hey ok i need help on this question ive been stuck on it for a couple minutes haha
Answers
Answer:
The side s has a length of 4 and side q has a length of 4[tex]\sqrt{3}[/tex] ⇒ F
Step-by-step explanation:
In the 30°-60°-90° triangle, there is a ratio between its sides
side opp (30°) : side opp (60°) : hypotenuse
1 : [tex]\sqrt{3}[/tex] : 2
In the given triangle
∵ The side opposite to 30° is s
∵ The side opposite to 60° is q
∵ The hypotenuse is 8
→ Use the ratio above to find the lengths of s and q
side opp (30°) : side opp (60°) : hypotenuse
1 : [tex]\sqrt{3}[/tex] : 2
s : q : 8
→ By using cross multiplication
∵ s × 2 = 1 × 8
∴ 2s = 8
→ Divide both sides by 2
∴ s = 4
∴ The length of s is 4
∵ q × 2 = [tex]\sqrt{3}[/tex] × 8
∴ 2q = 8[tex]\sqrt{3}[/tex]
→ Divide both sides by 2
∴ q = 4[tex]\sqrt{3}[/tex]
∴ The length of q is 4[tex]\sqrt{3}[/tex]
Related Questions
If b(x) = -2(x-50), what is the value of b(20)?
Answers
Answer:
60
Step-by-step explanation:
-2(20-50)
-40 + 100 = 60
2. through: (8,5), perpendicular to y=-1/2x +4
Answers
Y = 2x + b
Plug in point (8,5)
5 = 2(8) + b
5 = 16 + b
b = -11
Equation: y= 2x - 11
What is the solution to this system of equations?
x+y= 6
x=y+4
Answers
Answer:
5,1
Step-by-step explanation:
mark brain if right
x=5
y=1
Solving Steps:
Complete the work to solve for y:
What is the value for y?
Answers
Answer:
The value of y = 11/2
Step-by-step explanation:
As the work is completed up to the point
[tex]\frac{11}{5}=\frac{2}{5}y[/tex]
Now completing the remaining work
[tex]\frac{11}{5}=\frac{2}{5}y[/tex]
Dividing both sides by 2/5
[tex]\frac{11}{5}\div \frac{2}{5}=\frac{2}{5}y\div \frac{2}{5}[/tex]
[tex]\frac{2}{5}\cdot \frac{5y}{2}=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex] ∵ [tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{\frac{b}{c}}=\frac{a\cdot \:c}{b}[/tex]
[tex]\frac{2y\cdot \:5}{5\cdot \:2}=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex] ∵ [tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]
[tex]\frac{y\cdot \:5}{5}=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex] ∵ [tex]\mathrm{Cancel\:the\:common\:factor:}\:2[/tex]
[tex]y=\frac{\frac{11}{5}}{\frac{2}{5}}[/tex] ∵ [tex]\mathrm{Cancel\:the\:common\:factor:}\:5[/tex]
[tex]y=\frac{11\cdot \:5}{5\cdot \:2}[/tex] ∵ [tex]\mathrm{Divide\:fractions}:\quad \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c}[/tex]
[tex]y=\frac{11}{2}[/tex] ∵ [tex]\mathrm{Cancel\:the\:common\:factor:}\:5[/tex]
Therefore, the value of y = 11/2
y is directly proportional to x2
If y = 12 when X = 2 find
X when y = 300
Answers
Which Figure is a rotation of the Blue Figure?
A
B
C
D
Answers
Answer:
a
Step-by-step explanation:
the green figure is the same as the blue figure.
Insert brackets to make this calculation correct.
4 - 1 x 2 = 6
Answers
Answer:
(4-1)x2=6
Step-by-step explanation:
(4-1)x2=6
(3)X2=6
6=6
Answer:
[4 - 1] x 2 = 6
Step-by-step explanation:
Test out each possible solution.
Problem: 4 - 1 x 2 = 6
#1: [4 - 1] x 2 = 6
4 - 1 is 3.
