Select the correct answer.
What is the value of y in the triangle?
y
30°
60°
6
O A.
3
OB. 6
C. 673
D.
33
Answers
This is a special kind of right triangle, called a 30-60-90 triangle.
Across from the 30 degree angle, the side is equal to x. Across from the 60 degree angle, the side is equal to x[tex]\sqrt{3}[/tex]. And across from the 90 degree angle, the side is equal to 2x.
Using what we know about 30-60-90 triangles, lets first solve for x. We know that the hypotenuse, given, is equal to 6.
2x = 6
x = 3
Then, we are looking for the side opposite of the 60 degree angle. So its value is x[tex]\sqrt{3}[/tex].
x = 3
3 * [tex]\sqrt{3}[/tex] = 3 [tex]\sqrt{3}[/tex]
y = 3[tex]\sqrt{3}[/tex] (option D)
Hope this helps!! :)
The value of y for the given triangle will be 3√3, hence option (D) will be correct.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
Right angle triangles are triangles in which one angle is 90°.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
Given a right-angle triangle
Let the side opposite to 30° is perpendicular and the remaining y will be base.
By trigonometric relation
cosx = base/hypotenuse
cos30° = y/6
y = 6 × cos30° ⇒ y = 6 × √3/2
y = 3√3 hence the value of the hypotenuse or y will be 3√3.
For more about triangles,
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Related Questions
Rewrite the equation by completing the square.
x^2 - 4x + 3 = 0
Answers
Answer:
the answer would be x=3,1
Answer:
After completing the square, we can say:
(x - 2)² = 1
If we solve for x, this tells us that x has a value of both 1 and 3.
Step-by-step explanation:
Given:
x² - 4x + 3 = 0
We can complete the square by adding 1 to both sides:
x² - 4x + 4 = 1
(x - 2)² = 1
We can then solve for x by saying:
(x - 2)² = 1
x - 2 = √1
x = 2 ± 1
x = 1, 3
Translate this into a inequality, "The sum of twice a number and 15 is greater than 3.
Answers
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
Leslie purchased a new bar of soap. Three days after she originally used
the soap, she was curious how much soap per day she was using. She
decide to weigh her soap and that the bar was 103 grams. Four day later
she re-measured the same bar of sop and record a weight of 80 grams.
Assuming that Leslie uses the same amount of soap daily (and that she
used soap daily), write an equation that shows that amount of soap
remaining after d days of use. *Hint: slope intercept form and you will
need the slope formula
Answers
Answer:
The equation is:
y= 103 --23d
Step-by-step explanation:
The initial amount was 103 grams.
After one day of use the remaining amount of soap was 80 grams.
So the amount of time he spent in one day was:
Each day Leslie spends 23 grams of soap.
if d represents the number of days elapsed then, the amount of soap "y" that Leslie spends after days is:
y= 103 --23d
The midpoint of RS is point T. What are the coordinates
of point S?
5
4
3
R (-2,3)
01 - 3
0 1 )
2
1
45 -4 -3 -2 -1
2
3
4
5
X
O (8,4)
(10,-7)
-2
T(4-2)
-3
Answers
Answer:
( 10,-7)
i didn't understand what u wrote in choice
The coordinates of the point S of the line RS having midpoint T are found to be (10, -7).
What is mid point?In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.
here, we have,
The points that are given to us are R(-2,3) and T(4, -2).
The point T is the mid point of the line segment RS.
If A(a, b) and B(c, d) are the two points then the mid point M of the two points will be,
M = ((a+c)/2), ((b+d/2))
So, using the above modified form of section formula we can find the coordinates of the point S.
Assuming point S to be x and y.
So, putting all the values,
(4, -2) = ((-2+x)/2), ((3+y/2))
Now, solving further, we get,
-1+x/2 = 4
-2+x = 8
x = 10
And,
3 + y = -4
y = -7
So, the coordinates are (10, -7).
To know more about mid point formula, visit,
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7a + 4- 2a = 7a +- 2a + 4=
. 5a
. 0
. -5
. 5a+4
Answers
Step-by-step explanation:
0 would be your answer
first you combine like terms and get 5a+4 on each side then you have to solve the equation.
help with question 1
Answers
Answer:
si=Ptr/100
and di solution
The masses of four vehicles and the net forces acting on them as they enter a highway are recorded in the table below. Vehicle Mass (kg) Force (N) Sedan 1400 5250 SUV 1900 5250 Truck 2100 5250 RV 2500 5250 Which vehicle has the greatest acceleration as it enters the highway?
Answers
Answer:
if you use Newton's 2nd rule:
F = m* a (force = mass * acceleration)
you can rearrange the terms to:
a = F/m (acceleration = Force/mass)
which will let you solve for acceleration.
simpliyfy (-3/7)^3 * (-3/7)^4
Answers
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
The square below has an area of x^2-10x+25 square meters
what expression represents the length of one side of the square?
Answers
Answer:
Answer: Expression that represents the length of one side of the square is x - 5.
