Answers
Answer:
0.6
Step-by-step explanation:
cos H = GH/FH
FH^2=20^2+15^2
FH^2=400+225=625
FH=25
cos H= 15/25=3/5=0.6
===========================================================
Explanation:
Before we can apply a trig ratio, we need to find the length of the hypotenuse. Use the pythagorean theorem.
a^2 + b^2 = c^2
c^2 = a^2 + b^2
c = sqrt(a^2 + b^2)
c = sqrt(15^2 + 20^2)
c = 25
The hypotenuse is 25 units long, which is the length of segment FH.
Now we can find the cosine ratio
cos(angle) = adjacent/hypotenuse
cos(H) = GH/FH
cos(H) = 15/25
cos(H) = 3/5
cos(H) = 0.6
Related Questions
The circle below is centered at (4, q) and has a radius of 3. What is the equation.
Answers
Answer:
C
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (4, - 1 ) and r = 3 , then
(x - 4)² + (y - (- 1) )² = 3² , that is
(x - 4)² + (y + 1)² = 9 → C
someone help me please with this algebra problem
Answers
Answer:
4
Step-by-step explanation:
3r = 10 + 5s
r = 10
3(10) = 10 + 5s
30 = 10 + 5r
20 = 5r
r = 4
Please help!!
What is the formula that is used for DISCOUNT SALES?
Answers
Answer:
discounted price = original price ( 1 - discount rate)
Step-by-step explanation:
Help..................
Answers
Answer:
IJKUKOKLIOLIOOOIOLI
Step-by-step explanation:
IOIUOIUOIOIOIOIOIOIOIOIOIOIOIOIOIOIOIOOIOIOIOIOIOIOIOIOIOIOIO
Find the area of the parallelogram
Answers
72
Step-by-step explanation:
We can’t start solving the area of the parallelogram till we know the height
Since the height isn’t given, we’ll need to use Pythagorean Theorem
Pythagorean Theorem: a^2 + b^2 = c^2
where a = 6 b = the height and c = 10
6^2 + b^2 = 10^2
36 + b^2 = 100
b^2 = 100 - 36
b^2 = 64
Then sqrt rt 64
Sqrt rt of 64 = 8
so the height is 8
Now multiply the base x height
6 x 8 = 48
Now divided by 2
48 divided by 2 = 24
••••••••••••••••••••••••••••••••
New base = 12 - 6
New base = 6
Area = 1/2 bh
Area = 1/2 (6)(8)
Area = 1/2 48
Area = 24
And then to the last shape will be another 24 so basically we had the left triangle the right triangle and the middle one
24 + 24 + 24 = 72
If 2 angles are both right angles then they are congruent. Would the converse of this statement be true?
Answers
Given:
The statement is: If 2 angles are both right angles then they are congruent.
To find:
The converse of the given statement and then check whether it is true or not.
Solution:
We know that,
Statement: If p, then q.
Converse : If q, then p.
The statement is: If 2 angles are both right angles then they are congruent.
So, the converse of this statement is:
If 2 angles are congruent then both are right angles.
This statement is not true because if 2 angles are congruent then it is not necessary that the angles are right angles.
Therefore, the converse of this statement is not true.
(-4)+12+(-20) simplify
Answers
(-4)+12+(-20)
= 12 + (-24)
= -12
Answer:
-12
Step-by-step explanation:
The solution is in the picture ^_^ I hope it helps
A certain jet can reach an altitude of 8000 ft while flying 16000 ft through the air. what is the angle of the elevation that the plane is flying? Round to the nearest degree.
Answers
Answer:
27 degrees
Step-by-step explanation:
First, we can draw this out. Since the altitude is 8000, we can make that the height, and it goes 16000 feet through the air, that can be the length. I have drawn this out, as shown in the image. Note that when drawing, because the airplane is going up and forward, that path should represent the hypotenuse. The angle of elevation is the angle connecting the length and the path, as shown by the angle x in the picture.
We know than tan(x) = opposite/adjacent, so tan(x) here = 8000/16000 = 1/2. Then, arctan(1/2) =x = 27 degrees
Martin can travel 174 miles in 3 hours. At this rate, how far can he travel in 7 hours.
Answers
Answer:
406
Step-by-step explanation:
all you have to do is divide 174 by 3 and multiply 58 by 7
Find the area enclosed by the figure.
Answers
Answer:
894
Step-by-step explanation:
this can be "split" into 3 rectangles.
their areas can be easily calculated. and then we simply sum them all up for the answer.
rectangle 1 on the top
R1 = 5×9 = 45
rectangle 2 in the middle
R2 = (19+5)×(35-9-15) = 24×11 = 264
rectangle 3 at the bottom
R3 = 39×15 = 585
and all together
45+264+585 = 894
Help quick pls
The product of three different positive integers is equal to 7^3. What is the sum of the three integers?'
Answers
Answer:
it must be 21
Step-by-step explanation:
I have very fast I think giving test just thank the answer after test mark me brainliest
How do I do this problem?
Answers
Step-by-step explanation:
here is the answer to your question
Answer:
Step-by-step explanation:
I would start from the beginning and find the slope myself, just so I know what's going on (as opposed to being dropped in the middle of the problem). The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] and for us:
[tex]m=\frac{5-3}{4-3}=2[/tex] so the slope is indeed 2. Now we need to write the equation in slope-intercept form. I find it easier to first write the equation in point-slope form and then solve it for y. Point-slope form is
[tex]y-y_1=m(x-x_1)[/tex] where m is the slope (2) and x1 and y 1 are from one of the coordinates (whichever one you want; as long as you do the math correctly, you will NOT get an incorrect answer. In other words, you can't pick the "wrong" point to use to write the equation.) I'm going to use (3, 3):
y - 3 = 2(x - 3) and
y - 3 = 2x - 6 and
y = 2x - 6 + 3 so
y = 2x - 3 and that's your equation. Of course, you will enter a (-3) in that box with the ? in it.
The sum of the first six terms of an A.P is 72 and second term is seven times the fifth term. find the first term and common difference.
Answers
Hello,
if A.P means arithmetic progression then
let's say a the first term and r the common difference.
[tex]\left\{\begin{array}{ccc}(a)+(a+r)+(a+2r)+...+(a+5r)&=&72\\a+r&=&7*(a+4r)\end{array}\right.\\\\\\\left\{\begin{array}{ccc}6a+15r&=&72\\6a+27r&=&0\end{array}\right.\\\\\\\left\{\begin{array}{ccc}a&=&\dfrac{-9}{2}*r\\-9r+5r&=&24\end{array}\right.\\\\\\\left\{\begin{array}{ccc}r&=&-6\\a&=&27\end{array}\right.\\\\[/tex]
To get a B in math, I must average 80 on 5 test. My scores on the 1st 4 test were 83, 75, 83, amd 78. What is the lowest score that I can get on the last test to still get a B?
Answers
Answer81 is the lowest you can get on the last test and still get a B.
Step-by-step explanation:I used the mean average and guess and check.
Answer:
83+ 75+ 83+ 78=319
319 divided by 4=79.75 so a high c
83+ 75+ 83+ 78+80=399
399 divided by 5=79.8 not quite
83+ 75+ 83+ 78+85=404
404 divided by 5=80.8
83+ 75+ 83+ 78+81=400
400 divided by 5=80
so you have to get a 80 to still get a b
Dr. Miller decided to conduct an exercise in his class in which two students each flipped a coin and record how many times they received heads or tails. One student had five heads in a row, while the other student's coin toss had no pattern. Dr. Miller explained that, while the five-head pattern is interesting, it is BEST explained by
Answers
Answer: random events
Step-by-step explanation:
Based on the information given in the question, the scenario can be best explained by a random event.
Random event refers to the event that cannot be made exact and one whose outcome can't be predicted. An example is the sum of numbers that are gotten when two rolled dice are rolled.
From the experiment, one student had five heads in a row, while the other student's coin toss had no pattern depicts a random event.
HELPP!
The functions f(x) and g(x) are described using the following equation and table:
f(x)=-4(1.09)x
Answers
Answer:
A: The y-intercept of f(x) is equal to the x-intercept of g(x)
Step-by-step explanation:
From the equation of f(x) given, we have;
f(x) = -4(1.09)^(x)
Now,the y-Intercept will be the point where x = 0.
Thus;
f(0) = -4(1.09)^(0)
f(0) = -4
Now,from the table given for g(x), we can see that at x = 0,g(x) = -4.
Thus,it means that the y-intercept of f(x) is equal to the x-intercept of g(x)
11. Write a compound inequality that represents each situation. Graph your solution.
all real numbers that are greater than 8 but less than 8
85x<8
8 SXS 8
-8 < x <8
8
Answers
its the third choice
Water is filling a swimming pool at a constant rate. After 4 hours, 2 inches of water have filled the pool. Write an equation that gives the amount of water, w, after t hours.
Answers
Answer:
Step-by-step explanation:
Inches per hour is the rate we are looking for here, which will then be the slope of the linear equation. Slope is the same thing as the rate of change. While this may not seem all that important right now, it's actually a HUGE concept in higher math, especially calculus!
If the pool is filling at a rate of 2 inches per every 4 hours, then by dividing, we get that the rate is 1 inch every 2 hours, which translates to a slope of 1/2. Creating an equation with this slope:
[tex]w=\frac{1}{2}t[/tex] Let's check it. We are told that after 4 hours there are 2 inches of water in the pool. That means if we plug in 4 for t and solve for w, we should get w = 2:
[tex]w=\frac{1}{2}(4)[/tex] and
w = 2. So we're good!
la suma de 4 numeros consecutivos es 54 ¿cual es el numero mayor?
Answers
Answer:I don’t speak Spanish so I can’t help
Step-by-step explanation:
Describe fully the single
transformation which maps
triangle T to triangle U.
-2-
-1
U
-5
-4
-3
-2
-1
0
1
2
3
4
-1
Answers
Answer:
Rotation 90⁰ clockwise about point (-1,-1)
Find the measure of the missing angle using the triangle angle sum theorm.
Answers
Can you please help with this question. Please please
Answers
Answer:
Step-by-step explanation:
5.2*9= 46.8
Do you want to know how to find the answer? :/
Use the elimination method to solve the system of equations.
A. (1.5,-8)
B. (-6,-13)
C. (0,0)
D. (4.5,-6)
Answers
Answer:
(4.5,-6)
Step-by-step explanation:
[tex]2x-3y = 27\\4x+3y = 0[/tex]
6x = 27
x = 27/6=4.5
9-3y = 27
-3y = 18
y = -6
Miast
Select the correct answer.
Which of the equations below represents a line parallel to the x-axis?
А.= 5
B.y = 1
C.y = 1
D.y = 5
Answers
Answer: All options are correct (assuming that option A is in the form of Y=5). Typing error in the question. But I will clear your concepts on that.
Step-by-step explanation:
Equation of the form (y = c) are the horizontal lines that are passing through the y-intercept 'c' or cutting/passing through the y-axis at 'c'.
All equations in the option are of the form y = c
option A , (y=5)
option B , (y=1)
option C , (y=1)
option D, (y=5)
All are parallel to X-axis.
For an equation to be parallel to y-axis should have the form x = a (Vertical line passing through x-intercept 'a')
#Muhib
To solve the equation t? - t = 12 by factoring, you would use
t(t - 1) = 12
Ott - 1) - 12 = 0
(t - 4)(t + 3) = 0
Answers
Answer:
it is what it is
Step-by-step explanation:
Math Question: About percentages
Answers
Answer:
$58.8 million
Step-by-step explanation:
43% of x = 25.3 million
.43x = 25300000
x = 25300000 ÷ .43
x = 58837209.30
x = 58.8 million
What is the gradient of the graph shown? In its simplest form
Answers
Answer:
1
Step-by-step explanation:
the line passes point (-3,0) abd (0, 3)
so, the gradient = (3-0)/(0+3) = 3/3 = 1
Which table represents a linear function?
Answers
Answer:
C
Step-by-step explanation:
The slope of C is 3/2 and it stays consistent unlike the other ones.
the maximum mark of 30 student is 100. if its range is 75, find the minimum mark and coefficient of range.
Answers
Answer:
3000 ................,...
Here is the distribution of blood types from a group
of randomly selected people:
o
А
B
AB
Blood
Type:
Probability:
0.49
0.27
0.20
?
What is the probability of type AB blood?
