Answers
Answer:
a = 7, b = [tex]\frac{7\sqrt{3} }{3}[/tex]
Step-by-step explanation:
Using the sine ratio in the left right triangle and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{7\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
a × [tex]\sqrt{2}[/tex] = 7[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )
a = 7
--------------------------------------------------------
Using the tangent ratio in the right triangle on the right and the exact value
tan60° = [tex]\sqrt{3}[/tex] , then
tan60° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{a}{b}[/tex] = [tex]\frac{7}{b}[/tex] = [tex]\sqrt{3}[/tex] ( multiply both sides by b )
b × [tex]\sqrt{3}[/tex] = 7 ( divide both sides by [tex]\sqrt{3}[/tex] )
b = [tex]\frac{7}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] = [tex]\frac{7\sqrt{3} }{3}[/tex]
Related Questions
Part A: Mike wants to join a gym. He has to pay an initiation fee of $16 and equal monthly payments for the year. The most he wants to pay is $580 for the year for his gym membership. a.) Write an inequality that you can use to determine the most he would want to spend for his monthly payments.
Part B: Now use your inequality from 15a to determine how much Mike’s monthly gym payment can be if the most he wants to pay is $580 for the year for his gym membership..
Answers
Answer:
Part A: [tex]12x+16\leq 580[/tex]
Part B: $47 per month
Step-by-step explanation:
Part A: 12 months in a year. Pays x amount of $ per year, with an additional $16 initiation fee. He wants to spend less than $580 total a year. Thus, [tex]12x+16\leq 580[/tex].
Part B: Solve the inequality for x.
$580 - $16 = $564
x = $564/12 = $47
Hope this helps! :)
In which choice is
not a function of x?
A(2, -3), (-2, 3), (3,-2), (3, 2)
B. (2, 3), (3, 4), (-4, 5), (-5, 6)
c. (3,-2), (3, 2), (3, 3), (2, 2)
D. (1, 1), (1, 2), (2, 3), (3, 4)
Answers
plz answer for brainlist Brianna pays a phone company a basic
fee of $90 for cell phone service for 30
days. She also has to pay x dollars if she
uses extra data streaming. Which equation
can be used to find t, the total number of
dollars Brianna will pay the company for 30
days of phone service with extra data
streaming?
Answers
Answer:
Hello! Your answer would be,
Step-by-step explanation:
Write as an inequality: x is at least 30. If ... The method we will use to solve applications with linear inequalities is very ... If he charges ?60 per job, how many jobs must he do to earn a profit of at least ?4,000 a month? ... Find your last month's phone bill and the hourly salary you are paid at your job. ... 30\text{°},60\text{°},90\.
Please solve 6 - 3x = 14
Answers
Answer:
Step-by-step explanation:
Answer:
X= -8/3
Step-by-step explanation:
HELP
question and diagram is circled in picture
Arc PR = ___ degrees
Answers
HELP⁉️⁉️⁉️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️
Answers
Answer:
C 684 sq. m
Step-by-step explanation:
[tex]A = \frac{a + b}{2} h[/tex]
(26 + 46) /2 x 19 = 684
Find f(-5) if f(x) = x+ 11.
06
05
04
Answers
GIVING BRAINLIEST!!!
The first rule is multiply by 2, then subtract 4 starting from 6. The second rule is add 3, then multiply by 2 starting from 1. What are the first four ordered pairs using the two sequences?
A (0, 0) (6, 1), (8, 2), (12, 22)
B (6, 1), (10, 8), (14,22), (22, 50)
C (6, 1), (8, 8), (12, 20), (20, 45)
D (6, 1), (8, 8), (12, 22), (20, 50)
Answers
Answer:
D, (6,1), (8,8), (12,22), (20,50)
Step-by-step explanation:
Hope this helps!! :D
help me answer the last question
Answers
Can anyone pls help me with this, I don't even know where to start? I can also give Brainliest
Answers
They should add up to be 360 so you can set up an equation like so
120+90+100+x=360
And x = 50
Answer:
x = 50°
Step-by-step explanation:
The triangle has 3 congruent sides and is therefore equilateral.
The 3 angles are then congruent, each 60°
The left angle in the quadrilateral is adjacent to 60° of the triangle
180° - 60° = 120° ← angle inside quadrilateral
The sum of the interior angles of a quadrilateral = 360°
Subtract the sum of the angles from 360° for x
x = 360° - (120 + 90 + 100)° = 360° - 310° = 50°
What does 2x+1-3=0 means
Answers
Answer:
it means that 2x+1-3 will equal to 0
Step-by-step explanation:
your on a app for answers
Andrea uses 9.8 pints of white paint and blue paint to paint her bedroom walls. 1 4 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Answers
Answer:
7.35
Step-by-step explanation:
Andrea uses 9.8 pints of white and blue paints to paint her bedroom walls
1/4 of this amount is white paint
= 1/4 × 9.8
= 0.25×9.8
= 2.45
Therefore the amount of blue paint can be calculated as follows
9.8-2.45
= 7.35
Hence 7.35 are blue paint
please helppp
Solve with ratio sin(30) to solve the missing side length x. Round to the nearest tenth
Answers
Explanation:
sin=opposite side/hypotenuse
The opposite side is x and the hypotenuse is 10.
So your equation is: sin(30)=x/10
In order to get x by it self times ten to each side of the equation.
10 x sin(30)= x
Put 10 x sin(30) into graphing calculator and make sure your calculator is set to degrees.
Your answer:
5= x
Work on paper:
Answer:
we have
sin30=perpendicular/hypotenuse
1/2=x/10
x=½×10=5
x=5
is your answer
26. If you know the lengths of two sides and the measure of _____ angle(s) of a right triangle, you can find the measure of the other two angles and the length of the other side.
Answers
Answer:
1
Step-by-step explanation:
For any triangle, you only need to know 3 pieces of information out of the 6 angles and sides to solve for the rest of the triangle.
1 ÷ 1/4 what does that equal
Answers
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
could somebody answer both?
1. Our new computer is 3 times faster than our old one. How fast is the new computer?
2.A geology kit costs $85. Sophia has $25 and plans to save $5 a week until she can pay for the kit. How many weeks will it take before she can buy the geology kit?
Answers
Answer:
1. 3x faster
2. 12 weeks
Step-by-step explanation:
(85-25)/5=12
What us the y-intercept of the function described in the table
Answers
Answer:
10
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST!!!!!
On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 9kg weighs 63 N . Find the weight of an object whose mass is 5kg.
Answers
Answer:
35
Step-by-step explanation:
9Kg =63N
5Kg=X (Cross Multiple)
=X×9 =5×63
divide both sides by 9
X=5×63
---------
9
=35
Answer:
35 N
Step-by-step explanation:
let w = weight of object
and m = mass of object
w = mk where k is the constant of proportion
63 = 9k
k = 7
So, w = 7m
w = 7(5) = 35 N
If the discriminant of an equation is positive, which of the following is true of the equation
A it has one complex solution
B it has one real solution
C it had two real solutions
D it has two complex solutions
Answers
Answer:
C it has two real solutions
Step-by-step explanation:
If the discriminant of a quadratic equation is positive, it means that the graph intersects the x-axis, and hence produces two real solutions.
If the discriminant is zero, then the graph is tangential to the x-axis, and there will be two real coincident solutions.
If the discriminant is negative, then there are two complex solutions.
Answer:
C
Step-by-step explanation:
I need help with circle similarity / scale factor. can someone please help me out?
Answers
Answer:
A scale factor exists because any two circles are similar. You can use the radii to determine the scale factor.
Step-by-step explanation:
The ratio between the radii is 31 so the scale factor is 31=3. The circumference of the smaller circle is C=2π(1)=2π.
1. Put the following numbers in order from least to greatest. 0.8, 1/10, 3/100, 0.91
2. Put the following numbers in order from least to greatest. 0.9, 0.35, 11/100, 7/10, 0.6, 0.21
3 Put the following numbers in order from least to greatest. 36/100, 0.2, 1/10, 8/100, 0.5, 0.44
PLEASE HELP ITS DUE IN 10 MINUTES
Answers
Answer:
0.8,0.91,1/10,3/100
0.6,0.9,0.21,0.35,7/10,11/100
0.2,0.5,1/10,0.44,8/100
Step-by-step explanation:
Answer:
0.8,0.91,1/10,3/100
0.6,0.9,0.21,0.35,7/10,11/100
0.2,0.5,1/10,0.44,8/100Step-by-step explanation: IVE DONE THIS BEFORE TOO
find the surface area of a rectangular prism with dimensions 5 ft 6 ft 7 ft
Answers
Answer: 214 sq ft
Step-by-step explanation:
A=2(wl+hl+hw)=2·(6·5+7·5+7·6)=214
Answer:
214 ft
Step-by-step explanation:
hope this helps
Customer- I recently saw an advertisement that said your company would give 5% discount to anyone who enrolls in your automatic payment plan, my monthly bill is $75 how much will I save if I enroll?
Answers
Answer: $3.75
Step-by-step explanation:
The amount that you would save is 5% of your monthly bill of $75.
This amount is:
= 75 * 5%
= $3.75
The total amount that you would pay is:
= 75 - 3.75
= $71.25
Find the missing length. The triangles in each pair are similar.
A. 17
B. 16
C. 11
D. 13
Answers
21/7=3
39/3=13
What is the nearest ten for the point shown on the number line below?
Answers
Answer:
the fourth
Step-by-step explanation:
Find the measure of the indicated angle to the nearest degree.
37
20
Answers
My calc is buggin so i cant do it
Answer:
the angle is a sin angle
so sin=opposite
adjacent
sin=20/37
sin=0.3420/0.6018
the answer is 0.5683
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answers
The two triangles are congruent. Find the unknown variables.
Answers
Answer:
Z=18
Y=110
X=27
Step-by-step explanation:
since they are congruent, the corresponding sides are the same
Which of the following Metric prefixes is largest?
O A. kilo
O B. mega
O c. deci
O D. giga
Answers
Answer:
mega cause it is bigger than giga which is bigger than kilo
I cant find the value of x
Im not sure how to find the value of x in the attached triangle, could someone please help?
Answers
Answer:
8+6x=30+4x+2 The answer is 12
Step-by-step explanation:
Reason - The sum of opposite interior of a triangle is equal to opposite exterior angle .