Answer:
x = √3
Step-by-step explanation:
Looking at the given triangle,
x is the adjacent side while 2 represents the hypotenuse side.
Now, from trigonometric ratios, we know that;
Adjacent/hypotenuse = cos θ
The angle here will be 30°
Thus;
x/2 = cos 30°
We are told to find x in simplest radical form with a rational denominator.
Thus means we will use the surf value of the angle.
cos 30° in surd form = (√3)/2
Thus;
x/2 = (√3)/2
x = 2 × (√3)/2
x = (√3)/1
x = √3
SOLVE
[tex](2 x - 4) {?}^{2} [/tex]
Answer:
4x² - 16.
Step-by-step explanation:
(2x-4)² =?
(2x-4)² = (2x)² - (4)²
= 4x² - 16.
Answer:
x = 2
Step-by-step explanation:
To solve , equate to zero, that is
(2x - 4)² = 0, so
2x - 4 = 0 ( add 4 to both sides )
2x = 4 ( divide both sides by 2 )
x = 2
pls help me I will mark
Answer:
6
Step-by-step explanation:
Slope is going up 6 and 1 across.
Answer:
6
Step-by-step explanation:
Calculate the rate of interest if principle is 6000 time is two years and interest 3000
Answer:
We conclude that the interest rate required to accumulate simple interest of $3,000 from a principal of $ 6,000.00 over 2 years is 25% per year.
Step-by-step explanation:
Given
Principle P = 6000
Time period t = 2 years
Interest I = 3000
To determine
Interest rate r = ?
Using the formula
I = Prt
r = I / Pt
substituting P = 6000 , t = 2, and I = 3000
r = 3000 / ( 6000 × 2 )
r = 3000 / 12000
r = 0.25
convering the decimal into percentage: 0.25×100 = 25%
r = 25%
Therefore, we conclude that the interest rate required to accumulate simple interest of $3,000 from a principal of $ 6,000.00 over 2 years is 25% per year.
Larry could ______ to make his budget work and afford the ticket.
Answer:
I need the answer choices
Step-by-step explanation:
The ratio of the length of a room to its width is 5 to 3. What is the width of a room if its length is 30 feet? Media558a6e2383191.Gif
Answer:
18ft
Step-by-step explanation:
Given data
Ratio of length to width = 5:3
Length = 30ft
Apply the part to part method
let the width be x
5/3= 30/x
cross multiply
5x= 30*3
5x= 90
x= 90/5
x=18 ft
Hence the width is 18ft
please find h and a
Answer:
h=12 + c=20
Step-by-step explanation:
a^2+b^2=c^2
9^2+h^2=15^2
15^2-9^2=h^2
225-81=h^2
144=h^2
[tex]\sqrt{144}[/tex] = h
12=h
a^2+b^2=c^2
16^2 + 12^2 = c^2
256+144=c^2
400=c^2
[tex]\sqrt{400}[/tex] = c
20=c
if 10^3x=1/0.001,find the value of x
Answer:
x = 1
Step-by-step explanation:
Firstly, look at the left hand of the equation
1/0.001 = 1000 = 10^3
then
10^3x = 1000= 10^3
then
10^3x = 10^3
then
x= 1
5.2x+8+2.1x-3 which is an equivalent expression by combining like terms A. 5.2x+8+2.1x-3 B. 5.2x+5+2.1x C 13.2x-0.9x D 7.3x+5
Answer: 7.3x + 5
Step-by-step explanation:
For us to solve the question, we have to solve 5.2x+8+2.1x-3 and the answer gotten will allow us know the equivalent expression.
= 5.2x+8+2.1x-3
= 5.2x + 2.1x + 8 - 3
= 7.3x + 5
Therefore, the correct answer is 7.3x + 5
A car can drive 560 miles on 10 gallons of gas. How many gallons of gas does the car need to drive 1,260 miles?
Answer: You could drive 1120 miles with 40 gallons of gas. The car's gas mileage is 28 miles on a gallon of gas.
Jordan signed a rental agreement for her new condo. Based on the contract, who is responsible for paying the gas, electric, and water bills? A. The owner B. The utility company C. Jordan D. Both the owner and Jordan
Answer:
Jordan
Step-by-step explanation:
BRAINLIEST FOR ANSWER PLEASE HURRY
Answer:
11.3
Step-by-step explanation:
Pythagorean theorem is a^2+b^2=c^2
8^2+8^2=128
the square root of 128 is 11.3137085
then you round to the nearest tenth and get 11.3
6.37x10^-2
Thanks to anyone who answers this.
Answer:
6.37 x 10^-2 =0.0637
Solve for x. Round to the nearest tenth.
Answer:
Step-by-step explanation:
Youre given the adjacent and hypotenuse, so you can use cosine. SOHCAHTOA
cos(37) = 48/x
x = 60.1
Which function matches the graph?
-2
a. f(x) = -2(x - 3)2 + 1
b. f(x) - 2(x+3)2 - 1
c. f(x) = (x+3)²+2
d.
A(x) = 1/(x - 3)² - 1
Answer:
Its a or c sorry if im wrong
(hope this helps :D hehe)
Step-by-step explanation:
Answer:
Please insert a graph.
Step-by-step explanation:
If you submit a picture of the graph on here, I will see how how I can help.
Translate this into a inequality, "The sum of twice a number and 15 is greater than 3.
Answer:
Step-by-step explanation:
2n+15>3
Answer:
2x + 15 > 3
IS THIS RHIGT?
eXPLANATION :
Twice a num = 2(x)
sum of it and 15 = 2x + 15
is greater than 3 = >3
so : 2x + 15 > 3
The measure of the second angle is 15 degrees more then the measure of the 1st angle. The measure of the 3rd angle is 45 degrees more than the measure of the 1st angle. Find the measures of the interior angles in the triangle.
