For the right triangles below, find the exact values of the side lengths a and c. If necessary, write your responses in simplified radical form.
Answers
Answer:
First triangle: [tex]a = 5\sqrt{2}[/tex], second triangle: [tex]c = \frac{8\sqrt{3}}{3}[/tex]
Step-by-step explanation:
In the first triangle, the value of [tex]a[/tex] is equal to the following trigonometric relation:
[tex]a = \frac{5}{\cos 45^{\circ}}[/tex]
[tex]a = \frac{5}{\frac{\sqrt{2}}{2} }[/tex]
[tex]a = \frac{10}{\sqrt{2}}[/tex]
[tex]a = \frac{10\sqrt{2}}{2}[/tex]
[tex]a = 5\sqrt{2}[/tex]
In the second triangle, we obtain the value of [tex]c[/tex] is equal to the following trigonometric relation:
[tex]c = 8\cdot \tan 30^{\circ}[/tex]
[tex]c = 8 \cdot \left(\frac{\sin 30^{\circ}}{\cos 30^{\circ}} \right)[/tex]
[tex]c = 8\cdot \left(\frac{\frac{1}{2} }{\frac{\sqrt{3}}{2} } \right)[/tex]
[tex]c = \frac{8}{\sqrt{3}}[/tex]
[tex]c = \frac{8\sqrt{3}}{3}[/tex]
Related Questions
please help me! and please do not guess or just say something to take points bc i will make sure your account gets deleted. thank you!! 20 points for answering
Answers
Answer:
1. 3.
Step-by-step explanation:
The answer to tx2x365 is 730t so when you solve the others you also get 730t
I need help ASAP! 20 point
I’m the xy-plane, a line has a slope of 6 and passed through the point (0,8). Which of the following is an equation of this line?
Answers
Answer:
A) y = 6x + 8
Step-by-step explanation:
Find the length of the third side. If necessary, round to the nearest tenth.
Answers
Where is the picture? Nothing is attached to your question.
Solve for the missing side
Answers
Step-by-step explanation:
12²=a²+9²
144=a²+81
a²=144-81
a²=63
a=√63
a=7.94
What is the solution to the equation 3 + = 4? y = y = y = 1 y = 4
Answers
Answer:
y = 1
Step-by-step explanation:
3 + y = 4
y = 1
Answer:
Step-by-step explanation:
I think its y=1 but I'm not sure
Hope this helps
Have a good day
Pls tell me if I'm wrong
There are 48 cars in the parking lot 16 are blue. What fraction of parked cars are blue? *
Answers
Answer:
16/48
Step-by-step explanation:
4,192 ÷ 3 explination
Answers
Answer:
[tex]1397\frac{1}{3}[/tex]
Step-by-step explanation:
Answer:
1,397.33333
Step-by-step explanation:
4,192/3 is 1,397.33333 because 3 goes into 4,192, 1,397 times fully and a third more (1/3) to fit.
To rent a van, a moving company charges $50.00 plus $5.50 per mile. The table shows the total cost for the number of miles driven. Enter an equation in slope-intercept form to represent this situation.
Answers
Devin buys four shirts of equal price for a total of 36$ and teo pairs of shoes for equal price of $25.He has to pay 8% sales tax on his purchases devin decides instead to purchase five shirts and one pair of shoes.If the sales tax is 8% how much will devin pay for his ourchase
Answers
Answer:
$65.88
Step-by-step explanation:
Given data
Sales Tax= 8%
Cost of shirt= $36
Cost of shoe= $25
Total cost= 36+25
Total=$61
Let us find the amount of the Tax
=8/100*61
=0.08*61
=$4.88
Hence the amount paid is
=61+4.88
=$65.88
a bamboo plant grows 53 1/4 inches in 1 1/2 mouth's what is the bamboo's growth rate in inches per month
Answers
Explanation
I did it like 2 weeks ago
QUICK HURRY PLEASE Liam gave his friends a puzzle. He said he had two numbers that were not between -1 and 1. However, when the
numbers were multiplied, the result was always less than either of the numbers.
