Given:
In ΔFGH, the measure of ∠H=90°, FH = 39, GF = 89, and HG = 80.
To find:
The ratio which represents the cotangent of ∠G.
Solution:
In a right angle triangle, the ratio of the cotangent of an angle is
[tex]\cot \theta =\dfrac{Base}{Perpendicular}[/tex]
It is also written as
[tex]\cot \theta =\dfrac{Adjacent}{Opposite}[/tex]
In ΔFGH, the measure of ∠H=90°. So,
[tex]\cot G =\dfrac{HG}{FH}[/tex]
[tex]\cot G =\dfrac{80}{39}[/tex]
Therefore, the ratio for the cotangent of ∠G is [tex]\cot G=\dfrac{80}{39}[/tex].
I whats the answer????
Answer:
The equations that are true are
B
C
E
Step-by-step explanation:
A) States that 0 + 451 = 0, but that is not true because...
0 + 451 = 451
B) States that 130 + 210 = 210 + 130, and that is true because...
130 + 210 = 210 + 130
340 = 340
C) States that (127 + 80) + 250 = 127 + (80 + 250), and it is true because...
(127 + 80) + 250 = 127 + (80 + 250)
127 + 80 + 250 = 127 + 80 + 250
457 = 457
D) States that (123 + 57) + 180 = 153 + (87 + 180), but that is not true because...
(123 + 57) + 180 = 153 + (87 + 180)
123 + 57 + 180 = 153 + 87 + 180
360 = 420 (but this does not make sence)
E) States that 497 + 0 = 497, and it is true because...
497 + 0 = 497
497 = 497
Answer:
E is true, B is true, C is true,
Mr. Johnson bought 1.8 pounds of grapes for $2.20 per pound. How much did the grapes cost Mr. Johnson to purchase?
A. $3.96
B.$3.80
C.$0.40
D.$5.40
Answer:
A. $3.96
Step-by-step explanation:
$2.20 × 1.8 pounds = $3.96
Probability of drawing one yellow ball from a box containing 20 blue balls, 15 white balls and 10 yellow
Answer:
[tex]\frac{2}{9}[/tex]
Step-by-step explanation:
The probability of an event is calculated by dividing the number of successful outcomes by the number of total outcomes. In an algebraic expression, that would be [tex]\frac{successful}{total}[/tex].
In this case, there are a total of [tex]20+15+10=45[/tex] ways to choose any ball, since there are [tex]45[/tex] balls in the box. However, only [tex]10[/tex] are yellow, so there are [tex]10[/tex] ways to successfully choose a yellow ball. Therefore, the probability of choosing a yellow ball is [tex]\frac{10}{45}=\frac{2}{9}[/tex]. Hope this helps!
Sal wrote the statement below to represent the inequality 8 n minus 5 less-than 25. Which words should Sal use to complete the verbal statement?
The product of 8 and n decreased by 5 is _________________ 25.
less than
greater than
less than or equal to
greater than or equal to
Answer:
hi sorry for answering late but the answer is D)greater than or equal to
Step-by-step explanation: Have a nice day :)
Answer:
greater than or equl to
Step-by-step explanation:
just gave answer i think not sure and it d by the way
Which is larger, 9 kilograms or 8,500 grams?
Answer: 9 kilograms
Step-by-step explanation:
9 kilograms is larger because the kilogram, or kilogramme, is the base unit of weight in the Metric system. It is the approximate weight of a cube of water 10 centimeters on a side. While a gram is a unit of weight equal to 1/1000th of a kilogram. A gram is the approximate weight of a cubic centimeter of water.
Use a calculator to evaluate the trigonometric functions of the given anglers. Round your answers to four decimal places. Please help
Answer: figure it out.
Step-by-step explanation: it's not hard, just put it in a calculator, knowledge...
use the triangle below to find cos angle V
Answer:
[tex]\frac{2\sqrt{29} }{29}[/tex] last one
Step-by-step explanation:
let me know if u need steps
Step-by-step explanation:
hypoteneuse^2 = 6^2 + 15^2 = 36 + 225
h^2 = 261
h = 16.15
cos v = 6/16.15
Sekhar gives a quarter of his sweets to Renu and then gives 5 sweets to Raji. He has
7 sweets left. How many did he have to start with?
Answer:
16 sweets
Step-by-step explanation:
Number of sweet that Sekhar had = x
Sweets given to Renu = (1/4) of x = [tex]\frac{1}{4}x[/tex]
Sweets given to Raji = 5
Remaining sweets = 7
[tex]x = \frac{1}{4}x +5 + 7\\\\x -\frac{1}{4}x = 12\\\\\frac{4*x}{1*4}x-\frac{1}{4}x = 12\\\\\frac{4x}{4}-\frac{1}{4}x= 12\\\\\frac{3x}{4}=12\\\\x = 12*\frac{4}{3}\\\\x=4*4\\\\x=16[/tex]
can someone help and explain with steps please
Answer:
4th root of 16
4 = index ; 16 = radicand
2
Step-by-step explanation:
⁴√16 is pronounced as the 4th root of 16
For expressions of this sort :
The index = 4
Radicand = 16
Sqareroot (√) is a radical symbol, and the number under the radical square root Symbol is called the radicand
Hence. The 4th root of 16:
⁴√16 ; using a calculator gives 2.
We could check our resukt by taking the 4th square of 2
2 * 2 * 2 * 2 = 16
Solve the expression for: x = 2 and y = 5 x2 + 2y2 + 15
Answer:
69
Step-by-step explanation:
The graph compares the number of weeks that have passed, x, and the number of tennis coaching sessions Peter has taken, y. Which equation represents the relationship between x and y?
A.y= −3x +1/3
B.y= 1/3x − 3
C.y= 1/3x + 3
D.y= 3x − 9
Determine the location of the ordered pair (0, 5)
Answer:
It's located on the y - axis
Step-by-step explanation:
x = 0
y = 5
Answer:
x+6=372mas e melhor fazer e não passar a caneta talvez esteja errada
a) Length of a Rectangular playground is 15m and width of the playground is
12m.David wants to level the playground .How much area he has to level?
b) David will charge 3 pound for leveling of 1m square What will be the total
amount he will charge for leveling the playground.
Answer:
A. 180 m²
B. 540 pounds
Step-by-step explanation:
Area of rectangular playground = length × width
Length of a Rectangular playground = 15m
width of the playground =
12m
Area of rectangular playground = length × width
= 15m × 12m
= 180m²
B. 1m square = 3 pounds
What will be the total amount he will charge for leveling the playground.
Total cost of leveling the playground = 180 m² × 3 pounds
= 540 pounds
Help plssssss I have a test and I still didn’t do it :(
Answer:
36 = Dividend
6 = Divisor
6 = quotient
A store sells skateboards for $56 and mark it up by 42% what is the new selling price
Answer:
$79.52
Step-by-step explanation:
1.42 x 56
I need help please help me
Answer:
electric poles are all stationary objects
In a survey, 80% of people like Coca Cola and 85% of people like Pepsi, 75% of people like both drinks. If 45 people do not like both drinks, find the total number of people in the survey.
If a car travels 825 miles in 15 hours and the car travels at an constant rate how many miles does the car travel in 1 hour?
Answer:
55 miles
Step-by-step explanation:
Given data
DIstance = 825 miles
Time = 15 hours
Speed= distance/time
Speed= 825/15
Speed= 55 miles per hour
Given that we want to find the distance traveled in 1 hour, we have
Distance= Speed*time
Distance= 55*1
Distance= 55 miles
Hence the car will travel 55 miles in 1 hour
Anna is going to invest in an account paying an interest rate of 5.1% compounded continuously. How much would Anna need to invest, to the nearest hundred dollars, for the value of the account to reach $47,000 in 14 years?
Answer: 23000 on delta math
Step-by-step explanation:
Help pls thnk You!!!!!!!!!!!!!!!!!!!!!!!!!!
(2n+7)(n+1)(n-1). So the first one.
Which other expression has the same value as (-14 ) - 8? Explain your reasoning
a(-14) + 8
b14 - (-8)
c14 + (-8)
d (-14) + (-8)
Please anyone I need to do this know I have no time left
Answer:
(1) 292 sq ft(2) 346 sq inStep-by-step explanation:
Surface Area
(1)
Triangular Prism
Given that:
Base (b) = 7 ftHeight (h) = 6 ftHypotenuse (y) = 9 ftDepth (d) = 10 ftFind the surface area!
Surface area =
bh + d(b+2y) =
(7 × 6) + (10×(7+(2×9))) =
42 + 250 =
292 sq ft ✅___________________
(2)
Cuboid
Given that:
Length (L) = 11"Width (W) = 10"Height (H) = 3"Find the surface area!
Surface area =
2LW + 2LH + 2WH =
(2×(11×10)) + (2×(11×3)) + (2×(10×3)) =
220 + 66 + 60 =
346 sq in ✅______________
#IndonesianPride
- kexcvi -
The equation y = 10x + 15 represents a gym that charges. What is the slope and y-intercept?
O slope: 15, y-intercept: 10
O slope: 10, y-intercept: 15
Oslope: 5, y-intercept: 25
O slope: 25, y-intercept: 5
What is the slope of the line?
What is the y-intercept?
Write the equation of the line
Answer:
slope is 2
y-intercept is 3
equation y=2x+3
Step-by-step explanation:
Answer:
slope=4/2 or 2
y-intercept=3
equation=y=2x+3
the slope would be 4/2 because if you do the triangle method you see that the vertical distance of y is 4 and the horizontal distance of x is 2 so that gives you 4/2 the y intercept is where the line starts at 0 which you can see is 3. if the equation is y=mx+b you plug in the slope which is 4/2 or 2 and plug in the y-intercept which is 3 which gives you y=2x+3
Using logarithm table evaluate the
[tex] \frac{ \sqrt[3 ]{1.376} }{ \sqrt[4]{0.007} } [/tex]
By using the logarithm table, the value of the expression is approximately written as 5.796.
To begin, let's use the properties of radicals and logarithms to rewrite the expression:
[tex]\frac{\sqrt[3]{1.373} }{\sqrt[4]{0.007} } = 1.373^{1/3} \times 0.007^{-1/4}[/tex]
Now, we can utilize logarithm tables to evaluate each term separately. Using logarithms, we can convert the above expression into a more manageable form:
=> 1.373 ¹/₃ = 1.092,
=> 0.007⁻¹/₄ = 5.311
Finally, we can substitute the approximated values back into the original expression:
≈1.092×5.311≈5.796.
To know more about logarithm here
https://brainly.com/question/28346542
#SPJ2
PLEASE HELP ME ASAP!!!
Answer:
5x6x7=210x2=420
Step-by-step explanation:
Find the missing side
Answer:
20
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2, where a and b are the sides and c is the hypotenuse
15^2 + b^2 = 25^2
225 + b^2 = 625
b^2 = 625 -225
b^2 =400
Take the square root of each side
sqrt(b^2) = sqrt(400)
b = 20
tan A =
option 1: 40/9
option 2: 9/41
option 3: 40/41
option 4: 41/40
what is the correct answer?
Answer:
option 1: [tex]\frac{40}{9}[/tex]
Step-by-step explanation:
tan = [tex]\frac{opposite}{adjacent}[/tex]
tan A = [tex]\frac{40}{9}[/tex]
Answer:
Option 3
Step-by-step explanation:
So remember the formula for sine, cosine, and tangent: it's SOH CAH TOH. SOH is sine: opposite over hypotenuse. Cosine is CAH: adjacent over hypotenuse. Lastly, the one we're using today is tangent, TOH: opposite over hypotenuse. So for tan A, you look at the opposite side of angle A, which is side BC; the length is 40. Then you look at the hypotenuse, which is side AB; the length is 41. So, you get 40/41, which is option 3 as the answer. Hope this helps!
Helpppp plzzz I will mark brainliestttt
A student wants to arrange four points to form a rectangle on a grid. She has already placed points at Syntax error. Where should she place the last point? PLEASE HURRRY
Question:
A student wants to arrange four points to form a rectangle on a grid. She has already placed points at (-4. 4). (-4, 8). and (4, 8). Where should she place the last point?
Answer:
[tex]D = (4,4)[/tex]
Step-by-step explanation:
Let the rectangle be ABCD
[tex]A = (-4,4)[/tex]
[tex]B= (-4,8)[/tex]
[tex]C = (4,8)[/tex]
Required
Determine the location of the last point
A rectangle has the following coordinates
[tex]A = (x_1,y_1)[/tex]
[tex]B = (x_1,y_2)[/tex]
[tex]C = (x_2,y_2)[/tex]
[tex]D = (x_2,y_1)[/tex]
From the given coordinates:
[tex]x_1 = -4[/tex] --- see x coordinates of A and B
[tex]x_2 = 4[/tex] --- see x coordinates of C
[tex]y_1 =4[/tex] --- see y coordinates of C
[tex]y_2 =8[/tex] --- see y coordinates of B and C
So:
[tex]D = (x_2,y_1)[/tex]
[tex]x_2 = 4[/tex]
[tex]y_1 =4[/tex]
The coordinates of the last point (D) is:
[tex]D = (4,4)[/tex]