The special right triangle is the right triangle that have acute angle values
that simplify the process of finding its dimensions.
The correct values are;
1. The angle the ladder makes with the ground, is approximately 66.93°
2. The length of YZ is approximately 19.18 ft.
3. CB = 7 ft. and AB = 7·√3 ft.
Reasons:
1. The length of the ladder = 15 ft.
Height of the ladder above the ground, h = 13.8 ft.
Required:
The angle the ladder makes with the ground.
Solution:
The angle the ladder makes with the ground is given by the equation;
[tex]sin(\theta) = \dfrac{Length \ of \ the \ ladder}{Height\ of \ the \ ladder \ above the \ ground} = \dfrac{13.8}{15} = 0.92[/tex]
[tex]\theta = arcsin\left(0.92 \right) \approx 66.93^{\circ}[/tex]
2. The given parameters are;
XY = 11
∠Z = 35°
YZ = Required
In a right triangle, the side facing the acute angle is a leg of the triangle.
Therefore;
XY is the opposite side to ∠Z
[tex]sin(\angle Z) = \dfrac{XY}{YZ}[/tex]
Which gives;
[tex]sin(35^{\circ}) = \dfrac{11}{YZ}[/tex]
[tex]YZ= \dfrac{11}{sin(35^{\circ}) } \approx 19.18[/tex]
YZ ≈ 19.18 ft.
3. AC = 14 ft.
∠A = 30
Required:
The length of the other two sides
Solution:
Where by AC is the hypotenuse side, we have;
CB = AC × sin(∠A)
Therefore;
CB = 14 × sin(30°) = 7
CB = 7 ft.
AB = AC × cos(∠A) = 14 × cos(30°) = 7·√3
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1. The angle the ladder makes with the ground, is approximately 66.93°
2. The length of YZ is approximately 19.18 ft.
3. CB = 7 ft. and AB = 7·√3 ft.
please help me with these 2 questions for a brainlist !
+give explanation to answer
Answer: Option 3 is the answer hope this helps!
Step-by-step explanation: Option 3
1, 4, 9, 16, 36, 49, 64 find the pattern
Answer:
0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144. Its a square number
Step-by-step explanation:
Hope this helps! Please mark brainliest if it did, it means a lot of proogression to me and thanks! <3
Answer:
Informally: When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.” So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.
Step-by-step explanation:
This and one more question, it’s now going to be put at much more points
Step-by-step explanation:
Number of stickers Rafael has left
= [tex]100 - 6s[/tex]
Substitute [tex]s = 7[/tex]into the expression.
[tex]100 - 6(7)[/tex]
= [tex]100 - 42[/tex]
= [tex]58[/tex]
-5/3 + 2 1/3
please help me
Answer:
Well you can convert the mixed fraction into an improper one
-5/3 + 7/3
Which is really -5 + 7 and you’d get 2
so 2/3
The answer: 2/3
I hope this helped have a good rest of ur day!
What is 2 3/4 + 1 4/5 as a mixed number
PLEASE HELPPP‼️‼️‼️‼️I WILL MARK BRAINLYEST ‼️‼️SOMEONE PLEASE ANSWER ‼️‼️
What is the length of DE?
A. 2.24
B. 2.66
C. 5
D. 1.73
Answer:
B
Step by Step Explanation:
D = (1, 1)
E = (2, 3)
Take out C immediately, as the distance is 100% not more than 3 units.
I'm going to go with the premise that wherever the letters' points on the graphs are where the letters are located.
Take out D as well because the distance is around 2 - 2.66 units, and not under (Look at what I said previously).
Now if we get a ruler and rotate it exactly to the line from D to E, we will get the answer B (This is due to angles).
Hope this answered your question or at least helped, in which case you're welcome. :D
it would be 2.24 !!!
Solve the inequality
8(x/4-6)>4
Answer:
[tex]8( \frac{x}{4} - 6) > 4[/tex]
[tex] \frac{8x}{4} - 48 > 4[/tex]
[tex]2x - 48 > 4[/tex]
[tex]2x > 4 + 48[/tex]
[tex]2x > 52[/tex]
[tex]x > \frac{52}{2} [/tex]
[tex]x > 26[/tex]
25. Save the simultaneous equations 2x-y=4;x+y=5
Answer:
x = 3
Step-by-step explanation:
2x - y = 4
x + y = 5
y = 5 - x
2x - (5 - x) = 4
2x + x - 5 = 4
3x = 9
x = 3
What is 2 raised to the fourth power?
Answer:
16
Step-by-step explanation:
2x2x2x2 = 16
What is p^m multiplied by p^n equal to?
Step-by-step explanation:
p^m × p^n .....since the base is the same, add the powers
p^(m + n)
p^m + n
Please help quickly
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
Part A: Describe two types of transformations that can be used to transform f(x) to g(x).
Part B: Solve for k in each type of transformation.
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x).
Answer:
Step-by-step explanation:
The graph of f(x) becomes the graph of g(x) if the former is translated UP 18 units. k = 18.
The graph of f(x) becomes the graph of g(x) if the graph of f(x) is translated 6 units to the left. k = 6
Solve for q
a-q=a+sx
Answer: q = -sx
Step-by-step explanation:
3/7 rounded to 3 decimal places
Answer:
0.429 is the correct answer.
7. Ashok gets an increase of 4% in his weekly salary. In addition to that, he gets ? 75 per week. If his present salary is 2,500 per week, what will be his new salary next week?
a. 2600
b. 2675
c. 2700
d. 2765
B.
I think B will make more B make more sense because you say he gets 75 a week.
please help please pleas
Answer:
8,8,6
Step-by-step explanation:
Since AB = BC, 4y = 3y+2
solving, y = 2
then we plug it back into the equations and get the answers
Answer:
Step-by-step explanation:
Givens
AB = BC
AB = 4y
BC = 3y + 2
AC = 3y
Solution
AB = BC
4y = 3y + 2 Subtract 3y from both sides
4y -3y = 3y-3y + 2 Combine
y = 2
AB = 4y = 4*2 = 8
BC = 3y + 2 = 3*2 + 2 = 6+2 = 8
AC = 3y = 3*2 = 6
Which equation is epuivalent to -(6 - x)= 24
Answer:-6- x = 24
Step-by-step explanation:
how many trees will be planted when 5 are cut down
How to calculate percentile.
Answer:
Step-by-step explanation:
Percentile Formula
P = (n/N) × 100
Where,
n = ordinal rank of the given value or value below the number
N = number of values in the data set
P = percentile
Or
Percentile = (Number of Values Below “x” / Total Number of Values) × 100
Answer:[tex]\frac{x}{x+....}[/tex]×100
Step-by-step explanation:
 Find the perimeter. Simplify the answer
[tex]3s - 1 + 7s - 1 + 10s - 8 + 10s - 8 \\ 10s - 2 + 20s - 16 \\ = 30s - 18[/tex]
Fill in the blank to make the two fractions equivalent.
3/7=blank/42
Answer:
18/42
Step-by-step explanation:
Find the common factor of the denominators i.e the common factor of 7 and 42. The answer is 6. Multiply the fraction with the smallest denominator by the common factor (3/7 ×6/6) answer is 18/42
Hope you understand
on her first six test, Sandra's scores were 75 70 80 80 85 and 90 find the mean of the six scores
Explanation:
First add up the scores: 75+70+80+80+85+90 = 480
Then divide by n = 6 because there are 6 scores. We get 480/n = 480/6 = 80 as the mean.
you have 20 quaters you find 40% more in your room then you go shopping and spend 50% of the total number of quarters
Answer:
you would have 14 quarters left.
Jan is looking for similar figures. Which choice is similar to the figure shown?
Bottom left as it's measurements and shape are the closest to the one Jan has
Please help me with this homework
Answer:
Option D: [tex]y= -\frac34x+14[/tex]
Step-by-step explanation:
In order for two lines to be perpendicular, the product of the slopes has to be [tex]-1[/tex]. That allows you to rule out A and C. Let's plug the coordinate of the point in B. If the equality holds, we found or line. Else, it's D.
[tex]11 =-\frac34(4) +8 \rightarrow 11 = -3+8 \rightarrow 11=5[/tex] Which is obviously impossible. Our line has to be D
Please answer this for me!! Thank you!
Answer:
B
Step-by-step explanation:
Okay, so we know all answers that apply, so why did I pick only one answer?
Think of a graph: have you heard of y = mx + b? even if you haven't the m is slope and b is y-intercept. You can use this to graph.
So if you have same slope and y-intercept you'll get infinite solutions
So if you don't know y = mx + b? it's ok! You're basically looking for the same thing on both sides. When it's the same, they'll cancel out.
Hopefully this helps! You may want to ask your teacher to make sure. :))
(Tell me if it's wrong in comments)
Decrease 80 in the ratio 3 : 4
Answer:
60
Step-by-step explanation:
A decrease in the ratio 3 : 4 implies that
new value : old value = 3 : 4
x : 80 = 3 : 4
x/80 = 3/4
x = 3/4 * 80
= 3 * 20
= 60
does anyone know this
Answer:
9.2
Step-by-step explanation:
We can use the Pythagorean Theorem, a^2 + b^2 = c^2 to solve this. Since a and b are the lengths of the two sides and c is the length of the hypotenuse, we modify the original formula to c = [tex]\sqrt{a^{2} +b^{2} }[/tex] to find the length of the diagonal. We would get c = [tex]\sqrt{7^{2} +6^{2} }[/tex] = 9.2.
What has she done wrong?
Answer:
see explanation
Step-by-step explanation:
Her error is in squaring (2y)²
She has (2y)² = 2y²
when it should be 2y × 2y = 4y²
Then
(2y)² = 6² + 8²
4y² = 36 + 64
4y² = 100 ( divide both sides by 4 )
y² = 25 ( take square root of both sides )
y = [tex]\sqrt{25}[/tex] = 5
Which product is modeled by the number line below
Answer:
the second option/b
Step-by-step explanation:
because -2*4 equals -8
Answer:The second option beacue -2*4 equal -8
Step-by-step explanation:
Tyesha found that the z-statistic was 2. 1 and that the critical z-values were -1. 96 and 1. 96. Which of the following is a valid conclusion based on these results? One can reject the null hypothesis. One can reject the alternate hypothesis. One can accept the null hypothesis. One cannot accept or reject the null hypothesis.
The option that represents a valid conclusion based on the given results is;
One can reject the null hypothesis.
We are told that the z-statistic was 2.1.
We are also told that the critical z-values were -1.96 and 1.96.
We see that the z-value is greater than the critical z-values.
Now, in hypothesis testing, when the z-value is greater than the critical z-values, then we reject the null hypothesis.
In conclusion, we will reject the null hypothesis.
Read more about hypothesis testing at; https://brainly.com/question/15980493