9514 1404 393
Answer:
5.69 cm
Step-by-step explanation:
The mnemonic SOH CAH TOA can remind you of the relationships between angles and sides in a right triangle. Here, the useful ones are ...
Cos = Adjacent/Hypotenuse
Sin = Opposite/Hypotenuse
__
Using the first of these, we can find GD:
cos(52°) = GC/GD
GD = GC/cos(52°)
Using the second of these, we can find GH:
sin(64°) = GH/GD
GH = GD·sin(64°)
Substituting for GD, we find ...
GH = GC·sin(64°)/cos(52°)
GH ≈ (3.9 cm)(0.8988/0.6157)
GH ≈ 5.69 cm
_____
Additional comment
The length 2.77 cm given in your question is the approximate length of DH. That solution is DH = (3.9 cm)·cos(64°)/cos(52°) ≈ 2.7769 cm ≈ 2.78 cm.
Problems of this nature tend to be formulated different ways, so the specific answer will depend on the specific question. Angles and lengths and requested information may vary, even though the picture looks very similar. Read all the words.
Given the graph below, solve the system of equations.
Answer:
(4, 3 )
Step-by-step explanation:
Given a system of equations graphically, then the solution is at the point of intersection of the 2 lines.
The lines intersect at (4, 3 ) ← solution
helpppppppppppppppppppppppppp
The answer is: 8m=152
I NEED HELP AND FAST PLEASE!!! I’m not sure if I chose the right answer or not!!
Answer:
d
Step-by-step explanation:
the graph increases then goes horizontal
Answer:
D
Step-by-step explanation:
D is the choice you have to make. The culprit is the word quickly. You can't tell if the speed is increasing quickly or not.
The correct part of d is that the bicycle stays at a constant rate until the end of the timing of the graph.
In triangle ABC,the measure of angle A is 78° and the measure of angle B is 35° What is the measure of angle C
Answer:
č= 67°
Step-by-step explanation:
x + 78+35=180
x + 113=180
x= 180-113
x= 67 degrees
Write the Slope-Intercept and Point-Slope forms of the line passing through the point (-3, 2) and having a slope of -4/5
Answer:
slope-intercept: [tex]y=\frac{-4}{5} x-\frac{2}{5}[/tex]
point-slope: [tex]y-2=\frac{-4}{5} (x+3)[/tex]
Step-by-step explanation:
The slope-intercept form of a line is written as y = mx + b, where m is the slope and b is the y-intercept.
The point-slope form of a line is written as y - y1 = m(x - x1), where (x1, y1) is a given point and m is the slope.
Here, we see that the slope is -4/5, which means that m = -4/5. Since we're given a point (-3, 2), let's go ahead and just write the point-slope form already. (x1, y1) = (-3, 2) so x1 = -3 and y1 = 2. Then:
y - y1 = m(x - x1)
y - 2 = (-4/5) * (x + 3)
[tex]y-2=\frac{-4}{5} (x+3)[/tex]
Now, we want to find the slope-intercept form, so we need to figure out the y-intercept. Well, first, let's plug in what we know:
y = mx + b
y = (-4/5)x + b
Any point on this line will satisfy the above equation. Since (-3, 2) is on this line, if we plug -3 in for x and 2 in for y, the equation should hold true, so we can solve for b:
y = (-4/5)x + b
2 = (-4/5) * (-3) + b
2 = 12/5 + b
b = -2/5
So, the y-intercept is -2/5. Then the slope-intercept form is:
[tex]y=\frac{-4}{5} x-\frac{2}{5}[/tex]
Thus, our two equations are:
slope-intercept: [tex]y=\frac{-4}{5} x-\frac{2}{5}[/tex]
point-slope: [tex]y-2=\frac{-4}{5} (x+3)[/tex]
Science question help
Answer: the first one.
Step-by-step explanation:
Which of these is also (always) a rhombus? (Select all that apply.)
A. Quadrilateral
B. Parallelogram
C. Rectangle
D. Square
E. Kite
F. Trapezoid
Answer:
A square and maybe a kite.
Step-by-step explanation:
Answer:
D. Square
Step-by-step explanation:
Here is a good images that explains what is what:
Read it from bottom to top. It cannot be reversed.
