Answers
Answer:
15. 41.68 inches
16. 78.79°
Step-by-step explanation:
It's a little hard to explain in just text, but I'll try.
15 ================
This is assuming that "length" means the base of the ramp, not the top. Imagine/draw a right triangle with a 21° angle at the bottom and a height of 16 inches. We have the angle, the opposite side, and we need to find the adjacent side that is the base. Use tangent (soh cah toa) to find this.
[tex]tan(21)=\frac{16}{x} \\xtan(21)=16\\x=\frac{16}{tan(21)}[/tex]
x ≈ 41.68
16 ================
From the angle between the ladder and the ground, the ground is adjacent and the ladder is the hypotenuse. Given 2 sides and no angle, we'll use inverse cosine.
[tex]cos^{-1}(\frac{7}{36})=x\\[/tex]
x ≈ 78.79°
16) answer is 78.79 degrees
Feel free to comment if you want me to explain my work :)
Related Questions
2x-y=4
-2x+y=7
is there a solution
Answers
[tex] \text{Given : 2x - y = 4 and x + 2y = 7}[/tex]
[tex] \text{Solution : according to the question here we are provided with} \\ \text{two equations separately. So, let's name them as eq(1) and eq(2).} \\ \text{ The rest is followed as we continue to get to our goal} \\ \\ \sf {1}^{st} \: equation : \\ \quad\dashrightarrow \frak{2x - y = 4} \\ \\ \quad \dashrightarrow \frak{ \red{x = \frac{y + 4}{2} }} \qquad \sf ...eq(1) \\ \rm{ now \: \: as \:per \: our \: plan \: we \: need \: to \: get \: eq(2) } \\ \\ \sf{ {2}^{nd} \:equation} : \\ \quad\dashrightarrow \frak{ x + 2y = 7} \\ \\ \quad\dashrightarrow \frak{ \red{y = \frac{7 - x}{2}}} \qquad \sf ...eq(2) \\ \\ \text{Now, finding x and y} \\ \\ \underline{ \frak{Finding \: x}}\\ \\ \quad \hookrightarrow \frak{x = \frac{y + 4}{2}} \\ \\ \quad \hookrightarrow \frak{2x = \frac{7 - x}{2} + 4} \\ \\ \quad \hookrightarrow \frak{2x = \frac{7 - x + 8}{2}} \\ \\ \quad \hookrightarrow \frak{2x = \frac{1 - x}{2}} \\ \\\quad \hookrightarrow \frak{4x = 1 - x} \\ \\ \quad \hookrightarrow \frak{5x = 1} \\ \\\quad \star \qquad \underline{ \boxed{ \green{ \frak{x = \frac{1}{5}}}}} \\ \\ \underline{ \frak{Finding \: y}} \\ \\ \quad \hookrightarrow \frak{y = \frac{7 - x}{2}} \\ \\ \hookrightarrow \frak{2y = 7 - \frac{1}{5} } \\ \\ \hookrightarrow \frak{2y = \frac{35 - 1}{5} } \\ \\ \hookrightarrow \frak{2y = \frac{34}{5}} \\ \\ \hookrightarrow \frak{y = \frac{34}{5} \times \frac{1}{2}} \\ \\ \hookrightarrow \frak{y = \frac{17}{5} } \\ \\ \star \qquad \underline{ \boxed{ \frak{ \green{y = 3 \frac{2}{5} }}}}[/tex]
As Sandra drives, her music player randomly selects music from her playlist. Sandra’s playlist contains:
3 traditional country songs
6 traditional rock songs
4 hip-hop rap songs
5 contemporary country songs'
1 Latin rap song
3 traditional pop songs
What is the probability that the player will select some rap music next?
Answers
Answer:
the probability will be 18.18%
aaaaaaaaaaaaaaaaaaaaa
use properties of logarithms to condense logc Yc X
Answers
Write the Equation
Equation
X Y
-2 5
-1 3
0 1
1 -1
y=-X+2
y=x+2
y=2x+1
y-2x+1
Answers
Answer:
y=-5×+13
Step1 inter change ×gy
One thousand families were surveyed to
determine the distribution of families by size. The
results follow.
Family Size 2
3
4
5 6 7 8
Frequency
350
200 245 125
66
10
To the nearest percent, the probability that a given
family has 3 people is [? ]%.
Answers
Answer:
Step-by-step explanation:
probability of an event: number of events that satisfy the criteria/ total number of events
number of events that satisfy the criteria (in this case the number of families with three people)= 200
total number of events= 1000
200/1000= 20%
What is the length of the radius of a circle if the equation for the circle is (x + 2)2 + (y - 9)2 = 22.09?
Answers
Answer:
The radius is 4.7 units.
Step-by-step explanation:
To answer this we need only find the square root of 22.09: 4.7
The radius is 4.7 units.
What is an equation in point-slope form for the line that passes through the points (4,-1) and (-3,4)?
y-3= (x+4)
y–4= (x+3)
y+4= (x+3)
y+4= (x+3)
Answers
Events A and B are disjoint. Find P(AorB) when P(A) = 0.55 and P(B) = 0.2
P (A or B)=
Answers
Answer:
0.75 = P(A or B)
Step-by-step explanation:
Since the events are disjoint, we can find the probability of one or the other occurring merely by adding P(A) and P(B): 0.55 + 0.2 = 0.75 = P(A or B)
What is the inverse of the function f(x) =√x-2
Answers
Keith wants to buy an IPad for $500. He wants to earn enough money delivering pizzas to cover at least two-fifths of the cost.
Part A.
If he earns $12.50 per hour at work, write an inequality that represents how many hours Keith's needs to work
Part B
Solve your inequality? Justify your answer.
Answers
Answer:
Step-by-step explanation:
500 / 5 = 100 (that's 1 fifth, so 2 fifths will be 200)
200 / 12.5 = 16 (he will have to work 16 hours to get $200)
the inequality would be:
x * 12.5 >= 500 * 0.4 (something like that)
"15 is always equal to the product of a number and 5" translates to a mathematical equation.
O True
O False
Answers
Answer:
This is True
Step-by-step explanation:
I know this because it is like dividing you just divide 15 by 5 and the it will be equal
(3x+8)(x+4)
Expand and simplify
Answers
Answer:
Step-by-step explanation:
(3x+8)(x+4), distribute 3x over the second parenthesis first and then the 8
3x² + 12x + 8x + 32 , combine like terms
3x² + 20x + 32
Answer:
3x^2 + 20x + 32
Step-by-step explanation:
Distribute 3x over the second parenthesis first and then the 8.
#CarryOnLearning
Between what two whole numbers is 5/6 located on the number line? help please!
Answers
Answer:
Hello there!
5/6 is located between 0 and 1.
Step-by-step explanation:
5/6 is less than 1, because 1 = 6/6 in this scenario.
At the same time, it's greater than 0!
5/6 is located between 0 and 1 on the number line!
kate has $2.95 in quarters and nickels and the total number of ocins is 23 how many quarters and how many nickels does kat have
Answers
Answer: 9 quarters and 14 nickels
Step-by-step explanation:
9*25=225
14*5=70
225+70=295
The total number of nickels is 14 and the total number of quarters is 9 and this can be determined by forming the linear equation.
Given :
kate has $2.95 in quarters and nickels and the total number of coins is 23.
The following steps can be used in order to determine the total number of quarters and nickels Kat have:
Step 1 - Let the total number of quarters be 'x' and the total number of nickels be 'y'.
Step 2 - Remember one quarter is equal to $0.25 and one nickel is $0.05.
Step 3 - The total amount of money Kat has:
0.25x + 0.05y = 2.95 --- (1)
Step 4 - Total number of coins is given by:
x + y = 23
x = 23 - y --- (2)
Step 5 - Substitute the value of 'x' in equation (1).
0.25(23 - y) + 0.05y = 2.95
5.75 - 0.25y + 0.05y = 2.95
2.8 = 0.20y
y = 14
Step 6 - Now, substitute the value of 'y' in equation (2).
x = 23 - 14
x = 9
So, the total number of nickels is 14 and the total number of quarters is 9.
For more information, refer to the link given below:
https://brainly.com/question/11897796
The graph f(x)=(x+2)^2-7is translated 5 units left, resulting in the graph g(x). Which equation represents the new function, g(x)?
Answers
Answer: G(x)=(x-3)^2-7
Step-by-step explanation: Translated 5 units to the left is a negative change and a change in the X axis
The equation represents the new function, g(x) will be G(x)=(x-3)²-7. The correct option is A.
What is translation?The process of changing the location of the image on the coordinate system will be known as the translation. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
It is given that the graph f(x)=(x+2)²-7 is translated as 5 units left, resulting in the graph g(x).
Translated 5 units to the left are a negative change and a change in the X axis. The graph is also attached with the answer below.
The equation represents the new function, g(x) will be G(x)=(x-3)²-7.
To know more about translation follow
https://brainly.com/question/12861087
#SPJ5
Which figure best demonstrates the setup for the box method of finding the area of a triangle? On a coordinate plane, a triangle is shown. A rectangular box is drawn around the triangle and share 2 sides with the triangle. On a coordinate plane, a triangle is shown. A rectangular box is drawn around the triangle and the 3 points of the triangle touch the sides of the box. The box is 2 units larger than one side of the triangle. On a coordinate plane, a triangle is shown. A rectangular box is drawn around the triangle and all 3 points of the triangle are on the sides of the box. On a coordinate plane, a triangle is shown. A rectangular box is drawn around the triangle and 2 points of the triangle are on the box.
Answers
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The answer is C in Edge. Just took the assigment. Hope this helps! :)
What is the quotient of 4/5÷1/3
Answers
The quotient of a division, is the result of the division, for example, 3 divided by 3, the result is 1, that is the quotient.
[tex]\sf \displaystyle \sf \frac{4}{\:5}\div \frac{1}{3}\\\\\\\sf \frac{4}{5}\times \frac{3}{1}\\\\\\\sf \frac{4\times \:3}{5\times \:1}\\\\\\\sf \frac{12}{5\times \:1}\\\\\\\sf \frac{12}{5}\approx\boxed{\sf 2,2\ll Quotient}[/tex]
Okay?!Louise spins the spinner twice. Which probabilities are correct? Check all that apply.
Answers
Benny has a baseball card collection he has 13,789 cards he wants to put the card in a scrapbook that holds 15 cars on a page how many pages does Denny need in his scrapBook.
Answers
Answer:
920 pages
Step-by-step explanation:
Divide 13,789 by 15, you should get 919.27 so just round up so you can hold all the cards.
The weight of a full steel bead tire is approximately 800 grams, while a lighter wheel weighs only 700 grams. What is the weight of each tire in pounds? There are 453.592 grams in one pound. Round answers to 2 decimal places.
800 grams = (How many?)
pounds
700 grams = (How many?)
pounds
Answers
Answer:
Here they are unrounded
800 grams = 1.7637
700 grams = 1.54324
Step-by-step explanation:
Hope this helps
Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x - 5)?
-
o
-5
-4
-3
-1
0
1
2
3
4
5
f
.
-5
-4
-3
-2.
-1
o
3
o
1
2
4
5
+
+
-4
-5
-3
-2
-1
+
1
o
+
2.
+
3
+
4
5
Ол
O
3
-5
-4
-3
-2
-1
o
1
2.
3
4
5
Answers
Answer:
3 8-4× less than 6 ×-5 and then you solve the equation
What is the geometric mean of
1. 16 and 27
2. 24 and 32
3. 5 and 36
4. 8 and 48
Answers
Answer:
1. 12√3
2. 16√3
3. 6√5
4. 8√6
Step-by-step explanation:
To find the geometric mean of n numbers multiply the numbers and then take the nth root.
For two numbers n = 2
it's the square root of the product
√(16 * 27)
√432
12√3
√(24 * 32)
√768
16√3
√(5 * 36)
√180
6√5
√(8 * 48)
√384
8√6
En una panadería, con 80 kg de harina hacen 120 kg de pan. ¿Cuántos kilos de harina serían necesarios para hacer 360 Kg de pan?
Answers
Answer:
240 kg
multiplica 360 con 80 y luego dividelo por 120. Que equivale a 240, o divide 120 por 80 que te da 1.5 y multiplicalo por 240 que equivale a el total 360 Kg
A hot air balloon is at an elevation of 425 feet. It descends 110 feet what is the elevation of the balloon?
Answers
Answer:
315
425 + -115 = 315 feet
Step-by-step explanation:
Answer:
The balloon will be at an elevation of 315 feet.
Step-by-step explanation:
425-110=315
2. If triangle ABC is congruent to triangle DEF by SAS, AB=DE,
Answers
Answer:
I can't Respond since I have no picture to help you or me
Step-by-step explanation:
Without the Picture I can't determine if the triangle ABC is congruent to triangle DEF by SAS, AB=DE
PLEASE HURRY THIS IS TIMED !!!!
Answers
Answer:
c
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Does anyone know this?
Answers
Answer:
△RED~△TAN
Step-by-step explanation:
Both triangles are similar, even if they have different sizes. They still retain the same degrees.
Proof: Angle RED
180 - 110 - 28 to find m∠E.
m∠E = 42
m∠A = 42
m∠E = m∠A
Jack and Jill, trying to do math and chill, when they ran into a problem. They can't agree on what the answers should be, so now it's up to you to solve them.
In class, Jack thought as Jill she sought solve an absolute value... she removed the sign from her negative nine and said "the problem should be just about through".
But Jack he said, "no Jill you misread, the negative is on the outside". Still Jill didn't budge, so you be the judge, does this mean that the teacher lied?
Here's the problem Jack and Jill are trying to solve: -|9| = ?Jack thinks the answer is -9, because the negative is outside the absolute value signs. Jill thinks the answer is 9, because the teacher said absolute value is always positive.
Who is right and why? Explain your steps using sentences.
Answers
Answer:
-9
Step-by-step explanation:
the teacher was right
Consider the line y=6/7 x -7. Find the equation of the line that is perpendicular to this line and passes through the point (6,-6). Find the equation of the line that is parallel to this line and passes through the point (6,-6) .
Answers
Answer:
[tex]y= -\frac76x +1[/tex]; [tex]y= \frac67x -\frac{78}7[/tex]
Step-by-step explanation:
We know from theory that two perpendicular lines have the product of their slope equal to -1. Let's find the second slope:
[tex]\frac67m = -1 \rightarrow m=-\frac76[/tex]
At this point we can just use the slope-point equation to get our first line:
[tex]y-y_0 = m(x-x_0)\\y-(-6) = -\frac76(x-6) \\y+6= -\frac76x +7\\y= -\frac76x +1[/tex]
Now, we know that two parallel lines have the same slope. Time to apply the same point-slope formula, with the original m this time.
[tex]y-(-6) = \frac67(x-6)\\y+6 = \frac67x -\frac{36}7\\y= \frac67x -\frac{36}7 -{\frac{42}7[/tex]
[tex]y= \frac67x -\frac{78}7[/tex]
Nothing, never wanted to post a question on here