Let the first angle be x
So, second angle = (x+15)°
and third angle= (x+ 45)°
Now,
x+ (x+15) + (x+45)= 180°. ( Triangle sum property)
x+x+x+15°+45° = 180°
3x+ 60° = 180°
3x= 180°-60°
3x= 120°
x= 120°/3
x= 40°
Now,
first angle=x= 40°
second angle = (x+15)°= 40°+15° = 55°
third angle= (x+45)° = 40°+45° = 85°
Hope it helps you. Please mark as brainliest if it does.
* HELP* A book sold 39,900 copies in its first month of release. Suppose this represents 8.2% of the number of copies sold to date. How many copies have been sold to date? Round your answer to the nearest whole number
Answer:
Total copies sold= 486,585
Step-by-step explanation:
Giving the following information:
Number of copies sold in the first month= 39,900
% of copies sold in the first month= 8.2%
To calculate the total number of copies sold, we need to use the following formula:
Total copies sold= Number of copies sold in the first month/% of copies sold in the first month
Total copies sold= 39,900 / 0.082
Total copies sold= 486,585
Find the mean of the first 7 odd prime number?
Answer: 75/7 or 10.71 (rounded)
Step-by-step explanation:
Mean = Average
To find the average you should add all the numbers together and then divide it by the amount of numbers.
In this question, the formula is [tex]\frac{n_1+n_2+n_3+n_4+n_5+n_6+n_7}{7}[/tex]
----------------------------------------------------------------------------------------
The list of the first 7 odd prime numbers:
3, 5, 7, 11, 13, 17, 19
Now, add them together
3+5+7+11+13+17+19=75
Divide the sum by 7
75÷7=75/7=10.71 (rounded)
Hope this helps!! :)
Please let me know if you have any questions
How do you solve 5(3x+10) using the rainbow method?
A storekeeper increased the price of hats by 5%.
Write an equation to calculate the increase of the total
cost, c, when the price of a hat is p dollars.
Select all that apply.
A c 1.50p
BC-,95p
cc 1.05p
Dc-1 + 05p
Ec-(1 + .05)p
Answer: c = 1.05p
Step-by-step explanation:
Price of the hat = p
Percentage increase in the price of the hat = 5%
The equation to calculate the increase of the total cost, c, of the hat will be:
c = p + (5% × p)
= p + (5/100 × p)
= p + (0.05 × p)
= p + 0.05p
c = 1.05p
Please solve as soon as possible
Answer:
.75
Step-by-step explanation:
Because three divided by four is .75
Answer:
Question 22: 0.75 or 75%
Question 23: 5:2
Step-by-step explanation:
Question 22: 3 divided by 4 equals 0.75
Question 23:
2.5 = 2.5/1
2.5 × 10/10 equals 25/10
25/10 divided by 5 equals 5/2
5/2= 5:2
simpliyfy (-3/7)^3 * (-3/7)^4
Answer:
Step-by-step explanation:
(-3/7)³ × (-3/7)⁴ = (-3/7)³⁺⁴ = (-3/7)⁷
Answer:
the answer to this question is (-3/7)^7
Write an expression equivalent to 46x + 12), and state the property you used to write it.
Answer:
2(23x+6) is correct answer
What is 4n-32? Factor your expression using the greatest common factor.
Answer:
4(n-8)
Step-by-step explanation:
take out 4 from 4n-32
so it's 4(n-8) coz 32÷4=8 so yeah
Calculating Algebraic expressions and stuff. (See Attachment) Plz explain if you can.
Answer:
no it is not correct
Step-by-step explanation:
it's kind of hard to explain in words so I'm sorry about that
hope it helps
John makes $400 per week. What does it mean for him to get a l50% salary raise. Explain in words and then give and example showing a calculation
Answer:
can some one give the answer
Step-by-step explanation:
pls
The image shown is an object formed from a cylinder and spherical hemisphere. The radius of the base is 7 cm and the height of the cylinder is 10 cm
(π = 22/7). The volume of the object is ....
A. 2258,67 cm3
B. 2618,33 cm3
C. 2926,67 cm3
D. 2977,33 cm3
Answer:
Volume = 2,258.67 cm³
Step-by-step explanation:
Volume of the object = volume of hemisphere + volume of cylinder
= ⅔πr³ +πr²h
Where,
π = 22/7
r = 7 cm
h = 10 cm
Volume = (⅔*22/7*7³) + (22/7*7²*10)
Volume = 2,258.67 cm³
Yolanda makes $11.25 per hour at her part-time job. During one week, she worked 12 2/5 hours and also earned some tips. Her final pay for the week was $159.50. How much money did Yolanda earn in tips?
Answer:
She earned $20 in tips.
Step-by-step explanation:
First, you need to work out how much pay she'd get for 12 hours work:
12 x $11.25 = $135 for 12 hours work
Then, find out 2/5 of $11.25 to find out how much she would get for the 2/5 of an hour she worked:
2/5 of $11.25 = $4.50
Add both these sums together to get her total pay for hours worked:
$135 + $4.50 = $139.50
Subtract that sum from her total pay to find out how much money she earned in tips:
$159.50 - $139.50 = $20
New York and Chicago are 4 inches apart on a map if the scale on a map is 1/2 inch equal 100 miles how many miles is it from New York to Chicago
i need help with 9th grade work
Answer: h(-1) is -3.
Step-by-step explanation: Given that the input of the function is -1, we can subsitute that for x.
2(-1) - 1
= -2 - 1
= -3.
Answer:
h (-1)
-3
Step-by-step explanation:
h (-1) = 2 (-1) - 1
simplify 2.. (-1) - 1
answer= -3