Use the law of sines to find the value of a.
B
95°
D
40°
a
4.7 cm
С
sin(A)
a
sin(B)
Law of sines:
sin(C)
C
Answer:
Step-by-step explanation:
''he Law of Sines is the relationship between the sides and angles of non-right (oblique) triangles . Simply, it states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in a given triangle.''
The best approximation value of a by using sine rule is 3.0cm. so option C is correct.
What is sine rule?The sides and angles of non-right triangles are related according to the Law of Sines.
The relationship between the angles and lengths of the sides:
a/sinA = b/sinB = c/sinC
We know according to law of sines:
a/sinA = b/sinB = c/sinC
by putting the values we can write,
a/sin40° = 4.7/sin95°
a = (4.7 ×sin40°)/sin95°
= 3.032
by putting the value of Sin40° and Sin95°.
we get a = 3.03cm.
Approximation value of a is 3.0cm.
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The complete question:
what is the best approximation of the value of a?
2.4 cm
2.7 cm
3.0 cm
3.3 cm
Given triangle ABC with ∠BAC=40°, ∠ABC=95°,AC = 4.7cm, BC = a cm.
How am I supposed to do this?
The two-sided limit exists as long as the limits from either side also exist and are equal. So to compute the limit, you have to compute the one-sided limits,
[tex]\displaystyle\lim_{x\to0^-}f(x)[/tex]
[tex]\displaystyle\lim_{x\to0^+}f(x)[/tex]
f(x) has a different definition and thus different behavior as x approaches 0 depending on which direction x is approaching 0:
• When x approaches 0 from the left (or from below), you use the definition of f for x < 0, so
[tex]\displaystyle\lim_{x\to0^-}f(x) = \lim_{x\to0}(-x-2) = -2[/tex]
• When x approaches 0 from the right (or above), you use the other definition, so
[tex]\displaystyle\lim_{x\to0^+}f(x) = \lim_{x\to0} \left(\frac x2-2\right) = -2[/tex]
The limits from either side match, so the two-sided limit exists and is also -2.
Directions: Select all the correct answers.
Yvette needs 5/8 of a teaspoon of salt, 2/3 of a tablespoon of baking soda, and 3/4 of a cup of sugar to bake a cake.
The order of the measurements from least to greatest are 5/8 < 3/4 < 2/3.
The order of the measurements from least to greatest are 5/8 < 2/3 < 3/4.
The numbers 5/8 and 3/4 are terminating decimals while 2/3 is a non-terminating decimal.
The numbers 5/8 and 2/3 are terminating decimals.
The number 5/8 is a terminating decimal while 3/4 and 2/3 are non-terminating decimals.
The number expands to 0.75 while expands to 0.6.
The number 5/8 expands to 0.625 while 3/4 expands to 0.75.
The order of the measurements from least to greatest are 2/3 < 5/8 < 3/4
Answer:
The order of the measurements from least to greatest are 5/8 < 3/4 < 2/3.
Step-by-step explanation:
Answer:
The numbers 5/8 and 2/3 are terminating decimals.
The order of the measurements from least to greatest are .
2/3<,5/8,<3/4
Step-by-step explanation:
study island
100 points / please help! i have no idea what im doing...
In the following diagram, what is the ratio of orange squares to white squares?
a) 11:5
b) 5:16
c) 5:11
d) 16:5
Answer:
b) 5:11
Step-by-step explanation:
count the orange squares and the white squares
For a car traveling at a speed of 50 miles per hour, the relationship between the distance traveled, d, and the time traveled, t, is described by the function d = 50t. Which statement is true?
A) The time traveled depends on the distance traveled
B) The speed of the car depends on the distance traveled
C) The distance traveled depends on the time traveled
D)The speed of the car depends on the time traveled.
Answer:
B) The speed of the car depends on the distance traveled
solve for x PLEASE HELP
Answer:
x=5
Step-by-step explanation:
11^X=11²×11³
11^X=11^5
x=5
Answer:
Anwer is x=5
Step-by-step explanation:
11^x-3=11
11^x-3= 121
x-3=2
add 3 both side
x=5 help this help 5 star please :)
the width of a rectangle is 2 inches less than its length, and the area is 35 sq inches. what are the length and width of the rectangle?
