in 2
Answer:
25 [tex]in^{2}[/tex]
Step-by-step explanation: we can move the little triangle on the side to the missing part of the square and it says the length of the little triangle is 2 so we can do 2+3 since the height of the square with the missing side is 3. then we end up with the height being 5 and the base being 5. we know that A=bh so we can do A=5x5 and get 25 in squared
pls mark me branliest!!
Answer:
25ft2
Step-by-step explanation:
1
Write the following:
a) 16 as a fraction of 152
b) 15 as a fraction of 210
Answer:
dddddweqwqq
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST IF CORRECT
A farm is to be built in the shape of Quadrilateral ABCD, as shown below. All four sides are equal.
A rhombus ABCD is shown with diagonal AC equal to 16.8 feet and diagonal BD equal to 11.9 feet
What is the area of the farm?
57.4 square feet
99.96 square feet
114.8 square feet
133.28 square feet
Answer:
99.96
but trust me I'm bad with big numbers but I think this ones right.
Answer:
99.96
Step-by-step explanation:
Solve: (x −6)−(4.5−x )= −1.5
PLZ HELP
Answer:
x=9/2 Hope this helps!
Step-by-step explanation:
Let's solve your equation step-by-step.
x−6−(4.5−x)=−1.5
Step 1: Simplify both sides of the equation.
x−6−(4.5−x)=−1.5
x−6+−1(4.5−x)=−1.5(Distribute the Negative Sign)
x+−6+(−1)(4.5)+−1(−x)=−1.5
x+−6+−4.5+x=−1.5
(x+x)+(−6+−4.5)=−1.5(Combine Like Terms)
2x+−10.5=−1.5
2x−10.5=−1.5
Step 2: Add 10.5 to both sides.
2x−10.5+10.5=−1.5+10.5
2x=9
Step 3: Divide both sides by 2.
2x/2=9/2
x=9/2
Answer is 9/2.
Triangle A has side lengths of 14 in, 12 in, and 6 in.
Triangle B has side lengths of 7 in, 6 in, and 3 in.
Which shows the proportions written correctly?
Answer:
The last one which you was on is correct.
Which expression is equal to x + (f+g)? (1 point)
Answer:
x + f(x) + g(x)
Step-by-step explanation:
(f+g) = f(x) + g(x)
Therefore, x + (f+g) = x + f(x) + g(x)
If you are given equations to go with f(x) and g(x), you would plug in those equations to the above expression then combine like terms to find the fully simplified expression equal to x + (f+g).
2. Write a function that models the relationships among x, y, and r. (Hint: Use the Pythagorean theorem.) Then solve the equation for rin terms of x and y. (3 points: 1 point for the correct Pythagorean setup, 1 point for work, 1 point for the solution
The function that models the relationships among x, y, and r is [tex]r=\sqrt{x^2+y^2}[/tex]
What is a function?"It defines a relation between input and output values.""In function, for each input values there is exactly one output."What is right triangle?"It is a triangle having one of the angle measures 90° "
What is hypotenuse?"It is the longest side of the right triangle."
What is Pythagoras theorem?"For a right triangle,
[tex]a^2+b^2=c^2[/tex], where c is the hypotenuse of the right triangle and a, b are other two sides of right triangle."
For given question,
We need to write a function that models the relationships among x, y, and r.
Consider a right triangle ABC.
where AB = x, BC = y and hypotenuse AC = r
Using Pythagoras theorem,
[tex]x^{2} + y^{2} =r^{2}[/tex]
above function defines the relationships among x, y, and r.
Now we solve above equation for 'r',
[tex]\Rightarrow r^2=x^2+y^2\\\\\Rightarrow r=\sqrt{x^2+y^2}[/tex]
Therefore, the function that models the relationships among x, y, and r is [tex]r=\sqrt{x^2+y^2}[/tex]
Learn more about function here:
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Answer:
Look below!
Step-by-step explanation:
1. What is the horizontal distance that your bridge must span to clear the ravine? (1 point)
150 feet.
2. Write a function that models the relationships among x, y, and r. (Hint: Use the Pythagorean theorem.) Then solve the equation for r in terms of x and y. (3 points: 1 point for the correct Pythagorean setup, 1 point for work, 1 point for the solution)
Pythagorean theorem—>a^2+b^2=c^2
a and b are the legs, while c is the hypotenuse.
x^2+y^2=r^2
Take the root of both sides
r=√x^2+y^2
I need help with this !
Answer: Try using calculatorsoup dot com Significant Figures auto Don't put m in the answer there's No Unit(s)
a = 12 m
b = 5 m
c = 13 m
P = 30 m
s = 15 m
K = 30 m2
ha = 5 m
hb = 12 m
hc = 4.6153846153846 m
Step-by-step explanation:
A triangle has side lengths 4.9cm 7.3cm and 8cm the angle measures are 36 degree 64° and 80°.?
1. Acute scalene
2. Acute isosceles
3. Obtuse isosceles
4. Obtuse scalene
Pls help ASAP because I need it :(
i need help! i’m not sure what’s going on
Answer:one of them is m=3/1 y=3x+10
Step-by-step explanation:i
Solve the expression
Answer:
y - 12 = 89
y - 12 + 12 = 89 + 12
y = 101
Shaun is 1.88 m tall.
David is 6 cm taller than Shaun.
How tall is David
David is 1.94 meters tall.
Given that,
Shaun is 1.88 meters tall.
David is stated to be 6 centimeters taller than Shaun.
To determine David's height, we need to add the additional height to Shaun's height.
Since there are 100 centimeters in a meter, we can convert the 6 centimeters to meters by dividing it by 100: 6 cm / 100 = 0.06 meters.
Now, we can add this height to Shaun's height to find David's height:
1.88 meters + 0.06 meters = 1.94 meters.
Therefore, David is 1.94 meters tall.
Learn more about arithmetical operations click;
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Someone please explain how to do this!!
Answer:
o because the square is not of 4