3 x 2 is 6.
6 = 6 ✅
#2: 4 [-1 x 2] = 6
-1 x 2 is -2.
-2 [tex]\neq[/tex] 6 ❎
Therefore, #1 is correct.
What system of equations can be used to ring s, the cost in dollars of each standard photo and w, the cost in dollars of each wallet photo ?
Answers
Answer:
A
Step-by-step explanation:
Which of the following statements best describes the location of -(-6) on a number liner
A. It is 6 units to the left of 0.
B. It is 6 units to the night 6.
C. It is 6 units to the right of 0.
D. It is 6 units to the left of 6.
Answers
C. It is 6 units to the right of 0.
Explanation:
-(-6) can be rewritten as 6 because two negatives next two each other make a positive. 6 is 6 units to the right of 0, so therefore, -(-6) is also 6 units to the right of 0.
I hope this helps!
Jogging burns 375 calories in 45 minutes. Determine how many calories burned per hour?
Answers
Set them as proportions
375/46=x/60
Multiply 60 to each side to eliminate fraction
Then you’ll get x=500
During an 8-hour shift, Sophia can make
24 sweaters.
Answers
Answer:
so what can we do for Sophia???
LOL
Step-by-step explanation:
NG
1. An exterior angle of a triangle has a measure of 68º. Which of the following could not be the measure of
one of its remote interior angles?
Answers
Answer:
(4) 71°
Step-by-step explanation:
The sum of remote interior angles is equal to the sum of exterior angle.
The angle that could not be the measure of one of its remote interior angles is 71 degrees
First, we must understand that any interior angle of a triangle cannot be greater than its exterior angle.
The correct value in the given option will be any angle that is greater than 68 degrees.
From the given options, we can see that the only angle that is greater than 68 degrees is 71 degrees.
Hence the angle that could not be the measure of one of its remote interior angles is 71 degrees
Learn more here: https://brainly.com/question/24231058
x= 7
what does the following expression equal:
3+6x-12x+14
Answers
Answer:
-25
Given:
x=7
Step-by-step explanation:
3+6x-12x+14
⇒ 3 + 6(7) - 12(7) + 14
⇒ 3 + 42 - 84 + 14
⇒ 45 - 84 + 14
⇒ -39 + 14
⇒ -25
hope you understood!
Work from left to right
45-84+14=
-39+14=
ANSWER: -25
quadrilateral ABCD is a parallelogram A(-3,-2) B(-1,2) C(1,1) D(-1,-3)
Answers
Okay
Step-by-step explanation:
Plzzzzzz helpppppp meeeee
Answers
What are the answers
Answers
Answer:
81 for the first blank and 12 for the second.
Step-by-step explanation:
The rule is divie or multiply by 9. (depending on what side its asking)
Pls help me asap!!!!
Answers
What is the
proprtion?
Answers
What is the ratio of green stars to red stars? 4 green stars and 6 red stars
Answers
Answer:
2:3
Step-by-step explanation:
we have 4 green stars
and six red stars
as a ratio, it's
4:6
simplified
2:3
Is 2(6-3x)+x equivalent to 2(3x)+x?
Answers
2(6-3x) = 12-6x
2(3x)+x = 7x
If there are 420 students surveyed, which equation can be used to find the number of students s who prefer rap? Pop: 5/8 Jazz: 1/8 Rap: 1/4 Answers: A. 1/4s = 420 B. S = 1/4 * 420 C. S + 1/4 = 420 D. 420 + s = 1/4
Answers
Answer:
B. [tex]s=\dfrac{1}{4}\times420[/tex]
Step-by-step explanation:
Total number of students surveyed = 420
Of which only [tex]\dfrac{1}{4}[/tex] prefer rap.
So, the number of people who like rap is the product of the fraction of people who prefer rap and the total number of students.
[tex]\text{Number of students who prefer rap}=s=\dfrac{1}{4}\times420\\\Rightarrow s=105[/tex]
The number of students that prefer rap is 105
So the equation is [tex]s=\dfrac{1}{4}\times420[/tex].
