Complete question is;
A 21 ft ladder is leaning against a tall wall with the foot of the ladder placed at 7 feet from the base of the wall and the angle of elevation is?
Answer:
θ = 70.5°
Step-by-step explanation:
The angle of elevation simply means the angle that the ladder makes with the ground. Let's call this angle θ.
I've attached a diagram showing the triangle made by this ladder and the wall.
From the attached diagram, we can see the triangle formed by the ladder and the wall.
We can find the angle of elevation θ from trigonometric ratios.
Thus;
7/21 = cos θ
cos θ = 0.3333
θ = cos^(-1) 0.3333
θ = 70.5°
Andrew spent $45.45 on two shirts that were the same price and a pair of pants. If the pants were $16.99, how much was each shirt?
Answer:
22.72
Step-by-step explanation:
45.45 divided by 2 is 22.725
Answer:
$14.23
Step-by-step explanation:
$45.45 - $16.99 ( pants ) = $28.46
$28.46 / 2 (since 2 shirts)
$14.23 for both shirts!
josh earned $30,000 last year if the tax rate was 15%,how much money can he keep after taxes
Answer:
25500
Step-by-step explanation:
15% of 30000 is (multiply 30000 by .15 to get this) 4500
Subtract 4500 from 30000 and you got the answer
The notebook shows the money Lisa earned and spent on her first day selling kale at the
Farmers' Market. A positive number represents money earned. A negative number represents
money spent. Lisa wants to find her profit for the first day.
Answer:
Step-by-step explanation:
7 + (-5)= 2
Translate the mathematical sentence into an equation. **You do NOT have to solve it**
The difference between six, and a number divided by four is sixteen
Answer:
'The difference between six, and a number divided by four is sixteen' will be translated into an equation such as:
[tex]\frac{6\:-\:x}{4}=16[/tex]Step-by-step explanation:
Let 'n' be the number
The difference between six and a number 'n' is written in an algebraic expression such as:
[tex]6 - x[/tex]
[tex]6-x[/tex] is obtained by 'subtracting, starting with 6'.Dividing 6-x by 4 will become:
[tex]\frac{6\:-\:x}{4}[/tex]so the sentence the difference between six, and a number divided by four is sixteen will become:
[tex]\frac{6\:-\:x}{4}=16[/tex]Therefore, 'The difference between six, and a number divided by four is sixteen' will be translated into an equation such as:
[tex]\frac{6\:-\:x}{4}=16[/tex]All 40 turkeys are in a pen. 1/4 are sleeping. 1/8 are eating, and 5/8 of them are hiding from the butcher. How many are sleeping How many are eating How many are hiding
Answer:
[tex]Sleeping = 10[/tex]
[tex]Eating = 5[/tex]
[tex]Hiding =25[/tex]
Step-by-step explanation:
Given
[tex]Turkey = 40[/tex]
[tex]Sleeping = \frac{1}{4}[/tex]
[tex]Eating = \frac{1}{8}[/tex]
[tex]Hiding = \frac{5}{8}[/tex]
Required
Determine the number in each category
To solve this, we simply multiply each fraction by the total number of turkey:
[tex]Sleeping = \frac{1}{4} * 40[/tex]
[tex]Sleeping = \frac{40}{4}[/tex]
[tex]Sleeping = 10[/tex]
[tex]Eating = \frac{1}{8} * 40[/tex]
[tex]Eating = \frac{40}{8}[/tex]
[tex]Eating = 5[/tex]
[tex]Hiding = \frac{5}{8} * 40[/tex]
[tex]Hiding = \frac{200}{8}[/tex]
[tex]Hiding =25[/tex]
Convert 15°C to Fahrenheit. Use the formula F = C + 32
A. 33°F
B. 27°F
C. 85°F
D. 59°F
Using the equation given, F = 15 + 32 which equals 47, so I don't see how any of the choices are accurate, but if I had used the proper equation, I would get 59 Farenheit or answer D!
Hope this helps, if not, comment below please!!!
To make homemade whipped cream the recipe calls for 1 ½ C of heavy cream, 1 ¼ t of vanilla, and 1 t. of sugar. This amount of whipped cream would be enough to cover one pie. If K makes 6 pies and covers them with whipped cream, how many teaspoons of vanilla will he need?
Answer:
7 1/2 teaspoons of vanilla
Step-by-step explanation:
From the above question,
The whipped cream for 1 pie contains
1 1/4 teaspoon of vanilla
Hence:
1 pie = 1 1/4 teaspoon of vanilla
6 pies = x
Cross Multiply
x = 6 × 1 1/4
x = 6 × 5/4
x = 30/4
x = 7 2/4
x = 7 1/2 teaspoons of vanilla
Hence: If K makes 6 pies and covers them with whipped cream, he would be needing 7 1/2 teaspoons of vanilla
Maria wants to buy a new phone researching realized that the best price and 147.86 US dollars at the time of purchase it still achieved a 10% discount which and the amount paid by maria already with the discount
put the math account please
Answer:
0.6763154335
Step-by-step explanation:
because. 10%is the same as 10 over 100 .because percent means 100. so you say 100÷10=10. then you say 10×14.786. this is how I got the answer.
HELPP
Lacey was looking at some data on World Cup soccer matches. She noticed a negative linear relationship
between the number of fans attending a match and the number of total goals scored in that match. Here is
computer output from a least-squares regression analysis for using attendance (in thousands of fans) to predict
the total number of goals scored:
Predictor
Coef
SE Coef
T
P
Constant
3.260
0.145
22.535
0.000
Attendance (thousands)
-0.009
0.003
-3.330
0.001
Use this model to predict the total number of goals scored in a match with 90 thousand fans in attendance.
You may round your answer to the nearest whole number of goals.
goals
Answer:
the answer is 2
Step-by-step explanation:
this was a question on my test on khan academy :D
88th term of the sequence 4,-1,-6
Answer:
-431
Step-by-step explanation:
4-5=-1 -1-5= -6 common difference is -5 and start at 4 to get 88th term which is -431
How many isosceles triangles are in a rectangle
Answer
i'm not sure 2?'??????????
Last year, Pinwheel Industries introduced a new toy. It cost $ 4 , 300 to develop the toy and $ 25 to manufacture each toy. Fill in the blanks below as appropriate. A.) Write a linear equation in the form C = m n + b that gives the total cost, C , to produce n of these toys:
Answer:
C=25n+4300
Step-by-step explanation:
Given that,
Last year, Pinwheel Industries introduced a new toy. It cost $4 ,300 to develop the toy and $25 to manufacture each toy.
We need to write a linear equation in the form C=mn+b that gives the total cost, C, to produce n of these toys.
Here, m will be cost for each toy and b is the cost to develop each toy. So,
C=25n+4300
Hence, this is the required solution.
The sum of 4 and Janelle's height is 88
Answer:
So her height would be 84
Step-by-step explanation:
Which describes the correct procedure when converting a number from scientific notation to standard notation if the power of 10 is -10? A .Move the decimal point to the left. B. Move the decimal point to the right. C. Move the decimal point to the right. D. Subtract 20 from the number.
Answer:
A. Move the decimal point to the left
Step-by-step explanation:
Given that:
The scientific notation = 10⁻¹⁰
Let recall;
That the standard notation usually took the form of an inverse:
For example;
Let say 10⁻¹ will be [tex]\dfrac{1}{10}[/tex] in scientific notation;
SO, [tex]\dfrac{1}{10} = 0.1[/tex]
Now; we are given 10⁻¹⁰ as a scientific notation,
To standard notation, we get:
[tex]10^{-10} = \dfrac{1}{100}[/tex]
= 0.01
Thus, it is true to say that the decimal point will be moved to the left side when converting a number from scientific notation to standard notation if the power of 10 is -10.
Y-Value
What is the range of the relation?
{(4, 5), (2,9), (1,8), (6,5), (2, 9)}
A.{5, 8, 9}
B.{5, 8}
C.{1, 2, 4, 6)
D.{1, 2, 4, 5, 6, 8, 9)
I need the answer ASAP please
Answer:
Remainder → (76)
Step-by-step explanation:
Given function;
f(x) = x² - 5
f(x) = x² + 0.x - 5
We have to divide this function by expression (x + 9).
x + 9) x² + 0.x - 5 (x - 9
x² + 9x
- 9x - 5
- 9x - 81
76
Therefore, by dividing the function 'f' by (x + 9) remainder is (76).
What is the slope of у= 3х — 9
Answer:
3
Step-by-step explanation:
We can recognize this equation as a linear equation, which is given by the following formula:
[tex]y=mx-b[/tex], where m is the slope and b is the y-intercept.
Thus, we see that 3 is the slope, and 9 is the y-intercept.
4+ -1 2/3 please help
The sum would end us as: 2.33333333
Answer:
Step-by-step explanation:
step 1: 4+ -1 2/3
Step 2: 4-1 2/3
Step 3 12/3- 5/3 common denominator required during addition or subtraction
Step 4: 7/3 or 2 1/3 simplify
When Jack started his job working for an industrial manufacturing company, he contributed $100
at the end of each month into a savings account that earned 1.2 % interest compounded monthly
for 8 years. At the end of the 8
th year, Jack was laid off. To help meet family expenses, Jack
withdrew $285 from the savings account at the end of each month for 2 years. At the end of the
second year of being unemployed, Jack found another job and started contributing $138 back into
the savings account at the end of each month for the next six years. How much money would he
have in the account at the end of the six years (after returning to work)?
Answer:
Problem 4 If the point (2, 2) is in the feasible set and the vertices of the feasible sct are (0,0), (0, 12). (6,18). (14, 16), and (18, 0), then determine the system of linear inequalities that created the feasible set. Show all the work that led you to you answer. (10 points) Problem 5 When Jack started his job working for an industrial manufacturing company, he contributed $100 at the end of each month into a savings account that earned 1.2 % interest compounded monthly for 8 years. At the end of the year, Jack was laid off. To help mect family expenses, Jack withdrew $285 from the savings account at the end of each month for 2 years. At the end of the second year of being unemployed, Jack found another job and started contributing $138 back into the savings account at the end of each month for the next six years. How much money would he have in the account at the end of the six years (after returning to work)? You may use the TVM Solver. Show all the necessary work that you need perform to arrive at the answer. (10 points)
Problem 5 When Jack started his job working for an industrial manufacturing company, he contributed $100 at the end of each month into a savings account that earned 1.2 % interest compounded monthly for 8 years. At the end of the 8th year, Jack was laid off. To help meet family expenses, Jack withdrew $285 from the savings account at the end of each month for 2 years. At the end of the second year of being unemployed, Jack found another job and started contributing $138 back into the savings account at the end of each month for the next six years. How much money would he have in the account at the end of the six years after returning to work)? You may use the TVM Solver. Show all the necessary work that you need perform to arrive at the answer. (10 points)
How can you use the distributive property to rewrite a quadratic expression in order to reveal its factors and zeros
Answer:
(x-rooot1)(x-root2)
Step-by-step explanation:
a quadratic ax²+bx+c=0 can be factor as those 2 pharanthesis
(x-rooot1) (x-root2)=0
and you can find the roots by making each parenthesis equal to 0 because of the zero product rule
x-root1 = 0, x=root1
x-root2 =0, x=root2
slope of points (-11,5), (-6,0)
There are 30 students in Mrs. Martinez's class.
1/5 of the class has an Android cell phone.
1/2of the class has an iPhone.
The rest of the students do not have a cell phone.
How many students in Mrs. Martinez's class DO NOT have a cell phone?
A 6 students
B 21 students
C 9 students
D 15 students
2(7z + 4) im confused abt this nothing hard
Answer:
[tex]14z+8[/tex]
Step-by-step explanation:
[tex]2(7z+4)\\\\\boxed{14z+8}\\\\\left \{ {{2*7z=14z} \atop {2*4=8}} \right.[/tex]
Hope this helps.
A shoe store uses a 40% markup for all of the shoes it sells. What would be the selling price of a
pair of shoes that has a wholesale cost of $67?
Answer:
$93.8
Step-by-step explanation:
(*markup is an increase in price)
67 + ( 40% × 67 )
= 67 + ( 40/100 × 67/1 )
= 67 + 26.8
= 93.8
......................................................................................
Graphing two-variable linear equalities
Answer:
What is the problem so we can help you
A student finished 45 homework problems in class.If the ratio of problems she finished to problems she still had left was 9:4 how many homework problems did she have total
Answer:
so in total, I believe that it would be.......65?
Step-by-step explanation:
well 45/9=5 and so you would have to multiply 4x5 and get 20
What is the rectangular form of 17(cos(315°) + isin(315°))?
The value of the expression 17[cos(315°) + isin(315°)] will be (17√2 / 2) – (17√2 / 2)i. Then the correct option is A.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The rectangular form of 17(cos(315°) + isin(315°)).
We know that the value of cos 315° and sin 315°.
[tex]\sin 315^o = \dfrac{-1}{\sqrt2}\\\cos 315^o = \dfrac{1}{\sqrt2}[/tex]
Then the value of the expression will be
⇒ 17[(1/√2) – (1/√2)i]
⇒ (17√2 / 2) – (17√2 / 2)i
Then the correct option is A.
More about the trigonometry link is given below.
https://brainly.com/question/22698523
#SPJ2
Answer:
A
Step-by-step explanation:
The state of Colorado covers about 1.04 x 10^5 square miles. The Indian Ocean covers about 2.808 x 10^7 square miles. How many times bigger is the Indian Ocean than Colorado?
Answer:
27976000
Step-by-step explanation:
1.04 x 10^5=104000, and 2.808 x 10^7=28080000
28080000-104000=27976000
that's what I think, did this help
John uses 1 2 3 cups of milk to make a sauce recipe, and then uses 2 1 4 cups of milk to make a cake recipe. How much milk did he use in total to make the two recipes?
Answer:
3.91
Step-by-step explanation:
It is given that,
John uses [tex]1\dfrac{2}{3}[/tex] cups of milk to make a sauce recipe, and then uses [tex]2\dfrac{1}{4}[/tex] cups of milk to make a cake recipe.
We need to find how much milk did he use in total to make the two recipes. It can be calculated by simply adding [tex]1\dfrac{2}{3}[/tex] cups of milk and [tex]2\dfrac{1}{4}[/tex] cups of milk. So,
[tex]T=1\dfrac{2}{3}+2\dfrac{1}{4}\\\\=\dfrac{5}{3}+\dfrac{9}{4}\\\\=3.91[/tex]
So, she will need 3.91 units of milk to make the two recipes.
PLEASEEEEE HELPPPPPP ASAPPPPP
The correct answer is 9 or option D:)
bro this is eazy if i get it right give me brainliest
Answer: 9