If Liam's puzzle is true, which of the following statements is true?
A- Both numbers must be positive
B- Both numbers must be negative
C- At least one number will be negative
D- One number will be positive, and one will be negative
Answers
Answer:
D
Step-by-step explanation:
One number will be positive, and one will be negative
Answer:
The answer is option D
Step-by-step explanation:
multiplication of numbers having opposite signs will result in a number having negative sign .
GIVING BRAINIEST IF CORRECT!!!!!
On Monday the temperature was 31º F. By Thursday it went down to –8º F.
How much did the temperature drop?
Answers
Answer:
39 F
Step-by-step explanation:
32 - (-8) is 39 F. The answer is 39 farhenheit
Answer:
39 F
Step-by-step explanation:
the answer is 39 yan lang po sana makatulong hehehehe
Can someone help me pls!!
Answers
Answer:
x=1
Step-by-step explanation:
Find the volume of the sphere with radius of 9 cm. Round your answer to the nearest whole number and please be sure to include your units.
3
0 24,429 cm
3
339 cm
3
03.054 cm
3
O 763 cm
Answers
Answer:
3054cm rounded to the whole number
Step-by-step explanation:
4/3xxr^3
would become 4/3 x x 9^3
once you do all of the math you get 3054 cm.
Prove quadrilateral WXYZ is a rhombus.
Answers
Answer:
To prove a quadrilateral is a rhombus, here are three approaches:
Show that the shape is a parallelogram with equal length sides; Show that the shape is a parallelogram with equal length sides; Show that the shape's diagonals are each others' perpendicular bisectors; orShow that the shape is a parallelogram with equal length sides; Show that the shape's diagonals are each others' perpendicular bisectors; orShow that the shape's diagonals bisect both pairs of opposite angles.I will give branliest to the person who answers this right: 30 - 12÷3×2 =
Answers
Answer:
22
Step-by-step explanation:
brainliest?
Answer:
The answer is 52
Step-by-step explanation:
the question is
30 minus 12 divided by 3 times 2
so start with 12 divided by 3 that would equal 4
30 minus 4 times 2
then go to 30 minus 4 that would be 26
26 times 2
and 26 times 2 would be 52
Kevin is rolling two dice together and adding them up. Which sums should come up the most frequently?
Answers
Answer:
7 occurs most frequently.
Step-by-step explanation:
If we roll two dice, we do get sample space as
(1,1) = 1+1 =2 (4,1)=4+1=5
(1,2)= 1+2 =3 (4,2)= 34+2=6
(1,3)= 1+3=4 (4,3)= 4+3=7
(1,4)=1+4=5 (4,4)= 4+4=8
(1,5)=1+5=6 (4,5)= 4+5 =9
(1,6)=1+6=7 (4,6)= 4+6=10
(2,1)= 2+1=3 (5,1)= 5+1=6
(2,2)=2+2=4 (5,2)=5+2 =7
(2,3)= 2+3=5 (5,3) =5+3=8
(2,4)=2+4=6 (5,4) =5+4 =9
(2,5)=2+5=7 (5,5)=5+5=10
(2,6)=2+6=8 (5,6)=5+6=11
(3,1)=3+1=4 (6,1)= 6+1=7
(3,2)=3+2=5 (6,2)=6+2=8
(3,3)=3+3=6 (6,3)=6+3=9
(3,4)=3+4=7 (6,4) =6+4 =10
(3,5) =3+5=8 (6,5)=6+5=11
(3,6)=3+6=9 (6,6)=6+6=12
2 occurs for 1 time
3 occurs for 2 times
4 occurs for 3 times
5 occurs for 4 times
6 occurs for 5 times
7 occurs for 6 times
8 occurs for 5 times
9 occurs for 4 times
10 occurs for 3 times
11 occurs for 2 times
12 occurs for 1 time.
So, 7 occurs most frequently.
HELP PLEASE. A truck bed has a volume of 120 cubic feet. The bed is 4 feet wide and has a height of
3 feet. What is the length of the bed?