Answer:
5 and 7
Step-by-step explanation:
help please i am stuck
Answer:
x = 25
Angle B = 65 degrees
Angle C = 50 degrees
Step-by-step explanation:
All triangles will add up to 180 degrees.
65 + 3x - 10 + 2x = 180
Combine like terms
55 + 5x = 180
Subtract both sides by 55
5x = 125
Divide both sides by 5
x = 25
Plug in the value for x in angle B:
3(25) - 10
75 - 10
65
Do the same for angle C:
2(25)
50
Check your work:
65 + 65 + 50 = 180
180 = 180
Correct
find x using
dialations
Answer:
x = 14.4
Step-by-step explanation:
Using dilations, the following equation can be written to show the relationship between the two similar triangles:
x/4 = (6.5 + 2.5)/2.5
x/4 = 9/2.5
Cross multiply
x*2.5 = 9*4
2.5x = 36
2.5x/2.5 = 36/2.5
x = 14.4
what is the volume of the rectangular prisum
Answer:
40[tex]cm^{3}[/tex]
Step-by-step explanation:
The volume of the rectangular prism is equal to...
L x W x H (where L is length, W is width, and H is the height)
Therefore we know that the volume of this rectangular prism is...
L x W x H
8cm x 1cm x 5cm = 40[tex]cm^{3\\}[/tex]
HELP BRAINISET TO WHOEVER RIGHT
Answer:
A: 171.75
B: 170
Step-by-step explanation:
The mean (or average) can be found by...
- add all the numbers together (we will call this y)
- divide the total sum (or y) by the total amount of numbers used to add
Formula:
(x₁ + x₂ + x₃ + ... + xₙ) ÷ n
For A:
(172 + 130 + 173 + 212) ÷ 4 = 171.75
For B:
(136 + 184 + 168 + 192) ÷ 4 = 170
please help it's the last question
Answer:
1 is the answer
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
option 1!
Step-by-step explanation:
it started at 15 and ended at 23. also when u look at the sequence, 19 is in the middle. which shows in the graph that 19 is matching the line. but u might be confused since option 2 also has 19 matching the line... but look carefully. the square started at 17, but the sequence does not have 17 in it.
i hope this helped :D
Show you work please no links
Answer:
always catchin em lackin
Step-by-step explanation:
Rose uses 8.3 pints of white paint and blue paint to paint her bedroom walls. 3 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?
Answer: Rose used 2.075 pints of blue paint for her bedroom walls
Step-by-step explanation:
Amount of white and blue paint used for bedroom walls=8.3 pints
Amount of white paint used =3/4 x8.3 pints =6.225 pints
Amount of blue paint used = Amount of white and blue paint used for bedroom walls-Amount of white paint used
8.3 pints - 6.225 pints=2.075 pints
Please help, due soon. Use the information provided to write the standard form equation of each circle
Answer:
The answer is D
Step-by-step explanation:
the standard equation for circle is (x －h)² ＋(y －k)² = r² which h is the x coordinate, k is the y coordinate, r is radius. In this case, both x coordinate and y coordinate are 0, so the left side of the equation is x² + y², since the radius is √249, the r² is 249. So the equation is x² + y² = 249, and the answer is D.
Hope this will help❤️
According to the US Census, the percent of residents aged 65 or older in the 50 states and District of Columbia has mean 13.26% and standard deviation of 1.67% Find and interpret the standardized score for the state of Colorado, which had 9.7% of residents age 65 or older.
Answer:
z = -2.13
The standardized score for the state of Colorado is negative and this means the score is smaller than the mean.
Step-by-step explanation:
The above question can be solved using z score.
The formula for z score is given as:
z = (x-μ)/σ,
where
x is the raw score = 9.7%
μ is the population mean = 13.26%
σ is the population standard deviation = 1.67%
z = z score or standardize score
Hence,
z = 9.7 - 13.26/1.67
z = -2.13174
Approximately z = -2.13
Therefore, the standardized z score for the state of Colorado is negative and this indicates that the score is below or smaller than the mean.
Please help, I can't figure this out.
Answer:
5 seconds
Step-by-step explanation:
When the rocket is on the ground, then h = 0 , that is
- 6t² + 30t = 0 ← factor out - 6t from each term
- 6t(t - 5) = 0
Equate each factor to zero and solve for t
- 6t = 0 ⇒ t = 0 ← when rocket is launched
t - 5 = 0 ⇒ t = 5 ← time when rocket returns to ground
5 tons of fertilizer cost $14,100.00. What is the price per pound?
Answer:
$2,820
Step-by-step explanation:
$14,100.00 / 5= $2,820
What is 3 1/4 as a decimal?
Answer:
3.25 :)
Step-by-step explanation:
Answer:
3.25
Step-by-ste
Which is equivalent to 12 - 5x?
-12x+5
-5x+12
5x-12
12x -5
The equivalent expression to 12 - 5x is -5x+12. The correct option is B.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is 12 - 5x. The equivalent expression will be calculated as,
-5x+12 = 12 - 5x
Hence, the correct option for the given expression will be B.
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Hellllpppppppp me plsssss
Answer:
x is 38°
Step-by-step explanation:
180° - 142° = 38°.
Hope this will help❤️
Which expression is equivalent to 12 times the sum of 3 and "? Please helppp! I'll mark brainliest and no links please!
Answer:
Step-by-step explanation:
If any thing is in the brackets you need to do it first
so if you do 3 + x × 4 it will give yo 4x + 3 or 3 +4x
From the set {7, 15, 18), which of the values can be substituted for c to make the
equation true.
90 - 2c = 60
A. 7
B. 18
C. none of these
D. 15
Answer:
7-2=5
18-2=16
15-2=13
90-20=70
For this parallelogram (a) choose the best name and then (b) find the value of x and y.
Answer:
rectangle
7x + 4 = 36/2
7x + 4 = 18
7x = 14
x = 2
there is no y
Given that f(x) = 3x ^ 3 + x - 1 evaluate the function f(- 2)
Answer:
-27
Step-by-step explanation:
3(-2)³-2-1 =
3(-8)-3 =
-24-3=-27
Use the following function rule to find f(3).
f(x) =
8
x
+ 9
f(3) =
Answer:
f(3)= 33
Step-by-step explanation:
hello :
f(x) =8x+9
put x = 3 you have : f(3) =8(3)+9 = 24 + 9 =33
answer asap no wrong answer ~-~
Answer:
The correct option is (b).
Step-by-step explanation:
Given that,
The radius of the circle, r = 8 cm
The area of the sector, [tex]A=56\pi \ cm^2[/tex]
We need to find the measure of the sentral angle. The formula for the area of a sector is given by :
[tex]A=\dfrac{1}{2} r^2\theta[/tex]
Where
[tex]\theta[/tex] is the central angle
Substitute all the values,
[tex]\theta=\dfrac{2A}{r^2}\\\\\theta=\dfrac{2\times 56\pi }{8^2}\\\\\theta=\dfrac{7\pi}{4}\ rad[/tex]
So, the correct option is (b).
Find the area of the figure. (Sides meet at right angles.)
Answer:
32 square inches
Step-by-step explanation:
2(3) + 4(3+2) + 2(3) = 32 square inches
Jayda was buying a new pair of sneakers from an
online store. The original price was $96. The store was
having 35% off all sneakers. A 9% processing fee will
be applied to the cost of the sneakers, plus a shipping
fee of $4.99. How much will she pay for the sneakers,
including discounts, fees and shipping?
A) $73.01
C) $68.02
B) $58.75
D) $63.03
Answer:
A/$73.01
Step-by-step explanation:
Step One (1) : 35% off of $96 is %63.03. (This removes option D)
Step Two (1) : $63.03+The Shipping Fee ($4.99)
Step Three (3) : Add the 9% Processing Fee
Step Four (4): The Answer is $73.01!
I hope this helps and I hope you have a great day!
Find the area of the circle from the given diameter.
d= 4 ft
a 11.4 ft2
b 12.56 ft2
C 10.81 ft2
d 14.98 ft2
Answer:
B is our answer 12.56
When finding area for circles we do
radius x radius x pi
Since we don't have the radius in the problem we have to figure it out but it wont be so hard knowing that the radius is half of the diameter so 4 ÷ 2 = 2 so 2 is our radius now we need tp square it in easier words multiply by itself so
2 x 2 = 4 then we just do 4 x pi!
So 4 x 3.14 = 12.56 So our answer is 12.56
Hope this helps!