Answers
Given:
A figure of a right angle triangle.
To find:
The value of x.
Solution:
In a right angle triangle,
[tex]\tan \theta = \dfrac{Opposite}{Adjacent}[/tex]
In the given triangle,
[tex]\tan (30^\circ) = \dfrac{x}{7}[/tex]
[tex]\dfrac{1}{\sqrt{3}}=\dfrac{x}{7}[/tex]
On multiplying both sides by 7, we get
[tex]\dfrac{7}{\sqrt{3}}=x[/tex]
Therefore, the value of x is [tex]x=\dfrac{7}{\sqrt{3}}[/tex].
Related Questions
the path of a toy rocket is modelled by the equation y=-x^2+6x+2, where x is the horizontal distance, in metres, travelled and y is the height, in metres, of the toy rocket above the ground. what is the maximum height of the toy rocket? at what horizontal distance does the maximum height occur?
Answers
Answer:
The path of a toy rocket is defined by the relation y=-3x^2+11x+4, where x is the horizontal distance, in meters, traveled and y is the height, in metres, above the ground.
Determine the zeros of the relation.
-3x^2 + 11x + 4 = 0
---
3x^2 - 11x -4 = 0
Factor:
3x^2 - 12x + x - 4 = 0
---
3x(x-4) + x-4 = 0
---
(x-4)(3x+1) = 0
---
x = 4 or x = -1/3
============================
f(x) = -3x^2+11x+4
How far has the rocket traveled horizontally when it lands on the ground?
4 ft.
==================
What is the maximum height of the rocket above the ground, to the nearest hundredth of a meter?
---
max occurs when x = -b/2a = -11/(2*-3) = 11/6
height = f(11/6) = 14.083 ft
HELP PLSSSSSESSSSSSSSSSSS
Answers
Answer:
Step-by-step explanation:
10(3)+2(10)(4)+2(3)(4)=30+80+24
=134
Please help!! It is timed..
Answers
Pleaseeeee helppp answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answers
Answer:
x = 6
Step-by-step explanation:
(5x-24)/2 = 3
2.5x - 12 = 3
2.5x = 15
x = 6
(Dance class) pleaseeeeeee help
Answers
Answer: freestyle
Step-by-step explanation:
fill in the blanks and use each number once
Answers
I think this is the solution. I don't think you are supposed to use PEMDAS.
∠A and ∠B are vertical angles.
If m∠A=8x+14 and m∠B=2x+50, what is m∠B?
Answers
8x+14=2x+50
10x=36
x=3.6
m∠B=2x+50
2(3.6)+50
7.2+50
57.2
LA BASE DE UN RECTANGULO ES 8 M MAYOR QUE LA ALTURA, EL AREA MIDE 65 METROS CUADRADOS ¿CUANTO MIDEN LA BASE Y ALTURA?
Answers
Answer:
23 m and 15 m
Step-by-step explanation:
THE BASE OF A RECTANGLE IS 8 M GREATER THAN THE HEIGHT, THE AREA MEASURES 65 SQUARE METERS HOW MUCH DO THE BASE AND HEIGHT MEASURE?
Let the height of the rectangle is h.
Base = 8+h
Area of the rectangle, A = 65 m²
We need to find the base and height of the rectangle. The area of a rectangle is given by :
A = bh
So,
[tex]65=(8+h)\times h\\\\65=8h+h^2\\\\h^2+8h-65=0\\\\(h-5)(h+13)=0\\\\h=5\ m\ \text{and}\ x=-13\ m[/tex]
Neglecting negative value, h = 15 m
Base = 8+15 = 23 m
So, the base and height of the rectangle is 23 m and 15 m respectively.
what is the y from for 5y+4x=-20 NEED HELP ASAP
Answers
Answer: y=−4/5x−4
Step-by-step explanation:
5y+4x=−20
Step 1: Add -4x to both sides. 4x+5y+−4x=−20+−4x 5y=−4x−20
Step 2: Divide both sides by 5.
y=−4/5x−4
Opens right, a=3, vertex: (-5, -2)
Answers
Answer:
What.... what do you need help with
Step-by-step explanation:
Explanation
84 people attended a play. Of the 84 students 1/3 of them where parents. How many parents were in the adduince
Answers
Cullen said that multiplying a fraction by a fraction equivalent to 1 always results in a fraction that has the same value as the original fraction. Is he correct?
Answers
Ex:
3/3 * 1/1 = 3/3
because 3x1 = 3
f(5) = ? It is not 5 as I tried at, and not f5
Answers
Answer:
ALT + F5
Step-by-step explanation:
Answer:
where is the equation?
Kiri and Peter share some sweets in the ratio 6:7
What fraction of the sweets does Kiri recieve?
Answers
Answer:
6/13
Step-by-step explanation:
Sweets received by Kari = 6
Total number of sweets = 6 + 7 = 13
Fraction of sweets received by Kari = 6/13
Calculate the product using partial products
1. 14.9 x 100=
Answers
Answer:
The answer is 1490
Step-by-step explanation:
u just throw the two zeros from the hundred to the back
The correct answer is,
[tex]1490.0[/tex]
Find the total surface area of a cylinder whose diameter is 28 cm and height is 11 cm.
Answers
Answer:
2199.11 (with pi)
2198 (with 3.14)
Step-by-step explanation:
A=2πrh+2πr²
A=2π(14)(11)+2π(14)²
A=2π(154)+2π(196)
A=2(483.56)+2(615.44)
A=967.12+1230.88
help please????????????????????
Answers
8,8,8 este primull!!!!!!! sper că te-am ajutat
unknown variables in Equations
1. 7=w/14
2.42/n=7
3. 324/18=a
Answers
Answer:
w = 98
n = 6
a = 18
Step-by-step explanation:
Question 1)
7 = w/ 14
All you need to do is multiply each side by 14 to find w:
7(14) = W
W = 98
Question 2)
42/n = 7
For this one, first multiply each side by "n":
42 = 7n
and then divide both sides by 7:
N = 6
Question 3)
All you need to do for this question is divide 324 by 18 to find "a":
324/18 = a
a = 18
I hope this helps!
-TheBusinessMan
You receive an $18 commission on a
$18 commission on a $300 TV that you
sold. What percent commission did you earn?
What the answer ?
Answers
Answer:
6%
Step-by-step explanation:
300 ÷ 3 = 100
18 ÷ 3 = 6
Chau made a shirt using 3/8 yards of green fabric and 1/4 yards of blue fabric . How many more yards of green fabric did chau use ?
Write your answer as a fraction in simplest form .
Answers
Answer:
1/8 more yards
Step-by-step explanation:
ez
HELP i’m trying to figure this out can anyone help?? the quistion is at the top of the picture.
Answers
Answer:
3/2
Step-by-step explanation:
The first step is finding two points. (4,6) and (0,0) are two easy points to use.
To find the slope, find the change of y over the change of x.
(6-0)/(4-0) = 6/4 = 3/2
Combine like terms: -12 +4C -25 + (-6x) + (3c) - (-3x)
Answers
Answer:
7c-3x-37 , this is correct answer
help me with this please and i will give brainlest
Answers
Answer:
stop asking me like I'm doing school
Find the inverse of 3x - 6
3x - 6
3x - 6
-3x + 6
-3x + 6
3x + 6
3x + 6
-3x + 6
Answers
Answer:
3x+6 is inverse of 3x-6.it is a additive inverse and if we add both we get 0.
Which of the following materials will conduct electricity well?
Answers
Answer:
Step-by-step explanation:
Most metal conduct electricity well. To be more specific, anything with conduction or "free" electrons will conduct electricity very well.
bob is picking randomly from a bag containing tiles member 1 to 10. write down the probability that the number he picks is 7
Answers
Answer:
Step-by-step explanation:
a) No of outcomes= 7
total no of outcomes= 10
probability = no of outcomes/total no of outcomes
=7/10
b) 4/10 ( since the outcomes could be 1,2,3,4)
c) no 1 to 10 has 5 odd numbers
so, probability = 5/10 = 1/2
d) multiples of 3 from 1 to 10 are :-
3,6,9= 3 no's
so probability = 3/10
Last year, Amy had $20000 to invest. She invested some of it in an account that paid 8% simple interest per year, and she invested the rest in an account that paid 9% simple interest per year. After one year, she received a total of $1690 in interest. How much did she invest in each account?
Answers
Answer:
Amount invested at 8% rate of interest = $11000
Amount invested at 9% rate of interest = $9000
Step-by-step explanation:
Let Amy invested amount in a account with 8% simple interest = $a
Then the interest gained after one year = [tex]\frac{\text{Principal amount}\times \text{Rate of interest}\times \text{Time}}{100}[/tex]
= [tex]\frac{a\times 8\times 1}{100}[/tex]
= 0.08a
Remaining amount for the investment = $(20000 - a)
Interest earned after one year with rate of interest 9%
= [tex]\frac{(20000-a)\times 9\times 1}{100}[/tex]
= $(1800 - 0.09a)
Total interest earned after 1 year = $1690
0.08a + (1800 - 0.09a) = 1690
1800 - 0.01a = 1690
0.01a = 110
a = $11000
Amount invested at 8% rate of interest = $11000
Amount invested at 9% rate of interest = $(20000 - 11000) = $9000
i need someone to help me understand this and questions like this
Answers
Answer:
a >= -3
Step-by-step explanation:
So A
Please answer the question in the photo, thanks!
Answers
Answer:
[tex]\therefore 2\dfrac{1}{3} \div \left ( -3\dfrac{2}{3} \right ) = -\dfrac{7}{11}[/tex]
Step-by-step explanation:
The question relates to dividing a fraction by proper and another fraction
The given expression is presented as follows;
[tex]2\dfrac{1}{3} \div \left ( -3\dfrac{2}{3} \right )[/tex]
We rearrange the fractions as improper fractions for easier division as follows;
[tex]2\dfrac{1}{3} = \dfrac{7}{3}[/tex]
[tex]-3\dfrac{2}{3} = -\dfrac{11}{3}[/tex]
Therefore, we have;
[tex]2\dfrac{1}{3} \div \left ( -3\dfrac{2}{3} \right ) = \dfrac{7}{3} \div \left (-\dfrac{11}{3} \right ) = \dfrac{7}{3} \times \left (\dfrac{1}{-\dfrac{11}{3} } \right ) = \dfrac{7}{3} \div \left (-\dfrac{3}{11} \right ) =-\dfrac{7}{11}[/tex]
[tex]\therefore 2\dfrac{1}{3} \div \left ( -3\dfrac{2}{3} \right ) = -\dfrac{7}{11}[/tex]
A college has a student to teacher ratio of 35 to 2. If there are 170 teachers at the college, how many students attend the
college?
Answer: 2,975
Answers
Answer: 2975
Step-by-step explanation:
From the question, we are informed that a college has a student to teacher ratio of 35 to 2 and that there are 170 teachers at the college,
The number of students in the college will then bee calculated as:
= 35 × 170/2
= 35 × 85
= 2975
Therefore, 2975 students attend the college