I need help with this question
Answers
Answer:
a) 2.5 x 10^5
b) 8.1 x 10^4
c) 9.06 x 10^8
d) 1.034 x 10^10
In 2019, Chris made $142,000 as a dentist. Social Security tax was 6.2% to a maximum income of $132,900.
Medicare tax was 1.45% of all income. How much did Chris pay in FICA Taxes?
Type your answer
Answers
Answer: $10,298.80
Step-by-step explanation:
Chris made more than the limit required for the Social Security tax so his Social Security tax will be based on the maximum amount of $132,900.
His Social Security tax is therefore:
= 6.2% * 132,900
= $8,239.80
There are no limits for Medicare so Chris will pay taxes on the whole amount he earned of $ 142,000.
Medicare = 1.45% * 142,000
= $2,059
FICA tax = Social security + Medicare
= 8,239.80 + 2,059
= $10,298.80
A light bulb consumes 11700 watt-hours in 3 days and 6 hours. How many watt hours does it consume per day?
Answers
Answer:
3600 watt-hours consumed per day.
Step-by-step explanation:
First we'll want to find how many hours are in 3 days and 6 hours.
3 x 24 = 72 + 6 = 78
78 hours is 3 days and 6 hours.
We then divide 11700 by 78 to find out how many watt-hours it will consume per hour.
11700 / 78 = 150
Now that we know how many watt-hours it will consume per hour, we can multiply it by 24 to find out how many it will consume in a day.
150 x 24 = 3600
x + 7 = 12
i'm lost pls help me
Answers
Answer:
5
Step-by-step explanation:
12 - 7 = 5
x= 5
.....................................
Lateral surface area of this gift box
Answers
The lines shown below are parallel. If the green line has a slope of 5, what is
the slope of the red line?
A: -5
B: 5
C: -1/5
D: 1/5
Answers
Answer:
5
Step-by-step explanation:
For two lines to be parallel, they must have the same slope
since the slope of the green line is 5, the the red line will have the same slope as the green line,
The slope of the red line will therefore be 5
Please solve as soon as possible
Answers
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
BRAINLIEST FOR ANSWER PLEASE HURRY
Answers
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
Calculating Algebraic expressions and stuff. (See Attachment) Plz explain if you can.
Answers
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
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
Answers
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.
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
Answers
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
Solve the system below.
y = x2
y = –2x + 15
Answers
Answer:
since,
y = 2x and y = –2x + 15
then,
2x = –2x + 15
or, 4x = 15
or, x = 15/4
or, x = 3.75
Also,
y= 2x
= 2*3.75
= 7.5
Hope it helped
All the best!!
Answer:
Step-by-step explanation:
[tex]x^{2} = -2x^{2} +15[/tex]
add [tex]2x^{2}[/tex] to both sides
[tex]3x^{2} = 15[/tex]
divide each side by 3
[tex]x^{2} =5[/tex]
square root each side [tex]\sqrt{x^2} =\sqrt{5}[/tex]
[tex]x= 2.23606794[/tex] or rounded to the nearest hundredth [tex]x=2.24[/tex] or x = ±[tex]\sqrt{5}[/tex]
what is the length of line segment FH?
Answers
the answer is 7
A type of fish for your aquarium costs $9 each. You can spend at most $45. How many
of these fish can you buy? Write an inequality to model the problem. Then solve the
inequality to find the number of fish.
Answers
PLEASE MARK ME BRAINLEST
PLEASE HELP ME, JUST WITH THE SECOND ONE MATHH DECIMALSS QUICKKK PLSSS
Answers
hope it's helpful ❤❤❤
THANK YOU.
Answer:
4.35
Step-by-step explanation:
If the divisor have decimal places, multiply by 10, 100 ....
As denominator has one decimal place multiply denominator & numerator by 10
[tex]\frac{26.97*10}{6.2*10}= \frac{269.7}{62}[/tex]
= 4.35
Whats the opposite of 8x
Answers
Answer:
-8x
Step-by-step explanation:
Answer:
x/8
Step-by-step explanation:
To find the inverse, interchange the variables and solve for y.
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?
Answers
Answer: You could drive 1120 miles with 40 gallons of gas. The car's gas mileage is 28 miles on a gallon of gas.
SOLVE
[tex](2 x - 4) {?}^{2} [/tex]
Answers
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
need help please thanks
Answers
Answer:
6x-y = -18
Step-by-step explanation:
This is the total
- The highest common factor of two numbers is 175.
The lowest common multiple of these two numbers
is 12 600.
Both numbers are greater than their highest
common factor.
Find the two numbers.
Answers
Answer:
1400, 1575
Step-by-step explanation:
Two number: 175x , 175y (x and y no more common factor)
LCM: 175xy = 12600
xy = 72
72: (1,72) (2,36) (3,24) (4,18) (6,12) (8,9) only (8,9) fit no common factor
Two number: 8*175 = 1400 9*175 = 1575
(6,3) -> (-3/2x , 2/3y) -> (x + 6 , y - 4) -> (2/3x , -3/2y)
After these series of transformations, what will the final point be?
Answers
Answer:
Please refer to the attached image.