and side q has a
In the 30-60-90 triangle below, side s has a length of
length of
30°
g
10
90°
60°
S
A. 5.10.15
B. 10.13.20
C. 105: 105
Answers
Answer:
E
Step-by-step explanation:
Using the cosine and sine ratios in the right triangle and the exact values
cos60° = [tex]\frac{1}{2}[/tex] , sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{s}{10}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2s = 10 ( divide both sides by 2 )
s = 5
------------------------------
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{q}{10}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2q = 10[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
q = 5[tex]\sqrt{3}[/tex]
Related Questions
Hey can someone please help me in this question?
Answers
Answer:
£48
Step-by-step explanation:
Area of walls = area of four rectangular walls + area of two triangular shape at front and back
Area of a rectangular wall = l *w = 8 * 4 = 32 m²
Area of 4 rectangular walls = 4 *32 = 128 m²
Triangle:
Base = 6m
height = h = 7 - 4 = 3 m
Area of triangle = (1/2)*b*h
[tex]= \dfrac{1}{2}*6*3 = 3*3 = 9 \ m^{2}[/tex]
Area of 2 triangles = 2*9 = 18 m²
Area of four walls = 128 + 18 = 146 m²
Number of paint tins required = 146 ÷ 25 = 5.84 = 6
6 tins are required.
Cost of 6 tins = 8 * 6 = £48
If the side lengths are
doubled, then which of
the following
statements about its
perimeter will be true?
The new perimeter will be
times the old
Answers
Answer:
It would be 2 times the old perimeter.
AB - x^2 - 18, CD=3x, m
Answers
Answer:
13Step-by-step explanation:
Jagdish dj dj dj dj dj hahaha
3 feet + 7 inches = ___ inches
Answers
Answer:
10
because when you plus 3+7 is 10
12 inches x 3 feet = 36 inches
36 + 7 = 41 inches
Answer: 41 inches
Problem 2
A recipe for sparkling grape juice calls for 112 quarts of sparkling water and 34 quart of grape juice.
How much sparkling water would you need to mix with 9 quarts of grape juice? Response area of sparkling water.
How much grape juice would you need to mix with 154quarts of sparkling water? -- area of grape juice.
How much of each ingredient would you need to make 100 quarts of punch? ---- area of sparkling water and Response area of grape jui
Answers
Answer:
m
Step-by-step explanation:
The ratio of students in Class X to Class Y is 2 : 5. There are 24 more students in Class Y than Class X. How many students must transfer from Class Y to Class X so that both classes have equal number of students?
Answers
Answer: 12 students
Step-by-step explanation:
Let X and Y stand for the number of students in each respective class.
We know:
X/Y = 2/5, and
Y = X+24
We want to find the number of students, x, that when transferred from Y to X, will make the classes equal in size. We can express this as:
(Y-x)/(X+x) = 1
---
We can rearrange X/Y = 2/5 to:
X = 2Y/5
The use this value of X in the second equation:
Y = X+24
Y =2Y/5+24
5Y = 2Y + 120
3Y = 120
Y = 40
Since Y = X+24
40 = X + 24
X = 16
--
Now we want x, the number of students transferring from Class Y to Class X, to be a value such that X = Y:
(Y-x)=(X+x)
(40-x)=(16+x)
24 = 2x
x = 12
12 students must transfer to the more difficult, very early morning, class.
What is the discriminant of the quadratic equation 9x^2+5x-9=0
Answers
Answer:
Δ = 349
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 ) , then the discriminant is
Δ = b² - 4ac
9x² + 5x - 9 = 0 ← is in standard form
with a = 9, b = 5 , c = - 9 , then
b² - 4ac
= 5² - (4 × 9 × - 9)
= 25 - (- 324)
= 25 + 324
= 349
y = - 4x + 3 & x - 4y = 8 : parallel or perpendicular or neither
Answers
Answer:
perpendicular
Step-by-step explanation:
Parallel lines have equal slopes
The product of the slopes of perpendicular lines = - 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 4x + 3 ← is in slope- intercept form
with slope m = - 4
x - 4y = 8 ( subtract x from both sides )
- 4y = - x + 8 ( divide through by - 4 )
y = [tex]\frac{1}{4}[/tex] x + 2 ← in slope- intercept form
with slope m = [tex]\frac{1}{4}[/tex]
Since the slopes are not equal the lines are not parallel
- 4 × [tex]\frac{1}{4}[/tex] = - 1
Then the lines are perpendicular
Please help if you can! How many possible combinations of two number cubes, numbered 1 through 6, would add up to exactly 7?
Answers
Answer:
1. 1+6
2. 2+5
3. 3+4
4. 4+3
5. 5+2
6. 1+6
Step-by-step explanation:
Which is equivalent to the expression below?
5(x + 5)
Group of answer choices
x + 25
5x + 25
5x + 10
x + 10
Answers
Answer:
The answer is 5x + 25
Explanation:
Apply distribution
distribute 5 to the equation inside the parenthesis
5x + 5 × 5
5x + 25
he directions for Grow Better fertilizer say that the 25-pound bag covers a 1,000-foot row of vegetables Which brand would Cala need more of to fertilize her vegetables? Explain
Answers
Using the principle of proportional relationship, the amount in pounds of Grow better Fertilizer exceeds the required amount of Feed all Fertilizer. Hence, more of Grow better Fertilizer would be needed.
Feed - All Fertilizer :
2 pounds = 100 foot row
x pounds = 450 foot row
Cross multiply
100x = 900
Divide both sides by 100
x = 900 / 100
x = 9 pounds
Grow better Fertilizer :
25 pounds = 1000 foot rows
x pounds = 450 foot rows
Cross multiply
1000x = 450 × 25
1000x = 11250
Divide both sides by 1000
x = 11250 / 1000
x = 11.25 pounds
Hence, Cala will need more of Grow better Fertilizer.
Learn more : https://brainly.com/question/25677544
Elena is paid a constant rate for each hour she works. The table shows the amounts of money that Elena earned for various amounts of
time that she worked.
Answers
Constant rates are used to illustrate linear functions.
The average rate of change is $9.0 per hourThe function that models the table is: [tex]\mathbf{f(x) = 9x }[/tex]The amount earned in 7.5 hours is $67.5(a) The average rate of change
This is calculated using:
[tex]\mathbf{Rate = \frac{y_2 -y_1}{x_2 -x_1}}[/tex]
So, we have:
[tex]\mathbf{Rate = \frac{31.5-22.50}{3.5 - 2.5}}[/tex]
[tex]\mathbf{Rate = \frac{9}{1.0}}[/tex]
[tex]\mathbf{Rate = 9.0}[/tex]
Hence, the average rate of change is $9.0 per hour
(b) A function that models the table of values
Let x represent hours, and y represent the earnings.
So, we have:
[tex]\mathbf{y =m (x - x_1) + y_1}[/tex]
Where:
m =Rate = 9.0
So, we have:
[tex]\mathbf{y = 9(x - 2.5) + 22.5}[/tex]
Expand
[tex]\mathbf{y = 9x - 22.5 + 22.5}[/tex]
[tex]\mathbf{y = 9x }[/tex]
Represent as a function
[tex]\mathbf{f(x) = 9x }[/tex]
Hence, the function that models the table is: [tex]\mathbf{f(x) = 9x }[/tex]
(c) Amount earned for 7.5 hours
This means that x = 7.5
So, we have:
[tex]\mathbf{f(7.5) = 9 \times 7.5 }[/tex]
[tex]\mathbf{f(7.5) = 67.5}[/tex]
Hence, the amount earned in 7.5 hours is $67.5
Read more about constant rates at:
https://brainly.com/question/23184115
Please help it’s so hard for me
Answers
Answer:
Answer is d
Step-by-step explanation:
Write a word problem that
could represent the equation
below. Then solve the
equation
7y + 3 = 101
-PLEASE HELP IM FR HALF ASLEEP-
Answers
Answer:
y = 14
You have to travel 101 miles. On the first day, you traveled 3 miles. How many miles do you need to travel each day after that to reach your destination in 7 days?
Step-by-step explanation:
You have to travel 101 miles. On the first day, you traveled 3 miles. How many miles do you need to travel each day after that to reach your destination in 7 days?
7y=98
y=14
Answer: 14
Step-by-step explanation:
First you do 3 - 3 which cancels each other out.
2nd step :
you do 101 - 3 which equals 98
3rd step :
Divide 98 by 7 and your final answer is 14 !! <3
A planee is flying at a speed of 250 miles per hour. How long does it take to fly 250 (show steps)
Answers
Answer:
1
Step-by-step explanation:
If the plane goes 250 per HOUR, then it will take that one hour to get to 250
HELP AWARDING BRAINLIEST
Answers
Answer:
Either 2.34 or 2.345
Step-by-step explanation:
Which graph has exactly one y-intercept
Answers
Answer:
B
Step-by-step explanation:
It touches the y-axis (one y - intercept)
It also touches the x-axis( one x-intercept)
-Chetan K
If Rick buys a remote control car for $33.00, what is his selling price?
Answers
Answer:
a
Step-by-step explanation:
Please help, will mark brainliest!!! :D
btw, you can just answer in A B C D; A is upper left, B is upper right, C is lower left, D is lower right.
THANK YOUUUUUUUUUUUUU
Answers
Answer:
D because that the only that make sense
Step-by-step explanation:
Mr. Green is still repairing that old, rundown house he recently purchased. He finally fixed that leaky faucet in the kitchen, but now the bathroom faucet is leaking. He’s wondering if the dripping rate is the same as the kitchen, so again he starts his observations. However, this time he notes that for the bathroom faucet, 8 ounces of water dripped in 12 minutes.
A) At this rate, how many ounces of water will drip in a day?
Answers
Answer:
960 ounces in 1 day
(Sorry for a late response, I just logged on)
Step-by-step explanation:
Most of that information is negligable (not important) besides 8 ounces in 12 minutes.
so an hour is 60 minutes, if we multiply both parts of the problem by 5 we get
40 ounces in 1 hour
a day is 24 hours, so if we multiply both sides by 24 well get our answer
960 ounces a day
-- Gage Millar, Algebra 1/2 tutor
Answer:
960 ounces
Step-by-step explanation:
First, let's find how much water will drip in an hour (60 minutes), so we can make an equation:
8/12 = x/60
And if you multiply both sides of the equation by 60 you will get 8*5 = x which is 40. So, we know that in one hour, 40 ounces of water will drip from the bathroom faucet. To find how much water will drip in a day, just multiply 40 by 24 (since there are 24 hours in a day). That would result in 960.
I need assistance on this question please
X-3y=24
Answers
Answer:
x = -24 + 3y
Step-by-step explanation:
what is the pathgoren therem
Answers
A, B, C and D are four towns. B is 30 kilometres due east of A. C is due 30 kilometres north of A. D is due 45 kilometres due south of B. Calculate the bearing of D from B
ONLY ANSWER QUESTION B PLEASE
Giving lots of points
I will give brainlist
NO FRAUDS
Answers
Answer:
213.7°
Step-by-step explanation:
The bearing of B from D is angle ADB, Thus, ∠ADB = arctan(30/45) ≈ 33.7°
The bearing of D from B is that angle plus 180°, Thus, 180° +33.7° = 213.7°
-----------------------------------------------------------------------------------------------------------
Part A: 135
Part B: 213.7
------------------------------------------------------------------------------------------------------------
[RevyBreeze]
MATE!
213.7°
The bearing of B from D is angle ADB, Thus, ∠ADB = arctan(30/45) ≈ 33.7°
The bearing of D from B is that angle plus 180°, Thus, 180° +33.7° = 213.7°
Part A: 135
Part B: 213.7
5. Do you find similarities between the rules of adding & subtracting dissimilar fractions and
adding & subtracting dissimilar rational algebraic expressions?
Answers
Answer:
First, we will change dissimilar fractions into similar fractions by finding the least common denominator. Second, add them like similar fractions. And then finally, convert the answer in the lowest term. Example No.6 Subtract 3/4 from 4/5. What will be our least common denominator? The least common multiple of 5 and 4 is 20. That was an Example
Step-by-step explanation:
Jemina has 4 dogs, 8 cats and 12 fish as pets at her house.
What is the ratio of cats to all of her pets?
Answers
Answer:
8:16
Step-by-step explanation:
At 1:40 PM, the temperature is 99˚F. For the rest of the evening, the temperature drops an average of 4˚F per hour. Write an equation in slope-intercept form to represent the temperature y after x hours.
Answers
Answer:
Y=-4x+99
Step-by-step explanation:
Your y intercept is always the last number in the equation
The equation in slope-intercept form to represent the temperature y after x hour is Y=-4x+99
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
The slope of the line is calculated as follows:
m = Δy/Δx
Given that At 1:40 PM, the temperature is 99˚F. For the rest of the evening, the temperature drops an average of 4˚F per hour.
Therefore, the slope of the line is;
m = Δy/Δx
m = 4
The equation in slope-intercept form is;
Y=-4x+99
To know more about the Slope of the line here;
brainly.com/question/14511992
#SPJ2
Help needed! Please and thanks
Answers
Answer:
8.125 inches
Step-by-step explanation:
Ok so basically what you needed to do was this
Find out what was the value like this 3 1/4 = 3.25 and 2 1/2 = 2.5
Then you will do
3.25 x 2.5 and get your answer
8.125
There you go! Have a Wonderful Day
Slope is represented by the letter ____________ and the y-intercept is represented by the letter _______________ and is where the graph ________________________________
Answers
Answer:
Slope is represented by the letter M and the y-intercept is represented by the letter B and is where the graph intersects the y axis.
Step-by-step explanation:
y = mx+b, where y and x are variables and m is the slope and b is the y-intercept
Hope that helps
HELPPP ASAP
A:60
B:75
C:10
D:30
Answers
Answer:
look at the photo...............Ms. Suzuki is buying soda for the pizza party her class earned. She estimates that each of her
24 students will drink 250 milliliters of soda on average. How many 2-liter bottles of soda
should she buy?
Answers
Answer: 3
Step-by-step explanation:
There are 24 students
1 student = 250 ml
24 students = 250ml x 24
= 6000 ml
To convert from millilitres to litres, divide by 1000
6000ml = 6000/1000l = 6 litres
2litres = 1 bottle
6 litres = 6/2 = 3 bottles
Therefore, she will need 3 2-litre bottles of soda
Answer:
The answer is 3
Step-by-step explanation: