Trigonometry help finding the value of x
Answer:
[tex]5\sqrt{3}[/tex] or 8.66
Step-by-step explanation:
use tan:
tan = [tex]\frac{opposite}{adjacent}[/tex]
⇒ tan 60 = [tex]\frac{x}{5}[/tex]
tan of 60 is 1.73
⇒ 1.732 = [tex]\frac{x}{5}[/tex]
multiply 5 on both sides
⇒ 1.732 x 5 = [tex]\frac{x}{5}[/tex] x 5
⇒ 8.66
Answer:
[tex]\boxed {\boxed {\sf D. \ 5 \sqrt 3 \ or \ 8.66}}[/tex]
Step-by-step explanation:
Remember the 3 main trigonometric ratios:
sinθ= opposite/hypotenuse cosθ= adjacent/hypotenuse tanθ= opposite/adjacentWe are given the 60 degree angle. 5 is adjacent to the angle and x is opposite. Therefore, we must tangent.
[tex]tan \theta= \frac {opposite}{adjacent}[/tex]
[tex]tan60=\frac {x}{5}[/tex]
Since we are solving for x, we must isolate that variable. It is being divided by 5 and the inverse of division is multiplication. Multiply both sides by 5.
[tex]5(tan60)=\frac {x}{5} *5[/tex]
[tex]5(tan60)=x\\5*$$1.73205080757= x\\8.66025403784=x[/tex]
If we round to the nearest hundredth, the 0 in the thousandth place tells us to leave the 6.
[tex]8.66 \approx x[/tex]
x is about 8.66 or 5√3, which is choice D.
solve using they law of exponents
(2^4)^5
Answer:
2^20
Step-by-step explanation:
2^4x5
= 2^20
PLEASE HELP!!!!!!!!!!!!!!!!
Answer:
calculate the surface by 2πrh+2πr².
Two rectangles are similar. Which proportion
could you solve to find the missing side length?
ILL GIVE U BRAINLEST PLEASE HELP ME
Answer:
D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
x=6
Hopefully it is correct and I tried my best good luck
Caleb cut a rope into 4 pieces. The lengths of the pieces of rope are 5 2/8 inches, 7 7/8 inches, 4 1/8 inches, and 3 3/8 inches. Which choice is the closest estimate of the length of the original rope
Answer:
the actual answer is 20.625 and since there aren't any choices I'll give u my estimated answer: 20
Step-by-step explanation:
I got my estimated answer by rounding each length of rope down or up according to if it was less than 4/8 or higher. example: rounded 7 7/8 to 8
hope this helps <3
Davie and Horatio are riding their motorbikes on a scenic tour that is 80 miles long. Davie rides at 20 miles per hour and leaves 90 minutes before Horatio. How fast must Horatio ride to finish at the same time as Davie?
24 mph
24.5 mph
32 mph
33.3 mph
The speed Horatio ride to finish at the same time as Davie is mathematically given as
X=32 mph
What is the speed Horatio ride to finish at the same time as Davie?Question Parameter(s):
Davie and Horatio are riding their motorbikes on a scenic tour that is 80 miles long.
Davie rides at 20 miles per hour and leaves 90 minutes before
Generally, the equation for the speed Horatio is mathematically given as
X=d/t
Therefore
X= (80)/(2.5)
X=32 mph
Read more about Arithmetic
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Help me lol please and thank you
g(x) = −2x + 3; Find g(1)
Answer:
1
Step-by-step explanation:
g(1) = -2(1) + 3
g(1) = -2 + 3
g(1) = 1
(20 Points)
y = 4(x + 6)2 + 2
O y = -4x² + 48x + 136
O y = 4x2 + 48x + 146
O y = x² - 48x + 146
O y = -14x2 – 48x – 146
Answer:
2nd option will be the answer (y=4x²+48x+146)
Step-by-step explanation:
y=4(x+6)²+2
y=4(x²+2*x*6+6²)+2 [(a+b)²=a²+2ab+b²]
y=4(x²+12x+36)+2
y=4(x²)+4(12x)+4(36)+2
y=4x²+48x+144+2
y=4x²+48x+146
Given the first term and the common ratio of a geometric
sequence find the first five terms and the explicit formula. a1
= 0.8, r= −5
Answer:
nth term = 0.8 * -5^(n - 1)
First five terms are: 0.8, -4,
20, -100, 500
Step-by-step explanation:
First term, a1 = 0.8
Common ratio, r = -5
a1 = 0.8
Second term = ar
= 0.8 * -5
= -4
Third term = ar²
= 0.8 * -5²
= 0.8 * 25
= 20
Fourth term = ar³
= 0.8 * -5³
= 0.8 * -125
= -100
Fifth term = ar⁴
= 0.8 * -5⁴
= 0.8 * 625
= 500
First five terms are: 0.8, -4,
20, -100, 500
nth term = ar^(n - 1)
= 0.8 * -5^(n - 1)
nth term = 0.8 * -5^(n - 1)
Please Help! I'll give brainliest!
Q1. Peter bought 3slices of chicken pizza and 4 slices of mushroom pizza for a total of $12.50.
Mary bought 3 slices of chicken pizza and 2 slices of mushroom pizza for a total cost of $8.50.
What is the cost of one slice of chicken and one slice of mushroom?
PLS HELP
The graph below shows the #tal distance, in miles, traveled by a towboat over time,
in hours.
AVERAGE SPEED
OF TOWBOAT
21.00
Total Distance (miles)
15.75
10.50
5.25
0 1 2 3 4
Time (hours)
Which statement best describes the meaning of the coordinates of point Fon
the graph?
It shows the unit rate of the graph in hours per mile
Answer:
it shows the unit rate of the graph in miles per hour.
Step-by-step explanation:
Answer:
It shows the unit rate of the graph in miles per hour
Step-by-step explanation:
...
help me with these 3 and i’ll love you forever and give you brainliest:)
Answer:
18. 5
19. 1
20. B) (0,-11)
Here are the
the first 5 terms of a sequence.
29 25 21 17 13
Find an expression, in terms of n, for the nth term
of this sequence.
Step-by-step explanation:
hope it help you.......
I need help with this, I’ll give brainliest!
Answer:
A
Step-by-step explanation:
Only graph A satisfies the domains provided
When you rotate 90 degrees counterclockwise the (y) becomes?
Answer:
Step-by-step explanation:
Rotations About The Origin
When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative.
how do i Solve 5p + 7 = 22
Answer:
p = 3
Step-by-step explanation:
22 - 7 = 15
5p = 15
p = 15 ÷ 5 = 3
please help due in one hour
Suppose you deposited $200 in a savings account 4 years ago. The simple interest rate is 2.1%. The interest that you earned in those 4 years is $16.80. Which of the following is/are true? Select all that apply.
A. r = 2.1%
B. t = 4
C. p = 16.80
D. l = 200
Danny purchased a large wheel of cheese at the farmer's market.What is the volume of the cheese, to the nearest cubic inch ?
Answer:
1105.84 in³
Step-by-step explanation:
The volume of the wheel can be obtained using the formular for the volume of a cylinder :
V = πr²h ;
Height, h = 5.5 in
Radius, r = 8 in
V = π * 8² * 5.5
V = π * 64 * 5.5
V = π * 352
Volume of wheel = 1105.8406 in³
Plz help i will give
Answer:
The equation to be used is 4/8 × 8/12=1/3
Find the value of x in the angle pair.
Answer:
x=30
Step-by-step explanation:
180-55=125
5x-25=125
125+25=150
5x=150
5/150=30
x=30
Help plz!!,!!!!!!,!!!!!,!,!,!,
Answer:C
Step-by-step explanation:
Milo wants to roll epoxy on his garage floor. In order to do this he needs to know the area of his rectangular-shaped garage. The measurements are 20+ (radical) 3 feet by 20+ (radical) 3 feet.
What is the area of his garage floor?
(Remember, the formula for the area of a rectangle is A = lw.)
Please help. I've been stuck on this problem. :)
Answer:
A
Step-by-step explanation:
i got it right on edge
The area of his garage floor Milo wants to roll epoxy is 403 + 40√3 ft².
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
Given, Milo wants to roll epoxy on his garage floor.
The measurements are 20 + √3 feet by 20 + √3 feet.
Therefore, The area of his garage floor is,
= (20 + √3)×(20 + √3) ft².
= 400 + 20√3 + 20√3 + √3×√3 ft².
= 400 + 40√3 + 3 ft².
= 403 + 40√3 ft².
learn more about rectangles here :
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How do long-term goals differ from short-term goals?
Step-by-step explanation:
Long-term goals require more patience than short-term goals do.
I hope it's helpful!
What is the image of (12, 4) after a dilation by a scale factor of 1
centered at the origin?
For what value of q is the equation -13(q + 4) = 7q + 16
Answer:
Q = -3.4
Step-by-step explanation:
Our original equation is: -13(q+4)=7q+16
if we simplify this, we get: -13q-52=7q+16
Subtract 16 from both sides: -13q-68=7q
Add 13q to both sides to get: -68=20q
divide the equation to get this: -3.4=q
what is 2+2
A Fish
B 4
C 8
D 12
Answer:
Answer B.4
Step-by-step explanation:
I hope it's helpful!
Help Please !!
A baby bird can eat 14 feet of earthworm every day. At this rate, how many days would it take six baby birds to eat 840 feet of worms?
Answer:
10
Step-by-step explanation:
Answer:
10 days
Step-by-step explanation:
840 feet of worms divided by 6 birds = 140
If a baby bird can eat 14 feet of earthworms every day, then:
140 divided by 14 = 10
It would take 10 days for 6 birds to eat 840 feet of worms