A town is storing salt for the winter in a cylindrical building. The building has a radius of 5 ft and is 30 ft tall. The building contains 1,500 ft3 of salt. What is the approximate height that the salt reaches in the building?
The answer are:
A. 0.5 ft
B. 5 ft
C. 19 ft
D. 22 ft
Answer:
To start off, we know the problem involves something with volume as it is 3D and has a cubic in it.
We know r = 5, h = 30, and v = 1500
The volume for a cylinder in 3d is : V=[tex]\pi[/tex][tex]r^{2}[/tex]h
We're solving for the height when the cylinder has a volume of 1500, therefor, we will solve for height.
Using our volume equation we plug in all values except h because we're solving for it.
1500=[tex]\pi r^{2} h[/tex]
1500=[tex]\pi 5^{2} h[/tex]
1500=25[tex]\pi[/tex](h)
1500/25[tex]\pi[/tex] = h
60/[tex]\pi[/tex] = h
60/[tex]\pi[/tex] = 19.0985
H is 19ft. (C)
Please help with this math question...
When using Interval Notation, explain how the grouping symbols are used and how to determine the order of the numbers used in the interval. Use words such as: brackets, smallest, non-included, included, largest, interval, and parentheses.
Answer:
Step I: Simplify the operations inside grouping symbols. Step II: Simplify the powers. Step III: Solve multiplication and division from left to right. Step IV: Solve addition and subtraction from left to right.
A clothing factory produces 4 boxes of jackets every 3 days. At this rate, how long will it take the factory to produce 24 boxes of jackets? brainliest can be given if your quick!
Answer:
6 days to produce
Step-by-step explanation:
24÷4=6 days
The number of days that it will take the factory to produce 24 boxes of jackets is 6 days.
Calculation of the no of days:Since A clothing factory produces 4 boxes of jackets every 3 days.
Here the number of days should be
[tex]= 24\div 4[/tex]
= 6 days
Therefore, The number of days that it will take the factory to produce 24 boxes of jackets is 6 days.
Learn more about number here: https://brainly.com/question/2472437
A car dealer is calculating the list price for a used car. The dealer takes the initial price of the car and adds $259 dollars for cleaning and shipping the car to the dealer. The dealer then increases that price by 25% for the dealer’s profit. That price is then increased again by 10% for the salesperson’s commission. If a used car is initially priced $10,000, what will be the list price for this car?
Add the 259 to the initial price:
10,000 + 259 = 10,259
Increase that price by 25%, so multiply by 1.25:
10259 x 1.25 = 12,823.75
The price is then increased by another 10%, multiply by 1.10:
12,823.75 x 1.10 = 14,106.13
List price = $14,106.13
Solve by completing the square: x^2+3x-9=0
Step-by-step explanation:
x=-4.854 or x=1.854
hope this helps
Answer:
C edge 2020
Step-by-step explanation:
i got it right on the practice.
what is 17 - (-12)=
who knows the answer please help
Answer:
The answer is "29".
Step-by-step explanation:
17 - ( -12) =
17 + 12 =
= 29
Answer:
The answer is 29
Step-by-step explanation:
the answer is 29
(Help needed ASAP) Michelle has a balance of $950 in a savings account that pays 3% interest compounded annually. If Michelle makes no deposits or withdrawals, how much money will be in her savings account after 2 years?
A)$1,007.00
B)$1,007.86
C)$1,004.00
D)$954.81
Answer:
i think its C....
Step-by-step explanation:
Find the volume of a cylinder with a radius of 4 in and a height that is 3 times the radius
Answer:
Volume of a cylinder: V = π * r² * h ,
Base surface area of a cylinder: A_b = 2 * π * r² ,
Lateral surface area of a cylinder: A_l = 2 * π * r * h ,
Total surface area of a cylinder: A = A_b + A_l ,
Step-by-step explanation:
So, when the radius is tripled, the volume will be 3 squared = 9 times than the previous one.
Answer:
602.88 in^3
Step-by-step explanation:
3.14 * 4^2 * 12
3.14 * 16 * 12
50.24 * 12
(50 * 12) + (0.24 * 12)
600 + 2.88
602.88 in^3
please... help.. me.......
Answer:
The last one
Step-by-step explanation:
Solve for x. 0.2(8x-4)=0.3(10-2x)
Answer:
x = 1.727
Step-by-step explanation:
0.2(8x-4) = 0.3(10-2x)
1.6x - 0.8 = 3 - 0.6x
2.2x = 3.8
x = 1.727
hope this helps, pls mark brainliest :D
Can someone help me plz I will mark brainliest
13d+8=-1
b=?
need answer
Answer:
d=[tex]\frac{-9}{13}[/tex]
Step-by-step explanation:
Original equation: 13d+8=-1
1. Subtract 8 from both sides of the equation to get:
13d=-9
2. Divide both sides by 13 to get:
d=[tex]\frac{-9}{13}[/tex]
Answer:
-9/13
Step-by-step explanation:
i took the iready quiz
For which value of a will the equation 3x – 2 = 3x – a have an infinite number of solutions?
A. 2
B. 3
C. 4
D. 5
Answer:
A.2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
y=2,y=-1/2 thats the equation but it told me to write more idk why
More information is needed.
Pls help I’m literally gonna fail this. It’s dependent variables I suck at this because of the fractions. ILL GIVE BRAINLIEST IF YOU GET IT RIGHT! Number it like pls help and give an explanation I’m literally stuck
Picture 1:
1. 2 3. Etc
Picture 2.
1. 2. 3
Answer:he aspect ratio of an image is the ratio of its width to its height. It is commonly expressed as two numbers separated by a colon, as in 16:9. ... In still camera photography, the most common aspect ratios are 4:3, 3:2, and more recently found in ... In motion picture formats, the physical size of the film area between the sprocket ...
Step-by-step
State the x-intercept and the y-intercept of the line.
a.-10;5
b.-9;5
c.-10;4
d.-11;6
The volume of a cylinder is 401.92 cubic inches.
If the height of the cylinder is 2 inches, what is
its radius?
Two rectangles are similar. The ratio of the length of rectangle A to the length of rectangle B is 1:4. If the length of rectangle B is 14 meters, what is the length of rectangle A?
Answer:
Hey have you tried on your own to make sure you understand it?
Step-by-step explanation:
Layton conducts an experiment throughout the school year to determine the most common answer
choice used by teachers at his school. The data he collected is shown in the table.
Which of the following is a valid conclusion based on the data he collected?
A. A student would be equally likely to select answer choice C as they would to select answer
choice A and D
B. A student would be equally likely to select answer choice A and B as they would to select
answer choice C
C. A student would be twice as likely to select answer choice C than answer choice A
D. A student would be less likely to select answer choice B than answer choice A
Answer:
pick a because the data is better for that chart
What is the slope of the line that passes through the points (6, 7) and (4, 1)?
Answer:
m = 3
Step-by-step explanation:
[tex]m=\frac{1-7}{4-6}=\frac{-6}{-2}=\boxed{3}[/tex]
Hope this helps.
Answer:
3
Step-by-step explanation:
y¹-y²
------
x¹-x²
substitute then solve.
7-1 6
------ --> ----
6-4 2
6/2=3 so slope is 3.
6th grade math help me pleasee
--------------------
1. Kris
2. Katie
---------------------
Which expression is equivalent to 4h ÷ 5?
Answer: 4h/5
Step-by-step explanation:
Emma goes miniature golfing. She pays $7.50 for an admission ticket and $6.25 for each round she golfs. The total amount Emma pays for admission and the number of rounds she golfs is $26.25. Which equation can be used to determine the number of rounds, x, that Emma golfs?
Answer:
The equation that can be used to determine the number of rounds that Emma golfs is:
x=(c-7.50)/6.25
Step-by-step explanation:
From the information given, the total amount Emma pays to go miniature golfing is equal to the price of the admission ticket plus the result of multiplying the price per round of golf for the number of rounds and according to this, the equation would be:
c=7.50+6.25x, where:
c is the total cost for Emma to go miniature golfing
x is the number of rounds
Now, you can solve for x to determine the equation that can be used to find the number of rounds that Emma golfs:
x=(c-7.50)/6.25
You can replace c with 26.25:
x=(26.25-7.50)/6.25
x=18.75/6.25
x=3