There are 144 students in the school this year. One-quarter of the students have blue
eyes. One-sixth of the students have green/hazel eyes. Seven-twelfths of the students
have brown eyes. How many students have each of the three colours? SHOW ALL
OF YOUR WORK!
Answers
Answer:
Blue eyes = 36
green eyes= 24
brown eyes = 84
Step-by-step explanation:
144 divided by 4 is 36
144 divided by 6 is 24
144 divided by 12 is 12 and then multiplied by 7 is 84
hope this helps
Find the slope and the y-intercept of the line.
y = 8x - 1
Answers
Answer:
y = - 1
you basically replace with a 0 and multiply 8 and 0 which leaves you with y = -1
Two parallel lines are crossed by a traversal. What is the value of b?
b=32
b=52
b=118
b=128
Answers
Answer:
b = 128 answers it is alternate angle
Answer:
C). b=118
Step-by-step explanation:
took the test on edge
PLS HELP
Determine the intercepts of the line. y=11x+6 (x and y intercept)
Answers
Answer:
Step-by-step explanation:
the xintercept is (-6/11,0)
y intercept is (0,6)
15
The warmest temperature last winter was 17° F. The very next day, the temperature dropped 22° F. What was the actual temperature at the
end of the second night?
°F
Answers
Answer:
-5 degrees fahrenheit
Joe had a balance of $34 on his credit card. He bought a sandwich and charged $40 on his credit card. 1a.) Write an equation that represents this scenario.
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Credit card balance = $34
Amount of sandwich purchased = $40
The cost of sandwich purchased us added to the Initial credit card balance as the balance in a credit card is amount owed.
Hence it could be interpreted as though Joe has made purchases which amounts to $34 with his card before purchasing sandwich that costs $40
Hence; new card balance :
(Intial card balance + cost of sandwich)
$34 + $40 = $74
NEED HELP ASAP. WILL GIVE BRAINLIEST
Let w represent the sum of vectors u and v. Find the magnitude of w and the angle between w and u given the following information: u = 14 |v1 = 16 The angle between u and w is 120°.
The magnitude of w is approximately?
The angle between w and u is approximately?
Answers
Answer:
The magnitude of w is approximately 26.
The angle between w and u is approximately 32.2°.
Step-by-step explanation:
The magnitude of w is approximately 15.1, and the angle between w and u is approximately 62.67 degrees and this can be determined by using the given data.
Given :
Let w represent the sum of vectors u and v. |u| = 14 |v| = 16 The angle between u and w is 120°.a) The magnitude of 'w' is calculated using the below formula:
[tex]w = \sqrt{u^2+v^2+2uvcos\theta }[/tex]
Now, substitute the values of u, v, and [tex]\theta[/tex] in the above formula.
[tex]w = \sqrt{14^2+16^2+2\times14\times16\;cos120 }[/tex]
Simplify the above expression.
[tex]w =15.1[/tex]
b) The angle between w and u is calculated using the below formula:
[tex]tan\beta =\dfrac{vsin120}{u+vcos120}[/tex]
Now, substitute the above values of u and v in the above expression.
[tex]tan\beta =\dfrac{14\times sin120}{14+16\times cos120}[/tex]
Simplify the above expression in order to determine the value of [tex]\beta[/tex].
[tex]\beta = 62.67^\circ[/tex]
The magnitude of w is approximately 15.1, and the angle between w and u is approximately 62.67 degrees.
For more information, refer to the link given below:
https://brainly.com/question/13188123
penny reads 10 pages in 1/2
hour. What is the unit rate for pages per hour? For hours per page?
Answers
Answer:
she would read 20 pages in 1 whole hour
1) Which of the following is NOT a property of reflection?
A)distance between points is preserved (stays the same)
B)angle measure is preserved (stays the same)
C)pre-image and image are congruent
D)orientation is preserved (stays the same)
Answers
Answer:
orientation is preserved (stays the same)
Step-by-step explanation: