Answer:
Step-by-step explanation:
The engineer can use a clinometer to measure the angle of elevation of the top of the tree. Let the height of the tree be represented by x, the she could determine the distance across the river, d, by applying the trigonometric function.
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
= [tex]\frac{x}{d}[/tex]
the the distance, d = x ÷ Tan θ
Assume the angle of elevation of the top of the tree is [tex]30^{o}[/tex], and the height of the tree is 10 m, then the distance, d, across the river would be;
d = [tex]\frac{10}{0.5774}[/tex]
= 17.3190
d = 17.32 m
The sketch to the explanation is attached to this answer for more clarification.
Divide 360 in the ratio 1:7
Answer: 45:315
Step-by-step explanation:
what is-12x + 16 – 4x = -112
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
First, I wanna point out a minor mistake, are we supposed to figure out x?
If we are, let's start.
[tex]-12x+16-4x=-112.[/tex]
We don't need the [tex]16.[/tex]
We subtract the 16 from both sides.
SImplify, =[tex]16x=128[/tex]
Also, group like terms, and add similar elements.
Answer:
x = 8
Step-by-step explanation:
-12x + 16 - 4x = -112
Combine like terms on the left side.
-16x + 16 = -112
Subtract 16 from both sides.
-16x = -128
Divide both sides by 16.
x = 8
Check:
-12x + 16 - 4x =
= -12(8) + 16 - 4(8)
= -96 + 16 - 32
= -80 - 32
= -112
-112 = -112
x = 8 is correct.
Answer: x = 8
1. The vertical fence posts are 5 feet tall. The diagonal pieces are 9 feet. How far
apart should the fence posts be placed?
Answer:
Distance between fence and diagonal piece = 7.48 feet (Approx.)
Step-by-step explanation:
Given:
Vertical fence height = 5 feet
Length of diagonal piece = 9 feet
Find:
Distance between fence and diagonal piece
Computation:
Using trigonometry theorem;
Base = √Hypotenuse² - Perpendicular²
Distance between fence and diagonal piece = √Length of diagonal piece² - Vertical fence height²
Distance between fence and diagonal piece = √9² - 5²
Distance between fence and diagonal piece = √81 - 25
Distance between fence and diagonal piece = √56
Distance between fence and diagonal piece = 7.48 feet (Approx.)
???????????????????????????????????????????
Answer:
Uh dude their are no questions??
Step-by-step explanation:
Which type of sides are they and explain why they’re the correct answer!
Answer:
SAS.
Step-by-step explanation:
They are congruent by 2 sides and the included angle
Divide. Round to the nearest tenth.
5.1)
104
Answer: 104
Step-by-step explanation:
Help pls and no links
Answer:
C) 4/(x+y)²
Step-by-step explanation:
start by expanding so it is written as 2÷(x+y)/(x+y)÷2.
Then rearrange so that it is 2×2/(x+y)×(x+y) or 4/(x+y)²
You wash 12 cars on Friday and 10 cars on Saturday for our fund-raiser you were also given a $40 donation from somebody who didn't want a car wash if you raised a total of $370 how much money did you earn per car wash
Answer:
$15
Step-by-step explanation:
370-40=330
12+10=22
330÷22=15
15*22=330
87654x0987
Would anyone like to r p with me??
Answer:
Answer is 86514499
Hope you like my answer
Answer:
hello how have u been?
Step-by-step explanation:
What is another way that you could write the ratio of pennies to quarters?
Answer:
1/100 to 25/100
or
0.01 to 0.25
Step-by-step explanation:
Pennies are also known as one per cent. Cent refers to 100 and pennies are called one per cent because they value 1 out of 100. 100 pennies equal one dollar.
Similarly, one quarter is 1/4 of a dollar and 1/4 equals 25/100 when multiplying the numerator and denominator by 25.
Help lol easy
You are having a bake sale and selling cupcakes. It cost you $.15 to make each cupcake. If you sold each cupcake for $1.00, what would your profit be on each cupcake?
Answer:
0.85 DOLLARS
Step-by-step explanation:
please and thank you!
Answer: ALALALALALALA
Step-by-step explanation: PAAPAPPAPAPAPPAPAPAPAPA
the first second and third bases on a baseball field are square cavas bags that each have an area of 225 square inches. what is the length of each base
Answer:
length = 15 in
Step-by-step explanation:
length = √225 = 15 in
(IN SPANISH)
NEED AN AWNSER ASAP THANK YOU.
Decrease 117kg in the ratio 10:13
Answer:
50.87 : 66.13.
Step-by-step explanation:
10/(10+13) * 117
= 10 * 117 / 23
= 50.87.
117 - 50.87 = 66.13.
When 117 kg is decreased in 10:13, then it is partitioned in two parts, first part being of 50.87 kg and second part being of 66.13 kg approximately.
What is ratio of two quantities?Suppose that we've got two quantities with measurements as 'a' and 'b'
Then, their ratio(ratio of a to b) a:b or [tex]\dfrac{a}{b}[/tex]
We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).
Suppose that we've got a = 6, and b= 4, then:
[tex]a:b = 6:2 = \dfrac{6}{2} = \dfrac{2 \times 3}{2 \times 1} = \dfrac{3}{1} = 3\\or\\a : b = 3 : 1 = 3/1 = 3[/tex]
Remember that the ratio should always be taken of quantities with same unit of measurement. Also, ratio is a unit-less(no units) quantity.
Therefore, suppose the given 117 kg of amount is divided in two parts viz [tex]x \: \rm kg[/tex] and [tex]y \: \rm kg[/tex] having ratio as 10:13
Then, we get two equations as:
[tex]x + y = 117[/tex]
[tex]\dfrac{x}{y} = \dfrac{10}{13}[/tex]
From the second equation, we get x in terms of y as:
[tex]\dfrac{x}{y} = \dfrac{10}{13}\\\\\text{Multiplying y on both the sides}\\\\x = \dfrac{10y}{13}[/tex]
Putting this value of x in first equation, we get:
[tex]x + y = 117\\\\\dfrac{10y}{13} + y = 117\\\\\dfrac{10y + 13y}{13} = 117\\\\23y = 117 \times 13\\y = \dfrac{1521}{23} \approx 66.13[/tex] (in kg)
And therefore, from the expression for x, we get:
[tex]x = \dfrac{10y}{13} \approx \dfrac{10 \times 66.13}{13} \approx 50.87[/tex] (in kg)
Thus, when 117 kg is decreased in 10:13, then it is partitioned in two parts, first part being of 50.87 kg and second part being of 66.13 kg approximately.
Learn more about ratio here:
brainly.com/question/186659
Mark runs to catch a ball. Explain how the structure of muscle tissue helps him perform this function
Answer:
Muscles give structure and power for any kind of movement, so the tissue needs to be flexible and tightly packed for movement. The tight bands of tissue shown in the picture allows this movement to occur.
Step-by-step explanation:
By running your muscles can get stronger in power so it gives you a better chance to catch the ball with your speed and strength.
Answer:
Muscles give structure and power for any kind of movement, so the tissue needs to be flexible and tightly packed for movement. The tight bands of tissue shown in the picture allows this movement to occur.
Step-by-step explanation:
Edmentum Answer
70% of the books on a bookshelf are English books. If there are 35 English books on the bookshelf, find the number of books on the bookshelf.
Answer:
I'm pretty sure it would be 50 books on the shelf
$60 invested at 7% compounded continuously after a period of 2 years, after 2 years the investment results in?
Answer: 8.40 dollars worth of intrest
Step-by-step explanation:
Charlie deposits $1,000 on the first day of each year into his investment account. The
account grows at a rate of 8 percent per year. To the nearest dollar, how much money will
be in the account on the first day of the 11th year?
$16,645
$14,487
$1.087
$18.977
Answer:
The answer is $16,645
Step-by-step explanation:
An image has point W'(7,-3), and the pre-image has point W(21,-9). This is an enlargement
True or False
Answer:
true
Step-by-step explanation:
Answer:
FALSE!
Step-by-step explanation:
brainliest would be appreciated (wink wink)
Ciara drives an average of 43.6 miles per week
Work out an estimate for the number of miles Ciara drives in a year.
Answer:
About 2288 miles
Step-by-step explanation:
43.6 rounded is 44. There are 52 weeks in a year. Therefore, 44x52 equals about 2288
Number 16 please help 10 points no links pleAse
What is the 22nd term of the arithmetic sequence 12 , 17 , 22 , 27 , .... , .... , ....
Answer: 117
Step-by-step explanation:
Formula for arithmetic sequence is:
= a + (n - 1)d
22nd term = a + (n - 1)d
= a + (22 - 1)d = a + 21d
where, a = 12
d = 17 - 12 = 5.
Therefore, 22nd term will be:
= a + 21d
= 12 + 21(5)
= 12 + 105
= 117
The 22nd term is 117
(WILL GIVE BRAINLIEST TO EVERY QUESTION ANSWERED ON MY PROFIL) Debra Goforth’s savings account shows a balance of $904.31 on March 1st. The same day, she made a deposit of $375 to the account. She also made deposits of $500 on April 1st and May 1st. The bank pays an annual interest rate of 5.5 percent. Use your Compounded Daily chart to calculate the amount in her account on May 29th.
Answer:
$4625.10
Step-by-step explanation:
Her account already had $904.31
You now need to add $375.
Then add $500 twice.
Because of how banks work, we need to find out how much they pay monthly. There are 12 months in a year. 5.5 divided by 12 is 0.45.
45% of 1279.31 is 575.68
Now we add the $575.68 to $1279.31
April is a new month and she deposited $500.
45% of 1854.99 is 834.74
Add $834.74 to $1854.99
Then she deposits 500 on May, another new month.
I think this step is obvious. Just follow what you did last time.
This leaves her with $4625.10
The function g(x) is a translation of f(x) = (x + 3)2 – 10. The axis of symmetry of g(x) is 5 units to the right of f(x) . Which function could be g(x)?
g(x) = (x – 2)2 + k
g(x) = (x + 8)2 + k
g(x) = (x – h)2 – 5
g(x) = (x – h)2 – 15
Answer:
a.
g(x) = (x – 2)2 + k
Step-by-step explanation:
The function that could be g(x) is (a) g(x) = (x - 2)^2 + k
How to determine the function?The function f(x) is given as:
f(x) = (x + 3)^2 - 10
The axis of symmetry of g(x) is 5 units to the right of f(x).
This means that:
g(x) = f(x - 5)
So, we have:
f(x - 5) = (x - 5+ 3)^2 + k
Evaluate the difference
f(x - 5) = (x - 2)^2 + k
Substitute g(x) = f(x - 5)
g(x) = (x - 2)^2 + k
Hence, the function that could be g(x) is (a) g(x) = (x - 2)^2 + k
Read more about axis of symmetry at:
https://brainly.com/question/15709421
#SPJ9
(12x5+3x25)-8
12x5=60
3x25=75
60+75=135
135-8=127
Answer:
127
Step-by-step explanation:
Pls pls helppp and thank youuu
Answer:
Kids
Step-by-step explanation:
Because 62 percent of the kids preferred pencil when only 43 percent of the adults preferred pencils.
Colton is going to invest in an account paying in interest rate of 6.3% compounded continuously how much wood coating need to invest to the nearest dollar for the value of the account to reach 22,700 in 16 years
Answer:
8284
Step-by-step explanation: I had the same question
PLZ HURRY WHAT IS 1+1
Answer:
2
Step-by-step explanation:
Answer:
2 is your answer!
Hope it helps!!!
Help me please!!!!!!!!!!!!
Answer: +9,+5
Step-by-step explanation: