Two Identical Buildings stand parallel on opposite sides of a road. Find the angle of depression from A to B
Answer:
8.7°
Step-by-step explanation:
The above problem can be represented by a right angled triangle with height of 7 m, hypotenuse = AB.
The base of the triangle is gotten by finding the diagonal of the road. That is using Pythagoras theorem:
base² = 43² + 15²
base² = 2074
base = 45.54 m
Using trigonometric function to find angle A:
tan(A) = base / height
tan(A) = 45.54 / 7
tan(A) = 6.506
A = tan⁻¹ (6.506)
A = 81.3°
Angle of depression = 90° - A = 90 - 81.3
Angle of depression = = 8.7°
Glenn bought 3 pounds of tomatoes. He used § of them to make sauce.
Make an equation that shows the number of pounds of tomatoes Glenn used for the sauce.
Answer:i dont kno what number u put
Step-by-step explanation:
What is the equation of the line that contains point (6, 4) and is parallel to line m?
A) y=-2x+16
B)y=2x-8
C)y=-1/2x+7
D)y=1/2x+1
PLEASE HELPPP !!
Answer:
d?.............................
3х + 5 + 2х
Simplifying variable expressions
Answer:
3
х
+
5
+
2
х
5
х
+
5
Solution
5
х
+
5
Step-by-step explanation:
roman spent $24 of the $30 in his wallet. What percent represents the fraction of $30 james spent
A market research firm studied the waiting time to order drinks during breakfast time at drive-thru in two coffee shop chains. For a sample of 30 locations of chain A, the sample standard deviation of waiting time was 21.2 seconds, and for a sample of 28 locations of chain B, the sample standard deviation was 31.4 seconds. Do these data suggest that the waiting time is more consistent in chain A
Answer:
Yes
Step-by-step explanation:
Given that :
CHAIN A:
Sample size n1 = 30
Sample standard deviation of waiting time s1 = 21.2
CHAIN B:
Sample size, n2 = 28
Sample standard deviation of waiting time s2 = 31.4
Null hypothesis H0: s1 = s2
Alternative hypothesis H1: s1 < s2
Test statistic ; Ftest : s1² / s2²
Ftest = 21.2^2 / 31.4^2
= 0.4558399
P value from F statistic : = 0.02 (using p value calculator)
Since the pval < 0.05
Then we reject the Null ; Chain A waiting time is more consistent
If the nth term of a number sequence is 3n²
find the first 3 terms and the 10th term.
Answer:
Step-by-step explanation:
3(1)^2 = 3
3(2)^2 = 12
3(3)^2 = 27
3(10)^2 = 300
Determine the relationship between the two triangles and whether or not they can be proven to be congruent
Answer:
The two triangles are related by AAS, so the triangles are congruent.
Step-by-step explanation:
Two angles and a non-included side of one triangle are congruent to corresponding two angles and an included side in the other triangle. Therefore, we can conclude that the two triangles are related by the AAS Congruence Criterion. Hence, both triangles congruent to each other.
What is the measure of 2X?
х
1240
Select the best answer from the choices provided.
A.56
B.66
C.114
D.124
Genie has 100 feet of fence with which to make a rectangular cage for her rabbit. If she uses the wall of her house as one side
Answer:
-2(15)²+100(15) = -450+1500 = 950 ft²Step-by-step explanation:
(she has enough fence for this) I hope it's help you3 ft
14 ft
16 ft
What is the area of the Japanese garden around the koi pond? Use 3.14 for x
195.74ft?
224.00ft?
252.26ft?
337.04f2
Answer:
195.74
Step-by-step explanation:
The whole area including the circle is 224
14×16=224
If you don't include the circle it must be less than including it. This is the only option less than 224
At a party there are 30 students over age 21 and 20 students under age 21. You choose at random 3 of those over 21 and separately choose at random 2 of those under 21 to interview about attitudes toward alcohol. You have given every student at the party the same chance to be interviewed: what is that chance
Answer:
10%
Step-by-step explanation:
According to the scenario, given data are as follows:
Students over age 21 = 30
Students under age 21 = 20
Choose student over age 21 = 3
Choose student under age 21 = 2
So, we can calculate chances by using following method,
Chances of student over age 21 = Number of choose student ÷ Total students
= 3 ÷ 30 = 0.10 = 10%
Similarly, Chances of student under age 21 = Number of choose student ÷ Total students
= 2 ÷ 20 = 0.10 = 10%
Hence, in both condition, chances are 10%.
Use the graph to solve the following:
When f(x)=5
9514 1404 393
Answer:
x = -3 or 0
Step-by-step explanation:
Locate the horizontal line y = 5. Identify the x-values where the graph crosses that line. They are x = -3 and x = 0.
What is the sum of 2/11’ 2/7’ and 1/11’?
Need help don’t know what’s to do on this
Answer:
the first graph since the y intercept is -2 and the line hit -2
factor the expression using gcf 69 + 84
Answer:23/28
Step-by-step explanation:
69 + 84 = 23/28
if you divide it by 3
Complete the statement.
The polynomial function f(x) = ____.
(x + 2)(x - 2)(x + √3)
(x + 2)(x +√3)(x-√3)
(x - 2)(x + √3)(x-√3)
(x + 2)(x - 2)(x + √3)(x-√3)
Answer:
B
Step-by-step explanation:
edg 2020
The factorised form of given function f(x) is (x + 2)(x +√3)(x-√3) which is correct answer would be option (B).
What is a polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
We have been given the polynomial function:
⇒ x³ + 2x² - 3x -6
Simplify the radical by breaking the radicand up into a product of known factors.
⇒ x³ + 2x² - 3x -6
Add and subtract the second term to the expression and factor by grouping.
⇒ x²(x + 2) - 3(x + 2)
⇒ (x + 2)(x² - 3)
⇒ (x + 2)(x +√3)(x-√3)
Therefore, the factorised form of given function f(x) is (x + 2)(x +√3)(x-√3).
Learn more about the polynomials here:
brainly.com/question/11536910
#SPJ6
The question seems to be incomplete the correct question would be
If a polynomial function is x³ + 2x² - 3x -6 find the factorized form which is f(x)
The polynomial function f(x) = ____.
ANSWER ASAP PLEASE!! CORRECT ANSWER WILL GET BRAINLIEST!
Professor Duncan decided to use a curve to grade a recent test. The lowest score out of 100 was 35 and the highest score was 65. He used the function n(g)=1.2g+3, where n(g) is the curved test score and g is the original test score. Which is the range of the curved test scores?
A. 35 to 65
B. 42 to 78
C. 45 to 81
D. 46 to 82
Answer:
C
Step-by-step explanation:
Hope it helps!!
Brandon answered 21 of the 25 questions on his history test correctly. What decimal represents the fraction of problems he answered incorrectly?
Answer:
.84
Step-by-step explanation:
21/25 = .84
What is the approximate area of the circle shown below?
A. 11.0 cm2
B. 220 cm2
C. 154 cm2
D.38.5 cm2
14x - 9 + 8x + 3 = 9x - 8 - 3x - 14
One Solution
Infinitely Many Solutions
No Solution
Answer:
[tex]\large\boxed{\text{One solution.}}[/tex]
14x - 9 + 8x + 3 = 9x - 8 - 3x - 14
Combine like terms:
14x + 8x - 9 + 3 = 9x - 3x - 8 - 14
22x - 6 = 6x - 22
Subtract 6x from both sides:
22x - 6x - 6 = 6x - 6x - 22
16x - 6 = -22
Add 6 to both sides:
16x - 6 + 6 = -22 + 6
16x = -16
Divide both sides by 16:
16x/16 = -16/16
x = -1. There is only one solution to this equation.
Answer:
Step-by-step explanation:
Here you go mate
Step 1
14x-9+8x+3=9x-8-3x-14 Equation/Question
Step 2
14x-9+8x+3=9x-8-3x-14 Simplify
22x-6=6x-22
Step 3
22x-6=6x-22 Subtract 6x from the sides
16x-6=-22
Step 4
16x-6=-22 Subtract -6
16x=-16
Step 5
16x=-16 Divide both sides by 16
-1
Answer
x=-1
One Solution
Neeed helpp on this question
Answer:
y=4x-9
Step-by-step explanation:
slope is rise/run
choose one point and do rise/run until you get to the next point
from the graph you can see the y-intercept is -9
Answer:
y=2x+-9
Step-by-step explanation:
this is the answer
HELP!!
Construct the graph of the direct proportion y=kx for k= -1
Simple answer.
-1 x 3 = -3
3 is your x and -3 is your y.
8 units to the left of five
what is the equation in slope-intercept form, of the line prependicular to y= -3/5x +6 that passes through the point with coordinants (12,25)
Answer:
y=5/3x+5
Step-by-step explanation:
change slope in equation given to the negative reciprocal since the line is perpendicular:
-3/5 to 5/3
put values into point slope form y-y1=m(x-x1)
y1 = y in the point given, which is 25
m = slope, which is 5/3
x1 = x in point given, which is 12
y-25=5/3(x-12)
then solve for slope intercept form y=mx+b to get
y=5/3x+5
Leila and Jo are two partners in a business. Leila makes $2 in profits for every $3 that Jo makes. If Jo makes $18 profit on the first item they sell, how much profit does Leila make?
Answer:
I think the answer is 12
Step-by-step explanation:
Because Jo made $3 6 times so you multiply that by what Lelia makes. So 2 x 6 = 12?
10, 7, 4, 1, -2 common ratio
Answer:
Step-by-step explanation:
common ratio is -3
10-3=7
7-3=4
4-3=1
etc
Answer:
-3
Step-by-step explanation:
common ratio=a2-a1=7-10=-3
100 Points help!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
wait so you have t
Step-by-step explanation:
Answer:
I AGREE
Step-by-step explanation:
American Sign Language
In general, Deaf culture is more open about honestly expressing emotion than other cultures.
a. True
b. False
Answer:
false ignore this I needed to write something else to hand it in
Look at the linear equation graphed below. If x=12, what value of y is a solution to this equation?
A)1
B)2
C)27
D)18
Answer:
B) 2
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)