Options:
A: 40
B: 1
C: 3
D: 10
Answers
Answer:
D
Step-by-step explanation:
Volume = lwh
120 = l(4)(3)
l = 10 feet
simplify r +5/2 + r-4 /3
Answers
Answer:
2r+7/6
Step-by-step explanation:
Answer:
2r +7/6
Step-by-step explanation:
See the steps below:)
What the answer to this please
Answers
Answer:
The answer for x is 80°
Step-by-step explanation:
60°+40°+x=180°
X=180°-60°-40°
X=80°
X=80
Ravi worked 6 days for a total of 64.2 hours. If he worked the same number of hours each day, how many hours did he work in a day
Answers
10.7 hours per day
Step-by-step Explanation:The total is 64.2.
If Ravi worked for 6 days and worked the same amount of hours each day then you do:
64.2 hours ÷ 6 days = 10.7 per day
Hope this helps!-Finny
Question
If two chords intersect inside a circle, then the products of the lengths of the segments of the chords are
A
sometimes equal.
B
never equal.
always equal.
cannot be determined
Answers
Please solve. Thanks.
Answers
Answer:
90°
Step-by-step explanation:
a square in the corner of an angle always indicates 90° because each corner of a square is also 90°
please help
Select all the correct answers.
Which expressions are equivalent to the given expression?
Answers
It's (A).
................................
The above expression can be rewritten as
log(10) x^5 + log(10) 20 - log(10) 10
= log(10) [(20x^5)/10]
= log(10) (2x^5)
Solve for y:
x + 2y = -8
y=-1/2x+4
y=-1/2x-4
y=-2x - 4
y=1/2x-4
Answers
Answer:
x + 2y = -8 = y = -4 - 1/2x
y= -1/2x + 4 = y = 4
y= -1/2x - 4 = y = -4
y=-2x - 4 = y = -4
y=1/2x-4 = y = -4
Step-by-step explanation:
(x + 2y = -8 = y = -4 - 1/2x)
[tex]x+2y=-8\\2y=-8-x\\y=-4-\frac{1}{2}x\\[/tex]
....................
Answers
Answer:
-4
Step-by-step explanation:
hope this helps with the work
Analyze the diagram below and complete the instructions that follow.
Find m
Answers
Answer:
D. 70.53
Step-by-step explanation:
To solve this problem, one must use the right angle trigonometric rations. These ratios can be used to describe the ratio between the sides and an angle in a right triangle. Please note, each side is named relative to the angle that one is looking at, thus the same side can acquire different names based on the angle one uses to describe it. The trigonometric ratios are the following:
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
In this case, one is asked to find the measure of (<CBA), one is given the hypotenuse (the side opposite the right angle), and the side adjacent to this angle. Therefore, one should use the cosine (cos) function to find this angle.
[tex]cos(\theta)=\frac{adjacent}{hypotenuse}[/tex]
Substitute,
[tex]cos(CBA) = \frac{3}{9}[/tex]
Simplify
[tex]cos(CBA) = \frac{1}{3}[/tex]
Inverse operations,
[tex]CBA=cos^-1(\frac{1}{3})[/tex]
Compute,
m<CBA = 70.53
20 POINTS!
Find the Area of the Circle:
Answers
Answer:
1st option
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
A = 3.14 × 3² = 3.14 × 9 = 28.26 cm²
Answer:
[tex]area \ of circle = \pi r^{2} = 9\pi \ cm^{2} = 28.27cm^{2}[/tex]
-7n = 84 round to the nearest hundredth
Answers
Answer:
n=-12
Step-by-step explanation:
Emergency i will make brainly!! i need an answer cause its due today! And there are no options just solve
Answers
Answer:
cylinder
Step-by-step explanation:
A cylinder is generated by rotating a rectangle about one of its edges
Answer:
Cylinder
Step-by-step explanation:
A Cylinder is made by rotating one of a rectangles angles!! GoodLuck<33